{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Principle Component Analysis\n",
"\n",
"version 1 23/2/2018. Wing-Fai Thi\n",
"\n",
"How feature engineering using PCA can improve classification accuracy?\n",
"\n",
"### Summary of PCA characteristics:\n",
"- PCA is an unsupervised learning method\n",
"- the eigenvectors (principal components) of a covariance matrix determine the directions of the new feature space, and the eigenvalues determine their magnitude.\n",
"- a correlation matrix can be used instead because the correlation matrix can be understood as the normalized covariance matrix.\n",
"- geometrically the PCA transformation from data axes to principal axes is an affine transformation, composed of a translation, rotation, and uniform scaling.\n",
"- PCA components explain the variance in the data in decreasing importance. The principal component (1st component) points in the direction of the largest variance. Each subsequent component is orthogonal to the previous ones, and points in the directions of the largest variance of the residual subspace.\n",
"- if the data are linearly correlated, the PCA components will be uncorrelated.\n",
"- to compute the PCA: use standardized data to generate covariance matrix or correlation matrix. Compute the eigen vectors that are the principal component, which will give the direction and compute eigen values, which will give the magnitude.\n",
"- practically the transform is performed through a Singular Value Decomposition. SVD is a linear algebra method that decomposes a matrix into three resultant matrices.\n",
"- No hyper-parameter is required.\n",
"- a PCA transform is also called the Karhunen-Loeve transform\n",
"\n",
"\n",
"\n",
"### Usages of PCA:\n",
"- dimensionality reduction. The first few components can explain most of the variance in the data\n",
"- find unseen relationships between features\n",
"- noise reduction. Compared to the actual data, the noise variance is small\n",
"- outliers are also removed\n",
"- feature engineering. Feature engineering uses our knowledge of the problem to choose features or create new features that allow machine learning algorithms to work more accurately. One can analyse the transformed features instead of the original ones.\n",
"\n",
"### Principle use cases:\n",
"- Fraud detection (outlier detection)\n",
"- Spam detection\n",
"- Image recognition\n",
"- Speech recognition\n",
"\n",
"### Limitations of PCA:\n",
"- the results of PCA depend on the scaling of the variables. \n",
"- it tends to be highly affected by outliers in the data.\n",
"- it assumes that the relationships are linear. Otherwise, PCA-transformed features may still be correlated. \n",
"- for classification, the first component may not bring the highest discrimnating power\n",
"\n",
"### Related concepts:\n",
"- Kernel PCA: this method can deal with nonlinearity\n",
"- Independent Components Analysis (ICA)\n",
"- Factor Analysis (FA), also called Exploratory Factor Analysis (EFA)\n",
"- Principle curve and manifolds: t-distributed Stochastic Neighbor Embedding (t-SNE) and Barnes-Hut t-SNE. The algorithms are based on nearestneighbor search, they are sensitive to the scale of the data.\n",
"- Linear Discriminant Analysis (LDA): LDA aims to find the directions that maximize the separation (or discrimination) between different classes. LDA is therefore a supervised learning method.\n",
"\n",
"### Power transform:\n",
"\n",
"from Wikipedia:\n",
"\"In statisitics, a power transform is a family of functions that are applied to create a monotonic transformation of data using power functions. This is a useful data transformation technique used to stabilize variance, make the data more normal distribution-like, improve the validity of association such as the Pearson correlation between variables and for other data stabilization procedures.\"\n",
"\n",
"- Box-Cox\n",
"- Bickel and Doksum\n",
"- The family of Johnson transformations\n",
"- Yeo and Johnson\n",
"\n",
"### References:\n",
"- Python Data Science Handbook by Jake VanderPlas\n",
"- A tutorial on Principal Component Analysis by Jon Shlens arXiv:1404.1100v1\n",
"- sklearn manual\n",
"- Numerical Recipes by W. Press, S. Teukolsky, W. Vetterling and B. Flannery\n",
"- The Elements of Statistical Learning by T. Hastie, R. Tibshirani, J. Friedman\n",
"- A tutorial on Principal Component Analysis by Lindsay I. Smith\n",
"- Machine Learning in Action by Peter Harrington\n",
"- XGBoost manual\n",
"- Mastering Machine Learning with Pythonin Six Steps by M. Swamynathan\n",
"- Neural Networks for Patter Recognition by Ch. Bishop\n",
"- Probabilistic Principal Component Analysis by M Tipping and Ch. Bishop, Microsoft Research\n",
"- G.E.P. Box and D.R. Cox, “An Analysis of Transformations”, Journal of the Royal Statistical Society B, 26, 211-252 (1964).\n",
"- Johnson, N. L. (1949). Systems of frequency curves generated by translation. Biometrika, 36, 149–176. Inverse hyperbolic sine (IHS)\n",
"- Yeo-Johnson Yeo In-Kwon & Johnson, R. (2000) A new Family of Power Transformations to improve Normality or Symmetry. Biometrika Serie B, 87, 954\n",
"- Rob Hyndman\n",
"\n",
"- http://www.itl.nist.gov\n",
"\n",
"\n",
"### Aim of this notebook:\n",
"- We will show the potential advantage of preforming a PCA transform of the original data before using a classifier. We will also describe a simple way to \"linearized\" feature relationships to increase further the accuracy."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The required packages are numpy, pandas, matplotlib, sklearn, and xgboost. Other statistical tests/tools that will be used are:\n",
"- Spearman Rank test for correlation\n",
"- Kolmogorov-Smirnov 2-sample test\n",
"- Box-Cox \"normalization\" algorithm\n",
"- Chi-square test\n",
"- Andersen-Darling test for normal-distribution\n",
"- K-fold cross-validation\n",
"- Gradient Boosting "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sb\n",
"# Statisitcal Kolmogorov-Smirnov 2 sample test, ... from scipy\n",
"from scipy.stats import spearmanr,ks_2samp, chi2_contingency, anderson\n",
"from scipy.stats import boxcox\n",
"from scipy.special import inv_boxcox\n",
"# unsupervised algorithm PCA \n",
"from sklearn.decomposition import PCA,FactorAnalysis\n",
"# scikit-learn standard scaler, stratified K-fold cross-validation, metric \n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.model_selection import StratifiedKFold\n",
"from sklearn.metrics import accuracy_score\n",
"# XGBoost\n",
"from xgboost.sklearn import XGBClassifier\n",
"from IPython.display import display, Image, SVG, Math\n",
"from scipy.stats import rv_discrete\n",
"%matplotlib inline \n",
"sb.set_style('whitegrid')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Function to draw vectors taken from vanderPlas' book"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def draw_vector(v0, v1, ax=None):\n",
" ax = ax or plt.gca()\n",
" arrowprops=dict(arrowstyle='->',\n",
" linewidth=2,\n",
" shrinkA=0, shrinkB=0)\n",
" ax.annotate('', v1, v0, arrowprops=arrowprops)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A function to plot the data and the PCA vectors"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def plot_data(X,Y):\n",
" plt.scatter(X[:, 0], X[:, 1], alpha=0.2, label='X')\n",
" plt.scatter(Y[:, 0], Y[:, 1], alpha=0.2, label='Y')\n",
" for length, vector in zip(pca.explained_variance_, pca.components_):\n",
" v = vector * 3 * np.sqrt(length)\n",
" draw_vector(pca.mean_, pca.mean_ + v)\n",
" plt.legend(frameon=True) \n",
" plt.axis('equal')\n",
" plt.xlabel('Feature 1')\n",
" plt.ylabel('Feature 2')\n",
" plt.show()\n",
" \n",
"def plot_transformed_data(X,Y,method):\n",
" plt.scatter(X[:, 0], X[:, 1], alpha=0.2, label='X')\n",
" plt.scatter(Y[:, 0], Y[:, 1], alpha=0.2, label='Y')\n",
" plt.legend(frameon=True) \n",
" plt.xlabel(method+' Feature 1')\n",
" plt.ylabel(method+' Feature 2')\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### XGBoost classifier:\n",
"\n",
"We perform first a standard scalling. We set the maximum depth to 2 and we average the results over 50 estimators. To avoid overfitting, we set an early-stopping test. We use a learning rate of 0.01. The results are checked via a 5-fold Cross-Validation.\n",
"The routine will output the mean train and mean test score at the end."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def classify(X_train):\n",
" train_score = []\n",
" test_score = []\n",
" X_train=StandardScaler().fit_transform(X_train)\n",
" kfold = StratifiedKFold(n_splits=5, random_state=2018,shuffle=True)\n",
" rnd = 1211\n",
" clf_XGB = XGBClassifier(n_estimators = 50,max_depth=2,objective= 'binary:logistic',seed=rnd,learning_rate=0.01)\n",
" for (t,v) in kfold.split(X_train,labels):\n",
" clf_XGB.fit(X_train[t],labels[t], early_stopping_rounds=50, eval_set=[(X_train[v],labels[v])], verbose=False)\n",
" train_score.append(accuracy_score(labels[t],clf_XGB.predict(X_train[t])))\n",
" test_score.append(accuracy_score(labels[v],clf_XGB.predict(X_train[v]))) \n",
" train_score = np.array(train_score)\n",
" test_score = np.array(test_score)\n",
" return train_score.mean(),test_score.mean()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generate random data with 2 features for 2 classes X and Y with 200 instances for each class."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rng = np.random.RandomState(1)\n",
"nsample = 1000\n",
"shift = 1.0\n",
"X = np.empty((nsample,2))\n",
"rnd = rng.randn(1, nsample)\n",
"X[:,0] = rnd - rnd.min()\n",
"X[:,1] = 0.2*X[:,0]**2 + 0.3*rng.randn(1, nsample)\n",
"Y = np.empty((nsample,2))\n",
"rnd = rng.randn(1, nsample)\n",
"Y[:,0] = rnd - rnd.min()\n",
"Y[:,1] = 0.2*Y[:,0]**2 + 0.3*rng.randn(1, nsample)+shift\n",
"Z = np.concatenate((X,Y))\n",
"df_Z=pd.DataFrame(Z)\n",
"labels = np.concatenate((np.full(nsample,0),np.full(nsample,1)))\n",
"sb.pairplot(df_Z)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Spearman's rank correlation\n",
"\n",
"finsd the R correlation between variable-pairs of ordinal data types. Varibale-pairs are thena ble to be ranked according to the strength of the correlation between them. The assumptions are\n",
"- variables are ordinal\n",
"- variables are related non linearly\n",
"- data are non-normally distributed\n",
"\n",
"The meanings for R are:\n",
"- R tends to 1 strongly correlated\n",
"- R = 0 no correlated\n",
"- R tends to -1 strongly anti-correlated"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Spearman rank coefficient is 0.876\n"
]
}
],
"source": [
"spearmanr_coefficient, p_value = spearmanr(Z)\n",
"print 'Spearman rank coefficient is %0.3f' % spearmanr_coefficient"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The R value is closed to one. The two features are highly correlated.\n",
"The two classes overlap. One can plot the distribution of each class."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Chi square statistic 3996000.000 p_value 0.240\n"
]
}
],
"source": [
"table = pd.crosstab(Z[:,0],Z[:,1])\n",
"chi2, p, dof, expected = chi2_contingency(table.values)\n",
"print 'Chi square statistic %0.3f p_value %0.3f' % (chi2,p)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"p > 0.05 means 95% confidence.\n",
"We can test if the second feature follows a normal-distribution. We can also use the Anderson-Darling test. First the first feature"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"AndersonResult(statistic=0.28671002178043636, critical_values=array([ 0.575, 0.655, 0.785, 0.916, 1.09 ]), significance_level=array([ 15. , 10. , 5. , 2.5, 1. ]))"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"anderson(Z[:,0], dist='norm')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"OK. The first feature is normaly-distrbution at 95% (p_value=0.286 < 0.785). For the second feature,"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"AndersonResult(statistic=10.177921841909438, critical_values=array([ 0.575, 0.655, 0.785, 0.916, 1.09 ]), significance_level=array([ 15. , 10. , 5. , 2.5, 1. ]))"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"anderson(Z[:,1], dist='norm')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The second feature is definitively not normally-distributed."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"W: 0.99896478653\n",
"p-value: 0.300838619471\n"
]
}
],
"source": [
"from scipy.stats import shapiro\n",
"# The Shapiro-Wilk test tests the null hypothesis \n",
"# that the data was drawn from a normal distribution.\n",
"# For N > 5000 the W test statistic is accurate but the p-value may not be.\n",
"# The chance of rejecting the null hypothesis when it is true \n",
"# is close to 5% regardless of sample size.\n",
"# alpha = 0.05 (95% confidence intervall)\n",
"W, p_SW = shapiro(Z[:,0])\n",
"print \"W:\",W\n",
"print \"p-value:\",p_SW # check that p>0.05 for normal distribution"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"W: 0.969690740108\n",
"p-value: 4.04899384537e-20\n"
]
}
],
"source": [
"W, p_SW = shapiro(Z[:,1])\n",
"print \"W:\",W\n",
"print \"p-value:\",p_SW # check that p>0.05 for normal distribution"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The second feature is skewed (by construction) and the test confirms it (p-value<< 0.05)."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"scrolled": true
},
"outputs": [],
"source": [
"def plot_histogram(X,Y):\n",
" plt.subplots(figsize=(12, 5))\n",
" plt.subplot(121)\n",
" plt.hist(X[:,0],alpha=0.3,label='X')\n",
" plt.hist(Y[:,0],alpha=0.3,label='Y')\n",
" plt.title('Feature 1')\n",
" plt.subplot(122)\n",
" plt.hist(X[:,1],alpha=0.3,label='X')\n",
" plt.hist(Y[:,1],alpha=0.3,label='Y')\n",
" plt.legend(loc='upper right', fancybox=True, fontsize=8)\n",
" plt.title('Feature 2')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ks_2sampResult(statistic=0.043000000000000038, pvalue=0.3072049308557448)\n",
"Ks_2sampResult(statistic=0.313, pvalue=1.8919888695307484e-43)\n"
]
},
{
"data": {
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Wx6QQptdWnajOer8ysK/bJR1T5M8cFLu+ItcmSeqOBWeBiIhh4AHgE5n5uYj442lvrwT2AwcayzPXzzIyMtJ0kZVKpaX9uqXI9R2rbXAnAHvn/rH0TK22h6GhYn5ZcFxtZw/Pen9kZHWXK3pRkT9zUOz6llLb6Ohom6uRJPXCvEMgImI1sB24MTPvaaz+dkSsbyxfDuwAHgEui4jBiDgXGMzMWodqliRJklq2UA/wTcDLgJsjYmos8PXARyPiFKACbM3MoxGxA3iUeqje0KmCJUmSpKVYaAzw9dQD70zr5th2M7C5LVVJkiRJHeKDMCRJklQqBmBJkiSVigFYkiRJpWIAliRJUqkYgCVJklQqBmBJkiSVigFYkiRJpWIAliRJUqkYgCVJklQqCz0KWZK0jETEycA9wHnAqcAW4EngXmASeALYkJkTEXELcAUwDmzMzMd6UbMkdZs9wJLUX64C9mbmxcBbgI8BtwGbGusGgCsj4nzqj7VfC7wD+HiP6pWkrrMHWJL6yxeBrY3lAeq9u2uArzbWbQN+Hkhge2ZOAs9ExIqIWJWZe2YesFKpdL7qhrGxsabOV911uIPVzLBv1v+aeY2PH6VWa24fgCoHm96nGYcmmvt5NvszKTKvpZh6cS0GYEnqI5l5CCAiVlIPwpuAjzSCLsBB4EzgDGDvtF2n1s9KbCMjI50s+TiVSqWp8+2efK6D1RxvaHBVU9vXansYGmpuH4Dh4bOa3qc5O5vaurq3yvDw8OJ3iMubK6eLmv18FZnXsrDR0dETvucQCEnqMxExDHwZuC8zPwdMTHt7JbAfONBYnrlekvqePcCS1EciYjWwHfidzPybxupvR8T6zPwKcDn1cPw94I8j4iPAOcBgZtZ6UbOO93i1e/8OeU3He5ulYjIAS1J/uQl4GXBzRNzcWHc98NGIOAWoAFsz82hE7AAepf5t4IaeVCtJPWAAlqQ+kpnXUw+8M62bY9vNwOYOlyRJheMYYEmSJJWKAViSJEmlYgCWJElSqRiAJUmSVCoGYEmSJJWKAViSJEmlYgCWJElSqRiAJUmSVCoGYEmSJJWKAViSJEmlYgCWJElSqRiAJUmSVCoGYEmSJJWKAViSJEmlYgCWJElSqRiAJUmSVCoGYEmSJJWKAViSJEmlYgCWJElSqRiAJUmSVCoGYEmSJJXKisVsFBFrgQ9n5vqIeC3wIPDdxtt3ZubnI+IW4ApgHNiYmY91pGJJkiRpCRYMwBFxA3A1cLixag1wW2beOm2b84F1wFpgGLgfeF3bq5UkSZKWaDFDIJ4G3j7t9Rrgioj4WkR8OiJWAhcB2zNzMjOfAVZExKoO1CtJkiQtyYI9wJl5f0ScN23VY8DdmTkaEe8DbgH2A3unbXMQOBPYM/N4lUql6SLHxsZa2q9bilzfVG2n764CUKuN9bii442PH6VWm/UxKYTptVUnqrPerwzs63ZJxxT5MwfFrq/ItUmSumNRY4BneCAz908tA3cAXwJWTttmJfVQPMvIyEjTJ6xUKi3t1y1Fru9YbYM7Adg794+lZ2q1PQwNFfPLguNqO3t41vsjI6u7XNGLivyZg2LXt5TaRkdH21yNJKkXWpkF4qGIeH1j+U3AKPAIcFlEDEbEucBgZtbaVaQkSZLULq30AP82cEdEHAG+D1yXmQciYgfwKPVQvaGNNUqSJElts6gAnJk7gQsay98CLpxjm83A5vaVJkmSJLWfD8KQJElSqRiAJUmSVCoGYEmSJJWKAViSJEml0sosEJKkgouItcCHM3N9RLwWeBD4buPtOzPz8xFxC3AFMA5szMzHelSuJHWVAViS+kxE3ABcDRxurFoD3JaZt07b5nxgHbAWGAbuB17X5VIlqSccAiFJ/edp4O3TXq8BroiIr0XEpyNiJXARsD0zJzPzGWBFRBTzsYyS1Gb2AEtSn8nM+yPivGmrHgPuzszRiHgfcAv1x9XvnbbNQeBMYM/M41UqlQ5We7yxsbGmzlfddXjhjdpl36z/NfMaHz9KrdbcPt1W5eCC27xw5AjVanXRxzw00b3PS7Oa/XwVmdeyNAZgSep/D2Tm/qll4A7gS8DKaduspB6KZxkZGelsddNUKpWmzrd78rkOVnO8ocHmOshrtT0MDRW7U314+KwFt6lWqwwPDy/+oNG9z0uzmv18FZnXsrDR0dETvucQCEnqfw9FxOsby28CRoFHgMsiYjAizgUGM7PWswolqYvsAZak/vfbwB0RcQT4PnBdZh6IiB3Ao9Q7Qzb0skBJ6iYDsCT1oczcCVzQWP4WcOEc22wGNnezLkkqAodASJIkqVQMwJIkSSoVA7AkSZJKxQAsSZKkUjEAS5IkqVQMwJIkSSoVA7AkSZJKxQAsSZKkUjEAS5IkqVQMwJIkSSoVH4XcS7mt46c4fXcVBnd2/DySJEnLhT3AkiRJKhUDsCRJkkrFACxJkqRSMQBLkiSpVAzAkiRJKhUDsCRJkkrFACxJkqRSMQBLkiSpVAzAkiRJKhUDsCRJkkrFACxJkqRSWdHrAqTlYOjZh2evPOmszpwsLu/McSVJEmAPsCRJkkrGACxJkqRSWdQQiIhYC3w4M9dHxKuAe4FJ4AlgQ2ZORMQtwBXAOLAxMx/rUM195fHq/o4ev1YbYy+dPYckSdJysmAPcETcANwNvKSx6jZgU2ZeDAwAV0bE+cA6YC3wDuDjnSlXkiRJWprFDIF4Gnj7tNdrgK82lrcBlwIXAdszczIznwFWRMSqtlYqSZIktcGCQyAy8/6IOG/aqoHMnGwsHwTOBM4A9k7bZmr9npnHq1QqTRc5NjbW0n7d0mp9p++uUquNdaCiF42PH6VWm/VjKIwi17dQbVUOduS8hyYW/iz16+9ENxS5NklSd7QyDdrEtOWVwH7gQGN55vpZRkZGmj5hpVJpab9uabm+wZ0dH59bq+1haKi4nfFFrm+h2oaHOzUN2sKfpb79neiCpdQ2Ojra5mokSb3QyiwQ346I9Y3ly4EdwCPAZRExGBHnAoOZWWtTjZIkSVLbtNID/AfAXRFxClABtmbm0YjYATxKPVRvaGONkiRJUtssKgBn5k7ggsbyU9RnfJi5zWZgc/tKkyRJktrPRyFLUh9y/nZJOjGfBCdJfcb52yVpfgZgSeo/zt8uSfNwCIQk9ZkizN/eqmbnaa7uOtzBambY19yc5UWe53zKYuYzf+HIEarV6qKPuZi5zHuln+YB91qWxgAstejxamfmcK4dfW7O9Ze+enVHzqdS6Pr87a1qdp7m3ZNz/750wtBgcx3kRZ7nfMpi5jOvVqsMDw8v/qCLmMu8V4o8R3mzvJaFzTd3u0MgJKn/OX+7JE1jD7Ak9T/nb5ekaQzAktSHnL9dkk7MIRCSJEkqFQOwJEmSSsUALEmSpFIxAEuSJKlUDMCSJEkqFQOwJEmSSsUALEmSpFIxAEuSJKlUfBCGJElqn9zW+XPE5Z0/h/qaAViStOwNPftwr0uQtIw4BEKSJEmlYgCWJElSqRiAJUmSVCoGYEmSJJWKAViSJEml4iwQkiSV1OPV/QtuU6uNsZeFt5vPa4bPWtL+UrvZAyxJkqRSMQBLkiSpVAzAkiRJKhUDsCRJkkrFm+AkSW31108+1/K+1V2H2T3Z+v6StBj2AEuSJKlUDMCSJEkqFQOwJEmSSsUALEmSpFIxAEuSJKlUDMCSJEkqFQOwJEmSSsUALEmSpFJp+UEYEfEt4EDj5T8CnwL+FBgHtmfmB5ZeniRJktReLQXgiHgJMJCZ66etexz4ZeAfgP8REa/NzG+3pUpJkiSpTVrtAf5Z4LSI2N44xmbg1Mx8GiAiHgIuBQzAkiRJKpRWA/DzwEeAu4F/BWwD9k97/yDwo3PtWKlUmj7Z2NhYS/t1S6v1nb67Sq021oGKXjQ+fpRabU9Hz7EURa6vV7VVJ6pzrq8M7Du23K+/E91Q5NokSd3RagB+CvheZk4CT0XED4Afnvb+So4PxMeMjIw0fbJKpdLSft3Scn2DO9k79/+mtqnV9jA0tKqj51iKItfXs9rOHp5z9cjI6mPLffs70QVLqW10dLTN1XSP921I0otaDcDXAD8NvDsizgZOAw5HxI9RHwN8GWBjKkkF4H0bknS8VgPwp4F7I+JvgUnqgXgC+DPgJOq9Cd9oT4mSpCXyvg1JmqalAJyZLwD/YY63LlhaOZKkDmj5vg1o/t6N6q7DzVfYcOSFI1R3zT0Ofl77incvQZHvcWhGO66jysE2VVN3aKK1cfz9dA+A17I0Lc8DLElaNlq+bwOav3dj9+RzrdQIQHVXleFz5h4HP5+hweLdS1Dkexya0Y7rGB4+q03VNERr4/iLfH9Cs7yWhc1334ZPgpOk/ncNcCvAzPs2ImKA+n0bO3pYnyR1lT3AktT/vG9DkqYxAEtSn/O+DUk6nkMgJEmSVCoGYEmSJJWKAViSJEml4hjgmXIbj1ebezxxrbaHf979eIcKkiRJUjvZAyxJkqRSMQBLkiSpVAzAkiRJKhUDsCRJkkrFACxJkqRScRYISZLUUc3OrrSQ2tHnTvjepa9e3dZzqT/ZAyxJkqRSsQdYKpihZx+e+42Tzjq2ePruKgzuXPrJ4vKlH0OSpGXGHmBJkiSVigFYkiRJpeIQCEmStKyccKgYHDdcbKamho85RKyvGYClZWL6XdS12hh7Wfpd1d5JLUkqI4dASJIkqVQMwJIkSSoVA7AkSZJKxQAsSZKkUjEAS5IkqVQMwJIkSSoVA7AkSZJKxQAsSZKkUjEAS5IkqVQMwJIkSSoVA7AkSZJKZUWvC1iMr1cPs3vyua6ca+jZ/V05jyRJknpjWQRgSZKkrsptnT9HXN75c2hODoGQJElSqRiAJUmSVCoOgZAkSX3j8eqJ7+Wp1cbYS3vu9XnN8FltOY56Y1kE4OF9f8fQ4KpelyH1naFnHz7xmye13rifvrsKgzuPX+lYN0lSQbQ1AEfEIPAJ4GeBfwauzczvtfMckqT2sM2WVFbt7gH+ReAlmfmGiLgAuBW4ss3nkLQczXNH9XxfWbaidvYbT/hedddhRkbaerrlzDZb6nedns1imX671+4AfBHwPwEy8+sR8a/bfHxJXbKUUNrOcXbqKNtsqUVt+Yd79b+3vGuttod/3v340mtYqhavYfoY6jmHzU3XgZA9MDk52baDRcTdwP2Z9X9uRMQzwI9m5jjA6Oho+04mST2wZs2agV7X0C4Ltdlguy1peTtRm93uHuADwMpprwenN6T99IdDkvrAvG022G5L6k/tngf4EeAXABrjyf53m48vSWof22xJpdTuHuAHgDdHxN8BA8BvtPn4kqT2sc2WVEptHQPcbsthip6IWAt8ODPX97qW6SLiZOAe4DzgVGBLZv5lT4tqiIiTgLuAACaBd2XmE72t6ngR8SPAKPDmzPz7XtczXUR8i/pX1wD/mJmFCS0R8YfAvwVOAT6RmZ/ucUnHRMSvA7/eePkS4DXAyzPTu/V6bDm09YtV5La3VUVuD5tR5PZpsRqfr89S/3wdBf7jcvyZTM9OEfEq4F7qeeAJYENmTnS6hqI/CvnYFD3Ae6lP0VMYEXEDcDf1P6ZFcxWwNzMvBt4CfKzH9Uz3NoDMvBDYBHyot+Ucr9HAfAr4f72uZaaIeAkwkJnrG/8VKfyuB34OuBBYBwz3tKAZMvPeqf9v1P+Y/67htzAK3dY3qchtb9OK3B42o+jtUxN+AViRmT8HfJCC/f1cjDmy023ApsbvzABdmoqx6AH4uCl6gKJN0fM08PZeF3ECXwRubiwPAOPzbNtVmfkXwHWNl6+Ews2X9RHgk8CzvS5kDj8LnBYR2yPi4ca4zaK4jPoY0geAvwIe7G05c2tM9fWTmflfel2Ljil6W9+Mwra9LSpye9iMZdE+LcJTwIrGtyZnAEd6XE8rZmanNcBXG8vbgEu7UUTRA/AZwA+mvT4aEYV5fHNm3k9BP3yZeSgzD0bESmAr9Z7WwsjM8Yj4LHAH8Ge9rmdK42vyPZn5UK9rOYHnqf9Bugx4F/BnBfqdGKIeXP4dL9ZWxBkEbgI+0OsidJxCt/XNKHrb24xl0B42Y7m0Tws5RH34w99TH0r40Z5W04I5stNAZk6Nxz0InNlPdBxGAAAB2klEQVSNOooegBecokcnFhHDwJeB+zLzc72uZ6bM/DXgx4G7IuKlva6n4RrqNwV9hfoY0f8aES/vbUnHeQr4b5k5mZlPAXuBV/S4pil7gYcy84XMTGAMWNXjmo4TEWcBkZlf7nUtOk5ftfVFb3ubUPT2sBmFb58W6feoX8ePU/9G8LONoXHL2fTxvivp0rfCRf8X9iPUx4t+wSl6mhMRq4HtwO9k5t/0up7pIuJq4JzM/CPqPZoTHP8L0DOZecnUcqPRf1dmfr93Fc1yDfDTwLsj4mzqPWf/1NuSjvlb4PqIuI16KH8p9T86RXIJUKjfBwF91NYXue1t1jJoD5uxHNqnxfi/vNh7ug84GTipd+W0xbcjYn1mfgW4nPo/Hjuu6AHYKXpadxPwMuDmiJgaj3Z5ZhbhRoY/Bz4TEV+j/su7sSB1LQefBu6NiL+lfsfsNUXpKcvMByPiEuAx6t8ubcjMoz0ua6YA/qHXRWiWfmrri9z2ltYyaZ8W43bgnojYQX02i5sy83CPa1qqP6D+TfApQIX60KGOK/Q0aJIkSVK7FX0MsCRJktRWBmBJkiSVigFYkiRJpWIAliRJUqkYgCVJklQqBmBJkiSVigFYkiRJpWIAliRJUqn8fwA1JdcK4gIvAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_histogram(X,Y)\n",
"print ks_2samp(X[:,0],Y[:,0])\n",
"print ks_2samp(X[:,1],Y[:,1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are significant overlaps in the feature value distrbution for both classes.\n",
"\n",
"Feature engineering linearization: first shift to a minimum value of 1, then take the log10. The transformation is monotonic. It does not change the order.$$\\log(X-\\min(Z)+1)$$\n",
"$$\\log(Y-\\min(Z)+1)$$\n",
"What we have perform is a so-called Box-Cox transform of the data with first a shift to obtain positive data followed by a transform with $\\lambda$ = 0."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"Xl = np.empty((nsample,2))\n",
"Xl[:,0]= X[:,0]\n",
"Xl[:,1] = np.log(X[:,1]-Z[:,1].min()+1.)\n",
"Yl = np.empty((nsample,2))\n",
"Yl[:,0]= Y[:,0]\n",
"Yl[:,1] = np.log(Y[:,1]-Z[:,1].min()+1.)\n",
"Zl = np.concatenate((Xl,Yl)) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can test if the two distributions are statistically distinct. The null-hypothesis is that the two samples are drawn from the same distribution with alpha = 0.05 (95%) to be compared to the p-value. We then can plot the histogram."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ks_2sampResult(statistic=0.043000000000000038, pvalue=0.3072049308557448)\n",
"Ks_2sampResult(statistic=0.313, pvalue=1.8919888695307484e-43)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print ks_2samp(Xl[:,0],Yl[:,0])\n",
"print ks_2samp(Xl[:,1],Yl[:,1])\n",
"plot_histogram(Xl,Yl)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The linearization has increased the separation in the distribution for Feature 2. That was the intention.\n",
"We can compare to the use of the scipy Box-Cox transform with the log transform.\n",
"Box-Cox and other power transforms aim at make the data more normaly distributed. Instead here we aim quasi the contrary: we wish to separate the blended distributions of the two classes to ease further classification."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"lambda from Box-Cox: 0.286845271573\n",
"AndersonResult(statistic=0.32573840510713126, critical_values=array([ 0.575, 0.655, 0.785, 0.916, 1.09 ]), significance_level=array([ 15. , 10. , 5. , 2.5, 1. ]))\n",
"Ks_2sampResult(statistic=0.043000000000000038, pvalue=0.3072049308557448)\n",
"Ks_2sampResult(statistic=0.313, pvalue=1.8919888695307484e-43)\n"
]
},
{
"data": {
"image/png": 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8kiRJ0rLM2wUiM/cDRMRKYBOwHrglMydaT9kHnAGcDuyesurk/F3Tt1mr1ZYccnx8vK31eqXM+SaznbazDjTHTSyTQ4cO02jMeJuUwtRs9SP1GctrK/b0OtJRZX7PQbnzlTmbJKk3FhwFIiJGgAeBOzLzkxHx/imLVwJ7gWdb09PnzzA6OrrkkLVara31eqXM+Y5mG9oOsOCg4b3WaOxieLicXxYcl23NyIzlo6Ore5zomDK/56Dc+ZaTbWxsrMNpJElFmLcLRESsBrYAN2Tmva3ZX4+Ii1rTlwFbgW3ApRExFBFnA0OZ2ehSZkmSJKltC7UA3wi8CLgpIib7Al8HfDAiXgDUgE2ZeTgitgKP0Cyqr+1WYEmSJGk5FuoDfB3Ngne6C2d57gZgQ0dSSZIkSV3ijTAkSZJUKRbAkiRJqhQLYEmSJFWKBbAkSZIqxQJYkiRJlWIBLEmSpEqxAJYkSVKlWABLkiSpUiyAJUmSVCkWwJIkSaoUC2BJkiRVigWwJEmSKsUCWJIkSZViASxJkqRKsQCWJElSpVgAS5IkqVIsgCVJklQpFsCSJEmqFAtgSZIkVYoFsCRJkirFAliSJEmVYgEsSZKkSrEAliRJUqVYAEuSJKlSLIAlSZJUKRbAkiRJqpQTiw4gSeq8iFgHvC8zL4qIVwCfB/6htfjOzPxURNwMXA4cAq7PzEcLiitJPWUBLEkDJiLeCVwFHGjNWgvclpm3TnnOucCFwDpgBHgAeGWPo0pSIewCIUmD51vAz095vBa4PCL+OiLuiYiVwHnAlsycyMyngBMjYlURYSWp12wBlqQBk5kPRMQ5U2Y9CtydmWMR8S7gZmAvsHvKc/YBZwC7pm+vVqstaf/j4+NLXqdXyppttlz1HQfmeHaH7Znxkh916NBhGo25lxdpMdnq7Jt3+f4jnX8v9NN7rCyKyGYBLEmD78HM3Ds5DXwI+CywcspzVtIsimcYHR1d0s5qtdqS1+mVsmabLdfOiWd6su/hobkb/huNXQwPl/OLgcVkGxk5c/6NROffC/30HiuLbmUbGxubc5ldICRp8D0UEa9qTf80MAZsAy6NiKGIOBsYysxGYQklqYdsAZakwfdrwIci4iDwbeBtmflsRGwFHqHZGHJtkQElqZcsgCVpAGXmduDVremvAa+d5TkbgA29zCVJZWAXCEmSJFWKBbAkSZIqxQJYkiRJlWIBLEmSpEpZ1I/gvKe8JEmSBsWCBbD3lJckSdIgWUwXCO8pL0mSpIGxYAtw0feUh3LfvxrKnW8y22k76wA0GuMFJzpev9xnvn6kPmN5bcWeXkc6qszvOSh3vjJnkyT1Rjs3wujpPeWh3PevhnLnO5ptaDsAu2d/WQrTN/eZXzMyY/no6OoeJzqmzO85KHe+5WSb777ykqT+0c4oEN5TXpIkSX2rnRZg7ykvSZKkvrWoAth7ykuSJGlQtNMCLElSJX3hiWe6st36jgPsnOjOtiXN5J3gJEmSVCkWwJIkSaoUC2BJkiRVigWwJEmSKsUCWJIkSZViASxJkqRKsQCWJElSpVgAS5IkqVK8EYYkSaqm3NyFjZ7ThW2q02wBliRJUqVYAEuSJKlSLIAlSZJUKRbAkiRJqhQLYEmSJFWKBbAkSZIqxQJYkiRJlWIBLEmSpEqxAJYkSVKlWABLkiSpUiyAJUmSVCkWwJIkSaqUE4sOUGm5ueu7OG1nHYa2d30/kiRJ/cIWYEmSJFWKBbAkSZIqxQJYkiRJlWIBLEmSpEqxAJYkSVKlWABLkiSpUhwGTZIGUESsA96XmRdFxA8C9wETwOPAtZl5JCJuBi4HDgHXZ+ajhQWWpB6yBViSBkxEvBO4G3hha9ZtwPrMPB9YAVwREecCFwLrgDcDHykiqyQVwQJYkgbPt4Cfn/J4LfCl1vRm4BLgPGBLZk5k5lPAiRGxqrcxJakYdoGQpAGTmQ9ExDlTZq3IzInW9D7gDOB0YPeU50zO3zV9e7VabUn7Hx8fX/I6vbLcbPUdBzqY5piDzx+kvqPelW0vaM+Ml/yoQ4cO02jMvbxIi8lWZ1+P0hwz/j0vKeX7f5A/l+2wAJakwXdkyvRKYC/wbGt6+vwZRkdHl7SzWq225HV6ZbnZdk4808E0x9R31Bk5a6Qr217I8NDcDf+Nxi6Gh8v5xcBiso2MnNmjNMfsP/LCUr7/B/lzOZexsbE5l1kAS4sw/PTDM2ee0KUTa1zWne2qyr4eERdl5l8BlwFfBL4JvD8ibgHOAoYys1FgRknqGQtgSRp8vw3cFREvAGrApsw8HBFbgUdo/h7k2iIDSlIvWQBL0gDKzO3Aq1vTT9Ic8WH6czYAG3qZS5LKYFEFsONJds9j9Vm73HVMozHO7tm79UmSJFXSgsOgOZ6kJEmSBslixgF2PElJkiQNjAW7QBQ9niSUe+w6aD/faTvrNBrjXUh0TJnHcIRy51soW7fGl9x/ZOH30qB+JnqhzNkkSb3Rzo/gejqeJJR77DpYRr6h7V3vn1vmMRyh3PkWyta18SVj4ffSwH4memA52eYbU1KS1D/auRXy1yPiotb0ZcBWYBtwaUQMRcTZOJ6kJEmSSqqdFmDHk5QkSVLfWlQB7HiSkiRJGhTeCEOSpD4x623ZJS1ZO32AJUmSpL5lASxJkqRKsQuEJEkaSI/VuzvU6FQv79bQmOoKC2CpTd06sTYOPzPr/Etetror+5MkqWrsAiFJkqRKsQCWJElSpVgAS5IkqVIsgCVJklQpFsCSJEmqFAtgSZIkVYoFsCRJkirFAliSJEmVYgEsSZKkSrEAliRJUqVYAEuSJKlSLIAlSZJUKRbAkiRJqhQLYEmSJFWKBbAkSZIqxQJYkiRJlWIBLEmSpEqxAJYkSVKlWABLkiSpUiyAJUmSVCkWwJIkSaoUC2BJkiRVigWwJEmSKsUCWJIkSZViASxJkqRKsQCWJElSpVgAS5IkqVIsgCVJklQpJxYdQJLUfRHxNeDZ1sN/Aj4GfAA4BGzJzPcUlU2Ses0CWJIGXES8EFiRmRdNmfcY8CbgH4G/iIhXZObXC4ooDYzTdm6Foe2d33Bc1vltVpgFsCQNvp8ETomILTTP+xuAkzPzWwAR8RBwCWABLKkSLIAlafA9B9wC3A38ELAZ2Dtl+T7g++dauVarLWln4+PjS16nV5abrb7jQAfTHHPw+YPUd9QXfuKeXV3Z/1wOHTpMo9HbfS5W2bLV2QfA8wcPUq8v4rVcov1HlveZGuTPZTvaLoDtTyZJfeNJ4JuZOQE8GRHfAV48ZflKji+IjzM6OrqkndVqtSWv0yvLzbZz4pkOpjmmvqPOyFkjCz5veGhVV/Y/l0ZjF8PDvd3nYpUt28jImQDU63VGRhZ+LZcslveZGuTP5VzGxsbmXNZWAWx/MknqK1cDPw68IyLWAKcAByLiB2iesy8FbLSQVBnttgDbn0yS+sc9wH0R8WVggmZBfAT4E+AEmt/a/W2B+SSpp9otgNvuT9ZOH48y91uB9vOdtrNOozHehUTHlK2P1HRlzldUtvqR2fuO1VbsOTo9qJ+JXihztm7JzOeBX5xl0at7nUWSyqDdArjt/mTt9PEoc78VWEa+oe3snrvbXUeUrY/UdGXOV1i2NbP3HRsdXX10emA/Ez2wnGzz9SeTJPWPdu8EdzVwK8D0/mQRsYJmf7KtnYkoSZIkdU67LcD2J5MkSVJfaqsAtj+ZJEmS+lW7XSAkSZKkvmQBLEmSpEqxAJYkSVKltH0rZEmSivaFJ5Z2a+L6jgNdu52xpP5hC7AkSZIqxQJYkiRJlWIBLEmSpEqxD/B0uZnH6ku7PXGjsYvv7nysS4EkSZLUSbYAS5IkqVIsgCVJklQpFsCSJEmqFAtgSZIkVYoFsCRJkirFAliSJEmV4jBokiRJyzQ5hGqjMc5uljac6mI0Dh+7hfclL1vd8e1XjQWwVDLDTz88+4ITzjw6edrOOgxtX/7O4rLlb0OSpD5jFwhJkiRVigWwJEmSKsUuEJIkddicXZnmsmcXw0OruhNG0gwWwFKfmPyBBXTuRxZTf1QxnT+ykCQNKrtASJIkqVIsgCVJklQpFsCSJEmqFAtgSZIkVYoFsCRJkirFAliSJEmVYgEsSZKkSnEcYEmSpJI77uYqJ5y55PVP21mHoe3Hz4zLlheqj9kCLEmSpEqxAJYkSVKlWABLkiSpUvqiD/BX6gfYOfFMT/Y1/PTenuxHkiRJxbAFWJIkSZViASxJkqRK6YsuEJKk/tHLbmuS1A5bgCVJklQpfdECPLLnbxgeWlV0DGngHDew+nRtDLQ+yQHXJakP5ObOb7NPzvUdLYAjYgi4A/hJ4LvAWzPzm53chySpMzxnS6qqTrcA/yzwwsx8TUS8GrgVuKLD+5DUj+ZpaXis3tnhBxtrLp5zWX3HAUZHO7q7fuY5W+pD7ZwzG41xdtP9oV4bh5fe/7++o/m7gUtetroLiWbX6QL4POB/AmTmVyLipzq8fUk9spyitFcnWi2b52xJHTVv17q57NnV7Oo6V9e7LnSrWDExMdGxjUXE3cADmc2mnoh4Cvj+zDwEMDY21rmdSVIB1q5du6LoDJ2y0DkbPG9L6m9znbM73QL8LLByyuOhqSfSQbpwSNIAmPecDZ63JQ2mTg+Dtg34GYBWf7L/0+HtS5I6x3O2pErqdAvwg8DrIuJvgBXAr3R4+5KkzvGcLamSOtoHuNP6YYieiFgHvC8zLyo6y1QRcRJwL3AOcDKwMTM/V2iolog4AbgLCGACeHtmPl5squNFxPcCY8DrMvPvi84zVUR8jeZX1wD/lJmlKVoi4veAfwu8ALgjM+8pONJREfHLwC+3Hr4QeDnwksz013ptWugcHRH/EbgGOETzHPT5kuT6AM0fAO5rzboiM7/Ti2yt/c963YiINwLvpnm87s3Mu3qVaRHZfhN4K7CrNeuazMwe5Jn3WlbkMVtEtqKO2bzX2KKO2SJy9fR4lf1GGKUeoici3glcBRwoOsssrgR2Z+ZVEfFi4DGgFAUw8EaAzHxtRFwE/D7lel1PAj4G/L+is0wXES8EVpTtP1wArdfyXwGvBU4BfqfQQNNk5n3AfQAR8RGaJ36L3+WZ8xwdES8BfgP4KZr/4fhyRPyvzPxukbla1gKXZmajB1mOM9d1o3XeuR14ZWvZtoj4XGb27J7SC1zT1gJvycyxXuVpmfNaVoJjttB1tqhjNuc1tuBjttC1v6fHq+y3Qj5uiB6aJ9Iy+Rbw80WHmMNngJta0yto/k+vFDLzz4C3tR5+H5RuvKxbgI8CTxcdZBY/CZwSEVsi4uHWxb0sLqXZh/RB4M+BnrT2LVVrqK8fzcw/KjrLAJjvHP0qYFtmfrfVuvpN4CeKztVqHf4h4I8iYltEXN2jTJPmum6MAt/MzP+bmc8DXwYu6Gmy+a9pa4Hfi4gvt77p6ZX5rmVFH7OFrrOFHLMFrrGFHbNFXPt7erzKXgCfDkz9WupwRJSm1TozHwAOFp1jNpm5PzP3RcRKYBOwvuhMU2XmoYj4BPAh4E+KzjOp9TX5rsx8qOgsc3iOZoF+KfB24E9K9JkYpllo/DuOZSvjCAI3Au8pOsSAmO8cPX3ZPuCMEuQ6leZ550rg9cA7IqJXhfl8140ijxew4DXtv9P8XF8MnBcRb+hRpvmuZYUes0VcZws5Zq1sc11jiz5m8137e3q8yl4ALzhEj+YWESPAF4H7M/OTReeZLjN/Cfhh4K6IOLXoPC1X0/xR0F/R7CP6x62vcsviSeC/ZeZEZj4J7AZeWnCmSbuBhzLz+Va/rXFgVcGZjhMRZwKRmV8sOsuAmO8cPX3ZSnr3bc98uZ4DPpCZz2XmPuBhmt+sFK3I4zWv1n9k/2tmNlqthn8BvKKH+5/rWlb4MZsrW9HHDOa8xhZ+zGbLVcTxKkvL0Vy20ewz8mmH6FmaiFgNbAF+PTP/sug8U0XEVcBZmfkHNC9GR1r/CpeZR78KahXBb8/MbxeXaIargR+n2Wq1hub/5v+52EhHfRm4LiJuo1mUn0qzKC6TC4BSfR763Hzn6EeB32/1Wz+Z5levvfqx63y5fhj4VES8gmYj0HnAJ3qUaz414IdafUn303yv3lJspKNOBx6PiFGDq9f2AAABH0lEQVSa/UYvpvnjr65b4FpW6DFbIFuRx2y+a2xhx2yBXD0/XmUvgB2ip303Ai8CboqIyT5Kl2VmGX7Y9afAxyPir4GTgOtLkqsf3APcFxFfpvkr2qvL8q1IZn4+Ii6gWfgMAddm5uGCY00XwD8WHWKAzDhHR8Rv0exj+LmI+CCwleb74V2ZOV6SXPcDX6H5df8fZ+bf9SjXDBHxi8BpmflHrYwP0Txe92bmzqJyzZLtRpotnd8F/jIz/0ePYsx2LbsLOLUEx2yhbEUdsxnXWODnIqLo99lCuXp6vEo9DJokSZLUaWXvAyxJkiR1lAWwJEmSKsUCWJIkSZViASxJkqRKsQCWJElSpVgAS5IkqVIsgCVJklQpFsCSJEmqlP8P5bgvHKffeIcAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Zt,lbd = boxcox(Z[:,1]-Z[:,1].min()+1.)\n",
"# the term -Z[:,1].min()+1. ensures that we deal with positive values\n",
"print 'lambda from Box-Cox:',lbd\n",
"Xlbc = np.empty((nsample,2))\n",
"Xlbc[:,0]= X[:,0]\n",
"Xlbc[:,1] = boxcox(X[:,1]-Z[:,1].min()+1.,lmbda=lbd)\n",
"Ylbc = np.empty((nsample,2))\n",
"Ylbc[:,0]= Y[:,0]\n",
"Ylbc[:,1] = boxcox(Y[:,1]-Z[:,1].min()+1.,lmbda=lbd)\n",
"Zlbc = np.concatenate((Xlbc,Ylbc))\n",
"df_Zlbc = pd.DataFrame(Zlbc)\n",
"print anderson(Zlbc[:,1], dist='norm')\n",
"print ks_2samp(Xlbc[:,0],Ylbc[:,0])\n",
"print ks_2samp(Xlbc[:,1],Ylbc[:,1])\n",
"plot_histogram(Xlbc,Ylbc)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"# Johnson 1949 transform\n",
"from scipy.stats import johnsonsu, johnsonsb"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We perform a Principle Component Analysis with 2 components directly on the original data."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"pca = PCA(n_components=2)\n",
"pca.fit(Z)\n",
"Zpca = pca.transform(Z)\n",
"Xpca = pca.transform(X)\n",
"Ypca = pca.transform(Y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We print the variance ratio explained by each component."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Explained variance ratio\n",
"[ 0.94597821 0.05402179]\n",
"Eigenvectors (The sign can be opposite)\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Feature 1 | \n",
" Feature 2 | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 0.567472 | \n",
" 0.823393 | \n",
"
\n",
" \n",
" 1 | \n",
" -0.823393 | \n",
" 0.567472 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Feature 1 Feature 2\n",
"0 0.567472 0.823393\n",
"1 -0.823393 0.567472"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"print \"Explained variance ratio\"\n",
"print pca.explained_variance_ratio_\n",
"print \"Eigenvectors (The sign can be opposite)\"\n",
"comps = pd.DataFrame(pca.components_,columns=['Feature 1','Feature 2'])\n",
"comps"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sb.heatmap(comps)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The first component explained close to 98% of the variance but it is the second component that separate the to classes.\n",
"\n",
"We can also compute the eigenvalues"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Eigenvalues\n",
"2.53171425798\n",
"0.0755043372947\n"
]
}
],
"source": [
"# Compute the eigenvalues\n",
"n_samples = X.shape[0]\n",
"X1 = np.copy(X)\n",
"X1 -= np.mean(X1, axis=0) #center the data and compute the sample covariance matrix.\n",
"cov_matrix = np.dot(X1.T, X1) / n_samples\n",
"print \"Eigenvalues\"\n",
"for eigenvector in pca.components_:\n",
" print(np.dot(eigenvector.T, np.dot(cov_matrix, eigenvector)))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_data(X,Y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The arrows indicate the PCA components, which acts as the new axes (called principal axes). The original data will be reprojected on these axe. The two features are related by a nonlinear relationship. PCA works at best with features that are linearly related. Let's plot the PCA features."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_transformed_data(Xpca,Ypca,'PCA')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There is a residual relationship between PCA feature 1 and PCA feature 2.\n",
"Let's run the PCA on the linearized data."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The PCA vectors now separate the classes. The largest variance still lie with the first feature. Let's see this with the histograms. Notice that the distributions are centered around zero.\n"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ks_2sampResult(statistic=0.19400000000000001, pvalue=5.9263432638452027e-17)\n",
"Ks_2sampResult(statistic=0.78500000000000003, pvalue=4.7794020417221768e-271)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print ks_2samp(Xpca[:,0],Ypca[:,0])\n",
"print ks_2samp(Xpca[:,1],Ypca[:,1])\n",
"plot_histogram(Xpca,Ypca)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We perform the PCA on the linearized data."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ks_2sampResult(statistic=0.056999999999999995, pvalue=0.074847083825206578)\n",
"Ks_2sampResult(statistic=0.87, pvalue=0.0)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pca.fit(Zlbc)\n",
"Zlpca = pca.transform(Zlbc)\n",
"Xlpca = pca.transform(Xlbc)\n",
"Ylpca = pca.transform(Ylbc)\n",
"plot_data(Xlbc,Ylbc)\n",
"plot_transformed_data(Xlpca,Ylpca,'PCA linearized data')\n",
"print ks_2samp(Xlpca[:,0],Ylpca[:,0])\n",
"print ks_2samp(Xlpca[:,1],Ylpca[:,1])\n",
"plot_histogram(Xlpca,Ylpca)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"PCA feature 2 after linearization shows that the class distrbutions are clearly separated. Since to get the best results from the machine learning algorithms as possible, we should only use features that correlate strongly with the output values, here fearure 2. We want to make the \"life\" of the machine learnign as simple as possible. Including useless features can on the other hand harm the accuracy of the system.\n",
"\n",
"### Feature engineering strategies\n",
"- Adding or dropping features: one chooses the features that have the most signal.\n",
"- Combining multiple features into one feature: this is what PCA or FA is doing. The goal is to represent the data in the simplest way as possible.\n",
"- Binning: one replaces an exact numerical measurement with a more broad catagory. For example, ages can be binned into catergories like: infant, adolescent, adult, senior.\n",
"- One-hot encoding: it is a way to represent categorical data as number without creating\n",
"- Avoid the \"curse\" of Dimensionality: as the number of dimensions (or features) in the data increases, the number of data points required to build a good model grows exponentially. One should only include the features that have the most selective/predictive information and exclude those that are not predictive.\n",
"- Domain knowledge/expertise is key in feature engineering."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We run the classifier for different data. First directly on the original data"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"result=[classify(Z)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On the PCA-transformed of the original data"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"result.append(classify(Zpca))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally on the linearized and PCA-transformed data"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"result.append(classify(Zlpca))"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Method | \n",
" CV Train Accuracy | \n",
" CV Test Accuracy | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" original | \n",
" 0.778250 | \n",
" 0.7630 | \n",
"
\n",
" \n",
" 1 | \n",
" PCA | \n",
" 0.919375 | \n",
" 0.9095 | \n",
"
\n",
" \n",
" 2 | \n",
" linearPCA | \n",
" 0.935125 | \n",
" 0.9305 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Method CV Train Accuracy CV Test Accuracy\n",
"0 original 0.778250 0.7630\n",
"1 PCA 0.919375 0.9095\n",
"2 linearPCA 0.935125 0.9305"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"methods = pd.DataFrame(['original','PCA','linearPCA'])\n",
"df=pd.DataFrame(result)\n",
"df2=pd.concat([methods,df],axis='columns')\n",
"df2.columns=['Method','CV Train Accuracy', 'CV Test Accuracy']\n",
"df2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The model train and test accuracy are close to each other and improve as we perform more feature engineering."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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TCKuugXk3lvDyzmNqhNniDeALhulvt/DBkSb+et8NAFRdU0RDo5v5k0qSFjHM/nKxOlhyQnEuy2eUkdd2jVgUIfX6QwmlwEpfBmjPDd957VCyzT3PpSAEtwdzMVOBj/zili5ciaCnoHT++s2d4wmHURvQ+ELRceZPzS7nd+8e5qr87AQBXV3l5JNmD/MnlWA26mn1hXjgxT3kOyw89M3R3LMheRFDvF3s6TnlSe1grb4g2WYjfW1mVtxWxoAcKy5fkHXvHubVPSeZOCyPpdNL+elLeznT4ouW9xp61pf0nrVagUDQKbT6Qsxd3zajbH0tTa1+nt12hKZWPz/82nA8gVBCwcP8jbvQ63Tc8eWhzN+4S229WFN3AnsHRQzxx2xmA6uSOB/c/hAR4NMWH1lmA5FIBG8gxJ3XDuXAw1N5ctY4tSlOT9wwAxHhCgRXHMlmlN23eTdrZpVzz4ZaCnIsrJjpTCqgBX2sEIn+Wdm4im0knqoNY+yx+tOtbN17kjWzynFYjbT6g/iCIf49pr3jshmlmA16zroDPLe3gTuvG8rLO49ryol72oYZiAhXILjiSOVUsFuN5DssVFeMAuCNRV+loqxQPWdCcS4NjW515E5s8/An365n2QytjWv5jDKyzYaEsly7xUD9mVbu2VDLwdMudOj49z/sSigfDkdQfcI2k4HJXyxgmrMwYeJET6JnfTwIBILLRnEqxEejnzR7WHyzxL0bPtREmnodnDrnUzevSvKzWVXpbPPLymofXK8/xNo55dgsRhoa3Szb+k+G9c/mqdnl2K3RY4+8sl+91orXZUoG2NHpSFkgoTgYnpw1jvs272btnPGgo0eW9YIQXIHgiiOVUyEUirD4hcRet2vnjOf4WY+aPzXqdfzgxhLVwdDU6sPlDaoj0Q+daeHaknwev81J/WkXzZ4Ad8d0BQO4/4Xdqp82x2rUfABUlBWy6KYRAGxdeD1Pvl2Pw2pSRViv63lCqyAEVyC4QohtWJNtMbB2TjlZZiOftviwm41YU6QasswGpqx8Rz02oTiXY595mLLyHSrKCnnwlpHc/Wytxsb1u3cPU+EcxJSV7/DRf34jpQ2MSHQq8BPfHsu830d77y6eImlsYctmlPJJs6fNEhbCbu25stVpOVxJkkQ+WCDoJpSeB5L0BVy+4HmbuCgNxWPLdt2BEH/Zd5JgOML31u3g+GeelEUR8WW7/bJNvL34Bv7z38awcFNiqfCcLxczJDeLicPyUk7mbWh0M2LJFu5+tpZQOMJv7hjPw9PGcN/mxHaQZqOeVZVO9Dp6XMOaWC5LJCVJGiZJ0suSJB0DDkmS1CBJ0iuSJI3opPUJBII4NOK5ZAtz1+04b+esWGdC7CTc64bns3hzHfkOC1ajPmHja3WVkw8bmlg7Jzqxd2WlE5vZgMNqAqLNa5JFrzlWE40uP8tnlFIyIJuVcb0Wls0oZcXrBzSWs1AkknLkep7dQn+HhXAEvG1NdpQPnXAkckEfOpnA5cbmzwAPyLK8XTkgSdKXgP8Grr3MawsEgiQks3XN37izfUMpSY/bZM6EghyL2lrxlflfYf6mXapLoWSAnaNNbrLMRorz7Hzq8vHZaR9D+9v51OVniDkqHZ4UG3At3iCb3m9g5tVFtHiD9LdbWDOrHLvVgMcfptnjT1iLjuha31j0VVa8fkBjAWtodDN5xV/VFIOjzQ52T8wGX08YLnm5gmuNFVsAWZb/V5Kky7ysQCBIRSpbl81i4NtrtycVIG8gxBuLvsqQXBst3gB2ixGXL6j2LohtGqMInVGv48AjUynKs/HstiN8q3wIn7n9PPDiHvUej99WxpOzxmmcDUunl7LuvcNMLx+MXkeC62H5Vll1KigsniJpmtnEuiOWzSjlsddkTYrh0VvHAPS44ZKXu7I6SZJ+C7wGNAMO4BvA7stdmEAgSE4qW1dDozupANlMBlp9QY1QLp1eyss7jzFvUgkrK51qo/F8h4V5N5aoEa7XH6LVH+RrIwuIRFDzq8o9/uP5OtbOKdd0Clv+F5lX95zku9cNY+76HUkn/E5Z+Q73vxD9s8WoT7iuagEDlry8R/0QgOQVbMrxTK8+u1zB/QEwDbgOyAHOAX8GXrrM6woEghQks3WtrnLyyCv7NecpAuT2h5jf1gMXUDe2qitGcfqcj11HP+P6EQNYM2scLb6gxiGwqm1+2PyNu/j93GtSRNZGqmv2aT4AJg7LS5mPLRlgVwdOevwhssz6lBG72xfi1Dmf5rFkFWzK8UyvPruslcmyHCEqrkJgBYJuQmlAo0Sv7kBI/fodi2Kj6kj4/uP5XfzfilE0ewJYjXqCoQgb7rqG+tMunnirngUbd/HU7HL+63anmn6Ij6xd3qBaCBEr1GfdgZTnV9fsaz+30sn8SSWseOOg5rxTzV7CkQjLZ5SxeHOdJt2g5HAnDsvTpFAyvfoscz8KBAJBSvR6HXaLkf379zNy5EjC4UjSqDcUDnOqObnwnTjrYeHkERj0Ov644yhV1xQlpB1WvC6TbTHi8Ufnl8W3TlxV5SQQCtPHauSp2eVq8cOm7Q1UXV3E6ion82N6JKyqdLLuvcParmKbdrFmdjnbDjVpcsNGvY6HXvknAI99q5RB/bJw+0Lo9WA1RoV17R3jUw7CzEQySnDbvLy/BsoAH3CXLMv16V2VQJD5aKLeNgHS6+CZdw5xx5eLEyPQSid2q5Fn3jnEvEnD22aEJaYd1s4ZT4s3gFGv44d/2JngYrCbjfzkxT38/JujuHfDhxpR33aoid/cMZ5Hbx3DkFwbJ856yLObWf2m9p/0B0eacFiNPDlrHDlZJty+EBDht38/rOZua+pOMHFYXtvra5ctJX2QyWmEWDJtldOIOh8mttnLHge+meY1CQQZT7Kx5+hgevlgIqAOa4wdgfPd64Zx57VD8QRCKcehZ5kNzHpmh5q/TeZimHdjCTltpbfxz7eaDUxe8Vd1ZM7WhdcnjbZPnvUQCEXIyTLR4g1gsxiouqZIE/Wubssn92QyTXCvI+p4UOxl4+NP2L9/f8KTLhev19sl180kOvP1ZeL7NXLkyLTdO53vhdfr5eixY5gdeSx8ri4mgi3DYTVhNurJsZpY/Wa9Jkdq1Ednlc16Zju/nOkkHI4kFcL60y62HWpUp+jGP+72haiu2ceaWcmbip/zBBLcD2tml7Pu3cPtc84qnfhDER54MXGzTomOjza5Mep1HD9xHFdLi+Y9sDsc2Pvm0cdmpdntxXW2EVdLS8rj3UGq38dME9wcovYyhZAkSUZZloPKga74h6XkwTqfQ11wzUujM19f171fPZN0i32//M8xd92OuLxoHWtml7NxewN3XDu0QzH90XO7WHtHOU/OGsdZd0AVuL42Ey/vPA7AyjcOJORjV1c5afb4yXdYcPuD/H7uNTQ0uln5xgFOnfOxstKJ3RxNFbji3Q+VTuZNKsEXCBOMRMg1G6muGMUTb9VTU3dCnRZxw/K31TUrKYUhgwerx5Squx/8Yadm86xwYCFN7kDC8UGFg9Ka5820/gfniHp5FfSxYisQCLTYHY6UhRAOq5EpbYMe40eOL51eyhNv1avn6tHh9kdH5khLtvDAi3tw+0Pc9MUCIOqA8AfD6rj0R28dQ5bJyOv/OMXimyUWPV/HiAejz3vwlpH85o7xfPhxE1/4P6/h8YcS+iMs2LSLT11+PnX5uXt9LdKSLVTX7GPxzRIVZYUdTouIJVnJ8vyNOzs8nk4yLcJ9F/hX4Pm2HO6eNK9HIMhYwuEIZkdeyq/75zwBSgbYueXNeurPtFJdMYrhBXYaGt1qq0Xl3HAEdZIuxBY1jGfR5OHcee1Q7BYjB0+7eOLNg1ReXcSOI41MGztIs1mm9EV4ctY4poweyFuL+zIgx5r0AyHbbGThph0JG3XVFaM40+LjaJObirLChEIMW8wGWaoPG6VkOf54ugsjMi3CfQnwSpL0HvBL4EdpXo9AkLG4AyEWPlfHitcPJESwT80eh0GvQ6eL9iYAeOKtelp9QYrybCy6aUTM9ARnSq+uzWJg5tVF3P1sLSPaotDKa4qwW4yUFDjUPrXxz3NYTYx4cAs//uNuXN720ecKE4pzO/QHr6p00t9u5sdfl6iu2adG3a1+bZOajsa+Jzvu9osIV0WW5TBwT7rXIRBkIvFOhCyTXnUOAKoLIRAMcc4b1NjAfnW7k0AoohlZvqrKSV62GU8gTIs3eVFDiyeotl+E9mm8a2aXq2W6qfLDylf5de8dZlWVkwVxM8uUdpDJCiM2vR/NPceX/M7fuEvTLyF51d3YDo+nk4wSXIFAkBxlcyh+SoNSoVVTd0L1qj49p5wFcSLp8kbzs/HCqfQyqNl1nKXTSzVj0VdVOslOEYU62qb0KnPNYp+njOJRWP1mPfNuLGHN7OjQyBZvECIR1r13JOk9g+EQK944yLxJw1OmBUKhMAaDPqn/WCmASHU8nQjBFQgymNiottUXJN9h0fSzXTO7HIApowdSMsCOyxdMmtdURprHonx9h6goKnnekgF2WrwBVRyTld0qaQIlD6w8r9UX5HfvHtY0m5lQnEurP8RnrX4cViOftfr564HTVDgHMaiflafmlGM3R/PDm95voOqaIirKClNOAm5odGMzG8jLNquim6wAItXxdJIZqxAIBAkki2qVloY1dSfaNp6iOdaFcX0M/vnQ1/noTKtqszra5OZXVU4mXtWfnCwT5zwBtn30KfWnXQAa8Vx8s5QQdQKqb3bp9FLerT+jVq+9uuckZ1p8rK5y8uqek0wbOzihYCEciVCz67jmGsv/IrPophE88OIe1ac7b9Jwjja5uf/rEi/UHkuokFOed6bFx9NzynEYMm0bqmOE4AoEGYQmovUH2bj946S7+DV1J6KRpi95jrW6YhTVNftYOr2UkvxsBjgs2My5mt60qyqd/ONEMy/uPKH2SJh3Ywn3v6DNmy7YFHUdzJs0HJc3yEs7j1H9//7BosnDWTOrHEdWNBL2BkK8tvcUtR+f1ZT/+oNh5retacUbBzWvY0iujYIcC4tu0or86ionc75cjF4Ha+eMJ8tsUFs/KoMsszMkar0YetbHg0DQi4mfO/b99bVMGzuYirJC9ZwPjjRxVX42by++gd/PvYacrOQugZIBdlXY7rx2KKFIRC3vlR+eSnXFKDa934CzqB9nWnxkmaJDJYcXJC/xdVhNXPXTV7lnQy0Tr+oPRCNeR5YRrz/EyzuPEQyFWV3l5EyLj1tW/41Zz2xHr9Ox9DVZk76IXePRJjcLJ49QRT525I7HH+KsO4heB0eb3JQMsDPvxhIqygpVJ0JPo+d9RAgEvZRko3NiI1qA+ZNKaIqZuvDGoq+mdAlAuycVIkwbOzhhc8thNUbzwJEIn7r84PKf93qKcCr5VICvjSxg6WvRjbLoKB2jJiJVhknGXlOpZkv1oTEgxxr1/MZ1MVs2oxS7xZh2x8GlIAT3Iin+ySvpXoKgl5LKxF8ywI5Rr2NCcS53XjuUu5+tVQVxxesHElomxroElDaMfW2mhFTB/S/s5uk50b4GM68uwqDXUdjXmjJvqlyv/rRLrVZb8brM47c5mfXMdh69dQyTV/yVkvxsKq8uUnveKpN+N73foL6OaF4XdEBTa2qRnzJ6IAviuphFp0GUY+hh+VsQgisQZAxuX/LROW5/kAOPTI1am+JEuabuhCbP6fIGWffeYV7dc1ItaiBCysqrbIuRb3/p84QjEX78x6hoz59UwlOzo1Gqyxt1HSjXW1XpJDfbTHXFKHXzqv60iw+ONFGUZ+PAI1M5/pkHi1GvNp5RJuvO+XIx8yYNp/60i4f+vJ+auhMsmjyc2V8uTvjQWD6jjKWv/ZNfznSmnDLRE+mZqxYIeiF6PQnCs7rKiQ5o8QRwWE1J55mdOucjQoRZz2xP2O33B8Ms3hyNZJOJ+fHPPITCEY1HN7qx1cTaOeW0eANUOAdFN8x8Uf/s7N+8nxD9KtfKyzbTz2bCZjFi0OvxBUKse/cw9WdaWVnpZMSDW9RCDYja2X6w4cOEPrsQ4UyLL+WUCbcvFJ1QnAHe2otBCK5AkCFYTQaWb5XV6QYNjW4eeWW/OrnWZNRfUGXVLav/porh0tdkCnIsXpU1AAAgAElEQVQsGHS6hG5fFxJF/u3gGcZ/PppvHZJr4/Q5L8/cEY2mGxrdrHg9GuUun1GG3WrgrCfAfzxfp0bKd1w7lB9+bTjHP/PQ6PIltGr0+EMU5Fh4edeJhD671RWjNPaz2Kq5z9x+Cvtm4fIFyTYbekx6QQiuQJAhuP3RgYluf4hvr92uieqUKbbxFVTNrV762Mzq8afnlGMzt29YQXQE+ffW7aAgx6J5fOlr/4x+rb9pRMrmNzdIA/jMHdBsWq2qcnLg1DmG9Xfw+G1O6k+7sFkMRCJQkGOlumIU2z76lElfKOCeZ2s1Ap9sUOWyGaWEI2ia6Rw85WLKyncAWDR5uJriONPiwxdoT38o6+mfbVEj3WTN2DMlCu4ZHwsCwRWAEqWmmr5gsxiiX+sV7YjAJ0ePqGKi1+sw6HWcOuelumYfr+45yaKbRqj9CF7edQIdcLLZoz4+cVgedquBVVXOhPaN6987QiAUUbuIxVa4XZXvYN17h6k/7eKq/GyCoTD3bvhQbbM4dcxAXt55TPO8xZvr0Ol1Ca0a79u8m0U3jUjaOhKi9jO7NRobnnUHWLw5cT1K28VQKMynrT7VWjd33Q4aW/2ahjfpRES4AkGGoESprf7U03HvjokYV1eNxe5waK5h1uuxmaOTEoryov1kFfGO+nl1DOyTxZOzxmG3GDnZ7MUXCPO5PlbNEEjFzpWqn4HdauTOa4eSbTHS4g0kzENbuKm90EHzvBSbd0V5NuSHp6YsDW5odNPPZk79YWQ2EA5HaPWHElwN8zfu1DS8SSciwhUIMgglSl02Q9tucdmMUjyBENsONfKNMQOprhhFbraZPnkFmujNEwxx74YPuWH520QiqB25KsoKWXyzxNz1O5CWbOHeDR9y6pwPm9nA4s27kZa8RrbFiLRkC1NWvqMKntLPIBZl00qvA38w1GHxRfzzlJE78ccPnnIhLdlCtsXItLGDE6LtFa8fYN17h3F10HbRHQhlbB9cBSG4AkEXEQ5HVEuUyxe84K+1yuZZbFXY8q0y/e0WVTiVHrF3P1ur+cocKzj1p1289OExVswsY9FNidVcizfX0eINqseSievWvSdZWelMEP8lL+9h7vpaWrxBTjV7U/akjRfOl3ceTzl9QimGWPG6zKO3juHAI1NZOdOJQQ+/nOlkyuiBZJsMCetZXeVEr4v6mFu8yQU93X1wFdIfYwsEvZBkjWdWV40lL9t83g0cZfNM2TSC6Dyvo03upL0ONm7/mO9cF/163+pr7+71xFv1LL5ZYvMHR/nh15KnBmLH2CRrtVh5dRHHz7rVEeYt3iD+YEjdLNv0fgPTywcnPO/x28qIRCJqS8ZzngDr3zvCijcO8mHDWY0TQ3E6rK5ykm02smKmk3OeAFv3nmRUYV/NdVdWOvnw4yaenDUOh9WExx8iFA7zvd/tUJ0RCSPhM2jarxBcgaALSFame6G5xOTWLydmgx573ISFirJCpo0drG0sHtPdqyQ/m+99ZVhKP2vU8xqlpu4EJfnZPD0nmsttaHRjNekZ1NfGvRs+pCDHwuIpUkJVW0GOlUXP16k+Wo8/RLPHzz0bPuSxb5USCEWjy2+NH8K2Q01qd7Ff3R4tolgx08mpZi9mg55wBL69Nuonfuibo7lnQ21CbnjNrHJ+9qe9asewe2JG/Cg5Y0WQW9tsY8KlIBD0YlKV6V5ILjHW+nXgkamsvWM8uTYzJqMet1+bw4yNeGMHNH7nuqEceGQqd31lGG5/kP/+e+IgyVVVTuxWg+bYreWDCQTDnPME6JNlQq/Tq83M772hJMFhcP8Lu3H5gtTUnWDKyneY9cx2jp/18Lk+WXxwpInCvlk8/Of92ExG+maZePTWMWqa5Of/bz93P1vL8c88TPzFm9yz4UN17E5N3QnsViMFORa2Lryej/7zG2xdeD0FORbVHra6amzS93n1m/XkZJnwBELYLcaM8uiKCFcg6AKSVYQpucQL2S2PbZ5tMxnU9ERBjkVTjZZq1z7bYkSv0xEG1UGQk2XSNJapPdLExKv6qyW4R5vc2C1GjHodVpOBU+d8DOzbHlGnuleO1aT2SIjmaY/B6IFqP4RT53ycbvFRlGdj8oq/qpVmFWWFVFeMYlC/LLYuvJ4n367XlDd/0uxJiKiXzSjFFwixdk7bJIfA5b3P3U3mrUgg6AVc7Eytjsz68emJcATV9uVKMYtMuYYSAUZTD4NUsVUaky+aPJw5Xy4GIN9hIRKJYGvLBb9Qe5R/GzdYvX6qCQyt/iDyw1OpP+3i5Z3HmDZ2MC/vPKaK7+oqJzazEXdMWkPZ/IvNzy6bUYpRj/q+hSPw4z9q89X3bd6t5oXdvuhctzWzxvGZO6B+aPSzmTImZxuPLhLJDEPwhVBbWxspLy/v9Ovu37+fkSNHXtC5PbVb2JFf3NJp17qY96sbSUuSrqPfyQuteDrfBls4EknoQaCUvx4/fhxrn/yE5+baTDS5A7T6gtTsOp60NePyv8i8uuck8sNTafEG8AXDmskRKyudbb7gaD+EQ5+2JkScqyqdHD/rZmh/OzlZ0ZxplilaoGG3GDn2mYf+djOBUIQ+tuim27p3DzNl9ECqa/ZpxHvisDw1cm12e+mTbU36uuWHpyIt2cKE4lzWzBqHPxTWlCyvrnKSF1N5liaS3lxEuAJBF3GhM7XOt8HWUXrC1dLCoMJBCcMSlWum2nxS+uyeafHR6g/i8YdY1FZRppyjFC9U1+xTxdcbCLF2TjlZ5mjBw7aPPmVUYd+ESRKv7jnJxKv6q3PWnt12RB2vs6rSSX+HRc3PlgywU3/axZNv12OzGKBNX1N1T4udCKyUHSeb7Ku8D5lU4ps52WSB4ArlfBtsSnpC6z1tT08owq7Xtf1fr1OvWVN3Qp2wG3/9kgF2Vswsw6jTUdDH2uHkiIWbdtHqD/HTl/Zy/KyXWc9sx2E1MSzfkbBpt+n9BqaOGah6he95Njq54htjBqqbem5fkMVT2v3E1TX7WDxFwuuPdgFr9oZ54cOjCQUg8WW/qYZj2swGzfSMTCnxFYIrEKQZJYKNRanmUnonZJkM/ObOdtfC+fy8sdc8l7IYIMgAh4XTLT61Ii3+nNhJDw6rkV/OdGIzG/jV7U517E284E0ZPVCdsxbrZph3Y4l6LSBpT4VmT4ARD27hgRf3cKNUwBv/OKUWQTw1u5zCvlZ1zA5ER++kKrpQvjW0j+3ZqfZcSBdCcAWCNJM8gnUSCofbI7T1O2j1hSCCGsVe6DXtFmOiJazSyX///TDSktd44MU9WI16VidpYKNEk0o/A2nJFn78x92EI/C5HIvq740llZshdjSPLUUJ7oAcq0akJ17Vn5VvHKDR5ePuZ2v5ws9ei0bDN0s8+e2x5DssCetOZRfLhBJfkcO9QrjYzb7O3GQTdEx8y8VWXxCb2cDRJg9TRhVoGnNnWwzYzBdmK1Ou6Q2EeXnnMfU6Ld72qi9oy3tu2sXaOeXtUxriJkcsm1HKY6/Jmg5da+eM56Wdx1hZ6dRstqUqsjhx1qN+mKRyV8TOPVNEeuHkEQnNcV7eeYzKa4q4q63tpOLacPtCGW0XyxjBlSSpD7AByAHMwCJZlreld1UCQfeg1+uifltXu1th/qQSKq8u0pSprq5yYjVe2OaPktsNhyNUXfN59bryw1NZ/Wa95twPjjRhNRkwGnTMemY7BTkWFk4ewQ+/Nhy3L8iSl/dqOngp7SKTjUU3G3SsqnKyIMY5sGxGKQ6LkbVzygEdfzt4OkGoFVFXUCrhivIS87Txs85e3hUdVLn2jvHqe3kxtrzuImMEF1gE/I8syyslSZKAjcC4NK9JIOg24t0KU0YPVKu8QLsDfzFRWrIIOln0d+wzD9lmAytuK6OgjxW3L0QkHCFCdIxPLMpIHaWHgjJlYnWVE7PRgL3NKzwk10b9aRePvRbtl/DYt0op7JvFvb/fqRY+lAyw4/YH0QGLbhrBL2dG88P97WZCbXtcbyz6KiteP6CKfkdtGl2+IDaTQfOaM8WlkEmC+0tA+akaAW+yk/bv39/pN/Z6vV1y3Z5MR+9HJr5f6fQFd9Z7IUlf0IhISlExGdR7XsrPYnDxsKSz07LNRixGPec8Po4fPw5AqyOP5z44mtCcZlWVk03bG6g/00p1xSiuys/G5QuSk2WKTqHItmqqyiDqoS3sm6WmDWrqomN1jHod//z513EHQqpAHzrTQvnnc9n0fgNTRg+kZICdh6aNpvzzfXlt76mUKYmDp1xRG9vMMvwtjbhaWi7uh9BJpPp9TIvgSpL0PeBHcYe/I8vyB5IkfY5oamFhsud2xT+sizPyH+r0+2ciHb0fGVr4kDY6671wxUWeqSq73IGQes9L+VmEIxFe3HlE7QB2zhPgT7uOM3tiMXqdjn72LPrZB+PyBZm7bke0yqxNWJVo1GYyqGmKJ9+uTyiIeGp28qGVrb4gW/ee1Kxn/qQSmjx+TQpiZaWT2o+bEgo2VlU5mTyygJfaKtmSFXNsO9TIwufqWHvHeIYMHnypP44uIS2CK8vyb4DfxB+XJGkMsAlYLMvyX7t9YQJBGonPO27dezKh1WBn5CG9gRBfG1mgKVZYNqMUbyCk2ZCL3emPjUYPPDIVva49TUEE5q7foUl9/O7dw4ltEiujvW0rry5i26Em9fid1w7l7mcTu4I9OWsc97Z1AqsoK2TejSXkZVtw+4Pc9MUCXm+zjBXl2Th4qn1KBWSGIyEZGZNSkCTpi8BmYKYsy3XpXo9A0N3E51rd/hBZRn2n5yHD4XYPLLT3KFg7Z7zmvPM14FE35SKRpB275k0qUfO4J856CITCWE0WgmFYWekk32GJvqYUFi5lkkSqvgv/UjaQSBhONXsTyoQzwZGQjEzy4T4KWIFVkiS9LUnSn9K9IIGgu4mvGjMY9AlVZJeL0gIxFsV1AO2TKrJM+oThkski7FSFGx5/mMkr/sqPnttFJELbKJ9o5ZkOiIQjmtLl+Ocrm3vJWlDet3k3Lm+IYDiCzWxI7sXNwAY2GSP/six/M91rEAh6M0oznUgkkjK/mm02ahrpzJ9Uoo4oTxVhZxn1CTawpdNL8QQSBRNQy3vX3jEeu0Gf1MK1stJJQ2MrKyud9LdbUk6r0OlQey+c75tAJoxPz6QIVyAQdBFKR7K563aQZTIknSumFAzElsSueOMgdz9bq0kjxF+3yR1g0/YGdQbbU7PL2XfiLP5gmF/d7mR4QWoLFyQ2XH96TjnPvd/ALb96ly17TtLqi7Z/3LrwerWkV/Houv0h9Hpd0n4SqV5/OnsrZEyEKxAIuo7Y7mEuX5DB/dpHpX90ppWXdx7ju18ZdtElse5AiI3bP1atW/WnXWzde5LvXDcUm9nAJ80+Ghrd5636UooV3P7o5N07rh3K8AI7owr7akbDL51eSkl+NreWD8ZhMV5w2uByRh51JkJwBYIrAJvZQEGOhUU3SRp3wtLppWzde5Kqaz6vCt7FlMRmmfRJe+0qX9sXb64j32FJsHDF51iT9QR+anZ5gnvh/hd28/Sccgx63QVX3CmvPxN6KwjBFQiuANz+EAsnj0jIpSoClm02nrckNlkO1O0Ppb5mW4MapfghdsikLW6wY7IINDtFgxtlfNDFvv5M6K0gBFcguAKwmQxJexLEC1gya5oSiSadSmE3p7xmbANxxccb2+9As74kEWjKwo82kbyYTbBM6a1wxQtuexetK6OCTHBlotfrOpx/FhvlJZtU4YrpLwvtOdCn5ySvKHP7QoTC4aQlxMlELlkEunXvyQT3Q2y03dFYomSvPxN6K1zxgisQXClE/aqXFuV1lANNdk29Huau/5B8hyWuvWRyL3GyCPTW8sFs2XMyofWiXq9L+QHQ0SbYhY486kqE4AoEPYRkX6EvhsuJ8lLlQD2BcPIUhA41f6uU2yplwReytoZGN4+9ppTq/iMhFZGOTbDO8PEKH65A0ANI5SO1OxwXdZ3z+VVT0dFctWTXTDk2yJ96xE1sBDp5xV8T++/GiOmlXP9y6CwfrxBcgaAHEF+QoHyFtvfN65b76/U6cm0mnp5TrhYn5NpM592kUgR60eThPDW7XO1X25FQXYiYphpLpNdFu6Gd7x4XS6r3/2JnpImUgkDQA0j1FbqPzdot91cqyi5lkyrLpKex1a8pYOjouTaTgV9/eyzNniBDcm0cbXLTz2bSpFAS0iNtm3Tf+92OC7rHxdJZKQwR4QoEPYBUUV+zO2mf/s6//yVEeEqKwBMIq+NwLvS5gVCYB17cg7QkOsHXHwqnvL5epwMd3NPWyrErpvR2VgpDCK5A0ANIlUN1nW08/5M74/6XEeFdSrnwgk11ceK5q0Px7OpNtI5y2BeDSCkIBD2AVA4D+Vj3jJC5nEqti33upYhnV1eSdZaPV0S4AkEP4VIdBp3B5UR4F/vcS/n6HnuPac5C3l58A7+few1E6LTNs854/3WRSPe2J7scamtrI+Xl5Z16zfZKM8GlcuQXt6R7CQBpGcfaFb+TF0N3zpe7HB/qxTw3HI5wpsXLwufqLmoDLByO4A2GaPUFmR9XndZZm2cXQdKbiZSCQCC4IC6nUutinqvX6/C3NF7013e9Xkc4AvM3xo+W7/42jKkQKQWBQJBxuFpaLq1AI0PaMKYi/ZLfyYgUgUBw5ZIpbRhTISJcgUDQa+gs+1ZXkX7JFwgEgk4iU9owpkIIrkAg6FVkQhvGVIiUgkAgEHQTmSX/gh5JV29UZojPVyC4bHpc4UO61yDIXMrLy7s9USd+JwWpSPb72KMEVyAQCHoyIocrEAgE3YQQXIFAIOgmhOAKBAJBNyEEVyAQCLoJIbgCgUDQTQjBFQgEgm5CCK5AIBB0E0JwBQKBoJsQgisQCATdhBBcgUAg6CaE4AoEAkE3IQRXIBAIugkhuAKBQNBNCMEVCASCbkIIrkAgEHQTQnAFAoGgmxCCKxAIBN1EjxJcMc5EkGmI30nBxdBtQyQlSdIDvwbKAB9wlyzL9UnOeQX4kyzLa1JcqtN/wY8cOUJxcXFnX/ayEeu6KLp9nlkMaRPdDP1ZXDa94HUl/X3szgh3GmCVZXki8BPg8STnPAz068Y1AeDxeLr7lheEWJfgfPTWn0VvfV3dKbjXAa8ByLL8v8D42AclSfoWEFbOEQgEgt5Gt6UUgBygOebvIUmSjLIsByVJGg3cDnwL+D8dXWT//v2dvjCv19sl171cxLounJEjR6bt3ul8LzLxZ9EZ9PTXler3sTsF9xzgiPm7XpblYNuf5wCDgDeBYsAvSdIRWZYTot2u+Ie1f//+tP6DTYVYV88g3WLfG38WvfV1dafgvgv8K/C8JElfAvYoD8iy/GPlz5IkVQOfJBNbgUAg6Ml0p+C+BNwkSdJ7RHfwviNJ0iKgXpblmq66aTgcwR0IYTMbcPtD2EwG9Pp0bmgLBL2T4p+8csHnHvnFLV24ksyl2wRXluUwcE/c4X8mOa+6s+4ZDkdobPUzf+NOPjjSxITiXFZXjSUv2yxEVyAQdDs9qvDhYnEHQszfuJNthxoJhiNsO9TI/I07cQdC6V6aQCC4AunVgmszG/jgSJPm2AdHmrCZDWlakUAguJLp1YLr9oeYUJyrOTahOBe3X0S4AoGg++nVgmszGVhdNZaJw/Iw6nVMHJbH6qqx2EwiwhUIBN1Pd7oUuh29Xkdetpm1d4wXLgWBQJB2erXgQlR07Zboy1T+LxAIBOmgV6cUBAKBIJMQgisQCATdhBBcgUAg6CaE4AoEAkE3IQRXIBAIugkhuAKBQNBNCMEVCASCbkIIrkAgEHQTQnAFAoGgm7iiBTccjuDyBZGkL+DyBQmH0zbtWiAQXAF0W62rJEl64NdAGeAD7pJluT7m8R8BlW1/fVWW5f/blesRzckFAkF3050R7jTAKsvyROAnwOPKA5IkDQO+DXwZ+BJwsyRJpV25GNGcXCAQdDfdKbjXAa8ByLL8v8D4mMeOAl+XZTkky3IEMAHerlyMaE4uEAi6m+5sn5UDNMf8PSRJklGW5aAsywHgU0mSdMAyYKcsyweSXaSzZtV/bkgxE4pz2XaoUT02oTiX5lYvnxw9knC+3eHA3jePPjYrzW4vrrONuFpaOmUtqa7v9Xo77fV2Jpm4rnSPKk8XmfizuBDOt+ae+roUUv0+dqfgngMcMX/Xy7IcVP4iSZIV+C3QAvwg1UU66x9WOBxhddXYhBxuH5uZfnH3UPK9P/iD9txBhYM6Jd+b6vr9gSGDB1/29Tub/fv3p1XgMo10i33m/CwOXfCZ51tzZr2uzqM7Bfdd4F+B5yVJ+hKwR3mgLbL9E/CmLMtLu2MxmubkJkN0lHqK5uSx+V5AzfeuvWN8p/TYTXX9X99edtnXFggEmUN3Cu5LwE2SJL0H6IDvSJK0CKgHDMBXAYskSVPbzn9AluVtF3rxcDgSFc2LmOygNCc/36fpxeR7L2Udqa7fx2bt8HkCgaBn0W2CK8tyGLgn7vA/Y/58yerS1RYvZRhlfL7X7Q9pItxQKEyj28+Cjbsuah2prt/s9tLPnnXZ6xcIBJlBryh8SGnx8oeiBQ2RyGUVNlzIMMpwOEKrP8SCjbsu2mqW6vqus40dPk8gEPQsesWQr5Rf+S0Gvr12+0VHvcnSAucbRukOhMi2GC/JapZq2KV8rPNcEAKBIP30jgi37St5LBOKc2lodF90tKmkJ+au28GIB7cwd90OGlv9QNsQSiVI1qFGzeFwBCLgSbEOt18UUwgEgt4S4bZ9JdfmcJ088orWx3ch0WZHjgSbyZAkV+zEbNBzz4YPKcixsGxGKfdt3q0+vqrKqUk9JCNVDtrucHT4PIGgKyn+ySvpXkKvo1cIbrKv5HodnDrn05w3f1IJrb4g2RZjSgdBbHqioqyQeTeWUDLAjscfwu1PJsa7ePTWMeqxcAQevXUMRXk2XN4g2ebzuxQuxBZ2Ke4HgUCQWfSKlAK0W7z0uuj/rUbtRtSiycOpvLqI76+v1aQK4jfSlPRERVkhi2+WqK7Zh7RkC3PX78BmSZ4rHpJrU/9eU3eCySv+CkRTEAbD+d/i89nCUqU5RHczgaBn0WsEN57YqPfAI1P5znVDWbDp/A6CaHrCyaKbRnD/C7s15zc0upPmaI82uTXHlEg6Ns/bEaly0M3uaDsJ0WhHIOgd9FrBBW3UezEOArNBT1GeLeH8lW8cYHWVM86+5aSfzdRhJP1pq49QKJxyneezhYlGOwJB76BX5HAvhI6KFyAxR6rT6RLOP3XOh81s5NFbxzAk18bRJjdmgx67xajmj1t9Qb6/vlaTj12wcRdPzS7HbtElzbuezxZ2oYUX8Yi8r0CQWVwxgpvcyRAtXrA7HLR4A3zmDjAk14YvGMZmibB8RhmLN9dpHAe/+dshVrxxUL3uxGF5rJ3TLpSpIulsixF3ILVAKtE4kHCOzWRgzaxx6vqONrnpZzMluB9iBdYbCNHqCzL/IqveuhrxISC4krliBDdVFKnX6+ibl0+zN8gDL+5RxWnZjFKyTHoe+1Ypg/pl4fZFnQ+HPm3VXPeDI01kmfU0tvrYuL2BOV9O3vax/rSL4QV2IFoCrBRKtPqC2EyG826u+UNhzfpWVzk1j8dby95Y9FUeeHFPSntbR6LXVaIopmwIrnR6dQ43nngnA0Q3tbKtZoKhCPkOi7opdd/m3ViMBiIR+Pba7Th//he+t24Hi6dIVJQVqtecUJxLizfIxu0NTBs7mPXvHWFlpTbPu3xGGX1tpuj9vAFa2tIOIx7cwvfX19LY6u8wx+sOhNi4vYHqilHID0+lumIUG7c3aDbN4jfWhuTaKMixsHXh9Xz0n99g68LrKcixkGXSd+h4CIXCuHxBskwGDp5y8du/HaKx1Yfb314ifan+YLH5J7jSuWIi3HiSRVtLp0en+tTUnWgrDTby278f1kSJ923ezaO3jkGvg4WTR1CUZ8PtC/Ld64aSZTYyZfRA9p9oZs2scuxWIyfOerCYdPz7H3ZpomdF3PMdFtz+EP0dOlxt0W58tJdl0jNt7GDuf2G3Zq1ZJj3hcAS9XpfgH3b5gqyY6aSh0c1/PL+LU+d8LJtRmsJLHFPYEdd8Z+n0UjZub6DCOYjJK/7KhOJcVs4sIxQK4wmGO6Urmtj8E1wpXLGCm6zY4P4XdlNdMYqauhNqafDMq4vIyTJR/f/+ASi+2ywevGWkJj+6bEYpS17ey6lzPlZXOQmGQ5w4G6Cfzczc9TsSRLu6YhQAi2+WNEK6qspJXrYZjz+M3eGIfr33h1SLWuxan55TDqCmJuZPKqH+TCuLb5a459na9q/tlU68wTAD+2Sh05FS9Fp9QTZtb0i4z9o50WlIS24ZycSr+pPvsOLyBfndu4dZ/Wb9ZXdFO9/mn0DQW+i1KQVlBHpsp7DYY6mirZIBdiYOy2Pp9FJWvH6AhZt28W9jB6tpBEUg5sd1Bbtv827uvaFErT5r8YbQ6UhZLFEywM68G0sSvL4LNu6i/nQrc9fvwJGbT2Orj2xz6o242NRE5dVF/OxfRmqume+w4AuF+fEfdyMt2ZLSS3zwlIvvr69lWsxrVe6TZTbw278f4htjBlJds48RS7Zw97PRc78xZuBld0U7X+mzQNBb6JVhRfLNmfaeB8qmUrJoy+MPUV0xiuV/kampO4FRr8NuNTLvxhLOtESj11ROhJIBdvXPg/tlcewzD25f8qjuaJObkgH2lNfZdqiRs+7oRl51xSjNNSrKCll00wgAVs50otdDnt2C2xdSBV4pSx7UN0sTYa94/UBCv4el00tZ/hc5IcpX1lp/2sWU0QPVwhFI/EZwOV3RUkXFwtEg6G10q+BKkqQHfg2UAT7gLlmW62MenwvcDQSBh2VZ/vOl3Cd5bwJtz4NkwrOy0slv/661fcU6DB69dQyPvLKfhZNHpHQiQLTSrLHVzwMv7knZ0MZuNqrdxc49fYIAACAASURBVFJdZ0hutPjiibfqWTq9lPtf2E1BjoXFUyTN9ZbNKGXRc9E87ZrZ5cyfVKLmfDfcdY1G1GvqTqDXEbWyWaIbY8qHC7QLvlGvUz+oHvrzfn4509nhh8yFpgY6sr/FIhwNgt5Id6cUpgFWWZYnAj8BHlcekCTpc8B84FpgCvCoJEmWS7lJqnRBbM8DiM75WTsnWvr72LdK2bLnJDOvLtJ85V06vZSte09yzhP1wN57Qwlvy6dZNqNUc96yGaU8+XY9E4flcee1Q1nYFg2+vOsEb/zjFGtml6sOg03bG/jU5cdq1Cc4GpZOL+WJt6KfQUeb2r/+G/TRtT48bQz3bd6dMp2x7t3D3HntUDWtUH/alZBCOHXOx2duPw2Nbqpr9qliC4rrIoD88FQevXUMJoOeFbeV0eINJE1F1J92dUlqQDgaBL2R7k4pXAe8BiDL8v9KkjQ+5rGrgXdlWfYBPkmS6oFS4IOLvUmqzRml54HSmGZxXJT4YcNZJhT34+k55WRbjJzzBNj20adUXl3Eto8+5d837lK/gv/P/lNqlHj8Mw8Wo54VM52cafFht2pTDhOv6s89z9Zq1gNQeU0Rz70ftXuVDLDjDYRw+4P8cma0l0N/u5k1s8bR4guy+9hZJl7VP7qBVzGKJ96q10Slwwvs7K2eQrPHr7l/bHSsRtiVTgx6eOjP+1ld5dRs/q2qdPLyzuPqJuHEYXk8OWscdouRVVVOjYNB2eBTHA6dGXkKR4OgN9LdgpsDNMf8PSRJkrFtXHr8Yy1An/gLXMiservDwcqZZSx8LqZKrLIMk0HPxGF5ms0qaHcOrLitDL1ex/fX12rSDLUfNzEs36FGWve/ELWGBYIBmoMBfvzH6LUqygr5+TdHqRtTyrFBfbPYcNc1fNLsIRyBwr5Z0YIHs4EpoweqEe2Pvy4lpDjsFiN7jp2l/PO53NuWf463sCmbXtU1+1g2oxSXN6jeXxFlpWXkwVMuNr3fQNU1RQzrn02WycCvbh9LP5tJrZSbXj6YWV/6PB+daeXJt+txWE1IS7Ywf1JJtETZalRbT55z+3CdbeRoS+J0CrvDgb1vHn1sVprdXlxnG3ElOS8ZnxuSvICkudXLJ0ePJJyf7lHl6cLr9ab1/pfK+dbcU1+XQqrfx+4W3HNArGte3ya2yR5zAGfjL3Ch/7DC4UjC5gygHksWPRX0sfLttds1Qrxw0y41Ao09tyjPpk5/UEqGX91zkpUznVTX7GPp9FJe3nmMaWMHM3f9DjX3+uM/ajertu49yc/+ZSRmo0ETBSv3XjunnIlX9efeDR8m3bA60+LTbHrdt3k3KyudrKp0smBTNBo90+Ij22Lg5FmPGhlvO9TEmlnlHDzdwtD+dk42exM20rbuPcniKRKfNHsIhiOseONg9Hmzy7W2s6qxDCoclFCt1tjq5wd/2NnheR39/JKVYvexmemXRnFNRrrFvuvuf6iLrnv+96xrX1f66G7BfRf4V+B5SZK+BOyJeex94BFJkqyABRgJ7L3UG6XanLFbjLh8waTRk9sXSrkxpGxkQVwjc18Ih8Wgphe8/hALJ49gUL8s7rx2KHe3iejWhderuVfQiubG7Q1897phbLjrGupPu1RRVIovlHXEr2t4gV3jqFCO97dbgAhr55RjsxhpaHTzyCv7GdY/m4e+OZpfznRy4qwHk0FH2ZB+nPMEUq7tvs27eexbpZr72i3GpIUTse9zR5MzLsRze7GOBoGgJ9DdgvsScJMkSe8R3bP6jiRJi4B6WZZrJElaDfyN6Gbeg7Ise7tiEaka2ej1JBXiVl+QQ2da2LrweoYPsOPyBfnvv7eb/pfNKGX5Vplh/bOpuqZI7XkgPzxVFcpUFrCr8rOZXj6Euet3JKQLzrT4aGh0k5ttTrmu6pp9SXPVudlmmlr9PNDWuayirJBpYwdzz4b2yHTZjFL+p/YUsycWp/yg+eBIE4V9szTXj/3wUc6Nz612Rg72Qh0NAkFPoVt/i2VZDgP3xB3+Z8zja4G1Xb2O+OipudVLH5sZIEGIlZlk5cW5CSWv9Wdaqak7oakcm79xF/kOC6/M/wo6Hbyx6KuseP2A6hZIEE1/iMWb6xKiS8UhABHsViNPzS6Pq+xyotfpWDNrnOotVkS0b1a0b0NRnk3dYEuVt14zq1yTc45dm7Lmo01u1Sa2qsrJpu0NmvczmSVMVJUJBIlcsb/5sdHTJ0ePqHlBzddYXwi9HrzBMAs2dmz6V3K8BTkWFt2kLdddNiPqakhWcOCwJi+iKMqz0djiY/4mbXvIeZNKONrk4ZFX9nPqnI9VVU6euH0sfbPNuH0hDHpo9gT50XPaD4fCvtak97FbjfzsT3sTnAxKDnpVZbTQ48AjU3H7Q2QZ9cycMIRth5oS2lzG0lE7TIHgSuWKFdxUKEIcDkfwtOUh44sHINH07/IG0bU1tEkWSa6dMx6dDjWves4TwN6WA06VLpgfV9m1oK1444blb6vnLtgY3dQb9/AbALy9+IaEtoz3v7CbJ2eNSxnFKvlfZXPQ7Y92C5syeiB5djM6dJoOa/6WxvPmVkUOViBIpNf2UrhcYjd9khUPxJr+l04vZd17h4kQSTqaR+lHcNe6HYTCSrvH1yl5cAvNHn9CEcWqSidZpuQ50KI8W0Kvg+EFdrUFo1KdFv+8nCxTQpHFqkonW/eeBKL2sikr32HWM9s5cdZLyYNbqK7ZhycQThBJV0uLps1lKhGNb4cpxFZwpdOrI9wLrcW3OxzR1oht52UZ9ZpNnyfeqmdlpZOFm+JM/zaz6hIAaPEGU0as9addbDvUSLbFoEaS9addvP6PU/zb2EGsmV2O3WKk/nTUJ1t5dRHzJ5UklBk3NLpZfLPEuKK+TLyqPyUD7JzzBKiu2aeW9ia7/8FTUfeD4sc91ezFbjVSdU2RJj2gbABOHJbHqioneiAciajpFYtBz+eGFEePiahVILgoeq3gXmgtfjgcwezIY+66dpfAqkonEdodCzV1J7h1bCFPzY5WoNWfdrGpreG4YuFSbF/5DkvSfOjyv8hUlBXS2Oqnumaf5jF/KKx2H1PYdqiJp2aXa8RQuU5JfjYzry7SfAAoj61797DGgzuhOJfHbyvjsdf+yZkWH3qdjoWbdlFTd4KJw/L4zR3jeXLWOHKyTLR4ggTDIR6/zYnbH8QfDPO9mPflV7c78ev1NHvD5Njg0xYf/WwmHFaTEF2B4ALotYJ7Ph+oEv0SgYXPaV0CCzbtYs3scp6cNY6zbXPEWrwB1VOrsO1Qk7pxpliogm2TE5Qo1uMP8dOX9qiivDBJx63fz02eI862GFk7ZzxZZoNapfbLmU5avAHWv3ck4TrLZ5Ti8oXIs5vV8uSz7gDWtrJjty+EJxBU71GQY6HVH0zo66v3BoiEI/zwD9r3LxQGbyBxFJHJqMdm7rW/SgJBp9Frc7gd+UBD4TCftvqYu24HWSnOc8RZl4x6PQU5loTzlM5asY1mYgkToSQ/G6Nel9KLq6QhYlHSEMfPenjizYOEwqg9be/d8GFC39qCHAtmo57qmn1IS17j++trOXXOC0T4njJOZ/0OfMEwD31zFO/efyP3f/0LSfv6ev0h+tiiPRuU3HBFWSHZZmPSxjnh1NOBBAJBDL02LEnlA21odOMLhtWCgVT+WLc/iMuXGM2FI2h6xbr9QQ48MhWvP8Tjt5Xxxx1HE8bhrKx08oMbS9SpDFNGD1RzuFv3nuT/t3fugVFV59r/zSUzk8mES7hVBAUMLC1CBkKlCraKtBQ9H3q0CLEIXkrVQ4vIh7W2eD5Oq8eKSIHWYqVoQSpYq1L6KeKFagVbqREieOgCBBsQhBAEkkxmkrmcP/bMzlyR20xu7+8fJmvvmVkhe95Z+13v+zx1DcGUNEAsRQDws2sv5s4V5Skr2njd2hmjBySkJf62u5qZz1Uw/8aSlIqJBdFSrw75eRlbnA/XBlJSH5nE1N1OKfUShJOh7a5w07gLPDrecHGIX2nG1LSSJRKBhNVct0InwVCEBRO9rJvxNWaO7s8vJhjNB796cyfhSASH3cLky/qkuDjMWLWFA8f8vPjBPiZecl50FWpUAUy+rA82q4WiAge/ubmUHQ8Zsoixdt01Ffsz1urGVteX9uuSsTqiR0dXwliPDk6sFrhrxQd8+nl92pV1vNVOvGBPXbQlOvl8X0AkEwXhZGizATe+DnTHQ2NZMnkY89YZQSy+zGtNxX7mvaZ5+PpB7HhorFl14I5zdYjJOd7/4lYGRMulJg4/j475dlx2w+DxqQ17iITJuGo8t3M+YwZ+yXRNiAXx2kCQHzy7mQsfeJU7ninnwFE/HpeNqpqAGUxrMwS6mG7t3G83KYQln1MXCCakHmIr4W6FTlx2a0pJ2rzxJWYNbvLv4HbYWFTmTbLI8YpkoiCcJG02pQCJ3WRYDOFtSNWIraoJkGezcqSu6Tb6/rEXmqmGdG2xsSaEboVOwpEI00b1Z//R+gRpxBhf6VPEwWN+enR0JQTxn147MEUFbNbzFcz99mCWThlGOGJ4otXUN6akHBZO9LL83U+Y/8ZO1s34Gi99sI9FE73UNYToXeRm7xEfHd15PL1hD7OvuYjS8zvx6raD5kr45emXM32VEXhjG3x7j/iw2yx8XFWXoI4W+x3qG8N0KXDy65tK6FjgMiUmfY1SHiYIJ0ObDrjxxLeavrL1AMXdChK1XZ02Dtc2MPfbg+nZKZ/PjtXziwle7nluS8bNrt5Fbo7UBRLyvEsmD0tp4TVyvxFzc6xboZNZ31QUujKshjvlU1UbSCj7WjxpqFl5EKs2KLvEqKEt7u5h8eE6GkKRhLksLDNyx9V1DVw/tBc3X9qH2mgeOb6qIpYHtlst7HhoLM9tquScEX25tF+XhACfb7ditVqoPVpNMNJN7G8E4RRpNwE3udXU3xgiHC3hslosBBrDPPzKdsIRmHalEZA+O1bPksmlGb3HagPBlI0qV56ViA9+P3U4vkDI6CRbp3nsRi/+xhALJ3pN2/Nkc8jY69Y1BFPKx/728WFGFHcjEoFPj9azbtsByoafF51fkBmjB6SI4Ny9cgvzxg8mAnxveeLq+HBtIEEkPfY71/iDTL6sDxt3VSU0aKzaVMltl/fDY7Pi6dSF/3j29KUXBaG90q4+HfE6CXWB1PrT/7p2ILV+Q70ruaMs2Yrm0fGDIRKhRwenGbAu6FbAEV9Dish4v64F1PqDeJw2whEbXQud/OOTJnPI1Zv3mZULtf5gSlvvuJKeDD2/iDuiot/TRxUz5bK+FLrsHPc3YrGQcdOsY74jwbU3vs54UZmXldEGjviqikVlXtZ9dJDVWzabr2W3Wvj+Vf0B6OhOL4QjuVxBODFtdtPsRBhNEan1p5EI5ioxNn73yi3UB8MUOOw8fP0g0why7quaO1d8wH3fupAHrrkIp92Kv7FJVSx+d3/KiL68+3EVNYEg31teblYHrKnYz+6qGiYOb6pcuHNFOUd8DUwfVWzOd9qVxeaK9+pB55i6tgOiNbk1/mDGCoJMpVyFLjud3Q5uHdk3papi+sotzBg9IOW1fA1GNcIxnz99tUKDVCsIwololwE3U1NEpgoDt8OGy2Fj9Py3ueDHrzBmwV9NWcbuHZwEQmHuf3HrCZsoSs8vMsu7Hl2nWTDRy8zR/RlyXlFKkL575RZuieZQkxsm4jfw4r8sbBYLC9M4AGcq/aqs9nHhA6/idmSWh0yuRrBajFbo2qPVKSV3Ir0oCF9MzlIKSql8YAXQHcMgcorWuirpnEcxnH3twJNRQfKzTqamiOP1jRnHj/rSH/M1hMx63cwi40FC4QgWi8UUJF+79QC3jOxLQYaAFxMdL3Da8TU0VT5k2sBzOWz89p3dZt611h9k2bt72H24Lu0m3txXNcFwJHPjRyBk2gbFLHoOHg+wqGwIgEgvCsJpkMsV7l3AVq315cByYHb8QaXUlUCx1vpSjKB7n1KqczYmYlQseFOaIuxWS9pxj9POgjd2pBx75IbBFDhTLcmTJRADwRAz/1DBgJ+s5f4Xt/LDbym27D2Kx2HPKP1YWe2jxh/ks2P15FmbVq+ZzvcFQixav4sxC/7KBT9+hQf+tI0xF5/D/AleLBg6vLF65De3H2TalcV8/N9X43HamDe+JHW16rCBxZCSvGLeW6zest/cHPN06iLSi4JwGlgikUjGg0qpv2AYOiY8B4horS87lTdSSr0IzNVa/10p1RF4V2s9MO64C8jXWn+ulHIAGhiktTYNtMrLyyNut/tU3jYjnsJCOnTuSqHbiS8QIhIJcbTaWHDHrL19DSFmr97KXVcUM2fNR8wbP5jGUITeRW7T7HHO//kygWCYHh1d+AIhAsEgDcEIPTq6qKz20b3Qye3L3qdbodOsBNh7xBgPRSI8vWFP2lbgh17eTlVNgLnfHozbYcNus1LosuMLBGkMR/iPOFudeeNL6OzO4/Zl7yesVC/t14UnJ5fyveXlPDm5lKc37OG2kf04Wt+QsOL95U1enHYbBQ57gp25UhcyYPZaU5AHoqVjD45F63+m/J82JxdddFGzRPyzeU2eDn6/H5fL9cUnngZjl2XPtXftlH4nPJ7N3ysXZLoevyil8CMMj7F/B4JfcK6JUup24J6k4YPAsejjGqBj/MGoYaRfKZUHLMNIKSS6FXJqNunptHCTx4nA3j07ueiiiyjs1SvxRaLNErGV6wvl+ygbfh6TfvueWS0QjESY+YeKhNv1WCXE6Plvs+OhsWltdxaVeXll6wGuL+3Fi+X7ElIB+z6v46fXDqRDfh7+hhB1DcEEW/KFE70sKvNSVOA01ch+MaEkrSyk22Hj0fGDsVksjLn4HGr8qQ69P3jWsGO3Wi109uTT2WP8P2RyNz7m87dJC+vTRWzSTx2xSU+D1vo9pdQzwGCt9Usn+6Ja66XA0vix6Aq3MPpjIXA0+XnRFMIfgbe01g+f7Pslk0kLt8idxxFfY8q4p7Aw7evEmiVWvvcvLBb4/lX9qQsEWTDRS1ePkxp/Y0qn2L3PGwaQtqjp4qef1yfY7sRKyIoKnFzn7cVLm40g3sXjpLLaR12gkW4dXNwVXcG+MfPrKZY5d6/awhOTSnl8/U7Gec/lla0HuH/shazevC+hdnb15n1MGdGXees08yd4ze6x9AI09pQvo3y7Na0vWe3RKjMoC8Lp0OdHL5/EWU0B/5OfX5O9yeSQL9w001o/epbeayNwNbAJGIthh24S3VR7E3hMa/37M3mjTFq4T04uTTv+65tK0r6O1WqhyJ3HxOHnJTj2Lpzo5fH1O5k2qn/GDjSLBZ6YNJRl737C968yzotpMsSvQn910xDsNitEoKjAQVGBI0F3N5NljsdlZ8qIvtgsGAaPgRBlw89LqBWeN76EB1Zvo6omgK8hRCQSocBpNzfuElTPAkHqG8Npv6SSN8f0vpoz+fMIQrsll40Pi4FlSqkNQANwE4BSai7GqnYE0A+YqpSaGn3OrVrrPaf6RpnKvuI3uOLHO7oz54rq0zj23r3KuAWvy3DLfbg2gNNupUN+HreO7Gt2qt33LUVjKMKK7w43LHc+Pkx9Y4h7n20Kcsli5JmqCHYdqqV/Dw/fWfJeQvvvojKvuVp+dJ3h8rB40lB8DcGEL41Hxw/GGk2ZPHZjCVaL5YSC7YB0kQnCGZKzT5DW2geMTzP+w+jDTcAvzsZ7ZSr7yhQgj/n8dPbkm2Pxt9aZgjdY+N3G3Sl508WThtIQDJspgZjFzZLJpdQ3hpj1fFPQe2JSaYrObWW1L2GOj/9lV1p79dWb9+G0n2ue163QyVFfo+lXlmez8NiNXmr9QWxWuGvFlpTUx5LJw6jxN5IfrTOW7jFByC5tsvEhnRZurDA/3Xjt0aYAHMv/To26JMQCYDyxDq5F63cx7zXNnHEDzQ40u9WSIMH4t93V/N8/VBCGlO42Txqd2+Tys6qaAB6nnd9MLjXfY3U077vgjR1AqnzkzD9U4LBb+exYPcve3ZMgNRkjJhxe4LRT6LSbX1LJv6d0jwnC2aNN3iMmC9XEVymkG//0GKZrr+Hx1XRrPf/1HeYKs0cHJzNGD+C8Lm5q6oOmq24sF3ppvy4Z/ck8aYJeunTBweMBwpEmT7S6QBB3ng1/KMzh2gD9u3s4Z0Rf7FaLKTeZTj5yelQ+cuIl51F1PJB2ZV9Z7aOrx4nNZsVtsaTdIJPuMUE4e7TJgAuJWrjxucfk8WTXXv3g2ITAuKZiP1YLLJ0yLMVwceFELwCL1u8yfz54zH/CLrb4etxDx/0snjQ0If3w6PjBPPTy9oQgvmTyMA7XBuhe6KTGH8TjMqQk508oYeZzFRm7z87r4uZXb+7khtJeKeI7j9wwmPmvG9ULsf8X6R4ThOzSZgPuyeJrDCW49mZadYYiEdMp4eXpl5sNDLeN7Mf3r+pvNj047TYWlnkTqxrKDNv1JyYNpSYQTMjHzp9Qwrzxg/lSx3zqo40WsWALTbf+vR1u6gJBChxGsPU47YQjEX4/dbjplTb/jZ3m877Sp4idB2tZtH4X37+qP/6GEA9fP8hs2pj3mjarF2JfQJm+pIS2wcmVYgnZpN1/qpI3xZLdIIzNraEUOO0ZGxiC4TDL3/2EXVV1zPqmSqiHrQsEcdgshCMQjkRSmg5mPlfBvPGD2X+0nnM75/PgdYO4d4zi9f85yKUXdKW4u4fj9Y3MWfMRB48HTLnII76GFAcIaFptx0woY6mD7h2cFDjtZtOGpAwEIfe0+4CbXNGwpmI/xd0KmtwVGkIQiVBZ7UtoYICmXOlvbi7lhtLeNIbC5vH5b+xkXElPZn4jmvP1B9OaQcbszeNv9x+7sYTrhpybkGqIBdC7V25h8aSh5sZcbB53rzLGp43qT43fCNBVNYGE1IHLbpOUgSA0I22ySuFUcOfZWDAhUbylbPj5FDgMYRZ3ng13VLwmk8i3x2XH47QlHE+uHLjzmfK0Ro/x9ubxVQ1HfY0purrTriw+oYxkoSuPz475CQTDzJ/gNQ0xDx43UgciOCMIzUu7D7hWq4WGmuomd98pwxK8uXyNISqrfRw8HjihrXgo6iIRO55Ot/Z3G/ekaNZmCuK9i9wpY8XdPQkbcMnzqPE38sir/2TEz9cDsPitXVTVBCR1IAgthHYfcAFqa2oyrvzcDhtv7zjEwoleXvpgX6r8Ypkhf+hrDPH0hj3m8XSVA4vW76KLx5FgyZ4piO894ks7ZjQ9fJoyj0duGMx//ukj1lTsN/O2D143KOULRBCE5qPd53DjSRBvCYSwWiEchq8P6M6qTZWMufgcenZymW6/dYEgFouFwzUBU2BmV1Udc8YNzGg8uf+oH4C6QJA5az6iW6EzZZPusRtLcDtsCa65i8q8uB12lr6zm0Xrd3G8vpEnJhnzqG8I8dSG3byy9YAZfGN5W19DCCzROmPJ2QpCsyIBF0Mb19cQTGss+eb2g0z66vmmyWNMB/eVrQfY8p/fxJ1nSxCYWVOxnzUV+7nO2zOl9nVRmZdwxLitqKyuM8vH5r+uefj6QZzXxY0vEKSuIYTdamH+jSV07+Bi7xEfVosRKMd5z2XaqP7sOlTLA38yhGmenFzKpK+ez20j++F22vj083rGDOxhNE047Ow8WBt1+T1fVruC0Iy0+4Aba3w4dDyQIoN47/MfMm/8YKprG5iz5qOEioHibgXkO6zU+IN87mtIW7vbEAwz/8YSU5wc4J2dh7ikbxc6uZ2seq8yoXyssTEEWOhW6ORIXQNWqwWLBbp6HASCYf664xBDzy9KKO2aN76E8k+O8OWeHZm2/P2EMrGnN+xJKBNb+d6/DKtzqbEVhGah3X7y4tMH9Y1henXOP2mb8fte+JDfThlGXUOIAqeNCHn88iYvtf4QvYvc7D3io9Bl588V+xl1YQ++s+Q9sy3YEAEP8sLf/5Wwal637QBTLuvLnSvKExomKvZ+TnH3Qjq587isuBsep80sWav1B3lp8z6+PqB72jKxOeMGMv+Nneac54wbKGI0gtCMtMuAm06gfMFEb9purXQ24z06OPHFtfn+ssxLaZ8i7n9xa8LK8xtf7sGs5z9kzMAe/PuQXhS6jCDpcdq4ZURfNu6q4ppF75gr0AKnLUGkvEuBk/w8G7sO1TD+ib8npCUeWL0taupoyDGm+7KICY7H/xzfWSYIQm5pl1UK8QLlsZKtGau2MOWyvikGkslVBONKejJn3ECKCpzMGTeQqwedQ79uhSlW57Oer6BjvoMeHZyMHXQOd64oZ8DstdzxTDmffu7ndxv3UHp+EbOvuchcgdYGgmb97pw1H6Fmr+XpDXvo163QVApb+V4lR32NcaaOWxLK0WLENHPjf44J4QiC0Dy0y6VOJo1bj8uesHlltVpw2q3m5laPDk5mjVEpHWA9O7kyyh/OGD2AGUm3+7Hb+1h32Jw//4/R0ODKS6jfHVfSk+uG9ErwM4u9X8L7OGwpSl8LJ3pZtakSe9TqZ2GZlwKHVCkIQnOSs4AbtdBZAXTHMJGcorWuSnOeG3gX+JHW+tVszCWTQHl9Q4iuHidEwOPKM495nEYg7upxps3nLp40NO3r+QLBjI0NsTrdDvl55vk1/mBC/W462cXY+yXMuzGcovSVb7dy2+VRYR1p4xWEFkEuUwp3AVu11pcDy4HZGc57HMjs3X4WcOcZil7JjQNPbdgNFlICkyvPxuj5b5OfYWXcwZWX0kH2yA2D+fFL20y5xnhit/uxrrFL+3Vh4UQvBU4bvoam9EAm2cUOrrwUYfXktl2bzSptvILQwshlSmEkMDf6eC3wQPIJSqlZGKvbjNFh+/btZ2UyXbt354mbS/E47abD7YSv9Obzqs/YW5Nokvil3n0SgmSK1q2/kbXbDrBk8jDyHTZT/jCmpZtOi3b15n0snOjF47SzZPIwAFb8/V98UHnUbITI9H61gSA7vZjglwAADW5JREFUHhzLMZ+f2qNVOTd19Pv9Z+3vcLZobqvy5qIl/i2yQWv7HTNdj1kJuEqp24F7koYPAseij2uAjknPuQror7W+Qyk1ItNrn80PVqw0rH93D+de3s9YKXZMtf8OhyOmXXpyV1ispbaqJsD1Q3sx6bfvpdTjFjgMixxPtJSrwGnj1pF9sQA3L92U8FofVB5l3ms6ql2bn6Ktu6hsiLli7ezJbxa78u3btzdrgGtpNHewP/n33/3Fp7RQ2sr1lpWAq7VeCiyNH1NKvQgURn8sBI4mPe124Hyl1FvAhcBQpdRnWust2ZgjNAluf9FFG3NDuG1kP1x5Vp64uZRCl53Kah/zX9dRgRgvdqslxfDx0fGD+fFLWzl4PGBKLE67shin3ZrSaBHbTJuz5iPybFYeX7+L20b2bWqekFysILRqcplS2AhcjeHOOxZ4J/6g1vqm2GOl1O+AVdkMtqeK1WoBi7Eija+VfexGL76GIDaLhSV/3U3ZJeeZlQ6V1T7mvqoBw6OsZycXD153MR6XHV8gRI8OzoT3+McnR+jfw8OccQN5oXwv1w3pxVMb9jDlsj74AiHcTtGxFYTWTC43zRYDA5VSG4DvAf8FoJSaq5S6JIfzOG3iXX9f2XqAOWs+4khdAwUOOy6H4eL7s5e3EwiGARg9/20AZn1TsW7bAfYf9XPHM+UM+Mlapi5/n1ljFONKepqv/5U+RdT6g/Tv4eGWEX3p2cnFd7/Wj4ZQmKnLDRfhqcvep7qugXA4q/uKgiBkgZytcLXWPmB8mvEfphm7JRdzOlVOZLQYExePidesm/E1vtKnyCztmjNuYEqJ173Pf8jD1w/ila0HzFrZ323cE2dKWYLHlWcKlMeeN33lZpZMGSYdY4LQypBP7CkSb7TozrOZegwRIvzyJi8/eNbY4Fq37QALJza13cZKvGKpiJiGQu+ifHY8NJa6QJCnN+wxW4sNPYQKlkwelr6pQjQRBKHVIQH3NEmnx7CwzMuCiV66epzsPeLD47SbdbW7DtUyfVQx1w3plVDlsLDMi8dhp8BpZ9H6XQnvEetWS9tUIZoIgtDqaJdaCmeDdHoMd6/cgtthMyQVC5248mwUOOwsKhtiqoEl2+7cvXILh2oC7DxYm7ZBwhcImXnj5GYHQRBaF7JEOk0y6TEUxHV3xehS4OC2y/tlfE7vIjf3PLclpcZ3wQTD+cHtMNx28/Os+BpCppuwVCsIQutCAu5pkkmPwRcwLG3SBUNfIP1zdh2qZU3FfsAoH+vfw5BR/LzqM7MRw51nS0lhLCobIg4OgtCKkJTCaRJfIhYv5zh79daE0q1YrnfqsveZvXorj44fnPKcx/9i5G7XVOxnzpqPzPxsbVyLcboUxvSVm/E1hprrv0AQhFOkza9wE4whz+JteHKJWKzJIbZSnb5ys6GRYMEMlADhCHESkEawLO5WYMooZsrPZkpHSLWCILQe2nTATVdJcLZuw+MDORhNDsG4ZoRYhUHscYw1Fft5ZesB9INj8f70NbNSYdqoYuobwxm/EDKmMKRaQRBaDW06pZCt2/D4NMGAn6ylstqXtsKgstp3QjeG+EqF+sbwCWUU06UwpFpBEFoXbTrgnulteDgcoTYQJByJ/htdwSYH8vmv72BRGn3dBW/sMN0Y4o8tmOjlgm4FrJvxNcaV9DypOcWnMHY8NJYlU4bJhpkgtDLa9L3omdyGZ2ps6OJ2pATyNRX7ue9bKiqp6Db1cKtqAiluDLX+YEL7bsxy/WTmFN/lJmkEQWh9tO0V7hnchmdqbKhrCOFvDKWkCV4o30cndx57j/go7u5h5jcGsHjSUKN2ttHYrPM1hLjjmXLmv7HTfM37XviQW0b0ldSAILQD2vQy6URiM1/EiRob6htCKaaNUy7rQ0MobFqlTx9VzJQRfQELh2sCdHbnUZifl9G80mqR1IAgtHXadMCF078Nz5SO2HWolv49PGb3VyyQE4HpKz7I6La7qMyLXyoNBKFd06ZTCmdCvt2aYgy5cKKX3VU1+BpCKaaNbmfTijjebTeWOlj5XiWN4Qi/nzqct2ZdwXXenlJpIAjtDFlWZaA+GGbVpkrmjBtoSimu2lSZMd8avyJOdtvNtOItcNpx2UUPQRDaCzkLuEqpfGAF0B3DRHKK1roq6ZxbMOzUbcCftNY/y9X8knFHHRxi+rQAdquFaaOK03auxTbopq/cnOK2G7/ihZiI+BaWTBkmwVYQ2hG5TCncBWzVWl8OLAdmxx9USl0QPecK4BLAoZTKy+H8EoitWOOZPqo4oeEhXjMhfoOuuHsBC+PqcpNXvCBtuYLQHsllSmEkMDf6eC3wQNLx0cD7wDLgHOAhrXVj8otkw5/e7/envK6nsJAFE0qY8VxFUyXCiL7c+Ux5it3Nr28q4bO9n6Q8/4nveCl0Ozle35h2s+xYnT/leV80r5ZAS5xXc1uVNxct8W+RDVrb75jpesxKwFVK3Q7ckzR8EDgWfVwDdEw63hX4GnAZkA9sUEpdorVOsFPPxgcrk016OBxJLCnLUCrWscBF5wzzCocjOOxWFpV5mb5yS4KmQ0e3I+PzTjSv5qalzqu5aO5gf/Lvvzurc8kmbeV6y0rA1VovBZbGjymlXgQKoz8WAkeTnlYNvKW1rgFqlFLbgQEYturNQnJJWW1UF+FUyrqsVgtuh7E5djr1wIIgtB1ymcPdCFwdfTwWeCfN8SuUUi6lVAHwZWAXLYgz6VxLLiOTYCsI7Y9c5nAXA8uUUhuABuAmAKXUXOCPWutNSqmlGIHXAvxMa30k46s1A2fSuSYIgpCzgKu19gHj04z/MO7xAmBBruZ0OoiAjCAIp4t0mgmCIOQIWaIJgtDi6fOjl0/p/E9+fk2WZnJmyApXEAQhR0jAFQRByBEScM+QTDY8giAIyUgO9wzIpiuwIJwMY5ftpjV3kLU3ZIV7BmTLFVgQhLaJBNwz4ExdgQVBaF9IwD0D0kk4xrQVBEEQkpGAewacibaCIAjtD9k0OwNEW0E425xqgb/QupCAe4aItoIgCCeLpBQEQRByhARcQRCEHCH3wIIgtDlOJReeS6EbCbiCkGVkI0yIYYlEWk/vf3l5eeuZrJBzSktLc14eItekkIl012OrCriCIAitGdk0EwRByBEScAVBEHKEBFxBEIQc0e6qFJRSHYEVQAfAAczUWv8t6ZyFwEigJjp0rdb6WJbmYwV+DZQAAeC7WutdccenAncAQeBBrfX/z8Y80swrD3gK6AM4o++9Ju74PcB3garo0B1aa52LubVXlFL5GNdud4xrc4rWuirpnD8BXYFGoF5rPTbnEz0FWur1ny3aXcAFZgJvaq0XKKUUsBIYmnROKTBGa304B/O5DnBprS9VSn0VeAy4FkAp9SVgOjAMcAEblFKva60DOZjXJKBaa32zUqoI2AKsiTteCkzWWpfnYC6CwV3AVq31HKXURGA2cHfSOf2BgVrr1rIb3lKv/6zQHlMKvwB+E31sB/zxB6PfuP2BJ5VSG5VSt2V5PiOBVwG01n/HuLhiXAJs1FoHoivsXcDgLM8nxvPAA9HHFowVRjylwP1KqQ1KqftzNKf2jnmtAGuB0fEHlVI9gE7An6N/l3/L8fxOh5Z6/WeFNr3CVUrdDtyTNHyr1vof0W/PFcCMpOMFwC+B+YAN+ItS6n2t9YdZmmYHID5dEVJK2bXWwTTHaoCOWZpHAlrrWgClVCHwR4zVVDyrgMeB48BLSql/a+23ey2JDNfuQZquh3TXggNjhbgQKAI2KqU2aa0PZXOuZ0iLvP6zRZsOuFrrpcDS5HGl1CCMgDFLa/120mEfsFBr7Yueux4jv5StgHscKIz72Rq92NIdKwSOZmkeKSilegMvAb/WWj8bN24BFsTy2kqpl4EhgATcs0S6a1cp9SJN10O6a+Ez4Ino9XNIKbUZUEBLDrgt9vrPBu0upaCU+jLG7fJNWuu1aU4ZgLEysEU3jkYCH2RxShuBq6Nz+yqwNe7YJuBypZQrutl3EbAti3Mxid6evgbcp7V+KulwB2CbUsoTDb6jAMnlZh/zWgHGAu8kHR+NcW2jlPIAFwPbcza706NFXv/Zot11mkV3cUuAT6JDx7TW1yqlZgK7tNZrlFL3Ajdi7PQu11o/kcX5xHZpB2PkSm/FuABjc5kKfA/jy/G/tdYvZGsuSfNaCEwA/hk3vAQo0Fo/qZS6GWNDI4CxCfn/cjGv9oxSyg0sA84BGjAWDZ8ppeYCf9Rab1JKLQC+CoSBuVrr1c034y+mpV7/2aLdBVxBEITmot2lFARBEJoLCbiCIAg5QgKuIAhCjpCAKwiCkCMk4AqCIOSINt340Bb5IrEPQWgOlFLDgUe01lc091xaMrLCbX2YYh/AjzBaOQWh2VBK/RD4LYbAjHACJOC2Pk4k9iEIzcHHwPXNPYnWgATc1kdasY/mmowgRLu/Gpt7Hq0BCbitjxOJfQiC0IKRgNv6OJHYhyAILRi5FW19vAR8Qyn1Lk1iH4IgtAJEvEYQBCFHSEpBEAQhR0jAFQRByBEScAVBEHKEBFxBEIQcIQFXEAQhR0jAFQRByBEScAVBEHLE/wKcUV/NQqqbggAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"nbins = 15\n",
"nrandom =1000\n",
"ind = np.arange(0,nbins,1)\n",
"Xrpca= np.empty((nrandom,2))\n",
"Yrpca= np.empty((nrandom,2))\n",
"\n",
"def random_dist(pca_dist):\n",
" rpca= np.empty((nrandom,2))\n",
" for i,dist in enumerate(pca_dist):\n",
" px, x= np.histogram(dist,nbins,density=True)\n",
" px = px/px.sum()\n",
" idx =rv_discrete(values=(ind,px)).rvs(size=nrandom) \n",
" dx = x[1]-x[0]\n",
" xval = x[0:nbins]\n",
" rpca[:,i] = xval[idx]+np.random.random(nrandom)*dx\n",
" return rpca\n",
"\n",
"Xrpca = random_dist([Xlpca[:,0],Xlpca[:,1]])\n",
"Yrpca = random_dist([Ylpca[:,0],Ylpca[:,1]])\n",
"Zrpca = np.concatenate((Xrpca,Yrpca))\n",
"df_Zrpca=pd.DataFrame(Zrpca)\n",
"df_Zrpca.columns=['PCA 1','PCA 2']\n",
"df_Xlpca=pd.DataFrame(Xlpca)\n",
"sb.pairplot(df_Xlpca)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_Ylpca=pd.DataFrame(Ylpca)\n",
"sb.pairplot(df_Ylpca)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_Zlpca=pd.DataFrame(Zlpca)\n",
"sb.pairplot(df_Zlpca)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sb.pairplot(df_Zrpca)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# apply inverse PCA transform\n",
"Xr = pca.inverse_transform(Xrpca)\n",
"Yr = pca.inverse_transform(Yrpca)\n",
"# inverse Box-Cox and adding back the constant term\n",
"Xr[:,1] = inv_boxcox(Xr[:,1],lbd)+Z[:,1].min()-1\n",
"Yr[:,1] = inv_boxcox(Yr[:,1],lbd)+Z[:,1].min()-1\n",
"Zr = np.concatenate((Xr,Yr))\n",
"\n",
"Ztot=np.concatenate((Zlpca,Zrpca))\n",
"labels = np.concatenate((np.full(nrandom,0),np.full(nrandom,1)))\n",
"\n",
"ax1 = plt.subplots(figsize=(12, 5))\n",
"ax1 = plt.subplot(121)\n",
"plt.scatter(Xr[:,0],Xr[:,1], label='Mock X',alpha=0.5,marker=\".\")\n",
"plt.scatter(X[:, 0], X[:, 1], label='Real X',alpha=0.5,marker=\".\" )\n",
"plt.legend(frameon=True)\n",
"ax2 = plt.subplot(122)\n",
"plt.scatter(Yr[:,0],Yr[:,1], label='Mock Y',alpha=0.5,marker=\".\")\n",
"plt.scatter(Y[:,0],Y[:,1], label='Real Y',alpha=0.5,marker=\".\")\n",
"plt.legend(frameon=True)\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-1, 11)"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax1 = plt.subplots(figsize=(12, 5))\n",
"ax1 = plt.subplot(121)\n",
"plt.scatter(X[:,0],X[:,1], label='Real X',alpha=0.2,marker=\".\")\n",
"plt.scatter(Y[:,0],Y[:,1], label='Real Y',alpha=0.2,marker=\".\")\n",
"plt.legend(frameon=True)\n",
"plt.xlim(-1,8)\n",
"plt.ylim(-1,11)\n",
"ax2 = plt.subplot(122)\n",
"plt.scatter(Xr[:,0],Xr[:,1], label='Mock X',alpha=0.2,marker=\".\")\n",
"plt.scatter(Yr[:,0],Yr[:,1], label='Mock Y',alpha=0.2,marker=\".\")\n",
"plt.legend(frameon=True)\n",
"plt.xlim(-1,8)\n",
"plt.ylim(-1,11)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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MhhbBKyk9FQSh3YjPKY2PqGc1dRLt67Tg9oeiBtVq4rs3DW+1/DPWVTS2VB9b9jbFBYMoKx6DNxDmC7c/6XXH6zzkZNqwmYwJIinFBYO4a/wQHtiSWDE1Y+wA3P4Qg/s6EspSY4a8wRfEYTXxg417GdDLxhN3j9P1AmJtorsasuQXhC5AssDNtt3HqfdGO4meOe/D3dSyRFm+gwyrmTVvHmmRQ7piZj67PvkiYake0ze1mY04rEYG9LKxtrSwxXX/e6QGTyDEA1s+1LcVABZMzUsIVMUqpm7My+H+uM6oj9x+He89MpUtP5wEQKbdrOsGvFx5iltXvcPfbdgNBrqkMQXxUAWhS5CsTfL0sQN1YebmnUgNBlh82yhA4+k50bSmBl+I96tqmXbdgBbN9SKAP6Th9oVo8Id4seKknmrl9od46cOT3Kr01+v64wWnWwtUZdjMSVOzlOU7dHWreOWq2HVdMRgVQwyqIHQBkrVJjjdkrXUiXVtaiDcY5v7NFeRk2vj5t8a0aOfsC2mEtQiBkIY3ENYFo1e/eRSIquuvvqeAAb3t+ni7PvlCL12NN64x4rcWYsRSsy6kRlXyxN3jeLnyVMJ1XVEHNYYs+QWhk6NpEYhEW468s/RWPTIfE4EGaPCGEjqRxozWoq2VZMQtz3s5LAzoZWPn4lv45J/vYOfiW8i0mQmENIZlOxmW7UzqbQ7obccXiAa7di6+hb8tGsq2D45TVjyGa3MyWFOSuEWwrrSQnQdPJ7xOcyMbC3QlXtc1g1Ex0v7fgKIo/YEK4Buqqn6c7vEFoSuRLBi1rrQQgJAWZm1pYdRo2kxkOloaw+iSOsKRx2fg9oU45w2y/K9H4/ZFU5L6OC00BqJ7r7GWJsm8zTPnfPR2WCi5YRiLtlWy5YeTWPdWle7FxoJaIwe4OF7nIcNqpnTSV9h1rD4huv+vr6kJr+vxh7uFDmqMtHqoiqJYgKcBbzrHFYSuSvIqokqsJhM//l0lLquZDXMnEghpLcRIigsG8dMZo5m/qYJRj+7g/s0V2MxGLCaTXgoKsLCpCOCVhTczNMvJU3OKWHLbSN1r/MU9BWiRCFoEXZT683Ne3lzyNd3LhWjX0uN1HowGAzaLUU/oP/L4DDbMnUimzUxtgz/RG7WacNnMGA1RPdSubEwh/R7qKuApYFmaxxWELkmyYNSe6noyHWZyMm1YzUZCYY3z/hDZTqtef7+nup5lM67j75+7IA6dk2nD7Y9WUTVvezJVGdBi73XBtDzqGwP4ghqD+zr09ifRrAADy15MzC3NtJlx+0O8UHGS7988ApfNfEE02m5G0yLdyhtNRto8VEVRvgvUqqq6M11jCkJXJxaMiuf63CzcvhCP3TUWgwG0CHj8YbxBjZf3RaPz6mMzEoJIEE1vimUFxHu7325K0G++93rqrA9vQOPh33/EqEd3MH/TXpZOV3jkdoWl2/e3qKQ67wuxdPtHlE76StJ90Jgqf3fxRpORTg/1+0BEUZTbgEJgk6Ioxaqqfh5/0uHDh1tc6PP5kh7vKDrbfCD5c+sI2uPZjB49OqWvdzlcyb2k8hn0699f3yeNl9oLhMPs+bSeydf2IxjWWPbiAQb0svHw7dfxk+f3s6e6nsp//GbCfmhef5cekIqJpax/pwqXPXkt/eC+Dv5uw+6knUtbO/+X3ynAfbaWz86Bq082vZ12znl8uM/W4W5oSMkzaU8u5b1r6/OYNoOqquotsd8VRXkHeKC5MYXkkz18+HCHfqmac2E+xzp6Kjqd5fl0tvfqarmSe0nVM4gJnWTYzKyfPQGXzcwntY3YLQZCGtwyqj/BsKbnhhYXDKKX3cx/zpuIFongtJl4ak4RG5vannzh9rN0usJD2xOX6p6mvdfpYwZw1/jB9HJYOO8NEgiGk4uW2Eyttn3u63LQ2zmYusYAP/pdohzf4EGDO71XerXvnaRNCUInQtMiuP0hwprGF41+7msKKD245UPqGgNcm5OBxWTCajbiCYT0uvvigkEs/aaC3WLCHQjpgagHNldQMmkY6mO3Y7eYkoqeNPrDPDV7AneMG8iDWz7UxzvvC/HvTRkFMWLbDatmFbSa7tSd5Pgulw4xqKqq3iopU4KQSCxFav7GvVTVNLbY71y8rZJPahu5f3MFJoOBhVsvJNUvmJrHy/tO4g2GW1y3aGtlU7K8ibLiMXpkvrhgEHuq6+mXaQMMegRfv25bJTfm5SS2PykpxB+KBqeemVvEkcdm8MzcogQx6NYCaV25AupS6ZrlCILQDYn37For58zr72L6mAEYDQa2/HASbl+ILT+8AX9QY2bR0IQk/vjrnFYTdY0BysoPJQiY5OVk4PaHcNmTG0GX3ayLlrj9ITKsJk7Ue3n8lf2cOR8Vix7c156wlE9W1dXVK6AuFVnyC0InId6zi9cdjXF9bhafn/Nyx7iBzN+0l588X8mXngAGg4GgFmHp9v2c9wVb1RZt7rk+8sJHzLtxOBvf+7TVbIJGf4isDCvnvUHu31SBsvw1lr14gCXfUMjJtPHICx+10C11WkysKx3frSqgLhUxqILQSYg3asm6ja6YmY8WgYq/1LNhbhGP3jla72TqalK9d9nMSa9rTRU/025m3VtVZFjNrG1WPrq2pJAXPzzJ/ZsrcPtD5GTaEozxgql5ughKPEajITGpf97ELtkf6kro3v63IHQhHGajLjjy6oHTzBg7gGfmFumJ8BlWM1okgs2cxRfuAMtePKBXOHmb6uwbA2E9FzWWGvXyvpN8/6YRyZfh/qgRP+8L8uqB02yYWwQYcNpM1J73U/GXs3rwqqx4TELrkrz+rlaX8rGcU6DbL/Pj6Tl3KgidHG9ISxAcqWsM8Jt3P01Qxv/wZ9/Qa+kH9LLx6B2jaQxEBZnn3zICf0jj7qIhCalRv7inAKMBVs7Kb5Ey1RiIRuytJiOz/+or1DUGEtpCr5pVwCO3K1zT26Er8ZfvP8X1uVmcqPf0mKX8pXJVBlVRFKOqqlqqJiMIPZWYotSCaSOpqnFz5ryPpU1eYayKCdCT8E+d9bLsjtH4wxqHT5+jr9NKpsPMmfN+3lFrdA/1RL2HSCSCzWLEZjLqLZ1P1HuiKlNhDZvFwA827qWseAxl5Yfa1DCNBbJKJw0jw2bGbu5+5aNXw2UbVEVRRgCrgYlASFEUI3AA+HtVVY+keH6C0O1prb3J5h/cgNFoSNj7PO+NBp2cViM2s5k/Ha2h6CtZCe1H1pYU4rKZMRigr9OKyx7dMtj6wXG+PWEIhib793LlZ3yrcLCuj9paZkG8hukjL3zEM3OLyLB2z9LRq+VKglK/Ap5QVXWIqqq5qqoOA/4J+E1qpyYI3ZtYEr8n0DIRftHWaM7pmXM+XYP0k3++A6MB1pYUYjObcdpMTL62X9L80ZoGP6Me3cHG9z/F7Q+TYTPz3RuH89KHJ1nyXCUOq4k7xg1MaMjXWmZBcw3TjG5ah58KrsSg2lVV3R1/QFXVP6doPoLQI4hP4ne0kgg/coCL/r1szJ2Si81sJKJFAAP9XNG2IfWNAXo5kncoHZrl5I5xA6PN8zZfkO8rmTSMVX9bgM1sTCgMgOSZBbH20jG6anvndHEle6j7FUX5NfAacA7IBO4APkrlxAShOxOfxB/fQqS4YBALpuaR19/FeW+QsKbhDWqUV37GvTcMSwgY/WreRL2nfU6mTb/uRL2Hz8959eqp+Ij/tt3HmTdluO6ZxozoIy98xKsHTpOXk8FTs6M9qE6d9ertpc1Gg74VIUGo1rkSg/oj4C7gJqAXcB74A/BSCuclCN2a+CT+XZ98wZqSQp77ILHXfcyAvVhxkuljB7J4W6K2qcNqQgtHWD97Am5/KCGCv2pWAdf2y+Cu8UN4ed9JGDuQvP4urpkynAyriYamAoBYGlTM6Db4gvzsvw7qx5fcNpL1syeQabdQVeMm29kz8kmvlMs2qKqqRogaTzGggnCFxJL4p48ZwLfHDyHDZuK7Nw7n/s0VCVH2RVsrdWPXXNv0vDeI2WjAZDTooiex65Zu38/Tc4p4ed/JpEY6y2nVZQFfPXCa2gZ/U/qUIcEjvWv8EP7xvw5Rvv8Uk0dk88vvFNDX5eiQZ9YVkDxUQegAnBYTT82egD+k6RF69bEZrdbvV9W4WTgtj+lNnqY3EMZuNuIPa62KkbjsZqaPHZiQdhUz0k/NLuKxPxxmw9yJOKwmqmrcrHgtqlcU6w3l9oV49r1PefXAab181H22lr6uIel5SF0QMaiC0EEYjRcUnoBW2zE3+kMcq22g5IZhbPvgOIwdyMj+LhoDIRxmk979NNl1raVCuexmyvefYsk3Rulto2PUNvjZMG8iLpuZ7988gh9/faTeskQ92flFojsSqeUXhDQTi/A7mylDxfZSE+rpSwt5r6qWydf2Y1vTHmtZ+SGWPF9JMKThDUUN3drSwhbR+WBY04NW8cRSoSaPyMZlN7Wo4Y9VP/WEliWpRjxUQUgzsQh/WfGYhGW82xfi/U9qo0vu/i7c/hBOq4n/t7US9bEZ+vI9J9PGz/76qwTCEbb8+VPm3TicSAS9Cqqqxs2/vqZS2+BnXWlhixYqa0sKycqw8sTd44hoUbGVZ+YWkWEzd9vmeelCDKogpBFNi+h7nrs++ULvcx8fnbeaDXgCYe7fXEFZ8Rjdo4wt3997ZBoNvhDllZ8xs2gomfZod1Fl+Q5CWkQfy2w0kJVhwxsM8/ScaCpUoz+EpkUwNgWztn5wnNJJX4lWPhkMPUrIpD2QJb8gpInYUv94nYfrc7OSVjkt3b6fRn9YT/Z/8u0q1pUU0sseLSX908NTyellY2iWk29PGMLS7fsJBMOtLu3dvhC//tMx6hsDHD3j5r5NFfhDGjsPnsZuMfLDW0b0GGm9dCAGVRDSRGypv/qNI6wpKWyzdj6+gslkMuAPaUQi4A9peANhTtR7GNzXwYBeNgLhCO9V1SbVM913vJ51b1UxNMtJXn+XXpo6IieThVsr0SKIMU0h4t8LQpqILfVDWoTV9xTg9iePzlfVuNn1yRdsmDsRowHqPVHt0z3V9Wx/4K/IdlkZlu2k0R9i2R2jybCZGZGTqUv/6VVRTWIoMak9fygqDBdLxeopfZ7SiRhUQUgTsWT+nEwbwbCG2WhgXWkhC+MCRitn5fPm/53hznEDCYY1LCYjL1ac5D++U4jVbCLDZuZ4nYefvXyQM+f9rC0t5KzHT15/F3e+VcXqN4/q45mNBn789ZH8+3cKiWiw+o2oGFzMaMcEpl12MQOpQp6kIKSJWDK/xWykwR9i0dZKBvSysX72BFxWM55gmAybiZlFQzAAX7gDDM1yMG9KLv6Qxn2bLkj0rZiZz6rX1WiS/pwivK00xjte5yHbZeU3715I0F8xM5+X951k5ax8jLLpl1LkcQpCmjAaDdjMRkLhiN4wT4tAJAJfegM8+96nfPalj9+8+ylOm5khfRx4AmEi0CJ4Fd/TyWUz4w2GWuSwrpiZz5o3j+jSfUcem8H62RMY3NfOtycMYdVOFbsInaQU8VAFoR3RtAieYFjvCxWJRPSGecUFg1j6TYVz3iDLXjygq/OXFY+htsGP02rSG+C1VpIaW76PHOBC06JCKb0cFj770svKndFc1EZ/CJfdjMcfzQaIr83vCa2d04l4qILQToTDGm5/CIfFxNEzbv50pAZnk9KT+tgMfv6tqAEdmuVMCBRd2y8DA3DfpgqWPFepl5bGEws0rZiZz86Dpzl6xk3eozuY+NibRCJgNBjIy8lgbUkhv3n3U0Y9uoP5m/YSAYwGelRr53Qi/zUJQjugaRHqPIGECqVn5hZR13jhWEwMJRYgigmgNAbDLNpWSU6mjSXfUPiktkHvhhp7rXWlhQRCGi9URNWkVr2uAhcCTmXlh3hmbhG/efdTPVAV6166Ye5EMCAVUe2AGFRBaAc8wbC+TwpR/dJIhIRjMUMaE3l+ed9J5k0ZjqtpS+CVhTfrWwAVf6nXlaFOnfUSCGlc09vBvCnD2fh+YsBp1euq3qpk3VtVCfPaU12P02bCaBBD2h6IQRWEdiCWc1pcMIiHpisM7hvVEI3fC41Xy39bPcP3bxqO02bm6Jmooc3r72JALxuD+9gZOSCq4P/kW8d1KEvDAAAgAElEQVQSUqOW3DaS7900XO+Wuup19cL+qD955F/2TdsPeaqC0A54AmEWTstjZtFQXqg4wcyiIfRyWBIMXPn+U+TlZPCf8yYSDGuc9QZp8IXYefA0K2bmc94X5B/uGM38TYkdTQHWvVWlC0A7LCZOn/NSVn6IPdX1utqUNxjSDfaFrQLZN21PxKDGkfvTVy7j7GPtNg+h6+O0RBX4n33vU0pvGEZQi1BV03IvtOSGYfhCGue9QQ6fPsfNI3P47k3RNiWeQJjeLhtlxWN48u0qyvefYtG2StbPnsCCaSPxBsL8+t1jfHvCEOxmo642daLeg8Ni4v/77/8DoipUw7KdoiSVBsSgCkI7YDQayLCZ+P5NwwlpEfZ+8gVT8nLY+N6nCf2bYjqjvexm+rlsuP0hnt/TsrfUipn5ALx64DSZdguzf7WbJ+4ex13jh7ByZzQgtWBqHgD9XDZ+/e4xXj1wmutzs6KpVxFkmZ8G5AkLQjugaREafCGCYY2+TitTrs3B1RQkqqptZOk3Fd1gVv7jNwCIAH//XKWejxrftiQ+P/VEvYd1pYU4rGZ+/adjekO92N7p6nsK+N5NwxOU9sUrTQ9py0NVFMWiKMpmRVH+pCjKB4qiFKdrbEFIN55gmLOeIAu3VuJuSqyPRfUXTM3TDWZIi2AyGvAGw2Q0Kfi3pkKV19/FutJC+rmsuGxmHBYjJZOGtaiOWvHax2SI0n6HkE4PdTZQp6rqHEVRsoBKoDyN43drLmf/t/pf7mzHmQiuzEyIwLBsJ2XFY+hlt3C0xq0Hmwb3dSQYzLAWYevu48ybMjxBuKR5dL7BF8RoMBDSIhytaSCvfyb9XDaenluE02Lik9pG3vr4DItvGwUQVfwX7zStpLNSajvws6bfDUAojWMLQlrQtAjWzGzmb9rLqEd3UFZ+SI/c3zV+CC/vO0mDL6hXPhUXDMJpi3Yn3fj+p3rl04qZ+S08z3/8r0P8+Hf7MBsNDO7j5L5NFYx6dAf3b6rg8/M+/nzsC2776gCWvXggWhm1cS91jQG0OBV/oX0xRCLpfdiKomQS9Uw3qKr6u/h/q6ioiDidzhbX+Hw+7HZ7u89txsaeEbnfMW9Eu712e7xXo0eP7hAXq7XPY1tcMzSXH/1uf4J3ueS2kZRMGsa23ceZPnYg1+ZkUO8JsG33cebdOBxfMExOpo1Rj+5g+Z2juXvCEDJs0Sh/hi1ag3/OG2DFayqvHjjNkcdn8HcbdieMMXlENs/MLeK+TRUtjv/yOwV8fqL6qp8HpO+72FFcyv219XlMa1BKUZShwEvAL5sb0xijR49ucezw4cNJj6eenmFQ2/NZpu+9Sg+Xey9aJNJi/3PdW1X8aGoe824cTqbdjKdpKf7jr4/EFwjjiUQ4Xudh4bQ8vvHVa7h/cwUDetlYOl1pIdmXl5OBxx9KuscaE11pfrx3hp2+KXpPutv725yrvb+0GVRFUQYArwM/VlX1f9I1riCkE08ruqSnz/mwm414jAYaA2EWN+Wivrnkayx78QA5mTYeu2ss92+Oepg7F9/CQ9tbRvqfnlPEOW9QF6peMDWPvP4uTtR78LUytlRGpY907qH+A9AX+JmiKO80/TjSOL4gtCuaFsFsgLWlLXVJjQZYuK2SYEjjuaZWJepjM+jnsjGgl43y/adw2S94mK1F+l02My9UnGT97Ak8fLtCWfkhlOU7WPbiARoDIZ6aPSFhbKmMSi9p+29LVdVFwKJ0jScI6SSadxqkwR/ixYqTrJqVT2+HFafNRO15P9kuK3uq6+nlMLdI2l85K5/CoX1o9IdQH5tBVY2bz895kyvw13u4u2gIJqOhhQe7cGslG+ZOZMO8ibr+qkT504vooQpCCvAEw3zpCfLQ9o+oqm0krMGv3z3G0TNu+mXaaAyE2f7AX+EJhBNyUHMybVhMRu7MH8h9mypQlkczA8DAv3+nWRfT0kIcVhMum1nPWY0npiTlkhzUDkM2VgQhBTitJl0o+pWFN/PyvpMtPNGn5xQlBI6KCwbxsztHYzEbeXDLhwne5tLt+3lqThFPzynCZTPrOaW+UBiHxURjIHnHVNkv7VjEQxWEFOAJhDlR79Fl96aPHZjgie46VhdV6/deUN9/5HYFf1gj025J6m1m2s1k2EwcrXHjtJqodftx2sx4QxpOi4l1peNlv7STIf+VCUIKcFpM9HVaWDkrnxP1nhZBpeKCQdQ1Bnjug+OsmlXACxUn6OWw4LSa9UT/ZB1L/SGNnQdPU3LDMJY8vz9Bhi/LaZH90k6GeKiCkAKMxuieZV+nlf6ZNhr9iX2gFkzNY/G2SqpqG3HZTJTcMEzfM930fjVrm3UsXTkrnwyriZ0HT/PdG4e36Hq6cOs+vCFN9ks7GeKhCkKK8AY15m/ay5YfTmL7n6tZU1Ko55vGPNZXFt7Ml55ol9OYRxpT4F8/ewKZdgueQAiDwYDDYqS4cHBCOlWMPdX1OK2yvO9siIcqCCnCaTPpTfdeO3iGx185TFnxGD7+p9vxBKIpUYP7OPTgVTzr3qoi027hzHkfBoOBeneAv39uP7et/l+9lUk8sQCU0LkQgyoIKSJm+GK9omob/Kx/p4rPz/v05f2v3z2GJ5C8LXSDL4jTasIfDOm9oa7PzYrW8TcTS5EAVOdElvyCkCKMRvjFPQX85Pn9rH5D5Ym7x9HPZWP+pr3sOlZHccEg7ho/BE8gzMpZ+Ty0Pb7XUyFWkxEtEuHBLZV6b6iovmlUkb+seAwjB7gkANWJEYMqCCnCbjbR24He2+nUWa++DQDowtJbfjiJnzxfqbdCqapx8/grh1l9byH/8T9HWT97Ar0cFo7XeXRPFaC2wc+GeRMlz7QTI++MIKQIo9GAw2rittX/S6hJg3T3sq/rKVGxwNSps17OnPczfc0f9Wsnj8im9ryfdW9VsWDaSBZvq2TpNxVqG/yYjQbpWNpFEIMqCClA0yJ4gmGIoCtBPXK7QqbdzLrSQhZuraSqxs3CaXn0clj47fxJHK/zsObNI5w572flrHxCmqYr9se8UulY2rUQgyoIV4mmRahrDLBw6z4G9LLx798pBMAX1PjBxr2smpXPM3OLcJij+acb3/uU6WMHktffxc+/NZZgOMw//SG65H96ThHvVdViNhqobfBLx9IuhrxLgnCVeIJhFm7dpweerCYTLntUaX/VrHyu6e3g83NeNDts+6Bli+g1JYWM6JfB0TNuysoPsbakEPWx2/EGNfFKuxiSNiUIV4nTGg08FRcM4pHbr+P+zdFeT/M37SUCBEJhejssZNrNSWv8F2+rZN6U4Tz5dhW7jtWxaFsl3iaREzGmXQsxqIJwFWhaBLcvpLeHXrp9f4KxPHDyLA2+EH86WovbF2pdONpu1vdNozJ8snjsiohBFYSrwBMI8+x70W6lyYzl5Gv7se2D40y5Nodn3/tUN77xxAJR8X/3+KUKqisiBlUQrgKnzcS6t6pY9braoj30zsW30MthYe6UXDKazntp30nWNBNCWVtSyM6DpxOEUYzyzeySyLpCEK6CWLlpbLkek+ZLFnhaOC2Psv/+Pz48flZP6vcEQpgMBooLB7Ng2khO1HvItJmxmyXftCsiBlUQrgKjEVbOyufFipNMHzuQa3rZ+N5Nw7lvU0WCAv/ibZU8NbuIXcfqefXAaWob/KwpKaSfy4oBA/0ybRgM0C/TJpH9LowYVEG4CuxmE1lOK3On5HLWEyQCCW1OYsQU+GOeqdsX4v1Parl5VH9cNrOeZyr5pl0b2akRhKskArj9IcorP+PUWR/H6zxJA0+NgZBeu7/x/U+ZmJstpaTdDDGognAVeIJhIhF4aPtHeo7p6jeOtCq35w2GGTnAxfdvHkF2hlWW9t0MWV/0QHJ/+splnV/9L3e200y6LrHa/Zhqfrwqf0wYJba89wai5xmNBlymqA/jtJj066VOv/sgHqogXCax2v35G/cy6tEd+hK/qsatL/XL959i+po/MvtXu4kQSTCWza+fv3EvdY0BtCZDLHRdxKAKwmUSX7sf0iKsfuMIK2fls/Pg6SRL/cIW+6TNr4813fMEJZm/q9Otl/yXu7QVhEshVrsfo3z/KYwGeOyucTisRp6ZW0SGzUyjP4TDbMJkMrZ5PUjTve6CeKiCcJl4Ai2b5p057wciVNU08pt3P6XRHyLDasZsbvkVS3a9NN3rHohBFYTLxGkxsa40sXx05ax8vIEwOw+epuSGYW0GmaLXj5eme92Qbr3kF4T2wGg0kGE1672jqmrc/OtrKrUNfsqKx7BoW2W095Mpub9iNBrIzrCyYd5EifJ3M8SgCsJlomkR7M16RwGYjQY9depi+6FGo0Gqo7ohsuQXhMvEEwxz5pyvVRk+2Q/tuaTtv0ZFUYzAL4ECwA/8UFXVqnSNLwipwmk1cc4TYOWsfB7afkFRasXMfF7ed5I19xbIfmgPJZ1rjbsAu6qqkxVF+SvgF8C30ji+IKQETyDMNb0d/OT5Sr0aqsEXxGUz8/2bRvDlF59j7D2ko6cpdADpNKg3Aa8BqKr6Z0VRJqZxbEFIGU6LCbc/xJnzfqav+aN+fPKIbDbMm4i7oaEDZyd0JIZIJD3lboqi/Ap4QVXVHU1/Pw6MUFU1FDunoqIi4nQ6W1zr8/mw2+2XPeaMjceufMLCFfHSvYOu6L1qi9GjR3dI+Lu1zyNAv/79iVgzWLS18oKI9L0FBBrq+KK2NuXPoLNwpd/FrsKl3F9bn8d0eqjngcy4vxvjjWmM0aNHt7jw8OHD+nGpfurc2O32pO9hV6Wte9G0SMvUp95DcDc0dKtnEE/8d7E7crX3l84o/3vAHQBNe6gH0ji2IKScWOqT0WCQls8CkF4P9SXgG4qivA8YgO+lcWxBEIR2J20GVVVVDXggXeMJHUN03/rS965Fa1XoTqQtKHUpVFRUdJ7JCJ2KoqKitK+n5fMotEZrn8dOZVAFQRC6MlJ6KgiCkCLEoAqCIKQIMaiCIAgpQgyqIAhCihCDKgiCkCLEoAqCIKQIMaiCIAgpQgyqIAhCihCDKgiCkCLEoAqCIKQIMaiCIAgpQgyqIAhCihCDKgiCkCLEoAqCIKQIMaiCIAgpQgyqIAhCihCDKgiCkCI6lUGVlhNCZ0I+j8Ll0qkMahOR5j/V1dUtjnXkT2eaT2eaSzvOpyPpLM+gU/x053u7jPtrlc5oUFvg9Xo7egoJdKb5dKa5QOebT0fQnZ9Bd743uPr76xIGVRAEoSsgBlXoEDQtgtsfQos0/am1uZIShC6Bub1eWFGUScAKVVVvVRQlD3iW6P7DQWCBqqpae40tdG40LUJdY4CFW/exp7qe63OzWFc6nuwMK0Zj0nbngtAlaBcPVVGUh4FfAfamQ6uB5aqq3gwYgG+1x7hC18ATDLNw6z52HasjpEXYdayOhVv34QmGO3pqgnBVtJeH+glwN7C56e9FwP82/b4D+CbwUjuNLXRynFYTe6rrE47tqa7HaTV10Iw6J7k/feWyzq/+lzvbaSbCpdIuBlVV1RcURcmNO2RQVTW2SdYA9G7t2sOHD7c45vP5kh7vKDrTfDrTXODS5nPN0Fyuz81i17E6/dj1uVmca/Tx+YnqFuePHj061dO8ZK7k2XbUe5KOMTvb5y3VXMr9tfV5bLc91GbE75dmAmdbOzHZZA8fPtyhX6rmdKb5dKa5wKXNR9MirCsd32IPtbfTSt9OdC9wZcY8de/Jscs6Ox2fg872eUs1V3t/6TKo+xRFuVVV1XeAGcDbaRpX6IQYjQayM6xsmDcRp9WEJxDGaTFJQEro8qTLoP4E2KAoihU4DPw+TeMKnRSj0YDLFv34xf4UhK5Ou32SVVWtBv6q6fcjwNfaayxBEITOgCT2C4IgpAgxqIIgCClCDKogCEKKEIMqCIKQIsSgCoIgpAgxqMJVE68cdc3QXFGOEnoskgAoXBWiHCUIFxAPVbgqRDlKEC4gBlW4KG2JQYtylCBcQAyq0CaxJf38jXsZ9egO5m/cS11jQDeqnkCY63OzEq65PjcLT0A8VKHnIQZVaJOLLemdFhPrSsczeUQ2ZqOBySOyWVc6HqdFPFSh5yFBKaFNLrakb64cda7RR2+nBKSEnol4qEKbXMqSPqYcZTQYdIFoacAn9ETEoApt0tqS3mE2JjWarszMNvdcBaE7I0t+oU2SiUE7zEbqPcGkuaeuPtn86Hf79PYmsT3XDfMmiu6p0O0RD1W4KPFLepfNjDektRqo6u20SxqV0GMRgypcNm0Fqtz+EAun5SX8m6RRCT2FtK3BFEWxABuBXCAMzFdV9eN0jS+kjligqnnX0qNn3JSVH2JtSSEA696q0rcDJI1K6Amk00O9AzCrqjoF+DnweBrHFlJIskDVipn5PPl2FbuO1bFoWyXfu2k4Rx6fwYZ5E6WuX+gxpDNKcAQwK4piBHoBwTSOLaSQ5oGqo2fcrHpdpXz/KSC6/M+I23MVhJ5COj/tbqLL/Y+BfsBfJzvp8OHDLY75fL6kxzuKzjSfdM7FlZmJq082vZ12znl8uM/WEeyTTVn5oRbL/3ONPj0n9WrpyD7wV/JsO+rzkY4xO9Nnvz24lPtr6/OYToP698BOVVWXKYoyFHhLUZRxqqr64k9KNtnDhw936JeqOZ1pPumaS6ym/0e/S0yV6uWwsK50PFt3/4XpYweS199Foz9EhtVE307yjK6GK3m2qXtPjl3W2en4HHSmz357cLX3l8491C+Bc02/1wMWQCIVXYTWavq9IY0sp4WSScMoKz+EsnwH92+uoN4TlGR+oceRToP6b8AERVH+BLwF/IOqqo1pHF+4CtpKlfKGNBZtrRRNVKHHk7Ylv6qqbuCedI0npJbWUqU8gbBoogpCExKCFVpF0yJ4glGDaTbA03OKyLCZqapxs/PgaUonfQWnxdSmsZUof/rI/ekrl3xu9b/c2Y4z6blIpZSQlHhh6SXPVfJFY4D7N1egLN9BWfkhSiYNI8tpwWg0iCaqIDQh7kMPIN7T9ATCOC2mpIn28ec1BkJs3f0Xdh2rY+fiW3ho+0cJgieLtlZGBU9MxsS8VIsp+hqtjCEI3RkxqN2cS+1Kmuy8FTPzqaptJK+/66J7pDEBle6eViMIbSFL/m7OpXYlTXbeIy98xD9/exwNvuAl941yZWaKuLTQYxEPtZvRYnl/iRH41s5zWE08+dYx1s+ewFlPkKFZTk7Ue+jrtLTYI9W0CNbMbOZv3NumNywI3RUxqN2IZMv2p+cUXVIEvrVIfVWNm6raRjyBMMtePBBnKAtbjO8Jhln83H4Rl26Dy4nEC10PWfJ3I5It259971PWlhZeNALfloLUgql5/OT5/c22DSpbbBtIPqrQ0xG3oRuRzKCte6uKBdPyElqYJIvAN1eQOnPOhxaJ8G/3FmIwcEmGUvJRhZ6OeKjdiNY6lPqDGsRiQxeLETX9e4bNzAsVJ/nJ85Wc915aUMppMbHm3gLJRxV6LOI2dCNiy/b4PdT1sydw1hvkJ8/vT9j/zM6wXTRtasPcIjTAZTPz9Jwi3quq5f9trWxVhd9oNBBoqLuoNywI3RUxqN2EWHQ/22XlmblFOCzR/k7eQFjf/wT0/c/mgaL4/VeA6WMG4AmEWbStUjewa0sK+fjnt+MNhcmwmpMaSndDA0OHDAGQZb7Q45BPfDegtaT8QX3sZNot+v5nccEgFkzNI6+/C28gjKZFdKMY23+NnTOoj537NlUkVkdtq2T97An0clgwGsTrFITmyB5qN6C1pHxfUKPBF2ThtDyKCwax9JuKrlk6f9Nevmj0EwpHzwF476fTeOT26ygrP0SGzZw0ENXLYZEOpoLQCmJQuwFtJeU/uOVDSm4YxrIZ1/HIC9F6/DvGDaSseAzZGTY8gTC/efdTRj26A28gzNLt0e2B1gJRjf6QBJkEoRXEoHYD4qP7xQWD2Ln4FtTHZtDgC5KTaWPRtkoG9LbrS/p4T/X+zRWU3jCMt5feyrBsJ2XFYyguGMTL+z5jbUli/urakkIcZgkyCUJryB5qFyKZahRciO5v3f0X7ho/hEde+ChhL3X1Gyoef9ToLpiap3uqADmZNvxhjYd/n3jNqtdVAH3PtNEfwmI0iDEVhDZIq4eqKMoyRVF2KYpSoSjKD9I5dlcnXp901KM7mL9xL3WNAVyZmXpS/vduGq4by/i91MW3jcJogHWl41soRy2YmqdL88Vfs2BqHjsPnSEQ0viP/znK+J+/wfeejY4pgieCkJy0GVRFUW4FpgA3Al8DhqZr7O5Aa6pRrj7ZQDQHtLVA0rBsJzaLkewMK55AKGFvtDVpvpEDXDwzt4htHxxn9ZtHE8ZsDIialCAkI50e6nTgAPAS8N/AH9I4dpentcBTb6dd/3trlVIefxhPIIwvFN0uiK/tP1HvSXrNeW8Qp9XMureqWozptJoTvGQxqoIQxRCJpOfLoCjKBuArwF8Dw4Fy4DpVVfUJVFRURJxOZ4trfT4fdru9xfGOoiPmc83QXH70u/0JdfKTR2TzZGk+Z07+BYhqkWZm5XDWE9Jl9lx2E4/94TBnzvtZW1LIjoOn6Z9p48a8HDJsZj4/58VgMLSopPqnPxxmwdQ8ysoPtRizrHgM09f8Uf/7L79TwOcnqoH2eTajR4/ukI3b1j6PF6OtZzBj47GrnVZK2DFvxBVd19m+i6nmUu6vrc9jOoNSdcDHqqoGAFVRFB+QA9TEn5RM7b2zqcB3xHw0LdKirHRd6Xgaz9WiKNfhCYaxm43UewIJMnurZhWgRS4k5j81u4if/ddBjp5x84ObR9DbYcVhNfLU7CJcdjMn6j04LCbK958CYMXM/BZBrljACpq85Aw7fZueR2d7r66WK7mXtp9B5zCoV/oedbf3tzlXe3/pNKjvAosURVkNDAQyiBpZ4RJorgYVi/J/dg7qGgNs3f0X5k0ZzqKtlQnVTUu376eseAzl+0+xp7oel93Mgql5rH+nCk8gxMKtlQmeaU6mjSNnzgPoRvWJu8cxLNvJeW+QTe9X68dB1KQEIZ607aGqqvoHYB/wAdE91AWqqkrJzWUQ69tkNDT9aTTg6pPNwq37mD52IC578qDUyAEudi6+hYXT8qiqcXNtTgZlxWPIyrBRVjyGO8YN1Gv8axv8DO7jZMltIzEbDdQ2+MmwmYhEIpSVH+Ku8UOaqUkV4jBLOrMgQJrzUFVVfTid4/UEejujCft5/V1U1biT6pF+9qWXsvJDrC0tJMthpd4TYFGcZ7piZj4Arx44zdAsJ7N/tZtn5hbx46+PpNEfwmExUVXTyJnzfla9rlJWPIa8/i5O1HswGQx4QxoukxhVQZBvQRdF06JpSxjgzSVf46zHTx+nhXXN1PlXzsrHbjZGK6a2VuIOhPRtgeZ5p7GWJ/GR/Ps2VfClJ8DQvg7Wz55AbYOfO9f9idm/2o3ZZCCsRXBY5GMkCCCVUl2SZOpSa0sKee6D48wsGsITd49jaJaTqho3//qaSm2Dn/WzJ5Bpt7Sqvp/X36UHnGKGNb7dyRN3j8NpNbGmpJB+LlvCaz8zt4hMuxhVQRCD2oWIlZ4SIUG7NBbBLysewzW9HSjLdxCKyw01Gw1k2i0oy3fw5pKvJd0WaPAFWf1G1ECumlXAitc+1v99T3W9vhVQVjyGSf/8PwmvnSEBKUEAZMnfJdC0CG5fdHn/RYO/1ST/+H3UeOI9ztVvHGHlrPwWoif+kMYv7inkibvHYbMYkl4fG6P5v4mcnyBEEdeikxMOazQGwmTYzBw942bnwdPMu3F4qy2fn3y7qs3c0fL9pzAaYMPciThtJty+EM++9ymr3zyqv9bkEdk8cfc4Xj1wOuH663OzcPtDTB6RnZALK3J+ghBFDGonRtMi1CWJyL9fVcva0sKE42tLCtn2wXFePXCavJwMPVHfEwjxm3c/TcgdPXPez5eeAA6rgwxb8vLSYdlOjjw+g+N1Hn0rYOWsfExxxlh6RglCImJQOzGeYLhFov4jL3wUzSF1WtkwdyIOq4mqGjevHjjN9LEDWTBtJN5AmH946QC1DX5+NW8iJTcMY9ex+gTj+9lZD5l2M70cFt5c8jVWv3FEN7rX52Zx9EzU210wNY/V9xbi8YdpDIQIaxEy7RdyYQVBuIB8IzoZ8ZqnRGBAL1vCv++prufanIxodZLdzPE6D0++XaUbw1itfW1DtHYfYNsHx/Xc0aoaNxV/qacoN4sHt3yoG9mVs/IxGqLea2yJX77/FLUN/ha1+80b/AmCEEW+FZ2AmBF1WIzUNSYu8VfOykeLXCgDXTgtr0VifrwxXFtaSHaGlafmFPHShyeZOyWXdW9V6XukxQWD+Pm3xvDglg8TPN+Htn/EhrkT0SIRnn3vU149cJrJI7KT1u47rbJnKgjJEIPawcTnlJYVj0lQd4o3dAum5rHz4Gm+e+Nw7t9ckfScCBGMBtjy578wc8JQ5kz+Cm5fCPWxGVTVuNn1yRdMu25AQifUGLEeVD95vpLFt43ix18fqQespHZfEC4NSZvqYOKFo1sTe3ZYTZSVH6Jk0jBcrYhIO20m3j1aS1iDOZNzaQyE+Pycn/s3V6As30FZ+SFmjBvIy/tOtpla9XLlKW5d9Q5/t2E3kQhJavclqi8IrdGmm6EoytuArdlhAxBRVXVKu82qBxGfUxozdDmZNhZMzdPr5T8/540m72+t5Ok5RUlTps6c81H0lSzu31zBnup63lzyNZa9eCDBk13clPx/sdQqiBrpTIeZn/3XQV1tSqL6gtA2F1u3/RTYAHwbCLX/dHoeMZX9nEwbLpuJp2ZPoMEf4qHtF4zdqlkFlP3NV5l8bT9cdjNPzS5i4/ufsu6tKt0Ymk0GFsZlBAzNcraa/B9bwscCVclSq2Kq/bUNfpy2aIBMlvmC0DZtfkNUVd2tKMpmIF9V1ZfSNKcehdNywYgu3f4R//q3+Tz8+4n4ZY0AACAASURBVI9aaJo+PaeI+sYAkQh86QkwZ0ouP5qah9sf4uV9nzF3Sm6CAW1NeaqxKTH/1QOnqW2IRvSP1TYkTa1yWc2UFY8hO8MqXqkgXAIXdTlUVV2Zjon0VIxGAyajUe88OqiPI6ln6bKb9eV8LLJvMRro5bDw7fFDqG3wJxjQJ9+uYuWs/ARPd+WsfILh8IUlvD+ar1q+/xRlf/NVvWX0eW8Ql9VM3vIdcWlSst0uCBdDviUdjKZFcNou7KOeOutNGjA6XudJkNx7aPtHgIFRj+7ggS0VGA3wy9kT9ABSbYOfTJuZp+cUoT42I1qjbzLy2z8fx2gw8B//c5RwJEJtgx+z0cDOQ2c47w2xeFslD275EHcgJEEoQbhMZFOsA4mmTPlp9F/YR7WbjS08y3WlhTz+yuGEa2OR/XiJvdX3FCT0hjIZDYS0CAYgK8OK02pi+thopP+u8UN4ed9JvYw0vsR0bUkhLps52m6lKQgVX3AgwSlBSE7aDaqiKP2BCuAbqqp+fLHzuzPRlKlKcjJtrCspxGI28uCWD8nJtCWo4jssZs6c9ydcG1Pij7Gnup7+vezM/tVunrh7HBk2Ey98eJLZf5XLiH94leKCQXrmwOCbRvD7ihOc9wbRIhGIQB+nhVWzCviktpFtHxznezcNJ9NuAZLrr64rHS97q4LQjLQu+RVFsQBPA96LndsTiE+ZCoQjesJ9+f5TTF/zR679h1e5bfX/YrcYWTWrICEf9Bf3FLBy54U0p3iJvWHZ0dbHrx08w4l6T4txQ5rGtycMpmTSMO7fXMGo5Tt4cMuHnDrr48m3q1j3VlWCxml8ruwFj3hfVJtVEASddHuoq4CngGVpHrfToWkRGgMhrs/NYsHUPL07adIc0/M+tAj8dv4kPP4w3mAIIuj7n80l9hp8IbbuPs7qewswGwwsuW0kd40fkpB3GlOnSia8UtvgT6iGak1/VUpQBSERQyQSufhZKUBRlO8CQ1RVfUxRlHeAB5ov+SsqKiJOp7PFtT6fD7vdnpZ5XgpXOx9XZibWzGxOnfMyuK+T7AwbyvId3DFuIEu/qSQYvvWzJxAMawntnmOpToXD+tLLYcHtC/HSvpO8dvCM3ojv5FkvGVYTrxw4zV3jByfU7sMFEZWY6AlE1ffVx2bwRYOPQEMd7oYGAK4ZmsuPfre/xfW//E4Bn5+oTumzScbo0aM7ZF+htc/jxWjrGczYeOxqp5USdswbcUXXdbbvYqq5lPtr6/OYTg/1+0BEUZTbgEJgk6Ioxaqqfh5/0ujRo1tcePjw4aTHO4ormU98UKfRH6KqpoHBfZxs232cuVNyuT43K2nCfTCk0egPs+WHkzh11ovRANf0dtDHaeHZ9y4k968rLeT2sQNxWsws2b6f8v2ndKPZWu1+cvX9EDmZdoy9hyTMfV3p+BZ7qL2dVvo2ew6d7b26Wq7kXtp+Bp3DoF7pe9Td3t/mXO39pc2gqqp6S+z3OA/189av6Pq0pSL19JwiXeSkqrZRLwWNJdyvLS2korqeiblZLHvxQEIu6U+er9Rl9qpqGynff4qFW6Nlpf1c0bLV8v2n2FNdz8gBLs57gyyclpegyh+f5B+/DZAsem80GsjOsEaj/hLlF4RWkbSpdqK5itTOg6cTNEld9gsiJ+X7TzFhWB9dMNrtD+GymRg7uE9COWks/zS2VI/tecaMZ+y1Y55nTCi6rPyQro0a82h/cU8BEOGZuUVk2Mw0+kM4LSZMpuRxSqPxgqC0lKAKQnI65JuhquqtHTFuOomPjF+bk9EiKPT03CIWTstj+tiB5PV30egP4bAaOVHvoX+mjRP1XoZlt16P3/z363OzcPtC7Dx4GsYOTNAyjXVFfXpOEQumjaSqxs2/7PiY2gY/T9w9DgMGPUVKEIQrR1yNFJJMbb+4YBCeQJhHXkisz/+kJlo/v2hbXF+o0kKG9HHgCYaprnPTz2VrtRlf/O+TR2SzpqSQ9z+p5d4bhtHPZaWseAxvfXyGBVPz+Ld7C6mqceO0mvjsS6+u8G82Ghia5cQgK3dBSAlSepoiYkv8+Rv3MurRHczftJel0xUeuV1JqmHqtFpYtK0yIbdz0dZKGgNhnn3vU746sDfBsNai5fPKWfmsf6dKb/98bU4G62dPoJ/LyoRhWTz3wXEamjzVadcNoKz8kK6HWtcY4OV9J1kwNQ+IGuSa8z5pAy0IKUI81BQRv8SHeCX9Is77ggnL+6oaNyNbEZN22c1MHzuQRdsqWVNSiM1k5Im7xzE0y0nNeR+9HBZW31uI2xdi+csHE3pJrZ89oamk9DPm3TicB5op+8f0UPP6u3Tj3MthwSG1+oKQEsRDTRGtJr/bzOz65AvmTsnFZo4+bpvZiNsfalU1P6bcn5NpI8tlJdtlxWAAl92M0QBuX5AMmzlBv3RPdX3U2L6hsvPQGTLtyZX98/q78AbCrJ89gVU7VRxWidYLQqoQg3qJaFoEtz+EFolwzdBcNC2xIMLTJHASz8JpeTT4QkwfOxCDwUB55Wcoy3ew7MUDBMJh1pYWJiznV8zMZ+fB07qWqccf4gt3AG8gzN9t2M3/396Zhzdx3vv+MzPaLFssBkNZ6xCTaS8BBM5SErInhxDu4bTkEOx7gLZ0ucklh3DTdMvS49NCOSnEBd+mhKRpm+WUrJBDAgmEljbrzWKWAHXHmELACTHGTrBlSSONpPPHaMaSNyAxluS8n+fx89h6pNE70szP7/t7f7/v957n9tHQolPgcRLQDWZPHmm/l1UGteyrE1k1dxINJ8NdBuyAbgBmm2tDiy6W+wJBLyKW/KfBqcRB4vEEsXg8TSVqydUllF08lptTNEytulGAQDjG6MF5rFtgli3VHQ+kqUCtnDsJkAhFYvx4w16KfG5uvy69iyrN7bTMz4adZrdUVbkfj1Nh1dzJ3PH0Hvv5q8v8PLerngVfKeZIc1BI8wkEvYwIqKdBV/nRJet32f70wUiMmzuoRAV0w85hWkpPowbnsWLOROKJBPluhy3kHIrEKBlWwPBLiilwmznUVVs1Kuf5GeMyS6c2L7msU6WA5XZqxOM8t+sDKp7/KwBL1u9mxZyJrN5ea4tJf/BxiOWba2hs1fnalNEMG+DG4xDLfYGgNxEB9TQ4lTiIJRB9w8QRFLgVQpEYPo+DX/zzJP5Y08B1/+ML3PH0HoYPcHPHDDVN63Tt/KlIybqlhhadn+zYb7eNBvUYHyQFp7tzRPW6Fc67axtGSgrCUpyyNq9+9ccDdkH/mnI/+a7uC/gFAsGnRwTU08Ay0uvKnynf7SCox1hydQn/8pUvEorG+M6j79oB88GFpXz3UXOmunXp5bbVCUCRz02ggyHf6jI/lTdNpi0SQzcM28rkaHOwyzG0hKJdPm51SP3inycx2z+KW68Zb47X5RCzUgHFP9p8Rs8//B+zztJI+hdimnIaeJ0KVeVT0jaQ1pT5+d1rhzjvrhdpixh849JzaA2bwbHI52bzkst47FsXkZ9Sg9pxlrn4qhI7wFq1qEuf2M3BxjZufqyacDRBSVE+PreDYT43VR02sdaU+3nz4AnuvTG9VnV1mZ/7d9TxzuFmRg7K49rKvwCIYCoQnGXEDLUHUjuf8pwKD3/jAjxOhUDY4PevH6Jy+wFmTx5JxIhT5HOT73YwfED75lHF7AmMGpRnzyA7OpF2t4wvGVaQ5nZqxOJ81BJi675jrFtQSoHbwZHmIIoEE0cPYkN1fXvuNinlZ6UNrPds0w3RXioQnGXEDLUbuup8atNjtj991Z/qmD15JD+8/kv84Jn3ONAQ4GhzkKXXnmdvHpUMK+BkKGJ3O639c11a55O1jE8ltbXUKvR3OxVKhuUz94Ix6NEYv/rTAWRJ4t+fr2HVVo1F08cxfrgZTB954xDLNteklWFZKlICgeDsIgJqN3Rr+xGJEdANllxdwvdnqNzxtCm8fP+OOvJdSpqgSd3xAM9W19vdTvfd5MepyKxbUErt8pmml1QXtaj376gDzODaGjKSnUwS0ViC9W+b+qmrtmls2vMhDS068USCUCRGvlth4SXF1C6bydr5Uxk5yMOi6eMYku8Sm1ACQR8glvzd0N3Ofp5LYf5v3mJNmZ8hBa40CT6A5V8733YwLcx3smj6OLxuBVfYIJFI4HEqeJ0KBxoCbN13jG9fNs5cxnscdiphy95jdp72jYONfHnEQHQjbm8y+TzOtOe4FIl4AhY8/HYnVf2HFl4ggqlA0EeIgNoN3e3s1x0P2HJ4Dy4stYPn4qtKKCnKp1U3+H//y9QeDUfjLFnfvuNviUb/6/rdtiZpAnApkq1H+s3p53DrNeNpCUV58+AJJo4ehFuRqXy5lncONzNqcB5B3UBbNpPWcBSAk2EDlyKzpsyfpl5VVe4Xvk8CQR8iAmo3WDv7qd1Rlr4omLPVfLeDB+ZPpTVZ+lQxe4I9i4zFE/x4w960Qvzb1ptBuHb5TBpOhslzKSQSCeJI5DlNYWlfcqY6IM/JZeOHcTIU4Weba+xNpiNNQdwOmVA0htfl4JnqoyyYVszSJ3ZTUpTPAwtK8XnMUi5JAtMzTOzsCwR9gQioSVJ39C2LjyH5Lh5aeAFet8KRpqCdt4R2QWenImPEEjz+7YuRJOxSpUQikabQf/+OOrbsPWbbM/s8TiQJOyAmEgkaWnQefeMw35x+DolEgmDU4I5kjapVJvXzzTVUzvMT1A3cDpmX9jXwtSmjKSnKp/yisQTCRlq765pyP0Pz3aJcSiDoA/osoKqq6gR+CxQDbmCZpmmb+ur9e6KnXn0k2HP0Y0YN9qbZNq+dPxUjFkc3Erbn0/bbr+DC4kI+OhnCqchUbNqfNrstKcpP2ps4SJDg3UPNvLSvgSvOG0aeU2HG6ldwyBK3XjOeDz8JpZdD6QZGLEZDi04gbPB6nZlbtdILt14zntaQwfq3D3WaFVstsgKB4OzSl3fZfKBJ07QFqqoWAruBrAioPfXq5zlkzhlagBGPs7rMbNv0us1luR6Ps/SJds+nypdrk4Ilki0ebR3vh8++x7oFpTgkiUg0ZguZ3HvjJCpf1rjvJjMwXlhcyAcfh8hzycz2j2JMoZejzUHyXQrr3z7CmjI/r9c1cmlJEdFYjHA0wb/+obMAizWTTm2RFQgEZ5e+3P59Grgn+bsEGH343j3SU69+KBpHN+JEjQRFPjcnAhFuf3I3//uxamQJrj9/OFuXXs7Bn9/A4qtK+GNNA8MHeroVjz7eqhONJ5j/lWIqZk9g1TaNhhbdtjK598ZJbNxZjyLLKMll+iCvk8ICFwsvKaYw38W4Ih9el8KJQNQu27JKu3747Hu2Ij9Y1tBCok8g6Av60kY6AKCqqg94Bri7q+fV1NR0eiwcDnf5+GelwOejYNAQnA5nt736eU6FYBRuf2pP2izwT39rwIglWDCtmCNNQdvaeeXcSbQlxaO7Op7l4fQvD72V1r8/JN/F2vlTKXA7WDR9HB6nzJSfvgyAQ5aoXT6TWx7fmfaac4vyu+20slITq+dN5uPGjzja2trrn19XnI3vKpM+8J/mXM7W9ZpJrPPpj+eWyumcX0/XY58m1lRVHQNsBH6tadofunpOV4Otqanp9ZvKypv+nz/sYvgAd5qWqeVRb8QTBCMxbutg5fzcrnrmXTSWpSklSlYFwPeffo+Hv34Ba8r93LZ+d6fjHW0OUphvmuiNH17AkaYgy5O7+GDWjq6YM9GenYIZjI80BTvZmaydP7XLwB2MGNQun2lvrskDR/fqZ9cTZ+O7yiSf5lx6/gz+/tkGlCGs8+lv329HPuv59eWm1HBgG3Crpml/7Kv37Y5gJD1v6h8ziLXzpzIgz0mbbhA14jhlmbwu0gEzzh+Rlju1ltoVsycwq+pV3E6Fv9QeTyvYT5AgGoszyOs0KwA27bfl/FI3u1bOnYTHKROLYz9WVe5n+eb0/5qW5UnHwF1VPsUUQZEksRElEPQxfXnH3QkMBu5RVdXKpc7UNC3Uh2MAzNmppWEKMHvySK7+0nBueXwnwwe4uft/fplAOMbYIS5aw52X7z2JmlxYXMjR5iATRg7iJ/+1j8p5fhyyBEgosoxDgh88u9fevY8aMbt2tE03iBgxfvaCWRpVu2wmB44HiBhxGlr0tPezUghSpI2Hvn5BWrmXKJESCDJDn21KaZp2m6ZpX9A07cqUnz4PpmDu6h9pahcmWXxViS1o8v0ZKuFonB9v2MvtT+4GEqwpS++3b+vGYO94S5iqcj9ORbI3m9p0s4vpeKuOEYvjkGW27D1Gxab9tIajtCSV/c+760W++2g1RhxWzZ1MSyjKsZMhZqx+hWer6zuNYeXcSSiyxInjxylwt89IRTAVCDLH57LJ2+tSWL291tYRTZ1xDsxz2fWflfP8JBJQ/X4zFbMnoC2bScXsCRixeJpqlBXgBuY5Wf/WEa5Y+WcaW3Wqyv20hKJIssSQAhdvHjxBIGK2jT64sJRQSn62ox7qLY/vxOWQuf3a8ZRfPJYX9x1LG8OqrRoeoSAlEGQVn4skWywWJxiNke82l9WKJNHQorNqm0bF7AmEkn37RT43eS6Zr04ZnWaGZ204WRtHB39+Az99andaJ5TlATXj/BEsvno8R5uDRIw4dzz9HivnTsLndiTTAPvZsvcYtctn4nV1b/Vs1sKaG09tusFL+xr4t01/tZ83bdwQUQ4lEGQZ/X6GGovFaWqL8N1H25fVn4SiVJX5aWzVmVX1Kr997e88MH8qP58zkWAkZi//u6vtPNocpKFFZ8bqVzj3zi3MWP0KDS06DSfDzKp6lfm/eQuvS2H4AA8r5kzE45RxKDKSBL+c52f77VfQFNBt8edUOuqh+jzOLpf8wrFUIMg++v0MNRiNdepa+t5TphK+1acfisQwYnFi8Tg+j/OUtZ0+j6OTRfMv5/nxeRzULjPLlU6GIkiShG7EWf1CLZXz/PzgkfZZ76q5k3nz4IlO5VqpAiwXFhcSisRYdNk48hyy2HwSCLKcnA+oXYmapAaaVE8nC6traeu+Y0w7dygD8pyEI5h1p3rXsn1WbWfDyTA/e+GvjBuazwPzk7vzEQNJknjnUBPrXjnEijkTuXLVn+3XTxs3hNawkRbU73h6DyvmTDSl+W6azPCBnk56qFXlU/C62s+nIKlrKsqhBILsJKfvzJ5ETawgZO3I25qlwwpoDUeJxxOUFhfapVJ3zvoyt63f3WWRf1W5n7s27gPg9uvOo3KenwMNAR554xDlF48lnoAVW2poaNFZU+5Hlswgar1+5dxJRIz0fKdl9bz0id22NN9DC0vtHGwwIhxKBYJcI6cDak+iJtYszutUWDt/apd2zU++fcS2d07thoonYMWciYwd4iWox4AEsgQNLTpup0xjq8744QWMGnQOiiwRiyeonOenuS3CYK+T7z21p9OGlSV+YmFZPaeKmOS5HLbiVO3ymciSCKYCQS6R0wG1J1ETC0mSUGTJtmuG9tbNitkTqNx+oFOh/qY9H7Jl7zG0ZTOJJRI88voh7pr1ZeIJ8LkdtOoG8XiC8yu2AWZHk7bselyKTCgStzesLKaNG0JANzrNWn/xkmY/J3UzyhI0EUt7gSC3yOk7tjubEiuXGozEyHPJ3eZRxw8rAOhk72wdp0032LiznsrtB3jz72YtapHPzbceeZeK2RPs5y65uoSmQITbnug6ZXDvjZN4ble9vQnW2KIjS3RqOV21VRM7+IKspPhHm1P+OrUeweH/mHX2BpPF5HRA7cqmpKp8CnkOmaa2CO8ebmLqFwtxO+QuA6Y1a7TsnTumBDbsrKfiebP209rpbwlFWVPm54m3j9jB8OuXnMPNj1d3mTI40BBg1TaNxladOVNH0xqKsvRJM/C2pxUMZFkylfjFDr5AkLPkdECVZcm0KelQThSMxlj/1vt2oHvsWxdx742TOhXr57sUHphvCpicCOisW1BKvttBazjKo28cpnL7Afu9rBmrxyGTABZNH8fiq8dTdzxAgcfRbcpgVtWrthVJxIjx78/XtAfSSAwSUOBx2q8Vy3yBIHfJ+btXlttVleyNKJfCjPNH2IHuYGMbW5Otm9ZG0XO76ll4STEVm/bbOqaKDD95ah/jhuZTdtFY3vx7c5o3k0OWcMgyAzwKH34S4juPvmdvanU1A24NR9GWzaRNN3AoEndu2Etjq276SiVE8BQI+hv98o4ORmJ24LywuJD7d9Rxxz+oaTPUNWV+dCPOfTf5qTse4BcvmcvyhxZewAefhKh+v7mTgyhA2IhzIqCzafcHdnF/VymDNeVmoX8wYuBSJOIglvT9kPTcYiq5qXsq+Gz0y4DqTVoyb913zF7qV76s2UvtQNjA61L40j0vYcQT9uscsoTXrTB+WAHDB7jJdykEwgYnAmH+4ZevsuTqEhZdNo7BXidzSkfzbPVRe9YbisaoKvczpMBNm27w2oFGSosLKcxz4XC0d/iKWalA0H/pt3e3LJlOoA0nw6yaO4kvDMwjEDaD7GXjiwh0Y1NypCnYqcvpgQWl/O2n1xOImJYoOjAwz8mi6ePwuhU++DjExp31zCkdTWOrjsepcMt/7mLauCE8uLAUn6PfSyYIBAL6kThKPJ4goBvE4nFOtOl8JymGcvtTe3A5ZD46GeKRNw5R+sVCPA6FNt1g1dzJHQRH/KzeXpt23HcON1PgdtAWiXHL4ztR736Rbz3yLh+3RXmm+igHGgKMHJTHwkuKcSsyK7bU2LPQdw43m/lSgUDwuaBfBFSzBVXnO4+8S93xtk4ao0vW72ZgnotvTj+HAreDx996n0vv3cGz1UdZt7CU2uUzWTFnYrfK+NZOfkcFqmnnDqVi036a28x60p9trrEdTK3XtulZY+4qEAjOMn3pKSUDvwYmAzrwbU3T6nrj2KY/lBlEu7MnyXMpqHe/aNeYtoSizLtoLDsPN3O5OoxrK//CDRNHsLrM38l877ld9XD+iE7HHD+8gBVzJiJJcPdz+2hs1dMK9NeU+UWBvkDwOaIv16NfBTyapk1TVfUrwH3AP/XGgVP9obrreqo7HkhTxV+3oJQNO+uZdu5Q2w5l054PmTp2EA8sKKXA7bDLq+ZdNJYn3z6S9p4XFhcS1GMMLXAjy8kdfN1AlswC/TbdwOtUUJR+sQgQCASnQV/e7dOBlwA0Tfv/wAWf5iBWrjSeSBAIGwQjRprH0/076mxrEys3eu+Nk7h/R/tk2MqLVjz/V0qGFaTZoSzbXEO+S6HueICSYQXMOH8EL+49xlenjO6Ub/W6FAo8DryWy6jHiTfp7+TzOEUwFQg+Z/TlDHUAcDLl75iqqg5N09KSjDU16XbJAOFwmJqaGgp8Ply+ISx9ck+ayEih12XXgW7Ze4ySony7hjSgG/z+tUO2qhMki+6Tbad1xwNpdiglwwpo0w0qNu1Pm+W2hKI8uLCUfJeDT9pCtJ08gVbf2usf0plifTbZwtkYTyZ94LPps80lcvVzO53rt6frsS8DagvgS/lb7hhMoevB1tTUoKpfoi1i8LvXDqV1PG2orufWa8azaqOW9vi//dc+7rvJz8ad9ZRdnN71lCpWkueSbW97q030oYWlrCnzc1tKLrXsorF2QX5D/fsZvclTqampyZqxQPaN57Ny6nMRBfxdkavXwGe9fvsyoL4O/CPwVDKHuvd0X1jg89HUpjPY6+pkoFdVZuYru5LMqzse4KV9Ddw4dTQr5kxkTKHX1CdNipXcWDoGRZYZ4nWZs8+kiV+eUyHPqaQ9JvKhAoHgVPRlhNgIhFVVfQP4JfB/T/eFAwYPZcn63QR0I81Ar8jnRo/F+d1rh7rMm27dd4yVcyfxTHU9siQx/zdvMavq1aTFc7tEnqLI+DzOtNxnV48JBAJBT/TZDFXTtDhw86d5rc/rth1AU0uiFl9VYgtH1zW2peVAvS6Fb1x6DtFYnK37G9h99JM0Ff5UryaBQCDoDXKijccyzutYEpVac7ppz4ds2vOhbR8SjMTIdynoMckWdg7qllxeTpy2QCDIMXIisiQSMVbOncSG6vo0XdOjzcFuFfttKb+UpboIpAJB39C9Cldn+pO6f04kBj9pasTndjDbP4qRgzysnT+V2uUzGeZzU1Xu71AfKuxDBAJBZsiJKVugtZVRI0ehKDKyLOFQZEiA1+3A41Q6KfaL3KhAIMgEORFQoWtl/p4eFwgEgr5GRCCBQJBRziTfCtmdcxUBVSAQ5BTZHIClRCJx6mf1EdXV1dkzGEFWUVpa2ueJcXE9Crqju+sxqwKqQCAQ5DI5UTYlEAgEuYAIqAKBQNBLZPWm1Nm0TfkUY3ECvwWKATewTNO0TZkYSyqqqg4DqoHrNE37WwbH8WNgNuACfq1p2sOZGkumyKbr9WygqupOTBlOgEOapn0zk+PpDVRVvRi4V9O0K1VVLQF+DySAfcDipAbJaZPtM1TbNgX4EaZtSqaYDzRpmnYZcD3wqwyOBbCD/DoglOFxXAlcAlwKXAGMyeR4Mkg2Xa+9iqqqHkDSNO3K5E9/CKY/AH4DeJIPVQJ3J+9xiU9h0ZTtAbVXbFN6iaeBe5K/S0A22JmuAh4APjzVE88yMzD1bTcCzwMvZHY4GSObrtfeZjLgVVV1m6qqf0pqGuc6B4E5KX+XAn9J/v4icO2ZHjDbA2qXtimZGIimaQFN01pVVfUBzwB3Z2IcFqqqfgNo1DRtaybHkWQoZvCYiynR+J+qqn4e+3+z5no9CwQx/4HPoP07zulz0zTtWSCa8pCkaZpV9tQKDDzTY2Z7QD0t25S+QlXVMcAO4DFN0/6QqXEkWQRcp6rqnwE/8Kiqql/I0FiagK2apkU0TdOAMFCUobFkkqy6XnuZWuBxTdMSmqbVYn7nI07xmlwjNV/qAz450wNke0B9HbgB4ExtU3obVVWHA9uAH2qa9ttMjcNC07TLNU27QtO0K4HdwEJN0z7K0HBeA65XIKU3bAAAAWBJREFUVVVSVXUkkI95w33eyJrr9SywiGROOPkdDwCOZXREvc+u5H4AwEzg1TM9QLZP2TdizsLewMxbZjIRficwGLhHVVUrlzpT07SMbghlA5qmvaCq6uXA25j/pBdrmhbL8LAyQTZdr73Nw8DvVVV9DXMXfFE/mn1bfA94SFVVF1CDmdo7I0SnlEAgEPQS2b7kFwgEgpxBBFSBQCDoJURAFQgEgl5CBFSBQCDoJURAFQgEgl4i28umPnf0d4ENQe6RKiCS6bFkO2KGmn30W4ENQe7RhYCIoAdEQM0++rPAhiD36CggIugBEVCzj/4ssCHIMboQEBH0gAio2Ud/FtgQCPo1IqBmH/1ZYEMg6NeIpWT20Z8FNgSCfo0QRxEIBIJeQiz5BQKBoJcQAVUgEAh6CRFQBQKBoJcQAVUgEAh6CRFQBQKBoJcQAVUgEAh6CRFQBQKBoJcQAVUgEAh6if8GatlO1Tdt2zgAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_Zr = pd.DataFrame(Zr)\n",
"sb.pairplot(df_Zr)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Classification on the extra Data\n",
"CV Train & Test Accuracy\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" CV Train Accuracy | \n",
" CV Test Accuracy | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 0.9345 | \n",
" 0.933 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" CV Train Accuracy CV Test Accuracy\n",
"0 0.9345 0.933"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"print \"Classification on the extra Data\"\n",
"print \"CV Train & Test Accuracy\"\n",
"df3=pd.DataFrame([classify(Zrpca)])\n",
"df3.columns=['CV Train Accuracy', 'CV Test Accuracy']\n",
"df3"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fa= FactorAnalysis(n_components=2, max_iter=50,copy=True,svd_method='lapack')\n",
"fa.fit(Zlbc)\n",
"Zfa = fa.transform(Zlbc)\n",
"Zlfa = fa.transform(Zlbc)\n",
"Xlfa = fa.transform(Xlbc)\n",
"Ylfa = fa.transform(Ylbc)\n",
"plot_transformed_data(Xlfa,Ylfa,'FA linearized data')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Factor Analysis transformation failed to separate the two features.\n",
"\n",
"Another example using the random dataset generator in scikit-learn"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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9h8vp368vDLQ18fZpBF7cuYj0lHeYMWPGT6gRS2nR0NDAjh3boa6aBSE/D+qq6XBxro3hw4eXWbampibc3d0VZobExsaiRvXqOBd0AtmpiWjfri0mTJjwQ3Jzc3OxcOFCODu7oGvXbnjw4IH8Go/HQ4f27TBqkh/evU/Gm79iMXqSH5q7N8DK5Uvh6+sLALhy5QpUVZQxe+qfMDU2Qsvm7vhz+AD4zpiOIX19cO3sEUTdC8eMCaOgra2Fzp07l7k9KgzFWfJvHTY2Nio2NjY7bGxswm1sbG7a2Nh4fZ6GHWGXnB/RMS4ujgQCPrVq3pgyYp9QXlIUHdqxjjQ1hPQ04gLFPY2grh3aUOe2rSj51QPq3qU99e3b54f0ycjIIB6PR6lvHslHOvevBJOZqemPVu1f5b/W1yUlNTWVgoKC6MGDB+UirzgdR44cSaOH9JP/Tbx+eJV46urk7d2N8vPzSyTbzc2dhEIN4vF4JBQISVVVTUHvtLQ06tOnN6moKJOGUEjjRgyirLdSenn/MolEmpSTk0Nnz54lp9qOcj3ykqJozeI5pKSkRCmvH8rPfYh+TFwuVz4y/zepaCPsPwC8l0qlDQF4APg1Wwj/H2JoaAhDQ0OMHNxHHlimjUdT6OnqID0jEzraWli9aDZOnQuFkpISRg/ph7179/1QRDQlJSVwuVzk5ObKz2VlZUFNrXwD2bCUDyKRCB4eHqhWrVqZZeXl5SH3k37/lIcP7qN5Y1f5byMDfVSxs8G9O7exa9eu78p+8uQJbkXcRIc2LeBc2wEFBfkAFcKrTRv5dxINDQ1s3rwFerp6uH7+KPxnTICysjIM9fVQUFCArKwsGBsb4/FTKbz7Dcfr6Bg8i3qFJas3wcjIEPcfRcrLe/D4CcwrVVLw8f/ulNZgHwAwvej/HAC/Zgvh/0MyMjJQrWpVvHwdLT+XmZmFd+9ToKujBQAgAkCAd//haN6+O1RVlFG3Tm28fv26RGWoq6vDx8cb/UdOxJNnL3D73gMMG++LgYMG/4QasVQE8vLyMGLECGhra8PF2RkdO7TH+/fvFdI4ONbCkZPB8t9v/orFi5evMbCnN84Gn/luGVeuXIFAwMf75GRUs2cQ/+w2/oq8AWsLM7m7429atmqFZWs3oaCgAESEdVt2oWqVKrh69SpcGzZEz24doamhgRr1W6B+iw4YNmIk5s0LwB+DxmDV+q1YvWEbfAaMgu/MmeXSPhUFzo+MvD6HYRgNAMcBbJBKpbs/vXb79m0q65LT8iAnJ+e7O0X8akqi4+PHj+E30xcvXkTJ0/pNHgMzU2MsXLEOf8XG4ezhneDzeBgzZRYeRT6FQ42q2LhiPlRUVLBwRSCOn72Ibdu2l0invLw8rFy5EkGnT0NNTRXt2ndAv379wOVW3M8e/5W+/hWsXLkSz58+wrY1i8Hn8TBl1gI8ex2Llav+eXlOTExE61Yt4VC9KqraMzh8PAgTRw/B6+gYZOZz8eeff36zjJs3b2L61Cl4n5KCt09vgceTtUOk9Dlad+2Ls+dkU/Nev36NDx8+YNnSpYiJ+QsCPg/5hYSVK1dh5IjhWL1wFpo0kq3c3X/kJJas3YKdu2TmJyIiAseOHQWI4NW2HerWrfuTWuzblKWfs7KyUKtWra+/FhTnK/neYWNjY2pjY3PLxsam79eusz7skvM9HTMzM0lfX4+2rFlMOQnP6c6l02Sgr0tNmjSmJo3dafHixTRp0iTS1dUhDQ0hOTs7kVAooAdXz8r9eZlxT0koFFBycvJP0bEiwOpYeiwtLOhW2CkF/69AIKAPHz7I0yQnJ5NAwCd728pkx1SmJf7Taeqfw4nP49GrV6++W0Z+fj4ZGxkRT12d4p/dlpd1+cwhsmVsKD4+nuq5OJOxkSGZmhhTLUcHmj59OvXr148OHz5MWVlZxOVyKTfxhTxvwvM7JBQKf2LLlI4K5cNmGEYfwFkAE6VS6ZeTJFnKlZCQENjZWKN753bgcrmoasdg3IhBiI2JgYdnSwwYMADz5s1DYmIS0tLSce3adVhbWSE+IVEuIznlA7hcboUc3bGUnXPnzqFO7VoQCARo7O6G+/fv/1B+VVUVhfn2eUULTz5d8SgSiaCro4uFs6aiR9f2OBtyCVdu3ELt2rVgbm7+3TKUlJRw7vx5aGtrw7v/CDx6IsWNW3cxfIIvBg8ZipEjhsPJoSqi7l7C42tnkZqSjFPHj8JAwsdsP1/4eHeDvZ0tTp0Nlcs8fvocajn+notgSkNpgz9NASABMJ1hmL992Z5SqTS7fNRi+RQ1NTVkf7Z4JTMrC8YGerh6KRR79+zB1WvX5B8hiQhNmjZD/xETMX3CSJy/EI4rN26jSpUqyM7OBo/H+xXVYPlJSKVS+Hh7Y90yf7jWc8KBoyfh2rAhbG0ZuDZyw+TJk6GlpVVsfiJCz169MWqyH9YsmgMNoQBT5yxCp44dIBAI5Om4XC5WrFyJnr17o0MbD0gkEoRcuoKzZ//ZbPbjx484deoUYmNj0bRpUzAMo1CWnZ0dXkRFYcrkyejYcwjU1dUxaPAQjBw5ElOmTEHU3Uvgcrk4evosDPR1EXJsD7hcLiaPGQqnpu3Qu29/9B85ES2buiO/sAAhF6/g9Omg8m/UCkqpRthSqXSUVCo1kEqlbp8crLH+Sbi7u+Pd+1TMXbwScfEJOBkcgtXrt6F/z67QEouQmBCPgQMHIq9oi6KBAwfizOmTqFnNHmMm+0EoFGBZgC+sKxnDrVGjYmcBsPye7Ny5Ez29O6KNR1OINDXQv6c3XOo6wr1eHbx/G40mjRujoKDgq3kPHz4MSwsL+Pn5ITYuHh17DoZb626ITXiHO3fuoKWnBy5evChP36ZNG9y6fRu21WuhgXszPH4ciRo1agAAUlNT4VS3LhYG+OPO9cto2KABli1b9kWZampqWLxkCV6+eo3IJ08xatQocDgc6OroIDomDgDw8LEUTd0ayL+ZqKqqwq2BM7hcLh49egxzG3u4NfVEZOQT1K5du7ybtMJScb8gscjJy8vDrt278fDZG1Sv1wJjp8yC78TRGDnRF2YmRlg0ZxreRD2Dd7euePjwIYJOn8LloINo5t4QLZq4Ye0Sf3h5NsPGFfOhLdHE8ePHf3WVWMqRgoICKH/iugAAPo+HylbmCFzqD2UlDs6fP4+CggLExMTIH9hPnz7FoIEDsWXVAqT99RgbV8xHZlYWzMzMYGVmhMDFs9GpdVN06dwZN27ckMs2NzfH2LFjMXToUIUdVZYvXw67yua4cGIPApfOxbVzR+DnNxNJSYoByYpj/IQJ6DVkLA6fOIOCwgIcOhYkD/yUnZ2Dcxcuo1atWjA0NISPjw8GDRpU7ju6VHTYeNgVGCLC1KlTsWbNaigrKcPIyAiLFi/GwvkBiLj3AEP79cTkscMAAK2au6NyLTcEBwfDqbYDXkX/hWs3b8O28j/bL3E4HFS2NEd0dHRxRbL8hvj4+KCxuzuauTdAA+c6OHziDMKv3cTaJXPB4XBgZmKE8+fPY+CAAcjNzUFBYSFmzZqNxMRE/NGlHeo7y0aozRu7or5Tbdy+9xDhp/ZASUkJdRxr4MOHNKxetRJOTk7f1OPmjevo691OPu/ZzMQINara4/79+2jatGmx+T58+ICAgABcDLsALR1drNy4E6pqalDl8eHSvAPc6jshOPQS6jo5wdXVtVg5/w+wBrsCs2PHDpw5fRIPLgfDQF8XO/cfgd/s2Wjj5YU9u3dh9aI58rSqqqrQ1daCqqoqQsIu4+atu1BVVUHIpSsYPrA3tLUkiH0bjwNHT6JpJusS+S9ARIiKioK+vj4C163D0HET8SIqChKxCFtWL4KWRIx7DyNxPiwc3EtXsH/Larg1cMHT51Hw7NQLbbzagnJz8SzqFRYuD8TT51GIT0gCj6eu8LFRX08XqdfufFcf+ypVEXb5Orw8mwGQRcl7+PjpF37sz+vg6eEBSzNDzJ40CncfPsb85YG4evUaLC0tcfbsWTx8+BBrAv+Am5vbf2oRTKkobvpIWQ92Wl/JKU7H1q1a0q4NKxSW4Favak9XrlyhBvXrU33n2pQeE0l5SVF0Jfgw8Xk88vLyonatWlDU3XDS1BSSob4eiUWaVNnSnHg8dfKdOJq0JBKKiYn5rl4RERHUtElj0tHRpvr169Ht27fLu+rlyu/c1z/KgwcPyM7WlkyMjUgsFlGfPr0pLy+P8vLyaMqUKSQWi6haVXvS1taiwYMHU6d2rRX+jnwnjaYB/fuTRCIhLbGI/CaPpdDje6nvH11JKODT7o0rKDfxBb2V3iKH6lVp06ZN39UpLi6OKpmZUbdObWnmpDFkY21F48b9+c084eHhVMWOUZiqN2nMMBozZsw381X0vq5Q0/pY/h2EQiFSUj/IfxcWFuJDWhqEQiFqOjggKzMblR0boVHLzmjTrS+qVrHFo4cP0L61B5ybtoVtZWtsXLkAKxb4ITMrG8aGBqhWxRYmxkaIjY39Ztnx8fFo2dITXdo0x52wU+jRsTVcXRvC2MgIPt7eePPmzc+uPksxFBYWomOHDhgzuDei7l5C1N1LiH75AkuXLoWKigrmzp2L589fYPOWbYiO/gtNmjRBSsoHBRmpqWkwNDJCly5d4NWyOSaPHYYGLnUQuNQf1extMWbKLFR2dIVNrUZ4l5xSopjqhoaGuHvvHpwbuCMjXwmr1qzFggULv5knKSkJJkaGCiNnMxNDvEtK/Eau/19Yl0gFZsjQYejWtQv0dLVR2coCK9dthZlZJVSrVg0+Pj44cvgQVi+eC6GAh/cpqRg+3hd8Pg8TfOciIzMLx/dsgpZEDAAQ8PkYM3kWrt64hfjERPmX/eLYu3cvWjZzR+/uskhnfXt0xYXL11DZygIgQmN3dzx5+lQ+lZDl3+PJkyfIy8tBL59O4HA40BAKMX7kQMxatEYePU9HR0f+Qa5169YYP24cZi1Yji7tW+PK9QjsOngMN29GYPny5TDRqaQg39zMBO3beODZi5e4FnEHKalpiI2Nhamp6Xd1k0gkGDVqVInr4u7ujn79+uJ6xB0413FEckoqArfsxtTpvt/P/H8IO8KuwLi6umLjps1YtWk3OvUaBnVNbRw7fgIcDgcuLi7wmzUbw8ZPR+feQ+E3fyUsLCyQnJwMFWUVqKurQSzSlMsyNTZC6ocPWLVhO3r16g01NbViy01LS8O+vXux99AxGNvVgd/8ZSgoKICmhhCaGkLMmDgautpiBAcHFyuD5efB4/Hw7l0ycnPz5OfeJiQV699VV1fHhbAwvIpNQrvuA3HiXDhOnw6ChYUFvLy8sHX3QbyNl41oH0ZKceJMCNZu2oHCQsICvyno1rEN6rm4fBFbpDwQi8XYvn0HOvUeCgfXlrCt2xhNm7f4b4VELU+K85WU9WB92CWnLDp+/PiR3r17R/fv3ycNoYACl/qTlUUlqlnNnpYHzKTcxBeUHhNJXp5NycTIgMKDDpFEIqaEhATavHkzTZ8+nUJCQhQ2PvDwaEFdO7ShmMgb9ORmKNV3qk39enYjbS0JPb9zifKSoqhRfScKDAwsryYoF/7rff03Z86cIWNDA2rt0ZTCTu6jneuXk66ONjVr1rRU8vz8/EgsFlFVezsSCPikrqZGtWpWU/B5+3RuT0uXLi2z7sWRk5NDd+7cocTExBKlr+h9zfqwWb6KsrIytLW1sXfvXgzs3R19uneBUCCAY41qWLVhG6xqNoQhUwdvE5KQlZ0DfT0diDQ1YGvLYPvm9chLf49BAwdg1KhRmDt3LsxMTXHr5k1cvhaBew8jYWVRCYvmTMX+wyfhN3kszEyMcPrsBdy6+wDa2tq/uvr/V5w+fRoONWugXbu2yC8ogJGBPsZMmYWtuw/Ay7NpqTeVnTFjBqKiXmLbjp1ITEyCT/fuqGpvq5DGysIMb9++lf8uKCjAqlWr4O7WCG1at8KZM8VH68vKysLYsWNgZmoKO1sGq1at+iLcr5qaGhwcHKCrq1uqOvzfUJwlL+vBjrBLTnno6OvrSyMG9ZEHlu/SvjXx1NVIIhbR0nm+lJcURS0au9KIgb1JQyigzu1ayUdP717eI5GmJlUyM6GX9y9TXlIUnTu6i8QiTUp4foeunz/LlA0XAAAgAElEQVRKWhIx6WhrkUQsIiuLSqQhFNKJEycoISGhHFqgfKgoff348WPq06c3ubs1Ij8/P4Wt2kqr4927d0lXR4eO79lE717eoxXzZ5JELKKX969Q8OEdJNLUIKFQQMOGDaOsrKyvysjIyCjRNm+nT58mHW1tehpxgfKSoigm8gZZVDKjsLAweZoxY0aTS93adGz3RtqyZjGZGBvRkSNHvirvj+4+1MGrJT28do4unzlE1arY0dq1a0vVDn9TUfq6OH7WCJs12BWA8tDxxYsXpK2tRaMG96V2rZpTQ5e6pP5JVLS4pxGkqaFBErGIGtV3olbNG5NELCKhQEADenmTsaEBLZk7XeE12LWeEy31n0H1nWqTWKRJrVo0pvEjB5OxkQFpampQFXtbEotFNHr0KLlLZd++fVSzRnXS1dWh7j7e9Pbt2zLXraSUZ19fvnyZPDw8qH49F9q+fXuJ8z1//px0dXVozrTxdHLfFurg1ZLcGjWiwsJC+vjxI82ZM4d8vLvRhAkT6M2bN9+Vl5ubSyNHjiQ+j0cTRw1R6J/6zrVJSUmJtLUktMR/BkXdC6e2rVpQv359FWS8efOGGjaoT2pqaiQUCmnEiBGUl5dXbJnXr18nV1dX4vHUSUsiJoGAT76+vvLr6enppKmpQbFPbsp1ObJrA9Vzcf5CVmpqKmloCCn51QN52vNHd1PNGtVL3KZfo6Lf16xLhOWbWFlZoU0bL5w4cx4tmzVGiyauUFZWgmfn3hg3bS4cXD3B2NpCIBQiN+8j0tIzcDP0BA5uD8Sb6BikpqXhbYLiEuKEpHeYOnsBGtari8gbIXgTHYtDJ4ORnPIBJ/Zswt2LpyCNuIALIeexb98+hISE4M+xYzBv+jjcOH8UemIBWrdq9cXrb0Vn7969aNXSEzFvXsFQV4IhgweVeNfwNWvWoG/3LpgwajCaN3bF7g3LERcbg5s3b6J3r544eewI3J0d8DEjGU5Odb+7qYSfnx+kj++je5f2X+z4o8RVgqaGECHH92D4gF4wNTbCuqX+2LNnrzyuzPHjx1HF3h4xf0VDXU0Vfbt3xuP7dxAQEFBsmRMnjIeVqQHuXw7GkZ3rYWRgAFvbf1wk6enpUFZShraWRH7OzMT4q0vQPxZF/bsWcQePnz4DAAgEPHxIS/t2Q7J8neIseVkPdoRdcspDx/T0dBKJNOn1w6vykcyWNYvJ0aEmBQQEUEREBBERjR49mkSaGrR/2xoy0NcjPo9HGkKB/Fi5YBZdPLmfhvbvSSJNDQo7uU8uj6lsRZVMTcitgbPCSC9wiT919/Gmrl0609olc+XncxNfUGUrS/q3/hbKq69NjI2oQxsP+WKOpxEXSF1drUQfxHy8u9H6ZQEK7dOogQvVq+dCYpEmpf0VKT8/fuRgGj16lDzvtWvXyNPDg6ytrKh582b09OlTMjM1pXuXz9CN88dIX1eHQo/vpez4Z7R59SLiqauTRCyih9fOyWUmRd0jHo9Hubm5lJSURGKxiC6fOSR3bdjaWNMCvylkZ8t8oXt+fj5t2rSJRJqalBn3VC7z4PZAcndrJE9XWFhIjg4OtHLBLMpNfEGZcU/Jp3M7Gj169Bcyz58/T0pKyqSqyiM+j0/OdWqRc21H4vF4X+zI/iNU9PuaHWGzfJP379+Dz+PBUF9Pfq6avS0yMzMxceJEeUSzWbNmgQgYMX4G3Oo7I+H5bSS+uIuh/XuCw+Fg2pyFaNLOB/sOn0BOTi5i4uJx5OQZ9B76J15H/4XVi2YjPvEdCgsL5eW8iYmDrp4+cnNzFeJtczgcqKur/3bRAbOysuDdqa18mpyluRkYayuFAEjF4dmyFdZv34P0jAwAQMjFK7h99z70JJqoXsUO6ur/TKesWc0e58+dR9MmjdGtWze0bOmJNs0aYN2SOVBXBpzq1kEhFeLjx3w41KiKQX26o61PP/ANGYydMgt8njoqmRpj+LhpeBufiOSUVAwfPx2dOnaQhSgICUED5zqoW6smAEBPVweDevvg4tUbX8RFz8vLg6ODA2b5+UJZWUlhaTqfx1PoQw6Hg527dmHVxp2o4twMljUbIiU9G7NmzVKQmZubi44dO4EgQgFJkPNRhOu3HuHWvUjkF6hix44dP9gzLKzBrqDcu3cPzZo2gVgsQoP69XD58uVvpjc1NQWfL8DJ4BAAsjenDdt2o3GTf4Lu3L59G6tXr0adunWRkZGJvj26IPZtApSUlDBt3AhkZefg4PZAZMQ+wZrFcwEOMHz8dPjOW4Lk5BRwOBx8SEuDlliEPsPG4eKV61iyegM2bN+DIUOGwKf7H1iwPBAvXr5Gfn4+1m7agcysbPD5fKxevRpnzpwpNsxneRMdHY2QkBAkJyf/cF49PT2EX70p/52Wno6o12++2OQ2NzdX4cEFyAIx1a7rgsqObrB2dEVb737Q19NF4FJ/3Ln/EJ6desKlWTtMmbUAqzduh4CnitEDe0Aa+QgTRw1G/57eaFivLvZuWgVVVVXExyegVZc+CA69hM0792PXhhXIeitF/LPbaO3RFK716sLU2AjWjq4wtXeCkpoQq9esBQBoa2sj9m2CgksqOiYOt+8//GJ/znnz5kFVmYMnN0JgaW4G/8WrkJubi5i4t/CbvxzePoouITs7O0Q+eYJDR47i6rXrOB10BhoaGgppHj58CCIOOFzZQ4rD4YDLFSK/oFDefiw/SHFD77IerEuk5HyuY3JyMunp6dLaJXMp7mkE7Vi/jHR0tL+7DdPly5dJT0+XGrg4kb2tDdWu5UhJSUlERDR37lwyNjKkUYP7kktdR9LQEJKejjbp6+pQQ5e6dDvsFKmpqVJG7BP5q7CNtSX90aW93DVwM/QEaWoIae/mlfTnsAFkamJENWtUp/v37xOR7FV5/vz5pK2tRWpqalTPxZmGDx9OBvp61K+HNznWrE6uDRsWO4uhPNqxsLCQRowYQdpaWtSwnjOJxaIfni9+9epVEgr45NO5Hc33m0wWlUypu4+3/PqjR4+ofj0XUlZWJgMDfVq9evUXMnbv3k3mlUxpy+pF5FrPiW6EHCeJWERrl8ylsJP7qH1rDxKLNCn1zSPKS4qils0b0+6NKxVcKUxlK+JwNUlJWZM4HA7p6mgpXL8SfJiqV7GjvKQoMq9kSg8fPpSXn5SURIGBgWRsbExd2remsJP7KGDmJOLx1MnDw0P+kbiwsJCCgoLIxNiYFs6eSnlJURR1L5yaujUgFRVl4vN4NGXKFCooKPjh/oiJiSF1dR5xlQ1IScWIlFSMiMPVJHDUiM8XKOj7o1T0+5qdJVJKKnrHEn2p48aNG6lj21YKN+fQ/j1pzpw5X+RNTk6mly9fym/ArKwsCgoKoqtXr8rPvX37lsRiEUU/uk55SVHUvrUHjRjYm7Ljn1F2/DMaOagPGerrka2NlUKZRob6dP7oboVzlUyNZb5vPo9qOTpQWlraFzp9/PiRMjIyKCoqinS0teWzCXISnpNnM3dauXLlT2hFWTseO3aMqtjbUlLUPcpLiqInN0NJIhHT69evf0hWbGws9e/fn9q29aIDBw7I2zI3N5fMTE1p1cLZlPVWSncunSaLSmYUFBSkkH/EiBE0d/oESn3ziPR0talJowbkP2OivB2z45+RkYE+3Qw9QXlJUbRm8RyqVbMavXsp0/vE3s2krqZOXGVDUlIxIh5fNqPn05kZ65cFUKMGzjRt/EgSCoXy/RevXLlCOjra1LFtS2rZvDHxeTzS1pKQtpaY1i8LIAN9Pbpz5w4REf3551iytbEmWxtratKovvzhnB4TSYYG+jR9+vQy9YmPjw8JBCLiKkmIw9UggENisYT2799fJrkV/b5mfdj/R3z8+BFqn8XoUFNVlX9xB2QLF4YNGwYLC3PUr+eCKvayuMM8Hg8eHh5wcXGR+2AfPHgAGysLGOjrgohwMjgEvpNGQ0lJ5qucNn4kkt69R0xsPA6fOIPEpHdYuW4LsnNycS3in7CaSe/eIzklFTk5OVi9aA4+fEhT2EIqLy8PISEhuHnzJng8Hm7duoUGLnWhqyNbYMPlctGhtQdu3rj+09ouODgYvbp1gEhT9npuZVEJLZo0Qmho6HdyKmJkZIQNGzbg6NFj6NSpk7wtw8PDoaMtRkZmJsZOmY2nz6Iwdlg/7NyhuBu9trY24uITwOfzcHjHejx6IoWxkYH8upKSEiQSESKLZk60btEEb6JjYWrvDMsa9dGlzzDk5Qvk5ebmEqrXqI7GbbyxY99hzF+2FmOmzMK9B4/x/MVLmJsao5ajA+Li4jBq5Agsn+eLPRtX4uiuDVi1aDYYa0uMHNQX58LC4dPJCydPnkRMTAy2bN6Ci6f2Y/+WNbh55z5adPgDcxevRN0mbZGbmyuPTfI34eHh6NK5E5o2aYyVK1d+18W1bds2LFoUgIYNaqBb1za4evUKkpPfs0vPS0txlrysBzvCLjmf6/j27VvS1taiI7s2UG7iCwo5tod0dXToyZMn8jTLly+nBi51KeH5HcpNfEEbVy4gSwsLys/P/0J+QEAA8fk8iom8QXlJUWSgp0v3rwTLR2p3Lp0mIwN9Cj68gxhrS+LzeNTS04NOnjxJGhpCGtKvBy2YNYWYylY0acxQaubWkPZvXUs62lo0e/Zscqpbh6pUkYXydKrjSFXsGKpib09HjhwhYyND+Wt/XlIUde/Sgfz9/X9aO86dO5f69eimMFPFoUY1Cg4OLpcyjh07RpoaQurepR0tmj2NHGtUJefaDtSpY0eFdNHR0aSnp0v+MybQxVP7yb1hPapqx1DC8zvyEbRIJCJNTQ2q7ViDRCJNmjZtGt25c4f69etHysoqxFXWIyUVI+Iq6xOfL6Tw8HBycnIiDaGI1NU1SV1djaLuhcvr2cazKenr6REAynorlbdByuuHpKqqSo+vnydzMxPq1K41rV27lkJDQ6mBi5M83YUTe8mikgnxeOpUv149evr0qUKdQkJCSL/IVXdk1wZq4FKXBg0aVC7t+qNU9PuadYmUkoresURf1zE0NJSq2NuRqqoqWVpY0OHDhxWuu7s1oqO7NlDQwe00ddwI2rp2CVW2spS/6n5K1Sr21KltSzIzMaJxIwZRVXuGrCwq0dFdG+nIrg1U1Y6hBbOmUF5SFMU+uUkSiZhycnJo8eLFZGxkSGKRiJxrO9ChHesoJ+E5Va9iRwe2rSWeujpVsWPo9IFtZGNtSRtWzJcbjxGD+pCGhpCsrSypqr0tzZk2ntq38STGxoaSk5N/WjvGx8eTsbERjR0+kA5uD6TO7VqTU926X32QlQZfX1/q3qW93Mh9iH5MErGIeDwexcXFydPl5OTQrVu36I/uPlS7liMNHz6cOnboQHw+jwwN9EhDKKTu3btTzZo1SCgQkEikSb6+vlRYWEh5eXlkZWVFHA6H1FR5xOFwyLySOX38+JEiIyNJQ0OTlFWEVNuhhoK7as+mVWRhbkYmxsZ0ct8W+flDO9ZRzWpVKHCJP9naWJOJsTGlpKTQ+/fvSSwWkfRWmLzfvDu1pWHDhn217p4eLWjLmsUKUwhFIk35d5J/k4p+X1dIlwjDME4Mw4SVz1if5VPc3d3x8NFjpKam4kVUFNq3b69wXSQSYfnazRgzZRYKCgqwbfdBJCQmQkVF5QtZySkpcK7jiF0bVoDP52FY/55ISHqHGQHLMGDkRHg2c8eowX0BAOfCLkMoEEJLIsHypYuxYXkATu7bDHV1New9eBzDx09HZlYW5ixcCVVVFexcvwy1alZD3NsE9OjaAYBsNsCIgb1RWFCI9PR0PI96iWPBF9CkRSvcjIiARCL5QkcAyMnJwdmzZ3Ht2jWFmQ0/gr6+Pq5evYYCJXVs3H0E1Rzr4uy5cwrT1MrC82dSuDd0kf/m8dRRvYod8gu42LBhA/Ly8jBs2DDo6Oigfv36uH//AaysrcHhcHAh7AJGD+mLIf16wMTYAMePHUX/7p2QFHUXdy6ewpFDB7Br1y4cO3YMXBRCT0cbPJ4KzEyMwOUCbdq0RluvNqhRvRpaNG8E6YsopKWny3U5dyEcsXHx+JCWjh6DxuDPaXMwcqIv+g4bB1NjQ/w5bQ5s7avi8pUrEIvF0NLSwty5/qjXvAP6jZgA11ZdII2KRs+ePb9a94SEBFhW+ifEqqaGECJNzVLNxGEpHaWOh80wzAQAPQBklp86LJ/C4XDA4/G+es2zZStMmTwRL+6EQyDgg4jQumsfhIWFoWrVqgppK1tbw3/xKiycPRUeTRph1YZt4HA4OHHyFNauXYs1q1cjOzsHH/PzsevAEShxuTAzNcaqBbPgWl+2j9+eTatQqVo9WJqbwtrKHN06eGHon1Ohr6sDoYAPVVUVvHrzF6wsZLGVHz99hkqmxrh3+QzevU9Gq659IRaLoamp+UVdoqKiMGrkCISFXYSNtSWyc3IhEGog6MyZUgUDMjMzw7Jly4u9XlhYCA6HU+LtpvLz8xEUFITo6GhYWFphz8Fj6N65HZSUlBAXn4Cbd+7j40clxMTEYM6cOYiSPsbdS6fQtK0PDHUlcHeqiSOngiHW1MDkMcOgpqaGGlXtMGriTAzs7QNAFv52wshB2Lt3D0xMzZCcnIIzh3eiRlU7hFy8jM69h6KZW33MmzoaDyOfYtw0f7i5ucHRtSUG9PLBrXsPcDb0Mj4WiFGQnQNLCz1oGcgCNnXq3AWmpqZYsXYDzM3NFeo2dOhQtGjRAufPn0eX7sbw8PDA8+fPv9oOHp4tsXzdVtR2qA4VFRUcOHoKqqpqsLa2LlnHsJSZsmxgEAWgAwB29vsvQE1NDY1dG0Ag4AOQGXcvz2a4f//eF2nnBcyHp6cnlq3ZhMysLOTlfUTTps1Qt24dVLG1ga2NNfYfO4WWLVuBy+FiQC9vHDoeBG3tf0bCGkIBuFwOrC0ssCxgBt69T4amhgZmzFuCZf4zMHbYAHh26onJY4YhPTMTcxauwJY1iwEAOtpaGDGwF44eOfzFEu+UlBS4ujYEFRZg48oF6OjlCSLC6MmzMHXqVKxfv77c2iwlJQXDhw3FwUOHwePxMGTIEMyZM6fY0XdCQgLmzpmDQ4cOQonLRQPnujh/MRxiiQS2dRrDoXoVnAu7jPwCNQgEhWjXrh1GjRyJPRuXY8QEX+jp6uDEvi3gcDjo80cXNGvXHUdOBaNbBy8YGxoiOzsHhYWF4HJlL7oZGZng8XiIjY1F357dUKOqHQDZwhVdbS2smO8HDoeDKrY2iI2LR1Tse7jUb4jZC1bgY4EKOFxNcLlcEAkQExODvn37liiCn4qKCvh8PoRC4TffRKZMmQLvbl1h5eAKbS0J0jOycOjwYbn+JSE9PR0vX76ElZUVhEJhifOxyCi1wZZKpYcYhjH/VponT56UVny5kZOTUyH0+Bal0VEsFiP82k2kZ2RAQygEEeHEmRA4N2gkl0VECAoKwpmgINSsWQMgwEBVBY3c3LF7104snDUZ3Tp4AQDmLlqJw6fOwcLcFK/e/AVTEyP4+i/BtrVLoKamijkLV0JZWRlB58NwyjEUQiEfFuYWePQ0CqZVXMDhAHp6+pi9aCUKC/LB5/Hg2dRNru/b+ERwuUpf1HPPnj1wrF4F1yPuoEMbDwCyh8+gPj5o6zPwh9rle+04auQImBnqIibyBtLSM9B76J8YP348BgwY8EXarKwsdOrYAc3cGmD9snk4E3IRp8+G4sLJvajXrANatmqFgwcPQVVNHRxko2OHrjA3N5cvLgq9dBXDB/SSj+I5HA7qOFZH1EvZ1mrRMbHIzcvD0D+nYdyIgXjx8jX8FiyHh2dLnDq1F4Zd/3GBpWdkQizSVHgj0JZIcDniIRYuWoTr12/gr5g0cDh/G05CQUE+/vrrL2RmfvsFeN++fVixfDkaN6qPSOlzaGiKsHTpsmLbcf6ChXjz5g3S0tJgZ2cHZWXlEvfRrl27sHjxYigpq6Ig/yPGjRsHHx/vEuX9nIp+X/80/YpzbpfksLGxMbexsbn+tWvsR8eSU1odhw8fTpbmlWj0kH7kUrc21XNxVliU4ufnR1Xt7Whb4FJatXA2GRro07Fjx+jDhw/E5/MpJ+G5/ANS5I0QEvD5JBTwSSgUUP9e3mRtaU7qamrE5/NIIBAQR0mXuMqGxOEKiMdTJ5GmBmkIBbRu3TqKiYmhwsJCsrSwoF7dOpK2lpi6dmhDF0/tp8Al/qSro0N37979og6zZ8+mYf17kVikKQ/tmpcURTvXL6fG7m7l1o4pKSkkFAroQ/RjeRlXzx4hW8bmq+m3bt1KLVs0Ufio59WyGa1aMIuqV7Wn7t2709GjR+ny5csKEQmXLVtGNapVIVVVFbI0N5PPq3738h4Z6uuRro42Va8i2yhAIBBQ8+bNycTYmOrWqU07duwgsVhEZ4/sIl0dLVq3dB5Jb4WR78TRxOfxaP/WNZSb+IJe3r9MVewYOnjwIBHJFunwBRrEVdImrrIuqfNE1Lp1m6/WKzc3l5YsWUL16jegVq1ak4qKCrm71qeVC2bRh+hH1NqjGY0fP/6H2r0k3L9/n3g8/iczX/SIx+PTo0ePSiWvot/XFXKWCGuwy4fS6lhYWEjh4eEUEBBAhw4dUgiZmZOTQxKJmF7cDVcIgensJJsxoaenS3fDg+TXnGs7kEeTRiQUCOjOpdPy8xNHDyFdbS3iKkmKbjRdEgqFdOP8McpLiqKwk/tIJNKkN2/eUFpamizwUOILenjtHNnZWBOXyyU1NVXq36/fV1fL3b9/n/T1dGn4wN5kx1Sm9csCyH/GBNLR0abz58+XWzumpqaSUCiglNcPKS8pikKP76UeXTsQn8cjYyMjGjJkCKWmpsrTz5s3j0YWxRf/+xgxsDeJNDWoZjV7Gj9yENnaWFPv3r2+6JPFixeTtpaE6jrWJAM9Xero5UlaEjE5OjrQnj17KDAwUP7g/JTw8HCqU8tB/jBp7t6Q9PV0ydjIiPbu3Us2lSuTnq4OicUimjlzpnwxDxHRtm3byNrahvT1DWjUqFGUmZn51Xbw9GxJfIFYYSELuBok4IvItZ4z7dqwgpo1bfJD7V4S5syZQ8oqIvmKRyUVI1JVFVFAQECp5FX0+5o12KWkoncs0c/R8d27d6SpqfHFKNrUxISIiNauXUtmpsY0fEAvau3RhDQ0hPTgSjBVMjNRMFK3wk6RpoaQOFxR0ehag4YP7K2QpltHL7K0tKCIiAiysrSk4MM7yLWeE40dPoBSXj8k6a0wqmrPkL2dLZ09e/YLXQMDA0kiEZOhgT5JxCJyc2skjy74I3yvHbt07kR/dO1A40cMIjMTI5oydhh1atuKDPX1qIOXJ3m0aC5Pe/fuXTI00JeP+l8/vEp8Po/cGjjLVwOmvnlE5mamdPPmzS/Kio2NJbdGrqSpqUE8njq1aNGcHj16RK4NG5KSkhLp6enS4sWLFYxuXFwcCQV8+VztvKQomjBqMFlbWRKR7GEQHR1NmZmZlJqaSvPnzycf7240Y8YM8mjRgvh8PgmFQho4cMBXNyqQSqXE5wvkqydlS8U1iMPhE1fZkAQCIXVp35r69u37Rd6yEhgYSAKhloLBFgq1aMOGDaWSV9Hv6wppsL91sAa75PwMHWUhMGvKQ33mJr6gof17Ut++fSk1NZX8/f3J0NCAKpmaUAOXOsRTV6d9m1eTjrYW3b74zwh71pSx1LRRA1JWViF1dXXicDjk07mdgsFu0aQRde/cjvT0dGnv3r0kFolIpKmpsHgj6OB2sq1sRTraWuTi4ky+vr4K87EzMjLo8ePHxY4MP+fly5d04MABhbb79P+PHj2irl06U/VqVal///4UExNDaWlp9Mcf3UldXU2+TF9mFIfQwF4+pKeroxDyc+HChSQWi6hubQfi8dTJjrGmRbOnKdS9R7dOtH79+mL1jIuLo3fv3lFhYSFVr1aN/CaPpbS/Iun+lWCyt7WhvXv3KqTn8dTJtrIVBcycRAN6eZOBvi5xuVwFw56dnU01qlenzu1b06ZVC6mSmQkN6deDPkQ/prfSW9SyeWOaPHnyF7qEhoaSSKRoNLlKEgJHjZRUjEhFRUASiZhCQ0NL1Ac/QkpKCuno6JKyioi4SjqkrCIiXV29L94ySkpFv68r5DxslooLh8PB1m3bMXfJGtRp7IUqzs1w+8FTTJs2DfXr1cPO7VvRwKkWpLcuIPT4Xpw9shODxkzGnKnj0Lx9dwwbNw3d+49E4OZd6ODlCSMDXVw/fxQv7l7C6bOhWLdlF6JevcHSNRtx9cYtNKrvjHp1ayM7OxvHT5xAQUG+wlzq/Px8SMQiBPhOBH3MxUvpI7g2bIicnBwAgEAggL29Pfh8/nfrNnPmTNSpXRvbt2xAk8buGDRokEJZcXFxaNzYHY5VrLF+6RyIeUpo5OoKFRUVDBs2HFXsbGGg/890wcauLnjy7Dn4fB6ys7MByMLV5ufnw8urLTxbecGhZk00dq2HMyFh8gh9WVnZCLt8DQ4ODsXqamhoCG1tbdy/fx9ZmRmYNGYo1NXVYGdjjal/Dsf2bVsV0uvp6qF/r26I/isWpsZG2Lx6MYyNjBQ+OB48eBC6WiLsXLcMbVs2w7t3yZg/czJ4PHVoa0kwe+o47Nu79wtd6tati/z8PFChbHMDIkJhYSY4HDUQ5YMoD+fOnYeBgcEXecuKWCxGRMRNdOvqBWsrbXh3a4tbtyK+Os2TpXhYg/0fplq1angRFYXVa9dh34GDuHb9Ok6dOgVrC1NIRJro37ObfEqWU20HSMRi+AYsRXp6Bjbv3I8a1exwNzwIp8+GYvLYYbBnKsPU2Ahnj+yC/+JVaOLljWs378CptgO4SlxwuRwQEVJSUqAhFGL0JD/EJyTh3sNITJ41H33/6AoDfT2oqKhg44r50NfRwpEjR36oTg8ePMD6dYF4cOUMDm1bi8fXzuFK+EUcPnwY/v6yTYSdnZ1gbwpi1G4AACAASURBVGONMUP7w7FGNfjPmABzU2OcOHECdnZ2iHr1Gi9evpbLPHziDJSUlaGhIYKdnR0SExNRu1YtPHlwGw625jh98hjyCwpwLeIu0tLT4d66KybNDEC1es3RrHlzeazxb6GkpIT8/HyFc/kFBfjw4YPCuf+xd93xUVTf98zM9tmenlADJPTeO0gv0jsIKuWLSFOaXUBEiiAICEhTikCo0kFAka4UKQkt9A4hlJRNsrvn98cuS5YkEEAk+sv5fPYDm515c/e9fXfe3HfuuR9+9BG+m70QZUoVR84cweg/9HN88OGHXsecO3cOJYsVhiAIkEQJgiDAlkqqND4+3kt3+yFkWcaSJYuh1dgg62wQeAuS6IRer4RKcR9jx45BmTJlMjMMz4U8efJg/vwfcfLkCfz44w/PXTT4/zNehIedjX8BFAoFqlSp4nl/+vRpVCpXCkeOn8Dho5GoVa0yAODuvfuIiY2FPcWOSuVL4+z5i5g2ez50Oh1OnTmL12o+aqNE0UKwWsz4duwI3L1/H937DkGLJg2wY/c+fD93PtatW4cypYoj0WZDgTLVYTYZMbjf/9C8ST207fYOXm9UF4IgoHB4Ply6dOmZvs+vv/6Kpg3qeASl9HoZbZs3xkcffohSxQpiw7J5uHnzNt56dxB+Wv4zOrRy0RYD/H0RGxsLk8mE0aO/QvVGbdGoXi2cOHkax0+cRqHChbBi5UoIgoBp06ahTo3KmPb1FwCAt7u0R6EKr6Fho0ZYunQpkpOTceX6LXzx5Wh06dIlU3YXLVoUfv7+GPb5VxjcrxfOXbiET0aNR1xcAlavXo1mzZoBAHr27InAwEDMnTMbJDF2/Ndo3ry5V1s1atTAW926YuiA3jAZDXi9YR107tEf4774CHFx8eg3bDh6/a93unY0btwYN25cxx9//IGQkBAkJCTgzJkzqFixIkJCQp5pLLLxCpBRrORFX9kx7Mzjn7Rx6dKlLFu6BPduWUU/XyuHDXyH0yd8yeJFCzNnjhCajAY2b1yfv29YxgUzJ9FkNFClUtJo0NPHamHndi353js9qJd1VKtUNJuMBMB8+UJZskQJFi5UkAMGDKDZbOKva5dw/7Y1DM2Ti75WC7UaDTu1ac6Eayd56fg+hgQHPXP5sJ9//pnlypT0bPy56Hb1qNNpvcpvrVo4i+VKu7Q29v6yihaLmZcuXfK0c+rUKU6ePJnz58/nlStXvK7RsUN7zvp2rFesuknDuly2bBkTExOfWwslOjqaRoOBsqxj/ry5OX3Cl1y58HtWqljhmdpxOp0cOHAA/f182bRRPfr6+LBMmdK0WiwM9Pdnhw4dmJSU9Fw2ktlz5u9A9qbjcyKrDyz58m28e/cuhw4dygrly7Ftm9asX78eQ/PkZpP6dWg2GVmqZAkuXLiQAGg0GLyKGLzVuS1z58zBnRuX89SB39i2RRPmCAmi0Wjg+fPn6XQ6GRERwby5c3H1olnc+8sqvt6oHiuUL+equK1z1Yxs3749+/fvT6vFwtdqVqPFYuaIESPS2PrgwQP+8MMP/Oabb3jmzJk0n6ekpLBypYps0qAuZ307lp3atmS+fKH09bEy8fopj92/rFpEs8nEfHnz0N/f75n0l6dMmcJ6tWt42jt3ZFcah/88uHHjRhrmzl+7NjFP7tzpHp+SksLvvvuOzV5vyh49evDIkSNen586dYoRERHct28f8+bJw64d23Dq+JGsVrkCm73e1Guj8lmQPWdeHNkO+zmR1QeWfLk2Op1OVq5UkZ3atuC2nxdzwqhP6ONj5eLFizl37lwvydbg4CDmeYzWV6xwONcsnuN5f/9SJHVaLWfPnu05r3q1qlw+f4bnmPN/7aJWq+GA3t1ZMCwfTUYD1WoVg4OC2KdPH65du5aXL19OY+v58+eZO1cuNmlYl93f6EAfq5UTJ07k9u3bvTjScXFxnDhxIjt2aM9Ro0YxJiaGFSuU56dD+vPckV3s1+tN5gwJZt26dblv3750KW5PQmJiIuvWeY2FC4axfetmtFos7Nq1K+fNm8cbN248xyi44HQ6WbRIYU77+gtPEYO3Ordj79690z3+zTe7sUrFclwwcxK/+HgwfX190k0+GjVqFLt2bOPp//irJ5gvbx7u3bv3uez8/z5n/g68LIedHcP+j2Pv3r2IvROD7asXQBAEVK1UDjGxd7F7925MmvRIIOny5cu4f/8B6HRi/pIV6Ny2Be4/iMONWzHQpirYqlQqIMs6mM1mVK9WDTExMbh46RK06u6eYzZu+w1VK5bFstVrMfLjwejYuhmuXr+BBq3ewIa1P2PTxg04eCit5snw4Z+jY+umGP7Be3A6nbj/4AE+/ugjFAzPj+hzFzB58rfo0qULZFnGgAEDvM5dGrEMrVu1wvgpM9GqaUOMHfEhft6wBT179MD+P/54pj7btWsXYmJiXLUpHU6o1CpcOHsaa+/FYODAAZg/fwEaN278TG0CLuZOtzffwmejv8L4Kd/DZkuC0WRCy5atcODAAZw9exYk0ahRI8TGxuLn1T/jzMHfPHoxarUKX48fh/kLFnq1e+bMaZQvXdzzXqlUolSJojhz5gwqVKjwzHZmIwsjI0/+oq/sFXbm8TJtXL16NevUqu61ap4xcTQ7dmhP0rXqO3bsGPv27cue3Tpx8dypDAzwo5+vD3VaLQvkz88qFcvx/NHdvH8pksMG9mGxokWo02pZu3plmk1GGvR6GvQyF8+ZwsljhjNf3tzMH5qbxQqHe133h+kT2bBOTWq1mnRXlcWLFeXeX1Yx+VY0F836liWLFWHMub+YfCuah3dupNls8koDfxyfffYZmzdu4FW8oEbVSoyIiMh0f505c4a+vj5c9uN0xp4/yjlTx9No0PPayT/dIv9LGBIczJSUlGceiwULFjDA35+fDOnHJg3qEABVahMVCj01Gg1r16jCBnVqMSDAnz/++CNLFCvq1X9rl8xlzRrV07Q7d+5cVq1UnvFXT3iSfHysVi9O+bPg//uc+TuQzcPOxnOhRo0aOHD4CHbt/RMAcCf2LqbNWYDXmzVHTEwMqlerikYNG2DxT4sgSa4SXheO7sGO9RFo0rAO2nfogJjY+wgtURVBBctizabtuHfvPmrXqIzT0efw+8bluH32MBbN+hbd+w7F4uU/Y2j/3ihbsjjOX7yMmDuxHltiY+/i0JHjoJOIWLoEly9f9rK1WLFi+OXXXQCAzdt24K3ObWFwK7oVDi+AGlUqYfv27bh06RJGjx6NTz75BMeOHYPD4cCyZcuwYsVyFC74SOrTxUTJj4sXL2a6vxYtWoT2LZvi9YZ1Ics6dG7bAnVrVcOqdZsAAFUqloUgAEuXLkVERAROnHBx29u2aY2JEyciISEh3XZJ4oNhw7BywQx8Mrg/Yu/ehyCa4HDK0GoUGD/yI2xc9iN+/mkWRn7wHqZ/Nw3XbtzwVG+32+2YMW8R6tStl6btTp06wdc/EMWrNECH7v1QunpjDB02DHnz5s30987GvwQZefIXfWWvsDOPl23j+vXrGRDgz0LhBWg2mzhw4AA6nU6+/fbb7PVmJ9punOaxvb/QbDJy6+qfmHTzDNcsnkOz2cQcISEc1Lcn75w7wp0bl9PPx0qdRsNa1Spx1CdDvDb5QvPk8tr4a9GkAcuVLsG/dm3i0nnTaDIa+PWoj3nx2F4O7teLxYoW9dIXOXHiBAMDA9imeWNWrlCWvbp19LRlu3GaYQXyuVKcZT3VGjOVKhN1OpnVq1Vj6ZLF2bNbR+YIDvKkdl88tpdBgQE8fPhwpvvq888/Z///veW1sm3drJEn7hy1fxu1Wg2LFi7IRvVqU6vRsP5rNfjD9IlsVP811qhenQ6Hg2vXrmWRosVotVrZvn17njt3jiqVyrPhaDaZHgkhiaJXGbW4K1EUBIEbN26kj4+VlSuUY84cIWzUsEGGFeedTif37dvHhQsX8ty5cy/0e8meMy+O7E3H50RWH1jyn7ExKSmJhw8f5s2bNz1/CwkOZtT+bR5HsXTeNMqyjmq1mrly5qSvrw9z5Qimj9XCdi2bMu5KFKeOH0mL2UR/Xx8O7tfLc+7Mb75iiyYNvBzd1198zIAAf5qMBpqMRv7vrc5e4YoihcK5e/duLztv3rzJcuXKUi/L1Go0HNzvf1yxYCYb1a1Ng17P8hUqUpDMqbQwzPT1sfD+pUgm3TzD9/v2pEEvs2rF8jSbTRw1atQz9dPJkyfp6+PDtUvmMuHaSS6a9S21Gg27v9GBIz58n4EB/qxYrrSHVrhz43L6+/nwweVI2m6cZrEihfnNN9+4NDskK0WFP1VqEwsWLMQSxYtx4feTmXwrmgUL5KcgGt2aGkZuWPajp282r1zA8LACJF0brL/88guPHj364j+CTOJVzpnjx4/zs88+45gxY9LdmH6IrD6vszcd/0M4ePAg9uzZg0KFCqFWrVr/yDVVKhVKlCjh9begoEBEn7vgqRJTpmQxKBQKREefRbmyZTFt/Eg0b1wfiYk2tOn6P0yeMRdmkxHh+UNx+dp1TJ31IwqG5UelcqVx4PBRbNm+A9eu30RQoD9stiQsiliNhIRE3L17F+XKlkHp4o8q4QiCANVjleABwM/PDxs3bkJQUDBSHHp8+/1izJy3FPGJDigUTkRFRUIQNF7nlCpWxJPZN/rTobCaTNi25wCOH49EcHDwM/VTWFgYfpw/H4MHvY/jkVEoU7oUfpw/H0ePHkXMvXuwWK348pMhnlTx8mVKwsdqRdSpaJQsVhjFCodj/vwFsCUpIIguO+0OCZevXMU3E79G3yGDMT9iFU5FnwWdgJMpiEtxoE3X3ujX601ICgkz5y3CtO+mA3BlJ7722mvP9B3+rfjpp5/w9tvdYbcrISlEjBz5BbZv35apTNL/N8jIk7/oK3uFnT56936HOp2eOp2Ver2JNWvW4l9//fVKbFm6dClzhATz+0lj+NPsKSxRrAg/++wzHjx4kIXCC3itltctncfSJYoyT64cbNO8Mdu2aMKF309m2VLFmSMkiAaDnjqtlhazic0a12POkCA2qluLuXLm5LVr19i+fXv6+/nys2EDee/iMU4eM5x5cufOcPOuceMmlBSmVCJFvrRYLKxVqzZFyeS1wpZlnacifOL1U6xTsxq/++67TPdDVFQU3+jSmeXLlWX//v091L305GA7dmjPcSM/8vTL1RN/0Gwy8uqJPxh9+Hf6WK2sVq2G11OApAym0Wjltm3buG/fPk6cOJEajZaiIpCCaKIgGgnRSLPZwoEDB/LgwYNMSkryiEb903gVc8Zut9NisVKUfB+NrWRi5cpV0j0+q83rx5G96fgfwKFDh/DDDz/AlqxHUooGCTYd/vzzEDZt2vRK7GnTpg1mz5mLDb/uwY8Ra/DeoCH47LPP4Ovri5u3YpCYaPMce/HyFVy4eAWVypXG5m07cPrMOZQrXQIblv2IxvVqo0b16uj1v14oFF4A5UqVwPAP3sOtmFjUr18fpUqWgFmrwBcfDcK6TVsRVLA85ixajnXr10OhSP8hb8KEr2E0SNBqkqBSJkKtSsDMmTMxdeoUGA0itJokqFU2aDTJaNWqNUrXaIy33h2CcrWbgaIC3bp1AwBcv34dY8aMwdChQ7Fnz54017l8+TJq1KiOsNxBGPvZYCTH3UG1qlVx9uzZdEtfDfvgQ4ydPAMfjhiL6XMWoFrDNhAEAW+9OwRlajbBRx9/jP79+0KnccIlqEQ4nQkQBCd++eUXrFq1Cm3atIFSqQDggCjJECU9JFFA9erVMWHCBGzZsgVWqw+Cg0OQL19+/PGMtMR/I2JjYxEfHw9BVHn+JghqREZGvkKrsiAy8uQv+speYafF9OnTqZN9vFZegmhk27btXrVpadChfXvWq12D65bO43cTRtFsMtJkMLB4kUJcPn8GWzVtSLVKRaVSyfbt2jImJobJycn8/PPPWSB/PhYMD2f+fPlotZj5dpd2XhtqQQH+zJsnFxs3auRVdOFx3L17l7Nnz+Y333zjtZF29+5dzpkzh1OnTvXEOSMjI/n5559z69atnpVxVFQUAwL8+XaX9vxoUF/mzBHCCRMmeF1j+PDh7NG1Aw/uWM8rUX+wY5vm1Go1tFotLF+ubLrUuDNnznDw4MHs1q0rV65cycjISK5atcqT4u50Ojl8+AjqdDqqVGr6+vpRo9FQUhip0ZppNls4evRoarU6qlQmyrKVZrOFJ0+e5Lp16yjLBooKf5f+uGShyWTOcLPxZeBVzBmHw0F//wCKkk+qpyoTa9dOv5hCVprX6SF70/E5kZUG9rfffqNeb/IIyIuKIMp6Cz/77LNXbVoaJCUl8auvvmK1qlXYqmULzp8/nxcuXGCH9u0ZFBTIihXKc8uWLR7nmJyczBMnTvD+/fskyb59+7Jbp7Zs3+p1fj9pjLcuR4M6XPj9JJYqXpSNGjViz549uXXr1he2+fGx7tSxgxeT5dSB32g2mzw2kmTdunWpUqlo0BupUChYKDw/Y88fpe3GaY76ZMgz63ykRlJSEi9cuECNVuthhEjKYEoKE1u3bsPIyEiOHj2a06ZNY0xMDEmyVavWFETvyixGkw/XrVv33HY8K17VnFm7di21Wh11spV6gw9NJnOGJcSy0rxOD9mbjv9i2O12bNu2Dffu3UO5cmXwxx8HEZ/ggE6nQHCwH5o2bfqqTUwDlUqFoUOHYujQoQBcBZVz5cqFRT/9lObY9evXo/vbb0OjUSH27j0MGjQYmzdtxIIZE/Hnob+wYOkKdGzTDEqlEucvXsbOPfvRpW0LnLtwEQ1eqwGLxYS33+yG9wYNRt++fZ/JzoMHD2LJkiVQq9WoUqUKChUq5Pns+PHj6NOtred9nlw54O/ri0uXLqFw4cI4f/48fvttB+xOExxJShAanLtwBUcjT6BiudJ4r093jJ8yE9euXUNQUNBz9WFcXByUChVS7I+mGqnEgYMHUahQIS97AdcmY5pIDJ2Z0gn/t6Nx48Y4deokVq1aBa1Wi1atWsFsNr9qs7IUsh32S8b169dRuXIVxMTEAhBht9swcOAA3L17D8WLF0Pnzp1x4cKFV23mcyMmJgadO3fC8h+mo2qlcrh89RrqtegCWW/AqTNn0aVdS2z45VcUqVgHeXLlxOGjxzHyo0GYPncBJo0Z7pE/bVSvNmo2aYdevXpBpVI95aouLFiwAIMHvY+3OrfFg9sx6NixA1av/hlVq1YFAJSvUBHL12xA2VKutO2/jkUh9t49hIaGAnDdaBRKGY5kJQBAEBRITlFg1brNqFiuNB7ExcNut7+Qs8ybNy+cTgfIFAiC6zqimILKlSqle3zfvu9i2bJlsCUlAoISkpgMq9WCatWqPbcNz4vk5GRs3boVDocDr732GrRa7Uu/Zo4cOfDuu+++9Ov8W5HtsF8y+vfvj0uXb4EwAADoBGbMmInr169BkqS/9VrJyck4ePAgfH19kT9//qef8Ddg8+bNqFqpPKpWKgcAyBEchF5vdsTv+//Cex+NRMydWLRt3gSnzpzDmXMXkTdPLiQkJuLw0UiUL/2IZlggNA+cDidiY2MREBDw1Os6HA4MGzoUqxbOROkSxQAApUsWxccffYhff9sBAPj0009RvVo1HDl2AkGB/li7aSu+/XYKNG5tFB8fHygkAUmp2iUduB1zB3v/OIhRX09B27ZtYTKZnrt/tFotpkz5Fu+80weEGqII6GUNvvxyVLrHly1bFitXrsCgQYNx/vx5lCtXDj/8MC9Tv5WUlBQ8ePAAFovFq0LN8+DMmTOoUrUqbIkpgCBAEp3Ytm0bSpYs+ULtZuPFkM0SeUmIi4tD48ZNsHRpBOwpcXDYb4N0QBDVSEhIfKZ06fRw9epV3L171/N+9+7dCAwMQv36jVCsWAk3x7s2unV782/Zab958ybmz5+PuXPn4syZM56/WywWXL9xC+s2b8OCpStx63YMrt+8hUKFi2D5ipXY99cJLPl5M4Z9+DHOnjuHIcM+wuXbcQgvWBA/Ll7uaWfd5m3w9fWFv79/puyJi4vD3Xv3UCoVt7tapfKIOnHC8z4kJATHjh/H273eQcVqtXHw4CF07NgRycnJWLBgAX777TcIggOiEO8qm8V4aNTAiegLeHfocFSp8RqmTfvuhfuuW7duOHLkL4z+8lN88vEQREefeWK1ldDQUPfYiti//w/UrVsP165de+I1xowZA4vFiqCgIBQoEIYDBw68kM09evRETIwN8YkaxCeoce8+0aXLGy/UZjb+BmQU3H7aKywsTAwLC5seFha2Jyws7NewsLD8zN509KB79x7UaE0UFYHuauN6QlBTVPhTq9UyLi7uuWw8e/YsixYtRrVaQ7VazXbt2jM+Pp6+vn4UJVeBVQhaQlBSkCxUKM1UqdTMnTsPfXx8PUV4Mwun08kBA/rTaNDTYjbxtZpVaTaZ2L9/f5LkpUuXaDIaWKZkMTZrVI8GvUyDwcDff/+dHdq3Z0CAPytWKM/169d7tXvx4kUWyJ+flcqXZYM6tejjY+Vvv/32THYVDA/nqoWzPJuKY0d8yKZNGj/xPIfDwfr16rJqpfIcM/wD1qhSib6+vgwNzcdWrVrxxIkTmbYhs1i6dCmLFy/B3Lnzslev/z1V7rVs2XKUFK7NaVERRKXKxCZNmmZ4/Jo1ax5jlphpsVieWVb2ISIjI6lWaygqAh8xNhRBFATxiayefxL/XzcdX8RhtwwLC5vn/n/FsLCw1cx22B6YzGYvZoCoCCIA6nR6jhgx8rltLFykCCWF2T2ZA6nVmdizZ08aDCb3dfwJiJ7JJkpW13t3mrRaY2blylUzfb3Vq1czd84cDM8fyjvnjjD5VjSvnzpAH6uFw4cPZ69evdiv1yPtjd/WLaWfry8Lhofzg/feZfTh37l8/gwG+Ptx//79Xm0nJydz/fr1jIiIeK7q2du2baPVamGrZo3ZsG5tBgT4e+l7p4cNGzawRLEiHs2TpJtn+FqNqpw3b94zXz8zWLp0KXU6vav/JV9qNEa2adM2w+NtNhtFUfIwiVxjGkCtVpfhOc2ataAgPc4ssXLTpk1ex23atIlvvNGVAwcO5KlTpzJsLzIykqGh+TwLAJcNvrRafV5JIk96+P/qsF8khl0VwEYAOHny5N7w8PDs/NFUkHUyHjxIAjyhRCdEUcLixYuemxVy+fJlnI0+C8LsjlEKSEpSYv36jUhJSQKpdQXJIUEQXNEupzMegmTypEmn2CUcOnQI0dHRyJcv31OvuWHDBhQIzYMK5UpBr5cBAFaLGW2aN8bo0aORLzQv5kz+ynN8pfJloNWoIQrE8A8GAgByhgTj1Jmz+P7771GuXDnPsUqlEg0bNnyuvgCAWrVq4eTJU1izZg00Gg1GFCiAggULPvGcqKgoVKlQxhMTFgQB1SqVe2kJGl98MQq2JJWn/5PtCvz882rcuXMHVqs1zfFKpRKyLCM+0QHPFhPt8PX1zfAasqxD6og1SdDp9NokHDnyC4wZMxYJiQIUChEzZ36PX3/dnmHa99dfj0enTp2RlOwASWjUTowd+80Lx8ZfBFFRURg0aDAOHTqEggULYvr07xAWFvbK7HkVeBGHbQSQuuSzIzw8XHHy5ElPaeioqKgXaP7vgc1meyV2dO3aFd98MxlJyQQgQKVKQovm7ZA/f/409mTWxrt378LhdABwtemCE1qtBrVrv4YNG7YAggzADjqTIIhqAIQA70kmCAKOHz+O5OTkp15ToVAgxW7Hob+Oef5GEgf/Oob8oXmg1cnY/ccBlCrhiiVfunIVt2Pu4EFcHKo3ao1+vd5C62aNIOt0uHXzxEsZi4oVKwLIXD8mJSVh5ZqNGPnR+zDo9a736zbj7R69Xoptt2/fhvdWketGe/jw4Qypgj169MB3382ALdk1PTWqZPTu/X6G9jVt2gQrVqxAcoroZpYkwWw2wWq1IioqCgkJCRg1ahRSHCaIkgQngYTEePTt2w9z5sxO057NZkN4eDjmzp2DJUuWwG53oHXrVihbtuwrm9OxsbFo0KAh4hMEQFDh5q0/Ua5ceWzevAlGo/GV2PQkvDS/k9HS+2mvsLCwCWFhYW1Tvb/M7JCIB06nkzNmzGBYWDhz58nLL774IkPdjGexsXXrNtTqTBQlX4qSlTqdnj/99BOPHj1Kq8XMcqVLsnyZklSr1dTpDBQEgZKkpqgIcD1mK8zMkydvph9tr1y5woAAfwYHBrBVs0b8ftIY1qtV3a0hEsxZs2bRx8fKAb3f5ujPhjI4KIDFChfk/m1ruHrRLObOGcJvvvqceXPn4oYNGzL9PZ8HT+vH06dPU5b11Gj09LFa2b5VM+YIDmLrVq1ot9vTPefOnTv8+OOPWb16TQ4ZMsRL7TAz+PDDD13j5d7LkBQmFipc+In973Q6uXTpUtasWZv169dPE/9PD+vXr2fRYsVpsVjZqlVrr8LCZ86coSwbvEImosKPOXLkSretrBhumDRpElVqo9d30OutnDlz5qs2LV1kxRh2q8di2BuY7bCfC89io81m47Bhw5gzZy4WKVKUixYtIulyLCaTkacP/MaGdWpRqVRSFEXq9Xr26NGTGo2GSqWKxYoVf2L8Mj1ER0ezYcMG1Otl5soRzLYtmrBC2VIMCgygyWikv58vAwMC2LJFC+r1slf18sVzptJsMrJc2TLptn327Fnu2LHDaxP2eZFRP966dYuXL19mv379qFSZPWJSgmikVqvn9u3b0z3PZrMxX7781GjNFCUL1Rozg4NDvDIlnwabzcY2bdpSrVZTo9ExNDRfmuLCGd0s/i6kpKTQavXxSvtWqkzs2rVbusdnxTlTvXp1CqLs5bCVKiPHjx//qk1LF1lR/GklAFt4ePhuABMBDPx71vz/bSQmJmLixImoV68BBg0ahKtXrz7T+Wq1GqNHj8bFixdw7NhRdOjQAYCLXte9ps3JrAAAIABJREFUe3dUrNsCv/z2Bxz0AcQA2JIkREVFITY2FtevX8ORI3+hQIECz3TN0NBQfP31BBw5chT5CoRh+++7cffefRQsEIpzf+3EpeN78fGgd3Hs+DHoZRlq9aPEF6vFhJCgQC+RpxMnTqBdu/YIDgpC6dKl8P7A/sidOxdWr179THY9DfHx8WjSpCly5MiJ/PkL4Mcf58NuJwBAEFUQJT2USjViYmLSPX/VqlW4efMOklO0EEQt7A4d7t1PxOLFizNtg1qtxtKlS3D16lWcOnUCa9b87Nk72LRpE3LnzgOFQoF8+fJj+/btac6/c+cOfvvtt6fS+tKDw+FAREQEevd+B61atYRalQhZmwxZa0NwkAVffTX6mdt8FbDZbNi3bz/oTATpkuMlk2FPiUOzZs1esXX/MDLy5C/6yl5hp4XT6WTFipWok80UJDNVajN9fHy5Y8eOv619nU5Ow05RKBQvvIKNjIzk/fv3aTabePrgDpYtVZxbV//kVZAgwN+PYQUKcOzwD5h4/RSvnzrAmlUrsnTxovzggw9IkufOnaPBYKQgalmkUDi/HvUJZ08Zx80rF9JiMT/T6jU9G1Ojd+/eXtRKUdJRFJUUFQGeVbZWp+OdO3fSbW/cuHFUa7xlUkXJwI8++uiFbYyOjqZOp3Ozd4Lc4S3ZK5TxzTffUKPR0mT2oVqt4eDBgzMVyrLZbNywYQOrVKlCWTZSEI3U6SwMCAjkzJkzuWHDhifWpMxKc4Ykb9++TZVKTUE0ERA9L1k2vGrTMkRWXGFn4xmxc+dOHDseCVuSFqKog8OpQ3yCA0uWLPlb2hcEwcU8oDPVX52QJAWUSmWa42/fvo01a9bg6NGjmWr/woULCPDzQ+6cITAZDbhx67bns8REG+4/eABZb8Dcn1bAN7QE8havgqhTZ6AzGDFs2DAArszP+HgHNGqXqP/hI8exat0mvPnO+8gfmge7d+/2tLllyxZ0faML3nrrTezcufOZ+2Pp0ggkp6ggCCIEQQBhBOGAUroHnSYBejkFS5csgcViSff8OnXqQBJTQDoAAKQTWg1Qr17auorPbttS2B1KCKIGgiBAEDUgVFi+3JVMdPLkSXzwwYdIthsQF69GisOEadOm49dff31iu5GRkciRIyfatOmAXbv3uyVLNUhK0eL+/SRcu3YNDRo0yFDWNivCarUiNDQUgiBAVARAkHygUMpo2bLFqzbtH8e/Z9T+A7hw4QIEKLyoUUlJTly48GJZj6kxdOgQDBv2ERJtLiaJRpOCrm+8CYfDgW+//Rbbtm1HmTKlYTabMXjwEKjVMlJSbKhevRpWr171RB2PfPnyISY2FkeOn4BGo8G7gz+BIAgIDvTH8DHfQBRFREZGYefOHTAajTh8+DBy586N8uXLQxAErFu3Dhs3boKTagiCHSsXzPGktI+bNB0Tps3yVIiZOXMmRo/6Au/16Y6UlBS0a9sGkyZ/i9atW2e6LwwGA2Lv3vcQagSBUCpUOHPmNGJiYlCwYEGo1eoMzy9ZsiSGDBmC0V+NhkajR5ItHr16vfPcuh42m81TpFeSJNcmUirQ6fRocG/evBkQNBAEhdt2CYk2Vx8+qUrRG1274c7dFAiCDpJCB6cjDk7HPUgKH9iSicOH/3ou218lBEHAsmURqFOnLuLjE+F0OpAzZw5MnDjhVZv2zyOjpfeLvv7pkIjT6eTu3bu5YcMGxsfHe/6elR7vLl686K404i6+qgikrDdx3LhxL9Tu77//zpo1azF//jAOGjSI3377LQsWLMQ8eUI5atQo2mw2lilT1hOK0WhNFASBosLPEzbR6UxPrNLysB8XLlxIs9lESZIoiGYaDRYajWYqVTrWr1OTGrWaCxcuTHP+999/T4NBz3Ytm1KrlamXZS/J1ch9W2mxmEm6xjIoMJB//rrO8/nG5T+yWNEiT+yHx8d6xowZrgxAyUpR8qHOnWT0rLh69So3btzIixcvPvO5JJmQkMAOHTpSpVJRoVCwfv0GXLNmDQGBgmRxVZ6RzAQET/WhZcuW0WC0eiXQ6GQLv/nmmwyv43Q63eOaOukmkABcUr6ymVOnTqXT6XziRmdWmjOpYbfbuWfPHh45coTHjx9/1eY8EVmOJfK01z/psGNiYlikSFEaDCaaTD40GIyeuHBW+/FNnjzZFZc0+VKnk9m2bVseOXLkudvbt28fdTqZgmR2ZdJpTaxSxTuTcf369TQYzI90uCUrBUHlXUhBMlOn06cbT9+0aRMbNmzAFs2bcfny5Vy2bBm1Wv1jsV0rSxUvxsIFw7h8+XKv82/dukWTych2LZvyq8+HsfsbHajVaLwc8tTxI9mwQX2SLh1phULBhGsnvUpxGY3GJ/ZFemM9b948Fi5chHnzhj6RWvl34JdffmH58hUYEpKDPXv29MTG+/Tpk4raF0i1xsywsHBKCpmAkoBACCqq1UZOnjyZpKsPQkPzUaMxU5SsVKpM9PPz8+hmx8XF8ZNPPmHJkqXYsmUrj6N3FQHwTTUuPhQEiXqDiRUqVOSwYR9QlmWKosjatV/j1atXSbqKPezcuZNJSUlZbs6kh6xuY7bDfgJ69uxJtcbbIfn7B9But2eJgU1KSvLaLLp+/TrXrFnDcePGMSgomIIgsGTJUuzduzfbtm3HuXPnPlWz4caNG1y0aBGrVavuVeNQVARRJ+t57NgxOhwOjhgxgjqd7FrNiTq30/Bzp68/WolBkAlBRUBggwYNuWfPHi5cuJBff/01c+YI4fQJX3LO1PEML5CPo7/8klqtzmuFrtGY+F6f7vT1saahDW7YsIG1a1Tl9jVLGBIUyJ0bl3PsiA9ptZj5/rs92aNbR/r5+fLAgQOec6pWqcyp40d6HPbwD95j82avP7FPXuVY79mzx33jtFBU+FGtNrFkyVJ0Op00my2PbQQHUhAEwpUBRQhKigpfynqr11NOTEwMhwwZwnLlK/Cdd/rw0qVLJF0r6cqVq1CrczlzSWGmLOsZGRnJH374wZ0Kb6IomajV6tijRw9u27aNU6dOpSyb3JojgVSqTCxRoiRr1qxFnU6m0eSqfLNgwYJX1Y2ZRlaY109CtsN+AnLmzE1R4eu14tPp9Dxz5swrHdjDhw+zSNFiFASRVqsPZ82a5fls165d7onl4xaHMrp2v0UjZb2ZDRo0zLDdJUuWUKvV0Wj0pSQpKUqWNDoSO3bs4JgxY9wT1I+iIoAQNBQEV/FX13lqCpKZgii7Hbg/AQV1OpkBfr5s1awxjQY9O7dt4XGcR3Zvpp+fL2fPnk21WkNB1FCt1jI4KJBVK1dg8+bN+O6777J4saJs9npT7tu3jydPnmSAvx/vXjjGudO+Zu6cIRQEgcFBQezRowdHjx7tKfX1EMeOHWPOHDlYsXwZli5ZnAXy5/cqE5YeMjPW586d4w8//MAdO3ZkOnno6tWr7NWrF4sVK8633+7ucZyp0bp1awqi8REjRRFEvd7IgwcP0s/P33Nze6gNAoCC5OsRawJArVbL0aNHc+fOnU+07eDBg26xp0c3XIXSzLfffpukq7JRp06d2blzF+7cuZOki5Xi4+P7mD5IEBUKJdVqg9dix2yxvPCTyN27dzl+/Hh26tSZs2bNem4hqoyQ7bD/xQ67WrXqXlWqRUUANRoN7927x8jISDocDm7bto1LlizhrVu3/hGbEhISaLFYKEoPhZp8qdPpPYp0b7zR1Wtl7Frlqjw0L1k2ML0+jI+PpyzrPQ5AEE3uFdojsSez2UybzcacOXN5Px4rAgkI1Gh1bNu2LYsXL+FS9RNlj9IbIDJvnly8e+EYk29F89rJPxkU4M/929Yw+VY046+eoFKppM1m4+XLlzlq1Cg2atSIjRs15KRJk1iyRAn2erMT9/6yitO+/oK+vj6MjIxkt65vsGzpEvx27Aj2frsLgwIDefHiRf7555+cM2dOumGhpKQkbt68mdu2bcuUA3naJBk/fjw1Gi0NRl/q9a7QUWJiYrrHOp1OHjt2jPv372dAYCBVahNFyccdmvBPo3hYtGhRN91MICBRlKw0Gq3cvn07R44c6b5x+rrGTaEloHSPnYYQdAQEqlQa6nRWyrKBLVu2pMPhoN1u59atW7lkyRLevn2bpOuJxWR6rDaoZGb9+g3S/S5Hjx6lXm+gICjSOGxBECmI3tRFnWx4oTDd/fv3mSdPXup0ZgqiibJsZpUqVdOtQv+8yHbY/2KH/fvvv1OnkykpTBQkM2W9kYMGDSJJ7t271x3fNtNo9KVGq+WyZcteuk1r1qyh0Wj1mgiiZGSXLm+QJLt165ahw5aUwTQafbl48eI07e7bt49Gk8Vr0rlWziL1eiP9/Py5a9cukmRwcIjXk8dDTvbu3btJulZiOp3sUfITRJmSpOSID9/32hDs1qkNJ3z5KZNvRfPrLz5mjerV0v3Ov/76K4sXLcykm2c85348uB/79+9Hu93OhQsXslu3rvz000956dIltm3bljpZT73BhzqdzJ49e9LpdDI5OZlffvklwwsWYrly5bly5cpM9fmTJsnly5fdG74Bj+ppymZOmTIlzbFXrlxh4cJFKMsGqtVat3pegKcfZb2V06dP9xwfFRVFlUrtuTmKkg8BgSaTiUlJSXQ4HPzyyy8ZFBRMi8XKIkWKElAQgoqCZCEEvXsD8lGISa83MSIiguHhBWkwWmg0+lKr1XH16tW8f/++Kw7tzlwUFYGUZRPnzp2b7ndv1aqVZ24ACveNI4AqtYkmk9lL6U9UBFKlVvP69euZ6vP0MGXKFMqy929UbzDxl19+ee42H0e2w/4XO2ySPHToELt27cYmTZpyyZIlnkfKN998kxpN6sK3vtTrDS+9CvX69evTOGxJYeJbb71Fkty9e3eqkEigJyTiWo0HUKPRpstKuH79OtUab61iSWFi8+YtGBkZ6bX7/+mnn1InmygqAihIAVSpTKxTp65XeytWrKDJZHZvfKkJQcvXalTxOFzbjdMsGJafwYEBLFq4EPPny8eTJ0+m+51XrlzJerVreDn7b8eOYNc3uqQ5dt26dY8VJA6kLBu4e/dudu3ajTqda0UrShbqdHpGREQ8tc+fNEmWL19Ok8k7bCZI5nR1puvWrUel6uGTUZArZCRoUvW3gcOHD/ccP2LECCpV3jdfQdSyTp063LNnj1d4IzIykgsXLkx3DyF16rUoGVihQoXH9mZ8aTQaabPZuG7dOhoMRhqNFmo0Wr7xxhsZMj+KFi32WOhNIiDwtdfqcP369e6btomiZKEsm9j09WZP7esnoXfv3hREb90PnWx9IgvpWZHtsP/lDjsjFCgQ7qWh4Fq9WvjHH3+81OsmJSUxICDQrV0d6MlkS60J/dNPPzEkJAdFUaTRaPLEpTUa7RM1Evr27UdZ78pgU2ssNBiM6epAp6SksG3bdhQEkQCoVmu84uipjxs1ahTz5g1leHhB5sqZg21bNOV3E0axXu0arF6tKmfMmME+ffpwwIABnrDOpUuXOG7cOI4cOZInT57kvXv3aLVauGnFfCbfiuaFo3tYKLwAV61aleaaw4YNoyB6M01UajNHjhyZVjxfsrJo0WJP7fMnTZIjR464bpCpnKRGa/FkYKaGJEmPife7qHEPw22CKHmFq8aPH0+N1jusIAgaqlQyZdnIFi1aesIBkZGRXLt2LWXZlObm8fCm4FqRWlxPSI/9dg0Gk4cRkpiYyH379qWJ/z+OQYMGeS9aJO9Fy759+9iiRUtWrlyFU6dO5dGjR5/a109CREREmpuxVie/UJjlcWQ77P+ow65Xrz4lhfcjn0aj4Y0bN176tU+fPs2aNWtRrdYwNDRfho/2kZGRdDqd3LdvHxctWsQLFy48sV2n08mVK1eyY8dOHDJkCM+fP0/SJQAVHR3tWdHdu3ePRqPrUdiV/uwKPaRmY6SHu3fvcuzYsezW9Q1OnTqVx48fp9FopFZnoSgZKcsGdu/ew6V8pzVTpXLdbFasWMEtW7YwR0gI8+TOSbPZxE8//TTdDbR58+ZRlk0URLOLeiYF0mAwc+7cuW6HnZpL7MuQkBzp2nrp0iUeOXIkU4ygFi1aUtabKIgmanUW+vn5ex79f//9d/bo0YP9+w+gyWR+bJPQzx2bdlHwBEHwYsJcuXKFer2eguR+mvE8LQV6whtr164l6RrrmJgYarVaL5aNKKmpUmkpiEbq9WaWKVOWTZo2fYwBFEC1WuOh9j0JTqeTS5YsYdOmr7Nz587Mn7+AJyyo1Wq5YsWKDM99UWdot9v5+uvNKMsGGgyuUM7DEOXfhWyH/R912D///DP1egNVagsF0US93sS+ffu+arO8kNHg2u127tq1izt37nxiooPdbuebb75FtVpDnU5mzpy5eOjQIS5atIhGo/cKTaE0sWXLVpw0aVKmmRKdO3d57KYXQEGQvDd6JR/6+wfQ6XQyJSXFs+LOCAsWLHBteAlqAgoKgsTQ0HyMjIxkwUKFUlXVCaJGa+J7773vdb7NZuPrrzejRqOlXm9kYGDQU/cm7HY7Fy1axE6dOnPkyJGeDejvvvvOHZ4yUqkyU6lUUaORKUoWipKFgERBNLgU/qQAAiIXLFjACRMmcNKkSbx69Sr//PNPVqpUmRqNloKg9HL4gqj3rORTJyCpVGoqlFqKooIlS5bi7Nmz2adPH/7www+02Wz866+/XL9dlXvzTm/k++9nzvG9//77rqcwyUSF0kytVsepU6cyIiLCs3mZEf4OZ+h0Orl//37OmzfvqVWAngfZDvs/6rAjIyN59uxZvv/++2zfvgOXL1+eZcocPUR6g3vu3Dnmzp2HBqOZBqOZOXLkTCPL+RCTJ092sxACPTQxo9HI+vXrU6vzjiWKkoEKhYparSs2nDt3HlaoUJEjRozggwcP0tg1e/Zs5s0bSkH0jscDgtdG3MMNzcyINz3OdHGxFTRUqbTUanVs0KAB8+XLT51OT7Vaw0aNGjM+Pp73799njRo1KIoKCqJESaH1rMRd39nEXLnzUJIULFu2nCd08CSkpKTQaDR5OViILs3wSpUqU6VSExApSH701OaEQI1GS43WQq3OQr1ezz179pB0LRC8kpQUQdTrLZw/f77XWLuomTIhyi4qp2zk558PT2NfdHQ0Bw58jx06dOTq1asz9du9e/cuNRqN1/gIkom1ar321HOdTicHDRpEq9WHCoWCgUHBLF26DMeNG8ekpKSnnv9PIdthZxGHnZSUxD///POpcbnMIqsPLJm+jTVr1nIXYg1wxVMVZq8Mxn379rFq1Wr09w+g2ex6evB2qCIBrTthxuSJo7vYCL6PGCbu1aNWZ2bhwoU5cOBADhz4Hrt3784Afz92atuSuXKEUNal4uoq/CiKkje7QLIyJCRHphzK40wXD7NCULnZGybOmjWLp0+f9mTikWShQoXdlDmLi+2QKr77kJLo4UJLZprNlqeqFMbExFClUj0WgvGnyeRKk58yZQqVSrU7JAL35qxIQOW5viCZWaJESZKuG0D58hUo680URCNl2cIiRYp6eMgPxzp//gKP2e9PWZa9EqYcDgeXLVvGAQMGcMGCBZnmMp88eZKy/rGCBZIv8+TJ+9Rz586dS61W72KvQHA/WVipk81s3LhJpq7/TyCrz+v/Fw5769atNJnMNBrN1Gi07Nix4wsT+LP6wJLp2yhJkov69ZDbK8gEQKfT6a4g8jBm6k9BNDximEg+7vPgYgOIRoqiggqFgharDwVR+xibQU9BNFAQXRNUUphcFDBB5LxpXzP5VjTjrkSxSKFwarUydbKVGo2Wn376KY1GI2W9lVqdi6mwZs2aTH3fa9eupdlYFEQDBUHrcYANGzbyOufmzZuuVb37ZgNB/Rj3PjDNql+rM3HEiBFPre7i4qs/uoEolCY2auSqvu5wOFxVY7Q69/XVrtR+yeQubuxi+ahUak+bNpuNc+fOZffuPTh9+vR0tW1cq3pvGVxJUng+t9vtDA3N576h6imKaoaFhT+R3RQdHc127dozNDQfVSqN5yYuKoKo1pjZu/c7Tx0bF6PESkHQejE9REUQtVpdhk95/zSy+rz+zzvs+Ph4GgzGNNzSF6UCZfWBJb1tjI2N5cSJE91OWkdBCnRnximp0+lJuhgWKvXjrAQlIWjdTuWRxjIgUqM1cdq0aVy2bBn1jz2uQ1CmWrGmSqqQfJgzJMRDzxs74kM2btSIU6dOZXR0NEmXTnG/fv2o17tCF3q9IV1ec3ro3bu3ZwPwUaalKyyhVJnZp8+7XsdfvXrVyyG7bkyiW0PFhwqljoKgfKxPVNRotCxWrDhjY2MztGXHjh2UZT2NRh8ajVYGBAR6vuNDXL58Oe1Nxs3sgGhiwYKFMvV08XCsmzVr7pYKcId0RKMn1FKqVGn26tXL9TSRaqwEUZ1hSaw7d+64whhKV/k4SWGkIAg0Gi00GEwsUqToUzcrJ0yYQEEQXb8bQe31e5CUrgzah5mTrxpZfV7/5/Ww9+3bB1FUuAvHAoIgItEm4qefMl/d49+OW7duoXDhIvjgw88hiHqAyQDvQxAkiJIeBoMeixYtwvXr12G3O73O1Whl+Fhll75yKo1lCBokJz1AaGgoXn/9dRQqGAadJhFOxwM4HbcBCICgAWAHhFRSo4IKl69edd3VAezadwD1GzTAO++8g9DQUACum/2sWbORkKiG3WlFgk2DIUOGeWlaZ4SpU6fih3mz0bZNQ4QEW6HRyADtEJAAjdqJ997zLmAUFBQEq9UKOh+4bBJUgKCCWpmEwoWC8b9eb0GlkkBnEkjC6UwAaUdSihGnTl/A8OEjMrSlWrVquHLlMmbMmIIff5yDCxfOe77jQ9y9exdKpcpTjd7VAaJrjJz3ce7cOeTLlx9Hjhx56ncHgIoVKwBMgtN+E46UG6DzAQTJF8l2M44dP4t58+YBgsojxev6V41Nmzan297ixYuRlEwQMgRRBQh66GQLunXrgo0b1+Po0SPpVml/iLNnz+LDDz8CBBlOx30IggJOZ5xn/OlMAuhAmTJlMvX9svFykGUctr+/P1JSkj0/EAAQBCdCQkJeoVX/LCZOnIjY2ASk2GWIkgGiwhd02kDaQThx+3YMevfuj0WLfoJSkQLSVaCeziQISMHgwYOg1WrTtEso8MYbXREXF4edO3/H9OlT0Pfdt1CtaiWoVSJkbSIAAWTio3OYCK1Wi2mzfkTrrv/DkeMn0a1bN692169fD0nSpLrJKpGULGHRokVP/a6CIKBVq1ZYvPgnnD59CiNGfIJKFYuiS+eWOHDgzzQOEwB27vwdBr0STvt1OO3XYbXIiIqKxNGjR/Dtt99izJiv4OujgNN+DXQmQFT4QBQlpKQosGHDhifaYzKZ0L59ezRr1ixdjeyCBQtClnWgM9HdPwTwABBEiAp/pDgsOH/xDurVq4/4+Hjcv38fgKtM16lTpxAbG+vVXmxsLAgtRIUVgBOC5AtRVEIQBDicWiQlJQNMAt3FKEgCTESFCuXTtf/OnTtISnJ4/S0lxYng4GBUrlzZS4M9Pfz6669QKHQQRD0EUQs6EwCmgI4b0GkSoZftWLFiOTQazRPbycZLRkZL7xd9PU8Mu0aNmu6K4D4UJRN1OpmHDx9+5nZSI6s/OpGPbKxbtz6Fx4ScIKgehQwehoskX2o0Gsqynlqtjn5+/ty0aROvX7/u5gO7knVcG0ciRUVAhlrKp0+fpq+vHyWF3hUvF9SEoKJSqaJCoaRWq6dCoaNGo/UwIR5i2bJlaWiDKrU53WSU9JCYmMglS5Zw2rRpHi55ZnDixAkPd/3xfrx165YrTdwr8cbEpk2frPSXGezbt4++vn40GM2ejcjHtTlEUUGlUkWlUsmiRYvRx8fXneKu4TvvvMNjx46RdO3XuAScAt0bqaklBAKoVCopSUrXPoQgE4KCBoMxzcZjSkoK16xZw2HDhrnS6D1a637UanWZ/v1v2bLFi93iSiwyc/Dgwdy1a1eGmiuvCll9Xv/nY9ikK4792WefsXjxEmza9PW/JRsxqw6s0+nkunXr2KdPH/br149Xr17lV199RZ0udYw5gIBApVKVJtVXbzDx8OHDvHTpkhdHe+/evQwJyfFIttPj5A0cOHBgGjvWrl3rSaH3COkLarfovb9XvLZChYrs378/Cxcuwtat2/DQoUMMCAh0xU0V/i4dF1mfJv6bHq5evcrg4BAajT6ujUyt1kN9e148HGtXJqiJgmSiUuWy6dChQy/U9kOkpKRw//79NBpNbsbNo70EQTS4hbgCUlEAFV57Ml9++SVJ1/gPGDDARQ/UyB7BKFHyoU42sX//AVy5ciVDQ0Op1xvYsGGjNLUnHzx4wOLFS9BgsFCrs1KpVFGSFNTp9NTpZM6YMSPT38vhcLB06TIuwSZ3hXg/P79/TCztWZFV5/VDZEmHHRYW1iIsLGxRep9lJR52VsSQIUNYMCw/v/p8GHt07cjAwAAeOXKERYsW80xArVbHkSNHslGjxmky3jQabYaJKVFRUW696oBUzsLILVu2eB0XFxfHAQMGUKv1lup0sU4Eb1qYwp+SpHBpW0g+lBQmGgxG7ty5k9WqVaNCoaQoiixSpCgPHjz41O//1ltveelviAo/yrKeCQkJvHXrFo8cOfJUTfDH8XCsnU4nIyIi2LJlK77zTp8MtU+eFUePHuW7777Lbt3efKRlDdGVYPNQY1zyFttKvVHquulV8mrzwoUL3LhxIydOnMgiRYqyQIEwjhs37omJUg8xbtw46uS0N3i1Wsvy5Ss8c+HluLg4jh07lpUqVeagQYO8KJVZDVl1Xj9ElnPYYWFhk8LCwk6EhYUtTu/zbIedMa5du0az2cQ1i+fwxB/bmXwrmh++35e9evXyPOJOmTLFUwbp8OHD7gw6F81PkpQcOPC9J17joZSoyezSJunXr79XCOHgwYM0mcw0GK0uhglECpIvBTdWMQE4AAAgAElEQVT7wvW4nyrcoTBSlJRejl2tsbjYHvLDMEwARXfSztMYCfnzh3k5N0kZTIPRzHbt2lGt1tBgMNFstnDz5s2Z7teXOdZbt26lTie7WRgmiqLkFlFSE4LSI6jkHSJ5SDV8KH1rSkNXfBE0atTYa4XvoTuKFmp1Ji+BqmdBVpwzjyOr2/iyHLbAVJt8z4Lw8PB2AG4C6HXy5Mn2j39+4MAB6nS6F4iu/z2w2WyZ2ij5/fffMf/HH3DnTiyq16iBnj17Zuo8h8OBw4cPw+FwoFSpUulWJ38cCxYswJivxkDWG5CSnITa1SujR7cOGDP5e8yeMzfN8VFRUejYsROS7RoIghICbAgJtmL9+nWeoq3p4c6dOzhx4gTy5s2LoKAgr8+aNWuOM2dvQhRdY+R0xIHOB64PBSVAOwAnFEodNGoVEhPj4HCIkJS+njacjjgUKpgDZ6KvwOGUPX9XKRMwbOhAtGnTJkPbBgwYiK3b9gKC7P4x2iEJd0ECDqcSoujaPFUq4jFmzFcoVaoU/Pz8ntivmR3r50HLlq1w6vR1CG67yBQ47bchSQo4HCkQBBEVK1bA4cNHkZSsBgQRcMaBsEMQTCDsUCuTMGvW9yhduvTfYtOUKVMwe85C2B2y2yYnnPabEBW+AO0oVDAYERFLn7nd1P14//59REQsQ1RUFCpVqoimTZs+sVDzP4WXOdZ/B17EvoSEBJQpUyb9XeKMPDkfraTfDgsLO/bYq5z7s5r/hRX2li1bGBQYwAUzJ3HH+gg2a1yfLVs0f+p5Fy5cYO7ceWg0Wmg0WugfEPDU69lsNlfShIdvHkSdzsjSJYtluFn35ptvPqblEUSD0exRzXtW2O1298ovvWKtj8IogiCxT58+/OKLL6jRuDneCl/P47darWPHjh0pKR7LqhN1HDt27BNtOHnypIt3LypTZRAKBLSeRKCHYkuybKJGo+GoUaOe2ObLXHWZTKbHYvp+FESJlSr9X3vnHR5Fubbxe8q2ma2pdELLgNJ7CR0BQUERVPQoh2pDohxEpQhYPlAscKSoHECagAoWEFRAkYCgElGkOCIdVFogQJLdZHef74/ZbLLJppAs7Ebf33XlumAzM+89M9ln3nnep7Sn5557zt8Gbv78+VSzZgJFR0fTiBEj6NFHH6VatetQp06dadu2bSHVeP78eapatRqZJLvvmonE8ZLvjchG9947uEzHzdWYnp5ONWrUJEly+BsRJCV1jIjSDv/UGXZ5fdh/C4Pd7/bbaNHcV/1JIldOHaCY6OgSq+b17NmLRF3+bDs7NW/eoth9vv32W7LaCjY20EqvFlxUymXAgLsKpZ5brFH08ssv08KFC8tUXCc+vlKBZq1akk2gLguNHz+e3nzzTV8zWIfPkAoEgPR6I3Xp0tXvPslL1uGoX7/+NGnSJFqwYEGhGiW53HxzQ83VIlai3PZkuenuHG/3V7zLfUCYTLI/yiIY27dvp+HDR1CNGjWpW7fu9N13313zdSmKPn36kqjLzRyM9aVtm32GzEpjxxbvosol1IYmPT2d5syZQ/XrNyCDQSLw2kKr2Wwp9lqVRuOsWbOCNiL46quvQnkKZeKfarAjJg47nFy8eBHxsXmv+nq9Hg67DZcuXSp2v23btsFL+WN2Tfjppz3Izs6G1+vFnj17sG/fPu3J6CM+Ph452c6AzwAPevbsCYfDEXScIUMehMnoAZEbRASvJxOZGZfx/PMvIfmJ8WjevAUmTJhwTec8Zcpz4Lh0eD2XfUk0F6HFYufpMpl0qFu3Lpo3bw6O0xJrOCEOAIHjZbg9ZmxL+R4AB6/nErzuP7WkC96M9es/w/9Nn40nn3waDRrchPPnzweMf+TIERw5clRL9OB4cJwIXrD645y1RB4TAI/mu+MEgNNjy5YtQc/H4/Hg/vv/hWXLP8CpPzLw9Te70bVbNxw8ePCarktRzJnzJmKiJcgmJ3ikg+Mt4AUreEFGlsuEufPmIS0tLSRjXQtWqxWPPfYY9u37BW+/PQ+39uqA4cPuRWrqbtx8883lOvaBAweQmZUX281xHIhEHDp0qLyyGWWEGWwA/e+4E6/OeQeXr2hZdMtWrwWBQ8OGDYvdLy4+3ufrzcUNi8WKEydOoHbtOujUuSvatm2Ppk2b4ezZswCA2rVro3v37jAasrSkGG8G9LpsTJ48KegYFy9exMyZr8HlcsLrPgfynIHVQtDrTchyychyGuDKsWDWrNn49ddfi9SakpKCvn1vQ6vWbdCkSVM8+eRYEHlB3gwQucEJ0QDHgzwX4fVmQidmIjrKgsGDB6Ndu3bo0qUTJGOmZqw4Ebxg82fUAaQlfoiVwIuxAAhe0oHjLchyGXH+whW8/vrrAXoEQSjw0MqDiHyZdRnwutPgdZ+B1+OEKAI1atQIus+2bdtw/nwa3B4JHKcHz8vIztZhzpy5AdutWrUKCQm1IEkSbr21D06ePFnkNctPrVq1cPz4MaxYsQSxsTHguDw/LscJ0OsM+OOPP0p1rGslJSUFzZo1h8ViQZcuXXHgwIFC2wiCgCFDhmDDhs8wf/58JCYmFnk8IsIvv/yClJQUZGdnF7ld9+7dIUu8/z4ReeD1ZCEpKan8J8UoG0VNvcv7U5FcItnZ2TRixHCy2axUtUplqq8o/oSdnTt30rRp02jhwoWFXu1Xrlzpq6OsxfzKsoX++9//UosWLQPqOev1NrrrroH+/VwuF73yyivUqlVruvPOAcXWcb7vvvv8baI4oRKJOivFx1cKEpcdTQsXLgx6jM2bN5MkycQJNuI4o1Ynwl+K1eavWcHxUSSKOurZsxdNmzYtINJj//799NVXX9Edd9xBBmPhXpQ6nYE43kp6g1WrR5Hf38vbqW3bdv4iSGfOnKGUlBRq2bIV6Q2+6BIxljhOJKNRJoPR7NOUv24IKD4+nubPnx+03+DatWvJbCmYdGSlvn37+us/f/XVV752WNHEi/Ek6uyUUKvWNTeHHT16NBkCOrhEk81mL1X50X379tHGjRtp0qRJtGLFihIr8P3+++8kyTJxgsMXhWMjh8NRqjK2wUhPT6c2bdqSLFvIaosihyOKdu3aFbBN/gJUt9/eT2tE4OspWdqkqOvNP9Ulwgx2Ps6dO0eHDh3yL6pMmTKFalSvSuMef4hu630L1atbl86ePRuwz9atW2nAgLvo9tv70YYNGygzM9PXYir/gl48mc2WMmnU6kYH1p3mOI4kqYBv0WwtsjBPhw5J/vAvQEfBypJKkpnsdgdt2LChWI3Hjh0r0C0ljkwmmV577TUaNWoUjRv3lK9Iki/22FcFUKc3kCRJ1L17dzIajWSzRZPBYKTGjZuQwWik2Ng4evnll+nDDz+kpk2bFWgMq/mMjSatOqAkyfTFF1/Qrl276O6776aePXvRwoULNV3+kqdRxHE8GQxGMhiM9K9/PUD9+vUPWAvIXbzNbVrs9XrJ6XSWuKh24cIFatDgJq2Diy2GJEkq8rrlx+v1Uq9evclsthHHW8hscVDDho2KrcA3ceLEQoW+LNZoWr58eYnjBWPMmDEF2oU5qHKVKgEPrfx/j7mNCJYuXRqyePZQwAw2M9gBnD59mhwOO50++L1/MXLkkPtKnGG43W6to3X+0plCNNWsmVAmjZUqVS6QjBFHRqOJqteoQZLs0Goum+10yy09izQ0tWrVzleWVB9QSpQXK5HBYKTt27cXm6iSX+Py5cvJbLaQxaK1BpsxYwYRaV/uvXv30sMPP0Imk0Q6vTWgJKq2sMj7ZouV/Sn3druDxo4d659tPvzwwwGLuVpssSXf9YyiqKhoLTlI0FqgyWYtxjk6OpokyUzguLzWaGIlkiStoh5XoFO91eqgrVu30rp166hKlarEcTwlJNQqcWHN4/HQ1q1bac2aNQGVAF0uFz3yyKNkNJrIYDDQ0KHDAnonmkxyQAU+WXYEdGAvyLhx4/yLnaV5myqJmjUTCiX3SJKZDh06RD/88AMtWLCgxM49kQAz2MxgB7Bp0ybqnNQuoAP4h0vfoj639i5x36lTp5EsW4kXHMQJdpJkMy1ZsqRMGrVuMlZ/2rIs22jkyFE0d+5cevTRR2nIkH/TsmXLijW2//nPf8hosgWUXOUEh6/Ho40GDbqbvv/+e+revQfVrJlAI0aMKPQmUVBjZmYm7du3z/9qfuzYMapbtx6ZzVrPx7p169Htt99ORlPBbuJm4ng5Xxp3LPFiLEmSnYYPH0FEWqamLJt9nbxjfOGEgbWjOY4n8AX7HRro0qVLtH79ejKbrYFvOUIUJSTU8tXviPUZcjvFx1ei/fv353OVVPZH7ZQl02/06Md95QXitcgWyU5DhvybiIjeeecdMkmOAtfDSsOHDy/yeHv27PFpiwnQVtaU8fxvW7kPbL3eQAMG3EWSbCbZrD0IH3jgwYgI3ysKZrCZwQ4gNxvxxL5dfoM99P67aeLEiSXu6/V6afny5dShQxJ169bd34C1LBq9Xi+9++67VLdeIslmC5nNFhIEkWRzFJktNmrfvkOJhXmuXLlCnTp1JpMkk8WqZSI2atSYEpX69Pzzz9PevXu1bEXeRrwYQ3qDjerWqxeQHp1fo9vtpo8//pgmTJhA7733HrlcLurQIclXU0Tz2+v0NmrVqnWh4lAcL/lihgUKbHQbT3q9wd+wIjU1lW69tQ/Vq6dQfHzlAkYmRusHWWCmaDAY6eTJk3T8+HEyGk0BBpsT7NSlS1eaNWsWmS0W4jiOatZMoB9++IGef/550hsCHyySHFXq2t75kc3mAg+XeNLr9eT1emn9+vWk0+nzhSpWJlm2lzhbXr58OUVHx5Ao6qhGjZr09ddfX7OuXL7++mvfA8BGnOAgWbbRbbfd5nvAVfIbcVm2lmuc6w0z2MxgF+LFF1+kqlUqU/LDw6hX9y5UX1FKbGBaFkrS+Msvv/i/ZForLaNWxU+oRLJsp7lz55ZqHFVVadeuXYW6+IwePZp0ensB4ycFpIXnr9NxR/9+1LRxQ5r01Bjq2L4NJXXoQDzPF/LbG41GqlxZa0jAi7GakeA4EnW5HXLiAmZ6oqgLWLjbv38/TZkyhV544QWSJJkMRjuJOq2KY8eOHUlvyPPFcoKDKleu4p8V9urVm0yS3dc410GSJNOXX37pTzGXzVFksUST3e6g5ORkMhgD/cRGo9b0oSSOHz9Ov/zyi98HXJTBXrt2rebC4fW+LjIySbKVWrZsVapKeB6Phy5fvhySWe/OnTtpwIC7qFOnzrRo0SKaMmUK8UJg8pOos5WYqBROmMFmBjsoqampNH36dFq2bFmxi0PloTiNx44do379+hXKdNRmqDHECXbq169/uca/997BhRJzOE5P/fvnZXvmakxOTqYa1arQ1dMHKfvcYXKeOUSdOrT1NX3N77ePocqVq9DJkyepX7/+ZDZbKCYmlsaMGUMjRoygmNg4EnWyL1qlEhmMdn8JVI/HQ/369deSUzgdgRPJbDZTcnIyjR8/nvbs2UPnz5+nhg0bkdls80U7OGj16tV+vZmZmfT0009TrVq1qXWbtrRhwwbyer1UtWq1Ap11bNSmTVtfFI0jr2IhOFLq1y+ygFJGRgb16tXb37W9arXqvuJQwV0iUVHR+Vwu0cTxRmrWrHm5W+CFgpUrV5LZ4gjwrVssDlqzZk24pRUJM9jMYIeNYBozMjKoZ89eZDRJJAj6gBZaeYuHUWQ02Wny5MnlGn/dunVBwug4kmWZiLRCUePGjaOXXnqJRFFH/75vEM1//SVq26oF9e7RlYbefzcldeyYz2/vIFm20FtvvUXHjx8nu91BeoPdV35Va+aamZlJ9913P+n1ehJ1OurTp69/8e7jjz8mjhcCHiIcb6H27TsE6M6NYNiyZQs5nc4SXUvPPvusr+ysUeuTKMb5I3hWrFhBHCf4UuT1xAkxJMn2oDXEiYieeuopMpnyQjd5Qeu07nQ66dFHHyOTyURGo5GGDRtOhw8fJqMxsJcmL8ZRTExsue5bqHC5XNSoUWOSZa1xsEmyUbNmza+5WuKNJNK/18xgl5FIubEej4dmzZpF9RvcRE2aNKWlS5f6fxdM49NPP00mU/5Xfrs/XjrXoBpN2qJZwQXCkjhx4gTNnDmTpk+fTocPHyav10s872v2C0FblOTtpNfr6bnnppAkyaTX20ivlwjgyWQykSRZfMZZq1z3zDPP0PLly6ldu/aUlNTRPztLTk4OCEvLjUrYu3cvEWm1VQq+uQwbNsxX1yTQxaLT6Ys9r+Lu9dq1a0kQRAJ0xAl2f4QKeCvVrVuPVq5cSVZrYPVATrDTgAF3BT1eQkKtINEWMh05cqTQttnZ2WSz2QN99oKNunTpWuz55Gf16tVUL1GhqKhoevDBIf4yBn/99Rdt2LCh0LgZGRn06quvUs+evWj8+PH0559/Fnv8zMxMeuutt2jo0GE0bdq0iGtYUJBI+V4XBTPYZSRSbux//jOOZDm3m04UybLF73sOprF27TpBaivzJMtmkmSZbrmlJ82YMeOafeopKSkky2YyGh2kN9jIJEm0ceNGuueee7WkFyGGOCGedHoLtWvX3rd4F59PQ25zg3yx4YKDWrRoGXS83r1vLVQC1GaLoU8//bRIjf/3f/9X6I2CF6KocuWqxZ5bcfe6Y8dOlNtZPu8tRetE37FjJ9q/fz+ZJDlgQVCS7PTyyy8HPV7Llq2DhkcWVVZ2yZIlZJJkEnVWMpkcZLFYSt1UYcOGDb4ErSjixTgyGGzUqlUbmjlzphbT7iuhO3LkSPJ6veTxeKhFi5a+ZgR2XzOCuFJHlkTKd6Y4Il0jM9hlJBJubE5Oji/ZJL+Ri6GqVasRUWGNx48fp9q16wS0C+PFSqQ3GGjr1q3lelVt2LBR4HGFKKpevQalp6dT3763+eo8gwRBTwajiQQx8FWe421BKv3FksFgpNp16tLo0aMDiljNmTOHJClfooYYRzwvFNsS7Ny5c2Q2W3wzfStxvIV4XijRp1rcvU5KSiJw+kIzaECgO+64k4iIhg4dRrJZG89sdlCdOnWLbBLx2Wef+fzedi3UTrbRgw8+WGg7j8dDGzZsoEmTJtH06dPpoYceoldeeeWaQga7dOlaIEqmsi/O20j5qyuazVZav349vfXWW9obUL57ZJIcNH369FKNFwnfmZKIdI3MYJeRSLixWvajWMDIxZHFYiWiQI2LFy8mo8lEBqPPYOUzCLff3o/27NlTrkgBvT4vrCwvppmjnJwc+v3338lgNBEnxPoMWmxAAX5Bp5VOFQTRb0C0/Y0+n3oMGYw2atSosV+jy+Wi2Ni4vH6R4EgUTXTHHXfQk0+OpTFjkoN2qPnjjz9o0KBBFBdfiZo3b1GqELPi7vXGjRt95xLr1w1OR6JO74+G8Xq9tGnTJpo4cSItXry4xEXmefPmUVRUNOn0BmrVqjWdOnUq4Pder5cGDhyYl9lodlC9eon+FP3S0rp1mwKzeS2EsXBMt4WioqJJbzASxxsLxXsPGzasVONFwnemJCJdIzPYZSScN/bcuXM0ePBgstsdZDRKxAuSf5HKYLTTAw88GKDx8uXLZJIkv1Hh+CjieB1FR8dQ5cqa79dstlJCQq1S9U0MRpMmTQNna0IU1apVm4iIVqxYUciPC07vm+matYxDjqdXXnmF4uLiyGK1+/zCvN/Ia2nyNvr222+JSIvZFgSBOCHa10or3lc6ldMy+EQtTC83wuPSpUuFaoXs3buX+ve/gxSlPo0ZM6ZIt0NJ9zo5OVlLuPGdk6jT0fz580u8ZmlpabRjx44A99ORI0fIbLb4k3v0ehslJNQKiPrYtWuXL1EnL/rCZLJdU69FIqIFCxZoC7q+XpGCaKeY2Fiy5IvsEHRVSBBl4nljvgdt/tm3rdQZjJFuDIkiXyMrr1pBICJs374db775Jtq2bYcP13yGy1d1yM4xAuSCyKdBL15Cu7bN8Oab/w3Yd//+/dDptK4yAMALRnCcFW63GxfSMuHMtiDTKePkqYsYPPi+Mul7++23IJvcMOid0OuyYDRoXVAAQFEUuD0FSr8SB3BaCVmONwKchKysLPz666+oFB8HgAM4HchzHl5vJjiOAy+I/lKjHMdB1OnAcSI43gSOE0Deq+AFBwgywMlwuowYMWIkBg4chLi4eNSsmYAWLVri5MmTOHLkCNq374B167/God/P4e13lqB9+w7weDwFT61EZs2ahTNn/sJHa1cjNfUH5GRn4+GHHy52n9deew1VqlRFnz63o2q1anjppZcAAG+99RaycwRwvAyO18NDMtLS0vHll1/69927dy/A6cBxnP9aOF2E77///pp0Dx8+HI8++hD04mUI3AXc1KAGtn79NWrUqAqDPgvkzYIoZMLryQJxFvC8VinR6z4Lj/scDLrL6N//dtx5553XeMUYEUdRlry8P//EGbbH46H+/e8gWbaS0Wj3uQHyMu44wUadO3ct9Oqcq/Hs2bO+eOY8X7eos5EoioUKQAmCUOaV/DNnztDMmTOpY8dOVL16DerUqTOlpKQQEVG/fv21juO8lQy+ynuckLfoaLE4aNWqVTR58mQymvI3gM0t6h9FstkcUNlw9OjRpDfIvuSZGN+iZaBbBgBxvEi5VQRFnZ1atmxFY8eOLRRlYrHaafPmzYXOqzT3Oj09nZKTkykhoRYlJXUs1tXy888/+5oZx/kjVSRJpu+//56GDRtWqGKixRoTUJRp9+7d2mJhvoVMk2SlRYsWXcPdysPpdAasD1y+fJlefPFF6tq1G40bN46qVaseUNiLE7QCW7m9QUtLpM9eiSJfI3OJlJEbeWM3bNhAZrMt4BUYEPNVkHNQp06di9X41FNPaa/RgpWMJgfZ7VoGX2CFvTiSZXOpOmsHw+v1UosWLbUSoYKWfCNJMu3evZvcbjetWrWKRowYSa+88kpAfK5sdlDjxk3I5XJRy5atAhJQtGQbkaxWK23ZsiVgvJycHH+UBiD6WllZ8xkWu78dWJ5xrEx6vYHuuqtwtx2rNYZWrVpV7HUs6rzbtGlb6LwLlhfN5eWXXy5UKU8QrTRt2jT64osvfO6O3Nh1rfxowRDLBx8cQrJsJZ3eRmaLnRo2bFRsSVWv10tvv/021a5dh+Li4unJJ58sdcLW8uXLSZK0hshaLLyVXnjhhVLtm59IN4ZEka+RGewyciNv7NSpUwul+ILTCh1pRtYatCxmwXKWX375JT3yyCP04osv0p9//kmLFy8mSbb4FiC1L+K0ac+XWWdqamqh4khF9QDMysqiBQsW0IABA+jtt9/2G48HHxxSoD2aVkTo6NGjQcfcuXOnb7YZ75+Ng9P7FiJ538xbzFfZT4uKWblypRa5IcQRx1sJ0JMgiPTLL78Uex2DodVMCYye4MWiY62XLFlCFkvgQ0k2R/l90FOmTPVnOtps9qChil6vl7Zt20YzZsygjz/+2B9/XhT/+9//fAlI0cSLsWSSbDRwYF4t9cOHD9OBAweKXHjeuHEj9ezZizp16kwrV64s0wJ1pBtDosjXyAx2GbmRN3b16tUBC0G8WJl4Xk+CIJAkSTR58nNBv0Cl0fjpp59Sly5dqX37DrRs2bIiv4iXLl2iefPm0eTJk2nnzp1Bt9m8eXOhvpKcYKcePXoWOX5BjYcOHSKr1UYGo9ag1Wy20YgRI4s9h6lTp/prYfO8QIJgII63a24QXzIQx0cRL8aQSbLRfffdT16vl8aO/Y/mmuEMxAkO0umtFB0dQ2fOnClWY0G2bdsW5LyDv/UQEV29epWqVKmq1SwRokint1FcXDwtX76cRo4cRUOHDqVJkybRhx9+WKrmBaXRWK+eUuBtKu9B2K5dezKZJJJlC9Wrlxg0SScURLoxJIp8jcxgl5EbeWOzs7OpefMWZDbbfWFcdmrTpi2dO3eu2C90qDSeOnWK4uLitcapopUkyUxTp04rtF1WVpavc3uU3zcry7aA7MvSaDxx4gQ9/fTTNHjwffTBBx+UajZ35swZ2rZtG506dUor0GSSyWqLIovFSk899RQpSn2qVq06Pfvss37XwTfffENygTcCo8lB06YFnltJ19HlcpHD4fBFq1T2VaWzFVst788//6TRo0dT02bN6eGHH6bbbruNZNmqZYRyOuJ4mUwmiSZMmFDiuZdGo+aHLlyFcODAgWQw5FVDFHV2atWqdanGvFYi3RgSRb5GZrDLyI2+sU6nk5YsWUKjRz9Oy5YtK9XMK1QaH3roIdLpC9aINgbNcEtJSfEZdwsZjEYaPXp0sQY39zV84cKF1LJlK2rZshUNHDiQevS4haZNmxZQxP9a+O233yglJaXYBdSlS5eSxVKwTKuN7r//X4U0lsTOnTupcuUqJMtmMhiM9Mgjj5S6RdjevXs1HzFvIY4z5nuTiiej0VRsMlBpNU6cONGXaBS4+KqltgfWBBdFsciO9OUhHMbwwoULtGXLFjp+/HiptmcGmxnssBEqjc2aNS+0EGizRftbYBXE7XbTb7/9Vipje+DAAZo6dSrJstXX9ksgjjMRJzjIZLJT7Tp1r1v9ibz61nF+N4FsthVaeCztdfR4PPTbb78FRFyUhtWrV5PVFkOAnsCbA2b8NlsMffTRRyUeozRvAQ8+OIT0egPpdHpq06YtnTp1ytcpJjrgYWwyma5LgaYb/Z2ZP38+GY0mf4r9qFGjSnxbi/TvdUTFYSuKYlMUZZ2iKN8oirJTUZR2oQ02ZJSFpKQOEMW8+GQiN1yuTDRo0CDo9oIgoF69erDb7SUe2+v1YubMmchyGbUaUZwIXnSA501w5Zhw7mwa1q5dG7JzyU+NGjXwyisvQy9egVnKhkF3Bbf1vRUDBw4s0/F4nke9evXgcDiuab+bbroJVy6nAXADXie87jMgbzaIvHC5MtGwYcMy6cmPXq/HkiXvIi3tAs6c+Qu7du1E1apVMWXKczAas0HeLJDXCejYVcAAABoqSURBVJPBidGjH4dOpyv3mOHkxIkTePLJsch2W3A1Q49stw0r3luFdevWhVtaRFLWxJmxALaoqtoZwL8BzA2ZIkaZmThxImJjLJCMTohCJgy6q/i//3vJb5hSUlIwaNDd6NevPz777LNrOrbb7UZWlhOAAJDHn9wD5CaEeHDixIlQnk4Ajz/+OI4dO4rlyxfjxx93Y9WqlRAE4bqNF4x3330XgiiBF+Mh6OLACzZ4PWkw6q9iyJAHULdu3ZCNJctywANl6NChWLb0XbRuVR+NGtXEzJnTMWPG9JCNFy62bNkCUSeB40QAAMfxyMwEPvnk0zAri0zEMu73BgBXvmM4g2108ODBMh4+dDidzojQURyh1Pjpp59g8+bNOH/+PJKSklCvXj0cPHgQX375JZ55dgKys3UgAJs3b0Fy8uN48MEHS3Vcr9eLJk2a4Jd9h+Hh9CDPJRBvBsfxIPJAEHNQu3bt636t69SpAyIKOk5x15GIsHPnTnz11deIj4/DgAEDEB0dfU1jv//+B/B6jeB4LXMRnBGimIGJE5/FHXfcUapzL8+9btCgARYtWuj/v6qqZTpOSdzI74zH4wF5c0Ck92eEGvQ8ZFkqVkOkf6+vm76ifCW5P4mJicMTExP3Ffhp5ftdpcTExD2JiYmdC+7HfNil50ZorFOnbmCnFTGWrFZrqRfcDhw4QMePHydFqU+SJJMo6ojjeLJao8loNNF9991Ht9/ejzp37lJs2OH1pLjrOG7cOF98s5VMkoMcjqgiY8aLolOnzoUa2BoMxoAaIxkZGcVeU/b3GIjb7aaGDRtpzSCEKNLr7RQVFV2onkxBIv06RtyiY2JiYqPExMT9iYmJtwb7PTPYpedGaJRlOWh6e2mz6PL3dNy/fz/99ttvdOzYMVq3bh0tWrRIKzXK2/wZduPHP13iMb1eL02dOpVsNjvpdDoaMGBAkYWdrkVjQf766y8yBEn5L231uly++eabfL01tQa2ubHnu3fvJkWpT4IgkN3uKLLAE/t7LMzly5dp6tSp1L59B3rkkUdKFSkS6dcxogx2YmLiTYmJib8mJiY2KWobZrBLz43Q2KdP38DMRMFOjRo1Lnafffv20ZIlSyg1NbVIjdnZ2VSzZq0C5T+1MLeSHgazZ8/2VaGL9WU22qhz585lPcUiNe7YsYNstsCwQF6IombNW1zzGLt27aI77xxASUmd6J133iGPx0MZGRlks2nNArQ46ViSJDNt3bq11BojCaax/Fwvg11WH/Z0AEYAsxVFAYB0VVX7h8xPwwg5b701Hx07dUJa2iVw4GEw6PHeeyuK3P6xx0Zj8eLFEEUJHo8TnTt3wvr168DzeevUV69eRZs2bXHixHFwQn5/MA8iQnp6OkwmU5FjzJkzF1lOHTheW8B0eyTs2vUdzp49i7i4uHKfcy4333wzsrMzQSSA40QQEXQ6L7p363rNx2rTpg3Wrl0T8NmmTZtAEMDzBt8nOjhdLixcuAidO3cOwRkwGBplMtjMOFc8qlevjiOHD+Pbb79FdnY2OnbsWGRI2HfffYclS5bAlWNFtpsHkQ7ffJOCzz//HH369PFvN3/+fBw7dhoEI+DNAHibtnBEWahWrRri4+OL1URE1/R5WbHZbJg1axaSk5+AIJrA84T4uBg8++yzITm+TqcDCmjmOA5Go6GIPRiMssHqYVcgPB4Ppk6divj4SoiJicVTTz2F7OzsUu/P8zySkpLQrVu3YuN3t2/fDrdHBMdpfx4cxyHLCWzbti1gu23bUpDlAnjBCiI3vO6z8LrPwiwT1qz50L/qXxSPPvoITEY3iNwg8kInZKF16zZBDf2VK1ewZ88eXL58udTnm59Ro0bh4MEDeP216Vi+7F0cOHAAUVFR13SMP/74A7169YZOp0NMTCxmz54NAOjRowdMkh6gDBB5QF4nDHp3ibW2bxTki6o5cuRIuKUwygkz2BWI556bgldfnYXzaV5cTOcwb94CJCcnh3ycevXqQa/Lm+kSEUxGHj73l582bVrDaODAcTx4IRqcYIdOJ2Dnzm/RpEmTEsdJTk7G2LHJkE1O8DiPXr064+OPCyffzJ07F/HxldClS3dUqlQJb7zxRpnOKyEhAaNGjUK/fv2uOeGEiNCjxy34eut38CIGF9M5TJw4Ge+//z70ej12bN+Orl1aw6i/inp14/DBB++jefPmZdIZSo4ePYrERAWtWrVGw4aN0K5dB1y8eDHcshhlpSjndnl/2KJj6SmtRrvdEdhJXIwng8FQ6tC80pKTk0PNm7fw1cG2kSQ7qGbNhEKLiGlpaZSQUItks4M43kKybKWRI4uv2FcURYUB7tu3r0ATgTiSJDloH8jiruOlS5do8eLFNG/ePDp9+nSJWubOnUt169ajmjUT6IUXXqCffvqpUGlWTnBQhw5J13SeN/rvsUWLliSIdn/RKIPB5m9NVxR/p+9MuIi0RUdGGMjJyQGQf2bIaYkHIfb5iqKI7dtTsHTpUmzbloLWrVuhQ4cOhRYQHQ4H9u37BatWrcLhw4fRrVs3dO/evUxjFuU++eyzz+Dx6vNlwonIzhGwfv16NGvWrFTHPnDgADp0SILbw4G8wH/GjcPaNWvQu3fvoNu//vrrmDLleWQ5dQA4TJ/xKg4ESYLgEHp/eyi5cuUKfv75ZxBi/Nc3x2PAp5+yLMKKCjPYFYjBg+/Fivc+hCtb82TpRSf69Ol3XVK0TSYTHnroITz00EMAis5alWUZw4cPD/n4ucTGxkKv45HlyvvMoBcQGxtb6mOMHv04Ll/xguNlAAB5OQwdOgynT58KiHrJZebMV5Hl0oPj9QAAp0vA2jVrkZCQgMNH/oKXjAA8MBndGDPm8XKd3/XEYDBA1InIzvEC8P2NkOeaffeMyIH5sCsQs2fPRr/be0Pg0iBwF9CjR0csWrQo3LKuKwMHDoQk6cBzGSCvCxwyYDQKuPfee0t9jB9/TAU4Y94HnB5paWm4dOlS0O0zMzMR+NXg4Pa48dln69G5U0vAexY2iwcvvDAN99xzT9lO7Aag1+vx+OjRMBmcIK8T5M2C0ZiNKVOeC7c0RhlhBrsCIUkSVq1aicuX05Geno516z6FzWYLt6xycfXqVTzxxBOoUaMmmjdvgfXr1wf83mKxIDV1N/51/wAk1ovD4Hv7IzV1d6kqDOZSv34DEOWbolMOJFnC6NGPw2SSYLc7MHnyc/B6vQC0h4Rep1XhIyIIfBa6dO6COnXqYPPmTXC73UhLu4Ann3wyJNfgejJjxgzMnDkdjRsnoE3rBli29F0MGTIk3LIYZaUo53Z5f9iiY+n5J2vs1q07GU024sUY4gUHSZJMX375ZZmOVZTG7777TmtYYHSQqLORJMnUtGkzMhptvh6TcSTLNpo+fToRaanSffveRnqDgQwGA7Vv36FQO7Ky8k++16Ek0jVGVD1sBiMUHD16FDt37kR2jgSO04PjTchy6TB9+oyQjtO6dWscPHgAz00eh6fHj8bmzZtw4MB+ZLtN4Dgt+zHLqcPcufPgdruxadMmNG7cCPPnzcPhw4exY8f2kGZeMhhlhS06MsLG5cuXIQgikJP3GQceF4vwLZeH6tWrY8KECQCA9PT0oNt4vV707NkLP/zwIzIy3ZAlEQ0b/g/btn1T4RsFMP4esBk2I2w0atQINpsVoCzfK58XRqMHQ/99fX2sNpsNXbp0hU50+vzUbhiNOejWrSt+2P0jMp0m8IIVmU4T9u0/iE8++eS66mEwSgsz2IywwfM8Pv98IxJqRsOgS4dOuIT7Bt+Nxx577LqPvXr1KvS5tRs4Og+D/ioefmgEbrrpJjid5I9Z5jgOGRlu7N2797rrYTBKA3OJMMJKw4YN8fvvh3Dy5EnYbLZCUS9ery9SI8Sx5na7HWvXrvEnvnAch02bNsFoADJ9RpuIIEsiWrZsGdKxGYyywmbYjLDDcRxq1KgRYKw9Hg/Gjh0LWTbDYDCgb9/bcOHChesydu6MukePHujWrQskYyYEPhOSMRPt2rVG3759Qz4ug1EWmMFmRCQzZszA2+8sQrbbCuJisXnLdgwcOOi6jslxHD7++CN88slavPjCBKxZ8z4+/3xjSGb3RITZs2ejY8dOkCQZd999D9LS0kKgmvFPgrlEGBHJ22+/A6dTB47XjKXbI+Hbb79FWlpakanVhw4dwoYNG1CpUiUMGDCg2OYJRcFxHLp164Zu3boF/f3Zs2fxxhtv4Mcf96BHj+549NFHIctyicddunQpJk6cjCyXAYAFn3z6BU6f7o8dO1JK3Pf8+fN4/fXXsWvX9+jYsQOeeOKJgI7qjH8OzGAzIhJtVpu/sJL272C1PwDgtddew6RJk0EwQK/j8eyzE7B79w8hjZ9OS0tD48ZNkJ7ugiuHsH37d1ix4j2kpu4ucRb+xhuzfN11tPokbo+EH39MxcmTJ1G9evUi97t69SqaNWuO8+evIDuHw85dqVix4j3s2/cLjEZjkfsx/p4wlwgjIhkz5nFfc4McEHmgF7PQo0ePoCnpFy5cwKRJk5DttsDtkZDpNOLM2fSQJ+AsXrwYV666kOMxgeclOLNNOHLkGDZt2lTsfjt27MCvv/4KrycNnpxzIK+WJs9xHNxud7H7rl69GpcuZSDHI4HjTcjOMeHs2TR8/PHHITsvRsWBGWxGRJKcnIxnnhkHh41g1F/FoEH9sWrVyqDbHjhwAAaD7C/BCgBut4CU7dvh9XoxY8YM1KyZgJo1EzBjxgx/zZBr5fDhw8jK8vj/z3EcPF4ex48fL3Kfv/76C7169Ua22wRerAxeMMPrSQPPZSBRUVCrVq1ixzx+/Dgys/IyiziOgyvbixMnTpTpHBgVmzIZbEVRZEVRPlEUZZuiKJsVRakaamGMfzY8z2PSpEk4f/4cMjKuYunSJbBYLEG3VRQFLpfWnisXUfSgTevWmDRpEl58cQZOnc7AqdMZePHFGZg8uWzV6nr37g1Z4kCkGfzcdmBdunQpcp81a9aAoAfPm7SIFN4EjjOiRvVYbPhsfZH75XLLLbfAZETAmKKQgx49epTpHBgVm7LOsEcCSFVVtROA5QDGh04Sg3FtxMXFYfz4p2HQXQF5r8BocMJuM2LixAl48805yHIZwPFafesslwFvvvlmmca57bbbcNddd8KguwyzlA2dmI7JkycVap2WHyIq1KBXbzBg1KiRqFKlSoljJiUl4aGHRkIvpsMsZ0MvXsbYsWMjov0Y48ZT1q7psxRFyV1lqQEg9MUfGIxrYNq0qahfX8HBgwdRpUoVDB48GDabDU6nE0D+KA4OTmdWmcbgeR7vvrsYEyY8i19//RUtW7ZERkYGpk6dCgC4//77Ua9evYB97rrrLjzzzDMgL7Sa3OSCoMspdR1tjuPw2muvITk5Gfv27UOTJk1QtSp7of2nwhEV3+JIUZThAAoW/h2qquoPiqJ8BaARgFtUVf0p/wapqakkSVJIxZYFp9MZ8avpTGNoCKbxiSeexNZvdsLt0f4WRSELXbu0wxtvvF7u8bZv344xY5Lh8WiRH4KQjf/+dzaSkpICttu9ezemTJmKo0ePoFq16pg2bSratWtX7vGvFxX1XkcS5dGXmZmJFi1aBO+ZV1Td1dL+JCYm1k9MTDxc8HNWD7v0MI2hIZjGixcvUs+evUivN5Ber6eePXvRpUuXQjJerdp1iBei8poiC1FUq1btIrf3er0V9jpGGpGuMaKa8CqK8iyAU6qqLgNwFYCnhF0YjLBgt9vxxRef4+LFiwAQ0oST48eOAnx83gecAceOHS1y+6IaDTMYpaWsi46LANyvKMpWACsBDA2Zor8hP//8MwYMuAtNmzbDlClTkJGREW5J/zgcDkfIswMbNLgJRHn+cKIs3HTTzSEdg8HIT1kXHc8A6B1iLX9LDhw4gA4dkpDlFAAI+O3Qf7Fly1dISdnGZlwVnIUL/4dbbrkFRE7fJx78738LwqqJ8feGpaZfZ1599VW4skVwvLbo5com/PTTz/j555/RtGnTMKtjlIc2bdrg6NGj+OijjwAAd955J6Kjo8OsivF3hhns68zp03/A4wVyS2BwHAdR1OPMmTPhFcYICdHR0RgxYkS4ZTD+IbDU9OvMPffcDclIeZlqXhfcbic6dOgQZmUVm7S0NJw8edLfgKCicfXqVcyZMwcjR47CihUrkJOTU/JOjH88zGBfZ4YMGYIBA/pBL6ZDNmVBlnLwwQcfwGw2h1tahcTlcuHuu+9BlSpVkJhYHzc3bIjDhw+HW9Y1cfXqVTRt2gzPPPMcFi5ajYcfHo1evXpX2IcP48bBDPZ1RhAELF26FL//fgibNn2Os2fP4NZbbw23rArL888/j/WffYEcjwPZbht+++0P3N6vX4UydkuXLsVff12AM9sEXjAj02nCDz+kYtu2beGWxohwmMG+QVStWhWtW7eO6OysisCKFe/B5dKB43it7yJMOHr0GE6fPh1uaaVm7969yCxQ9c9LAn799dcwqmJUBJjBZlQorFYrgPzlUQnk9SASyiCUli5dukCWeP9bAZEXIFdEp6szIgNmsBkVismTJ8FoyAZ5nSBvNgz6LPTvf0eRbcMikYEDB6J9+zaQjBkwGlww6q9gxIjhaNy4cbilMSIcFtbHqFAMGqQ14n3xxZeQnn4ZDzxwPyZNmhRmVdeGKIr4/PON2L59Ow4ePIh27dqhUaNG4ZbFqAAwg82ocAwaNMhvuCsqHMehY8eO6NixY7ilMCoQzCXCYDAYFQRmsBkMBqOCwAw2g8FgVBCYwWYwGIwKAjPYDAaDUUFgBpvBYDAqCMxgMxgMRgWBGWwGg8GoIDCDzWAwGBUEZrAZDAajglCu1HRFUeoD+A5AvKqqzpK2ZzAYDEbZKfMMW1EUK4DXALhCJ4fBYDAYRVEmg60oCgfgHQATAGSGVBGDwWAwgsKV1FpJUZThAJ4s8PFxAKtUVV2mKMoxAPULukRSU1MpEorKO53OiO/ywjSGBqYxNDCN5ac8+jIzM9GiRQsu2O9KNNjBUBTldwCnfP9tC+B7VVU75d8mNTWVWrRocc3HDjUHDx5EgwYNwi2jWCJJY2pqKqZOfR7Hjx9D//798Mwzz0CW5YjSWBRMY2hgGstPefSlpqYWabDLtOioqmrd3H/7Ztg9y6SMEVHs3bsXnTp1htMlAhDx++9zsHXrN0hJYc1hGYxIgDUwYPiZOfNVuLJ14HjNleXKIezZ8xP27t0LnU4XZnUMBqPcBltV1YQQ6GBEAKdPn4aXOPC+lzGO4yCKepw7dw5VqlQJrzgGg8ESZxh5DB58LySjV+viDYC8Lng82RHdzfvIkSPo2/c2REVF4+6778GOHTvCLYnBuG4wg83wM2zYMNx1V3/oxUuQTZmwmD346KO1iIRon2BkZWWhXbv2+OLL7Ui/ImL/wZPo2bMXDh06FG5pDMZ1gRlshh9BELBkyRIcOXIEX3+9BWfPnkGPHj3CLatINm7cCKfTDXAyOE4Ez0twu3VYsGBBuKUxGNcFtujIKETlypVRuXLlcMsokczMTBSMSvV4CRkZLJeL8feEzbAZFZY+ffrA43GCvE4QEYhyYNB78K9/3R9uaQzGdYEZbEaFJSoqCuvXr0OleBN0wkVIRidef/3ViF4kZTDKA3OJMCo0Xbt2xalTJ3H+/Hn8+eefaNy4cbglMRjXDTbDZlR4OI5DbGwsS+5h/O1hBpvBYDAqCMxgMxgMRgWBGWwGg8GoIDCDzWAwGBUEZrAZDAajglCmBgalITU19focmMFgMP7mhLTjDIPBYDBuPMwlwmAwGBUEZrAZDAajgvC3T01XFEUG8B4AB4BsAENUVT0dXlWBKIpiA7AcgBWAHsBYVVV3hldVcBRFuRPAIFVV7wu3llwUReEBzAPQBIALwAhVVX8Pr6rCKIrSBsDLqqp2CbeWgiiKogOwCEACAAOAF1VV/TSsogqgKIoAYAEABQABeFhV1X3hVRUcRVHiAKQCuEVV1V9Dddx/wgx7JIBUX1f35QDGh1lPMMYC2KKqamcA/wYwN7xygqMoymwA0xF5fzd3ADCqqtoOwDMAXguznkIoijIewP8AGMOtpQj+BeCCqqodAfQGMCfMeoJxOwCoqtoBwCQAL4VXTnB8D7+3AWSF+tiR9sULOaqqzkLeja0B4FIY5RTFG9BuMKC99TjDqKU4vgXwSLhFBCEJwOcAoKrqLgAtwysnKIcBDAi3iGL4AMBk3785AO4wagmKqqofAxjl+29NROZ3GQBeBfAWgD9CfeC/lUtEUZThAJ4s8PFQVVV/UBTlKwCNANxy45XlUYLGStDeAp648cryKEbjakVRuoRBUklYAaTn+79HURRRVdWIMTqqqq5RFCUh3DqKQlXVqwCgKIoFwIfQZrARh6qqbkVRlgC4E8DAcOspiKIo/wZwTlXVLxRFeTbUx/9HhfUpilIfwGeqqtYJt5aCKIrSCMAqAONUVd0Ybj1F4TPYD6uqem+4teSiKMrrAHapqvq+7/+nVFWtFmZZhfAZ7FWqqrYNt5ZgKIpSHcBHAOapqroo3HqKwze5+Q7ATaqqZoRbTy6KomyD5l8nAE0B/Aagn6qqf4Xi+H+rGXYwfE+5U6qqLgNwFYAnzJIKoSjKTdBeSe9RVfXncOupgOyA5t98X1GUtgB+CbOeCoeiKPEAvgQwWlXVLeHWEwxFUR4AUE1V1ekAMgF4fT8Rg2+tDACgKMpWaJObkBhr4B9gsKGtfC/xveYLAIaGWU8wpkNbjJqtKAoApKuq2j+8kioUHwG4RVGUb6H5XyPxHkc6E6BFUk1WFCXXl32rqqohXzgrB2sBLPbNYnUAnogwfdedf5RLhMFgMCoyf/soEQaDwfi7wAw2g8FgVBCYwWYwGIwKAjPYDAaDUUFgBpvBYDAqCMxgMxgMRgWBGWwGg8GoIDCDzWAwGBWE/wcaeTp/tDHhRgAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.datasets import make_classification \n",
"#help(\"sklearn.datasets.make_classification\")\n",
"plt.title(\"Two informative features, two clusters per class\",\n",
" fontsize='small')\n",
"nsamples=500\n",
"X2, Y2 = make_classification(n_samples=nsamples,n_features=2, n_redundant=0,\n",
" n_informative=2,random_state=1999)\n",
"plt.scatter(X2[:, 0], X2[:, 1], marker='o', c=Y2,\n",
" s=25, edgecolor='k')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.subplots(figsize=(5, 5))\n",
"plt.subplot(111)\n",
"plt.hist(X2[:,0],alpha=0.3,label='Feature 1')\n",
"plt.hist(X2[:,1],alpha=0.3,label='Feature 2')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.subplots(figsize=(12, 5))\n",
"plt.subplot(121)\n",
"plt.hist(X2[Y2 == 0,0],alpha=0.3)\n",
"plt.hist(X2[Y2 == 1,0],alpha=0.3)\n",
"plt.title('Feature 1')\n",
"plt.subplot(122)\n",
"plt.hist(X2[Y2 == 0,1],alpha=0.3)\n",
"plt.hist(X2[Y2 == 1,1],alpha=0.3)\n",
"plt.title('Feature 2')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Z3 = X2\n",
"df_Z3=pd.DataFrame(Z3)\n",
"sb.pairplot(df_Z3)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Z3lbc = np.empty((nsamples,2))\n",
"Z3lbc[:,0]= Z3[:,0]\n",
"Z3lbc[:,1]= np.log(Z3[:,1]+5.) # Box-Cox type transform\n",
"plt.subplots(figsize=(12, 5))\n",
"plt.subplot(121)\n",
"plt.scatter(Z3[:,0],Z3[:,1], c=Y2)\n",
"plt.subplot(122)\n",
"plt.scatter(Z3lbc[:,0],Z3lbc[:,1], c=Y2)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pca.fit(Z3)\n",
"Z3pca = pca.transform(Z3)\n",
"pca.fit(Z3lbc)\n",
"Z3lpca = pca.transform(Z3lbc)\n",
"plt.subplots(figsize=(12, 5))\n",
"plt.subplot(121)\n",
"plt.scatter(Z3pca[:,0],Z3pca[:,1],c=Y2)\n",
"plt.title('PCA transform')\n",
"plt.xlabel('PCA 1')\n",
"plt.ylabel('PCA 2')\n",
"plt.subplot(122)\n",
"plt.scatter(Z3lpca[:,0],Z3lpca[:,1],c=Y2)\n",
"plt.title('PCA transform after linearization')\n",
"plt.xlabel('PCA 1')\n",
"plt.ylabel('PCA 2')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.subplots(figsize=(12, 5))\n",
"plt.subplot(121)\n",
"plt.hist(Z3pca[Y2 == 0,0],alpha=0.3)\n",
"plt.hist(Z3pca[Y2 == 1,0],alpha=0.3)\n",
"plt.title('PCA Feature 1')\n",
"plt.subplot(122)\n",
"plt.hist(Z3pca[Y2 == 0,1],alpha=0.3)\n",
"plt.hist(Z3pca[Y2 == 1,1],alpha=0.3)\n",
"plt.title('PCA Feature 2')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The PCA feature distributions are not clearly separated but are seen in the two features. "
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.subplots(figsize=(12, 5))\n",
"plt.subplot(121)\n",
"plt.hist(Z3lpca[Y2 == 0,0],alpha=0.3)\n",
"plt.hist(Z3lpca[Y2 == 1,0],alpha=0.3)\n",
"plt.title('linearized PCA Feature 1')\n",
"plt.subplot(122)\n",
"plt.hist(Z3lpca[Y2 == 0,1],alpha=0.3)\n",
"plt.hist(Z3lpca[Y2 == 1,1],alpha=0.3)\n",
"plt.title('linearized PCA Feature 2')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"labels = Y2\n",
"result=[classify(Z3)]"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"result.append(classify(Z3pca))"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"result.append(classify(Z3lpca))"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Method | \n",
" CV Train Accuracy | \n",
" CV Test Accuracy | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" original | \n",
" 0.9065 | \n",
" 0.892 | \n",
"
\n",
" \n",
" 1 | \n",
" PCA | \n",
" 0.9370 | \n",
" 0.928 | \n",
"
\n",
" \n",
" 2 | \n",
" linearPCA | \n",
" 0.9175 | \n",
" 0.914 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Method CV Train Accuracy CV Test Accuracy\n",
"0 original 0.9065 0.892\n",
"1 PCA 0.9370 0.928\n",
"2 linearPCA 0.9175 0.914"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"methods = pd.DataFrame(['original','PCA','linearPCA'])\n",
"df3=pd.DataFrame(result)\n",
"df3=pd.concat([methods,df3],axis='columns')\n",
"df3.columns=['Method','CV Train Accuracy', 'CV Test Accuracy']\n",
"df3"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The better success of the classification using PCA transformed data with linearization stems from the fact that in this case both PCA features can be used to classify."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Conclusion\n",
"\n",
"- The improvement from using the original data to using the PCA-transformed data is significant. An ultimate higher accuracy is obtained by first linearizing the data before applying the PCA transform. The PCA-transformation may be help all the time but it is worth to spend a moment to test it in our classification projects.\n",
"- The combination of the Box-Cox, scaling, and a PCA transform provides a way to obtain quasi-uncorrelated marginal distributions will help in generating random samplings. The sampling of the original distribution is don eby performing the inverse transforms. \n",
"- One should try different transform. Depending on the data at hand, a direct PCA transform could provide the highest gain in classification accuracy.\n",
"- The sampling of the distributions can be employed to generate artificial data and augment the data for subsequent training of machine-learning algorithms.\n",
"\n",
"### Afterthoughts\n",
"\n",
"The PCA components or the latent (i.e. not observable in the statistical vocabulary) variables in the Factor Analysis may have indeed a meaning for an expert. As a simple example, features like the income, the leisure budget, and the car budget should be correlated and could be factored into a social wellness index. Having less features helps to avoid the \"curse of dimensionality\".\n",
"\n",
"In physical science many variables are related to each other, in fact this is the aim of the researchers to find these relationships. It is thus not surprising that a PCA/FA would reveal tightly related (correlated in the statistical sense) variables that can be grouped into PCA components or FA factors. A PCA/FA/ICA not only helps us in remedying the curse of dimensionality in further machine learning analysis (regression, classification) but it also provides insights into the relationships within the data without reference to any known labels. "
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.14"
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