{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab excercise 1/1. Unsupervised learning / clustering.\n", "\n", "\n", "---\n", "\n", "\n", "\n", "1, Get data\n", "* A Download the data from the article *\"Hurricane-induced selection on the morphology of an island lizard\"*.\n", " * https://www.nature.com/articles/s41586-018-0352-3\n", "\n", "2, PCA \n", "* A, Perform PCA on meaningful lizard body measurement data. \n", "* B, Plot, and interpret the first 3 components using the descriptive labels ('Origin', 'Sex', 'Hurricane').\n", "\n", "3, T-SNE\n", "* A, Perform T-SNE on meaningful lizard body measurement data. \n", "* B, Plot, and interpret the emerging clusters using the descriptive labels ('Origin', 'Sex', 'Hurricane'). \n", "* C, Repeat T-SNE 3 times using random seeds (0,1,2) and compare them visually. \n", "* D, Try T-SNE using 3 components too, do new clusters emerge which explain other descriptive labels?\n", "\n", "4, K-means\n", "* A, Perform K-means clustering on meaningful lizard body measurement data with 2 clusters. \n", "* B, Interpret the clusters using the descriptive labels ('Origin', 'Sex', 'Hurricane'). \n", "* C, Repeat A and B in the 2D T-SNE embedding space.\n", "* D, Perform K-means clustering on the original data with 3 and 4 clusters. Assess visually the meaning of clusters in the 2D space of the 1st and 3rd PCA component. What is the relationship between the clusters and the descriptive labels? \n", "\n", "5, Hierarchical clustering\n", "* A, Perform hierarchical clustering on meaningful lizard body measurement data. Show the results on a dendrogram.\n", "* B, Interpret the dendrogram using the descriptive labels ('Origin', 'Sex', 'Hurricane').\n", "\n", "\n", "---\n", "*Dezso Ribli*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "# Example solution file" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load modules" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "from sklearn.decomposition import PCA\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.cluster import KMeans\n", "import seaborn as sns\n", "figsize(8,8)\n", "mpl.rcParams['font.size']=16" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1, Get data\n", "* A Download the data from the article *\"Hurricane-induced selection on the morphology of an island lizard\"*.\n", " * https://www.nature.com/articles/s41586-018-0352-3\n", "\n", "It's here : https://datadryad.org/resource/doi:10.5061/dryad.2t41r64" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "%%bash\n", "# wget https://datadryad.org/resource/doi:10.5061/dryad.2t41r64" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2, PCA \n", "* A, Perform PCA on meaningful lizard body measurement data. \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load data and find \"meaningful lizard body measurement\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "data = pd.read_csv('hurricane.csv') # renamed it" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check data" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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IDHurricaneOriginSexSVLFemurTibiaMetatarsalLongestToeHumerus...FingerArea2FingerArea3ToeArea1ToeArea2ToeArea3MeanFingerAreaMeanToeAreaSumFingersSumToesMaxFingerForce
0537AfterPine CayMale48.6910.3911.877.527.438.66...1.3381.3392.5292.4022.3691.3326672.4333332.6634.7910.116
1539AfterPine CayFemale40.318.669.796.186.208.01...0.9500.9721.4981.5251.5300.9613331.5176672.5953.6780.048
2540AfterPine CayMale58.3012.8714.769.459.5811.72...2.7022.6854.1574.1403.9962.6313334.0976677.3474.6820.424
3541AfterPine CayFemale43.158.5510.296.606.267.43...1.1751.1861.8981.8711.8671.1776671.8786672.7865.3780.171
4542AfterPine CayFemale45.5110.2611.026.897.027.71...1.3571.4202.6272.4352.5291.3843332.5303333.5756.6460.014
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5 rows × 26 columns

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" ], "text/plain": [ " ID Hurricane Origin Sex SVL Femur Tibia Metatarsal \\\n", "0 537 After Pine Cay Male 48.69 10.39 11.87 7.52 \n", "1 539 After Pine Cay Female 40.31 8.66 9.79 6.18 \n", "2 540 After Pine Cay Male 58.30 12.87 14.76 9.45 \n", "3 541 After Pine Cay Female 43.15 8.55 10.29 6.60 \n", "4 542 After Pine Cay Female 45.51 10.26 11.02 6.89 \n", "\n", " LongestToe Humerus ... FingerArea2 FingerArea3 ToeArea1 \\\n", "0 7.43 8.66 ... 1.338 1.339 2.529 \n", "1 6.20 8.01 ... 0.950 0.972 1.498 \n", "2 9.58 11.72 ... 2.702 2.685 4.157 \n", "3 6.26 7.43 ... 1.175 1.186 1.898 \n", "4 7.02 7.71 ... 1.357 1.420 2.627 \n", "\n", " ToeArea2 ToeArea3 MeanFingerArea MeanToeArea SumFingers SumToes \\\n", "0 2.402 2.369 1.332667 2.433333 2.663 4.791 \n", "1 1.525 1.530 0.961333 1.517667 2.595 3.678 \n", "2 4.140 3.996 2.631333 4.097667 7.347 4.682 \n", "3 1.871 1.867 1.177667 1.878667 2.786 5.378 \n", "4 2.435 2.529 1.384333 2.530333 3.575 6.646 \n", "\n", " MaxFingerForce \n", "0 0.116 \n", "1 0.048 \n", "2 0.424 \n", "3 0.171 \n", "4 0.014 \n", "\n", "[5 rows x 26 columns]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.head()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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0123456789...154155156157158159160161162163
ID537539540541542543544545546547...WC61WC62WC63WC64WC65WC66WC69WC70WC71WC72
HurricaneAfterAfterAfterAfterAfterAfterAfterAfterAfterAfter...BeforeBeforeBeforeBeforeBeforeBeforeBeforeBeforeBeforeBefore
OriginPine CayPine CayPine CayPine CayPine CayPine CayPine CayPine CayPine CayPine Cay...Water CayWater CayWater CayWater CayWater CayWater CayWater CayWater CayWater CayWater Cay
SexMaleFemaleMaleFemaleFemaleFemaleMaleMaleFemaleMale...MaleMaleMaleFemaleFemaleFemaleFemaleFemaleFemaleFemale
SVL48.6940.3158.343.1545.5146.9752.8857.0143.1754.2...55.8955.555.7641.9241.0643.0442.3845.7440.9540.62
Femur10.398.6612.878.5510.2610.0212.7411.879.9911.32...12.3513.1212.329.779.189.239.219.799.048.64
Tibia11.879.7914.7610.2911.0210.7812.4312.9111.1313.07...13.7314.2614.3210.0910.139.969.810.0810.089.77
Metatarsal7.526.189.456.66.896.857.98.246.887.77...8.478.838.976.26.576.296.686.616.266.14
LongestToe7.436.29.586.267.027.188.238.026.77.7...8.678.358.375.996.235.726.296.545.526.61
Humerus8.668.0111.727.437.718.459.8810.317.7810.19...10.3310.899.947.787.427.127.388.057.276.91
Radius7.996.519.546.67.257.158.48.797.118.7...9.029.389.116.696.36.736.627.236.666.38
Metacarpal2.222.383.542.792.522.393.153.182.823.05...3.283.52.872.62.262.52.172.42.242.52
LongestFinger3.193.555.093.553.373.264.34.23.364.12...4.474.364.33.22.63.073.283.4132.94
FingerCount10101411111211121212...1212129101010111011
ToeCount12131512131414121316...14141511131212131213
FingerArea11.3210.9622.5071.1721.3761.4281.8732.5581.1142.284...1.8351.7961.8070.9190.7971.0150.9121.1360.7820.827
FingerArea21.3380.952.7021.1751.3571.411.852.5441.082.344...1.9141.7941.8250.9130.771.0080.921.1190.7930.842
FingerArea31.3390.9722.6851.1861.421.441.852.5741.042.27...1.9011.7661.7640.9310.7821.0310.8941.1460.7770.845
ToeArea12.5291.4984.1571.8982.6272.0612.9844.0161.7943.916...2.8973.2692.7931.3831.3721.171.5421.7191.2271.122
ToeArea22.4021.5254.141.8712.4352.0182.9833.9521.7163.913...2.9163.3252.7461.3311.3451.1271.5261.7161.2341.203
ToeArea32.3691.533.9961.8672.5292.0292.9583.9681.8053.88...2.8693.2582.7481.3651.3421.1481.5271.7031.2521.116
MeanFingerArea1.332670.9613332.631331.177671.384331.4261.857672.558671.0782.29933...1.883331.785331.798670.9210.7831.0180.9086671.133670.7840.838
MeanToeArea2.433331.517674.097671.878672.530332.0362.9753.978671.771673.903...2.8943.2842.762331.359671.3531.148331.531671.712671.237671.147
SumFingers2.6632.5957.3472.7863.5753.8295.4537.8122.686.907...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
SumToes4.7913.6784.6825.3786.6465.7718.4279.4274.24310.913...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
MaxFingerForce0.1160.0480.4240.1710.0140.2670.3560.1910.1910.151...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
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26 rows × 164 columns

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" ], "text/plain": [ " 0 1 2 3 4 5 \\\n", "ID 537 539 540 541 542 543 \n", "Hurricane After After After After After After \n", "Origin Pine Cay Pine Cay Pine Cay Pine Cay Pine Cay Pine Cay \n", "Sex Male Female Male Female Female Female \n", "SVL 48.69 40.31 58.3 43.15 45.51 46.97 \n", "Femur 10.39 8.66 12.87 8.55 10.26 10.02 \n", "Tibia 11.87 9.79 14.76 10.29 11.02 10.78 \n", "Metatarsal 7.52 6.18 9.45 6.6 6.89 6.85 \n", "LongestToe 7.43 6.2 9.58 6.26 7.02 7.18 \n", "Humerus 8.66 8.01 11.72 7.43 7.71 8.45 \n", "Radius 7.99 6.51 9.54 6.6 7.25 7.15 \n", "Metacarpal 2.22 2.38 3.54 2.79 2.52 2.39 \n", "LongestFinger 3.19 3.55 5.09 3.55 3.37 3.26 \n", "FingerCount 10 10 14 11 11 12 \n", "ToeCount 12 13 15 12 13 14 \n", "FingerArea1 1.321 0.962 2.507 1.172 1.376 1.428 \n", "FingerArea2 1.338 0.95 2.702 1.175 1.357 1.41 \n", "FingerArea3 1.339 0.972 2.685 1.186 1.42 1.44 \n", "ToeArea1 2.529 1.498 4.157 1.898 2.627 2.061 \n", "ToeArea2 2.402 1.525 4.14 1.871 2.435 2.018 \n", "ToeArea3 2.369 1.53 3.996 1.867 2.529 2.029 \n", "MeanFingerArea 1.33267 0.961333 2.63133 1.17767 1.38433 1.426 \n", "MeanToeArea 2.43333 1.51767 4.09767 1.87867 2.53033 2.036 \n", "SumFingers 2.663 2.595 7.347 2.786 3.575 3.829 \n", "SumToes 4.791 3.678 4.682 5.378 6.646 5.771 \n", "MaxFingerForce 0.116 0.048 0.424 0.171 0.014 0.267 \n", "\n", " 6 7 8 9 ... 154 \\\n", "ID 544 545 546 547 ... WC61 \n", "Hurricane After After After After ... Before \n", "Origin Pine Cay Pine Cay Pine Cay Pine Cay ... Water Cay \n", "Sex Male Male Female Male ... Male \n", "SVL 52.88 57.01 43.17 54.2 ... 55.89 \n", "Femur 12.74 11.87 9.99 11.32 ... 12.35 \n", "Tibia 12.43 12.91 11.13 13.07 ... 13.73 \n", "Metatarsal 7.9 8.24 6.88 7.77 ... 8.47 \n", "LongestToe 8.23 8.02 6.7 7.7 ... 8.67 \n", "Humerus 9.88 10.31 7.78 10.19 ... 10.33 \n", "Radius 8.4 8.79 7.11 8.7 ... 9.02 \n", "Metacarpal 3.15 3.18 2.82 3.05 ... 3.28 \n", "LongestFinger 4.3 4.2 3.36 4.12 ... 4.47 \n", "FingerCount 11 12 12 12 ... 12 \n", "ToeCount 14 12 13 16 ... 14 \n", "FingerArea1 1.873 2.558 1.114 2.284 ... 1.835 \n", "FingerArea2 1.85 2.544 1.08 2.344 ... 1.914 \n", "FingerArea3 1.85 2.574 1.04 2.27 ... 1.901 \n", "ToeArea1 2.984 4.016 1.794 3.916 ... 2.897 \n", "ToeArea2 2.983 3.952 1.716 3.913 ... 2.916 \n", "ToeArea3 2.958 3.968 1.805 3.88 ... 2.869 \n", "MeanFingerArea 1.85767 2.55867 1.078 2.29933 ... 1.88333 \n", "MeanToeArea 2.975 3.97867 1.77167 3.903 ... 2.894 \n", "SumFingers 5.453 7.812 2.68 6.907 ... NaN \n", "SumToes 8.427 9.427 4.243 10.913 ... NaN \n", "MaxFingerForce 0.356 0.191 0.191 0.151 ... NaN \n", "\n", " 155 156 157 158 159 \\\n", "ID WC62 WC63 WC64 WC65 WC66 \n", "Hurricane Before Before Before Before Before \n", "Origin Water Cay Water Cay Water Cay Water Cay Water Cay \n", "Sex Male Male Female Female Female \n", "SVL 55.5 55.76 41.92 41.06 43.04 \n", "Femur 13.12 12.32 9.77 9.18 9.23 \n", "Tibia 14.26 14.32 10.09 10.13 9.96 \n", "Metatarsal 8.83 8.97 6.2 6.57 6.29 \n", "LongestToe 8.35 8.37 5.99 6.23 5.72 \n", "Humerus 10.89 9.94 7.78 7.42 7.12 \n", "Radius 9.38 9.11 6.69 6.3 6.73 \n", "Metacarpal 3.5 2.87 2.6 2.26 2.5 \n", "LongestFinger 4.36 4.3 3.2 2.6 3.07 \n", "FingerCount 12 12 9 10 10 \n", "ToeCount 14 15 11 13 12 \n", "FingerArea1 1.796 1.807 0.919 0.797 1.015 \n", "FingerArea2 1.794 1.825 0.913 0.77 1.008 \n", "FingerArea3 1.766 1.764 0.931 0.782 1.031 \n", "ToeArea1 3.269 2.793 1.383 1.372 1.17 \n", "ToeArea2 3.325 2.746 1.331 1.345 1.127 \n", "ToeArea3 3.258 2.748 1.365 1.342 1.148 \n", "MeanFingerArea 1.78533 1.79867 0.921 0.783 1.018 \n", "MeanToeArea 3.284 2.76233 1.35967 1.353 1.14833 \n", "SumFingers NaN NaN NaN NaN NaN \n", "SumToes NaN NaN NaN NaN NaN \n", "MaxFingerForce NaN NaN NaN NaN NaN \n", "\n", " 160 161 162 163 \n", "ID WC69 WC70 WC71 WC72 \n", "Hurricane Before Before Before Before \n", "Origin Water Cay Water Cay Water Cay Water Cay \n", "Sex Female Female Female Female \n", "SVL 42.38 45.74 40.95 40.62 \n", "Femur 9.21 9.79 9.04 8.64 \n", "Tibia 9.8 10.08 10.08 9.77 \n", "Metatarsal 6.68 6.61 6.26 6.14 \n", "LongestToe 6.29 6.54 5.52 6.61 \n", "Humerus 7.38 8.05 7.27 6.91 \n", "Radius 6.62 7.23 6.66 6.38 \n", "Metacarpal 2.17 2.4 2.24 2.52 \n", "LongestFinger 3.28 3.41 3 2.94 \n", "FingerCount 10 11 10 11 \n", "ToeCount 12 13 12 13 \n", "FingerArea1 0.912 1.136 0.782 0.827 \n", "FingerArea2 0.92 1.119 0.793 0.842 \n", "FingerArea3 0.894 1.146 0.777 0.845 \n", "ToeArea1 1.542 1.719 1.227 1.122 \n", "ToeArea2 1.526 1.716 1.234 1.203 \n", "ToeArea3 1.527 1.703 1.252 1.116 \n", "MeanFingerArea 0.908667 1.13367 0.784 0.838 \n", "MeanToeArea 1.53167 1.71267 1.23767 1.147 \n", "SumFingers NaN NaN NaN NaN \n", "SumToes NaN NaN NaN NaN \n", "MaxFingerForce NaN NaN NaN NaN \n", "\n", "[26 rows x 164 columns]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check nans:\n", "\n", "Some attributes were only masured after the hurricane, and one data point has a lot of missing values" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(data.isnull().values.T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lizard #39 ran away" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ID 588\n", "Hurricane After\n", "Origin Pine Cay\n", "Sex Male\n", "SVL 47.44\n", "Femur 10.32\n", "Tibia 11.6\n", "Metatarsal 7.73\n", "LongestToe 6.66\n", "Humerus 8.5\n", "Radius 7.56\n", "Metacarpal 2.35\n", "LongestFinger 3.65\n", "FingerCount NaN\n", "ToeCount NaN\n", "FingerArea1 NaN\n", "FingerArea2 NaN\n", "FingerArea3 NaN\n", "ToeArea1 NaN\n", "ToeArea2 NaN\n", "ToeArea3 NaN\n", "MeanFingerArea NaN\n", "MeanToeArea NaN\n", "SumFingers NaN\n", "SumToes NaN\n", "MaxFingerForce 0.274\n", "Name: 39, dtype: object" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.iloc[39,:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### We are not interested in clustering based on missing values! Drop data not needed!" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# drop the one data point wth lots of NA\n", "data = data.drop([39])\n", "\n", "# only keep numercal body measurements\n", "data_num = data.drop(['ID','Hurricane','Origin','Sex'],axis=1) \n", "\n", "# drop which was not measured\n", "data_num = data_num.drop(['SumFingers','SumToes','MaxFingerForce'],axis=1)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(data_num.isnull().values.T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Perform PCA" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# scale before PCA\n", "X = StandardScaler().fit_transform(data_num)\n", "\n", "pca = PCA()\n", "X_pca = pca.fit_transform(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "## 2, PCA \n", "* B, Plot, and interpret the first 3 components using the descriptive labels ('Origin', 'Sex', 'Hurricane').\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Strong clustering in the 1st component" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(X_pca[:,0],X_pca[:,1],'o')\n", "xlabel('PCA 1')\n", "ylabel('PCA 2')\n", "show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interpret components: Comp 1 is male-female ( of course )" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "male_idx = data['Sex'] == 'Male'\n", "plot(X_pca[male_idx,0],X_pca[male_idx,1],'o', label='Male')\n", "plot(X_pca[~male_idx,0],X_pca[~male_idx,1],'x', label='Female')\n", "xlabel('PCA 1')\n", "ylabel('PCA 2')\n", "legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### No obvious clustering in comp 2-3" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'PCA 3')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(X_pca[:,1],X_pca[:,2],'o')\n", "xlabel('PCA 2')\n", "ylabel('PCA 3')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check origin, nope" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "orig_idx = data['Origin'] == 'Pine Cay'\n", "plot(X_pca[orig_idx,1],X_pca[orig_idx,2],'o', label='Pine Cay')\n", "plot(X_pca[~orig_idx,1],X_pca[~orig_idx,2],'x', label='Water Cay')\n", "xlabel('PCA 2')\n", "ylabel('PCA 3')\n", "legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check hurricane, bingo!" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hurr_idx = data['Hurricane'] == 'After'\n", "plot(X_pca[hurr_idx,1],X_pca[hurr_idx,2],'o', label='After hurricane')\n", "plot(X_pca[~hurr_idx,1],X_pca[~hurr_idx,2],'x', label='Before hurricane')\n", "xlabel('PCA 2')\n", "ylabel('PCA 3')\n", "legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Check hurricane and sex, just to make sure" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hurr_idx = data['Hurricane'] == 'After'\n", "plot(X_pca[hurr_idx,0],X_pca[hurr_idx,2],'o', label='After hurricane')\n", "plot(X_pca[~hurr_idx,0],X_pca[~hurr_idx,2],'x', label='Before hurricane')\n", "xlabel('PCA 1')\n", "ylabel('PCA 3')\n", "legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", "## !!! Interpret component values:\n", "\n", "---\n", "\n", "### Sex component: males are simply larger" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('SVL', 0.2396699068873259),\n", " ('Femur', 0.22787727077890135),\n", " ('Tibia', 0.23911059988009495),\n", " ('Metatarsal', 0.2366058325405837),\n", " ('LongestToe', 0.22661416394099954),\n", " ('Humerus', 0.23583888230278138),\n", " ('Radius', 0.24081352224425923),\n", " ('Metacarpal', 0.20109839039008381),\n", " ('LongestFinger', 0.22255726865127848),\n", " ('FingerCount', 0.17064296922266192),\n", " ('ToeCount', 0.17997059568328241),\n", " ('FingerArea1', 0.23971929539505535),\n", " ('FingerArea2', 0.23710651531690163),\n", " ('FingerArea3', 0.23914791932390145),\n", " ('ToeArea1', 0.24113144273838197),\n", " ('ToeArea2', 0.24130280317578753),\n", " ('ToeArea3', 0.24108709961903993),\n", " ('MeanFingerArea', 0.23949943955814071),\n", " ('MeanToeArea', 0.241448303304203)]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "zip(data_num.columns,pca.components_[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 2nd component is a mostly related to finger counts?" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('SVL', -0.1264116423487418),\n", " ('Femur', -0.087180321654185419),\n", " ('Tibia', -0.034287079581090056),\n", " ('Metatarsal', -0.017872575956949147),\n", " ('LongestToe', -0.079592633212735089),\n", " ('Humerus', -0.062324471858596381),\n", " ('Radius', -0.071317747466594902),\n", " ('Metacarpal', -0.003123450078838077),\n", " ('LongestFinger', 0.049457065395697442),\n", " ('FingerCount', 0.71832636566670749),\n", " ('ToeCount', 0.61730112255325165),\n", " ('FingerArea1', -0.0052252564903880914),\n", " ('FingerArea2', -0.03794270634308515),\n", " ('FingerArea3', -0.0039468185410039503),\n", " ('ToeArea1', -0.1220862932300881),\n", " ('ToeArea2', -0.11718960228925009),\n", " ('ToeArea3', -0.12297391062949543),\n", " ('MeanFingerArea', -0.015894230241668198),\n", " ('MeanToeArea', -0.12088714442673387)]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "zip(data_num.columns,pca.components_[1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Third component, ability to hold on for your life :) Larger finger area, smaller body." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[('SVL', -0.10031708144735453),\n", " ('Femur', -0.34801099979186972),\n", " ('Tibia', -0.23757229624192613),\n", " ('Metatarsal', -0.28738164612456424),\n", " ('LongestToe', -0.3287004624442737),\n", " ('Humerus', -0.11076157225672248),\n", " ('Radius', -0.16281208805504277),\n", " ('Metacarpal', 0.0099190929537464369),\n", " ('LongestFinger', -0.1959173293427677),\n", " ('FingerCount', 0.1537247004016587),\n", " ('ToeCount', -0.20524728861177247),\n", " ('FingerArea1', 0.30879125133348778),\n", " ('FingerArea2', 0.34186501685373183),\n", " ('FingerArea3', 0.33016763335354538),\n", " ('ToeArea1', 0.11254794694959888),\n", " ('ToeArea2', 0.11285274974123567),\n", " ('ToeArea3', 0.10911972833480814),\n", " ('MeanFingerArea', 0.32822325347183928),\n", " ('MeanToeArea', 0.11163157253758042)]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "zip(data_num.columns,pca.components_[2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "## 3, T-SNE\n", "\n", "* A, Perform T-SNE on meaningful lizard body measurement data. \n", "* B, Plot, and interpret the emerging clusters using the descriptive labels ('Origin', 'Sex', 'Hurricane'). " ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'T-SNE 2')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.manifold import TSNE\n", "tsne = TSNE()\n", "X_tsne = tsne.fit_transform(X)\n", "plot(X_tsne[:,0],X_tsne[:,1],'o')\n", "xlabel('T-SNE 1')\n", "ylabel('T-SNE 2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interpret using sex" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'T-SNE 2')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "male_idx = data['Sex'] == 'Male'\n", "plot(X_tsne[male_idx,0],X_tsne[male_idx,1],'o', label='Male')\n", "plot(X_tsne[~male_idx,0],X_tsne[~male_idx,1],'x',label='Female')\n", "legend()\n", "xlabel('T-SNE 1')\n", "ylabel('T-SNE 2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interpret using hurricane" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'T-SNE 2')" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(X_tsne[hurr_idx,0],X_tsne[hurr_idx,1],'o', label='After hurricane')\n", "plot(X_tsne[~hurr_idx,0],X_tsne[~hurr_idx,1],'x',label='Before hurricane')\n", "legend()\n", "xlabel('T-SNE 1')\n", "ylabel('T-SNE 2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interpret using origin" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'T-SNE 2')" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(X_tsne[orig_idx,0],X_tsne[orig_idx,1],'o', label='Pine Cay')\n", "plot(X_tsne[~orig_idx,0],X_tsne[~orig_idx,1],'x', label='Water Cay')\n", "legend()\n", "xlabel('T-SNE 1')\n", "ylabel('T-SNE 2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3, T-SNE\n", "\n", "* C, Repeat T-SNE 3 times using random seeds (0,1,2) and compare them visually. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### TSNE is stochastic! " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'T-SNE 2')" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(16,4)\n", "f,a = subplots(1,3, figsize=(16,4), sharey=True, sharex=True)\n", "tsne = TSNE(random_state=0)\n", "X_tsne = tsne.fit_transform(X)\n", "plt.sca(a[0])\n", "plot(X_tsne[:,0],X_tsne[:,1],'o')\n", "xlabel('T-SNE 1')\n", "ylabel('T-SNE 2')\n", "\n", "plt.sca(a[1])\n", "tsne = TSNE(random_state=1)\n", "X_tsne = tsne.fit_transform(X)\n", "plot(X_tsne[:,0],X_tsne[:,1],'o')\n", "xlabel('T-SNE 1')\n", "ylabel('T-SNE 2')\n", "\n", "plt.sca(a[2])\n", "tsne = TSNE(random_state=2)\n", "X_tsne = tsne.fit_transform(X)\n", "plot(X_tsne[:,0],X_tsne[:,1],'o')\n", "xlabel('T-SNE 1')\n", "ylabel('T-SNE 2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3, T-SNE\n", "\n", "* D, Try T-SNE using 3 components too, do new clusters emerge which explain other descriptive labels?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3D T-SNE is rubbish here!" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'T-SNE 2')" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(9,9)\n", "tsne = TSNE(n_components=3)\n", "X_tsne = tsne.fit_transform(X)\n", "plot(X_tsne[male_idx,0],X_tsne[male_idx,1],'o', label='Male')\n", "plot(X_tsne[~male_idx,0],X_tsne[~male_idx,1],'x',label='Female')\n", "legend()\n", "xlabel('T-SNE 1')\n", "ylabel('T-SNE 2')" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'T-SNE 3')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(X_tsne[male_idx,1],X_tsne[male_idx,2],'o', label='Male')\n", "plot(X_tsne[~male_idx,1],X_tsne[~male_idx,2],'x',label='Female')\n", "legend()\n", "xlabel('T-SNE 2')\n", "ylabel('T-SNE 3')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### TSNE does not show hurricane even in 3 dimensions" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'T-SNE 3')" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(X_tsne[hurr_idx,0],X_tsne[hurr_idx,1],'o', label='After hurricane')\n", "plot(X_tsne[~hurr_idx,0],X_tsne[~hurr_idx,1],'x',label='After hurricane')\n", "legend()\n", "xlabel('T-SNE 2')\n", "ylabel('T-SNE 3')" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0,0.5,'T-SNE 3')" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(X_tsne[hurr_idx,1],X_tsne[hurr_idx,2],'o', label='After hurricane')\n", "plot(X_tsne[~hurr_idx,1],X_tsne[~hurr_idx,2],'x',label='After hurricane')\n", "legend()\n", "xlabel('T-SNE 2')\n", "ylabel('T-SNE 3')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4, K-means\n", "* A, Perform K-means clustering on meaningful lizard body measurement data with 2 clusters. \n", "* B, Interpret the clusters using the descriptive labels ('Origin', 'Sex', 'Hurricane'). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Naturally 2 cluster yields male/female" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K-means correctly categorized gender: 0.957\n" ] } ], "source": [ "kmeans = KMeans(n_clusters=2)\n", "acc = (male_idx.astype('int')==kmeans.fit_predict(X)).astype('int').mean()\n", "if acc<0.5:\n", " acc = 1 -acc\n", "\n", "print 'K-means correctly categorized gender: %.3f'%acc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4, K-means\n", "* C, Repeat A and B in the 2D T-SNE embedding space." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### K-means dpends on the embeddig, and the T-SNE one is slightly more accurate!" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "K-means correctly categorized gender: 0.963\n" ] } ], "source": [ "kmeans = KMeans(n_clusters=2)\n", "tsne = TSNE(n_components=2)\n", "X_tsne = tsne.fit_transform(X)\n", "acc = (male_idx.astype('int')==kmeans.fit_predict(X_tsne)).astype('int').mean()\n", "if acc<0.5:\n", " acc = 1 -acc\n", "\n", "print 'K-means correctly categorized gender: %.3f'%acc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4, K-means\n", "\n", "* D, Perform K-means clustering on the original data with 3 and 4 clusters. Assess visually the meaning of clusters in the 2D space of the 1st and 3rd PCA component. What is the relationship between the clusters and the descriptive labels? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### More K-MEANS cluster do not reveal new meaningful clusters!\n", "- We could wish for something like: like (male before hurricane, male after hurricane, female before hurricane, female after hurricane \n", "- Bu NO, it just divided male/female to 3 new clusters: female, male, macho male " ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kmeans = KMeans(n_clusters=3)\n", "x_kmeans = kmeans.fit_predict(X)\n", "\n", "figsize(14,6)\n", "subplot(1,2,1)\n", "hurr_idx = data['Hurricane'] == 'After'\n", "for i in [0,1,2]:\n", " plot(X_pca[x_kmeans==i,0],X_pca[x_kmeans==i,1],'o', label=str(i)+'. cluster')\n", "xlabel('PCA 1')\n", "ylabel('PCA 2')\n", "legend()\n", "\n", "\n", "subplot(1,2,2)\n", "plot(X_pca[hurr_idx,0],X_pca[hurr_idx,2],'o', label='After hurricane')\n", "plot(X_pca[~hurr_idx,0],X_pca[~hurr_idx,2],'x', label='Before hurricane')\n", "xlabel('PCA 1')\n", "ylabel('PCA 3')\n", "legend()" ] }, { "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": [ "kmeans = KMeans(n_clusters=4)\n", "x_kmeans = kmeans.fit_predict(X)\n", "\n", "figsize(14,6)\n", "subplot(1,2,1)\n", "hurr_idx = data['Hurricane'] == 'After'\n", "for i in [0,1,2,3]:\n", " plot(X_pca[x_kmeans==i,0],X_pca[x_kmeans==i,1],'o', label=str(i)+'. cluster')\n", "xlabel('PCA 1')\n", "ylabel('PCA 2')\n", "legend()\n", "\n", "\n", "subplot(1,2,2)\n", "plot(X_pca[hurr_idx,0],X_pca[hurr_idx,2],'o', label='After hurricane')\n", "plot(X_pca[~hurr_idx,0],X_pca[~hurr_idx,2],'x', label='Before hurricane')\n", "xlabel('PCA 1')\n", "ylabel('PCA 3')\n", "legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5, Hierarchical clustering\n", "* A, Perform hierarchical clustering on meaningful lizard body measurement data. Show the results on a dendrogram.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### It is super easy with seaborn, and we get column clusters too, and some nice heatmap." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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zM2tVEXEl8MxJvvztzHxuxbVnAeuBs4BO4E7g/Zn5xaLG46SsCak7+3/ks7rpy3POXT79RTN07XU7ZbEBnvCEZbLY23boejd1dbbuVJfyqKKxMe10t/Zx0QUP8Q6Ie+7RbSQaU75ggBUrdMsM7t+rm3pta9c+p1ee+Bey2B/94G2y2ABf/8S0l/wZsGTCbU8B/oFSJ38AIuJ5wL8BnwdeSul4pcdT8PpvJ2VmZmZ2UMrMmyfeFhGvoZR0fbH8+WLgU8AVmfnnFZcWvtjOSVkT8u5LMzOzuRcRvZTOuPxqZm4v3/wi4DHAh9T376SsgaZIvvoy8yLV/S5ZvkAVmpt+2y+LvWq1rgcawA037pLFPunxul2pbeITnMQzRjLDI9qBDwnb5il7oIH2cTnySF0/ru4u7TTd7r26x6ajQzf2UeWZX2KnPrXpOom9EFhM+eDxsrOB7cApEfEN4ETgQeATwPsys7D1KU7KGqtq6wsv9DczM5u9iFgHrKu4aUNmbpjiWy4EtgDfrLjtscACSuvJ3gtcCzwbeBelczALW3TnpKwJqRf6P//Zuney+4d1TbOW9+r6iAHcu2PiWs/i/G6j7iBl5aJw0C4MV479xGO0DdyUvcRa9RQFgP4BXZlPXbVduUz3nO7aIwvNgl5xuRzdRiW1cgI2VRL2sIh4LKVk68OZWflLu43SrNY7MvMfyrddGRErgTdExPrMLGSqRf1MmpmZmbWCl1PKiz4z4fZt5Y/fnXD7dyi1xjipqAG4UtbEil7w7+lLMzOzSV0IXJ+Z10+4/abyx4m12vHSamH9TpyUNTfJcUs9HbqptO39nbLYN9/VK4sNsEI4dbFiufgsJCHllJGyZdYDW3WxAYaGdQ9Mu7jvlNLIiK4fl3KxPMDCXl38EeEM4IjuV/pBIyLOoFTxelOVL/8/SmvJngvcWHH7c4CBCbfNipOyJlRRIetr8FDMzMwOBhcCI5QW8z9KZt4YEZ8G/joi2oDrKK09ezXw3szcW9QgnJQ1p57MXD9xB+ZspzM9fWlmZvZoEdEJ/AnwrczcPMllrwXuB/47sArYCLwpMz9c5FiclDW3iQeWF9K/7IFdumnA3ft0e0eOOEy79eqm23S7O49aqzu+xapbsET7etm1V/daX7ZYN/bhEfWxXLr4W7bppkYBBoQbvHft0jW2Gx31n/LZyMxhSs1hp7pmCHhn+Z+Mn8kmNrE1xmz7l7lSZmZm1ryclLWQovqX7erXvcM/fvU+WezfbdKdRACwdKluk4JyIa66d9Oo8ORtZQ+04eHWPah9117t2JWvmdUrdSva798kCw3A3r26H9TeXt1mH/XGkB//Whf79JN1v3dbkfuUmZkdRFr12Cyzg4ErZU2gygL+vhquqZunL83MzJqXk7Lm8Kh+ZBHxvSprxwo7pHzfft1b5eVdhe0MPsDuvdo+ZcqFuN1dXbLY6gPJR4X9lUJ4nNCwsI8YwOCQLn5np/JoK1loAFat0I39iNXaF/uDW3Vj7+nWxd7br90Acfaputj7hnSxW5GTsjkySaWrb5LLOyZWtRQHlJuZmVnzcFI2dw7ozl9nojWxPUbdPH1pZmb2iIg4HHgrcAbwRKAXOCozN07xPW8DPgBck5lnV9x+PPAG4FzgaGAP8AvgXVWObqrKSVmLKGrnJcBRq3Wl7v/zk2Wy2Gedoj1L5IZh3S6gBzfpGiB1dWmndAYHdfOX7e3CXl/LWndX1+ho667Gv+5m3eulq7N196aNjrbu0Vnz3LHAi4FrgauB86a6OCKOBt4BbKny5fMoJWSfodT1fxnwFuDnEfG0zLx2usE4KWtOGys/KepgclfKzMzMHuVHmbkKICJezTRJGfC/gM8Bj+PAHOqLwD9lPrJyMyJ+QOlv+hspHeU0JSdlzWnjhM8LPZj8xjuKinSgY/t0C9rvmuzwi4IsW6KLvWjhrHPqSaV45fbIiK7i1C48p31Mu/aZ3h5d5UO5uQK0B8Hv368b/IJebaVM2XtOaWSkRQfeBDKz5t8UEfFS4EmUjmT6cpVYD1W5bVdE3AasqeU+nJTN0hRVrL45HoqZ2bSUCZnZfBURy4F/BN6SmdtrbXwdESuAk4FP1XK9k7LZq1rFmsvdkrVOb3r60szMDiYRsQ5YV3HThszcMINQfwfcBny6zu/7KBDA5bVc7KSsOR1wEPk0iVddPcz2CacXNj2kexu+c6eujxjA6sN0U6/aXl+62ACj4mlAlX37tQNXzhqPCYO3iV8wyqOzlP3bAPr36V4zS5fo5uqVPfNKxPPpQuUEbCZJ2MMi4umU1oM9KetYL1LepflS4OLMvL2W73FS1oSqHES+ninWlbmHmZmZmczHgX8G7ouI8RYDHUB7+fP9mfmoLfYR8TpKbTPemZmfrPWOnJTNDzX1MBtP6pTdmX/6G907qs7ONnp6dAt9N96tO0x95UrdQn+Ajg7lovPWXEQcAd3dutfLmPRxad2FX0sW6/6s3HvvgCw2wOKluk0tu3brfjd6ob/cieV/r6vytR3AX1AxPRkRrwCuAD6Ume+v546clLWGAeCEyb5YZA+zZqZMyFqZMiFrZcqEzMwOKudWue1yoB3478DDU5MR8QJKi/o/kZmX1HtHTspaQGZeNrESNpPeZV7ob2Zm9mgRcUH5v6eXP54fEVuBrZl5VWZeWeV7dlI6EvHKitueAXwB+A3w6Yg4q+JbBjPzV9ONxUlZ65px77KhEd2C0yPW6GLfuVHXFR9gzZoFstjKqa5oa91KmXLoixeqH5fW7FOm3hjSrdsvQ+8C7Z+s1Yfq4vfv0/0OGB5WT1+26G6f2n1pwudXlD9eBZxTR5xnAd3AacA1E752NzW0ynJS1joO2JHZoHGYmZnNG5lZ91uVzDynym3rgfWzGYuTssYaT7T6pruwyo7MS+vddenpSzMzs+blpKyBxhOtmbS0mM3i/qOWHXASRGG27Foli/3Y1cJ5EWDTFl0ftIULdNO6yqOKQNuPS7mBcftO7ZSL8Cz1lu0NB9rHZdcu7RKG5cuU05e6J3XFMu0vgR//Whc7x7T9J194Zrc0ftG8PcnMzMysCbhS1sRmssNyKuPTl7dvP6SokAfYtUdX+ti9e0QWG+CYtbpK3O13ad/hK3uJtbfrVoaLz1Ln2KN075KVh1crq02gfdw3bdXtUjjiiIWy2AALF+he62Ope1I7/Jd83vBT2dxmvMPSDh6t2txVTZmQtTJ1ImxmM+ekrEmVq2R9VW6bceXMCZ6ZmdkjIuJw4K3AGcATgV7gqMzcOOG6yd7OnJaZvy5fcxGlxrGTWZ2Zm6Yaj5Oy5tUDbJx4WxGJ1Y13KA871i1m3b1bOwU4OKQ7YqWnV7cQV3vcD4wJF523Cafp7t+sne4ekfeG0lA+5gCLFun+rKirwlse0r3YlyzWPfAj2pf6fHcs8GLgWuBq4Lwprv00pXMwK91W8f+vA0+Z8PUAvgrcOV1CBk7Kmp17k5mZmen8KDNXAUTEq5k6Kbs/M3822RczcyuwtfK2iHg6sBJ4dy2DcVLWxIroTTYh3oy/18zMbL7JTHUDmlcCQ8AXa7nYSVmTqLJerG/iNUUdPH72ybq+MHds6ZXFXrhAu/Pq8Mfo5gD29uumLoZHtFM6ncIDz5U7GHt7tOcJKY9CUvaeU05HAzxmuS72xvu1r/WFC3Q/p8rjrdRHZ/30W7pGZT2LdMfbAfCnJxcZ7fUR8WZgFPgZ8O7MvHqyiyOiF3gR8LXM3FbLHTgpax6PWi82m4qYmZmZFeqzwNeAB4C1wJuBH0TEf6p2YHnZ84ElwGdqvRMnZU1M1afswV2FhTyAcsHpsYcLSxNAV7uyhKB7B66sZIH2wPM2ZamshamrWUr7BnWvlyNWazvXb9+lez1KK87i18tTnnuqLHaKfwdExDpgXcVNGzJzQ71xMvMVFZ9eHRH/DtwIvA84e5JveyWlNWbfqPV+nJQ1N/cpMzMzm6FyAlZ3ElZD3D0R8XXg4mpfj4jVwLOBj2ZmzeUKJ2XNawA4YfyTIqpmTvDMzMwKE8Bkpb6XA+3UMXUJTsqaVmZeNmFdWWFVs9ExXRl9YFBXir7jfu3UxdLFuh+HQ1fKQjOoPc9Xql04NTokflwm7yU5e8qu++pF4dt26ObS1H3KHn+0LvZDu3W/v9SbfexAEbEEeB7w80kuuRD4zXhj2Vo5KWtulX3K+ho4DjMzs3kpIi4o//f08sfzI2IrsDUzr4qIS4DHAT/kkYX+lwCHAS+rEu9JwMnAX9Y7FidlTayyBcZ4cjabaUxPX5qZmR3gSxM+v6L88SrgHOBW4AXlf0uB3cA1wMWZ+R9V4r0SGAE+V+9AnJQ1h0etH5vsmnJi1peZF83mztau7J/Nt09pZFTXS2xAe8oSXR26KYChEd2cUbfudCg55cYr5VQ6aMfeytOXg4O66cuVK7R/sjbv0MUeEh7L1SZcBqD265/8TnsHNfQpy8wpH8DM/Cqlo5JqkplvBN5Y6/WVnJQ1gSrrx6peA7Pr6u9KmZmZWfNyUtZiiujq//ZLf1nEUKp68vlnyGKvWqU7LQCgo0PXS+yBTbpV5+oeRaPCkpByoX9Hp7Z6oKwIqQsfISyXpbDMp65+9vfreiEuWqRb6N/V2boL/S9e9/hGD6Gp6P4KmZlZ01EmZGY2O66UNZmiu/hX8vSlmZlZ83JSpjMwYe1XX43fJ+/i/wcvn+xEiNm78VcPymKffKL2QHLl4uqeHm2PNSVlYUX5mA8MiI/l6tRNNCinANUOWdkli71Ad0IcAIPCI6K6u3Sxt2xt4WaF9ihOykQmrv3yAeNmZmY2FSdlLcZ9yszMzIoREYcDbwXOAJ4I9AJHZebGimvWAh8BTgUOBfopHUb+N5n5zYrr1gPvnuSuBjNz2r/dTsqax8N9yKa5btbTm4sX6aZdznjKGlnshT3abYb9A7rHpaNDN3UxIj5ipVV7ZvX2aqeM29tbc8F8KhusAQuFm6R37taOfekS3WtG+XO6ZIn2T/mOnfN6evRY4MXAtcDVwHlVrlkEPAS8E7gPWAK8BvhGRPxxZn65fN0ngG9N+N6F5du+UstgnJQ1iYo+ZOvHb5ukKtY3zdenuo/1015kZmZ28PhRZq4CiIhXUyUpy8ybgIsrb4uIrwN3Aa8Cvly+7j5KSVvlda+glGvVdDC5k7LmdkBVrIhDyh/cNDS7UU1h9WG6Rb4PbNVWJhYJ9xEoD1IeE1c+WrVS1tWl7fijrDiJn1JpH7T7N+k2WIyJN0B0C18zixfqYv/ud7tksQGWrdD2iGykzJzRFExmjkTELmC6MuIrgc3At2uJ66Ss9fiQcjObsRY+kcesoSKijVJ/10MoTV8ezxTHKZXXq50LXJ6ZI7Xch5OyFjPhkPK6jlzy9KWZmR1MImIdsK7ipg2ZuWGG4f4W+Mvy//cCL8nM709x/SsoJXE1TV2Ck7JmVHMlbKZHLrUJFyjvH9BNL6xY1roHUByl2/9At/ineGBY93ppEz6lG+9v3V5fykXh6g0Ki4TTdMoNM6CtIiqnpE85eakuOHDvA7olL2rlBGymSdhElwNfBA4DLgQ+HxEXZObXJrn+QuBXmfmbWu/ASVmTmVAJW9/AoZiZmVnZhIX8X4uIK4G/Bw5IyiLiTOAE4M/ruQ8nZS2gqKOXPH1pZmZWmF8yedL1SmAE+Hw9AZ2UtYZCj1769TW3FxXqAK993fGy2Jt3aqcvF/Xq5hf27NONfbNwyhi0uy87hFNpg0PaY5aUU6/KKUblTmCANuEcYFenLDQAHcLWdtt26Posdne37u6Na2/U9kB74ZndkrjlRf9nA3dU+VoX8BLgG5m5tZ64Tsqa25QNZd2nzMzMbHYi4oLyf08vfzw/IrYCWzPzqvLf4RXANcAmSmvKLgbOBF5aJeQflq+veYH/OCdlTaxaQ9kJZlRBO+n3jprFqKa2a5/urWa3+F3yfuFhxIPCdbLt7nFQ1ZLF2srqqLAQp1wU3tkZLdsWQ1nNBtgmbPc1LNy80dPTok9o8/jShM+vKH+8CjgHuI7SNOVLgKWUErPrgadn5jVV4r0S2E6VtWbTcVLWGgYmScz65ngcZtbiWjUhM1PJzCl/KjLzK9R4TFL5+v8y07E4KWvyYT3CAAAgAElEQVQBk7W+cJ8yMzOz+cNJWQubaZ+y7m7dFOOSXu2h4UorF+yXxb57u+4Mp9Exbemjs0N5RJQstHQqyia3Utgy67AlA7rgwNJe3Z/E7f262GuWaR+XYx+r+5tx9XWy0C2pdbtxmpmZmc0jrpQ1QFF9x+rl6UszM7Pm5aSsMQrtO1av1au6ZLEHhnXzUdfeMCiLDbD6MN0U49aHdNsvn3aqtuA9MqaLv32vblrk8Mdo+5S1Cx/2UeG0bogX+t/5gO6BGRjqlcUG7WOjXAZw11bt4/LYFbrfXxc9c5MsdslacfxiOSlrMsoqmitlZmZmj4iIw4G3AmcATwR6gaMyc2PFNWdQOtT8GcCRwEPA1cA7M/OuiuuOB94AnAscDewBfgG8KzOvr2U8Tsqaj7yK1rdK10F5005dM7FTT9LO+B53yE5Z7JuXLpfFvnuLLDQA3brCqrQf1wPbhO3ZgRQedTAyIgsNQLvwoTlile5xUT7mAPsGdVW+w5frFuMrq9ml+PO6j8qxwIuBayklWudVueYlwEnAR4CbgDXAu4BfRsSpmXlv+brzKCVkn6HU22wZ8Bbg5xHxtMy8drrBOCkzMzuIKBMysxb0o8xcBRARr6Z6UvY3E49LiohrgLuA1wB/Vb75i8A/ZcW7h4j4AbAReCNw4XSDcVLWQmY7tenpSzMzs0dk5rQrOKudX5mZd5ePYlpTcdtDVa7bFRG3VV43FSdlraWQqU3lDMDuvcKjRFbIQgPwu4eWae9ApKOFf4pbubu88ueolatZm7bpntT9A9rpy+XCHmu33KdbjN8r3st/2DLhOXEtKiJOBA4FbpnmuhXAycCnaonbwr/O55eKKljfhM8r9c3tqMzMzKxSRHQAHwO2Av88zeUfBQK4vJbYTsqaR09mrq84NumAqli1I5XqmdIcj3fvQ7rF+MqFuJu3wROP0i2W3bxH93azrU33uPR2w5hwIa5yK7+y9UNXJ4yM6h6XaY7LO2gpn1PlCRAAq5bp2qhs26Mrf3Z3aiuIrSwi1lHaOTluQ2ZumGXY/wk8FXheZu6Y4r7fBrwUuDgzb68lsJOy1lLtYPK+zLyoAWOZc8qErJUpE7JWpkzIzKw1lBOw2SZhD4uID1JK8l6Zmd+Z4rrXAR+g1Dbjk7XGd1LWQqqddVnPoeRe6G9mZjYzEfEO4FLgf2Tmv0xx3SuAK4APZeb767kPJ2XNZ7wa1lfLxTM5lPzue3Wd8f/oabpq1s9uWyKLDfD4tbr+bXdv1TX7Uve0Ki2HEEUWFrNWLtXOdSk7+ispe8OBdopxyQJdbIC9A7ondVC4Vr6zhf+S37DtCGn8444pJk5E/A/gfcA7MvOjU1z3AkqL+j+RmZfUez8t/FTOT+NJVq3VLzMzM5u5iLig/N/Tyx/PL7e72JqZV0XESygt1P8W8IOIOKvi23dn5s3lOM8AvgD8Bvj0hOsGM/NX043FSVmLKOL4JU9fmpmZHeBLEz6/ovzxKuAc4LmUpgyeW/5XafwagGcB3cBpwDUTrrubGmbAnJS1jsKOX1p7RHcRYar62W26abodO7XzdGNH6mIvXqCbM+oS7o4ECIS7L4U7GLvatY/Lll263XSHLNHtAlRvgNi9TzcFOKo9Y55e3a9G6a7UgSFvapmNnGYrdXkz3UU1xFkPrJ/NWJyUNa+JOy37GjQOMzMzmwNOyprUxAX84wnabKYxxyttq1fo3m4qqwe9Pbr+agD7h3SPS0+ndtH5mLDipFyM366swo1pH/dVy3Rjbw9hZVV8WkBvl+4x37FX+yerQ1hdXb5YFppFPeIGbjZnnJTNncrKV1+V5KqvxjiFTWPa/KBMyFqZOhE2MyvarJOyIhagt7i+Wi6qrHyVk7NHJVc17LY8oFVGvY+9kzkzM7PmVUSl7KCu3MxV64pJWmXM6LFXHvexapluMb76WBvlUUg7+1v4hGlhnzKlkRY+6UA5Zaw8SB1au0K5fKHu99ftD+gmplYsEu+AsDnj6cvW86hp0AaOw8zMzArkpKzFTJgGrfmIpfL31nytmZnZwSAizgXeS6l57H7g68Almbl5wnWnApcBZwNjwJXAm2o9bLwWTspa2EyOWAJ4xto7ix7Kw361tU8We2mP7hgk0E4ZdXcKj28Z1k7TKfugKTcpDI+op7t1sZV9p5Q7DAGGR3RT9csXaXsV3r9dt8P7xCN0x9vtG9L+KX/ywl/LYl8zdJosdi0i4unAd4BvA38MrKR0nNL3I+L0zBwsX3cccDVwI/AySvnTu4EfRcSpmbmliPE4KTMzM7OD1bspddt/fmaOAETEb4H/AC7mke7+bwVGgfMzc2f5up8DtwOXAG8pYjBOylpEkccsdY3qDg1X2juofbkOjuhKH8pDmjvEewiUHeCV1ckI2LJdF1+5YD6EfcrUli7WPandHdpNBEsWCHus7dNV4ZS94QB+NXiKNH6DnQX8y3hCBpCZv4iIbcALeCQpOwv46XhCVr7uvoi4sXydk7L5aIrkq6981IOZ1UCZkJnZvDEKDFW5fRA4ucbrjomInsycdcXDSVnzqdrmot5F/dV4ob+ZmR1MImIdsK7ipg2ZuaHi81spVcEqv2ctsBoYnnDdUyOiMzOHy9ctBk6i1DdoOfDgbMfrpKxFzHRRfzU9Q3uKCnWAzduFq5/F7r57vyz2EUfo+iurD2lWTjEqdXeJN0AIT/0arPZ+vCDKDQoA+4WrI265R3vUWkeH7jWza7fyB1X7Wn/S43SxT1l5ry44UE7ANkxxyYeBz0bE+4CPACvK14+V/1Ve9yLgYxHxV5Typw8Bi8pfL2QOuXX/gs4/B3TsNzMzM53M/Byl3ZZ/CWwGbgbuB75BReUrM68B3gBcANwHbASWAZ+hNK1ZyIIJV8qaRLWO/UUfYeXpSzMzs0fLzHdFxGXA0cCWzNwcEbcAP55w3RUR8c/AscDuzLw3Ir4J/Hx8SnO2nJQ1N80RVsL5qCeu7ZfFvmf7AllsgBWn6KYYlTv1xsQb9ZTHWyl3GSp3vIL2WK6eLlloRsXHTw0K2wk+Zrn2xX7f5umvmakjVuu2SW/dod6tO/+PccrMfuAGgIh4LnACpZYYE68bBG4qX3cK8GzgwqLG4aSs+fgYJTMzszkQEacB5wPXlW86G3gz8LeZ+ZOK6w4HXg/8hNKOy9OBtwNfzswvFDUeJ2VNZsIxSusrvzbb6czxqtsdbbpVm5t29epib5OFBmBhr66C0NstCy2nrcTpHvNFvdpSmbJ/m7Ky2tGe8v5wKkPi0ytO7tPtsHhwp+6XwDJhb7iDwBDwB5T6jHUDtwCvy8xPTbhuGHgy8FpgMXAH8NeUNgAUxklZcxuYkJi5V5mZzUqr7qY1U8jMmyhVx6a7bjOlqUopJ2VNbGIbjNn2KvNCfzMzs+blpKwxBigtIqxLUb3K7tmxuIgwVT2wVfc2/PgjtItN796s+3FYvUx3GPGocCE+QFuLVlaC1j2qaGRM162oXbhBAeCBHbpdCjfcrNtIBHDK4xfKYisPgh8T/w5Q+vRVh0njv/8YafjCuU9ZA5STq42NHoeZmZk1D1fKmpj7lJmZmR08nJQ1N0mfsr7lumOWli3Q7b7ctld7xMr2nSOy2JsWtvD2yxalnqZTLpgfFW4cVU9HH7JE93P07KcIG7gBu/brXjNdHbrYi3rETflszjgpa0IVFbK+SW6fEVfKzMzMHhERVwLPnOTL387M50bE7wOvAp4CPBZ4APgO8O7M3FLkeJyUNaeezFxfZadlIZWzZZ27ZhtiUvtHddWswWHtu+R2YQlhca9uk4KypxVAu3DlqbIHmroipKxmKR9z0D7uyg0zi7WHejCkK/JJT8YYGNT+Ejhuzbzu6P9nwJIJtz0F+AfgK+XPX0fp4PH3AXcCxwHvAZ4TEU/IzL1FDcZJWXM7oE9Zg8ZhZvOE+lgus1aSmTdPvC0iXkOpqewXyzf9WWZurbjkqoi4DbgKeDHwyaLG46SsiVXpU7Z+wud1TWd6+tLMzGxyEdELvAj4amZuB5iQkI37RfnjmiLv30lZaymkw//AmO7g7R37dAvaD1+h6/UFMDCoG3tHu25eRD19qVzQrpylG1MfvD2iG/2CLt3cqPr18tiVuqmu2+7RPqerDtE9p5sf0j2nixa6u1WBXkjpGKXPTHPd+Dq0W4q8cydlDTZJtauv2rXTVc7MzMxsVi4EtgDfnOyCiFgMXE4pIft/Rd65k7LGO2Dxfh3J1sTK2ZQ8fWlmZgeTiFgHrKu4aUNmbpjk2sdSOt/yw5lZdXojIjqAL1CatnzaZNfNlJOyFjbTY5dGhZNG2/e0y2KrdQs3d65aWNjmnAN0tg3LYgOMZms+p9v3647MAVjYrZsH7O3QPaeDI9pf+xsf0vUqPHK1du61u1M3xdgvnGIcHm7d3Runn6ztP1lOwKomYVW8nNKqiqpTlxEx/rVnA8/LzN8UMsgKTsqamDv6m5mZzZkLgesz8/pJvv4x4L8CF2Tm9xUDcFLW3CQd/TtCtxC3X9gRu61NW7FRLoDetHeRLHaHuHO9+sBzlYWd2gpij7CatWdItxkHoKtd9zvgyEMGZLHVmzeUr/UVS3QVIfXmjdO6b5DF/sh1J8tiA7zwzNo2cEXEGcBJwJsm+fqHgFcDr8zMQteRVXJS1pzG14r1NXgcZjbPKBMysxZ2ITACfH7iFyLirZSStU8Cv4uIsyq+vDUz7yhqEE7KmtD4WrHZ9iWrEnf9tBeZmZkdRCKiE/gT4FuZubnKJeeXP/5p+V+lzwAXFTUWJ2XNrZC+ZBO1oVvMun9AV0c/4lDtobsjwqmR7o7WPTC4p03XY21kTLf4eUn3flls0B6boxx7e2jnuu7btVgWu39Q249rxULda72Vj+X61eApwuiN36SQmcPAY6b4+jlzNRYnZU3MfcnMzMwOHk7KGmcm68bq6ks2kacvzczMmpeTsgaZbN1YLd8zW9+68bAiwlT11BP3yWI/uFvX/wjgga266aiu1bqdoyGejhoTbnpVTl/eumW5LLaa8mirVj6Wa0mvdhnA0Kju9Tgyqntg+rUz9dz0O11sdZ+yVuOkrMkV2avMlTIzM7Pm5aSs+RXeq+zBB3Vvq27o0XVR79+nfZe8bKnunaxyka+y2gQwLKweKPUKD/UG/eJqpTFhtez+h3Sl1f4uba9C5XM6MKiLrXw+1a69UdtPsNY+Zc3CSVkTmKYa1jeHQzGzea6V/4CbzXdOyprDpNWwiLi0qF2Xnr40MzN7REQcDrwVOAN4ItALHJWZG6f4nrcBHwCuycyzJ3ytrRzvtcBhwK3AX2fm/61lPE7KmlxRi/srvelZtxcd8mGX//A4WeyTT9Qu9N++S1dCWLZINzWqXFgN2qlX5djbxY/L4EjrPqdKa1fpen1t2an9k6XcBNEpXM++dKF2qv7Bau1UC9IEC/2PBV4MXAtcDZw31cURcTTwDmDLJJe8F7ikfM21wEuAL0XEH2bmN6YbjJMyMzMzO1j9KDNXAUTEq5kmKQP+F/A54HFMyKEi4lBKCdllmfn35Zt/GBHHApcBTsrmiyJ2YY5PX96Xa4sYUlVH9emqWf374QlH7pXF37pDt0lhd792VXiHcP1zK69B6unSDV5ZVWnlthU79uj+rAwOaR+YJQt1D8yWbbpqVlu07q6TRi/0z8yan5iIeCnwJEpHMn25yiXPAbqAz064/bPAJyPiqMy8a6r7cFLWeAPACTVcV/guzFajTMhamTIha2XKhKyVtfLUqFmjRMRy4B+Bt2Tm9qj+g3QSMAhMXCN0U/nj4wEnZc0sMy+r8eDxPh9IbmZmVruIWAesq7hpQ2ZumEGovwNuAz49xTUrgJ2ZB9S6t1d8fUpOyprTAVWxcuJWSLXs/t2LZhtiUsrphd2D2n4zy5foSgjLF43KYifa0keb8MQA5TTdnv3aEqJyWndE93KR91fr6dLFHhzSxQbtc9rbq3vg21p39lK+0L+cgM0kCXtYRDwduBB4UpWE61GXUv2E9Zp/SbfwU3nQGcA9y8zMzObax4F/Bu6LiGURsYxSUau9/Pl4xWA7sDwOnNtcXvH1KblS1iIqpzlnOo3p6UszM7O6nVj+97oqX9sB/AVwOaW1Y93AMTx6Xdnjyx9vnu6OnJS1loFyYtaXmRfNNMiaJboF8w/tXiqLffcWbZn7d3f0y2Kf/oQFstj63ZGtuTK8s0P7wCj7tyk3b7SJn87tu3WxF/S05msRYIluczcD4mld49wqt10OtAP/nUcSsG8BQ8DLgPdUXPty4Mbpdl6Ck7JmMTBhsX9ftYvGG8kW1eHfzMzsYBcRF5T/e3r54/kRsRXYmplXZeaVVb5nJ9BR+bXM3BIR/wi8LSL2ANcB/xV4FvBfahmLk7ImMLFrfw1J18Qkrtb7WQ9wWPsD9X5rzTYv170d3LRD+3J94Tm6ysodW8WL8dt0Yx8Z1Y1dWbUZG4Mdu3WPy/CwLnaIy1nKthiHH6p7XLbt0j4uq1fqdlhs3qErf649VFsqu/s+XexG9ykr+9KEz68of7wKOKfOu3wHsBd4I48cs/TizPxqLd/spKwFKY5estalTMhamTIha2XuU2b2aJlZ909FZp4zye2jwPvK/+rmpKwFFNHNH7zQ38zMrJk5KWsNLdPN/54tupfUaX17ZLEBdg3MOu+d1IIe3apw9ZE8XcIF88qqTc8hutgAY/W/ua49doseAg/anlnLl2hf7CNjugfn0GW6qdEx4bhLXHWeK07KmlNNC//NzMxs/nBS1oSqLPy/tIgdl61SbTMzMzsYOSlrAUUv7O9vW1JkuEd54lpdr6/udu0unVN775DFvjZPlsUeGtEezNHToZt2GRVOAW7eqf31ptwgqeyBpp6+PO2IHbLYbSF8YIDv/mbaowln7LlP2CaLvWW/rj8kwNmn6l40xyzeJItdslYcv1g+ZsnMzMysCbhS1kBF7aqs1fj05Qx2/9bsqI47ZbH3tC+f/qJZuGPkOFnsnf3aw7GV+gd0JymE8LDzni7t4mTlz5H27AqtB/boKvFLerT9uA5ZrqtT7ButqV/WjAyMaH+//F7v9bLYi+/XzVAAcMz0lbKIOBd4L6XmsfuBrwOXZObmimv6gMk68i/PzJ2zHSo4KWu0ltlVaWZmNt9ExNOB7wDfBv4YWEmpx9j3I+L0zByc8C0fBL4y4bbCWgM4KStYndWvvll8b92cAJqZmT3Ku4G7gedn5ghARPwW+A/gYh7p7j/uzsz8mWowTsqKV3P1q8qOyjmpnH3t+sNksf/kCYVUcKvaNrhMFhvgoX7dTPIO4SHNyp5WAO3tumlAZY+1RQu0K9qHhPtOuoTzl+q+dspehY9bo9t0ArBske6H6cb7dYvxB8UHknesPkUW+5g12oaCNSxKOQv4l/GEDCAzfxER24AXcGBSJuWkrLHcj8zMzKxxRoFqae0gUG3b/Acj4mNAP6WzMd+RmTcUNRgnZQ1Uz0HkRUxtevrSzMwOJhGxDlhXcdOGzNxQ8fmtlKplld+zFlgNVNbDB4GPU1p/thU4AXg78JOIODMzbylivE7KmsvEylmlvsy8qIg76XtsEVGqU/ZAU1u+YOJ6zuLsXLhAFlvZLwtgrEVPWGkXN/zpEG54Gx6Z/pqZUo4bYIXwKKTOdu305dBIlyy2cjfwol5ZaABO6y6sEHSA3WinL8sJ2IYpLvkw8NmIeB/wEWBF+fqx8r/xOA8Cr6v4vqsj4lvATcA7gJcXMV4nZU1kqiaxRXT0NzMzs0dk5uci4gTgEkrJVQL/CnyD6tOXld97b0T8GPi9osbjpGz25mpd2FRVtJqMT1/ecofu3eau/sNlsc/ru1UWG2DziG4DxJPWbJHFVvb6AugOXQVxOHUr2ncMaau2I2O6Upy6c73Swk7d62VRu+7EEIAV3bpKWRu653RhcR0Zqvroj3UL/VNcin//MTWMIfNdEXEZcDSwJTM3R8QtwI9ruIugwBPbnZTNUj3rwoq8HzMzMytGZvYDNwBExHMprRm7eKrviYgjgacB/1bUOJyUzZG57t5fjRf6m5mZPSIiTgPOB64r33Q28GbgbzPzJxXXfYjS0ZQ/pbTQ/3HA2yitO/tAUeNxUjZ3mqZ7/2kn6KZdRoRNsx4ae4wsNsDwmG4F9PLO/bLYQ6mbcgHorLpbvCDCTQpR3IxCVV3tutX4nW26JQbKaVeAmzfpDvVevqh1NxK1C5cZtLetlMUGOPtUXex9Qw0/VGwI+APgLUA3cAvwusz81ITrbgJeD1wELAYeAn4AvCczC1tb46TMzMzMDkqZeROl6th0130S+KR6PE7KijfZgvy+2Qae7RRos1TqzMzM7EBOygo22YL86TYA1JhwFdKr7P6HdNN0Jx6um6ZTT0f1dgj7lI3ojljJ1DYqG2jrlsVWjl05vQjaaUDl46KcRgM4bKnu52hp94AsNmh3vXa06V6P+0d0P6MAuwYbuhz6oOKkrHlMu+YsIi6dze5OV8rMzMyal5OyFlJUW4xO4brKe7bpWkufvkZ32DnApv3LZbGVlY8xcaWsTVhZUR6OvaxHV7UF7WJ8de855etxQafupPZNexfJYgOsWKCrxG3dpduk0Nmhfb38Xu/1sti7F2s7+sNacfxiOSmbO9M1f+2bo3GY2UFMPd1tZjPnpGyOTFflqpawFd3bzNOXZmZmj4iI5wBvBR4PLKfUg+wnwPrMvHnCtX8AXAo8iVJ/stuAt2TmD4oaj5Oy5lGtklbYIeSVtu/ULWY9crXuXfj1m3THIAGEsIDQ26V7zEfGtJUP9cJwlUVd4hPJhcZSN3b11Ojd2xfKYreJn9LF3bo7GBzRxe7u0G5q+dWg7pilY7oelMWu0QrgWuAKSgnZkZQSr59FxCmZeTdARLwW+J/lf++l1Ej2VGBBkYNxUtYkqlXSfAi5mZmZTmZ+AfhC5W0R8R/Ab4ELgA9FRB9wOfDmzLy84tJvFz0eJ2XNbdaHkFfy9KWZmdm0tpU/ju9a+VNK05UfU9+xk7ImpjqE/M82v10RFoCdV94pi921pNAq8QHGhnRTADd/6Tey2KP7dVOjAF0rdL8mlGPX7r2EjkW6fn8je3U7O9VOf/JqWezlR6+SxQbo36zb4X3yY3VHIT3wyztksQEe98rnyWKPrTlKFhuAY2rbfRkR7UA7pe2alwGbgC+Wv3w2pcrZSyLiXeVrNgL/mJn/VORwnZQ10FwfUu5KmZmZHUwiYh2wruKmDZm5ocqlPwdOL///duBZmbml/Pljy//+Dng7cAfwIuB/RkRHZn64qPE6KWushhxSvuvWu2Sxb/zMDbLYZ3/wP8tiA+y67W5Z7OP/8HGy2J0LtXn9cL+ud1O06xY/3/H922SxAfY/qDuofWS3duF2xxLdr35lNWvxSSfIYgN0r9AtOh8d1L1eVp1ypCy22sgvfyKNX07AqiVhE70CWAIcDVwCfDcizs7MjZQW9S8GLsrML5ev/0F5rdnbIuIjmcV0XXRSVgdBZauvwFhmZtNSJmRmrSozbyn/9+cR8U1K05OXAq+jtMbsOOC7E77tO8BzgdXAA0WMwz+d9Sm0sjXbY5Pq5elLMzOzqWXmzoi4HTi2fNNNwFlVLh3vR1TY4lgnZQ2kWsg/nfbXXyqLfc7Tvi+LPfRAIW9EJnXbN34ri33UM/tksQd375PFBhgb1fW1amvX9Vg78x/+hyw2ACO644SkxM2+hn578/QXzdC+OzfKYgMM79H9LHUu1m1U2n3fQ7LYAPGnz5bF7n3wX2SxZyoiVgEnAJ8r3/RvwMXAc4D/U3Hpc4D7MnNTUfftpMzMzMwOShHxb8B1wG+A3cDxwF8AI8CHypd9A/gh8PGIOAS4k1IPs/OAVxU5HidlszTXOyhnw9OXZmZmj/Iz4MXAXwJdwL3AlcAHy4v8ycyMiOcDHwTeQ+k4pt8CL8vMzxc5mHmZlAkTpb4qtzVkB+Vs7P/bd8tijy7ulcUe2T8oiw3wlMsuksV+8Os/lMVu69D1ywIYHdbtGotO3a+gwd/8WhYboE049hA+p2PD2p2dG79znSz2Yaf1yWIDLDnpOFnstm7de3flaxGg99ffk8XW/XapTWb+DfA3NVy3G3hD+Z/MvEzKECVKykX5c1Fxa7Xk0czM7GAyX5OyVjRnFbcuYTWrf8suWeyxEW3nekK3AHrZMWtksYf39stiA+SYcKG/8B3+9pt1/fgAlhx5qCz2nvu2ymIDdPR2y2KvOPoxsthD4k0tOazbvLH/wc2y2G2dnbLYAPd8RVfpP/z1fyqL3YqclM2RGiphfXM0FDM7iCkTMjObHSdlc2fKSljl1KhqKtPTl2ZmZs3LSVl9BqqsK+sTxO7LzIsKinuAJcfqjuTYesvPZLE7e7Ul+uF775HF7ly5TBd72WJZbIAc0R2OrVzQ3rl4oSw2aKdeV56yVBY7R7WHnSunuwe37ZDFBui/U/c7YGHfEbLYQw9tl8UGOPKPzpXFFi9KaTlOyupQrdlrUYv/K2PPZZd/MzMzaw5OygQmmX7sqyNEtYrcrD08ffmU3y869MNOOPoYWWy1/mt1W/l33ak9jaC9S/ejrKx8qB3ypBNlsQe3aLuoK7V1d8li79+iq2atOPNUWWyA3TfeMv1FMzQgXOgP0LVcV12dzyLiAuBPgDOAQ4F7gC8DH8jMPRXXnQpcBpxNqcB3JfCmzLy9yPE4KdM4YP1YPUlWo45fstakTMhamTIha2XKhMwawwnZrFxCKRF7O3AfcBqwHjg3Ip6amWMRcRxwNXAj8DJKudO7gR9FxKmZuaWowfi3eYM04iQAL/Q3MzN7lP+cmZU9aK6KiO3AZ4BzgB8AbwVGgfMzcydARPwcuJ1SUveWogbjpKxxGnYSQNuvfiyLPbhrz/QXzTS2eJHv4vOeI4u9e+O/ymIP9Wt7Ynct1FVWRod03eX3PyCeLlq6SFTXoVUAACAASURBVBpfZUz4mAMsfbxuCcPg/dplAL2H6XqstfXoWpH0b7xPFhtg33kvlcXe3XWILDbAdGc0TEjIxv2i/HG8weRZwE/HE7Ly990XETcCL8BJWUuauE6sr0HjMDMzs8k9s/xxfJHhKNVPhBoEjomInswcKOKOnZTNXk1tMiauE4uIS+d6l6WnL83M7GASEeuAdRU3bcjMDVNcvwb4a+B7mfnL8s23Ak+NiM7MHC5ftxg4CQhKB5Q/WMR4nZTN0kzbZDRyMf/e2++WxV584rGy2Duf/2ey2ABLrv+GLPbCVbo+ZeojVsbEfa1UFh53VKOHMGNje/fKYneu0C5lVfa16zzzabLYAGM3/HL6i2Yo2nU9+RafoPu9CxDCA8l7Hywkl5lUOQGbNAmrFBGLgH8HRoBXVXzpw8CLgI9FxF9Ryp0+BIyvYSis3ZrusD8zMzOzFhARPcBXgKOB52Tmwwv1MvMa4A3ABZR2aG4EllHaDDAEFNa915UysUbsspzM+PTloqN1Hf3bDtEd0rzqtz9g23evlMUfOX6tLPaSs58qiw1ACnuJKStlwuoBwO6f/lwWW1kRamVLz3ySLPb9n/iMLDZA5wLdYvzFaw+Txe5asVwWG6B9ibYa32gR0Qn8X+BM4NmZecPEazLzioj4Z+BYYHdm3hsR3wR+Pj6lWQQnZXoN22U53ygTspamTMhamDIhM7P5ISLagM8Bvw88LzMnPSswMweBm8rfdwrwbODCIsfjpEzjUedYTvxio6pnTg7NzMwe5Z8orRd7P9AfEWdVfO2+cuuLw4HXAz+htOPydErNZr+cmV8ocjBOygRqOMeyodWznee+RBZ7ye77ZbFX/oG2E/nQLTfJYo89VFjD5wNEu/bHOLp0j3sO6XqsdfTqpqLUlIvC1QeS99+g+zla/czTZbEB2lYfrgu+d7cs9NAD2v5t9195rSz2Yb93gix2jc4vf3xH+V+l91Dq7j8MPBl4LbAYuIPSDs0PFz0YJ2VmZmZ2UMrMvhqu2UxpqlLOSZle1T5mPmbJzMzMKjkpE5uij1nDpjBXPHCjLHbsrHZiRTGG12h78ey+/Vuy2Ic8d7rDPmaho3V3RsVYYe19DtCbutgAo7t101FtPbr3ayl8zAHaV+qOKsplK2SxAYZ+8ytZ7M5DdMcJdSzWHvm19K/eL4vdsfUOWexW5D5ljTGAj1kyMzOzCq6UNUBmXlY5pTlXU5njlbnYqlsU2n/LrbLYPVt1i+UBlp9yvCz22JZNstjqhdvR1rrv3aS9xEL3uIwNag+Zl1q8VBZ6ZJG2Uta1apUueLfwV/xjj9DFBpYKO/oPiTv684wXa+MXzElZc3AvM7OCubmrmbUaJ2WNc0AvM3XFzImfmZnZI8o9yN4KnAE8EegFjsrMjRXXrAU+ApwKHAr0AzcCf5OZ35wQb7Ju3qdl5q+nG4+TsgaZpJfZnFTM7n3SBbLYq4+4XhY7bp329Twrgw/ophi7V+umRdQHkkunRyNkoQfu1z2foK3EKRfjq6ejFwmnADt3PCSLDTA2OKCLvWunLHZ7/x5ZbEC6majjDPERdNM7FngxcC1wNXBelWsWAQ8B76R09uUS4DXANyLijzPzyxOu/zTw8Qm33VbLYJyUNYfxqllfg8dhZmZ2MPlRZq4CiIhXUyUpy8ybgIsrb4uIrwN3Aa8CJiZl9091XNNUnJQ1gfGq2STd/wub1vT0pZmZ2SMyZ9Y7JzNHImIXpW7/hXFS1lyqNZoF6MvMi4q6k8Pv+XFRoQ4wequuB9rw3n2y2CDe8SacAlTvvkR45I/ycVEfszSyf1AWu61N96s5hLtGAUbWHKML/uuf6mIjXgowNtlSo9kb3bNXFhugY/lyafxWUT68vA04hNL05fHAG6tc+vqIeDMwCvwMeHdmXl3LfTgpayLVGs3C5BU0MzMzmzN/C/xl+f97gZdk5vcnXPNZ4GvAA8Ba4M3ADyLiP2XmldPdgZOy1jBZBa0u49OX+x5z1GxDTWpgzRNksXe06TqFA7ShW1y9fUjXu6kttB3aR8Z0lZU23Tp/PvpJ7aLwt67TdVFPhA8McNtWXeXjOQt0lXie+ge62MCmBboqX0eMyGKrXy9r/+Pzstj3r3myLDbA8RHrgHUVN23IzA0zDHc58EXgMOBC4PMRcUFmfm38gsx8RcX1V0fEv1Paqfk+4Ozp7sBJWQuYrIJmZlYvZUJm1mzKCdhMk7CJse6jtPsS4GsRcSXw95QqY5N9z57ypoCLJ7umkpOyWWrEweIz5YX+ZmZmhfkl8Oc1XBdATYsKnZTNXst149/XvUwWe+WWW2Sxt686VBYbYOfwYlnsnvbWPTanu123QDlTN+3yV6/rksUGaI/90vgqpx6mHfcWhMsjxrSbN7b2L5HFXtHbL4s9MKJ9rcdXfiiLfZj6mKU3XS4JW170fzYw5YnqEbEEeB7w81riOikzMzOzg1ZEjHdUP7388fyI2Apszcyrymu6VwDXAJsorSm7GDgTeGlFnEuAxwE/5JGF/peUr39ZLWNxUtZAcz312WoVPTMzsznwpQmfX1H+eBVwDnAdpWnKlwBLKSVm1wNPz8xrKr7vVuAF5X9Lgd2UErmLM/M/ahmIk7LGasjU5x2DuumFleimL7cN6KYWALbv002NnLhSV6JXTgGqTX5M3OwdMnDf9BfNwlDnAlnsBfu3y2KPdGjfB27seJws9hF5lyw2QNuCNbLYyt2XY+3a3nNH/tG5stj3nvkSWWwonYc0nZzml2hmfgX4Sg1xvgp8tcahVeWkrEUUUVVzpczMzKx5OSlrHYVV1brade/Ydq88Whb78E7tAdOdwj5oygXKo2PCjvvA0Jju10Rnm66j//J27eLnrhHdgvn9Pdq2FW2pe9wXtOsel/42Xb8/gPYx4QkTwkqZuleh0pr7a1r/PnPHrNXGL5iTMpEaK1t9dXxP3yS3m5nVTJmQmdnsFJGUFdJtvmB9jR4ANVS2qjxuk35P5bUzncr09KWZmVnzmnVS1ozd5pswSSxCZfI7qwPKu9p0ZfSuIV0vnl7hIc0ACzt1x+bsH9FNXw6Lpy+VR7iMpfAIJ7QVobYx4XSUcFq3fWxYFhtg26BuQ87RndtksQEG23SbIDrR9Spc0r5HFltNfczScdLoxfP0ZYuoTH7nadJpZmZ2UHNS1lgTp377Zvh9NfH0pZmZ2eQi4lvAc4D3Z+Y7J7nm45QOOf9cZr68yPt3UlZhhmu1+mZ6fxOnfmtNtGY7ZXzk6JSnQsyK8ginnW2HyGID7B/WTTE+tlN8lIiQcmG4cmq0d+cWWWyAtuEBWezeUeFj3tEpiw1w2KGHyWJ3Dg3KYgPsy15Z7N6OfbLYyp8jgHuExywdvkbXNxOoa/dlRPwJ8MRprnkqpe78u2c3sOqclD1a3W0n1FOJRXb9d6XMzMzsQBGxDPhH4C+Az09yTSewAXg/8FrFOJyUNb/Cu/6PCPs3Ldlzvyz2pkW6btsAizqFfadioSx2G9oeRe3CjSGjqfsVtHWFrrM8QIauOtE5qq0IjbbpqmWLh3WnESg3VwCs6hBWtIU/piHuU6bbotBU/ha4KTO/EBFVkzLgzUA78CGclB0Uqq0V62vAOMxsnlImZGatKCLOBi5kiqnLiDgGeCfwvMwcCtGbMidlTaTaWrGIWF/UFKanL83M7GASEesoLcoftyEzN1R8vRP4OPD3mXnrFKE+Bnw5M3UL7HBS1goGgBNm05dsouF23YL2bcuOkcXeulvXRwxgZa9uIe6Sjp3/n73zjpOrrvr/+8y27KZseiEJbEjoIoSOUgXpxYKIKAiCEeTx8VFB8MGCIvo8NrA8qFEUBRSEn4UqTRIQRBEMJURqQglJ2NRN2zZzfn9875DJ7OxOu2dnJjnv12teM3Pvdz73u7Mzd84953zPMdO2Jml4mmhUu2T5oV2rzLQBUoZ182q56n7HELsFOc0968y0AToThmkGYvc/7VVb7+d2hg3JrRtERQbY7AGGXAw0E/LEciIiHwH2BXaOd3Z9sW0t75RN5D1bVOl5OI7jOM6WhIhsC1wKfAloEpGRUcI/Gc9bge8B/0tIMUqPSQAN0fPYrGL3lNUGsbSy8vCl4ziO47zF9oTUoOtz7Lswus0ExgHfiG6ZTAVOBd4L/DGOCblRVgPE3cpqWKddq5KVzXYrJIfU2668miKvmGm3rLNckWbbNidpuFpXUnYhnSUjbFdfNmEXerUMGVszZt2rZtqasG0pNmK13Tmglpmzy2fMtA/piMWWKZV5QK7Y7AMEQ+0a4MV+xtwIPE0Iez4T14Rq95u/leB1yhzHcRwnflR1NTAne3u0svIVVU3vyzWmE1iWMSYW3CirfmKvU9a40S7pvKPRLg9yUotxM2JazLQbDGug9dbZdVEAENROW+3SfBvFuNaXYY016wrtlv/T+h67BTPLR84w0wYYafh53NjUaqbd0Gv7WZ8pT5vqO5two6x8+sv3aitWqB+vWNE6juM4/WFpkDnOloCq5r0qUtU2i2O7UVYm/eV7lZiY38crlqlTbijTw5eO4ziOU724UVb9ZHri2uKoV7Zo1N7lSvTLaDFMaDeu3TRmxfNm2huHTzDTrk9tJU1QiqRb7erxATTrejPtdYww024Q24Uha0ZMNdMe3mWbwtBTb9eQvKnbrsZao6E2wMbm0ab6zibcKKtyMj1x1s3PHcdxHMepHG6UDSIFhB/b8kiUVa8sM3zZqjYeraQ0MOGNf5lot096O63rDBsGA+1jdzHRHda1kpTYLOdPaJJuwyv8xt6N9NTFsgC4Dw3JTnoTdiU3Jq570Ux7zdBJjF6z0ER7XesebLPRZu7tLdsxYe1LJtoAa4eOZ9RKG/2NwyfQ3LHURBtgfetkU498U+caE11N1JEy7mn6r67dTXQPwe6zWIu4UTa4DLiSMp/BFVe9MiuDDDAzyICaNcgAM4MMMDXIADODDKhZgwwwM8gAM4MMMDXIADODDDA1yMA2RcLKIANq1iBz+uJGWZUSZ32yNJ7o7ziO4zibEJEphP6X+wB7EPpgTlPVRQO85guE6v4Pq+pBWfvGAF8GTgQmAUuBO4Cvqmp7vvm4UVa9xF6fLM34hY9ayJrTM2Y7U/01Kbs6QsNSdgnKDeolDnKxrmWcqX5dyq7DRNKw2bllbTiAoWJXY22DccJ5wrDDRMcIu24n1nXtZia36DplMwitkh4HHgKOGmiwiGxP6Jf5Zo59AtwK7EgwzBYAuwKXA3uLyDtUBz5hu1FWXWy20rKC83Acx3GcrYEHVXUCgIicSx6jDPgxcAOwE31tqB2AdwCfUNXZ0bY5IpKKXrcj8NxA4m6UVRFZKy0viXu1pYcvHcdxHGcTqoW7jkXkdGAv4EPA73MMSSfJdmRtT7fRSeQ7hhtlVUrcTcgzeWDcR6ykGTnErp3QuEbbGkUNaheOeq3Brj2MiG34sjdld5pIiF0orbPHbhEB2IaMkr122nXGnxdpaDPTHi52LZwA6usNQ9LYLfbZ2Gu3GAdgZZfdYqJaWX0pIqOAK4HPq+pKyR2mnw88CHxJRF4E/k0IX34ZuEtVF+Q7Tl6rzXEcx3EcZyvn28DzwLX9DYjyxY4jhCgfA9YCfwdeBt5fyEHcU1bFxL0CMx2+nDxsVVySfVhveMXW3j2GkY1rzfQtewIm1e4qGYVk/lZtVYkavi8NiSTdhl6+OrFLCq8z/ndaevlGN9qVfhjRa1fOB6Cj3m4hQTN2Xr66ettuJ9s12ZVoWTx5fzNtgB1FZgGzMjbNzsj3KggRORg4E9grX6I+8DPgAOA8QqL/LsBXgVtE5MR84VI3yqobsxWYtYilQVbL1KpBZo2lQVbLWK/Uc5xqIjLAijLCcvBT4BrgdREZGW2rB+qi5xtVtUtEjifkmx2pqvdH4x4UkZeBewhlMv400IH8rFUl9OMVayvxdTlxA89xHMdximaX6HZejn2rgM8AVwHpKruPZY35R4aOG2U1Qh+vWIGrL4v2pq3oHF7M8KIY12wXumjAtvG2il2KZUe3XVi3IWEbuuhOWoYAbWtmWdKpfvrMhRg2U69rtP2sd/QYnhsbOs20W7BtSO5weI5tVwF1wKeAdHw33XJiP+C+jLHpGO3ifAfys4odufpUtsWgkU2xmo7jOI7jRIjIKdHDvaP7Y0WkHWhX1bmqOifHa1YD9Vn7fg9cAfxaRC4nrL7cGfgK8Brwh3xzcaPMiFwlLYqtO1ZIWYxi6pl5+NJxHMdx+nBz1vOro/u5wGGFiqhqh4gcAFwGfJ7QZmkJcBtwmarmdWm6UVbjlFLPbPqQRQYzCbSnJphpL9k4ykwbYFxLdr2/+Bje0GWmbR0AbK7vMdNWw0UKljXQAHrVLtxdy7WKxjYsN9PupslMG2wXh6xM2q3s7EraNiSfjt0iq8mL/26mDcD0/O35tIQTkaoe1s/214BzitVL40ZZBclK0m+r4FQcx3Ecx6kwbpRVlreS9AcKQcZVryx9rA0Ju2TW0djVEZJm20rkCcM6ZT0pu3pc9h4hO2+WaXkGTTCd5+30DelsGGaq35C089x2MtRMe0PSrrI8wKhGO2+5ZR3EpoTtIijsnOVOFm6U1QZer8xxiqRWDTJrLA0yx3HKw42yKmOgemXleszcsHMcx3Gc6sWNsupjoHplsXjMWnvsEnHXNdgl4zck7JoFAyQNE7dHN9nVbzNt4QTUi937bhm+XCe2C0O61S7pvA67elxd9bYhwGG9q820t+tZZqYN8FrTDmbao7E771qGRp3BpZYX+WxNpOuVtVV4Ho7jOI7jGOGesuqhX8MrXfaimJpkufDwpeM4juNsjogcDlxOKB67EbgDuFBVl2WNGwV8G3gP0Az8DfiMqj4d11y2VKOskEr4uWiLeR4Fk2F4XZZvTLk0ddvVnGltf8FM+7VtDjDTBkgZtlkawkYz7VTC1uFtWUtMxC7ssjHVYqYNtiGjXsNTcy2HupY3TzXV7+m1q/e1vt6u/VQ9tqkd87tmmGkfwktm2oUgIgcTmoXfDbwfGAN8HbhfRPZW1a5onAC3AtMIrZVWAV8AHhCRPVX19Tjms0UaZaUaL+V4oQok21hsMz6e4ziO4zj98xXgFeA9qtoLICL/JjQRP4dN1f1PAg4C3qWqD0Tj/gYsJFTv/884JrNFGmXVSraxmM8IjKs+WcbxLwNYNWxyXJJ9eFX2MdOeaFgDDWB1t139tjZpN9NOJWwT/S2T8S29NqvUNtHfyU1Dr51XuK7e7jsK0JCwK8g1NGVXA60rYesV3sI5ALgubZABqOpjIrICeC+bG2VvpA2yaNwaEbkNOBk3yrZYMr1pbap6VgXn4jiO4zhbMkkgV/XdLuBtGc93A57JMW4+cKaIDCukt2U+3CirMjK9aeUm9ufQjk3LcRzHcaodEZkFzMrYNFtVZ2c8f47gLct8zXaEZuKZrtPRwKIch0iHcEYBbpRtycSV2J/NwnV24cv9u+4309Zu2zDdpIRdku+a4XbveZfY1p1qyHkRGQ+WodElq21DXWLYIaqWGTdipJn2xOW5HBXxkapvNNOu7yz797pfOsZsb6YdmGSsb0dkgM0eYMj3getF5OvADwjG12wgFd3SCOTMt4j1TOB1yhzHcRzH2SpR1RsIqy0/BywDngUWA3cCSzKGriQYbNmkk1dXxTEf95RVAXEn9PeHhy8dx3EcZ3NU9Usi8j/A9sCbqrpMRBYAf80YNh84KsfLdwVejSOfDNwoqxYGteH4pBa7VYwb68ebaVuvMqxL2a28WpEaa6ZtTW+q1Uy7LmHXTmi7EbardZOGgYZarQ0H0NS7wUw72WAbql/ROs1Me8KyJ820O+uHmmlbs3jy/qb6hTbOUtX1wNMAInIMsDOhJEaaW4GzReRQVZ0bjRsBnAj8Jq75ulFWWXJW8bfynLmnzHEcx3E2ISIzgWOBJ6JNBwEXAd9S1Ucyht5KqOB/vYhcxKbisQJ8K675uFFWQQao4m/qOXvsdbukzX2nmEkzDLs6PwBj2xeYabdOsPOUWXpVAHrqDJOfjSuRW9Ktdu+LpQfRmh4MG7UPsauKD9DcY9ftJNVoV0ssobafl5lNsXUR6sPwxcYV/advl29EN3AcoQBsE7AAOE9Vf5k5SFVTInIC8B1C7bIhBCPtcFV9La7pulFWHXilf8dxHMcZZFR1PsE7VsjYlcDHopsJbpRVAYVU+o8jpOnhS8dxHMepXtwoq05yNVSPrbr/+BF2Ce0TOheZaS9q2NlMG2BU4yIz7dW9drWbRtXFshK7X3rV7jSRMkyW7zGcN0C92IWMetSuZp41QzvtFlisaZlopm1NfUuuagrxUMtN5qsl0b9acKOsCslVNHYQmqU7juM4jlNB3CirHXJ5z4rCw5eO4ziOU724UVYjxNly6V1v/iouqT70jLZb2blLcq6ZNkBv0zAz7el/+LKZtiRsV1+O6jZcIWk49971G820ATRpF77UlF04yvrz0nL44WbaTcOXm2kD1L32opl25w57mWkPW/qcmTZAx6RdzbSvnWsbkr5iuql87LhRloPBqrA/2LinzHEcx3E2ISJTgIuBfYA9gGZgmqouyhr3jWjM3oR2S2er6rX9aH6c0LZpGqGJ+ZWq+pNC5uNGWW4GtcL+YLN26u5m2s/J28y03975SP5BZZBI2jXeXnfyuWbayYTt19iyQntvwq7WlzWW7/uQbrt6WQC99XbXnKlH/mimnZhm+3npmrGnmXbjuhVm2qnm4WbaWwEzgFOBx4GHyN1KCeBTwDzgduDM/sQig+ynwDeB+4AjgKtFRFT1x/km40aZ4zjOVoSlQeY4NciDqjoBQETOpX+jrDUqIDuDfowyEakHrgCuU9VLo80PiMg2wOUi8nNVHbD8gRtlRVDrYc0t2fvnOI7jOMWiqqkYxx0IjAOuz9p+HXA2oUjtAwMJuFFWHFtEWLO9aaqZ9l5L7jTTfv3qa8y0AaZ+/MNm2s2G3om63k4zbQBJGSa019nV40oZh3XrO+3aflm+Lyp2teEAElPazLRTr9q25GkaaVvzzwod3mqq37roPjPti1dfZ6YduMpYfzN2i+6fydo+P7rflTxGme2303Ecx3EcZ+sgXSE427pfmbW/X9xTVgEqFQbdErx8juM4jlMoIjILmJWxabaqzrY6XHRfck0bN8oqQ0XDoG3L/mamvW7MNDPtbc893UwbIGUYMqrrsa2ZZYkk7dpyWdLdPMpUv2uIXeusRMruPbcOX9b1GIbT23a00wY2jJpspj1k9RIz7VSj7TX+G7feYKY9cV/b9nmRAWZlhGWT6RHL/IePztrfL26UGdOPV6xtgH1muKfMcRzHccxI547txuZGWbr67rP5BNwos6ePVyyjXVJFPGaLJhxopt328M/NtHWqnRcOINFl6M1K1JlJa52dNoAYVq4Xtatc39hlW+vL1LNqWDMPICV2n5lnx77LTPttr9jVQANI1jeZaWuDXY01NTy/AGx7kl2XhtRk2/P6IPM3YDnwYUKNsjQfIXjJHs4n4EaZ4zjOVoSlQeY4tYiInBI93Du6P1ZE2oF2VZ0bjTmUUO4i3RdqHxFZB6Cqt0T3PSLyJUKx2MUEw+xdwMeAT6lq3qstN8oqQ7q5+Ikitn3oMvHwpeM4juP04eas51dH93OBw6LHXwUOzRhzQXSDTQn+qOpPREQJbZYuAl4F/kNVr6YA3CirAOnm4iJyWCUMpVG9b5ppd860c3MPeexeM22A3t33N9Ouf/5JM+1Eo3GrIssLB8MaaE2jx5tpA5AwTJg3DBmb/j+BHcYUVIuzNAqr81kyzR1LzbSlxy4knTB+X169dcDSWmUx5fzKhy9VNe+XQlUPK0Lvp4RWS0Xjdcoqy6JKT8BxHMdxnOrAPWWVZdFAO+NenenhS8dxHMepXtwoqyydGSsxc9GmqmfFfdBRi5+KW/ItNo7dzkw71WNbL6thTbud+FjDUJpxOMpy1Zj09pppY7maFiBlGDKqt1vZaRkyBljRaheOGtlgW0FoyMrXzbR7h48x065fv9pMG4xXX5op1yZulFWQdG5Zf4jIJXmMtmKPF5uW4ziO4zjx4kaZAVlhx7ZSdfIZbaXSOXqKhSwA9Q/ebqe9/XQzbYCN4+2u8JtfX2CmjaW3CZBOQ4+ToZcvueQNM21zEpaLK+xqwwGMnn+lmXb9YUebaQOm9QTrOu3q5kmvbV27NXseaaY9vN22yXyt4UaZDW8VhY3T0+U4juM4zpaLG2UVZjBbLXn40nEcx3E2R0TeCXwF2JPwe/wi8CNV/UXGmCHA5YTq/COBecDFqvpgnHNxo6zyDHqrJcvm2MmDjzfT7jJsgQLQ1TjMTLv+xRfMtNWyplUNUzfc7v8JIIb14aTO7tSsvbYLZpr2s2vjtnJUm5k2wMjldt/TlOEiBdMFM8b0/vMR2wMccuqAu0Xk7YTK+48CHwc2AKcA14hIk6r+OBp6DXA8oSDsy4TCsXeLyIGqOi+u6bpRtjnp1ZBtcYrm8YbFeizHcRzHcQrmNKAOOFFV10Xb7hWRPYAzgR9Hj08HPqaqvwQQkbmEBuRfA06KazJulGWQUWn/spil+/WGpY81GGHM9Bw6h441O8awJ+yq7jcBa/c+xky/3rAJdMMUu8UVAIhhHegaTjrHslm7pbZhuQ3rxm69LSPMtEesftVMG6DuTbuSGHVD7d4XVtp1aQFoXbzQTNt2iUJBNAI9QHYIaTUwKnp8UjTmpvROVe0VkRuBSyKPWlcck3GjrPK85Z2zqEm2JWFpkNU0lgZZLWNpNDmOs6VwLXA+8AMRuYIQvvwAcARwRjRmN2Chqm7Ieu18glE3I3pcNm6UVZgM71ysNcn6OZapvuM4juNUEyIyC5iVsWm2qs5OP1HVZ0TkMOAPwCejzT3Aeap6Y/R8NLAqh/zKjP2x4EZZlWBVkywXdX/4wSLIdAAAIABJREFURf5BJaJTJ5tpD2t/0UwbILF6uZl2cpJdpwNzLD1xho2UE53rzbQBxHCBhTYYLmpJ2SaF99x3p5l28847mmkDdLftaqbdsOBxM22x7BgCsGqFrb4hkQE2u7/9IrID8P8Inq7zCGHMk4GfiEinqt5AiPrnyrWIPRvAjTJ7OoGdKz0Jx3Ecx3H68A2CZ+wEVU0vTb5fRMYA3xeR3xI8YtvmeG0652xljn0l4UaZMar6P4WEJQcz0d9xHMdxHAB2B57MMMjS/IOw4nI8wYv2XhFpycor25WwViG2MI4bZYPMAMbXoCX6v3yvXUPy3c6daqYtxg2meybZtVlqWGTYZsm4ITmGNbNIGobSWobaaQOp5XYr3hKtI820Ma5r13SwXfNqlr1mpw00vvacmXZyul1otO4Nu9WRWwFLgT1FpFFVMxeD7k+IdK0EbgW+SlgA8CsAEakHPgjcE9fKS3CjrBLkLI/h7Zgcx3EcZ9D5EXAzcJuIXE3IKTsJ+BBwZWSozRORm4CrRKQBWEhYsTkN+HCck3GjrHroHKzVl2/79Glmx1i166Fm2vXXf99MG2DYzjvYiY9otdPuqYJKP6XS0GCn3dMNjYZV1LedbqatxmVOJGlX1X/VxF3MtMesjS11JyfdLzxvpt1o+T8dOcZOG1izzW5m2s1LrjPTLgRVvUVEjgMuBn5OiGS9RKjY/9OMoWcDVwBfJ7RZehI4RlWfiHM+bpQNDpkGV1uuAYO5+tJxtgoMDbJaxtIgc5xaRFXvAu7KM2Yj8NnoZoYbZYNApsGVyxs2WE3JPdHfcRzHcaoXN8qqg0FtSp6caJeMP6xjsZl2x5mmFyjI838109YWu+bYosatimqUnuG2IZ1Eb2y5vYOLNJvKj1hjl4yfWrbETBugft93mmn31ts1sK9bv9pM2xlc3CgbfHLljrVVYB6O4ziO41QRbpQNMrlyxwYrpOnhS8dxHMepXtwoK5N+jKe2ImVyes+s6pbVvfKChWzQNmwCPXLVI2baAKld9zTVN8Oy1heYtkKybOEkKdt6XKZtluoNV6Va/j+BNa25Cp/Hw5g223Y/vY12oV2ts/uf1hmv1nUGDzfKyqdPPlixpS0K9Z45juM4jrPl4kZZ9RJ73bK08ZjaYNeo+bXDPm6mPaLH9ip52N129XIWHf95M21V24r+vWrn/UyInddmYvJ1M22AhKEnTrD1Zil2npXehF1C++ptdjfTBkio3f90aMcbZtpdIyeZaQO0zrvPTDu1zzvMtAtBRKYQapTtA+wBNAPTVHVR1rj+VlTNVNV50ZjhwDXAXsAkQk/N54Afqur1hczHjbIqxeuWOY5jgaVB5jg1yAzgVOBx4CHgqAHGXsvmBWUBMisONwK9wDeBRUAToRXTdSIyTlWvzDcZN8qqEKu6ZZ7o7ziO4zib8aCqTgAQkXMZ2ChbrKqP9rdTVVcQmphncqeI7Ah8DHCjrET6Cx22DdLxbeuWzbBrjDtu/SIz7ab1tuHLup0N35deu9BFMmH7NU6JYfjSMFykGDdqNySZMEz0N6ZO7RaerGkYa6YNMHajXY01y04KYrx4w5LFk/c31c/XPE91UN68FQSvWV7cKMtBf6HDYnO8yvB4tZXwGsdxHMdx7DhfRC4CksCjwFdU9aHsQSIiQB3QCrwfOBo4p5ADuFFmS0keLxG5xGL1pYcvHcdxnK0JEZkFzMrYNFtVZ5cgdT1wO/AGsB1wEfAXEXm3qs7JGnsB8MPocQ/waVX9dSEHcaOsCrFO8rdcqVN3zy1m2h0nnG2mDdDa3WmmPfKVJ8y0SdiFF80xbBHV22ob6lLLGms1HI6qX2HXCmlIm20tweYOu7knhww307Zu+TVnl8+YaU/HtnVWZICVYoRl65yR8fQhEfkT8AzwdeCgrOE3ETxpY4GTgB+KSFJVsxcJ9MGNsirEE/0dx3Ecp3pR1bUicgc5wpKq2g60R0//LCItwHdE5BeqOmByoRtl1Ylpon/zmwutpEnte6CZ9qjFT5lpA7DRrn5b55RdzLSdyiApu4R2NV68YVnVX8dNMdO2pqd5pJn2+qHjzLSHrm/PP8ixQIBC3P3/BD4KTAAGLKDoRlkFGcAj1jbIU3EcZ2uhhkOjjlMtiMgI4Hjg7wUMPxRYB7yZb6AbZZUlp0csM8k/zlCmhy8dx3EcZ3NE5JTo4d7R/bEi0g60q+pcEbkQ2Al4gE2J/hcCE4EPZ+h8AjgAuI/gERtDKEx7CnCJqnbnm4sbZdVJZp202BuTp16zC18m37afmXbHiG3MtAFGPnW/mXZ911oz7URv3u95efTa1VfSBruWPD0to820AXobW8y0E4Y1rTCsOwdQt6HDTLvJsKk3QF2n3fe0ud7us16XtD0HzBz6tJl2B7YLcgrk5qznV0f3c4HDCK2S3hvdWoEO4GHgHFX9R8brngZOBr4DjAaWAwuAE1T1jkIm4kZZFZK5+tIbkzuO4ziOHZqngbCq3gbcVoDOI8Bx5czFjbLqJ7bG5B6+dBzHcZzqxY2yQaCchH6LmmWr3/n+uCXfYviff2WmPXLqtmbaAKkNdqsvJWXXTsgabYy9OsugsL5ljKm+ZfupWm1tBdBbb/d5Gf7vR8y0Abrb7FqtDelYZqatNVyr8OkVU031d5huKh87bpQNDv0l9N83mOFJ95Q5juM4TvXiRlllqa+EobSiboKZdut+B5tp8+rzdtpAYpzd+7JmpN3VoGVleYCmLrvE7d6GZjPtzvqhZtoAedJQykLErtMB2CbLj33zX3bixp/1xteesxNP2f1PO6ftbqYN0DrvPjPt3fezTvTfzlg/Xmw/4Y7jOI7jOE5BuKfMhnRyfluecYvArq1SNh6+dBzHcZxNiMgU4GJgH2APoBmYpqqLMsZsB/wA2BMYD6wn9L38X1W9K0tvCHA58BFgJDAPuFhVHyxkPm6UGZBOzi8gX2xRdG/aVimbkbrCTFsMm3oz1K6hL0BqmF2LlWTCNmRkSVfTCDNtxS4EOGrdYjNtsE2uThm2WUoYtocCSLbYfV547hk7baC+zS4rPLX4VTPtIb1PmGkDrNnzSDPtyYsLKYhfBtPzhi9nEAq8Pg48BByVY8wwQs2xLxKKwo4APg7cKSLvV9XfZ4y9hlDp/yLgZeAC4G4ROVBV5+WbjBtljuM4juNsrTyoqhMARORcchhlqjqfrMbjUTPyhcDZwO+jbXsApwMfU9VfRtvmAvOBrwEn5ZuMG2WVpd8wp0VI08OXjuM4jrMJ1dKawapqr4isATLbb5wUPb8pa9yNwCUi0qSqXQPpulFWQfKEOc1CmiPX2LnRWWS3QlK3tS04k3jjFTvtCTuZaVu3WDFF7MKX1nQ1DDPTbkjapQFYhkYBEoYpDKk9DzTTBmDlUjPpxKQpZtrJUePNtK1ZPHl/U/0dYtQSkQRhgeRYQvhyR+DTGUN2Axaq6oasl84HGgmh0vkDHcONshqiXO+Ze8ocx3GcrQkRmQXMytg0W1Vnlyj3LeBz0eN1wGmqmtk0eTSwKsfrVmbsHxA3yqqDXK2U2nKMi8V7Vv+8XR0hGWnXBDr16ktm2gDatqOZdn2vnffAukK7aR00w3JcDYZN4AGktKhHQdT3bDTTBttFCgnDhuQJ4zplphh+XuqWGUY/AAzrLFoTGWClGmHZXAXcCEwEzgR+IyKnqOrt0X4h91mt4JCAG2VVQK5WSmkjLcs71jZ4s3IcZ0ukllvyOE4lUdXXCasvAW4XkTnAd4C0UbYSyNUPcFTG/gFxo6z6ecs7JiKXlNOWycOXjuM4jhMb/wT+K+P5fOC9ItKSlVe2K9ANvJhP0I2y6qXPysy4mpOv2/OIOGRyooZNIkYsedZMG4A37epa1bdONNNO1dl+jWu5mbolliHGpGFT70RywMVf5dNlF6rX4Xa1BAGoN/wuGYZepSNXGpNjSZT0fxCQmVdzK/BV4APAr6Jx9cAHgXvyrbwEN8qqliIK0DqO4ziOUyIickr0cO/o/lgRaQfaVXVu9Ds8GngYWErIKTsH2I9QlwwAVZ0nIjcBV4lIA6GO2fnANODDhczFjbIaIY66ZR6+dBzHcZw+3Jz1/Orofi5wGPAEIUx5GtBKMMyeBA5W1YezXns2cAXwdUKbpSeBY1S1oLYLbpRVP2+FMVX1rDgEh7/4WBwyOVmzwwFm2qyxddHrWLsQY09ji5m2ddsc0/Co2i2/bLBeqWe5mq57vZm2dW245LjJduKG7zmA1tm1Q6vbuM5MOzV2kpm2NVXQZglVHfBLoaq3EkKThWhtBD4b3YrGjbIqJyOMWVaSf6RV1usdx3Ecx7HDjTJb+m2jVCxxJfkDrNzp4Lik+vBKqs1Me8ZOth6hBkPvRHOHXaVwMfaU1Spi6IUDSBl6Vda32nmbmjcsN9MG24UhiTUrzLQB6O3JP6ZU6Qm5KiXEQ3376/kHlcPoNjPpWqroPxi4UWaIJ+s7juM4jlMobpRVIRbNyMHDl47jOI5TzbhRVmH6McBiS+rPReuKvPXrSma3piVm2o3tr5lpAyzZ4TAz7UkL7jXTxrpCe8IwYT5lmLhdbxdeBBDDmlbDu7L7GceHJO1CdAC9w8eYaScsP4tAyrCxd6LLrq6dDjOu3+YMGm6UVZ4+/Sw93Ok4juM4Wx9ulFUnuRqUl03a+Htjwt55RpbO+DUvmGl3jW+ju2m4mX5dys6DYHkFDqCGZQ40YXeasF6kULfUzrsqLUPttJOGJTHAtBRJXX2TmfbaqbubaQMMXW2XMN85YoKZ9pDVdhEKgNZ595lpd+x3mpl2IYjIFOBiYB9gD6AZmKaqizLGXAZ8pR+JLlWNLd3IjbIqJM6VllsSlgZZLWNpkNUylgZZTWO8KtVxaowZwKnA48BDwFE5xvwc+HPWtqHRtoLqlxWKG2WDSH/5YwWMiQVP9Hccx3GczXhQVScAiMi55DDKVPV1YDM3qoicQbChfhXnZNwoG1wKyR/rMyZuktglhi9p3dlMW7H1CE1aaxd6XT9qqpm2ZWNsALWsjG/o5Ws0DLsCJAyT8U0Xbxgny1uG6VLG/9PeIcPMtC2/p71DbRP9Gw21K13RX7XkNhEfBZYBd5f4+py4UVYcuXK92iowD8dxHMdxKkCUh3Y4cJWqxpoY60ZZEeTK9RqMlZJxhTQ9fOk4juNsTYjILGBWxqbZqjq7TNkzgAQxhy7BjbJqINv71pbDCIu1bpllGLCBbjtttdMG2DjELgQwrGOxmbZlWxtzLFeN1lsGXaB7yAgz7USyy0wb40btPfXNpvqWdDWPMtNW7N739U224cuWPUebaQ9vf8lMGyAywMo1wrI5E/iXqj4Vs64bZZUm2/sWGWib5ZV53TLHcRzHqTwish+wM/BfFvpulNUGsdQtSxt6q7rtrvDfvuYBM+11I+2S5QFSYpdc3bDSsI5QnfHX2DIxPGns5Ss5hzc/tv0CahcZbVfvL9nQYqYNkDCsVZjo6TTTbuxeZ6YN0OXliDL5KNAL/MZC3I2y6qOTYIW/hdctc5wSMDTIHMfZ+hCRRuA04E5Vbbc4hhtlVYaq/k+2V8wT/R3HcRzHBhE5JXqYbndzrIi0A+2qOjdj6AnAaAwS/NO4UVYbxFq7bNEKu1o8u7XYhReGr1xopm1NamirmbbWGTckN0QMq8v3NtuF6QF6G+wS2i1rwyWMG5I3bFxjpp1IGC6AACRp1/art9GuLVfKOoVhy+fmrOdXR/dzgcMytn8UWAncbjUR/08ODumcsLYix6cp9HWO4ziO4xSBqha0DFxVT7aeixtlg0A6J6zQZP1cKzLjCGF6+NJxHMdxqhc3ymqDTmDnuGqVWfav3tgyxkw7NXS8mTbAiNWvmGlLr11YxFIbsE2YNwzT1a9fbaYNUJ/oMNU3I2W7AGLZNjPNtMctX2CmDZA0DElbkui1reGIYe25xZP3N9MG2MFUPX5sqwg6sRB5zhZVeh6O4ziO49jhnrLaoexaZenw5YlPfiGO+eSk/ehzzbTHrLFN9K9fYVhLrN6wqpV16QfL5tiGif66fKmZNoB223knEk1lL7YeEDWsDzf2iUfNtOt33tVMG6B+naH307KTwlC7xVsAQ1YuN9MePnmamTaQtyF5teFGWY3gtcocx4kDS4PMcZzycKOsSomrNlkmnujvOI7jOP0jIn8GjgauUNUvZu07ALgMOIDQ1OPlaNyNcR3fjbLqJdbaZJnUb2vnzl2bsqsNNcqwDRIAa+0Sw3um7WambbpyA0jW24XS6pKGDeyNG7WLZcJ8t11LHmmwbdRet51hanX3RjttoHfZMjPt+u1nmGnXMr3/fMT2AIecWvBQEfkQsEc/+44H/kBor3Q60A3sSszOEzfKKkgeb1jbIE7FcRzHcbZaRGQkcCXwGbL6WorIcOCXwNWqmtmI/L645+FGWWXp1xsmIpfE0YQ8Ew9fOo7jOE5OvgXMV9Xfikh2s/EPAOOA71pPwo2yKsUysb9j+32tpNl+hd3KqyXjcnqVY2PqSLvVnd0to8y0a5lkg11otGH9WjNtwHY1nWG7H4wT/RMbXjXT7ppuew7oOcQu9Drs9flm2vTats5as+eRZtrDJ79kpl0oInIQcCb9hC6BgwjtlXYXkTuBXYAlwM+Br6tqbF8qN8oGl37bJ1kk9mfjnjLHcRxna0JEZgGzMjbNVtXZGfsbgJ8C31HV5/qR2QZoIYQ1LwceB44EvgSMJIQ8Y8GNskEkV/ukjKdmif3ZjFjwkJn2hh3tvHDzV04x0wZonWp3FT5k4wozbcum3kDNVvRniHF19louLWHYxL5r6s5m2r2NLWbaYNsIPjW01Uwb40UtrfNiT516i5RxnbLIAJs9wJCLgWbgigHGJAhOk0tV9XvRtjkiMga4QEQuU9U1cczXK/o7juNsTRgaZI5TS4jItsClBI9Xk4iMjBL+yXheB6Svqu/NkriHUBojtuX17imrLJnhzDawDWN6+NJxHMdx3mJ7wu/t9Tn2XRjdZgLphMDssES6HlFs4QQ3yipIZjgzwzgzD2N2vmiXWLlkj9PMtPdpsm1GLD2GIQDLsIhxnbJUnV2LKDEMu9SNGGOmDUDCMNBgmbht2TYLaHpzkZl245ChZtoAXa0TzLTVsNVaqt72fVlrmejfXtFE/3nA4Tm2P0Aw1K4BXgT+SMglOwZ4JmPc0UBn1raycKOsekh7zdoqPA/HcRzH2eJR1dXAnOztEi50X1HV9L5nRORa4GsikgCeICT6nwtcrqrr4pqTG2VVQtprlpn8H3co08OXjuM4jlMSnwAWA58CJgCLgM+q6vfjPIgbZdXHZnlmqnpW3AcYsufMuCXfYlz3YjNta4autKuv1Dlykpk2xqsvxXD1pWVotLfFruUXgFjWEjOs32bdlsuS7mHGIekapWGJXY1FgNb1T5tpW6++LAVV7fMlUdVu4IvRzQw3yqqMrDyzWKv6u6fMcRzHcaoXN8qqGLOq/utjC3/3oe53PzHTHrq7YVNvYMMO+5hpD3n8fjNtLBtjA9Jg581Sw1pfianG9Y9q2ONkSddjfzfTHtK2rZk2AIbJ+DTbJePrug4zbYCOmUeZaVc40b/q8DpljuM4juM4VYB7yqoYT/R3HMdxnK0HN8oGkRKMLJNE/2T7m3FLvsUb/7RzRY9b32mmDdAy7W1m2trVbaad6rbTBpCEYZjOsn7bsNptAt/dPDL/oBJp6F5vpg0wZPe3m2mn3lxipg1A0i61I7XUcO7epWGLwY2ywaWowrBxJvk7juM4jlPduFFW3XT66kvHcRzHsUFEphCaku8D7EFoTj5NVRdljeuv9tBMVZ2XMW4RsF2Oce9V1T/mm48bZQYMEKZsK0bHavVlYqjdKqDtjrSrgbb4IbtaOQBy06/NtFuPPMJMu864Thk9XXbahqvdNg6xrVNW12sXTrcMMapxm6XkYrt6f6RsP+t1I1vNtBNtM8y0U68Z1ymbd5+Z9mv72bXmA9gh/5AZwKnA48BDwEBLTa8Ffpq17fkc4+4GLsva9lz+qbhRZkXOMGUur5dlA/Js3FPmOI7jOJvxoKpOABCRcxnYKFusqo8WoLm8wHF9cKOs8pg3IM9m7fx/m2mPeNe7zLSn7bCjmTaArlppp93QZKYtScPm1YA22nkPMOwWkKxrNNO21rf2Zlk2gm8xTDqXIYZ1xABGjTOTtvRmpTptF0Gt3f8EU/1Komp4EioBN8oGl1w5Ym0VmIfjOFsplgaZ42zhnC8iFwFJ4FHgK6r6UI5xJ4rIBqAO+BfwP4Xkk4EbZYNKrhyxuFsp5Tn+oBzHcRzHcaoBEZkFzMrYNFtVZ5cgdT1wO/AGIZH/IuAvIvJuVZ2TMe424DFgIaFx+X8AfxCRM1T1+nwHcaOswpi1UhqA4bvahQF7Xyool7EkUhs2mmkDNE6daqadfO4ZM20s64hh2wpJDOuUDVv6upk2gGXUw/J9sY7WyPiJduIbN9hpAyvvusdMu3m8Xd285unbm2kD/KtrdzPtDWttzZDIACvFCMvWOSPj6UMi8ifgGeDrwEEZ4z6V+ToR+QPBq/ZNgmE3IN5myXEcx3EcpwhUdS1wB7BvnnFJ4GZgiohMyqfrnrJBZjBXW2bj4UvHcRzHiQ0BCqnTkg5n5B3rRln5FJu8P+irLbNZ+2yusirxMOLgg/IPKpGuZ+ebaQNol109rropdqFR6oy/xmIYHjWssabL7dqJhQMYhgGH29USlI22aQAYrhztXbHcTBug9dQPmmnXvfaimTattdtSbPcxrxkfIVcd1/IRkRHA8cDf84yrBz4AvKqqS/PpulFWJv0k71+W9TzTO9aWS2cwPGiVNgYdx3Ecp9oQkVOih3tH98eKSDvQrqpzReRCYCfgATYl+l8ITAQ+nKHzIeBk4E7gNUKi/wWR7ocKmYsbZYPDW96xAVZaDpoHbfjuu5hpd020Szht6rFtvL1h+z3NtFsWlFRHsDqwbHacMkyWb6jh05tlnbJ62/fFsml4Yre9zLQB5EXDBTmjx5pJ94wyXFxhzOTFAzqaymd6QZ6ym7OeXx3dzwUOI1Tjf290awU6gIeBc1T1HxmvWwiMB74NjAY2EFZiHqOqdxcykRo+azmO4ziO45SHqg6Yo6GqtxFKXeTTeRQoq4K6G2WDT39NxtvANozp4UvHcRzHqV7cKBtk+qtLlmGomYcx1TDRt2npy2baPZPtGvoCtCw1TMS1xDIRH6DJMNWx2y4kbblwAzCtD6cr7RLaxTIcDXTvcbCZ9pBlducXwDRhPjlqvJl2/YYOM20ADDuWLZ68v504BTUkryq8Tln1kPagtVV4Ho7jOI7jVAD3lFUJaQ/aQC2Xyg1tpj1wPavWlCqRl8btdzLTrl+7gs7RU+z0LZuGj7G7SgZI1dtdyia67Dyr2jLMTJuRo1HDJtD0Gpbz6DL0IGK7CKKn0a6cR9d2M820AUYsedZMW+vsmqm3T7ZbvAXAelt5ZxNulNmQnTfWVsZrM2lT1bNKnFPNY2mQ1TKWBlktY2qQ1TA1vSrVcbZw/NtpQHbeWDENxwfqhVlu83JP9Hccx3GcTYjIFOBiYB9gD6AZmKaqi7LGDQEuBz4CjATmARer6oM5NCdHY48DRhFqm92oql/INx83ymqIuJqXN01ri0MmJxsNvVkNG+3CrgDy5mIz7a5XXjHTxrB5dZA3TGhP2YUAm95uV3cOIDXELkyX6DVepGDI8NeeNtPuftawjhiwYZ1dw/OORXmLuZfMxCMPNNMGYNfPmUlXQZ2yGcCpwOPAQ8BR/Yy7hlDB/yLgZUJR2LtF5EBVnZceJCJthBpmC4H/BJYRomUFrVRzo8xxHMdxnK2VB1V1AoCInEsOo0xE9gBOBz6mqr+Mts0F5gNfA07KGP4TYDFwuKr2RNvmFjoZN8oGkUo2IwcPXzqO4zhOJqoFNbE9CegBbsp4Xa+I3AhcIiJNqtolItOBo4EzMwyyonCjbHCpeDNygJf2OM1Me2qHXXhBnrR1c+twu5WAjRMnmGmrYasigERzi5m2GtYpY1W7nTaQSKw007assWZdp2z9Cy+ZaTdvO9lMG2zD6ZOOPdRM27SWoDE1UqdsN2ChqmbHt+cTqrjNiB6/M9q+UUTuBQ4htFq6DfiMqq7IdyCvUzY4eA0yx3Ecx6lNRgOrcmxfmbEfYJvo/hfA88CxhEUExxPyz/LaXO4pGwQKqUGWiVWYM+2lG8rauKXfomPYJDPtEfscYqYNUPeyYRLxuDF22vV29Y8AUobNsSVZkoe/IBTb2lCmTcPVsAaamXLEcy+YSSfG2XmcAZpGjLQT77HzfqZW5XXAlMe2tvKWiMgsYFbGptmqOrtYGXJ/dbJXQaWNrjmqekH0+C8isga4kRDavGugA7lRNrgMVIMsk626HpnjxIGpQeY4Tk0QGWDFGmHZrCS3aToqYz9A2jq+N2vcPdH9TNwoqx4KLWlRbj2yAY4fu6bjOI7jbOHMB94rIi1ZeWW7At3AixnjoH+HdN4EYDfKqpC46pE5juM4jlM2twJfBT4A/ApAROqBDwL3qGo6Nv0osBQ4BvhRxuuPie4fy3skVfWb3wa8AbNqUbuW5+7vi78v1aJdy3P398XflwI1T4luPyZ4uc6Pnh+aMeZGQrL/ucARwC1AJ7BXltZHI42fEGqefTJ63QOA5JuLRCKO0y8i8k9V3afWtK31a1XbWr9Wta31a1XbWr9Wta31a1XbWt9CW0T6M4Tmquph0Zhm4ApCEdmRwJOENktzcuidQVh1uQMh3+wW4Auqui7fXDx86TiO4zjOVouq5u0lp6obgc9Gt3xjrwOuK2UuXqfMcRzHcRynCnCjzCmEcpcTV0rbWr9Wta31a1XbWr9Wta31a1XbWr9Wta31redeUTynzHEcx3EcpwpwT5njOI7jOE4V4EaZ4ziO4zhOFeBGmeM4juM4VYeI3CkiO/ZA+sEuAAAgAElEQVSzb4aI3DnYc7LGS2I4ToUQkYnAe4Ee4BZVXS0i2wAXAjMIrTu+r6qvlKh/ADAZWKCqz+bYPwk4Q1W/Verf4DgOiMjJwHWqOqIMjUbgWGAnYEjWblXVy8uYYq1yDKEmWC5aCQ2+tyg80d8ZNESkgVDheL6qLhqE4zUSGsYuV9VkDFo3AVeq6oMxzG1H4G9samj7KqFK9H3AWGARwTBbC8xU1cVFaLcAdwCHAEKoLn0b8HFVbc8Ytz/wiKrWlfv35JjDO4FLVfW4uLWdLQ8R2RXYBfibqr5R6fkUi4i8H/hdqd+l6GLsr0Ab4fuarpv11g+0xfc0LqL5v6mqvTn21QETSvm/ikgK2F9V+7QnEpH3AdeWYwhXI+4pcwAQkTOLGa+qvy72GKraIyK/J1z9LCr29YUiIu8m9Cnbl3By2w94QkSuBuao6u+K1VTVbhE5Evh+TNP8CtAOHE6o+PxjQn+11cA+qrpCRCYTWnNcAnyqCO2Lgb2A8wi91g4DvgT8Q0SOUtUXYvobBmIiMV7FishO5PYgUMr/s9KISBMwJi4DREQEGEe4AMnb9LiSiMiPgHpVPS96/j7CBU8d0CEi7871I7yF823C+eAQwgXa/tHzjxH6Kx5VjriIJIBEptEkIkcDbwP+oqr/KkcfeA04EPhHjn17RtsLMiqjavhnZGz6oYh0ZA1rBmYSDNktCjfKnDTXFjFWgaKNsoiFhB8PE0TkOIJx8zDBMPtaxu4lwNlAqT/iDwMHAHPKmGKagwmepKcARORCYAHwYVVdAaCqi0XkSoozyABOBS5T1Z9Fz+eJyB8I78tfReRoVZ1XyqRFZHyBQ/sLORR7vOHAn4BD05ui+0wXf9H/TxF5O/CfhPDus8APssPEIrIHcLOq5sxpKZMTCPMuyvshIhcQfqh7gKtU9UYRORv4HjACWCMiX1PVq8qdoIjsEh2rv3BaqUb3sYTvZpqvArcDXwa+S7hgOaGIeS5k88/DQKiqTi9UexA5mJC2kDbSU1E04cuRp+kHwMll6P8W6ALOBBCR84Cro309InK8qt5Xhv5AFfEbgGIuFBqB4RnPh9L3/9tF+A26ogjdmsCNMifNtEE6zneAS0Xk/rTxETNfA25Q1Y+KSD2bG2VPAZ8oQ/tzwB9FZB3wR4KRt9nJoggvxXg29xa+HN2/lDVuAbBtkfPcDng8a16viMjBwJ3AAyJyPFBKSHcphf8AxsEVhL//KOBe4DSgg2AszGTzK+qCEJG3EULHPYS8vfOBWSJynqrekDF0CFA1P+Ai8iHghwTv5yrgV5HR+mPCj+4/CV7R74rIs6p6TxnH2hd4EFhMODfMB0YD20TbFpb+lzCR6LMvIlOA3YBzVPVpEfkBcE2RenMZ3M+kBWOAN1Q1JSLr2ZTWAPAX4D/K1D+A4EFPcxHwc8I5bTZwKSF1omBEZASbX3xNFJHsc1Uz8BFgWaG6qnoN0WdARP4GfExVFxQzt1rGjTIHCD/ag3SodxJOQAtF5BH6GjaqqueUob8b8IW0Vta+VYR8rVJ5Orr/PrnDmErh36nVhPchTZLww7c2a9xwgvFQDO3ApD6TU+0QkaMIHrO7gf8tUhegkxAy+FOecTMJXslyOY5gmM2Jnr+kqo8DfxaRnwOzgEeL1Lyc8L88WlXXiMhY4P+AX4vIJFX9TqmTFZH/LnDobiXIf5qQTP7R6FjnEzwoP1PV86Mx3xeR3xH685VslAHfJHxOPgx0A2ep6hPR5+daQji8VDYCw6LHhxKM7H9Gz9exuZckL6p6VhlzGRAReVeBQ3cv81Cvs+nc9BLhIiRtJO1H+N6Vw3iCMY2IzCAY2j9S1bUi8kvgNyVofobg1dTo9od+xgmbXxwXjKoeWMrrahk3ypzB5kjCF3gN4Ycp+8ep3CvedYQr+lxsCywvQ/trxHdFvoCQN/JHeMvDluvE/jY2edEK5XHgJEKezmao6oYoxHszpf09TwKdqvp/Aw2KEp/jMMq2AV5U1aSIdLHpxxxC+K+UH5P9gAtUdQ2Aqi4HPigiXwK+JSKjVPXSEuf7dTZP1B6IYt/7nYDLMp7fRDAms38Mf0sw1sphD+CjbAo71QGo6j0icgXBoD+gRO0ngAtE5FXgAuDeDA/zNMKFWrVwH/n/n+n95ZwbHiAYqH8Efgr8n4jsSbggOzraVg4dbLoIPIyQe/hU9DxJjlzNAriVYEwKwdv2Tfqeq7qAZ1X1iRL0ARCRocC7CefvXGH0b5eqXY24UebkJEoCPY/+k6u3L0VXVaeWObV83A9cLCJ3EK7IATRa+flJgoeoJFT1svKn9xbfYXNPWX+8A/h/RWr/Dvi8iIzJFSKOFi28jxC+OKZI7ccJZTwKoRDDJB/LCEvfAV4hGLJzo+dtlFZrcQTBa7oZqnq5iKwieJtGADf0eWV+lhGMpM/kGfc+4PoitRsIP3Jp1kT32RcaKyjPIwwhr2ddFE5bSQg5pllAeZ6hS4E/Ewz81YTzTJr3kDtZvCiifMD+zl3F5MMeXu5cCuSLRBeTqvrjKPXig0AL8C1K9DRl8AhwiYj0Av9FSGNIM4NgXBVFtDjgXwAiosAf405JEZH9CPmG/X2elbBIYstBVf3mt81uhJBRkmDApAhf4DlsysH5ZaXnOMDcpxN+pF4n5NokgesI+WTLgKmVnmMt3wj5akcXME6AphiOdz3w1ejxlwiG9vcJCeFrgJtK0HwK+PQA+8+OPut/B5JFat9GKDOSb9z7S9B+kRBGzNz2aWBs1rYPAYvLfN+fAD4UPX4A+H30PxXgV8DLZeoPBfYGRmRtPx7YsQzdkYQFOcnolopu6edFvedbyg3YAXg+ei9eBNoy9v2lWs/phNSEpwhpLyOApuxbpecY983rlDl9iJIrHyNc7fcQSjQ8EdXWuhu4WMsoQxDV0TqLsPx7DPBJVX1BRD4APKmqz5c5/2mEMNLRhKvPNYQr8/9W1ZITlEXky3mGqG6dBR7NiEphTFbVv0RlJL5HWF3aTMiZ+oRm1F4rUPMHwMGqOnOAMacQDMIGLaI+VLSKdpbmWbEpIvsQDMOCFypEuWJd+V4T5dpNUtXjC9XOoXF5pHFulEd2O8Eg7iUYPp9R1XJDpLETlb15F3AO8BDBq7uGsDDkQOA0DTmJher9hZBD9/9UdX3sEx5kcnnPRWR3YGmx36Mc2h8mXBD0F2bcqQTNdYT/2e3lzK2WcKPM6UMUwjmVkE/RCxyoqv+I9n0UuFBVSwpfZNTeagNeAHYG9o2Mvp8BqOrHy/4jNh0voTHVbYoKGfaHQukFHqNl70fSf/mBkl30ebTRrayif2ToHUNIml85wLjDgXepajlJ7bERhVSb8v14RgsAnlbV2Go4RasxTyEYw39W1ZLb2xRSE1FLqIMYab9EKLFxA+GCct+0ESYiPwaGqmrBNRlF5BVgKrCe4C38lar+pZS55dD+BXC5qi6MHg+EankLoEwRkUsJC2j+DTzD5mF2AIq5AMnQ/Tdwiar+sexJ1ghulDl9EJEVwCmq+oCILAX+Q1Vvifa9G/iTqraUqH0TIYn4WELBwW42eeJOB75SyhVVP8eaTvCUrVDVYpPlCz3GKOBEwtLy95TiiRORCYQ8qR2JuZq3pXakb2ZM5jhWbB0anMoxwMVNHJ/3DcBRqvrX6PFxqjon2vdu4EZVLSSXM1PzcEJ9r/cRFposJqREXKeq/y5lnpHuQsI540kRWcTACwVUS8zjjY5l6uWP/pbbVPU/S9XoR/cMQs7hUVuCp7IQPNHfycVzBE8WhKXq/yUiDxO8Zp+jvGr8RxFCTgujH/RMFhOKeZZF9EW+IlNLRBYDX9DN61CVjaquIpRSGENYCVdKW6FvEa7EdyTkfRxCyIv7GCHxuZxWRWbahRh8xJCEKwYdGpzCEJHdCIVNxwDXqOrSKD2gXVXXlSibqybiGELB2NMJda1KZSmbame9QghZzomezyhFUFUfINT2+yQhHHom8HlC4vxjhBy7G6NzQTG60zIet5UytyK4LM9+JXi6SmUc0UrymDmYsAL7ZRF5iND9JBNV1XJqT1YdbpQ5ubiB0IcOQh2a+9i0OidJOHGWSiObVo1lM4LSCpq+hYicSjhJPkwwzJYSanadTjCeutJev5h5ktJPaocRCjumvWwboyvwz4sIhPID769CbUtjEjDv0JA+xhEMvNK45Ir+ebRLyrMpULvceTcSvkensqncw12E79P3CGGqL/QrMACauybiKwRDWwg11ko9x/yVYIjdTvBmfUVE2ggXlB8lfJZKQlU3Ekqw/EZEJhKMx48QLsauFJHbVfWUUvUtUdU+q5SzvfxlHuJB4O2ERQNxcmJ0nyIk+2ejlFcQvPqo1AoDv9XODZgCfJzQlmbXMrUeBX4aPa4jfNn2ip5fTejDVo7+vwhXrbn23Qg8YfQefQ9YWOJr1wMHRY/XAkdk7DsCWF3GvCy1XyFU2E//H/fO2PctQnJ0ue/rPwl5PBAuIjM/LycDr5epfzThQuD+SPtuwg97eqXxdVubdsb/bzXBKzQp632fZfg9ehewpozXTycs4oBQQuS7hAvKlQSDakzM8x1KKG9T9srO6Ht0NqHm1x3R/VlAncV7nXHczwB3lqmxPTCPYEyPtJzvln5zT5mTF1V9HfhZ3oGF8R3gpiivJF34cycJbX/OofAaWP2xM6GBdy6upf+q03npJxm3kVDgdXeCV7EUFrOpZtlCwg/T/dHzvciRNFsl2mMJRlFSQmuYzJYrd1N8fbVcWHZogNBv8SeEC44eQoj7CQl9H+8if+eCLVEbwo/rl1T11znSDBayKb0hbg4gFIAuCVV9iahVmar2ELxAn4tnaoHIm3cEwWB9L8Ewe4HS+wEjItsRvjM7EozIZYRzyrmEuovHqF3XlXK8/GlejO6vA4i88Jmoqrq9UQD+Jjn9EiW4HkjIzVpMqL80pxxNVb1FRD4NfINwxQ0hXLqesMy+5FVdEevJ0WIoYiJlnPAJBk22YdBJ8BhdRQj3lMIcQu7EnwgFXa+Mlqn3ENz3vyxR11rb0uBLY9mhAWBXQlg0nXxeD6CqC0TkMoLxU2q4u1a1IRi78wfYX0oFeKDfpPP0xc3xwI9K1e7neKMJeWzPqGrJn0kJPVPPILSemkRIw7iB4Mn9W5nT/BEhfeMgVX0k45jvJHTf+CGhS4cFJxBas5XDNzDoPyoi4/ONUdU34z5uJXGjzOlDdBK7mZCPpASPxKiwS+YAH9ABSgnkQ1V/JCK/IuQIjCdUIP+rRm1vyuRu4BsiMl9VH0tvFJG9CFeD5VT0byt/ejn5MpHHR1V/ENXjSlfz/hHl9Rm01J6DncGXxqxDQ0QK6FFVFZE3CeUP0hXlF1NicniNa0NYzLM/uXOE9iPkEJbKZTm2dREubq4gtOspCRH5IqHsxRei54cQ8suGAotF5AhVfaEIvQkEr+GZhJypFKE+3mcJq9DjuPCAcEHzyUyDDEBVH5bQT7UsQ9XQyw+Aqn6xnNcPwFLyG3slrx6vSiodP/Vb9d0IRTM7CCejhmhbA+EKcQ1l5qsYz30ywWuTJPxwzCWsJk0S+rJtU+k5bik3gufxbRnPLyLkgD1LyLEbGsMxTDs0AH8jqpJPyOOZS1hJNorQyWLB1qYdaV4anQM+SPCKpQhN5g8mXET12xGhwp/JfwMfz3j+KKGI7ImEgtg5800H0OuJ/vanCGHQCUbzXgYc28++44A3y9RfFJ0XM28LCEW1zyIqj1VtN8JClk9k3f6bsPBnIXB+pecY983rlDl9EJE1hOr3fZpOi8ingK+ramvfVxak/Y4BdqcIRt/zWkYdKhEZTvjyHkwIfa0k/Gj9TFXXlqobadcTQrpTyb3iLV8RyHz6MwghwadVdUM5WoOpbYkYdWiItP8T2FZVL4wKpN4LDI92p4CPqGqfxu5bsnakX0dYGPN+goeymZAa0EIIi56mJfx4RKs6/xf4jWZ4suNCRNYCJ6rqHBEZR/C0HBE9fz/wA1UtuOyOiFxFCE/+K+65Zh3nu8AMVT05x74/AS+o6oWWcyiHyJs3EKqqJXtA+znmjYSLj6/GqVtp3Chz+iChAfFpqnpPjn1HEa42+8vzyaedIr87eh1wlaoW5FKXUCH8Do25GW6O4+xFWCgwhdzNtlVLL3p5DiFHKJ0Pl+5ycAtwn6r+pBRda+2MY5gYfFG4tTdtpEuMHRr6Od62hLymZuBeVX16a9aO8kqPZlOawZ9V9f6BX5VXcwNwjKo+GMMUs7VXA6eq6j2REfZrwmrAniiUebeqNsd0rFZCT8mlGhZDFfv6j2U8bSR4gNYQFsgsAyYQuigMB74Zx/fUCjHsdjLAMY8h1M4ru7ZlVVFpV53fqu9GyAW6pp99vwB+UYb2ewiu9DsIy7+Pi+7vIuSUnA38lBA2+GyBmklgv0F4X/5BSH4+kXAy3i77VqLuWdHf8GtC3aPM8gMXAQ+UMWcz7UjjHEJoMd3wOa19C3BemdoNhPpSJ1v/b/222fveCFwA7Gak/zBwgaH2rwmV9+8go9QDIf3ilSL1jgL+J8f2/ybkwaU/978B6ovUThVxK7rcBqFu4LCMxwPeynzf63LcxhNqFj4FTDf4X58OrLL4HFXy5p4ypw8i8j7gSkIPs5vZdNV2KqFEwacJ+SYAaBG94ERkNsFD26e/pYTelwlVPUdEfkToO7hrAZop4ACN+nNaIaE57qla/grRbN35hCv4z0Zho8wm8CcQwq79rSitpPZZwDWEFWj3EH4M09oXEVrcHF6KdsYx3gDOUdW7ytEp4DjHEX6cxhD6Eb4arXx7SVWXbm3aIrIROFptvFkHAL8FPkXwcMf2IyQiRxMWnjQQPutHq+rcaN8NQIuqFlx2R0T+QPCAvy9j27sJC0yeJixw2YWQLvF5Vf1uEdrbFToW+i26O5D+W+fFPBEKoQwvfwHz+CzhXH5CCa/dL8fm9AKFLxPq5RWtW8346ksnF+ml9FMJPSqzSdefSlf6LubLfAoheTgXNxPyWM4heM7OLUJ3MHiesIorbqYTrupzsZaQvF2N2hcB388w+DLrNC0grFArlxsJ3j4ToywKQd0BvAPYQAj//Rh4lbC6cznhImSr0Y74N6EWWexGGeF73kownnqj1aOZBoOqalEGS8YL745qte0FzNNQtyzNg4SaXMUwk741vM4mlMI5Om34RnW5TicUqy10rlZ1x9IcTlh0k35cKeYR0idK4VFyG5MC/B04v9RJVStulDm5sPwC15O79x2EqtDpz2QnxdW5miwiBTXs1dKbk/838L8i8ndVfbVEjVysJBjAudiR0E6oGrUtDb4084EPSOh79yfCfDc7Savqb3K9sEC+TfjcHUpY0didse9eoJzk6lrVhlC24rsi8k9VfTbf4CK5H5uaVo3ATcCVqtqncLGq/rQE2fFExWgzeDehhE+mJ/IOQg2zqiHtIcx+XAGOJeQjlvrabDoJYehFJc+oinGjzNmMyOOxGnhDVcstKJiLu4Bvisgy4FZVVQmXmScTahSlQ4O7EEpYFEoxhTJLctOr6p9F5DDgBRF5nlC/LWuIHlqC9B3AF0XkfuCNtJaIjAT+i/Kqs1tqWxp8adKdJCbTf++7coyy9xDCTg9J38r1r9L/37cla0P4bAwDnhKRF+lrDKuqHvH/2zvvMEmLav9/zkoWkCRBkF2JYkLgkpQgklRAJIMCSwYFLihKUMlB4YqACIo/QIJgJkhmyYooEhS4wJIWENkF2assIGl3v78/TjXT2/P2zPQbOkyfz/PUMz39vnOqpru6+lTVqe/JY1jSbgXb1szuW2a2EXBGiWZfoW513MyWx7eK/9Rw3zRaHFfM7ClgK0l/M7NJDO2oStKyrdhvJykspZHaNuMq5Fwpk1RUh7DnCKcsaES41tRmeJxQ2RyAJwW+HHjLzKbig9zs+HL0gem+12hNRPJEBs9oS8XMDgcOxdWvp1EweXod38IH+Yfx/IXC01GthJ9ELXLku0rbVTp8NVYqwcZQzIcfVMhiTooJU/aqbfDP4+OpQO98V9yJp2q6rSR7j+ITxtqK8Jb4Z6hxbPwAHnvbCrczEJt7OyWvHppZK8nBczvZic/RPNvJvvgBsdwkZ3g9XBJnKnCHpCeG/qvepFc+aEGbkDTTzP5ONbFTpNW3tVOA8pq4TMNk4E/1wdySWlWDv7rqQH/c0TgHOEAFdNQakfRiktv4Bi4/8A988LkQOEVS44pcV9imWocPAEkTh7qetqyK8BiwEXBTxrX18GDufrONpHWK/P1wmNkqeDaJ9fCcqWukAyIn4V+41+c0fQhwRTqUcwXZ292tSKqcBlxmnuXkBTy+8UHc+atnK1qMV5O0e93j3Vr52xEyhln/9xVxweenGTi8NQ5/jYb8nA2HpKWK/H0z0irwOXgcX70MkVKWgn1bfD+7n04f/4zSfQU4DJ+5zdHptoywvTNpjyTGNPwUUZk234UPlgtW0N7KbNfVsQC+SnkPvm12P77CWVmdqd618MD2/ytoZz88HuswfMtvJh6ntQvuWO7Sb7ZHUPdcwBcL/P06+CrKw8APmFWm5QTgigK235GQaFKm57D53/iKzyt4PNzyDdeXwkM+9mnR7lPAylW9Tw11fSH9D2s0PL8m7qR1pewMnv5pOn7YYkX8gMiK6fe3gSM73cayS0hiBIMwsxPwGSG4cnpWPEmhXGmpnoXIVsV/PuP2oey0SxLjl8ADkk4s0eYY/EDD5io5fqJi2+/C8yu+qGKrba3UuTTudOya6p4OXCVp24J2v4evghoDJ4oFnCrpsH603aS+9fDXfltgPuUXSv4DvgX1BXzi8BYDUipb48LRS+e0fQzDbAOqSxTg2zVupboeBP5H0kUZ13YDDpH00YJ1LIqfuF6fgW3G2/D3M1fS8BR39zNJg5LYm9lxwJfUxbF2eYjtyyCL+pQZe2RcFzkT2JqnQPo+sCOesiWLVgf7Y0nxNemLe7KktzPqng3PfZn35OTpwAXp+Pv1DA70Ry2e7JRvF/+DDOe0KFXaxvvAQ8DmFE8K3hQzezfuBIzHt7pqWzKnASerhMMo8lRFZ+NCoTXl+hvVQuLq0Wa7RjrRvGsqY3FH+He4Pl1eVgW2liQza3SgXsJzeOZC0jEF2jWaWR6Phc3iRQomsE8ZPX4PLIKHNDyAb5V+A9jNzNbVrPIkI2VJmsuy3IHH+I4qwikLBiFpTIXmf4iL0F6Ax2a0InuRScPMdxKemzJr9rlyej5vEHQtjuR44Lgm9+SxfS5woJldrRJj1aq0XbHDh5ltiDtiW+Hxjf8EzsQdgpvxk7uFHLIUj3Yi8EtJ9wClpbHpVdvJ/vz4Z3Q8roNmuAMOnley6AGgN2g+IVsCTzXUL7Rrq2oSHnCfpfe3L76FWYRTcL28D9Y7X8mpvwHPd5pnRXsyvsWaFTu5Bp7bdFQRTlnQbj6LH+U/syL7WTkpa8yOx5vkZQ+qGUQN+CDwhJldQ/Z2cd5kvlXarsThM7Nn8RnyW8DVuCjttZJmJNHUUpBLKOwPXFWWzV62bZ5LcDx+wnAuvK+cih8K+QcugfJGCVX9ATjYPNF2jVqf3BNo5dTgIJLT+lk89qhx0iBJjWKwneRYM3tpBPdJ0vgi9QCXmNlDuHxQfW7ND+IpqIqwAfCVxtUwSU+Z2dHAWTnt/gI4yszewjOHTMHbvSN+UOS0/E3uTsIpC9rNGFztvTSSBEN9gvQsIdm58S+c3DMrSRfk/dthqF/p+0pW1bQmD9Iu21U5fLWTXL/HV1SvU3UnrP6Kpw6rQrm+12xfi79/E/AQg5tqr3uZzjD+ZXonflrxN6nO8Wb2fWA1YPW8hs3sfbjTNy7ZrU3S6vtlNzllH2dkuwWFJoOSfpGcv2OBIxhIQ/UXPDNBoSTzuAzLtCbXXk7X83AUrnl4MvDduucNl1UqHNvcbUSgf5CJme2Dp7BYkYwPVIEg37OBNyV9tVgLZ7F5NP7hHK4zG3B00ZlyCqD/EK6vdo+k1wraG3bAkpRrm7di28M5SsrTT+q2LrfGnel/4gKxF+HbMP8CPqUS8jKa2SfwGfiXlV+GYVTYTkHV4/AVymvx1/tqSdOTU1bm674qnpVgPXzLfybuhH9N0v0F7F6Cx0dtg58GXhPvP3vg6d02UfXpjUZEOwP9G+odg8d+vVTWZMfM/oTHNG6uBqfCzK4GFpa0dgH7qzGgU/Z/wO2S7ivQ5K4lnLJgEGa2K66kfiGef/J8fGb1eXyAuyTvCaakT/YDfIviWvwDNgutDvpmtjI+47TU1hMYLCT7JvCwpAdyNLu+rv1xB3AR3AlcPZ0auwK4RdIPithvUucSkspQxy/VdpUOX7L/bgZim9ZNTz+OBy1voRISwycl9YVw9fo38W2dxtW+XKe7etF2OmG5G+7UzIs7Yr/AY/mupySnrK6+ufD/49+S/lOCvWfxFFO/wQ8lrC7p3nTtROAjkrYsWk8ZdMopq4I0rl+F6539Al81Xxz//K6Ef14ryV872ginLBiEmd2HD8I1LZjacfUF8SPO/0/SD3PabpyZ1XdAI+fqSp398cA1kkYSp9Gq7b1xbazzcUXvXzHw2hwCfF750ixl1TUnHuQ+HthI0uxl2K3adkM9pTmTZjYWb+8ueM7NGXgA8fmSLitg92cML6GQK6dhr9pO9ufGHbPxeLxQbRvwLFx0uFk2gY5iZq/h23F/MLNX8DRGN6VrGwKXSSpzKzY37XbKqo61M7PN8Qnxx+qe/iuuJdYsR26WnXH4KvDJkn7X5J4tgMOBHbq1L+YlnLJgEGkw2xK4FXfK1pH0p3Rte+BEScvntD1sKo8i8Q1paX6MpOl1z22K52C7peDWyCP4qb/Dkk5XvcO6GXCepMXz2k91rIN/EW6Hp9J5CbhYUtEE05XarqujcofPzD6Jr+ZsC8xfxIkPhsfMlsQlMXbBYwhnAPh/7+AAACAASURBVBMkfa6AzZXw9+/9ZDsIuYLazWwicJikK8zsr7hEyKHp2hHAwZIWy9vuMmmnUzaSWLuyPkdJ9mghXNj5lRx/fzqwnqRVh7nvHuBWSd/I19IuRV2gYBuluwquW7NRevwcderdeI6z1zrdxiHa/kvgorrf92NA5fvN2v+V0/YbJEV/BuJgakrknwLeyGn3A/iW6JMk1fH08xBgtoKvR2W2G+pZB9/y/ney/wLwvYrf67mAHSu0/37gm2F7FttrAGfj8Uh5beya+uHb+KnOSQ3lqQK2fwyclh5/OX1Gb8RzV04Hzqqqv3RzwVee/owfopmJH6YYh0v7TATG5rS7Eq792Oz6EsBKLdp8GNh/BPd9GfjfTr+2pb9XnW5AlO4ruA7Ufunxz3GNorXTB/lu4N5Ot3GItj9T/0WdnJGf4CtDP8dnVnltPwfskR43OmX7Ak+2YGs+/Pj/HcmJmQncBxyEnzaaic8W87SzMtsN9bTF4Ut1rYjHNx4GLJaeez8wT8n1zJOchptq/0+/2QbmAH4NrDvEPbMXsP848FtggTLfu2R7EWCFut8PxFeI7gNOAuYqu85eKPihh+3x0+8zgdXqrp0IXJnD5ufxQyGrDXHPavhk+DMt2H0dWH8E960P/KfTr23ZJSQxgix+AtQkJY7EB/o/pN9fwdOjjBgzuxE4UNLE9HgoJGnTVuw3sCg++66pTH8A+KGkV8zsp/gpvrxchWvm3IY7f+CJcRcBvoonQB4pU/CVnim4/MCFkh5K7S4a81KZ7bQ1UQu+/yS+DfJXPL3KdcCjwF9Ut31csL7Z8Ri+LzKQSmgCvhL3Q3zC8K0S6vk07tRszYBY7WkUU67vSdtyHbTP4K9vs3sGZcxogcXxSd+/C9jIRB5L+lLd72fiosP9zsLA83LR59eABeuu3QIckMPmHriA8b3NbpB0r5n9HNgHPygyEqbjB8uGY3Z8EjiqqFK5PehRJP1SSV9K0hO4HtKmeKzQcpJua9Hk3AzEMMyTfm9Wmil9j5Rp+AAEvqX4kgZOXM6gmAL9t/FZ30O4oyr8JOkjyXYzlf8saq/J87iadkv5PjtoewrutC+LO3wfk7SqpDNwR6lsjsdn5HvjaX7qxYGvBT6T17CZrWBmJ5jZM7ijtyMDul/bS/qGpEf7yXYdd+FJ36vgTnzbq3TM7BYz+2CTayuYWSFh2h7mOXwVEXxle5O6a2uQTxR4TeDKYe/yyWwrfelxfGdmOD6R7h1VxEpZMCxyHa6sNBcj/ft16x6vU0qjmvNH4HAzm44na66XTViOlCMzD5Kmmtl/Jbub4oPbbPiKwmmSmoknZrE8Hqy+Mz6TP9XMatpQdw7xd522PXf6WYXDl8WX8NNb56fDFfU8ha+EtoSZ7Yev9K2BO3l/wcUpf4472oNkWka77QwOAq40s5eBKySVmc7mAOAyM5uKx3tl5ZDNq5/1KWD+Jtfmw7e8+pFb8f/9CuAc4Cwz+zge17dpeq5VFsalL4bjBQYmyiPhcuC/zewCSX/PuiGdxj4AOKMFu71Bp/dPo3RfAXYHjmly7RhgfKfbOETblwcew+MmngDG1V27Bfhpi/Y+DcxbcZs3wJXrp+Erbv9KPwu/zmXbxlfIjscDsmfiM+zL8C3t91JSvFpdfUMdrtiYHDElycYMfAa/QsO19xT5H3rVdpO6avVllekFbM+FayBWYXsmrk2WdW174OWy+mYvFYaPtZszh80XgW1GcN82wIst2J0XP3wwBQ/mX6ru2lLpucl4qESlY3MnSkhiBINIR8nPU0Z+SjP7CrC3pFVasHcHsI/qtlRSLMyfVVANf4g6F5Y0teG5jwJT1EIiazObAaytdGw9SW7cBuwpqdSlczObB5cJGI/Pag0feM6T9P1us21mGzCgvP9u3PGbHz8McWGR9tbVMRHXIjs5Q4bkCPxQx8ot2ryNATHav+EriJdKerGocn2v2s6o6wSG10E7Mqfti3F1/avwPvhWhu0Ri1Ob2e74RBI8zvEBPPa1nrlxWZybJW2eo9mjliTgu688BKGVv7saeEXSTsPc9wvceRrx625mS+EitJ/A+2Ft5XQMPnbdCeykUaZRBsRKWZTBBXiVtDqRcW0DYFqL9mYCa9T9/i58Rrxqxf/HvHgcUpGTYlltn9mGti+FB7BPpMRTelXYZuDk380MnMD8XzxlTlHbR+LO3jb4qcCZwCp4zMk/ga/mtDsWz6v3eLJZS36+V2p/7hWnXrXdrpLez4NKtDce3567Nb0m99b9XivX4zGQi3X6/+/Qa74ISZe07rm58ZPSk/OMA8Bm6fU+YIh7Dkz98nM5270enq/z/FSOZYhTwaOhdLwBUbqv4FpT2ze5tn1JTllljg2wOb4sX5NpqG13nUud5lo3tr1JG9bqFdsVOHyz4TEmM9OX+UwGtNB+0/hFk7OOmsbavxjYsvtVGa9Nr9puqGduYElKkjlJTsDGZbaxzvatwAersN1rBc9ZfAY+yZ6Bxxx+OV3bOb0PM3H9slzvB37QqeYIH4OvWO6eHt+b6j2j069FL5WONyBK9xU8+PaWJtduwbcAWrHXNscGj22akf6Hr9fXk5yFG7q47ZvgaUp+BLw/PbcWJczuq7Q9RJ2lOQd4/Nip+JbdaXgqnbLbOxewEy7t8XbqR6WIU/aibTwlz934xKZ+cnMOBUR78Rimn1bV76K88zqfyIB47ndxYe238MM/M/Gt4y1KqGc3BuJ468tESoo/7sT41akSMWXBIMxsffy05X346tI/8JnyXsCq+KzqthbszQTWlPSX9HstNmg1FUh71KSu+3Fx273MbDZ8EKrFIG0JnC1pyRbbvg0ewwPulE3E01D9b+P9kp7K0eb58fiadXHJjTkYSHR+KR4ke3Crdqu2XVfHJvg2w8LASZL+bmZrAZMkVSGTUTlmtgSeVmgXSR/tN9spt+AVePzkBNyRqn2Ovo2nXsslR2Jm++J5C5/AtxWzTl+en7PptTpWJjvHI5IuKmK7VzCzJ4DrJR1Q99we+Jg+AXfIBsXzFajv/bigM8Df1eTkZIs2Kx+/uo5Oe4VRurPgTkfthF2tPIUn3W7V1kxcmuKiVC5Oz11d91ytXFiw3W+QluIZfFpvPVpMhUT2CbSmp9JytvnH+FbCBrggYn2bdwceLPB6VGl7fuD2ZPN16uIEcZHe00vsjxvhpz7PwvXgMmMeW7Q5B74SVPpWWq/arqvjXtJqFr6FXN9vtgSeK2C7cUWlsRTJRrAAHgRe/1md5fNa1WvWbQV3YjbMeH1mUuJKc8V9vbLxq1tL6JQFmUi6EtcpWhFfAXlJ0mM5zT3LYLHIZ3BR2kFV56yjxjQGRBIbGYcHh7fC7sPfUpitgMMl3ZqhxfUMsHSX2j4FT9u0IX68/s26axNwlf9CpFOjV+LSJDBwwvNbZnYzsKWk1/PYlivXr0AFquC9aruOD+GrWTD4M/kvmn/GRkLL2nItcBI+Xq0H/B7v/y/j6vNr40K7/cLsDD6FWvu91XGwKRX3xyrHr64knLJgSCRNLMHGuBKaMlImAEeY2XUMDEAyszlxscHrWjGmkqQdhmF+oNlS/5z4il832m7HgHkSfix+H+ASSW+kI/xfwoOYT6SY83cTvgpXhdJ7r9oG/+w0E/wcS4EvdUnPDH9XbjbFT+j9Kf3+nDwN0G1m9iNcFHfXCuvvNpY0s2Xqfn9X3fOzpLlSjtCLOqrqj1WOX11JOGVBU6qIyzCzpYHJysidl2LA3ifp2Ty2E9/Cl9In4lumwmf8H8MFNlvK29kmHsdXgrKyJqxLRuxal9hux4C5La7o/04uR0lvAOeZ2QJ4ztEiTtn3gUuT/twV+FbJLCtDBfpjr9oGlzc5PGWCqGkJyszmAPYHbihgu0qWAJ6SNMPM3sBV/Gtchmtf9RO/afJ8Vp7eIp/XqvpjleNXVxJOWTCI9GV3DQP5ymr5Bus/ZHmDZSfh2wh3Z1xbOT2fe3CQ9LSZrYrPljclaTfhAcVHSao6LVAefgx8P6WdqSVMn8fMdsJ1fg7sUtvtGDDfi4uBZvE3im2jgW+7AhwKfKPJPXn7Y6/aBvgmLpXwKD4WKNWzMr6Ctm1ew2Y2ieGFaZcZ6voQTMHjpsBXa9fGDyuAp1nrJ9oRelGjqv5Y5fjVlYRTFmRRZVyGDXGtFshZCLnK855F7bQLSWenmIxTUgEPoBeu8XNBN9qmPQPmM3jS8SzHb5N0vQj7UDyOcbTZRtIkM1sdP1SxRXp6Y3xy820VU1Kv9b96Fsa3qV+l2BbYH/Ax6mr8QNHRZjYOl/QYD/yugO2eok2hFzUq6Y8Vj19dSUhiBIMwsyfxlaZLcOmK1VNcBiku492SRhyXkVbeFkq/PsGsEhM15sZjvjaX9H76kDT4bIqvDk0FbpT0SDfbNrPTGXC+DB8sawPmISXYPxTXWPoR3h8nA4vjE4P98Zi27xWtJ+g8aZy4HviBpEuHu7+JjWXxEIjfm9nseN/ZAc86cT1woBrSrwXdT5VjY7cRTlkwCDP7D7CJpD+kx59T0iUzs42BX0hqFgScZe9o4GiGn0kZcLSk4/O1HMxsKH2jmfiK373AZSk2KShIxc6k4aKxBzDr9scM4MwyHL+6emonjf+qEnOy9qrtTmBm2wAnSvpgp9sStM5o64+dILYvgyzKjsu4Angad7rOx5WZn2y4503gYUnN4odGygZ4QP8C+JbFS3jc0Wx4eh7w4PAnzWyDgtswpZFOh+6CJwtfCHdubsNPHL45xJ921DZAkkrJK5cynG0BXzOzk/HtrYXwdDF/VEnCtEnM9Bhg0fTU6sB9ZnYZnr3irD60/ZMhLtdPbq5QiQKkuM7gUnn/OE3Kjpc0KePaWHzSt0eB9gVNqKo/Vj1+dR2dFkqL0n0FD+I/MT3+Jj5QnoMLd74KXFrA9nhgkQrbvjZ+mGArYEx6bgy+Zfo0/sW+On5q8OJOv9apfe8FHsS/7CYD9zOQl+6BIq9XlbaT/TnxTA8X4wHhF+Gxh3MWsHkLbcpfmNo6A58s7Mis4pRfB27rN9vJxt/xScxMfHLzYvpZyz36MgOpet5XwvswG/Bx4C/AnwvYmSUtWsO11egj8dh2lqr6Y9XjVzeWjjcgSvcVYFlg3fR4dnz76Dl8heJSYOECtsfQkNgY3/o6BFilhLb/CdivybUvA3enx18BpnT6tU5tOR9f0WtU394wfRme16W2Kxkwh/pireC1fxj4XnrcmAFi8yJ9pFdtJxtr4JOb7Wqf1+Q47YBPbtZO5TlazMLBEBkxcGHaTxRo90w8Bjbr2mbAq+3oV/1WquqPVY5f3Vpi+zIYhKQnSduLcj2xQ1Ipg5/jW5W7ApjZfsDZ6drbZraZpKyTdiNlZQZvjdZ4EvhIevwwsGCBespkc+AISTfXPynp5pRnMHeMXcW2T8Z1oTaut29mG+Lv88l0/ynYZXE9uyxeYWAbv59sA5wOnCLp17UnJE0HfmlmiwCnSVrLzL4LfLtF28cxOL70DTxU4jpJL7dizMy2wlfGaxxrZi813DY3LtNyb4ttDUZGVf2xyvGrKwmnLBhExXEZawGH1f3+DTxB7iHAT3Dx1yJO2RRcQ2lCxrXtgFoc0vxkJELuEPPjqaiyeCZd70bbo2HAfAlXqM9iBaCIrl2v2gbfSjy6ybXHcDFmgIdocXIj6Zj8zcpkadzhAnf2Ps6sKb9Iv/8ROKLkugOnqv5Y5fjVlYRTFmSxG65BNcgpw4Pmx+MxBHlYFPgHgJkth+fB+6GkV8zspwzoXeXldOA0M3sfrmb9YqpzO+BzwMHpvnXx7bZu4DFgJ7JV0negWBB9lbarHDD3MbPNR3CfJDVzHkbC1cCRZnYrA9kJZGYL4QdCruxD2+Cfm63Jntxsm66DK+b/O+OeWTCzo1qoW2rhBLakM/CUWzVh2i9IapTcCaqlqv5Y5fjVnXR6/zRK9xUqjMvAV6q+kB7vBbxYd23DIrbr7OyFOwsz68qzwJ5194wDFuv0a53asntq4zXAF/ETpDvhA9kMYHyX2n4AuKDJtfOBvxXofyMthQK38bi4x/FUQhPSa3Jb6qePAAv0m+1k/2vp9b0czzO6cfp5RXr+q+m+U4Drc76nM6p4T6O0v1TVH6scv7q1hE5ZAAyKy9gZF1psFpcxUdL6Oeu5HI9DOgEXdrxH0m7p2r74YF9Yoyjp5SyV6pqMJybu2s5uZv8NHIUf+RYuH/J/wLGSzuxG22a2O3AenuS9Udh1c2AP5VAVN7OZwFqSslJxlY6ZvQd3QjbFV1Wn4v3/e2oxvmm02E729wOOxD9DNSYDx0k6J92zDPC6pMnD2GpMsTMb8DqwJnBf4/2SZhRo95J4OMR6uF7WFpIeMrODgbsk/Tmv7aA5VfXHKsfGbiScsgAAMzuIga29pfEZTlZcxsN4HNHEnPUsj896lgOeAjaS9HS6dgvwjKR25mzrGpIC+UcY0OJ6SBmJ27vJdhUDZrudsqA5KcH0WAYmN89IKpwKLTlpbwP/JWmQU1bA7ofx1HAzgLvwlf3VJd1nZqfhq+NfLKu+oD1UOTZ2G+GUBYNoR1yGmS2shnQnZvZR/Oj0Pwvanh+PH1samKvhslQgY0BZmNlTwFZVvMZV2m5SX6kDZjhlo58KnbLr8Ti3TfETnW/V6jCz7YCTlT/ZedAG2j1+dRsR6B8MQtIH2lDHVDObF99eeF7S25IeLGrXzD4JXEXzI9iiO04FjsOFV3vKdtaAmRywbjk00RJmduMQl+uV63/a6mShV23X1TEvngy+2eTmO3nsVsw6wE6SXs3YMn0B314PSqbk/jiO6sbGriecsiCTKuMy0qm643BNMeFClfeZ2bnALcqZjDhxOi5uuTfwoMpNARO0Z8D8AL5V1g7mxjWWFsdPjb0ALAa8P7VhKrAl8HUzW0/So31gGzNbG5/cLNTkFgHd6JQNtbW6CB7HFpRPpf2xnxjT6QYE3UeKy3gQzzf2PD5TniNdHgscVMD2F/CTMy/hemX1fXASLrdRhJWAb0u6twccsipjB3o2LkHSM/XvnZnNb2Y7mtmhZnZUQzmyYHXfwbe51pQ0VtIaksbienpv4mnGVsS3ZU/sE9vgEhPP4ar98+KZPerLHM3/dDBmtkx9AWpbiEs2XkvX83I3fmIvi+2BOwvYDppTdn/s2fGrKBFTFgyiyrgMM7sfuFfSXmY2W4PtLYGzJS1ZoO0PA9+SdHleG+0gxU1lnXDNQpJG7Ky2wfaakv4y0r8pwki2oyU1blO1Yv+vwPclXZRxbTxwiKSPmdkeuML9IqPddrLxKrCDpGta+bsh7M1k8BetZTwHQN731MzWx8Wnb8U1D8/DBWM/jJ8KXi9OX5ZPmf2xyvGrF4jtyyCLKuMyVgIOTY8bB+R/4VulRTgWONzMbpY0raCtqslSHs8iz8ypSttZaWwybZcwYFa9Hb0iA0KojbwILJ8eP4GvGPWDbfAtqJZWw4ahLSeqJd2eVuPPwLXywKV3nsYPL4VDVg1l98cqx6+uJpyyIIsq4zKmJRtZjAMKnbzE9bEWAyaZ2V34cnk93TSz+kKFJwyrtN3OAXMlYHtJVeUsfAbPz3l9xrU903XwPjs1457RaBv8MMyhZjZB0qs5/n4W8ujVFajrGuCalDFkUWBqXgmfYMSU3R+rHL+6mnDKgixqcRlXZVwrGpcxATjCzK7DE9WCp+OYEzgAFyItwjq4MzAN37JoZNTNrDpAOwfMZ6n2YMEJwEVpW70+Lde2+EGUndN9G+Kfi36wDa7gvwQ+ubmT7MlNVySbN7NPD3PLkungEgCSbqm4Sf1I1f2xb4iYsmAQVcZlmNk4/EMp4FpgV/xD/DHgPXh8WdFkyl1PlVpcvWq7SX074CrhG1e1HW1mn8FPA68CvAsXHr0POErSDemedwPTJY1khXA02P77MLdI0tKt2KyKhng1a7hcEzR+52eRGMSgOWX1x37XKQynLMjEzDbD4zLqA/qfBvaXVGg1y8yWwmO/GtNxHCVpuC+DUUGvOk4dcMouxlN7zYcrtFe2HZ0OniyK52OdXobNXrfdC6Q+OQ34bSqvDXW/pNvb0a5+pWh/DKcsnLJgCHoxLsPM5gH2ANbHdZam4slxL5D0nw42refpgFM2aZhblPckcDA6SCv7uwLb4BI7lwMXxjZl0IuEUxYAI4rLmIVuHfDMbHHcAVsBDy6dgp8WHQtMBD4l6YWONTDoOsxsLLAdzZXr9+0H22b2PtLqRno8JN0WZmBmcwFb4/qKG+GipZcAF0l6pJNt6weq7Ov9RDhlAdC+uAwzO3+Iy/XpOC6T9EYO+xfh26JbS7qz7vlP4FsbN0jarVW7wejEzLbAYxpnx3WRGmNdcsdO9ZptM5sBrC3p7ia6Yo0VdG1slpktAXwRX0H7CPAjSQd0tlWjlyr7er8RTlkAtC8uI21HvQcXA52Of4AXwU8C/zvdtgDwJLCBpOdatP9P4DBJg5w/M9sT+K6k9+Zpe9BZzGxRBs/AkfRsAZsP4tp7O0uaUqB5PW87fT6ukOel3YvhnbLzyqi3CsxsDmAL3CnbDPilpC91tlWjlyr7er8RTlkAtC8uwzyn3qX4iborJc00szHAVsCp+Oz2beAy4DZJu7Ro/3U8YfYgvRwz2xT/0pm74L8RtInUN04A9qWJqn+RFRszew3vL0MlVO4r271MygCxC76NNiee0u0iYIKkofQXgwJEfyyPyH0ZAL7ylXSHFgf2w4P7bzCzZ83sO2a2UklVnYanabq8NkhKminpt8DJwOnyFD7fwbWSWmUiPihnsTMQiXB7i4OB/XGH3YCTcCdtEr6aundB+xNpnnS7KD1lO+WdnL1Mm+3AzJYzs2PN7EngDlxd/uvA4pK+JOmGcMgqp8q+3lfESlnQlCriMtJK1uclTci4tgm+kjWPmX0Kj/9qSTjUzHbGZ8a34Ctyk3FHc0c8+HcXSZcW+R+C9pG2RS7A0y29zUCe1NmBG4HbJR1TwP7GuMO3haRnhrt/NNuujylLvxtwIXBk2e0vk7rQi8uAixlQj89E0lPtaFc/UWVf7zdC0T8Yiqm4NtnTuHDsgiXYnIKrPA9yyvAth9rJyPnxXJgtIelnSRLjOODcuksvAPuGQ9ZzLAPcI2mGmU0H5gaQ9LaZnQ6cCRxTwP438XyrE83sUbJ10DbsE9uNB3zG4KvLpzOMo9MFzA/sBoxEs65rDyj0MFX29b4inLJgEE3iMjYj25FqldOB09KR+/p0HNsBn8O3q8AFQ+/PU4Gkn5jZufg2xkL4ADER+LSZPSDpY8X+haCNvMxAcP/z+HtaO1U7G8W3TGYHnkql9ntZ9KrtXqMtyc6DIYn+WBLhlAXAOyKxu+Az43F4bMbXgV+rhITENSSdkYJCj8IdvRrPAXvXneg6iwKJz1MMySzaRGb2HrLzYQbdy/3Ah4AbUjk2bYFPB07E07jkRtI6hVs4ymz3GmpjsvMgm+iP5RFOWVDjMQbiMvZiYLti0SRFMAtF4jIknWtm5wFL4UmPJwPPqS7AUdLTee0Ho4rTGUj1dTSwKi4ICt5HQ3uqXMakE68wsM1X/9w7RPB8EJRPBPoHwDvBsjWG7RTdLBzZDDPbBvhVL7Y9cFLw+bLAPMAjkt7OYeMTwN8kvZYeD4mkP45228l+lmCsZTyXzCsm9X1M1f2xXwmnLADAzFpK6lxky8DM5sfjx5ql4zg+r+1h6g2nLJglf+cwyvUtZ6/oVdvJ/tGt3C/p2FbuD0YXVffHfiVmOgHQvriMdIjgKpoIgeIf7JacMjMbaULqxVuxG3QHZrYkcAiwHn7CawtJD5nZwcBdkv7cosmNgYfrHpdJr9oOJytolUr7Y78STlnQbk7HJTb2Bh6U9FYJNp9gBFuuNN+KCboUM/sw8HtgBnAXsAowR7o8FlgD19JrhfrYxZtLaOZosB0ErRL9sQJi+zJoK2b2KrC9pGtLtNm2rdegvZjZ9cB8eJL5N4C3GBCQ3Q7PDjHSldKazUaR1DHAbcCekh4v2N6etN2kvo6EGQS9Qbv7Y78QK2VBu3kW1z4rjXCyRjXrADtJetXMGmNSXiDflnSjSKqleubLYWu02J7VcAVhBsGoo239sZ+I3JdBuzkWODzNwoNgOIaSXViEAlp2wZDUwgxWB+aSNKahRNB2EFRArJQF7WZzYDFgkpndRXY6jpa2I4NRzd24YvtVGde2Z0DdPyiXlfAwg3s73ZAg6CfCKQvazTr41sc0stX1I8gxqOd44CYzuxFPMC9gIzM7CNgKP5GZhyXrTu2+q+65fzfemEMouVdt11N6mEEwKmlXf+wbItA/CIKuxsw2A85gQNkffGttf0nX5bDXikhqS0LJvWo7o64dgK8BG0ualtdOMHppZ3/sJ2KlLAiCrkbSNcA1KT/rosBUSRMLmKwygXWv2m4kwgyC4YhE8BUQK2VB2zGzeYA9gPWBhYCp+FHqCyT9p4NNC7oAM/t0K/dLuqWqtvQrZjZpmFvUqhRJEATDE05Z0FbMbHHcAVsBTyg9BZc1GAtMBD4l6YWONTDoOA3bIo3H7sXAFkmkbwmCYFQR25dBuzkFWBBYV9I7J+dSQtvfAicDu3WmaUEX8QreH34LvNbhtgRBELSFWCkL2oqZ/RM4TNL5Gdf2BL4r6b3tb1nQLZjZ+sCuwDa4luLlwIWxTdkZzGxRBiv6I+nZDjQnCEY1IR4btJt5geebXHsuXQ/6GEm3S9oT39beDw/uv8HMnjWz75jZSp1t4ejHzMaY2UlmNhWYDEzKKEEQlEw4ZUG7mQjs0uTazsCjbWxL0MVIekPSpZI+i+dfPAPPxfiQmf2ws60b9RwM7A+cisfunQScgDtjTwJ7d65pQTB6CacsaDffA3Yys5vMbA8z+6yZ7W5mNwBfBP6nw+0LupOpuDbZ03iQ/4KdbEwfsDtwHB7jCXC5pKNxZf4dEwAAA6NJREFUpf9/4E5yEAQlE4H+QVuR9LMkiXEccG7dpReAfSVd2pmWBd1ISoy9C7AdrjB/JbAZMKGT7eoDlgHukTTDzKYDcwNIetvMTgfOBI7pYPuCYFQSK2VB25H0E+B9eJqlddPPJYGnzeyBTrYt6DxmtpyZHWtmTwJ3ACsCXwcWl/QlSTdIGipReVCclxkI7n8efw9qzIbrCwZBUDKxUhZ0hPSl+kj9c2b2HrLzYQb9xWN4btTLgL1wPTuARdNJwFmInHqVcD/wIeCGVI41s9eB6cCJwH0dbFsQjFpCEiPoGsxsG+BXIQba3yTx2BrDDlDRX8rHzDYGlpF0ThJ8vgpYLV1+BthSUqxqB0HJxEpZEATdRuTU6zCSJtQ9nmJmawDLAvMAj0h6u2ONC4JRTDhlQRB0FZIu7HQbglmRb6k80el2BMFoJ5yyoHLMbKSJixevtCFBEIwYM1sSOARYD1gY2ELSQ2Z2MHCXpD93tIFBMAoJpyxoB08wgtggBhJNB0HQQczsw8DvgRnAXcAqwBzp8lhgDVxXMAiCEgmnLGgHESMUBL3Fqfjp6E2BN4C36q79kQFR2SAISiScsqByIkYoCHqOdYCdJL1qZo2nW18gQg2CoBJCPDYIgiBoZChx3kWA19vVkCDoJ8IpC4IgCBq5m+ZhB9sDd7axLUHQN8T2ZRAEQdDI8cBNZnYjcCl+AGcjMzsI2Ao/kRkEQcmEon8QBEEwCDPbDDgDT05e42lgf0nXdaRRQTDKCacsCIIgaIqZLQcsCkyVNLHT7QmC0Uw4ZUEQBAFm9ulW7pd0S1VtCYJ+JZyyIAiCoJYIvvaFYA2XxYC4s+GZlyIRfBCUTAT6B0EQBDVeAX6bymsdbksQ9B2xUhYEQRBgZusDuwLb4HJJlwMXxjZlELSPcMqCIAiCdzCzuYCtgV2AjYDJwCXARZIe6WTbgmC0E05ZEARBkImZLYEnHt8V+AjwI0kHdLZVQTB6CUX/IAiCoBlTcW2yp/Eg/wU72ZggGO2EUxYEQRDMgpl90sx+jG9dXgi8CmyGb2kGQVARsX0ZBEEQ1ERidwF2BsYBdwAXAb+W9GoHmxYEfUM4ZUEQBEFNp2wacBlwMfDMUPdLeqod7QqCfiKcsiAIgqDmlNUY9oshxGODoHxCPDYIgiAA2L3TDQiCfidWyoIgCIIgCLqAOH0ZBEEQBEHQBYRTFgRBEARB0AWEUxYEQRAEQdAFhFMWBEEQBEHQBfx/+Pb7H0djPfkAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.clustermap(data_num, z_score=1, cmap='coolwarm')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5, Hierarchical clustering\n", "* B, Interpret the dendrogram using the descriptive labels ('Origin', 'Sex', 'Hurricane')." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The 2 largest clusters are male female, but other descriptive labels do not seem to mean anything on the dendrogram.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Male is black" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lut = dict(zip(['Male','Female'], \"kw\"))\n", "rc = data['Sex'].map(lut)\n", "sns.clustermap(data_num, cmap='coolwarm', row_colors=rc, z_score=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pine Cay is black" ] }, { "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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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lut = dict(zip(['Pine Cay', 'Water Cay'], \"kw\"))\n", "rc = data['Origin'].map(lut)\n", "sns.clustermap(data_num, cmap='coolwarm', row_colors=rc, z_score=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After hurricane is black" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lut = dict(zip(['After','Before'], 'kw' ))\n", "rc = data['Hurricane'].map(lut)\n", "sns.clustermap(data_num, cmap='coolwarm', row_colors=rc, z_score=1)" ] } ], "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": "2.7.15" } }, "nbformat": 4, "nbformat_minor": 2 }