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March 13, 2020 20:41
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maxnet24.ipynb
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{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"name": "maxnet24.ipynb", | |
"provenance": [], | |
"collapsed_sections": [], | |
"authorship_tag": "ABX9TyMTMrjNUeyQ/6ebCKa8hZkn", | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/maxkleiner/2fd44a3ce1b0c03a1378d594da9e24dd/maxnet24.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "SSCJW03cS9o2", | |
"colab_type": "code", | |
"outputId": "affcc0b6-837e-4bb4-b41d-55bf258d4b96", | |
"colab": { | |
"resources": { | |
"http://localhost:8080/nbextensions/google.colab/files.js": { | |
"data": 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"ok": true, | |
"headers": [ | |
[ | |
"content-type", | |
"application/javascript" | |
] | |
], | |
"status": 200, | |
"status_text": "OK" | |
} | |
}, | |
"base_uri": "https://localhost:8080/", | |
"height": 75 | |
} | |
}, | |
"source": [ | |
"from google.colab import files\n", | |
"uploaded = files.upload()" | |
], | |
"execution_count": 25, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/html": [ | |
"\n", | |
" <input type=\"file\" id=\"files-dfe7959c-579a-4a5e-bc8c-315cd6a48317\" name=\"files[]\" multiple disabled />\n", | |
" <output id=\"result-dfe7959c-579a-4a5e-bc8c-315cd6a48317\">\n", | |
" Upload widget is only available when the cell has been executed in the\n", | |
" current browser session. Please rerun this cell to enable.\n", | |
" </output>\n", | |
" <script src=\"/nbextensions/google.colab/files.js\"></script> " | |
], | |
"text/plain": [ | |
"<IPython.core.display.HTML object>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
}, | |
{ | |
"output_type": "stream", | |
"text": [ | |
"Saving data_multivar2.txt to data_multivar2 (3).txt\n" | |
], | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "JKaW6kXkftoU", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"This tutorial shows a Regressor, Classifier and Cluster with a Support Vector Machine and KMeans from sklearn\n", | |
"\n", | |
"We do have a dataset of 2 Columns samples and 1 Column Target of Label 0 and 1" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "RUcGrnHIixgP", | |
"colab_type": "code", | |
"colab": {} | |
}, | |
"source": [ | |
"import requests\n", | |
"r = requests.get('http://www.softwareschule.ch/examples/data_multivar2.txt')\n", | |
"open('data_multivar2.txt', 'wb').write(r.content)\n", | |
"from google.colab import files\n", | |
"files.download('data_multivar2.txt')" | |
], | |
"execution_count": 0, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "mFdOj-S2T0Cq", | |
"colab_type": "code", | |
"outputId": "2333beba-eb78-4198-bdcc-315ec344bdbf", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 333 | |
} | |
}, | |
"source": [ | |
"print (uploaded['data_multivar2.txt'][:200].decode('utf-8') + '...')" | |
], | |
"execution_count": 27, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"5.35,4.48,0\n", | |
"6.72,5.37,0\n", | |
"3.57,5.25,0\n", | |
"4.77,7.65,1\n", | |
"2.25,4.07,1\n", | |
"6.08,3.01,1\n", | |
"4.91,5.52,0\n", | |
"5.79,4.09,0\n", | |
"5.03,5.92,0\n", | |
"5.51,7.32,1\n", | |
"3.49,4.08,1\n", | |
"7.32,2.71,1\n", | |
"4.5,4.76,0\n", | |
"5.35,4.94,0\n", | |
"5.18,4.91,0\n", | |
"4.77,9.15,1\n", | |
"2.5,4.35,...\n" | |
], | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "OKvP2uEb5Wo1", | |
"colab_type": "code", | |
"outputId": "f37441a6-50f5-40e2-b3f7-e02d5304863c", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 54 | |
} | |
}, | |
"source": [ | |
"print(type(uploaded))\n", | |
"print(type(files))" | |
], | |
"execution_count": 28, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"<class 'dict'>\n", | |
"<class 'module'>\n" | |
], | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "9iwcKnmc5SR9", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "fNY1kNYCVpBn", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"Now convert to a dataframe with pandas and define column names\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "Fyz9drNJ5dW3", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"I load some machine learning data from a CSV file of softwareschule, see link below. \n", | |
"\n", | |
"The first 2 columns are observations and the remaining column is the target to test a feature predictor." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "YxO0nnYeVK7y", | |
"colab_type": "code", | |
"outputId": "2d115dd9-eeeb-41ed-9bfb-20805f6ecbbb", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 424 | |
} | |
}, | |
"source": [ | |
"import pandas as pd\n", | |
"import io\n", | |
"import numpy as np\n", | |
"\n", | |
"BASEPA = 'C:/maXbox/maxbox3/maxbox3/maXbox4/crypt/viper2/'\n", | |
"# http://www.softwareschule.ch/examples/data_multivar2.txt\n", | |
"\n", | |
"df = pd.read_csv(io.StringIO(uploaded['data_multivar2.txt'].decode('utf-8')))\n", | |
"#df = pd.read_csv(BASEPA+'data/data_multivar2.txt') #read data from CSV file\n", | |
"df.columns = ['X1','X2','Y']\n", | |
"df" | |
], | |
"execution_count": 29, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
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" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>X1</th>\n", | |
" <th>X2</th>\n", | |
" <th>Y</th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>0</th>\n", | |
" <td>6.72</td>\n", | |
" <td>5.37</td>\n", | |
" <td>0</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>1</th>\n", | |
" <td>3.57</td>\n", | |
" <td>5.25</td>\n", | |
" <td>0</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2</th>\n", | |
" <td>4.77</td>\n", | |
" <td>7.65</td>\n", | |
" <td>1</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>3</th>\n", | |
" <td>2.25</td>\n", | |
" <td>4.07</td>\n", | |
" <td>1</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>4</th>\n", | |
" <td>6.08</td>\n", | |
" <td>3.01</td>\n", | |
" <td>1</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>...</th>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>294</th>\n", | |
" <td>5.24</td>\n", | |
" <td>4.92</td>\n", | |
" <td>0</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>295</th>\n", | |
" <td>5.14</td>\n", | |
" <td>5.14</td>\n", | |
" <td>0</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>296</th>\n", | |
" <td>5.28</td>\n", | |
" <td>8.66</td>\n", | |
" <td>1</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>297</th>\n", | |
" <td>2.68</td>\n", | |
" <td>2.49</td>\n", | |
" <td>1</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>298</th>\n", | |
" <td>7.28</td>\n", | |
" <td>2.63</td>\n", | |
" <td>1</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"<p>299 rows × 3 columns</p>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" X1 X2 Y\n", | |
"0 6.72 5.37 0\n", | |
"1 3.57 5.25 0\n", | |
"2 4.77 7.65 1\n", | |
"3 2.25 4.07 1\n", | |
"4 6.08 3.01 1\n", | |
".. ... ... ..\n", | |
"294 5.24 4.92 0\n", | |
"295 5.14 5.14 0\n", | |
"296 5.28 8.66 1\n", | |
"297 2.68 2.49 1\n", | |
"298 7.28 2.63 1\n", | |
"\n", | |
"[299 rows x 3 columns]" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 29 | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "ulI_ua9AV7sB", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"now make a scatter plot\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "xv__OuzKWEKG", | |
"colab_type": "code", | |
"outputId": "0c1234fd-2148-4a42-d88b-e705d5eb7b74", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 500 | |
} | |
}, | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"from sklearn.svm import SVR, SVC \n", | |
"from sklearn.metrics import mean_squared_error \n", | |
"from sklearn.metrics import accuracy_score\n", | |
"\n", | |
"df.info()\n", | |
"Datarange = 299\n", | |
"\n", | |
"X=df.iloc[:,[0,1]]\n", | |
"y=df['Y']\n", | |
"# switch between regressor or classifier\n", | |
"model = SVR(gamma='auto') #='scale' \n", | |
"model = SVC(gamma='auto') #='scale'\n", | |
"print(model)\n", | |
"print(X)\n", | |
"\n", | |
"model.fit(X,y)\n", | |
"y_pred = model.predict(X)" | |
], | |
"execution_count": 30, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"<class 'pandas.core.frame.DataFrame'>\n", | |
"RangeIndex: 299 entries, 0 to 298\n", | |
"Data columns (total 3 columns):\n", | |
"X1 299 non-null float64\n", | |
"X2 299 non-null float64\n", | |
"Y 299 non-null int64\n", | |
"dtypes: float64(2), int64(1)\n", | |
"memory usage: 7.1 KB\n", | |
"SVC(C=1.0, break_ties=False, cache_size=200, class_weight=None, coef0=0.0,\n", | |
" decision_function_shape='ovr', degree=3, gamma='auto', kernel='rbf',\n", | |
" max_iter=-1, probability=False, random_state=None, shrinking=True,\n", | |
" tol=0.001, verbose=False)\n", | |
" X1 X2\n", | |
"0 6.72 5.37\n", | |
"1 3.57 5.25\n", | |
"2 4.77 7.65\n", | |
"3 2.25 4.07\n", | |
"4 6.08 3.01\n", | |
".. ... ...\n", | |
"294 5.24 4.92\n", | |
"295 5.14 5.14\n", | |
"296 5.28 8.66\n", | |
"297 2.68 2.49\n", | |
"298 7.28 2.63\n", | |
"\n", | |
"[299 rows x 2 columns]\n" | |
], | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "NpAITyaUuztA", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"now the plot and score of classifier and also Mean squared error as regression loss\n", | |
"\n", | |
"accuracy score: the set of labels predicted for a sample must exactly match the corresponding set of labels in y (y_true).\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "5tTmZQZYu4ra", | |
"colab_type": "code", | |
"outputId": "64024f09-93a8-4ded-8b67-7e8f2bb2e685", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 337 | |
} | |
}, | |
"source": [ | |
"x_ax=range(Datarange)\n", | |
"plt.scatter(x_ax, y, s=5, color=\"blue\", label=\"original\")\n", | |
"plt.plot(x_ax, y_pred, lw=1.5, color=\"red\", label=\"predicted\")\n", | |
"plt.title('predict high variance - may be overfitted')\n", | |
"plt.legend()\n", | |
"plt.show() \n", | |
"\n", | |
"score = model.score(X,y)\n", | |
"print('SCO: ',score)\n", | |
"# if regression: We can't have more than one value on y_type => The set is no more needed\n", | |
"print('ACC: ',accuracy_score(y, y_pred, normalize=True))\n", | |
"print('MSE: ',mean_squared_error(y, y_pred, squared=False))" | |
], | |
"execution_count": 31, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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PGcrrU87y9v1BG9h79vX0YgMttX35VfO5jJ/cg/p/t3H9rtNZ/d4KNtGDGzmLPeoGUF8P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\nkdCDIAhqwj+IfyTLvbDkIAAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
}, | |
{ | |
"output_type": "stream", | |
"text": [ | |
"SCO: 0.959866220735786\n", | |
"ACC: 0.959866220735786\n", | |
"MSE: 0.20033416898825335\n" | |
], | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "Z2mFmWFIwAy0", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"we try to plot the 2 features as feature contribution\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "1SDSAnUnwMBS", | |
"colab_type": "code", | |
"outputId": "dd3314d9-993b-434d-bdd1-a362ed204ff9", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 300 | |
} | |
}, | |
"source": [ | |
"x_ax=range(Datarange)\n", | |
"#print(X)\n", | |
"plt.scatter(df.iloc[:,[0,1]], df.iloc[:,[1,2]], s=5, color=\"blue\", label=\"original\")\n", | |
"#plt.plot(x_ax, y, lw=1.5, color=\"red\", label=\"predicted\")\n", | |
"plt.title('feature contribution')\n", | |
"plt.legend()\n", | |
"plt.show() \n", | |
"\n", | |
"score=model.score(X,y)\n", | |
"print('SVM Score:',score)" | |
], | |
"execution_count": 32, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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xzL8maYSiTUITZSNdGBuilt6HQcunh02yQnvSFSDZw03gah3TwxLioDaEFf1GUb7d/rDE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\nIYRkCIo2IYRkCIo2IYRkCIo2IYRkiP8P4Wh6m4hYw9EAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
}, | |
{ | |
"output_type": "stream", | |
"text": [ | |
"SVM Score: 0.959866220735786\n" | |
], | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "uqBlHyPKDBfB", | |
"colab_type": "code", | |
"outputId": "1fbc37cb-232d-4709-ca86-96ba4cf97ef7", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 296 | |
} | |
}, | |
"source": [ | |
"# check the performance\n", | |
"from sklearn import datasets, metrics\n", | |
"\n", | |
"# if regression: ValueError: Classification metrics can't handle a mix of binary and continuous targets\n", | |
"\n", | |
"print('Confusion Matrix: \\n',metrics.confusion_matrix(y, y_pred),'\\n')\n", | |
"print('Classification Report: \\n',metrics.classification_report(y, y_pred),'\\n')\n" | |
], | |
"execution_count": 33, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"Confusion Matrix: \n", | |
" [[143 6]\n", | |
" [ 6 144]] \n", | |
"\n", | |
"Classification Report: \n", | |
" precision recall f1-score support\n", | |
"\n", | |
" 0 0.96 0.96 0.96 149\n", | |
" 1 0.96 0.96 0.96 150\n", | |
"\n", | |
" accuracy 0.96 299\n", | |
" macro avg 0.96 0.96 0.96 299\n", | |
"weighted avg 0.96 0.96 0.96 299\n", | |
" \n", | |
"\n" | |
], | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "A2m5iB4oDhlo", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"now we show the classifier in his discrimination density\n", | |
"\n", | |
"149 points belong to zero as blue \n", | |
"and 150 points to class one as brown\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "fRf9vryrDshM", | |
"colab_type": "code", | |
"outputId": "e0f19903-50a8-491c-82da-d1b4c205908f", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 281 | |
} | |
}, | |
"source": [ | |
"plt.scatter(df.X1, df.X2, c=y, s=80, edgecolors='black', linewidth=1, cmap=plt.cm.Paired, label='Zero')\n", | |
"\n", | |
"plt.title('cell class distribution')\n", | |
"plt.legend()\n", | |
"plt.show() \n" | |
], | |
"execution_count": 34, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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fDn/nTJiGLVdiuRydhpEQvLf7Nu0CHOhW2QkrU2NalrVn3+3kEs/1ypWrvFzX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XkqdFotC8YNY8aAd3G6vZfmiiiCkk+z5pshJMdEkJub+5if6OvBtm3bKOnvx67FMymXfY2gzKts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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "vnbL8UyGH3n7", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"now we check the prediction to compare visual\n", | |
"\n", | |
"we just change c=y to c=pred_y\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "1AURsIy5IAPU", | |
"colab_type": "code", | |
"outputId": "9e2b6530-51c7-40b7-b4bc-6c1e9c010a0d", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 281 | |
} | |
}, | |
"source": [ | |
"plt.scatter(df.X1, df.X2, c=y_pred, s=80, edgecolors='black', linewidth=1, cmap=plt.cm.Paired, label='Zero')\n", | |
"\n", | |
"plt.title('cell class predict distribution')\n", | |
"plt.legend()\n", | |
"plt.show() " | |
], | |
"execution_count": 35, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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f/gPYF6rJZW9uW9aBrdfiDMY3llKy7XYqIz75jLMXLlGzW1+mnkrizd9uMvVU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\nKusAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "CoC8k57yAP1v", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"so the highlight is to show the classifier boundaries as Explainable AI\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "CwxuKA4TAbcn", | |
"colab_type": "code", | |
"outputId": "7efcac90-a903-403f-ccab-df204029d410", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 268 | |
} | |
}, | |
"source": [ | |
"# Plot the classifier boundaries on input data\n", | |
"def Plot_Classifier(classifier, X, y, title='Classifier boundaries', annotate=False):\n", | |
" # define ranges to plot the figure \n", | |
" x_min, x_max = min(X[:, 0])- 1.0, max(X[:, 0]) + 1.0\n", | |
" y_min, y_max = min(X[:, 1])- 1.0, max(X[:, 1]) + 1.0\n", | |
" # denotes the step size that will be used in the mesh grid\n", | |
" step_size = 0.01\n", | |
" # define the mesh grid\n", | |
" x_values, y_values = np.meshgrid(np.arange(x_min, x_max, step_size), np.arange(y_min, y_max, step_size))\n", | |
" # compute the classifier output\n", | |
" mesh_output = classifier.predict(np.c_[x_values.ravel(), y_values.ravel()])\n", | |
" # reshape the array\n", | |
" mesh_output = mesh_output.reshape(x_values.shape)\n", | |
" # Plot the output using a colored plot \n", | |
" plt.figure()\n", | |
" # Set the title\n", | |
" plt.title(title)\n", | |
" # choose a color scheme you can find all options \n", | |
" # here: http://matplotlib.org/examples/color/colormaps_reference.html\n", | |
" plt.pcolormesh(x_values, y_values, mesh_output, cmap=plt.cm.gray)\n", | |
" # Overlay the training points on the plot \n", | |
" plt.scatter(X[:,0], X[:,1], c=y, s=80, edgecolors='black',linewidth=1,cmap=plt.cm.Paired,label='Zero')\n", | |
"\n", | |
" # specify the boundaries of the figure\n", | |
" plt.xlim(x_values.min(), x_values.max())\n", | |
" plt.ylim(y_values.min(), y_values.max())\n", | |
" # specify the ticks on the X and Y axes\n", | |
" plt.xticks(())\n", | |
" plt.yticks(())\n", | |
" if annotate:\n", | |
" for x, y in zip(X[:, 0], X[:, 1]):\n", | |
" # Full documentation of the function available here: \n", | |
" # http://matplotlib.org/api/text_api.html#matplotlib.text.Annotation\n", | |
" plt.annotate(\n", | |
" '(' + str(round(x, 1)) + ',' + str(round(y, 1)) + ')',\n", | |
" xy = (x, y), xytext = (-15, 15), \n", | |
" textcoords = 'offset points', \n", | |
" horizontalalignment = 'right', \n", | |
" verticalalignment = 'bottom', \n", | |
" bbox = dict(boxstyle = 'round,pad=0.6', fc = 'white', alpha = 0.8),\n", | |
" arrowprops = dict(arrowstyle = '-', connectionstyle = 'arc3,rad=0'))\n", | |
"\n", | |
"X1 = np.array(X)\n", | |
"y1 = np.array(y)\n", | |
"Plot_Classifier(model, X1, y1, title='SVC Cell Classifier boundaries', annotate=False)\n", | |
"plt.show()" | |
], | |
"execution_count": 36, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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ttqwnZCDVasPN3Z1PP5vG+InvUTgwAI3K9NBrNGpBVLKFcn7OuOvtYWRataBR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\nSUVORK5CYII=\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "swAy74xCNP7F", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"Can you see the six false positives (blue outside of black area)? \n", | |
"\n", | |
"Clustering: next we test a cluster method\n", | |
"\n", | |
"To create a K-means cluster with two clusters, simply type the following script:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "uFb0voAENUDF", | |
"colab_type": "code", | |
"outputId": "3b9f05d1-1ea4-48f5-f0a7-12678f8f8813", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 73 | |
} | |
}, | |
"source": [ | |
"from sklearn.cluster import KMeans\n", | |
"kmeans = KMeans(n_clusters=2)\n", | |
"kmeans.fit(X)" | |
], | |
"execution_count": 37, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n", | |
" n_clusters=2, n_init=10, n_jobs=None, precompute_distances='auto',\n", | |
" random_state=None, tol=0.0001, verbose=0)" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 37 | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "X6VjBMZ5OJCL", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"Now let's see what centroid values the algorithm generated for the final clusters. \n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "Ef7kqtlHOK-7", | |
"colab_type": "code", | |
"outputId": "d0447ef1-86c3-419b-c459-547f3763fadf", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 221 | |
} | |
}, | |
"source": [ | |
"print(kmeans.cluster_centers_)\n", | |
"\n", | |
"#The output is a one dimensional array of 299 elements corresponding to the clusters assigned to our data points.\n", | |
"\n", | |
"print(kmeans.labels_)" | |
], | |
"execution_count": 38, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"[[4.41357143 5.66839286]\n", | |
" [6.6492 3.42373333]]\n", | |
"[1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0\n", | |
" 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0\n", | |
" 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0\n", | |
" 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0\n", | |
" 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1\n", | |
" 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0\n", | |
" 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0\n", | |
" 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0\n", | |
" 0 0 1]\n" | |
], | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "a9P99TRGPSKs", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"Let's plot the data points again on the graph and visualize how the data has been clustered." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "FNM2TcaPPUfz", | |
"colab_type": "code", | |
"outputId": "9c4721f6-7008-4bf1-e8a9-b1f4e6572c88", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 284 | |
} | |
}, | |
"source": [ | |
"#plt.scatter(X[:,0],X[:,1], c=kmeans.labels_, cmap='rainbow')\n", | |
"plt.scatter(df.X1,df.X2, c=kmeans.labels_, cmap='rainbow')\n" | |
], | |
"execution_count": 39, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.collections.PathCollection at 0x7f4503a2d0f0>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 39 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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Mw1hy8ODBhC9UU/TU7yFDaYOxp8GZN4beb8bxnd5sN8ju1OOEj881l+cpt7zm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\n0AAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "bAtcVqpjP-xw", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"as we know we have 4 segments lets try with 4 clusters:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "Tl-dkJu9QGYk", | |
"colab_type": "code", | |
"outputId": "c316afd0-326d-4a0b-e8f1-f7c8be0a51a4", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 358 | |
} | |
}, | |
"source": [ | |
"kmeans4 = KMeans(n_clusters=4)\n", | |
"kmeans4.fit(X)\n", | |
"print(kmeans4.cluster_centers_)\n", | |
"plt.scatter(df.X1,df.X2, c=kmeans4.labels_, cmap='rainbow')" | |
], | |
"execution_count": 40, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"[[5.10820144 5.19359712]\n", | |
" [7.00163636 3.09672727]\n", | |
" [4.86259259 7.92444444]\n", | |
" [2.54156863 4.04607843]]\n" | |
], | |
"name": "stdout" | |
}, | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.collections.PathCollection at 0x7f4503a07978>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 40 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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4TvzNvdG2uDc6Wb8Y/jYLrq+E60bDXQdC85r0456+FKItYmWCJNFEmuG57/U9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\nBoOhTPj/60jS4qoPuxAAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "Y8ZgcfAZRBLr", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"Now let's plot the points along with the centroid coordinates of each \n", | |
"\n", | |
"cluster to see how the centroid positions effects clustering. " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "andiSB9-REYc", | |
"colab_type": "code", | |
"outputId": "56df3a7e-d567-4f72-8c8e-e14ff0188728", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 284 | |
} | |
}, | |
"source": [ | |
"import numpy as np\n", | |
"X = np.array(X)\n", | |
"plt.scatter(X[:,0], X[:,1], c=kmeans4.labels_, cmap='rainbow')\n", | |
"plt.scatter(kmeans4.cluster_centers_[:,0] ,kmeans4.cluster_centers_[:,1], color='black')" | |
], | |
"execution_count": 41, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.collections.PathCollection at 0x7f450396f5c0>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 41 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
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94boyuGcurPtf38dsDWgNr/7S2W565fItMybD0GME2zCkjN0bzv4vjJ8jIX0l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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "-oacdhAKPmhx", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"In our last experiment we manipulate an outlier, so we set the right down bottom bubble to label 0 instead of 1\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "itTTXUkFQCaI", | |
"colab_type": "code", | |
"outputId": "afdf434a-fc06-4e2b-d2e8-eaf14540252f", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 281 | |
} | |
}, | |
"source": [ | |
"#df.iloc[292,[2]]=0\n", | |
"df.loc[292, 'Y'] = 0\n", | |
"plt.scatter(df.X1, df.X2, c=y, s=80, edgecolors='black', linewidth=1, cmap=plt.cm.Paired, label='Zero')\n", | |
"\n", | |
"plt.title('cell class predict distribution')\n", | |
"plt.legend()\n", | |
"plt.show() " | |
], | |
"execution_count": 42, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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jeze6du2a7x4/Xx9uJSfiam1YaYenqnFycGDL1t84ePAgi+bPY++tm7h6uzPz0wF06NAB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\n28wsI1zYZmYZ4cI2M8uIfwAkGf3dSc4K6gAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "cY66tMtHVQs3", | |
"colab_type": "code", | |
"outputId": "1a2d87cb-0f0b-4a4c-a1e2-ca4d2b518857", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 110 | |
} | |
}, | |
"source": [ | |
"model.fit(X,y)\n", | |
"y_pred = model.predict(X)\n", | |
"print('Score: ',model.score(X,y))\n", | |
"print('Confusion Matrix: \\n',metrics.confusion_matrix(y, y_pred),'\\n')" | |
], | |
"execution_count": 43, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"Score: 0.9565217391304348\n", | |
"Confusion Matrix: \n", | |
" [[143 7]\n", | |
" [ 6 143]] \n", | |
"\n" | |
], | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "R24MbIWeWc2m", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"We do have one more false positive (7 instead of 6)\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "UiTDHhUsW5BZ", | |
"colab_type": "code", | |
"outputId": "8310575d-e0f8-47a3-d3a8-4cd467f3b555", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 268 | |
} | |
}, | |
"source": [ | |
"X1 = np.array(X)\n", | |
"y1 = np.array(y)\n", | |
"Plot_Classifier(model, X1, y1, title='SVC Cell Classifier boundaries', annotate=False)\n", | |
"plt.show()" | |
], | |
"execution_count": 44, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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msWU/IRNpVhtu7u5M/WQ64ye+S7GgQDQqU67XaNSC6BQLFf2ccdfbw8i0akHT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boXjYPcGL3pKt8cT2V3bC4bL2byyuarHMlWsPG3rcX/uWVlZuCpKh0KulT1ZNPFLPRm2+l86y/l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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "44lJ7XAVZ-WR", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"So the new classifier spot is close behind of the outlier but we can improve that with a hyperparameter called C Regularization.\n", | |
"\n", | |
"C is the penalty parameter of the error term. It controls the trade off between smooth decision boundary and classifying the training points correctly. \n", | |
"Increasing C values may lead to overfitting the training data." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "D2jDc5oDawwF", | |
"colab_type": "code", | |
"outputId": "d2d79498-573d-427c-bcd2-ea1e44a168c0", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 110 | |
} | |
}, | |
"source": [ | |
"smodel = SVC(gamma='auto', C=10) #='scale'\n", | |
"smodel.fit(X,y)\n", | |
"y_pred = smodel.predict(X)\n", | |
"print('Score: ',smodel.score(X,y))\n", | |
"print('Confusion Matrix: \\n',metrics.confusion_matrix(y, y_pred),'\\n')" | |
], | |
"execution_count": 45, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"Score: 0.959866220735786\n", | |
"Confusion Matrix: \n", | |
" [[146 4]\n", | |
" [ 8 141]] \n", | |
"\n" | |
], | |
"name": "stdout" | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "Owzd4gghamr3", | |
"colab_type": "code", | |
"outputId": "01df2805-b65b-41a8-acf4-5996ca846044", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 268 | |
} | |
}, | |
"source": [ | |
"X1 = np.array(X)\n", | |
"y1 = np.array(y)\n", | |
"Plot_Classifier(smodel, X1, y1, title='SVC Cell Classifier boundaries', annotate=False)\n", | |
"plt.show()" | |
], | |
"execution_count": 46, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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Mg4cOo2bNmvel/p07dzLzg6ls3/krDoeDhvXrMublcXTp0uWuPsCXL1+mfp1a9KvgRusI\n76z8dofCqjPJ7I7XcPjP4/j45PRDvnDhAnNmfcRPK5aTlJSIxWKjVqgvfm5aziZacOjc+XLhN7Ru\n3brQ+i15OJALMSR5kp6eTs9uj3Hij0O0DTUQ5KHmWpqNrZdNtO/Uma8XfZvlNfAgMmrEc0Tv+omn\nq/u7TJ/xezzdRrzGiy/e8lbYvHkzfXv1pG0pD1qEuuOuVXHweho/nU0lrGwFpk6bTps2bfJte5ZI\n7oQUYEme9Or+OPEn9jKqjn8OdyyzzcG0/fE0e6wvs+bMLcIW5o2iKPh4eTCwqg97r6ZyPcWCQaOi\nSbgXHcr64mvQcOxGOkuvG/jz5BkAYmNjqViuDK828KdKYE47rtnm4N29cTz1wjhefuXVouiS5D9I\nXgIsH+8POefOnWPrli08V8svly+sXqPihbp+LFjwNYmJiUXUwjtjNBqxmDNYdyaR5uHeTGwZxrB6\nwUSlWhi94SIXEjII8dQRE3srCM9XX35B/RIeucQXnH0eUNWbj2fOwG7P2ztCIrkXyEm4h5yVK1fS\nJNTDpQcAgK9BQ43i3qxfv57+/fvf59bl5PDhwyz54XsS4+MoX6kyAwcO4uOPZlLe341JrULRqp19\nKImOyoHu7IlMYdKOK4xqWJziIbeC72xat4bmQXmbVMr5G7BbErhw4QLly5cv9H5JHl6kAD9EJCcn\ns3LlSmJiYihRogTdunUjNTUVL82dzVBeWkFqamqB6jp79iwbN27EbDZTs2ZN2rZt+7fsqQ6Hg/T0\ndHr16MbRQ7/TMtQNX71g296NvD3pLRRFYUa7W+Kbnabh3qw5nciiYwm8OmVc1nG73Y7qLiZtjVol\nR8CSQkcK8EOAoii8M2UyH06fTo3iXgTpFa6bYORzw+n6eDfOp+ftZaAoCmcTLVSsWDFfdSUlJfF0\nv77s2bWLhqFe6NUKnyfYsGvdWbzkRxo3bnzXMi5evMiMD6ax+LvFpKQZcddpCPHU8n6L4vhn8xWu\nG6hh4R+xFPfS5VlWuzI+LPwznkGDBmUda9ayNUfWLKJOcdfnXE0xY7IplCkjYzxIChcpwA8Bb0+e\nxOLPZjOzbXECPW4JWFSqJ+9vWkt8egYXEjwo4587gtjhqHQcOndatmx513qsViuPtGtDgPEan3cO\nRZc5KlUUhf3X0ujSqSM7du2hevXqeZZx+PBhOrRtQ5swAx+2DiHQXcOVFAtrTifw2pZI3m0bntUH\nT52aPCwnWWjVAhQFT0/PrGPDRzxPjXlz6VjanVBvfY78DkXhh1Op/G/oMHS6vIVdIrkXyEm4/ziJ\niYnM+HA6rzcslkN8AYp76RjXsBhCCN7ZG8vv19KyopbZHAo7LyUz90gSXyxYlC/zwerVq0m7EcmQ\nmn5Z4gvOaGiNQr3oHGFgxLChbNq0iRs3buQ6326307PbYwyu6sFT1fwI8tAihCDcR8/zDYrToZwv\nc/ZHZeUP99ETlWolOSN3jImbHLqejsmaMzZEeHg4H8+Zx6TdsWw4l4TRakdRFE7EGHlvbxyq4HK8\nOWnyXfsrkfxTpAD/x1m+fDm1S3jnWuZ7k5LeOioFe/O/EaNYHevO8E3XmfhbAsM2XGWvtTg/r99I\nmzZt7liHw+Fg48aNvPbSGDqE6lDdtnDCbHPw5aEbrPwrnqsnj/DG8AFUKFuavk/0IDY2Nivfpk2b\nMDgyaBru7bKexyv6cznZzNUUM+CMxeutV+cZrexCYga/X0+jQrncpoSBgwaxav0mooJqM2DVBXos\nPcPX56HfmPFs3rYDg8F1PGGJ5F4iTRD/caKjownW3XkyKcRNULx4cY6eOMXJkyeJjY2lZMmSlCtX\n7q7lX7hwga6dOmJLTSA9NZXiFUvkSLc7FN7bdQ0PrYo5nUtnPQjSLD4sP7WHZo0asP/QEXx9ffnt\ntz3U8svbHq1VC2qFeHAqzpRlOuhR2Z/vj8VhsjnoWaUY4T56jFY7Oy+l8MOxOIK83Rn90isuy2vS\npAmr1q5HURTsdrsMqiO578hf3H+ckJAQtlryDrcIEG1SCAkJQQhBlSpV8lXuxo0bmfbuFHbu3osQ\nUMxNg9muEJVqoWKAW1a+PZGpmGwO3mwZmsPP2FOnZlANf2YfjGfmjA+Z8vY7qFRqHHdZF+RQyDHC\n9tSr0bu5czbJyoStkZjtDuwOqBrkRpi/J8EVavDMM8/csUwhhBRfSZEgTRD/cXr16sWR66k5Ytlm\n51qKhfMJJrp27ZrvMqe+9y6D+/ehlu0SP/auwHP1Q7Ar0KmcL+vPJubY/WLz+SQer5h7kcdNHi/n\nyeeffoKiKLRt25bfY+15blOfYXNwJCqNqoFu2B0KuyNTWHgilZVr1vHsyLFo3T0J9PWhRDEfrmZo\n6TpgGOs2/fJAL6OWPNzIx/5/HF9fX15+5RXe//RjxjUodpsXhIWp++OZNHlKVnzcu3Ho0CFmTp/K\ntJbBFHPXYrTaWfRHDNPal6K4p46jN4x8dvAGz9YOytqNuJwL74qblPLVk5CUTEZGBi1atMDDP5CN\n51PoVM4Ho9WOzQGeOhUZVgdf/xGDVqPhm1NGLsQbCQgpzrfff07jxo1p0aIFEya+yZkzZ1AUhQoV\nKqDX6/OsVyJ5EJAC/BAw4c23UKvVvDRtKtVCvAjUK0Sb4FRsOpOnvM2o0WPyXdbsj2bQubRnli13\n1+VUqgd7ZNlk32wZypwD0Qz5+TwNQz1xKJCUYSfY03V5aRY7KpUKvV6PEIKVa9bRsH49VvwVR3KG\nDYHT9pthc6BRqfDw9MSzdA0qlzDx2779PNW3Nw6gX79+jJ/4FtWqVftH1yomJoZNmzaRkZFB9erV\nadiwYb53ZJZICooMxvMQkZKSwqpVq7hx4wYlS5bk8ccfx8PD9U4UeVGhdClGVlYR4esc1S44EoOP\nQU2PysVy5ItKtXA4Kp2D11Px0WsZ09j1qofVpxMxlW3G9z8uB+CtiRNY8MkcnqriRUyalTVnEhhQ\nM4hGoV5o1YJLiRl8+2cs5xIy0AhIsyoUc9NQzENHtFXHb/sPULZs2QJfG5PJxMjnhrF8+XJqlfTB\nXQ3HY034BgSzcPH31K1bt8BlSiQ3kdvSS/D29mbAgAH/qAy1WoU9m1utQSNIycjtZVHcS8ejXjqa\nhnsxfO0Fdl32pHkprxx5TsYaWXUunW1fTwTgwIEDfDZ3Nh+0Dibd4mD+gWhmdIzIYTaJ8DMwoUUo\nH+y5hodWzbN1gricZObn04k4UlLo36cX+w4eLlCfHA4H3bs+iunScT55JDRrG3qH4sPuy6l0aNua\nX/fspWrVqgUqVyK5G3ISTlIg2nfsxL4oU9bnxmFe7Lycgi0P9wWrXUGj1fHDBStv7Ylj3ZlENp9L\n4oMDCUw7kMh3S5dlBX2fO+sjOpV2x9egYdO5RNqV8cm1eAScXgtP1wziwLU0tCpB5UB3Xm1agmbh\nXvx1/Bh//fVXgfq0detWzh7/g9H1/LPEF5zeFi0ivOlW1p2Jr4+7QwkSyd9DCrCkQIwcPYZfLqZx\nOcm5GCLC10BZfwOf/B6N/TYRNlrtzD6cyOjRY7gYeZU3PpyPtWp7Usq34ulXpnDhciS1atUiOTkZ\ngN8P7KNmsHMy8GxCBrWK5zaPXEk288WhG3y8LwoF+PbPWJIybAgheLJ6IDa7g82bNxeoT198Mo8O\n4Xo0eXhqtC/jzZatWx/YkJySfy/SBCEpEBUqVGDep58z8rmhdIzwoGmoB09VD2Dm3iiGrjlP5/LO\nJcSXkq1sPJeARqNj4/q1hJaK4Omnn6ZXr14kJyfz3jvvUL5MBHablQyLjXp1apFhtmCxO0e8GpXA\nYr8l6DaHwpz9URy8noZaCDx1auqX8CDBaGPU+ou82rQE1YM9qBrkzvnz5wvUpyuRl6npk7ermrtW\njZ+nG9HR0fj5+f29CyeRuECOgCUF5sl+/fj1t/141e/CB3+YmHY4jRpNWjH+3enYK7dhwbEk9l9L\nZ2CNQKa1KU5n3yS+njqR+rVrMmPGDMqElWTf8i+Y3MSfhV3C+fbx0jQQV0lJjOf74wkA1C7uwe7L\nzq3lzTYHr26+xOUkMyPqhzCtfSlGNgxBQfBXrImBNQOZvuc68UYriqJQuXLlAvUnMDCImHTXftLg\n3M4+Mc1EsWLF8swjkfwdpBeE5J7SrFEDSmVE0qdKzpHijTQLr/5yGa1KRa0Qd55vEJLLvSs6zcIL\n6y8ytnEJqgS5M3LdBcY2KcH+q6nEm2yMa1oy14KObReTWXo8jprB7njp1aw5ncDqdRupVasWwcHB\n5IeffvqJN18YyrvNA1y6nG25kMRJt/L8sv3XAl4NicSJ3JJIck+xWq25VqwdOXKEc2dO8UQl3xzH\n7Q6Ft3depUt5P0w2O09Wdy10IZ462lcIYPbvsSw/ncKT1QOYvvsqWy8k81y9EJer6dqU9sHHoCHI\nQ8vm88k4FMGQp/pQvkwELRo3ZNu2bYAzJOa+ffuYPn06H374Ifv3789q/2OPPYYhoAQLjiXmmkw8\nEWPku5OpTHlv2j+6XhKJK6QNWJJvkpKSmPXRR3zx6XyiY+PR67Q80aMH48ZPoGrVqvzyyy80LG7I\nJZQHr6fhplVRt4Qnu6+k5hmZDaBWoJ5kn5pUat6SHxZ/gwNBmI8WP7e8f6rNwrw4E29CqxLM61YO\nb70aq13htytX6NP9cSZMeYeFX35ObNRV6gUbUFD46P23CQkNZ9nK1ZQpU4ZNW7fTp2d3hm88QpOS\nbrirFE6mCK6l2Vi8ZFm+AslLJAVFCrAkX8TFxdGsUQNKqtJ4tY4nEb7FSDbb2XJyO82brGXZT6uc\nEcVcOBIcuJZGqwgfNGqB2ebInSEbZrsDL29vpn4wnfET36RUWCgaleWO52jUgnijjapB7njrnW5k\nWrWgZYQPfgYN414ey8BaQXRqXzwrkM8zNRTWnYunZbMmHD56jMDAQLbs+JVjx46xZs0aTCYj3WvU\n5PHHH5eB2SWFhhRgSb4YMex/VDGkM6jGrYkoX4OGJyr7UamYnj5P9GDR4u/5arYNRVFymBgsdgUP\nrYqSXjrsisLZeBPli7mOPbH5XBLHY7fTrFF9xrw8jsqVKnH40O8YrXbcta6juh26nsbVFAtP1QzM\nlXYsxkizcC8eLZ/TLKISgq7lfbiSmsC8uXOZNNkZgL169ep33LFDIrmXSBuw5K5ER0ezadMmelXy\ncZleLcidcv4Gbty4gdrdh12RtzbwTDTZSM6w8c3RWEauv4iXTs2svddJt+TexWLf1VQik818/XgZ\nmmiu8+qIIRw+fJhqQe4sPxHvsu6/Yo38ecNI01JeVAnMLerbLiZRr7hHntHgOka4s/Crz/NzGSSS\ne44cAUvuyqFDh6gU7IOHLu+4wrX9BXt2bmfpipW0b9OKq2k2yvpomXcgmoahnjxZPQBPnZq/Yo2s\n+CuB4Wsu0ruaP1UDPUiz2Nl8PoljMUYmtAjF16ChWbg3XjoVnx0yMapBcV7fGkmy2U73yv6EeutJ\ns9j55XwSS47HIYBhdYNzjLqvpVj4/lgsyRkOvjsWR3KGnXAfHb2rBVAr5NYCj+JeWmLjo3J3SCK5\nD0gBluRJUlISixcvZv3ataQZjYBvnnltDgW1RkOtWrXYf/Awb096iw+//45xzUpSr8StUGhhPnpa\nRfjw5vYrbDmfzOpTiZhsDjqW9WVO59J462/9JN21alSAr5uGae1LseZ0AuO3RmK0OlAUqFfCg56V\n/Vl1KpF4k42AzMm9yGQzE7dF8lhFf0bUD8FDp8bmUNh3NZVZ+6IYXDuI5qWc2x5dS7EQFCD9eyVF\ngxRgiUu+/uorXhz9AnVKeFLKXWF7XCpJJhu+eXgj/B6nMP6RzgCUKVOGug0acmHfLznE9yZ6jYqh\ndYN5Y2skOq2G8c2dfr+3E+GrJ9ls53qqhRJeOvrXCKRf9QDMdgWtSqBWCSZtv0IZPwPzD0TzWvOS\n6NQqPvk9mierB/BIuVu+yBqVoFm4NyW9dEzcFkm9Ep64aVVsvGRi8NDn79FVk0gKhhRgSS5Wr17N\nGy+/yPutgrPi/MYYrXx95AajG5XI5Wa2KzKVeKuKbt26ZR1bt/onGgXlbbIo628gwNcLs0Pg7+76\nZ6hVq+hQ1of5B6J5q1UYWrVACIEh09XicFQaFxIzmPdoGT47GM3oDZdoFOrJ9VQL7cq4Hq2X9jNQ\nNcidHZeSyXAIzho1LBkhBe8TeyEAACAASURBVFhSNMhJOEkOFEVh4uuvMrSmT5b4AjxTK4h4k52J\n2yLZfzWVOKOVs/EmPjuSwDenjKzdsCnH1j82qzXH1vSu0GvU1KtXj33XjHnmCfPWE2PTMnF3LLsj\nU4hNt3IhMYMvD99g1t4oXm9eEi+9mqF1g3HXqlh/JpHSvoY8A+uAc9Lw++OJnNWG8euevXKJsaTI\nkAIsycHZs2e5ERVFndsikek1Kia1CqN9WV++ORrL6M1X+OysQv3ew/nzxMmskJI3adSsBUfj8o6v\nEJtuJT7dzLg3JrD2QhqxLmIxpFns/HTeyNzPvmTSR5+w2xzMyPUXmb7nGnq1ihkdI6gc6I7dofDu\nrmtUDHDjxcYlcuxJ54o0i4Puvfuwe98BwsPDC3B1JJJ7izRBSHKQmJhIMU9Djp2Hb6JVC1qX9sFd\nq+Kgpiybtu3Ms5xhw5+j6qxZdCrtQUnvnAsZFEXh++MJhJYsyaaNGxgy/Hne+HQ+j5Vxp3GYJxoh\n+P16GqsvmOj99DP07NkTIQS9e/emY9tWRCSf5tEKt0wMR6LTsdgdDKkTRIbNwZwDUcQZrVmTctlx\nKAqbzydRyeM0ycnJ+Pi4dq2TSO4HcgQsyUF4eDjXEtPIuMOKtcspVspWqHjHckJDQ5k562Mm7Yll\n64WkrBVwlxIzeH/XNf6MTqOBWyJn1i7gs3lzqVu/IQlhDXh1ZyxjtkVzzrsyXyxeyoczP8rhXjZz\n9jxWnDey4VwS1sytOX69lEKHsr6ohMBdq6ZDWV/m7o/OtepOURR+OBZHkIcW76SLdHmkAw7HnVfm\nSSSFiYyGJslF5w7tCE04TpcKuWPfmqwORm+JYuP2X6lVq9Zdy9q+fTtT35nMjl17UKGgQqFzeV+e\nqBKAm9b5/DfbHHz4ewI123Th868W3LXMY8eOMXL4/zhx/DhlA7w4fyOBEfWCsjwubA6Fj/dFcSbe\nROfyfkT46ok32th03vkgmNQqDG+Dmld3xjJnwfd07NixgFdIIikYeUVDkwIsycWJEydo0bQx/St5\n0jrCO8vr4UaahblHkqjXtgtfLVxUoDKjo6OpULYMH7cv4TIYT7rFzvANV/nrzFlKliyZrzLPnTvH\nmTNn+GTubIpF/0GPSrceGIqicCrOxObzydxIs3Ap2cygmkG0KeOTNUG34VwSieGNWbL8pwL1RSIp\nKHJTTkm+qVq1Ktt27mLY4EEs3XSOCoGepFkcXE40MuqFF3hz0pSsvMeOHePDmR+xetUqjMZ0ylWo\nSM9u3fjj8CEOHTmCXVEIDQ2laePG1CjulWckNA+dmoZhXqxYsYIXXnjhju0zGo3s3bsXs9lM1apV\nmfDWZHp07sCj5XzQa5yjaiGce8VVDnRn3ZlE3KPT6VAup2tasLuGU9FyFZyk6JACLHFJzZo12Xfw\nCCdOnODUqVO4u7vTsmVL3N1vLZhYu3YtAwYOokO/wby7ZBOePn78ufdXZr8zDk9vH7oMeZGg0FJE\nXT7P0kWf4kgzkWFzYNC4nnrw0ziy9odzhc1mY9LECcyfP49QHzfctGrOxKTQsGFD6jRqwgcHfuf5\n2n74Zy4WcSgKuy6nsPR4HFNah+Uq70qqlfBKEf/sQkkk/wApwJI7UrVqVZfbscfHx/PUgAG8NGsR\n5arXzjq+a80y6rXqwLNvvI9K5RTaqvWb0Lrbk8x5/XlmHzrAqw0DXNZ12aSia+nSLtMUReHpfn05\ns38H01oGEezp9Kww27xZd+4km6/Z6Ny5C6OXLaNysBeeOhV/XIlHKxQmtgwlws+QozyrXWHLFTPf\nfSwXYUiKDinAkr/FggULqN2sbQ7xjYq8yOmjB5mzfl+W+N5ErdEwbNIMnm9fh3ijTy5TRGSymTNx\nRnr06OGyvl27drFn+xZmtA7OMjOA0z+5RyVfjLYEHA47kdeus2XLFoxGI4OEYNSI4cQZbZTzvxUi\nM9Vs55M/EqlVvxFNmza9V5dEIikwUoAlLrcHuhtuHp78783pKIrC9YvnSE9N4c+9O2jQthNanT7P\nc6o3bsnKk/sZXCcIIQSKonAyzsTHhxL5cOasHCaO7Hwy92M6ljLkEN/sdCnnzfPLl+Pu5cupM2fQ\n6XQ82ac3azds4tkBT7HkTAyVi+lJtyn8cT2FPn36MGf+p3+r7/eDv9OugkyoSx4MpAA/ZNwrwVGA\ns0cPsmreVEwpCfi667gck0yHfkPueJ6njx/7/hT8ufUGJX0M3EizYNcY+GjeZ/R98sk8zzt35gw9\nA10LOziDw6sdNpb9uBRjWgoBHjpG/LIRncHA518vJCgoiL/++gs3Nzc6depEYGDu4O1Fyb34XrKX\nIcX434EU4IeAwhjlmdPT2L/qW0Y3DKZmcAmEEOyJ1LN8305gvMtzFEXh1KG9LPlxGZ6enly7do3g\n4GAaNWqUy2RxOz6+viSaEvJMt9oVTFY7vcMEHctFoFUL7A6FA9fSGNS/Lwu/W8KwYcP+SZcLhcIa\ngd8sVwrxg41cCfcfRghRaDe4RiWY2jaUWiEeWXU0CvUiJTqS4/t3uzzn4I5NqIVC69atadCgAd27\nd6dJkyZ3FV+ApwYNZse1vGNL7L2aSqi3ji4V/dGqne1RqwSNw7yY1LIkQ54ZiNls/hs9LRwK87sp\ninokfw8pwP9BCvumE0CjUM8sT4SbqFWCF+r6M/eVIWxftQRLhgmADJORTUsXMm/8KK5GXs6X4N5O\nnz59iFP0rD6dlGtUF5ls5rODNxjoYk84gPLF3Aj1VPPTT0W74OLm91IUgihF+MFEmiD+Q9yvm0yn\nFtQM8XCZVjPEg4lNVLw3awqLpk3E08eXtOQkgsNK4XDcEs6CviK7ubmxbeduOndox55fY2karMFN\no+JorJkDV5OpGOhJreK5g7/fpGoxLSdPnixAL+8dD4r43Zz0lDw4SAHOg7i4OPbs2YPdbqdevXoP\ndNjC+32D2xWF5Izcm2repEIxN4q5a3ls2CsEh0dQpnINrBYzL/VolZVHq9Oh0elx9/ImIz2NmJgY\nAgJc+wffpFSpUmzcso1+fXuz5OBBPPUazHYFNHo83Ax3PDfFouDpmbdAFwYPivBmR9qGHyykAN9G\nWloao0YMZ8WKn6hS3Bu1EJyISqZ58+Z8/vVCihcvXtRNzEFR3OQ2hzOOQs8qxVzWfyXZTKzJRtsn\n+qPROs0Uu9auQKVSodZo0BnceOTJZ6nRuCVmk5Htq5ZQIjQUq9mcpzDExsYy/YMP+HTuxwjFQYSP\njkfK+dI03JsxW6M4ei2JFLN3jj3lbmKxO9h3PYNZ2XbsKEweROGVPJhIAc6GxWLhkXZtcEu8xPxH\nQvHWO7fUybB5s/L0UZo2bMDvR/54YHZQKMobPdVsZ9EfsQysFZijHWkWOx8fSqTz08OzxNdsMrH8\nsxlkGNPxDwrh3e/W41Pslr22RuOWHP1tBzNf+p/L1+Rjx47Rvk0rqngrTGheAj+DmvOJGaw+lcjW\nC8k8XyuAt3dFMXN/LG80Dc6xE4fdoTD/UBwtWrWiQoUKhXpN4N8jvtIc8WAgo6Fl45tvvmHmhLFM\nahrgMiD5/MPx1O3+LO++P7UIWpeTB+FG16sFAe5aulb0w89Nw+k4E5svpFCrVSeee28eAOeOHWHB\n1PFcu3gWtVrDyPfmUqdFO5flzX5tBPu3rEPJFqPXYrFQNiKcJ0oJWkXkDJ5udyjM3HsdH72aVqV9\neGdXFCh2ulTwJ9xHR3SalV8uG6lQrRar1q7Hy8urUK7Dg/Bd/F2kCN8fZDjKfNCkfh1au8XQMNT1\njXol2czkfYnciEso0pvuQbvh9WrnDsUWuwM7KrRaHXo3N+x2O3abDUuGCUVR0OkNfL37FCq16806\nj+/fzUcvD8WUnprjeGk/PbMecR0jIsFkY+S6C3zxWFnOJ2aw+LKWSpUrkRAXS+my5XhmyFBatmxZ\nKNfsQfse/g5SgO8PMhxlPrgceYWIht55pof56ElKScVsNmMw3HnSp7B4EG96s10B+80b2YHFnIHF\nnJErn0arzVN8AQzuOT0rdJn+vG1L571tkL+bhtJ+Bk7HmzBZHZQKL82qNesK3ol88iBe/3+CNEUU\nLdIPOBu+Pt4kmPKe3U/OsKFWq9HpdHnmkeSN1Wrl2oWzeab/uW8nNpsFcI6qe1ctRpMwrzvucAyg\nVQkcCvwaZaPv04PuZZOz+C8vaPiv9uvfgBTgbPQf+Axbr+Qeud1ky8VUej/R828tJLgX/NtvFLvN\nytK501yOuFISE9iw+EusZjNalWBiy1B6VQ2gapA7h6PS8ywz3WLnTLyJy0kWrpvV9OnT5561tygX\nTkgeDqQAZ2PosOEcT3Sw5UJKrrSj0emsuZDOuDcmFEHLHny0Oh1anZ7SVWpQoWY9dHoDereckc0c\ndjt/7vuVWa8M4/ql885jDgdHf9vBhKceJcPkFNryxQxUD3aaI1qU8uZUnIm/Yo0u6/3xRDw6tWDp\n8Vgir0Xh4eF6gUh+yC64UnQl9wM5CXcbJ0+epGunjuhsRhoEqNCoBEcTFSJTbPz400patmxZZG17\nUEVBZ3CjaoOm/G/CNHwDggDIMKaz6ss5bFzyNSq1ChTnMQC1WoNao0GrN2CzWhBCZKXpVIJBtYN4\nNNuGoEei0pm59zo9K/vTtowvXno1kclmlv+VwP6rqXfcwVmSP6QduHCRk3D5pHLlypw+f5GNGzey\nacN6bDYrL7ZoRc+ePdHr8w6HWNg8qOILEFQyjLEffoFac+vnZHD3oO8Lr5GSFE9Gehq1m7dj09IF\nXD1/BkuGCbvd5nKiTkHB7sgpBrWLe/B26zBWnkrg2dXnsDsUPDw8iKhWB0f0QbCZCr2PhY1KrUat\n1mCzWqQYPkTIEfC/hAdVgA3uHvxv4gc07viYy/SoyxeY/GwP5v9yGJVKxZqF81nx+aysQD2uiPDV\n83GnW25nRqudfVfTSDLZ0KoEi/9KommXPuxau8yliP+b0Bnc0OkNtOnRj2LBxTlz9BAHtq3HbrPh\nsNvvWzuk6BcueY2ApQ1Y8o+JqFQtz7TipcpgMWdkmRi6DhpBYIncG2Rm53qqhe0Xk1EUhZWnk/jf\nuivsUZUjrtpjHNCVx64Idv689I7iq1KpcfP0ws3TC7XW9U7MRY3O4EadFu2Yv/kQfUe9RvveA3n+\n3dnM+nk3/kEhiCKa7JXcP6QJQvKPEEKQFHeD4qXKuExPT03Gbreh09/ym+7QewCLZ76D1ZKB3s09\na/QlhMBsMmKxK8z/PZq1Z5MxeQTy7rJtOUQ79voV3hnWl/joay5HiVq9nkbtu9Ds0Z5oNFoO//oL\nW5YvxmLOyLHKrqjRGww8/87sHKYbAL/AEMbO/IpJz3S/45uC5N+PFGAJWp0erU6Hw+HIGqnmlwxj\nOpuWLKRy3cYu03/9eRn1WnVEk20U6u7phVqjpmSZagx4ZTIVa9UH4NTh/Sz64E2iIi9gMZu5nGrn\nw0U/5BoxB5YIY8JnS3i5R+tcAqwzGHjjkx+oUPPW217luo1o33sgE57qQlpyYoH6V1io1Rra9Oyf\nS3xvElGxKv5BIURHXrzPLZPcT+Q7zr+EwrDRaXU6PH386DZ4FKOnf8bg8e9TrlptdAa3ArXrj93b\n2L7yh1xpR3Zv46cvPqZtz6dyHN/60/f4Bxdn0oKVVKrdIMvtq3LdRkxeuJqgkuEUCy5O+Zp18zRX\nBJYIo0LNujmOqTUaWnfvl0N8AWxWK5dOHSeiUlUM7vc3JGVeqDUaAoJL3jHPTY8SyX8XOQJ+SFGp\n1RSPKMebXy7H3fNW7Iumnbrna6IsOxZzBoumv8n6776gVbe+JMfH8tvGn0lNSsAvMIgZYwdTtX4T\neg4bi7unN5fP/MXwyTNzmCVuondzo+fQF1kydxoRFavesd7QshU58ftvGNw9sNmsaDRabDYrKYnx\nePs5I9ZFnj3JjLFD8A8MpkG7R6nf+hH2bl7D+eN/YLXc2qJIZzCg1mixWSw5jhcWVquFs8cO0/aJ\np1ymO+z2O64alPw3kAL8kKLRaBn53pwc4nuTroNGsHPNMq5fPHfHMvRu7mh1ekqULofZZCLq8nmW\nzpmGWq3mqZfeolnnHujd3MgwprNj9VLeGdobEJhNJqo3bJ5nudUaNSfprbHcuHLpjvVfOX+asPKV\neWbc25QoXZ64qKtsWfYt4/t3Zty8xZw//gffTp9EhZr1aN29L3VatEet0dC+90BOHtrHtFEDcDgc\n+AUE0qnfEAJLhnHl3Gk2/vAVpvR0rIXoYaE4HOzdvIYnX3g9R2jOmxzYuv6+PAgkRYs0QTyk+AWF\nEFom7/i47XsNQOtihHoTncFA1XqNcdjtBIeWokWXnrTv9TRqjYaxM7+kbc/+6N2cpgyDuwePPPks\n/5s4HbvN6pxsu8Po2mwyoTO4cfqP34m5FukyT+z1K1w4cZRJX/9EpToN8fbzp0yVGgx9azrNOvfg\nrQGPsXnJAh579nkq123Eum8/58XHm3Px5DHAaRfuPuQFAkuE8tHq3TzSbzB1W3ag2+BRzF63j/LV\na6Mt5JgfDruNt57pxpVzp7Ids7N/yzo+nfRSge3xkn8fcgT8L0JRlHvmD+zmcWdbqLund56Ry4RK\nRWiZCkRducS0H3+hWEgJAA7t/IUzRw9SvVELl+fVb/MIy+Z/gDkjgy/feY305ERM6WkEh0XQ/X+j\nKVWhCgB7N62mTou2FAsJ5b3hT/LGpz8QVPLWllAx1yJ5b/iTdOgzKFc/4qOvs2P1UoZM/IDGHbpm\nHe866DkObF3PBy8M5O1v1hBQvCStu/dj5Rcf53L30ukNvDDtE0Z1anjHa/RPsdtsxF6/ysSnuxJQ\nIhTfgCCunjvtjCZ3H70fpA9w0SEF+CHl+qXzZJiMGG6L13CTP/fuzFMEdHoDCTHRvDxrQZb4Alw5\ndypPbwhwuplVrteYX9csRwhBl4HPoTe4cfS3HUx+tgcVazeg3+jxrPv2c16dvYjvZr1LSHhpxvfv\nTMVa9QkJL82NK5c4deQApavU5NyxI7nq2PD9V1Rv1JxSFargsNtzPEQatO3M2T8PsXnpQvqNGY+X\nrx92ux2b1YJWl3OVo7dfMSrUrMeJ3/fc6TL+YxSHM3zn9Yvn7mrykfz3kCaIfxn3arQihGDj91+5\nTLtx5RIHtq7P02fWZrXiWyyIMlVq5Diu1esxpaW6POcmyfFxtO7Wl7EzvqB287aUq16HPiPHMX3F\ndiLP/MXEAV3oN3o8Gq2WqEvneHnWAmav20fDdl3Q6g0Y3D1p2/Npmj7SjeuXzhF51rnTsSXDxNK5\n09iy/FvO/nmYaaMGMKZrU9Z+82kOV7XW3fvx28ZVAFw9fxpvP/9c4nsTLz//O/ZFIvmnSAH+F3Iv\nRNhsMrLqy9ksnTeN1CSnb6zDbufQzl94c+Dj2KyWPM9VqVT4BuSeOKrTvB377zB5ZEpP49i+X+nQ\n5xl+XjCPMV2bMrR1dZ5pWpFFH0x02p11BsLKVeT4gT3UbtEOjVaLRqvl1JEDbF3+LTqDAZVaxf4t\na8kwpvPzgvlYzBlMGzWAqMiLvL9kEx+t3sXHa/bw4owvOLJrK/PfHIMj82HiH1yctJQkAFZ9PZfW\n3fu5bKuiKJz5o+DL7g3uHnj7BxBRqTqePr65gsw/aEjzQ9EiY0H8S7lXtmCt3gCKgqevH6b0NFCU\nfE3++AYEM3fjgVyxkWe+NASfYoE889q7OdLsNhvzxo8iKSGO+KhrWC1mbDYrfgFBNOrwGHqDG2sW\nfUJ6ShKBJcJIT0mmfptODB7/PvMnjMaYlsLz787JYfO9cu4U74/oT43GLUlJjOflWQtytceSYeKt\nQd3oMexF6rd+hDNHD/H55Jeo2aQ121Z+z8j35uHt549aoya8fOWsjUR/37aB+RPHYDa5DoNpcPfA\nbrdhcPMgw5iGw+5A7+7OqPfnUaOxcwsk5wNtM5+8+eIDO6EmBfj+IPeE+w9SlAF63Dw8GT55JvXb\ndMpx3JiawtSRT2NKS+XRp4cSHFaK65cusGX5t8RGXUWtUlO2ak26DHyO4qXKEHv9CpuXLuTc8SMM\nGT+VD8c8i0qocCgK3v7FeHnWAqY+359Za/a49Bs+eWgvM14czKtzvsm1AOMmu9f9xO71PzFu7rfM\nGPMsR/fuJCQ8Ag9vHy6ePEaJiHIoDgfJCXG06f4k/sHF+XbGZCwZrt3Q3L28efaN92jQphMarY7Y\n61d4rU8HJn653KXv8onff2P66EEP3LJiKb73DxmOUnJPMaWnMX/iGEaq1dRp0T7rYZAUH4vFnEFY\n+Ur88uM3JMXFUKFWPfqOHMfnU16haefu9Bs9Pqscv8BgKtSsx5pFn7B03nQadujCqUP7efOr5bze\n9xF+mP0eLR/r7VJ8AcLKV8GUnkb5GnVdpgNUqtOQJXPe55sPJ/HXob2UqlgVu81KSGhpeg59kaDQ\nUgSVDOf6pfN8MeUVIs+ezFN8tTodkxaszOHCd/bPQ5SvUTfPhSNV6zfBP6g40ZEX7npd7xdSfB8M\npA34X0xR30Rmk5F540fz4uPNmT3uOSY/24MpQ56geZeejHp/Ho8Nfh6TMY24qGvERV0nw2Sk13Mv\nuyzr0aeHkRR7g7CyFXH38ubKudMMGjeFc38ezuGClh2b1cqsV4YhVKo7vuIbU1MwpaeRHBfDlG9+\nJurSeUzpqfy+YyOLZ77N5Gd7MOGpR7l+6RzPTfkItUaLRqvD3dMbD2+fHPEavP0DiblyOYd/cnTk\nJcpUrXnHa3X7smmJBOQI+F/PvfQN/jtkGNOw2axUqduYR5/uRunK1UlJimftN5+y4rOZWDIyOH/i\nDy6eOkbjDl3z9DhQqVTUb9OJS6dOkBATxYbvviThRhQIwZXzp12ec2DbeqyWDOq2aM+eDStp98TT\nLvPt+HkpdVq25/l3ZrN1+WLA6S+s1mixmDPo/NRQQsJLs+iDiaQlJyGEoHHHx2jQtjMqtZrft23g\ntw2rcDgc6PR6Vn41h+jIi5SpUoMBr0zG4O6RtcVSXiTG3ijAVS1civrBLbmFFOD/APdLhHV6PQgV\nles2QqVWc/LgXhRFwWwysmfDKg5sW4/NYsHN0wtjajJCdcsHV63WoMlDfLPyaNScP3GE7oNfoF2v\nAajUavZu/pmv3n2dXs+9nDUBF3v9Ctt++p49G1ZRLKQEoeUqsuKzj6hctzElS5fLUeapw/vZ+fOP\nqNUaXnmiDekpyQyZMJX6bR5BrdFy9s/DrPhsJsf372Lw+GnMemUor8//Loc9uXazNjzy5LO8M7Q3\nz77+HlUbNMVizmDbiu94Z2hvRr43l1Vfzeapl9506VedkhjPqcP7/8mll/xHkZNw/yHutQjr9AaC\nwyKo3rA5SQmxHPl1CzWbtmHYWx+id3PDmJ7K20N6EXM1EpVaxdMvT8oa5aalJLFl2bes+nI2FnMG\nBjd33Dy9mL1un8sQjIqiMLpLE5LjY3H39CIlKQGDmztNHulGUnwMSbExvDzra/ZsWMWqr2bT/NGe\nVKrbCFNaKns2rCTy7Cms5gyaPdqT2s3aYLPZOLB1Pft/WcuoqfPYu+lnjv62gw+WbcEvMCRH3Q67\nneljnsFsMlK+Zl2eHPW6y+ux/tvPWfHFLB5/diRdBz6HEIK1iz7l7LHDuHl4YEpPZ9T7c7M8KQAy\nTEamjujPhZPHsD0AsR3k6LdokF4QDwH3UoAN7h688vFCKtdtlHUsw2Tky3fGYUxN4ZWPF7J45hSu\nnj/DpVPHeWX2QspVq52rnK0rvuO7j97GZrXgFxjCI/0G06nf4Fz5fl2zjAVTJ+Dh5UPjjl3pOnAE\ndruVX5Z9y+alC/H08SMxJhpPHz+mLFqdYwUewPZVS1jx2Uc07dSNiyePoVKpKFejDmsWzufrXaf4\n9K2xBIdF8MTwsS77e+Gvo7w7rC9TvlmTaxR9k9SkREZ1bkhIWARNO/eg68DhmNLTeOHRRkxasIp3\nh/XFbrPSvvcAQsJKc+X8abauWIzVbM7lG31zx+hy1WpjtVq4+NdREAKrufBEWopv0SG9IB4C7pUp\nwuDuwZAJU3OIL4DBzZ3nJn/EuN7tObJ7Kzt/Xkav515CpVa7FF+AVo/3YcmcqWQY00mOj2XtN58S\nHXmRDn0GUSKiLDHXItmy7Fu2r/yekLDSPDpgGMf3/8rY7i0ZNO5teo94hbJVazLntedx9/RiyISp\nucQXoHW3vhzasYmQ8NI8+YJzBLtu8ec0aNMZtUbDtYtn6dQ/t/DfpEyVmthtNjy8vPPM4+7phdVi\nZuzMrxjfvxPtnngKNw9P/IOKM2VwTzKM6VgtZn5eMB+NVovVYsZus+UqR6c38OiAYTw28Lms2Msp\niQl89e5rHP1tR6G4q0nxfTCRXhD/MQpyo2m0OnQGN5ei3aDto5hNJq5dOMuNq5ezylVrNLTp0Y8N\n331J5boNiYu6RpU7xH9QazRUqOV88NtsVuw2KykJcbwztDdP1SvFhKe6cPzAbrz8ivHGpz/QrHN3\nhk/+iElfr+D7We9w8tBe6rbsQEh4acwZJmo2aZVnXc27PMGBresBp+13zYL5dBk4HHAGELJa8l7d\n53A40Oh0nDpyIM88p44cILRMeYJKhlGpdgMObt+Eoigkxd0gNSkha5Rrs1rIMKa7FF+1WkPZarUo\nFlwix8Sdt58/o6d9QkhYRJ71S/57SAF+CNEb3AgsGU6vES8z8JXJNGj3KFqdLkuIvf2L8d1HbzOy\nU31mvjSEKYN78uoTbdm+agmKohAcFoExNQUvHz+0Oh2m9DvHfzCmpgDOGMQtuvYiNuoqdpsVn4Ag\nbFYLles04u1vfsbL1y/rnNCyFekzchw/L/wEgKoNmuLm4ZVnhDYATx8/4qKuMW3U/9k76/gorreL\nf9ejxD0EEiC4uwd3dy+luLtLC7RIcS1uRYsUd7dACRYgWEhCQkLc13feP1IC291F2r6/GucfPhm5\nc2fYOXPvc89znp4snqYOLwAAIABJREFUHtufwbOXIrey5sjWH1BnZ7Nv7RJ0Wq3Zc29fPoNep+en\n1QvMplIb9Hp+3rCcum1zDNQ98uYnNSmB0BuX30vs70KusEIilWLv5MLj2zdYMKoP03q1yjVeF0sk\ntO4zFKsPONV9Kj6Pfv+++ByC+BfifaEIuZU1TXv0o/2A0bnH1GnThbioF0zr1YrMtBTSkhLRatR8\nt+MErl4+CIJAWMh1Ns+bTlzUC+wcHJFIZTy5e4v+MxawfPJQ2g8cY5IGDJCWnEj4g7tIZXKa9eyf\nqwNOSXjN/OG96TtlDmVr1jfb16oNW7BpzhSUWZkorKzJykgjJeE1Tm4eAGSmp5KVnoaDsytWNraE\nhQSjUWZTtWELBsxYwMY5UwgLCaZi3SZUCGrI3WsXGNKkEgO+XkiZ6nVyr5OZnsqar8fiF1gUB2dX\n5g/vTbeRU3LtMV9FPOfHRTMRBIF67XK8I2IjX+Di4c3KKcM/Ks1YbmVNhaCGfDnpu1wTfL1Ox/mf\ndzF7QGdmbNyPu48ffoHF4E8kzM/k+/fGZwL+l8ISCXv5+RuR7xt4+vkz4OuFLJswiIp1GvPVlLm5\n+3LqtVVlyppdjO/UEACNSoVtHgdSEuJwcfdkz8r5dBw8zqhdnVbDyqnDAQFBEGjQoWfuPic3Dwx6\nHU7uXhbvQW5ljcLaBlV2FrcunCJ/kRIc3LiCao1bc2DdUsLu3MAujyOZ6amUqV6Hu1fOYWPvwKk9\nWzm4aRUFS5Rh6dHruVl0nYdNJCwkmO9HfknXEVMoXKYi969d4NDmVWhUSsYu3oC1rT2Ht6xm/rBe\nyOQKxBIJWelpqFUq5u05hVQm5/XLCB7+cpX7wRfNhhnMwcM3H4NmLTX6SEmkUuq160ZyfCw/b1hB\n36lzSYmP+9MWUz+T798fn0MQ/yFYWdvQuGsfiy948YrVMAgG2llQCtg5OFG/fXcUCmv6Tp1LRkoy\nK6eOoHydxty+fIaZfTtw+eh+Ht26zomdGxnZqiaPQ26g1WgQBINJkUlPP3+em/H0fYM3sedfzh5H\nEAwUr1idCwd3M3doDyrUacTKE7dYcvgqiw9ewTt/QfR6PWMWbaBM9SAEg55+0+abpDAXKVeZXmO/\nYfviWUzs3IhTe7bg4uGNb0AgEqkMiVRKqy+HsOTwNcYs2cTIBWtZdiyYinUace/qBV6/jGD2gM7o\ntFp0Gs1Hlbm3srGlVZ8hZmcIkFN95PqpQ2g1ao7v2IDyTzDu+Uy+/wx8JuB/MX77EookEhzN1B97\ng6TXr5BIpBxYt5RV00Zy+qetOQ5p76B4xerYOjhSIagRYrEYjUrJ3tULiIuKIDYynM1zp7Jw9Ffs\nXPodSXGv0PxaV00ikfI6OtKorbptu3J8xwaLq/6HNq/Cyc2Dg5tXMmjmEs4f2IlEKmPc0s3UadMl\nt+SRvaMT7fqPpPuoqWz4bhJxURE07trHYry4aqMWGPR6ZAorytSoS8W6TbB3cmZYsypcPLQnp79S\nKT7+BfENCEQmV2Dv5MLR7euY2rMFVRq2RCT++FGqSCTCx7+Qxf2Oru7I5AqObPmB+9cv/uEQxGfy\n/efgMwH/CkEQyMjIQPORCyr/FLz7Muo0Gp4/uGP2uPCH95jVrxO+BQpTsERZiparzP3rlxjeohp3\nr5zLPS47MwOFlRViiSQ3FqvKzkKjUpKWlEBWRtqvU3ZjUjUYDBzevNpoW8kqtchXuBjfj/yS2Mi3\nRjWZaSls+X4G104cpHxQQ4Z8u4y1M8eTmZZCvsLFLLqeBbXqTGJsNK+jIy36R0CO+sPR1Z2JK3+k\nx+jptPhiIOOWbmbGhv3sXjmfm+eOm5zz/MFtSlcLYunRYLoOn0T+wPdXbP4tEmOjLe7LykgjOyON\nA+uX5X6wfi8+k+8/C//5GHB2djaLFy1k1fJlJKWkoNML1K1dgwlTphMUFPRXd+9PwZt48JspbpNu\nfQG4emw/EQ9uo9fr+eXSOb6aMpdK9d7aSwa17syTu7+wcNRXTFq1A7/Aolw+uo/yQY3QabUkxcd+\ndB/0Oi2XDv+Eu09emnTri1QmQyQS0XvCbOYO68mkrk3wzl8AmVzBi7BQJBIJ7j75CLl4mpO7NuPm\n40ul+k3JW6CwxWtIpFKKlK1M0utXxEaGW5SsaVRKMtNScP2NntgnoBD9ps1n++LZVAhqlBuqCX94\nl9cvI5nyw67cLLeA4qV5Fmo5fPIulFmZHNnyA+VrNzS7/8KBXYgl0j+s//1Mvv88/KcJODMzk3q1\nayJLjWZkaTsKOjuj1hm4FBVG+5bNadq6DcWKFSd//vy0bt0aKyvLVYL/KVAps5nQqSHZqYmU9LCj\ntIuY4FfZVKjT1Ih83yCwdAWa9RzA0R/XUK5WQx7evErvCbO4cebIR8U/34VGrWLf2iX8vHEFZarX\nwWAwcP/6RUpWrsmoBet4/TKCI1vXUKhkOSLC7tNxyDjsHZxYNnEwfafM4+a54x+Mj6YmxZOZnsqx\nH9dSv30PpDKZyTGXj+6nYMlyJjFpgBKVa6LMyiT6+WN8CxQmNPgSq6ePotfYr41SjOOjzVdrtoTw\nR/fZtWIeHQaMNgqN3Lt2gd2r5lu0v/xYfCbffyb+0wQ8feoUbNKjGVHJJXe0IxWLiEpVo1QpeXLu\nAJkhJ9ibLWLIwP7MX7CI3l9++f/ap5iYGFavWsnJo4fR6/VUq1GLwcOGU7iw5ZHfx+DNKFin0ZAZ\nH8Osen4UdM75oByOUNHegpMY5GSzDW5UnrtXLzB2yUbCH9xl7czxFqtFKKytyePsRrma9VBlZ3Hj\nzFEMBj1qpTL3nBtnjuLs4U3rPkOp174H0c8ec3DjSmJePKV5zwHYOTpRrmY9DAYDSXExSKQyIsMe\nEP7oHh0sSN7SU5KJCAulea+BHFi/jNkDOjN28UZsfs1uEwSBkIun2bHkWyau2m6272KxGBs7e5ZP\nGoIyMxMrW1u+nPSt0eg1LSnBqFinSCxGrlCgVqkQi8VIf3VZexcalZLj29dzbv92ajZrh5WNHTfP\nHiMu6sXnsMN/GP9ZAlapVGzauIHvarkZqQLWhbzmZZqGH1oUII/i7UglIlXFpDEjUCgUdO3W7ZOv\np9frOXbsGD/t2kFWRjrFS5fjq7598fX1zT3m8OHD9Ojamep5bWnhqUAqFhFyaR9Vt25h5rdzGDxk\nyB+6Z0EQsJaJ+aqcey75AmSrdWSkpBD55GFuGOBd2Dk4otfpKVahGssnDiEl4bVJjPcN5AorBn6z\nmIp1m+Q+1z6Tv2Pbwpmc278DROAbEEiVBi3QatSc2r2Fn1YtwCDkSNVWnbzFrYunkP062hSLxcgV\n1szq15Gm3fuSnprM3tULaT9w9G8kb1o2zplM1cataN1nKD7+BVk/eyJDmlSieMXqOLl78uTOTdKS\nEihXu4FJQdG37WiIf/USF08flMpsvt15HLs8jrn7M9NTmTu0Zy7pKaysKVqhKu36jySgWGky01I5\nt38H+9ctMflAqZXZqJXZHNm65mP/yz6Iz+T7z8Z/xownJCSEVcuX8ejBfezs7akRVI91yxaytJ5H\n7jGvMzWMPhHJmpYB2MhMV9DDEpUsD1Xx4mUMEjMr7Dqdjs2bN7N80QIePnmKXCajedOm9Oj9JeNG\njcCQmUxNTyl2cjGPUw1cikpn+oyvGTVmLM+ePaNS+bJMquJCoIu1UbuvMzVMvZTAjn0/U6dOHZPr\nfizS0tJwdXZie7tCKKRiNHoDOx+mcvhZOs4e3oglUjJSkqjbtitt+g7PJeKIsFC+/rKtRdJ9A7nC\nijZfDadVH9MPRXT4E6b2aMGI+T8YxWYFQeDU7i1sXzwLucKKNefvE/PiGbP7d2LpkWvodXoGNSzH\n6EUbKFahKqmJ8Xw3qBt2Do406NATF08fXj4L49TuzTi5ezJi/g/IFVYIgsCIFtURgPTkRMrWqEv9\nDj2xd3RizuDuLNh/wai+3BtcPLSHEzs30WvcN8wb2hOdVkPVRi3xLViYl0/DuH7yEAaDIbeUfZWG\nLRjw9UITad+z+7eZ2beDxQKlfxSfifefhf+sGY8gCAwbMog923+kQX4bGjvJSVfFsnv1XdLSMwAP\ndAaBGzEZ7HuYTA0/e7PkC1DE1RorMrh8+TK1a9c22qfVamndvCkvH4bQpoANk4oFoNQaOPf8Mu1b\nH6B9cRfal3srAasNtClkx/Q5s/Dy8eXa5Us0yG9rQr4AHnZyOgTaMu/bWX+IgNPT03HKY4dCKkZn\nEJh9LRFpvlJ8u/MbvPz8AYiNDGf74lksHPUVoxdtQCKVsnfNIjQfQSR6g5567U1nBxqVkuWThtLi\ni4EmC2MikYiGnXrx4OYVQi6eJuFVND7+Bcnj7MqxH9dj7+RM4TKVKFYhx2/C0dWdWdsOs2raSH76\nYSHWtna4ePrQeegESlatnRuaEIlElK1ZF4+8/pSsUpPpvVqRt2ARGnTsRblaDfh+RG8GzVqKi0dO\nIojBYOCXcyf4cdEsxi7dRPSzHBN4jVqV4ycslaHXmaYxdx0x2ayuumDJshSvVJ07l89+8Ll9Kj6T\n778H/3oCXrJoIaf372JhPU/s5G+JtaqvPb1/TudiRBrb7iXiYiNFIRHh6yB/T2vgZS8nLi7OZPvc\nOXNIeHybGdXdkP6qEVVIxXjYSsjvIKd9UWeTc9xsZfQr5cDM6VNQKpWMKmlq5v0GNfPlYfW+8xgM\nBouC/neh1+vZuXMnyxd9z8PHT7BSKGjatBlKjZakbC23YrPQOOdjzKJNRotCXvkCGDF/DbMHdOb0\nT1uJfv6Y+9cvfdSCm1yuwM7ByWibTqtl/ogvefXimcWKFQBNuvYhNPgye9cspGHHXqTEx3F8x3oc\nnN2o2864dLxMrqBgibLY5nGgz6TvLLapys5CLlfgGxDIiPlrWDJuAIe3/oC9oxMZKSmMblObwFLl\ncXBx5VFIMGKxhFEL1xFQtBTrZ0+kUecveHDzChGPH5pVKHjkzY+Ds6vF61dt2JKwkOA/tSLyZ/L9\nd+FfrQPW6XTMnzuH/qUdjMgXQCIW0bSgEytvxtG1pCvf1c9HaS9bXqVb1gELgkBshgYvL+P0WZ1O\nx4plS+hW1D6XfN/gSlQG9QMcLLZZ2sOGpIR4MjOzsJJaFvcrJCIEIYdYPwSdTkfbls35dtwwgqwT\nWNHQh5nVnFDfPYGg03HoaRrHozS06DvKbLKCRCqlxReD2LPyey4d2ffR8iitRk1GaorRthtnjqBW\nZiESicjj5GLxXGcPLwwGPddPHmbl1JG07jOUWduOgAj0OtN7LluzHjfPHrc4xVcpswm5eJoyNeoC\nULJKTXqMmY5ELKFKgxZ8vWk/C/dfIF+R4jy+cxPfgMIsOniZvAUKs3rGaOwdnWnXfxTTN+ynXrtu\nuf6978Kgf38asl6n/VMJ8zP5/vvwrybgu3fvohDpCXAyLx+TiKGSjz1B/jkEGZTfgYuR6WRqzJPc\no0QlapGcGjVqGG2PjIxEpNfib+Y6Sp0BByvLE42wRCVKlQqNKpv78eZVBQAPEpQE5MuLzIys6reY\nO2cOMaE3+aaGG1Xz2pNHIcHTTk7n4i6MquLB0cdJRCamU7hMRSDnxX5y9xbHtq/nxM5NxLx4RuHS\nFdCqVWg/YYVeJJZwes+W3L8NBgOHt/xAsx79sba1IzbqhcVzo54+QiyRoNNqiYt6QfWmbXFy86Dl\nF4NyLSbfhVe+AAqVKseW72dg+M3o3KDXs27meEpVCzLyDq7dsiONu33F6Z+28s1X7RnTtg6XDu9F\no1Zh5+DIyinDGNa8GmKxiFEL1yGWSBCJRHQZNtFszD/hVTQJrywnWFw8tMeiUuRT8Zl8/534VxOw\nUqnEVmGZsK5EZdCk0NsVbndbGUH5HZh9MZpUpfHoJjxZxeJfkpm3cLHZEICl18PbTs6TJPMjyMeJ\nSmZfjGFgeXeGVfJg/6NklFrTqb7eILD3aRZDR462eC9voNPpWL50MT2L2SOTmI6oK/jYU87LFpE4\nx2QmOvwJk7s1ZdW0Ebx+GcHLZ2HM6teRBaO/go8IdbwLrVrFzxuXc/X4z6QmxjOtZwteR0fiX7Qk\nQa07c+zHtWbPMxgMHNq8muY9B+TGZN84hlWo05iEmCiunzxkcl6/afO5ffEMk7o05sLB3YSFBHPu\nwE4md2/Gnctn+WryHJNz7PI4IBgE1p4PZcOVMFadCqFszfrEx0RRqmpt5v90mgFfLzKq7SaVyalY\nt6lJW4JgYMO3E80a8oRcPM3zh3c/7sG9B8Kv6pDP+HfiXx0DDgwMJCopg0yNaQgCIEurx8na+BH0\nLuvOtnsJDDoSThlPW/IoJERk6IlXi1i8dCWdOnUyaSd//vxIZAqeJ6so4Gw8Cm5Y0JFpZ6NoWdgZ\ne4VxHzbdiadPOXeq++VBEARuxmQx9VwUvcu4U8wtxyg9PEXFjrAMnAOK079//w/e8/Pnz5EIOvJb\nGPUD1C/gSFhqEsd+XMvVEwfpMGgstVt2zP2wfDH+G/as/J7wB3f5OK+vt9CoVKydOS7HfMfFHZFI\nxOKx/anRrB3XThxk35rFNO/ZP7cSRGZ6Kj8umkny61jO7d9Bn8nfsWTcAB7cvELpakFIZTJGLVrP\nvKE9efjLVYJad8bR1Z0Xj+5zdNtaPPLmo36Hnpzes4WXT8MIKF6aWi06cGrPFqxsbI36JggCp/ds\nRafTkvAqGjdvX9KTE7l55hjFK1UnIiyUBzeu4O7jR+1WnXDzfisRNFdsU6fV8igkmMndmtK230gK\nlChDRkoSp3/ayuUj+/5weaHPxPvvx79ehtahTSsk4cF0Le5ksm/i6UiaBzpR3c+0DE2GWs+xpyns\nfZhEXmdbAstV4+DRYxYXwObN/Y5dKxcwqYoLMonxMYuvveJpsorR1bxzwyEvUlRMO/eSja0L5saN\nBUHg+LNUDj9JIUOtRwBEUjljxk9g3PgJyOXvXyAECAsLo0HNqqxo4GnxmFuvMtkZmkhktpgGHXvR\ndfgkk2MEQWB2/048/OXaB6/5W8itrAksXZ5mPfrj4ZuP2MhwTuzcSNLrWFITc8qzF69UA71Ww6Nb\nwZQPasgX42dyes9W7l49T3pKElqNhnm7TyFT5EjhUhJec2bvj1w5to/UhHjk1tYUK1+VAiXKEhp8\niYiwUAZ/u4ySlWuy5puxxEY+Z/r6fUb9OrhxBRcO7SEp7hW1W3ak94RZ/LhoJtdOHgJBoEHHXji5\neRD5+AGXju6jfrvudBg0FoARLaqTHB+LWCLJMfKRK4wW16xsbDEY9IjFEjRqFYaPiNW/D5/J99+F\n/2xRzujoaKpWqkBlZwMtCzngaC1FbxC4HZvFsluJuNvKmFPHG4kZd6tlwbE4W0vpWNyV8RfiWbF5\nB40aNTJ7HZ1OR8d2bXj0y1VaBVhR0t2WbK2eiy+zOPI8gzbtO3LsyGFsxAbsrWQ8jUvB117GvPp5\nEQSBp8kqrkRloNQZ8LKTUcbTlvvx2aTlrcyeAwc/+n61Wi2+Xh5MreyIn4P5MvCrbsbhqJCw92kG\nCw9cMltjDeDu1fMsHT/QxBHtfVBY29C4y5d0GjLeaLsgCCwdP5AXj+4zYcU2wh/dQyyWULRcZRx+\ndWjTabUMa1YFN2/fnHI9AjTu1od2/UYCOXrkzfOn8zw0x1CofFBDHF3c8C9WiioNmiNXWBF8+gib\n5kxBo9FQpX4zygc1JD0liYsHd5ORlsqE5VvZtvAb7gdfol3/Uexbs4jKDZrz5YTZRguS6SnJzBnc\njZrN2mHv5MKG2RPIV7gYHQePI3+Rkjy5c5M9qxcQ8/zJB/XRn4rP5Pvvw79SB5yQkMD+/ftJSUkh\nICCAli1bolAYk46vry/Bv4QwecI4hu7bj5Otggylhnz587Fm40J+WLGMxb88ondJRxwUEiRiEVka\nPbtCE7kRk8mwyp5IxdDYT8GqZYstErBUKmXPvgPs2bOHZQu/Z9XJRyjkclq2bMXFrWMoUaIEOp2O\nW7dukZWVxdOnT/lm0lgy1Dq+v/qK2Awtdf0d8LST8SRJxZ4HSRR3t6FseVO/gvdBJpMxcPAQNq5f\nwpQaXiYflhcpKq5EpTOvQT5+epxukXwhx6/3twtcH7y+XEH7AaaxapFIhLd/Qdx9/fD088fzV93x\nu5DKZJSuXodbF06isLJm+PzVLJ84lFO7NqOwtkGtUpKdkY5Oq0Eqk/PgxhUKlSyHT0Ahzu3fyc2z\nR4mPjmL88q3cu3aBqycOkpwQh7WNLY279qFcrQZIZTICy1REq1ZzePMqJFKpCflCTo22QbOWMKN3\nWwStmuYBNmg0kSwZ8QWVGrSg16Q5lKxSi/nDvyD0xhWzGuFPxWfi/e/hH0nAOp2O0SOGs2nTRsr7\n5MFJJrAnS2BQv74sWrqM7j2M9abe3t5s3LKNpSsyePnyJXZ2dvj55dgVlilThratWtDv4BO0BgEr\naY7cK5+jgmaFnNh0J4GjT1NpV9SZC8+evbdfEomEzp0707lzZ7P7pVIpr169YurEcSTFvyYzK5vp\n514S6GrNtNp5c8mySSGIz3JlwqlIGnpYrhhhCZMmT+HEsaOMP/WArqVcKeFuQ7bGwLmINPY/SmZg\nRU+SVToQiUiOj8XZQlWK1y8jPkpz/C6qNGyORGr+ZyWVmXok/BY6rQa5XIGTmyfpycnM2Lif0W1q\nI5HJUWZlotPmyAQlEgnLjgZz7cTPPL0fgkgkpn77HlSo0zjXgOfq8Z8Zv2yLUfspCXGc2r2ZrIw0\nXDy8KVervkXfYN+AQFzd3WnrlkmdX5UyXYo58u21U+xcZE23sTP5YvxMxravl5s16Orlg16vIyXh\nNQa9/qMrZnwm3/8m/pEEPKh/X26dPsSKRr5Gfg0vUlSMGTYIuUJBx44dTc6zt7enWLFiuX8/ePCA\nurVrUsNLxrBm/rjbyojN1HL4cTLBMZnUzp+HDsVdWBocy47QRBz9P80D9rfYsH49k8aMZEAZB8qU\n9Wbn/UTOvkijX3kPxL/JpnK3lTGmujdrNm/k66+//iQilMvlXLh8lbKlS7L8RjhpKj0KiYhKPnbM\nCMqLjVzMN1cSqV27Fmf2bKHD4PFm2zm8ZfUnhR8AkwoU76Jo+aqsmDyMLsMmmb0fjVrFrQun6D1+\nFsnxsYSFBFO+dgMq12/GpcN7MRhy4qoSqRSDQY9MLieodWeCWpt+8NQqJXq9nuWThvD0/m3EYjFF\nylXi0S/Xqd60DW37jmDDd5PNOqK9CzdXN6xlb6VkNjIJ4yo7M+DATlp8NRIHFzfkCivK1apPl+GT\ncj2S46JesG7WBJ6FhnzQ6ewz+f538Y+ToT1//pyfdu9mbCVnI/IF8HeyYnh5ZyaMGfnBqbMgCHRo\n04ouhazpVdIZD7ucqsDe9nL6VfCkdRFnFl+PRSIWMaiiJ+Epaho1b2WxPYPBwIkTJ5g2bRrTp0/n\n/PnzRi9Weno6o0YMZ1p1V8p52SEWiUhX62kW6GRCvm9Q1NUagzqL27c/znf2XcjlcoJv3qJq7Xo4\n2dvSONAFfycrDoZnM/ZsHBOmz2TtmjVcOribS4f3GvVVr9Oxa/lcnt699cnXvflrqXZzKFSqPMrM\ndI7v2GB2/97VC8lboDA1m7czSu8tXLYSMsXbBUh7R2fyFizC7fek+V46/BOpifEULFmOCSu2MXrR\nelIS4vH2L0iHgWOQSKV4+vkT/vCexTYMej0Rz8LwtDOWMuZRSCnrk4db509wYudGCpetxMCZi3PJ\nF3LCNxNWbMXVy/e3zRrhrybf7Oxs0tLS/vJ+/FfxjxsBb9m8idr57Cz6NRRzs0b8IIFr165RvXp1\ni+1cuHABVVoydSzEWJsWcuJAWDLhySoCnK2o5pfH4ij07t27tGvVArEmi7IuYgQBtqxeip2zO/sO\nHqZQoUJs376dUp62OFtLOfIkhYuR6cRmaHC1keJmK6OKr2kWnUgkwsVWQWpq6kc+HWPY2dlx6Ohx\nQkND2bVzB2kpqbQpUoS93bvj5JSjCjl75jQdO3fh6OaVlKwWRFZmJjfOHEGn1b53cUlhbYO1rR1u\n3nmJj4lClZ2FWplNelIC104cpFpj04/V+QM7MQgCu1fM43nobZp0+wp3Hz9evXjGse3reRXxjCk/\n7ALgl3Mnck19UhPjc7PhFNY2dBg0FmsbW3Ys+ZYCJcoQERbK7Utn0Gk1+BUqhmc+f64c3c/0jfvJ\nX/jtrCU9OYnuo6bm/l2reTtGt61Du/6jcvXH7+LayYO4yCG/o+mo3lkukJWRxuk9Wxm5YI1ZPwip\nTE67fiNZO3Oc2XTkv5L09u/fz7xvZxJy9z4SsRhPd1eGjBjF0KHDPirZ5zP+HPzjCPhV9Es8rS2n\n7IpEIjwt+DW8i2vXrlHWTWqxQKVELKK8lx1hSUoCnK1wtpKi1ZoutERFRdGgbhA9ithQy++ttWU3\nQeB4eDpBNatzN/Qhj0JD8ZTrGXk8An9HBZ1KuOBqIyMiVc3BsGROPEtlci1frKRvSV6rF4hMyiR/\n/vwffjDvQYkSJSgxa7bZfSVLluRh6H0uXrxIcHAwUqmUc/vNe+W+gY1dHobNXUnJKrUQiUQIgsC9\naxdYNmEw2ZnprPl6DNHPH9Ow0xc4urqT9DqW49vXc2r3ZsQSCY26fMnZvdt4dOs6Oq0GZ3cvarfs\nyICvc8x1rp88RHpqEmVr5PgBn96zJTf2a9DrKVujLo6u7jy+c5PRrWvh4ulN7ZYdsbK25e61C2xf\nPItSVWsZkS9AauJrPPK+fZYOLm607jOEbwd2YeA3iyhYoiyQo8a4euJnfpw7mWnVzdfQC88QqO3m\nSUpCHP5FzVtbAhQsWQ6RSITcyuoPm67/Wfh6+jTWr1xC1yJ2jG1bAIkoJyPzxyXfceLIYQ4fP/mZ\nhP9H+McRsE9eP+7csDxyEASB2HS1iV/DbyEWi/nQ+r7WIHAjOpPodA13E7U0ypvX5JiF8+dR01tO\n7XzGWmKRSERzxU3VAAAgAElEQVSTAg48T0tm9aqV2OWx51xEGi0LO9OqyFtjHj8HBdXz2rM0OJZ1\nIa8ZUultvy9EpFGseHEKFChAaGgoyxYv4sb1q0ilUho3b8mAgYPw8fH5wF28RUpKCqdPnyY+Pp6y\nZctSrVq13L7Wrl071+Ft1KhRFj9MMoUVE1f9SIHiZYzutXS1ICas3Masvh3RqFUc2bqGQ5tX/9qO\nAIiwsrFl7u6TOLl5Ur9dD6b2bEahUhVo9eVg/AoVJel1LOf2b+fq8Z8Zt2wLiERsmjOZrIy0dx9s\nrrn7nSvnaNdvJE2690UkEpGZloJKlU3y61jCbt9kzuAetOk7jMDSFRCJRDi6ehAX9cJotNu85wDs\nHJxYNnEIcoUVVtY2xEaFg8FA/5IOZt3pnieriEzO5ti2tSASkZ2Zjq29eb+PjNRknNw8kFtZExEW\nCvy1I9+bN2+ycuki5gd54vhOElJRNxumuFgz+9p9li5ZzOgxY/+yPv6X8I+LAffo2YuLkZlka80L\n3UPjs0FuQ5UqVd7bTt26dbkRq0ZvMP8yaPUGrkdn4GYrw8tOhq+NiJHDhrBi+XKj47Zt20ojf1Nf\n2eh0NZvvxJOQlsm872bzOj4BsUhEy8KmCSESsYg+5Ty4GpVBulqH3iBw7kUa28IyWbRsJfPnzaV2\ntSpk3DxCV28lbVzTubN/PSWLFuHYsWPvvU8AtVpN3y+/wMfTgxmDe7Fh9ngaBNXE1cGOFStWfPD8\nd+EbUMiIfN9FwRJl8cpfAKk8p+hl8YrVcPXyQSSWIJXJ6DXua5zcchJE3Lx9WHjgEnkLBLJk/ED6\nBpVkSvdmhIXcoHnP/ty7ep5hzapw6fBe1Mq3oRCRSETwqSNcO/EzXvkCaNqjHyKRiIiwUMZ1qM+L\nR/fpMGgM45dvoWSVGqycOoJNc6ciCAK1WrTn1O7NJv0OatWJRT9fwjegUG5laK1Wy7qQeELjs3MJ\nUxAE7r/OYtq5KFRaPeGP7iGVybnw826Lz+vS4Z+oVL8ZXYdPxsrG9i+PtS5btJCm/rZG5PsGErGI\njoXtWL5k0V/ez/8K/pGJGAP6fkXwiQOMquBkZHTzPFnFnOBEVqzdSPv27T/YTqVyZSghek3rwo4m\n+7bcied5ioqv67ytrhuboeGbq4l8v2wVXbp2RRAExGIx+zoVzpWQCYLApjsJnHuRRr0ABwKcrEhW\natn9IIkWgU50Lmm5LPyUM1FoxHJSVXry5s/PyjXrSUhI4KseXZhV0w1XG+NpYViikjnBSYTcvW8x\nTGEwGGjcoB4pYb8wtNLbUY9WL3D8WQrb7iUyauw4Zn9rautobhTcqMuX9Br7tfE19HpuXz7DpX3b\niHx0D6mVNV3GzKRM9TqIJRKeh95h2het2HT1iUm1jTeIevqIhaO+okazdsRHR4IIgk8dMet2Zmvv\ngF9gURp3+ZKKdZugUmYzunUteoyZQZUGzY2Ozc7MYM6gblRv2oZaLTowtUcLKtdvRpu+w3PlagaD\ngXP7d7BvzSK+2XIIZ3dPQi6eZsm4AUgMWvIoJHjYyYjL1JKp1qPSG78zVja2TF27B/+iJY223758\nlh9mjObb7UdxcvOkV5UCZGZkmGjVf4unT5+yZ88eUpKTKRQYSKdOnXBwsOyo9ykoUiA/gwJFFlPV\nBUGg+88RRMXE5q4TfMYfx78qEWP5qtWMHWXN4PXrKe+TBwe5QGSmQHS6hsXLVn0U+QL8dOAgtatX\n5UVGMo3yWeFhKyMmQ8O+h8kkZmuZVde4tLmXvZxBZRyYNnkinbt0QSQS4eXuSnS6hnyOOS/V/rBk\nHsRns7J5gJH/REK2Drn0/ROOPHY2VG7dk969e1OiRAkAalerQtfCdibkCzkG8UF5bVm5fBnzvl9g\nts0TJ07wKOQGSxrlNVrkk0lEtCjsTLpaz9KF39P7yz4ULFjwg88sKTbG6O/sjHS+H9wFbcJLmuZT\n0Lq0LTEZGvZ+O5Jj3gUYvfxH8hYqklMrTWY5lVqusEIA2g8Y9fZ5OLlwYtcm9L+JvSuzMol6+ggH\nl5wF1KvHDhDwazbcb2FjZ0+v8d+wdMJgGnToyfB5q/i6TztO7NpIhaBGSGVy7l+/iG0eRyat3pkb\nnihfuwFD56xg5ZThJGRnk5BtWc+rys5iRu82VKzXhHK16qPX6gg+fZjwh/cYtWAdzu5eOR8SQTBx\nVYuLi2PjhvU8uHcXaxsbnj59xt07IdTMa4ejDIJ/FjF21Ei+mzePQYMGW+zDx0IqlaIxWL4XgwA6\nvQGpBS33Z/y5+MeFICDnR7Ro6TLCI6PoPn42NXuPY8qCVcTExdOte/ePakMQBKKioujWqzdWBcqy\n9rGOcRcTWX4nHZlExLyG+cxO00q426DOTOPOnZx02D59+3EkPEcrq9UbOPAomRFVvUzMfwKdrbkT\na9mYW6s38ChBSf/+/XPJV6VSce3mL1TNaxrieIPqPlYcOmDseSAIAps3b6Zx48b06tGd4q5yLE10\nmgU6odXpWbZksdln9FvcvXqezPS3qow1U4bgp4nl+zru1C/gSHF3GxoWcGRBHQ88sqJYN304coUV\n3vkLvNdX4t61CyYjyAp1GpvVFRsMenQaDS8e5UjI7lw5S1Uzqos3KFC8DCKRiGPb1zF3aE/8ChWh\nXK36xEaG8/jODTLTUuk4eCw+/sYfoPK1G5r1ATYHg8FAWlICN84c4/blM5Sr1YCFP18isHR5AI5t\nX4enuyuebq7Y2VhTqWwpenTvRuGCAVzcuhTniEvobh/lyd2buMgMtCvsQPviLoyp6MzcOp7MnjqJ\nbVu3flRf3ocmzVty9ZXlxcCbrzIpWawo9vb2f/han/Fh/CMJ+A1cXV3p06cPo0ePpl27dh9lVgPw\n7NkzSpcoSre2LQg78AO2L0MwqLNxd3OjVOmy7y1LJBKJkOpUdGrXlu3btzNs+AjCsmT89CiFe6+z\n8bST4ZvHdIpZNa8dUWlq7r82T8JHnqVTqnRpAgMDc7dptVqkErGJPO1dWMvExETHUK5kMWbN/IZj\nx47h4mDHoL5fwrPrBHmIiElX0/fgM4KjM0zOd7SSYiMTE3z1ipnWzZPwwlFfoVYqiYt6QVjIdfqW\nMdUyS8Qi+pdx4t61iyS8iqZ+h57sXjEPnRklSWZ6Kkd/XEuDDj2Ntr8vi0ytUnJo8yo0ahU6rRaF\n1fuJUjAY2Ld2CTZ29sRHR2Hv4ESxClWxsrHFytaWZRMHk5Lw2ugcsVhsQsqWoNdpeXb/Nm37DmfY\nnJXUbds110HtwsHdHFg1n9puBubUcmVt07z4qqI5um83C+p5M7CsM/UDHGlT1IVVzfwp723HNxde\n5q5PeNvLGVbOkSkTx39yavhvMWjIUM5HZfHUjEVqulrH9rBMxk6a8oeu8Rkfj7/tPOP169esWrmS\nbZs3kJqWjp+vD/2HDKdnz55YW5uuTH8sEhISCKpZnRZ5JTQu5ZEb5+whCJx+kc7WG8HIfW2pnd/8\n+Vq9QIpKRxcXJdNHDeFKmw5cvHKNdq2as/tKKEXMrJoDyCRiRlb15rtLMXQq4Uq9gByLzIQsLYef\np3MjES5f22Z0jp2dHR5urjxJUlHY1Xy7d+OyKOgkp71HFue3LmX2N8lU9rFnSOWCyN9xZXucqOTb\nS9FYy8SU8nhr06jWGcjWGrC1tTXXvOn9a9Q8f3CHQY3K41+kJJW8bYyu8y6spGIq+thz9+o56rbp\nypGta/i6T1u6jZxK4TIVEQwGbl8+y67lc6hUtynFK1YzOv/ykb2osy0bmmekpvDdoG74FSrKw5tX\nKF+7gdnjUhJek5oYj5O7J+VqNchNxADoxHhuXzrD8klDOLB+Gb0nzDI6Nzn+/XLGd6FWZjO9Vyvq\nte9O9SZtkMpkXD95iCMbl/Ndfb/cStSCIHArNosRVbxwtzUOLYlEIrqWdOV2XBa3YjOp5JMzEi3i\nao1El0FwcDBVq1b96D79Fv7+/mzcso3ePbtTx8+Wat5WKKRibsdlc/RFNl/2G0iHDh1+d/uf8Wn4\nWxLwgwcPqBdUi3KuUgYVscHF2p2I1EzWz5nC2lUrOHPh0u9elFi+bCklHaBJQePzRSIRDQIciEjX\ncS48la4lnMx6CF+KTCdvHgWNCzlRK7+eiXt306RZC85evIKnuysRqWp0BsHsqLW0py1FPey4rXNj\nx+GnyKQSEIno0b0HN6ZMNZGUiUQiBg0dwZ6V85jobGVirJOp0XPwcQpDK3tRwt0Gg0HgYVwGw6uY\nmvAUdrWmX3kPdtxPNCLgC5HpONrIad/FtJjmGwiCYLQgp1Wr0arVPLp1jYKBpguY78JWmnO8WqUk\nJeE18TFRzB3SA4Neh8EgYGNnR5dhk6jdythn+Vnoba6eOJibfmwOWrWK56G3eR56B4lUSuOufXDz\nNpUK/rR6ASKxGHefvHQaMt5kcbFszXq07TeSY9vXGRHwi0f3TUbFH4JapeTErk2c3b8DBIHChQpS\np4BLLvkCRKdrUOkMlPIwP2oXiUTUD3DgSlRGLgGLRCLc7RQkJSV9Un+0Wi2JiYnY2NjkvjOtWrXi\nl9t3WbFsKesPH0Sr1VGhYnX2LhudK038jP8N/nYhCL1eT8umjelc0IoBZZ0p6GyFk7WUsl62TK7i\ngof6NYP6ffW729+ycQMN81uerjb2t0MikTD7WiKxGW/rw+kNApci09l4J55eZXKUDDYyCa0LWLP4\n+7nY29vTs0dP5FIx51+kmW37daaGx8laTp49T0paOuGRL0lKSWP5qtUW9bzDhg/HNm9h5gYnEp6S\nE7szCAJ3YrOYciaKSj52FHfLGR2fi0inSSFHs9aaAFV87YlIVbPgagyRqWoeJyrZcicBjUhO94+M\nnb8LQRAIeU9cWxAE7idp8Mibn+9H9AZBAEFArcxGq9Gg12lRZWezd80iLvy8i4RXL3n5LIwfF81k\nVr9OH1UOSafVotNq0KhVTOnenODTR3LDHK9fRrBy6giuHDuAVCalfvueFvXNQa07kZGSlCt5S4p7\nxYJRfT65rLzC2gapVAaCQP++fbGSiqjkaRySytYacFBYTgKCnNBQ1jvVUQyCQFRqNr6+709tfoPU\n1FTGjRuPp7c3JUqVxsvbh1pBdThx4gQAAQEBLFi0mIdPw3kaEcWOPXs/k+9fgL/dCPj48eMo9Erq\n+pvKtUQiEd2KOzDwyBFev36Nh4eHmRbej8TkFDzsLP+IPexkKDVauvSfwKSFC3AUa/CwkxGerMZe\nIWFKLV8KvRNmKO9ty4aTIQDM/X4B58+fY13IC3QGgboBDsglYgRB4EGCkqW/JDJr9re4uuZU0v2Q\nHOnNMcdPn+X7+fOYv2wpamU8mdlKvOzltCzsRF1/h9wXOU2tw8PO8oKdRCzC006GQiJiwulItHoB\nG1sbTp0998FFl9+Ogt8gIUtLyKtMynmbXvdGTCap2VqWThiEIBjMkplWoyYp7hWbv58OBgGRWIxW\nqzFRPnwIgsFARmoyP8wYjV6nRaawQqtWYzAY0Ou0SKX2uPuYjo7fwNbeAZncisNbVvPy+WNuXzyN\nXqf7qGrQkJN2bOfgSJu+IyhZuQZqlZLgkwe59+gp+f2tqODz9vnkmD5pUGoNWMvMj4GeJ6vweseD\n4kZMJq4eXpQuXfqDfUlJSaF6zVp4FizO5HX78PLzR6fVcOPsMXr27sOMaVMYOGDAR93XZ/z/4m9H\nwKdPnqCCq+WBuZ1cQgkvBy5fvky7du0+uX1Pdzdi0jUWY6rR6Ro83VzpP3AQd26HsP/ngzQp5ETH\nYq4EOJuuyGv1AtJfpUV58uThl9t3mTRpEpvX/cDGOwl42snI0oFNHicWrlhD126Wp/phYWEEBwcj\nkUgICgrKHe0oFAomT5nKhImTOHHiBJ3btGBx4/wmhOhiLSU6XUMlC8lxWr2BxGwdk2r60rqoCxPP\nvuLw0eOUL1/+Yx6dWRJW6wXmXI6hd1l36vg7YCUVo9QaOBOeyua7CWj0H6czf1+s91PwxnNBqzGu\nbi0IAq8in5O/SAmz56WnJKFRqziwftl7vX1lYhECAiLe/qs1CLh6+TBr62Fs7N9mROYLLEb5Oo35\ntl9HGhTQ4vZrvNfJWkpxdxtOPEuhdVHTStGZGj2nnqcys64fgiBwOy6LH+6msWf/lveOmt9g/ISJ\n5C1eji8mvE0/l8rkVGvUigLFyzCxZwuaN2tGXjOZnZ/xv8XfjoAFg4H3LPoDIBbxu1eDv+o/kGMb\nFlok4GMvsujWszc1qlSiuHU25b1sMQiCWfIFuBqdRf369XP/trW1ZcmSJSxZsoRnz54RHR2Nk5MT\npUqVsvjyRERE8EX3rjy4f4/SXvZoBRg8II2GDRuydsMmHB1z4qwSiQQ/Pz80BojL1OJlb6z6qBfg\nyKJrr2gR6GRSFgngYmQ6AU6KXCJoGejIpvXrTKo8fyrUeoFNd+JZHxKPrVxMlibn//Bjyfd/AWVW\nJgc3rqRKgxZmTZVO7tqESCxG956wh1wiolVhJ5oFOuNkLSUpO8e69GiUht4TZxuR7xsUKF6Gqk3a\nsOv+CYZUeDur61najclnopCIRTQq6Ji7kBmVpmb+lRjEIhH7HiXxMEGJzN6ZnT/to27duh+8z4yM\nDHbt2sV3u0/lbsvOzCDq6SNEIhH5AotRrUlrflizhlkzZ36wvb8SBoOBO3fukJ6eTkBAQK6H978J\nfzsCrl6rNt8e3EVbC/tVOgP3X6VRuXLl39V+/wEDWLt6JbseptC2sGNu5WCdQeDg0zQeZ8korlbj\nJ83ii1IuhMZbsejaK8p72eUS1xu8ztTw8/NMDi4fZ/ZaBQsW/GByQ1xcHDWqVqaBl5ihjX1z+5Nd\nyp5tD65RP6gWl6/fwMoq5wPg7e2NSCRix/0ERlb1NrZtdLHCN4+cWRejGVPNJ7cIqCAI3HqVxaY7\nCUyt/Tb8UtXXhjknPpzK/C4shSJUuhyyTVX9sVpo/5+Ii3rBDzNG03vi7FyJmMFg4OLhnzi8efV7\nY84KiYjBlTypnf/t4q2LjYxWRV04FhlD8YqWnfdqNG3LwtOH8Q5LpbafLbZyCa8ztbhYSzkQlszu\nB0kEOFmRodGTrNThay/D31FBcXcbwjNFbNuzl+rVq+cYE50+zYnjx9BptVSuWo127doZhbKePn2K\nu7cPTm6eqLKz2LnoG64c24+3ow0I8CpNSZHyVbieGGOxv38HbNywgZkzpqJXZeNkIycyKZOKFSuw\nePkqI0/vfzr+dgTcunVrhg0exC8xmUZxszfY9ziNmjVr/u6voaOjIxevXqd75470P36H8t52iIBb\nsVkULVaci1d2U6FsGaZVyRl1lnC3oVVhZ8aeiqRFoBOVfe0wCHDtZQYno1R8Pfu7D/pOvA/fz5tL\nOWeBNkWM1QQ2Mgl9SzvxzbVYduzYQe/evQkJCaHfl72QiUU8TlLx/dVXdCrhip+DAp1B4EZMBs+S\nlHjbK+h36DlFXK1xt5XyKEGF1iAwoYaPkbmMTCxCr//0mYQlEv67Q6NSEnz6CMGnj1CySk2sbey4\nd/0i2RnpSKQSrGxsUSuzzWqfHawk1MpnOsI1CCCTSt5rmC+VyfHxyYtQrBRD9+1Drdbg76igaSEn\n6vg7kJitJSZdg0IqprCrNetuvcbLXk4lH3s2h6ZRpEgRnj17RosmjdBlplLFQ4JMBAsP72bksCHs\n+mkfQUFBQI4PtEqpRKNSMrdfe7w0cSxr4I3Lr5mUCVlaNty9TWiWCI1G89Ha+f8l5nz7LasWzWNQ\nGQeKuOZIRdU6R06HP6FW9apcuHyV4sX/WHGEvwv+ll4Q165do3mTRjTMZ0P9/Ha42EiJTFVzODyL\nCI01l6/f+F0LcL/Fo0ePuHjxIoIgULNmTYoXL05WVhYuTo7sbm88cn2WrOLIkxQeJWRjEECFhPOX\nr1GmjHljmo+BIAi4ODrwXS03k3DCG9yMyeRUpgtrN20lqGZ1ehS1wy+PnBnnX1LG05bQ+Jz+qPUG\nrKRiPO3kzG2QjzSVjtEnI6joZUdVP3tKutuYkObRpym89izP/kNHPrnv/0QCNge5woq8hYpQt01X\n5FZW/HL+JCEXTpksGDYPdKJvedPfnEEQ6Hc8huHLdxFQzLwt5b4fFuIiUrF61UqeP39OyaKBbGlT\n0Kx+WqsX+OrgM2bX8+NsZBZWxWuzfPUaShYrQvO8YhoH5DF69nfjslh0K4WLV65RokQJ9Ho9+fL7\nU7ZuU16d/4mp1VxNkmT0BoFpF+MY/s33fPXV71cU/X8gJiaGYoULsbj+24/Guzj2LJXHVgGcvWg+\ncejvCkteEH87GRpA1apVCf4lBIdKzRl1Npa2u54w/3YWNboM4kbInT+FfAGKFi1K//79GTBgQO4X\n1coqx5MgU2M8lS7obMXwKl6sblGAkVW98PH2/kPkC6BUKslSKi2SL4Cfg5yYmFeMHTmMDoVsqOvv\nQEEXaybV8uVpsgoHhYTKPnaU97JDpRfhaJ3zo3WwktK5hCvPUlQUcbU2Icx0tZ5D4UqGj/59toN/\npluW3MoaueL3J9f87usqrOgzZQ4ztxyiTpsuVG/ShuFzVzH7xyNY2xmrQjQWZgpikYgm+W3YuXiW\n2cy9pLhXHN+xgYS4Vxw6dIj8+fPj5urK+pB4k2coCAJb78aTz0HB4ccp3EqV8v3ipaxft5ZCdgJN\nCjiY/D+W9rSlVQFb5sz6BshZJxg1cgQXf9pMu0K2ZqutSMQi2gbas3LJok96Xv8LrF+3jpp+9mbJ\nF6C+fx7u3rlLeHj4/7hn/z/4WxIw5MRPV69dR1pGFjqdjui4eKbPmPH/7tAkkUho2bwZZyNM03bf\n4Fy0mi49ev2u9vV6PYcPH6Zj29a0aNQACQK3YjJRavWcfZHGztBEjjxJIVmZ8zLHZ2nJk8ee69eD\nqef/Nv5YzM2GVc0D+KKsBz555KgNAo2bNOFhshblr/rRnCrLcqacieJ2bBYGQUBnELgSlc6US/H0\n+LJf7tT1r4BMrqBw2Up0HzWVbqOmUKhUeWQfIc37QxCJUFjboLC2oXSNOtRsZqqk8S1QmB6jpxv5\nQFyJykBnwbq0SQEHXjy6x/yhPQgLCUYQBDRqFZcO72Vq96aUcRbhHHWNCQN7U7RQARo2a8n5iDTG\nnIzkclQ64ck5larHnIzkVHgajxKzSczjT/Ct23h6erJt0wbq5bX8XOr552HfgZ/R/foBGDFiBFkq\nNYEuluvzBbpY8+xFxEc+tP8dwkLvUTCPeRsAyMkoDXCz4+nTp//DXv3/4W8XAzaHT63M+0cxaep0\n6gfVItBZQZHfqCUuRqZzO0HDlv6frqNMSkqicf26ZMZHU9dHThEbKT7FnFl47RU6QaCkuw35nax4\nlqzix3sJBPk7kGGQUq9Ja07v34niN25qYpGIsl62lPWyxcs+g1uZ6TRs0IAtodfp96s/w8iqXpwO\nT2PznXii0tQIQKVyZVmwavLvkvG9iz8SC5YrrBi1cB2lqtbO3dagQ09uXz7LkrH9P1g9+fdAKpPj\n7uNHv+nz+XHRLBq072nx2GqNWrJ+9sTcv3UGgW13E+hVxs3ongVBYPfjdKpVqkCzVm1YNncSkREv\n0Ov1FPZ0ZHgpG8p55axltCgMR56ksGXTeir52FHI2ZrTz9NIUemwlYlJVelwtZHh5BvA2QsXsftV\n052UnIKrv+VU8Te1EZVKJfb29ojFYuxtbUlT6XGzNf/upKv12NmYn3UkJiaSnp6Op6cnNjYfZ0b0\nZ8HewZG05+9fyE1T6v41ZkH/CAL+X6Ns2bJs27mbbp07UdzdmtJO4pzqGAkGErViTp09j7v7+6vp\nmkPbls3Jq42jV623L3G6So+tXMK0IF8jE59MjTvfXYohJlvNgp492bV1IwZBsFjAMzFbh2tBd1b8\nsJb6QbWYcfUVjf0U5HWQ42ojxdslD+RRcPrcBQICAn7fgzGD30PCUpmchp17G5HvG5StUZe6bbty\nes9WdO/R4/4e2Njb883mn7Gxz4MqO5M8TqYa3DeQW1kjlclyNcFqvcDRpyk8SVLStqgLnvYyXmVo\nOBGlRm3twtndP+Hq6srw4cMJql6VUroI6hcwTdNuFujErVeZpKr0/PQwicq+dkyp7YtULCJFqWPg\n0QjOHTycS74A+fP5EZH6ymKoKjZDg5VCYeTn0a5dO87dOU7HouZnjGejsmjfwbhy+KlTp5g1fSoh\nd+6Qx8aKtCwVJUuWpHmr1nTv3p18+fJZfrh/Ejp26Uq/w/tpXdj87yo8RUWWXkSlSpX+3/vyv8Df\nNgTxV6NJkyZERsfQbfTXpBeqjbZ4AybOX0545EtKlbJcA8wSbt68ybOwh/Qo4ZT7w9IbBH68n8DY\n6t4mDmp2cgmTa/lgEAScnZ3x9PaxmPYrCALnXmnp/sWXODg4cPn6DUbNWshlrRfz76o4mupEl5HT\nuRv68E8l33ev/ykQiUXUa2c5IaV+h56I/2Q/WplCQf12PZD+uurv6RfAs1DL1abjol5g0BuPxNT6\nnIzGk5kuzL+r4ky2OwOn/l975xkeRbmG4Xt2k93NpmwK6YVAQg+9ShGkK1XKEUFALIAioiIHCzZE\nEQXpzQJ6wIKKSlcQFGmhNyG0AOm9bZLtu3N+RAIxuxg02SQ693XlR7Iz870zmXn2m+9t8zh8/GRp\ndmN+fj5HT5zg7sjyERM36N+gRJhXD4ois9jMmpOZQEmCRtd6vmzatKnM9pOemsb2BAM2B9d5a3wh\njzz6aJk3xen/ncn2q8Wcyyyf4HIqvZjdCcVMe2462dnZzHr5Jfw0nvTt25djx45yd5gbr3f2Y3n/\ncIKLrvLO7Ndo3qQRI4cNpaioyOF5VQY9e/bELySC9b/ll7uvCgwWlp/M58WXZ/1j6hXXyCiIfyIv\nvfgC8VvXMKb5zVnXmfRiPj2dxYJ+kQ73+/h0Lu0emEKr1q15fNxoXunsT7jmplhbbSKf/pZHmjKE\nQ0ePO604PbAAACAASURBVH255gZ3MguWyeR8vC8OpYOqdsWFBUzu1fq2GWl3glIuYBVBrVJitol0\n7Hkvjdp3Zdv6D5izbisKVXk7Vr76DAd/2FTOsfZnz0tiYiLtW8bw4b2Oe/VdytGz6lgG7/eLpMhk\nZeLmeJYPqI+PmwvfxuXgc/coFi5eUrq9yWSiV/duqHKv83CMpjS+22ixsflyAXszBY6dPF3urWzb\ntm2MHDaUpnWUdIvwQgQOJGr5LVNPUHAIG7/fxLAhg2jsbmZAfQ/CNQqyis38eCWf3dcKeK17OPV9\nVXxzLoe4bB0+HmpM/tHs+XV/ld5nmZmZ3Ne3N9rMFLqHuKJRyrmqtfLL9UImT5nCW3Pn1boonH9U\nR4zaSHFREe5/uNr5RiuB7rfvPhuggrTUZF559VXmLljMM09PpUWgOzKrgYR8E/kmG17ePny2YUm1\niS/c2VKEQqXiWtwZGrexn0xz7fxZXBWKShFghVxgVEwd+kZ746GQk2+w8EP8Qb7Yt5v6Ldsz/9lH\nmfDCHILrlrwZFObnsfGDhRz+afsdiy9AQEAABrOVHJ3ZoSc/PtdA0O91HjwUctqHenAouZD7GviQ\nbRRoFFS2oaxCoWDHrt089cQknvj2O2KCNbjK4WyqlvYdOnBwyzq7S2Lbt2ymRYgXMT4uHE8tQhAE\n2oV4MP2uEDZd1tK/V3f6Rboz8pZ06EAPBeNaBRDlq2LegRRWDKjPwEY+fH8hlwVtA3n36AV27txJ\n//79//Ra/FUCAgI4cuIUu3bt4svP1nE1L4+GXZry3qTJREVFVdm4FeGvCP/t7htJgJ1E85at+GTH\n12X+5ufmQkqh6bbilaqHrnUjAZjwyCO0btOGvr3uIUgpMKKpH15KORfzTAwfdB9jH36E+QsXVdvs\noKIibNCXVEB7aeUX5bYXRZFvP1hYWtPh76CQC8zsElomocdb5cKoZr7UcStgS2oCbfsMYfZjI/Dy\n8UMURTKSriMIQjknYEXfFFUqFaNGjWJr7BbGtyi/xmyy2th6KY+Jt8QU+7m5UGyyojNb2Z9YyPLR\no8vt5+HhwSfrPuO997PYt28fFouFtm3bOhSkvLw81q9fx7K+oWX6Jt6ga5iazXFZDG0YYnf/LhFe\nfBeXy8n0YtqFeBDtqyJJa6JPuIKPV6+sUgGGEsd7v3796NevX5WO44jKfIZudyxJgJ3EqFGjmPHc\ns1zPVxPpXRIe1MTfDZ3ZyvksPc0CynubC40lD+TqsSXeepPJxPChgxgW5cZ9t9QzbhXszoBoL97Y\nsI7IevWZOm2ac07KDhUSYVHk8pkTrHrtOcY8+wpePr4AFORms27+G1yLO1sptgS4u9rNpgToWc+L\nry6l0rJzDzrfO5RXxg5EV6h1YG7FxNdms7F79248NN6svZBDcr6OaF83lHKBVkHuuLnKWHk0g0hv\nZZlawNfyjdwV5sH8I7k8MGrUbZ1d/v7+DBvmKFH/Jrt376ZZkBcalQtZxWYyis2oXWVEeiuRCQKX\ncw20CnK3WzPkBu1CPYjL0tMuxAODxYarTCDEQ8HplOQKXY/aRHVNWiQBdhIeHh4sX7WaaU9O4rHm\nGjqEepCrt6A325i3P4VZ3cPKpAnn6My8cyiTxx6fWFoV7fvvv8dLNHJfdPmZlYdCzsQWXrz7zts8\n+dRT5Zo/OpOKiLDJoCd211Zid24hLKohoiiScrUktvNOa/A6olOY49KcMkGgeR0lXy59h/hzpxyG\nvVVUfA8fPszo/4xAbtbRxAu61/XkYFIhyVoTjfzc+OZ8LlZRpFc9DRNaB5Ren8QCI+ez9FwusDJm\nzEMsXbHyzk/UDkajEavVyuy9SVzKNhCuUZBvsAAC/2nmhwAOnXo3KIm6gfQiEymFJhrXceOX61qC\nQxyvb9cmasI6siTATmT06NH4+fkx64UZrNp6GWxW7mvgQ4S3krn7UgjycKWut5IcnYVzmTpEQcaM\nmS+U7r9xwxd0CXIsrA383BBNuZw5c4bWrVs745QcUhERvlH8prJmvH9Eb759nYtCvYG4+MOIdrpu\n/FF4k5KSWL50CRu/3oBOp6dxo0Y8Oe1Z7r//fuLi4rivXx8mtfCiY+jNEMPJ7YL49HQmcVl6Phoc\nxXdxOexPKmSMVUQlwIVsPe/FZjJ0+AjmL3jfYVH+v4Kbmxunk3MZ16IOM7uEonQpqUsdl61n6eF0\nOod7cjpdh8FSksJu7/wPJRXycKsAlh9Jo5m/GyuPpnMmy8jApj5kZmb+pVDM6qYmiO6tSGFoTkYU\nRdLTM9C4KTCYrQxt4kvXCC8+HBzF/U18CfNS0CXCk4+GRNG1vh9r13xcuq9OV4y7gwLeN5BZTXyw\nalVVn0aFqMx05b/C3gRtaWPLP6I32ziZVlwh8d2/fz+tmjcjbtv/eLKRnDc6aWhlucpLUycyfMgg\nXn/lZYbUV9MpzLPMA+4qF3i0dQAqF4EjKUU82MIff7UrM3Ze5+ldKaw4b2Lp6o/54ssNdyy+FouF\nnJwcjEb7bwtLF87n4Vb+DGzkW5rAIwgCTf3VvNkznB2X8xDkMr44Xz7cC+DHK/nozTZWHk3nWp4R\nrdFKY383xrXwJe3wDzSoH8majz8ut19NRBCE0p+ahiTATuTnn39mzAMjmNRUyWPNNUT7qkq7L7vI\nBDqEejKwoS89IjWoXeU085Zx6vjR0v1btG7LhTzHWUJFphLv+5efrycuLq7Kz6ciVKcIW6wi/zud\nVc4Gmyiy+lg6f3wcRVEst61Wq+X+wQOZ2lrDoy19ifJVEeDuSvdIDW93q0PC6Vi2bN1G7/r2434F\nQaB/tA8/Xy9pUzW0sS/FZht9hj7AtaQUHrTjcLsd6enpTHtqCv6+PtSLCMPby5PhQwZx4sSJ0m2u\nXr3KmdNn6FPfft/EOmpXOoZ5MGDQEK5YvXnncA6n04vJ11u4lKNnwaFU1p7MxGAR0VlsjG3pz9u9\n69I/2ocekRqmtPZlbo8gXnz+GXbu3HlH9juTmiq6tyItQTgJo9HIxAnjeay5hhaB7sRl6dCbb59y\nWWy24XZLPYJJk5+gxZLFDI4uX5sYYPPFXNoEuxPqrWb50sUsW1FzZsLV8SAYrCI7LudxIVvP0Ma+\nBHm4kqQ18e35HFILTRhvKRjv6Iti3bp1NPFTlqYT34qrXMawaHcuZxTYbeAKJSnMWTozV/MMbLqQ\nS30fJQaLyPDhw+2GDebm5rJ27Rp+2rEds9mEp48fDRs1Jjo6mk6dOjGgf19aaay82yOAQA8FxSYr\ne64fpc893fn8q2/o168fFy9epK6P6rYOtpgANVkCxB47wdq1a1m1bDFXD1xHjki0r4oHm9dhT0IR\nvkqBftHls+nCvJSMberFnNdeoW/fvg7HqQ5quujeiiTATuDKlSt079aForwcOnUqKXMZ7etGjt5C\nUoGxTGLFrRzIsDJn1s100YiICJ54air/XfI+UzsE0Sq4pNpVgcHC5ot57L1ewNzedckoNrP5cKxT\nzq2i3BA4Zz8cRqvIhWw9i2PTEIQSO/SWPxfeG/y4bTMdAhw/Jo3quGG02Cg0WksTJG5wLLWIZUfS\nCVC70LOehtRCE1+dy0YQBLsNMHft2sUDI4bROkhN+wAXZILAodNnWbJtK/X9PUnIKWJIY18eaObH\nlVwDXx1O41qeAReZQJs6SkaNHMHVhETmvPEaGXmFQPm+ijcoMNrw0njj7u7OlClT2LjhCyIFLY+2\n9Clt6no8rZgBDX0dHuOuME9WbzlNTk4Ofn6O07qdRW0S3htIAlzFGI1G+va8h7YaC9dsitKb21Uu\nMKihLyuOpvNq9/ByzRm3XSnA6Kpm4MCBZf7+xJNTWLZkMf87ncWSw2l4KOTk6i10DPNkXp+6+Kld\nScg3VqjhZ3VQXUKst9x0yN3JsojVYsWOj6oUpYsMLzcFO68WMLzJTbE6l6ljSWwaM7uGlgkxfKR1\nACuPZzF04H3s3ruvdBb87bffMv6h0bzUObDM9p3CPInPNfDqnkSsosjQRj58eTabH+PzGdDAh/7R\n3hitJR27DXodd3frirc+E4PFxvU8A5E+5SuiiaLIvjQzH40uSQc/dOgQVy6cY0mvoDIdtfVmW2mh\nH3u4ygXcVQqKioqqVYBro/DeQBLgKmbjxo34yI30jdIw+xdtmYI6w5r6klFs4ukd17ivgTcN/Nwo\nMFjYm2omw6Lgp5/3lMt5Dw8PJzQkhDHhZoI8FegtNvzVrrjf8gp8IN3EkEllC63UNKpDiP/KenSX\n7j3Yu/43OjvoX5lVbMYkyth6TU+AWkvXiBJH3Odns3m0TUC5+G6li4yp7QN4/pc49uzZQ2RkJKNG\nDOPypYv0qethNx48ylfF8KZ+7Licx9HUIn5N0LKwfyTetyRYxASo6VbXi9m/xPF+v0hOestYFJvG\n7J7heClvbieKIut+y8MvJKK0FOmXn62nR6iyjPgChHgquJSjd9g/MVtnxmC2VVp97julNgvvDSQn\nXBXz9Rfr6RbkQriXAi+lnGOpN4uZyASBJ9sHMb1zCAn5Rt49kMqvhkAmvTKPcxcu2c1yEgSB/740\ni0/jilC7yon0VpUR32OpRZzJMvLwwxOccn5/F3uOr6o4/l8d47HHJ3I4uZDreeXjhEVR5MsLWsaN\nH8fO3T+zJUPJM3syWHI0k6t5BjqH23fMyWUCvcMUrFy6mO5dO9NWkY1SsNE7yr7TDKBnfQ15Bivf\nX8jl4db+ZcT3BjEBarpGeLE/qZCBDX1oG+LBlG3X+ORkJvsStGy9lMtT269xLF/O1h92lgpYXm4O\n3sryUtAv2pttl/IwWOyH822+XMiDox8s7VfoLGqDc62iSAJcxRQXFeGhkCEIAg+18GfFkXQu5+hL\nPxcEgboaJSbBhR69+nDo2AkmTJhw2zqsEyZMYOjoh5n+czrfXigpkXg6vZjlJ/NYebqQzdt24Ovr\neO2uJvJ3hdLecSpD2AMCAlj90RpmH8xm26V8ik1WRFHkco6e947kkK8OZu6892jbti1xl+P56PNv\niDe5o1HKSxus2iPQw5Uzp07S2ldgQLQGo1XEw9Xx676nQo7FJpKUb6TtLQ5BvdnGmfRiTqUVU2Cw\n0Ku+hmO/130Y29Kfd/vURRDgYFIh1/KMRPq48ejEJ8rE8DZs0pRrReVFtqm/G0381cz+JYmkgpvh\nbkUmK5//lscprQuvz55zp5f0b/FPEd4bSEsQVUzzVm24+NMlOoRCmxAPJrYL5M29ydT1VtLAV0WB\n0cq+BC1Dhgzh08++qNAxBUFg/vsL+c+oB1m2aCHrTp1ApVJx/7gHWP/Y4/j7O3a+1AaqO374jzzw\nwANERkYy7+05jN/0A6JoIyQwgMlTnuXpadNK6/AKgsD58+dxtxSRY7Jhstrs9n0DSNYaSUvPZcxd\nJYV3wr0UxGXruSvcfqHxuGw93io5JquIXCZgttpYdzqL3dcKCPdS4iITuJpnoIm/G8ZbElCCPRWM\nb3VTbF89kENMTEyZY0945FHmvzuPkQ298HG7KQmCIPBUhyAWHExlxk9JhNfR4OYq51p2IX379uXg\nshVOXX74p4kvSOUoq5zLly/TsW1rFvUKxvv3m9tstXEkpYiUQhPnsgxEtLmbTVvvvDGmMzCZTGze\nvJkrV66g0Wi4//77CQoKqm6zqg2bzYbZbHbo5GwUVY/x9Wx8cy6HrhGedouym60iU3dcpZGvipPp\nOl6/J5ykAiNbL+Uxt3ddXP6wFmsTRWb/kkzLIDVfncthzj3hfHY2G4Vc4NE2gaUhiUUmK1+czWLv\n9UJWDapfLjTuXKaOxaeLSEpNx9W1bBjj7Ndf45OVi3m6tQ/1fUuWFKw2kb0JWv53vpBtP5TE+xqN\nRpo2berULLh/iPBK5SirgwYNGjDt2ed4beUSHm+hoZm/G65yGc0D3bmutZCNO1tWrQZKHu6MjAzk\ncjn+/v7VfuNt2LCBqU9MJtzLlUgPgQKLwAvPT+fB0Q+ydMWqcg/xvwGZTOZQfA0GA1cTkmjWIRpl\nizq8uTcZjcqFdiHupf/LYpOVZUfSCfdS8sxdIexL0LLgYCqL+0eyP7GQt39NZkLrgNLQxLRCE+vO\nZGG2iQxs6IPBYmP50XTkMoF3etct4zjzUMh5vG0Q+QYrS2LTeL5LCAq5DLNV5GCSlk/OaVn3xVd2\n/2+vvPY6dfwDeGv263i4FOLj5srV7CKiGzTkx5820b59+yq4mn9OZT0DMpkcQRCwWss3Tq1OpBmw\nk/hk7VrefvMNigry8FQpSC8oZuDAgby7YCH+/v4sfH8ByxYvori4CKtNJCw0hOkzX2LChAnVIsRb\ntmzh0bGjeaFTHaJ9bzpZikxWFh3LpVHn3qz7/Eun21WTMZvNqN1UfDk8Gle5jHOZOhYcTMVVLhAT\noEZrtHImo5iWgWqe7xKKQl5Sn2Hajus81iaApgFqvjmXww9X8nCRCSjkMgpNVnrX1zAqpg5KFxlG\ni41JW+J5rG0gXSPsO/kS8o3M3JWAKIqE1tGQqzMR0yyGt96dT7du3W57DhaLhdjYWAoKCoiKiqJx\n48ZVcakqRGXc90qVG54+vnQf8gAKpRtHd28n4dL5Siv4dAfYnQFLAuxERFHk4sWL6HQ66tWrh4+P\nD2azmYH9+5IXf5ZRjT2J9lVhE0XOZOhYH1dEn6EjWbZildPDtZo0qM/ocCutgss3gzRabDz5Ywp7\nDx2hadOmTrOrNtDz7i60slyjR6SGPVcL+OhEOh1CPamjdkXlImAVRXbFF9A7yptRMSVtjNaezMBD\nIWdks5LfDWYbiw6lcjKjmJe7hdEi6Ob/QGe28vjmqyzoV5cgD/s94gBGbLiIWu3Gth92Eh4eTkRE\nRNWeeCVTGfe7QqVixOTpDBg7qczxzh87xLtPj8dk0N9m70pHWoKobgRBKDejWLlyJdlXzjLrrjql\nr5MyoaR+bEM/Ff/9ZgP3Dx9J7969nWbniRMn0GnzaRlk38GidJFxT113PlnzMe/OX+A0u2oDM16c\nxaMPjcJbKeeTU5m82zeyXL+/ftE+vLArgSgfFe1DPTBa4cfzuRQYrNiAI8mF+Lu78nibQBbGphHk\n4UpDPxXZOgtnciy4qdXkG6wEOai2WWSyYkPkySlT6NKlS9WfdCVTWZONxq07MnBc+e7lTdvdxX+e\neJ6vVs53tgiXQwpDq2aWLXqfEQ3cywXBA6hd5Qys58aS9+c71ab09HRCvFS3fRCC3GSkJic50ara\nwb333suz/32J9w5lMKChTznxhZKuHKOb+7PlYi5Wm8jxLDOt2rUjrchMgNqFF7uFMbd3XXpHefPh\n4CiGNvYlo8hMnjqE8xcvM/XZ6fycZL9+McBP8flEhAQze87bVXmqNRo3d0/uHfOYw8+7D32g0noO\n/h0kAa5GDAYD1xKTaepvP9MIoGWgmlMnHXfvrQqCg4NJLdDfNhwsTS8SGl71bcprIzNmzsTTy4su\nEfZDygDuCvfgbKaOz89kYTCa6NO3P9eLoWOYJ1G+KkRR5LdMHetOZ3EkuYhzuWbmzV9AaGgokyY/\nwYksE/sTC8sd92K2no2XtHz9/ZZa2Tm4sma/omjDLzDY4efunhrkLtXvRJYEuBopeUBEzA5q1kLJ\nequrwrk3SuvWrXH39uNkmv2+bAaLjZ8Tinj4kUecaldtQiYTyoWTlflcEBBFiE0uZGp7fz5ZsZi7\ne/bmpV8zWHs6m2k7rrHiSHpJGyEfJY381Dz04Cg2btxIQEAAP/60h8/jzbz4cyo7LufxU3w+b/2a\nzGs/J4EIc998A72+el+v75TK9nMkXrng8LPstBRs1ttXI3QGkgBXIy4uLnTv2pkDdmYyN9iXomfg\noCFOtOr3RI9FS1h+Kp+L2WUfYq3RyrtHchgwaDBNmjRxql3OIjExkXnz5vH89OdYunQp2dnZd3yM\nDh07cTxN5/DzU+nFBHq4Mr9fPTqEevJalzr8tPNH1n/5NftTTdwV7sXyAfV4IKYOgxr5MqtrIK92\nrsOkRx7m119/pVWrVjz3/Ayyf++eci5LR5tgd9YMjWLNoLpk/RbLuNGj/s5lqNUYdMV8/9FShyK7\ndd1qJ1tkHykKoprZuXMn40eNYE63gHI1fi/n6HnrUA6Hj5+gQYMGTrftm2++YcrkiQSp5dTzlFFg\nETieXMD48eN5f/HSf1wcsNlsZsrkiXy1YQNdwj3xU4qk6gWOJBcyY+ZMZr3yaoVnaXv37mX0sMHM\n6xFQphgOlHRGfnl3Iv2iveld/2aixuqTubg168r1Y/t4tbP96mI/XytgV647z818kZnPP8ernXyp\n611+ndlstTH5hxR+jT1aK74oqyLKR6Fyo1WXe3j05Xfw9C6paWw2Gdnx2Ud8+8Eih30AqwgpDK2m\nsvD9Bcx54zX6RnrQJlCFxSYSm2bk16QiPl3/OYMHD64228xmM9u3byc+Ph6NRsPgwYNrfaqzIyY9\n9gjHf9rM8+19SzuVQEmD1DmxOTw5/SWmz5hR4eO9/MJM1n+8mv80dKdTmCdyGZxKK+aL37IJ9lDw\nzF3BpZXxoMR5tjnJxsh6LnSraz/G12S1Mfbby0T6eaIzGFl6Xz2H4396JpemQx/jzTlvVdjm6qKq\nwixdlSoQRaJiWqFQqrh05jiizYZR7/jtpIqQBLgm89tvv7Fs8SIOHdiHXC6n/4BBTH5ySq2L36yt\nJCYm0rxpY1bfG1ZGfG+QojUxa38WyWkZuLk5dpr+ke+//575c9/i0LHjIIpEeisZ0MCHnvU1ZcQX\nYGNcLntSLUxp4UFTf8fFmCZtiWdAAx/OZ+t4oWuYw+22XMzFpd1gVq7+sML2VgfVnfHpJKQ44JpM\nTEwMqz78qLrN+Ney4fdlB3viCxDqpSDSx42dO3cyZEjF1+SHDh3K0KFDMRgMRIaHMq2dl8Mi6XtT\nTTRsHMP1/MsOBVhrtFBotFLXW8mOK/m3bfeUqBPo06BRhW2VcD6SE05CAsjOysRPcfs29nXcZOTk\n5Pyl46tUKl56eRbLTuVTYChbj0AURT49m0dwRH1efOU1diYaMVvt27L9cj4dwzxoEajGRQbHUu1H\nquTozMQmaRk3btxfslfCOUgz4Apw9OhR/rd2DempKUTUq88jjz1Os2bNqtssiUokom4kRw2O6/EC\nJGrNhIc7aI1RAaZOe4b09DSeXr6ce+p6Us9LRr7Ryt5UM34hddm240f8/Pxo2bEL848cZmJLDX7q\nEken2SqyMz6fH67kM693BIJQUgnt/YOpTO0YXKbgT0K+kYXHc5kx8wWnVi2TuHOkNeDboNfr+c/w\n+zlx+BA9w1X4q+WkFlnZnahj0JChfPDx2loZ7C5RnpycHOpFhLOwd4jdjtNxWTqWntWTkJKGXH57\nof4zrl69yoerV3H5QhwaHx8efGgcvXr1KhVQk8nEzOens3btGqLruGMxFJOYX9K8dVK7wDLZdafS\ni1l+JB0EGY1DfMjRW8jSWXnl1deYMvXpGr++WtPtq0QkJ9yd8uDI4aSd+pWn2/qVCao3WGzMO5xD\nj2FjWLBwcTVaKFGZzH37LT5Y9B4zOviWEbm4LB0Ljuay4qO1jBgxwmn2aLVa9u7dywv/fZ52yjyG\nNy0fmmYTRV7Ym8nj018mLCwMX19fevToUS5EcN++fSxdtIDTJ0+iVCoZPGwETzw5hdDQUGedjl0k\nAZYE2C7x8fG0a9WCD+4NQ2mnLW6+3sLUXakkJKfg7V2+6LZE7UMURZYsXsSbb7xBuEaBv5ucRK0Z\nnejC+0uWOVV8b+XAgQMMvrcfMzr6lXHOma0in5zNI9s9jP2xR+zOzEVR5Nmnp/L15+sYUE9NTIAK\ng0Vkf4qB/cnFfPPdJnr27OnM0ynDv12ApfdnB3z33Xd0CfOwK74A3m4uNA/2ZPv27YwePdrJ1klU\nBYIgMO2ZZ5n8xJPs2rWL7OxswsPD6dGjx99edvg7dOnShfUbvmb8Q2MI9dTT2FNEZxU4mKKjXYeO\n7Ph6o0P71qxZw/ZvPuO9ewLLdMhoXMeNjkEKRg4bStylK9JacTUhCbADtFotni6394p7uQpotVon\nWSThLJRKJQMHDqxuM8pw7733kpyWzqZNmzh79ixqtZq5gwffth6zKIq8N/ctxjX1LNeeCKB5oDvt\ngk189OEHvPTyrKo0X8IBkgA7oEGDBvxY7Pj1SBRFruSbqiVFWKL2YzQaOXDgAEVFRTRs2LBCnScU\nCgUjR45k5MiRFRojJSWFzMwMmrd3HLnROUjB1u+/lQS4mpDigB0wfPhwLufouZZnP1/8VLoOi4sb\n99xzj5Mtk6jNiKLIvLlzCQsO5OmHR/HO9El069Sezh3acvr06Uody2w2o3Rxue06q9JF4Pq1a1gs\nNatX2r8FSYAdoFarWbJsBW/HZnMirQjb785Kq03kQKKWJSdyWf3xWmQy6RJKVJzpz0zjk6Xv8UZn\nX97u6scL7b1Z3T+UtrI0enbvxtmzZyttrLCwMKyCjKQCx/3PTqQWg9nArJderLRxJSqOpB634aGx\nY1m9dh1fpSh4alc6bxzKY/KPKewp8uPbzdvo06dPdZsoUYu4cOECn65dwyud65QJc3ORCfSpr2Fk\nAzXPPT2l0sZzdXVl4uQn+Px8fukE4laydWZ2xuczua0/q1etpLjYfladRNUhhaFVAFEUOXPmDFlZ\nWYSGhtaK8n4SNY/nn3uWxJ++4KEYH7ufGy02Ju5I5vS5uEorwqTT6WgUVY8gWTFjmvtT31eF2SoS\nm1zIutNZDGjow5DGvrx6MJd5q/9Hv379KmXciiKFoUn8KYIg0LJly+o2Q6KWc+nCeZp4OQ5nU7rI\niPD1ICEhodIEWK1W07tPH87v2cRb+5LRm22YbSIN/dx4vG0g7UNLOnu6u8owGJxaH1cCSYAlJJyG\nr68fuZmO2+CIokhOsRGNRlOp47bt0Inrsbv4sFsoxSYbrnIB1S3x7SarjbgMLTExMZU6rsSfI60B\nLpnlrgAAAkdJREFUS0g4iTHjJ/BLitlhs9PfMnWovbxp3rx5pY47duxYTqYVk1RgwlMpLyO+AD/E\na2ndug1RUVGVOq7EnyMJsISEk+jVqxe+IRF8ejavnFMso8jEylMFvP7mW5W+LqrRaFixajWzD2ax\nL0GL2VoyttZo5ctzuWy5bmTVR2sqdcyKcic+qH8i0hKEhISTkMlkbN/5E4MH9Gfa7ivcHaLAUyEQ\nXygSm1TIm3PeZvSYMVUy9ugxYwgIDGT2Ky/zwbazeKtV5BUbGDJkMLHfz6VePcetjSSqDikKQkLC\nyYiiyKFDh/jqyy/Q5ufRJKYFD0+Y4LRee+np6RQUFBAcHIyXl/3ec87kXxIJIVVDk5CQqJn8C0TY\nrgBLa8ASEhIS1YQkwBISEtXOv9UZJwmwhIREjeDfKMKSAEtISNQY/m0iLAmwhIREjeLfJMKSAEtI\nSNQ4/i0iLAmwhIREjeTfIMKSAEtISNRYarMIi6JY+uMIKRVZQkKiRnOrgNWGhI07+dKQZsASEhK1\nhpo8I/6z2a49pBmwhIREraKmzIgr48tAEmAJCYlayx9FsCoFuSpm35IAS0hI/GO4nUhWRJydvcQh\nCbCEhMS/gpq4fiw54SQkJCSqCUmAJSQkJKqJOyrILghCFpBQdeZISEhI/COpK4piuZYndyTAEhIS\nEhKVh7QEISEhIVFNSAIsISEhUU1IAiwhISFRTUgCLCEhIVFNSAIsISEhUU1IAiwhISFRTUgCLCEh\nIVFNSAIsISEhUU1IAiwhISFRTfwfsjlOYr6xf2EAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "90Vpk8XxflT8", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"We increase now the hyperparameter C to 100:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "lYSUGyf6fauA", | |
"colab_type": "code", | |
"outputId": "c9a9b40f-c16e-467e-9178-065d582c8989", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 361 | |
} | |
}, | |
"source": [ | |
"ssmodel = SVC(gamma='auto', C=100) #='scale'\n", | |
"ssmodel.fit(X,y)\n", | |
"y_pred = ssmodel.predict(X)\n", | |
"print('Score: ',ssmodel.score(X,y))\n", | |
"print('Confusion Matrix: \\n',metrics.confusion_matrix(y, y_pred),'\\n')\n", | |
"X1= np.array(X); y1= np.array(y)\n", | |
"Plot_Classifier(ssmodel, X1, y1, title='SVC Cell Classifier boundaries', annotate=False)\n", | |
"plt.show()" | |
], | |
"execution_count": 47, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"Score: 0.9632107023411371\n", | |
"Confusion Matrix: \n", | |
" [[146 4]\n", | |
" [ 7 142]] \n", | |
"\n" | |
], | |
"name": "stdout" | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": 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P5ggRO378OK2aN6WCt8K4RkXwM6i5kJDOL2cS2HwxiZeqBfDujihm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\n0pVrUrRMRR4GXSEs5CHD562ibPW6bPhuAtHhL5m5+ZBBv45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mZZKS+UEJrNm4lc6dO3+y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\nrkJggg==\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "7XasOuxxgATz", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"We do have the best score (0.96) now but it is overfitted!" | |
] | |
} | |
] | |
} |
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