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@DarquesM
Last active July 26, 2017 07:39
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A newer and improved solution for Kaggle's competition "House Prices". With ensemble regressors, features selection and outliers detection
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here is the the solution that allowed me to score ~ 0.1250 on this competition\n",
"\n",
"I'll skip the basic data exploration, since you can find it in many tutorials and jump directly to data munging and analysis\n",
"\n",
"Using the ensemble regressor method, my best score was 0.12594 (rank 663 as of end 07/17). This requires some fine tuning of the parameters and different data transformations : I'll leave it to you as an exercise \n",
"\n",
"For information, the notebook was run on a ryzen 7 processor running at 3.7 GHz"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Importation of all needed modules"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\ProgramData\\Anaconda3\\envs\\Tensorflow\\lib\\site-packages\\IPython\\html.py:14: ShimWarning: The `IPython.html` package has been deprecated since IPython 4.0. You should import from `notebook` instead. `IPython.html.widgets` has moved to `ipywidgets`.\n",
" \"`IPython.html.widgets` has moved to `ipywidgets`.\", ShimWarning)\n",
"C:\\ProgramData\\Anaconda3\\envs\\Tensorflow\\lib\\site-packages\\sklearn\\cross_validation.py:44: DeprecationWarning: This module was deprecated in version 0.18 in favor of the model_selection module into which all the refactored classes and functions are moved. Also note that the interface of the new CV iterators are different from that of this module. This module will be removed in 0.20.\n",
" \"This module will be removed in 0.20.\", DeprecationWarning)\n"
]
}
],
"source": [
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"import myplots\n",
"import seaborn as sns\n",
"import pandas as pd\n",
"from scipy import stats\n",
"\n",
"from sklearn.model_selection import train_test_split, cross_val_score, GridSearchCV\n",
"from sklearn import preprocessing\n",
"from sklearn.linear_model import Lasso, ElasticNet, ElasticNetCV\n",
"from sklearn.ensemble import GradientBoostingRegressor, IsolationForest, AdaBoostRegressor\n",
"\n",
"from sklearn import metrics\n",
"from sklearn.metrics import r2_score\n",
"\n",
"import xgboost as xgb\n",
"from xgboost import XGBRegressor\n",
"\n",
"from scipy.stats import boxcox\n",
"import time"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# \"Home-made\" functions "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#Two functions that create dummy variables\n",
"#Just needs the DataFrame to be encoded\n",
"def dummy(data):\n",
" data = pd.get_dummies(data)\n",
" return data\n",
"\n",
"#All missing values for categorical features will be labelled as \"None\"\n",
"def cat_null_values(dat,feat):\n",
" dat.loc[dat[feat].isnull(), feat] = \"None\"\n",
"\n",
"#Replace numeric null values by their mean (or zero)\n",
"def numeric_null_values(dat,feat):\n",
" dat.loc[dat[feat].isnull(),feat] = np.mean(dat[feat])\n",
" #dat.loc[dat[feat].isnull(),feat] = 0\n",
"\n",
"#Cross validation score for a model for selected features\n",
"def cross_val(model,data,features):\n",
" scores = (cross_val_score(model,data[features],data[\"SalePrice\"],cv=5,n_jobs=1)).mean()\n",
" return scores\n",
"\n",
"#Scoring method for this competition\n",
"#true = actual \"SalePrice\", pred = predicted \"SalePrice\" (using a model)\n",
"def RMSE_log(true,pred):\n",
" RMSE = metrics.mean_squared_error(np.log(true),np.log(pred))**0.5\n",
" return RMSE\n",
"\n",
"#Optimise parameters with GridSearchCV\n",
"#data = données à utiliser, feat = features, target = SalePrice, params = dict of parameters to pass to GridSearch\n",
"#model = (Lasso, Elastic Net, etc), X_valid = data for prediction and submission to Kaggle\n",
"def GridSearch(data,feat,target,params,model,X_valid):\n",
" X = data[feat]\n",
" y = data[target]\n",
" mod = model()\n",
" mod_CV = GridSearchCV(estimator=mod, param_grid=params,cv=10,n_jobs=2,scoring='r2')\n",
" mod_CV.fit(X,y)\n",
" print(\"Best parameters :\",mod_CV.best_params_)\n",
" print(\"Best R2 score :\",mod_CV.best_score_)\n",
" pred = mod_CV.predict(X_valid)\n",
" return mod_CV, pred\n",
"\n",
"#data_valid=data for prediction and submission to Kaggle; pred = \"SalePrice\" predicted by the model\n",
"def writePredFile(data_valid, pred, fileName):\n",
" answer = pd.DataFrame()\n",
" answer[\"Id\"] = (data_valid.Id).astype(int)\n",
" answer[\"SalePrice\"] = pred\n",
" answer.to_csv(fileName,index=False)\n",
" \n",
"#Constructing an ensemble regressor (simply calculates the mean)\n",
"def EnsembleRegressor(regressors,X_Validation):\n",
" EnsemblePred = pd.DataFrame()\n",
" for reg in regressors:\n",
" colname = str(reg)[:4]\n",
" EnsemblePred[colname] = reg.predict(X_Validation)\n",
" EnsemblePred[\"Ensemble\"] = EnsemblePred.apply(lambda x: np.mean(x), axis=1) #Mean scores better than median\n",
" return EnsemblePred\n",
"\n",
"def OptimiseParameters(model,X,y,parameters,n_jobs=1, scoring='r2', error_score=0):\n",
" t_init = time.time()\n",
" modelCV = model()\n",
" CV_model = GridSearchCV(estimator=modelCV,param_grid=parameters,cv=10,n_jobs=n_jobs,scoring=scoring)\n",
" CV_model.fit(X,y)\n",
" t_final = time.time()\n",
" bparams = CV_model.best_params_\n",
" bscore = CV_model.best_score_\n",
" print(\"Execution time: {}\\n\".format(t_final-t_init))\n",
" print(\"Best parameters: {}\\n \".format(CV_model.best_params_))\n",
" print(\"Best R2 score: {}\\n\".format(CV_model.best_score_))\n",
" print(\"Best estimator: {}\\n\".format(CV_model.best_estimator_))\n",
" return CV_model, bscore,bparams #returns the model, best score and best parameters\n",
"\n",
"def plot_cat(data, x_axis, y_axis, hue):\n",
" plt.figure() \n",
" sns.barplot(x=x_axis, y=y_axis, hue=hue, data=data)\n",
" sns.set_context(\"notebook\", font_scale=1.6)\n",
" plt.legend(loc=\"upper right\", fontsize=\"medium\") "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# +++++++++++++++++++++"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# PART 1 : DATA PREPARATION"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# +++++++++++++++++++++"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# DATA IMPORT"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data = pd.read_csv(\"1-Original Data/train.csv\")\n",
"data_validation = pd.read_csv(\"1-Original Data/test.csv\")\n",
"data_Id = data_validation.Id\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# DATA OBSERVATION"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are several excellent tutorials on this competition, so I'll just give some examples of what can be done to get a first insight into the data"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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EiROcOHEiekwmk/GLX/wibQPLZKLOtHryaR4wMm96SDjTgqSJF8GI5Nedu9od\njUYfr+8gGAzh8QXo7BlMcMWx1xeLqSDdBIMhnG5f3B99l9s3KRuM6f62yIRRq4prx602l4hMC2Yt\nEUk6AI/XP24fgYjzG3GGr7X3YXW48fkC3OiILzcJYdlUpULOohIjZWZDNCe7ekkeWSoFBq1SrP0T\nkJQzvXfv3ild3G63c//99/OP//iPKBQKnnnmGWQyGcuWLWPPnj1IksQbb7zB/v37USgUPPbYY2zb\nto2hoSGeeuop7HY7Op2Ol156idzcXM6ePcsLL7yAXC6ntraWr3/96wC89tprvPfeeygUCp599llW\nr149pfGmimiaxxQj0yZD2IG2OQZZWpqdsnEJ5jbJRDAiW3pHz7cDcLWtb0IneaJ2tAJBKpEkGS1x\nZPEgbMPJPtTF6/422v4jlJn1wpEWzFoiknTt9kH+7cPmuOd0Odzk5WSxuDg76gwXmrRcaO7hWL2V\n2tUleP2BcSUn/6ymlL5BH//9N+fH/GY8/uCt9akygYQdEC9fvsyXv/xl1q1bxyOPPEJ7e3ui02Pw\n+Xw899xz0bSQF198kSeeeIJf/epXhEIhDh48SFdXF3v37mX//v387Gc/49VXX8Xr9bJv3z4qKyv5\n1a9+xX333cfrr78OwJ49e3jllVfYt28f586d48KFCzQ0NHDy5EnefPNNXn31VZ5//vlpfBypYSBS\ngDjFyHTusDNtnUTUUCAA+GR1EeVmAwatkiFv2A6L8rTR7laRLb3I3xN1roo4JO+csNBs7eedExZe\n3FsX7bAlEKSDcrMBgOI8DV+8o4LivHBziYXDx5NhvO5vnhH2D5FirTwkaebrU27FewpmH/HsYPQx\nmQQf1rfziWozBu1YVZtCk4ZlpSZOX7RR19iJxebk6Pl23jx4lc2rivD5g6gU8ridDj+7oZSyAj0N\n1+xx50zDtZ4U3OXcJmHo9Hvf+x4PP/wwNTU1/Pa3v+UHP/gB//AP/5DUhV966SUefvhhfvrTnwLQ\n0NDApk2bANi6dStHjx5FkiTWrVuHSqVCpVJRXl5OY2MjdXV1PPLII9FzX3/9dVwuF16vl/LycgBq\na2s5duwYKpWK2tpaZDIZJSUlBAIBenp6yM3NnfKHMl1cbh8yGWOMNllyjeEHkA67cKYFyWPpdHH4\nfAfIYOv6BQT8IaqX5MVs1x2v76DL4Y7mw03UuSpRO1oRnRakg2AwRJlZxyNfqubCdTtnL3exeEEO\n99YuYcBnnm+uAAAgAElEQVTtSSoqnahbXKfDzR1rS7hs6Y0Wa124bucTKwpTfSvjInZ7BBDfDiBW\nmq66Io9OxyAWm4tel48bVhd3f2IhcrnE0XPtdDnCMrprKgu4NE5NgMfrRyGXOF7fESOtV2DShCX0\nhnWjx5szImd6YhI60y6Xi+3btwNhRY977703qYv+8z//M7m5udxxxx1RZzqiTQ2g0+lwOp24XC4M\nhpuRBp1Oh8vlijk+8ly9Xh9zbktLC2q1mpycnJjjTqfzljvTGpUiRpt7MuiyFKiVkohMC5LmwnV7\nzJb2oiIDJxrip3hIMsjWq6hZnrhpS6LFdXQ7WoEgVUiSDINWzf99+2KM/dZd7OQv712Z1I/6RN3i\nTjRY0WmU0WKtcrNhxnKm46WfCPmx+Uc8O3B7/DHrdrxjFpuTc5flbLmtmOqKPPoGvCwuNrKk2Mif\nTlrivlenw82yYQm9iLRepAOovW+Iu4YVcsabM5EdTOFQj09CZ1qhiH1ZqUxOMP/AgQPIZDKOHz/O\nxYsXefrpp+npublNMDAwgNFoRK/XMzAwEHPcYDDEHE90rtFoRKlUxr3GRJhMWhSKiSPHBQXJbytG\nGPT40WqU5ORoJ/1/o+9r0mK1D5Cbq0MuH5uNM5VxzQSzcVyzcUzJkqyd/ubwuehiq1bKGRiKX6Ti\n8fpZW1nAlz61NKn3r6rITdiO9jv/eTOrFuclda3pkMnf4UTMlXtL1lYjJLrvhmsX4m83X7fzhTuW\nJHX9OzeWx+3+plGHu785B33R4wuLDJhMYxu3TJVE9/abw9fi3tvJxk42VBWnbAzpItPtdSI7nan7\nG20H8dZtg1bJkC++AofXFyDflMX7H7VxprGTsqJ15OdoaLbGz4m+0dEfs0MZ6QC6anEueXnhh7jx\n5syaygJ+c/gaDdd7qFqcy6fWlya17meKraRinAmd6VAo9gkk2UjrP/3TP0X/vWvXLr73ve/x8ssv\nc+LECTZv3szhw4f5xCc+werVq/nRj36Ex+PB6/XS1NREZWUl69ev5/3332f16tUcPnyYDRs2oNfr\nUSqVWCwWysrKOHLkCF//+teRy+W8/PLL/NVf/RVWq5VgMJhUVNrhmDjqW1BgoKtr/ArYeARDIZyD\nXkrydPT2Tj2ynK1V0toZ4mJTF2ZTrFM+lXHNBLNxXNMd061eDJKxU0mS0XD95sOqyaiObv2NprPX\nTSAUxG53JRVh2LSikIOnWsZtR/vuqRYK9Kok7mTqzEa7ShXj3dtk0wButZ1CcrYaIdF3qtEoabHF\nz8lvsblwuYZwu31xXx+Je9DL5ipztEFLgUmDLkvB6J8xtVLObUvzU2Zjie5NkmTR/NPR8mMXrvck\nPS9vFamYi7faVhPZ6UytNSPtIMLIdVuSZNSuLkajVnDxhiPuNVo7XbR2uqhdU8K/n7Rw9Fw7eo0q\nbrvxUCjccyDyd6QIV62Us2lFYfSeC/Qqvr1rA8cbbFyyOFhebqKqIpcfv3EWtydcg9Pc0c/BJLrn\nZsq6Pd44J2unCZ3pixcvsnLlSuCmY71y5coptRN/+umn+e53v8urr75KRUUFd999N3K5nF27drFz\n505CoRBPPvkkarWaHTt28PTTT7Njxw6USiWvvPIKAM8//zzf/OY3CQQC1NbWsmbNGgBqamrYvn07\nwWCQ5557blIfQKoZcPsIhUCbNTUljwiRvGmrfXCMMy0QjCQYDFG1OJfmjn4kSUbV4jyGvP64VduF\nORoGBv1JX7u8MH472uP1HYDIpUsH8z0NIBAIsrDYENd+FxUbCQSSS8U43mDl8NnYLW2PL8AnVxdT\nu7qEQY8flUJCLpeob+qmZll+qm9lDMFgiJWLcigt1Av5sXlMvJQKR7+H6iV5tHa5uP/TS/ndB9cA\nqF6SF3cuFJg01DfZKTRpUCvlWKxO/MFgtKFLl8NNaaEepULOlVZH1Mn2+AL4A0E+vb6UT68tGbOm\nlBfqoznUwWCIXx+6GnWkI4i6mbEk9PgaGxun/QYjZfV++ctfjnn9oYce4qGHHoo5ptFo4hY6rl27\nljfeeGPM8d27d7N79+5pjzUVRLYONVPsfhghoujRYR9kTXI78oJ5zKfWl3LwVAs1K81caell40pz\n3AiFWqWIuw2YiPICPfnZapqt/TENAWBiNRDB5JnvRZ9+f5BCkzau/RbkaJLKax6Z7+/xBaJb2hDW\nlK4sz8Fic1Jg0iCXS1isN3Wm0/1wuGpxnpAfE0S1oyN24PEF0GUp+PS6Bdxov9mJMEuliDsXslSK\ncK+A4YLyhUUGTl6w0d41gFopZ8XCHHIMamw9gygkKSbFo6N7gJICHYuKDAltXRQlJk/SHt/vfvc7\nrl69yn/5L/+Fd955h/vuuy+d48pYnINeALTTdKbzssOR6bYuIUEmmJhVi/N49j9u4I+nWrD1DDLo\n8bFtQyldve7oFndkIS0t0E96Edy4wsyfTrWOWdAnUgMRTA7x4wUqlZy6i50xEbaI/dZd7OSBT1Uw\nNJR4dyVRMVWhScMHZ9vx+AJRR/aLWyu41t4/IwobieTHqheaUv5+gtlJRDt6ZErFJ6vN1F3p5mpr\nX/S80QocRflalHJ5dHewwKThssXBltuKOHnBFv1/xfm6mBS9kUXoQ14/ecasuGvJyBSz6goTS0qz\nExYlCsIk5fH98Ic/xGq10tDQwCOPPMKBAwdobGzkmWeeSff4Mo5IZHq6znSuIQuFXEbzOLmDAsFo\nFhcbabG58PgCDA4F8AfCrWVHbnEDLF5gnLRqQbyFf0uVeV5ESmeSZCrq5wMLzHqOnhubonHHmpKk\nrzE68gc3d2dUSonK8hxudPTjHPTR3evmleM3ouv36NSaVD3EiIclwUhGp1QoFBK/+LdLFJg00dSO\nYDAUzW/euraEDxusUTtVK+UsKjayZEE2q8pNfHvXBpra+7E7PfQ5PeMULvrJ1qnYGEcKMl6K2da1\nJXEj4yKQEktSHt+RI0d46623+PKXv4zBYOD//J//wxe/+EXhTMfBOVwYM92caUmSUWjS0t7twucP\noJxElbxgfuL3BykvCueafnCujQc+vRToxGofRK2UU5SnZcDtY9PKqS2Coxd+QXoYzwmcLz9eQ0N+\nivNupnlEUjTUSjnmPO2EUekIox8AVyw0IUkydBolkgQD7rCyjTlXx5nGTnQaZYzChy8Q5HJrX0qj\n1eJhSRCPyPfu9wcpztcRCjHGgQVYUGig0ukJdzfM1bCsLIerLb3Yetz09A9RUZLNxWYHjv4hlpXl\n8Kl1pXxwri3Grmw9bv5s88K4dhwvxezI+Q4e/mwl9r4hEUhJQFIenySFpdkiah5erzd6TBBLqtI8\nAMwmDe3dA7R2DbC42Djt6wnmPquX5nPqQliT9MB7V7ljTTH5OVpaOl1YuwdYVplDcIRKz1QcY/GD\nn17m+y6AJMnIM2axucrMkDfsTBflaclSyckzZk3KZkc/AH5Qb6WptZfBIT/dvW5kMg2dPQNsXVfC\nvj9ejvm/W6qLOXDoasoLQef7w5IgMZtWmfkf//xxTJpToUnD0tIc5HK40dGHUiFHl6Xinw81AWEl\nEJ8/xN5/a2T98kJyDGouXO+hwKThwTuXcuRsO/a+ITy+AAUmDT9+4yzfeHhdjB2Pt2sSDIY49nEH\n3/tPG6N/C8aSlMd3zz338MQTT9DX18fPf/5zfvvb3/L5z38+3WPLSKIFiNOMTANRFY9mq1M404Kk\nqG/qZuMqM8FQiFabi4IcLb87cj0mb+5kg41H76vmssUhOrDNUubzLkAwGOKSpYeKBTlca+8jP0dD\nllpBRUk2lyw9bJ5Cp8JIwwmX2xu3mZE5T4tKKcVotQ9542u1T7cQdL4/LAkSU73QxF99sYqPLnXS\n6/Rw29I8SgsN1Dd109LpYtXivOiudcTh7nV60GrkfOGOCv71/aYY+65vsnPv7Ytp73KhUkoEQ2E/\nZbQdi12T6ZGUx/foo4/ywQcfUFJSQkdHB7t372bbtm3pHltGktLIdG64u1xzHFkcgWA01l43Nzqc\nlJkNNFyzhwsQ+9xxHYIzlzo5fbETjy8w76TXMon5+AMmSTJK8g3s++OlGNs9UW/lgW1Lp/yAoVBI\nWLsH484Ha/cgty3J59jH4aKuRFrtqcptVsjDheYig08wEkuni//79gVMhiwghHPAy8//380mRhZr\n+AHwgW1Leev9puFINFxu7sWcq41r321dLuSSDEmSCAXD9TLx7FjsmkydhB7fqVOnov/Oysrizjvv\njHlt48aN6RtZhpIqaTyAfGMWcknGjQ7hTAsSc+G6nRd/cZqqxXl4vH5WL82nrMDAmcauuOe32FyY\nc7XRIpf5JL0mmN0EgyFuWPvjOgXN1v4pO7FyuTRuYKLZ5uSpv1iLQauisdnB4hIjvkAwrr7vdKN0\no4u8AP50qlU8zAoAaGzppbLcNKwTbSAQDMWdCzes/WxaVcSH9R14fAGK8rS0dsYXLOjoHsDrD+Do\n97D9z5Zx+mInpYV6mm1Oygpu2pzYNZk6CT2+eFrPEWQyGb/4xS9SPqBMxznoQ62UUMRpAT5Z5HIJ\nc66Wlk4nQ14/WarpO+iCucn7Z1pxDvrIy9FwudnBhhWFnLncFVMVPpKSfB3t3bELr1ATEMwGFAqJ\n1mEVo9FdAls6b+pBT/aaoVCI0kI9ljg662WFevIMGj5ZbebijR6Of9xBzTha7dON0n1wviOuc3Tk\nfAc7P7tsWtcWZDaWLhdvvXczTcPrD6AasXUxcj5E9NIj50aaviRq8OLxBbhwrYfP1JTicHr5u1/U\nxX2IE7smkyehdzay4YogOZxub0qi0hFK83W0dw9wvb2flYsmbpMumH+MbCd+8HQLO/5sGdfa+rDa\nB1i5KBeDNlalQK2Us3iBkY8ux0atRV6cYDYQVqXRU2Y2jOkSKJOFJuVI1zc7ONFgo8Xm5HOfLMeo\nDbdbBqJOCYBBq6K7f5B/P90adUZi9H173axcmDvtKJ0kybjSGl8a73Jrr3iYneccPtce86A1siti\nxBZ7nR6qK/LIz9ZQ19gZPdfjC0zY4AWg0+HGnKej7lLnmB1JsWsydZLy+k6fPs3PfvYzBgcHCYVC\nBINB2tvbeffdd9M9vowiFArhGvRhNmlSds0FBXpo7ORKa59wpgVxGdlOXCmX0eP0oFYrKMzVcv5q\nN6uX5lOYq+Wjxi7ycrLQZSkgxJzJixMOyNxCoZAoNxtjlDQihYIPbFuadGS6vtkR02nw30+2UpCr\n4Qt3VNDW5aStc4D1KwpYUGCgrcvJHz9sjYlaj9T3vW1JHjs+szQldragIH50vLRAOCvzGavDzdWW\nvphjEQe5dnUxpy523syPtvTiMHnYsrqIpva+qF1GHgBDDBegj2jWFaHApKGptZdlpdlctvTG7EjO\n9+6r0yEpZ/o73/kOX/va13jrrbfYtWsXhw8fZtWqVekeW8bh9vgJBEMpUfKIsKBABzBuNEMggJvt\nxCtKjOg1Sn5zcKwjsnXdAg5/FC4u2bpuAbVrSmjtdGVsXtzITl1CkWTuoFTKudERP2f6hrUfpVKe\nlDN98oIt5hqdjkHuWLeAfe9cGjU3uthx93KOfNQSNy3K4wuQl61JWdOWbJ0qbvTQqFOJB8N5zNGP\nOyjK02LrGYxJbaq71MnGlWbWLy/k9MVYJZr6JjufWreAQ3WtQPgB8PRFG39x93IKcjS8e7pl7K5k\nSTbt3S5abS6ql+RFdySTbSgkbDQ+SXl9WVlZPPDAA7S1tWE0Gvn+97/P/fffn+6xZRyp6n44Eq1a\nQZ4xi6tt/QSCQeRC31sQh1WL8/jKZ5YhyUI0tcV3RHr6h6J/N3f0c/vqYh65d2VGLozxOnUJRZK5\ngUwmo7UrfiFVa6cr2u8gEQqFNCb6W2jScL29L+7cuN7ex5JSEwND/rR2e/P7g7g9vrit0oe8/knn\nggvmBpIk48J1BxtXFRIIhmJSm9q6XLR3ucgxqOPaLsDWdQu40d5PoUlDYa6Wy629HDvfwYN3LqO5\no5+O7gEKTBoWl2Tz9tHruD3hxkcRh7yyNJvyQv240ngrFpq4YXWK4EUCkvLM1Go1vb29LF68mHPn\nziGTyRgcHEz32DKO/hTK4o1kQYEOjy+ARbQWFyRgYaEBuVyixeaKdjyM5IcCdDncmIxqAEoK9JQU\n6DPSkYb4nboi25GCzMbvD7CwyACAQavktiV5GLRKABYVG/H7A4n++/A1gpSZw9eIzIVlpdlcbxvr\nKABcb+tHrQr/HG6uMrNhRSHlZgMbVhSyOcXpTxtWmDl90UZ9kx2vP0B9k53TF22sXz55/WzB3CAY\nDPFnm8o4eNpCW5cLW88gdY2dnL/axRfuqGBpafa4Uo1NrX1osxSsrSzgSmsv9U12Wq3hHOum1l66\ne91ULcmlrFBHe5cr6khHGLlubqkqivnNgPD8WbU4lxf31vHOCQvN1n7eOWHhxb11WMZRD5mPJOX1\nffWrX+XJJ5/kxz/+MQ8++CC/+93vqK6uTvfYMo4+V9iZ1mmUKb1ueaGe8012Gi0O0bxFMC7mPA3v\nn2tjw8pCLFZnTHTjeH0HpYV6lAo5fS4vSxdk8/FVO6vKctI+rlRvCya7HSnITILBEEV5Wh76zDJa\nOsO5zdVL8igrNBAilPR3+4kqM3IJBobCEWC1WklRvi6u2kFxvo7iPB1tXWEnJqKaEFFA0KiVKYvC\nVS808bX7qvn4qh3noJfl5bnctjSP6oWmlFxfkFlYOl18eMEKyKgsN0XtfXFJNs0dffzr+03Urimh\nwDQ0ru1euGbH1uPmC3csJtLg9o8nmtFplDj6PTS19VFuNsA4mzqNzT1I0tK40nifrDZzrF7kUk/E\nhM70oUOHqK6u5p577uHgwYMUFRWhVqv5wQ9+MBPjyyj6BsLOtD7FznRZYTjCcsnSy59vXpjSawvm\nBheu22m80U1+jobfH70xJl+6dnUxgSCcuWTja1+q4uzlLry+YFodz3TlNM90py7hnM88Bq2Kf/q3\n2NzmM8ou/uKe5clfQ6OM6XY4MORl24Yyzl0em8ZRZtazcrGRPxy3AMONXOyDw2NREgymbq5YOl2c\nv9KFzx++ltcX4PyVLvINauGYzDMi6Wo1K81x86FrVpqx2Jzs/9NlHty2NPpwF0GtlFNuNtDRPQDA\n9fZ+LNZ+ttWURbWqIwGVM5c6Wbe8IG7xa0GOhvpmB6vKcsZ0X5UkGf/4dmPc8YvgxU0Spnn87Gc/\n47XXXsPj8XDp0iW++c1vcu+997Jo0SL+/u//fqbGmDH0DYRllnRZqXWmDVoluQY1l1t6CQRFTp1g\nLJctPVy2hHPjPL5ATJqHxxfAHwyhVEhUlpv4l/ev4fUFKcrXsf/dK2nZqov8SKRrW3C87chUKpJY\nOl38+tBV9vzjKX596KrY0pwhwjsPjriRsMbm8I93MoxOBSrJ16NWydlcZaZmOI2jZjiNQ62SY84x\nctuS3Oi8USgkHrxzGdVL8rhk6eV//b+L1Dc7pn1/l9vCuypef4DuXjfe4bSVyHHB/OGD82GVjfFa\n14cIkaVWEAyG+M2hq3y+djGbq4ooNxv45Opidty1nM7e8ENf9ZI8ivO03LNlEX84doO6xk4sNid1\njZ3RNKKR0pAR1Eo5apWCD+utMccjDnIkeBEPIad6k4SR6X/913/l17/+NRqNhh/+8IfceeedfOUr\nXyEUCvG5z31upsaYMfRG0jxSqOYRocys59xVOzesTorM2Sm/viBzsXS5+OUfLmEyqslSKrh9dckY\nfd624YKuGx3haG4kYl2z0syLe+ML90+HdEsspbtTlyhwvHUoFPJo05bRtNpcKBRyvN7EedOSJOPi\nKMe3u3eQVpuLQBAUcon8HA0KuUQgCG1dLq609jHkDaJSyKleksdtS/L59Z8uxxRrnb5o4/EHV085\nJUOSZPgDoZiIeWQuFuXrRJRvHiFJMq609CZsXd9qc/GZmjLePnqdYDDEqQs2qpfkYjZp6B3w8u7p\nsAJN+XCNQYd9kPNNdirLTdH0vuBwB8Uhrx+1Ss5nNpZh6xmMKX49Xt9BaYF+XNlJ0WZ8YhJ6fTKZ\nDI0mrJl84sQJdu7cGT0uGEv/QHpypgHKCw2cu2qnsdnBJ9aUpvz6gszleH34h9nR7+FztxfHTfO4\n9/ZF2Ps8UWcaws6txxd2FKbi5I73wz9TOc2jtyNTidBbvXUEg0FKzfq4+aGlZj3BBLtzEVsIBkOU\nFRqwWJ3R/Ocysx6NWsGhutYxTsED25byws9Pxd1mP3q+PXquxxfg5AXbtJzp5g5n/FbpHU7hTM8z\nFhYbONlgS9i50N7rxqBVotMoWVqaQ5ZKwduj1vita0tiH9CG7X5LdXHUfrscbpaV5WC1Dw4776GY\ntJFSs35cNRnRZnxiEjrTcrmc/v5+BgcHuXjxIrfffjsAbW1tKBSitfVo+lxelHIJlSL18nXl5rDR\nXrgx/W1Gwdwh7Lj2RP/u7BmM+0Nt7RkkGAiNkf3qdLj57KZyLl7vSfqHfKJc6JnOaU5HjrQocLy1\nVFfkUXexc4zTW12RF/f8MTZZXUS2XsXWtSXRAsRCk4aefu+Y+QFwwxpfTnLIO1Yqz2J1TqmlOYRt\nK5LfOpqO7oGkU1gEmU8wGGJpaQ4nG2zkGrPiSjJq1Ar0GiUrF+VitQ8SIkRX79CY8waG4qeJjLTf\n8INoCEkG+TkaVAqJMrOR4/UdKOUSi4qNCde2dAYv5gIJPeJHH32U++67D7/fz4MPPkhhYSG///3v\n+a//9b/y+OOPz9QYM4beAQ86jSItkXtdlpKCnCyutPbG/TEQzE+CwRBlZgPNVicmo5qWBNvj+Tka\nTEZ1tLAKwl3XPqxv5+7Ni5J2pJNJf8jkbcGZfhgQxBIMhvD5A2yuMkcd4QKTBl2WAp8/MObzH88m\n/+Ke5fzTqZYJ10uTUT1uWklETnLknCkvMkxZD9rvD1JWZIgbhVw4jesKMgtLp4uWrgEuWxzsuGs5\nly093Fu7mOaO/pj0CyBmJ8XrD6BSxOY8J0oTidivo99DaaEea/cAA0N+unvD76FSSjywbQmhkAxH\n/1BSa5tY/+KT0Jm+5557WLduHQ6HgxUrVgCg0+n4/ve/z+bNm2dkgJlCMBjCOeClOE+XtvdYaDbQ\n1TtE4/UeSkxZaXsfQeYgSTIMw0Uljn4Pty0df7tQKZdw9HuixyJd15QKOS02JwcON7Fxxc2tu9ER\nCEmScarRllT6Q6ZvC2byw0CmI5dLXGru5djHHWMk6vyBEHdtLAdufi/xUnIgrH408ritZ5BPVBdF\nU58iToaj3xNVTRhNoUnDx0326N9qpZxNq6ZuA5Iko7RAFzcKWVKYupxpET2cvdQ3Ozh90caNDid6\njQKX20swGPYhLlsc6DRK6odt7rYleTF24uj3RFNCIjY84PaxoDx+WlRxvg4ZsGKhAhnEzdW/9/ZF\n/PvJZr7x8LqZuP05y4S5GmazGbP55uLxqU99Kq0DylScbh/BUHrypSMsLDJw+lIXH13upGRzedre\nR5A5BIMh8nPU0SheudnAx1fHyifpNEpKC/QECWHtHqS0UI9Rp8Te58bR76HZ6sTrD/CnU608/uBq\nGq7ZaWzuZeWiHFYtzov+bc7TcvvqkmhhS4R46Q+ZvC2Y6Q8DmYxSKaN1WDllpEQdhDsgKpUy3MOB\nuPFSckxGNS2jJMBUSonCXE1M6kf1kjx0WQoqFmTHSJNBeN6sW16IWq2gxeqk1Kxn/fLCaelB+/1B\ntFmKuFF3rVox7ch0uuQoBamhpcvFsfMd+AJBbD2D3HlXJfv+eBmPL4AkydhSXYzH60ellLNmST7n\nmrpj/n9Y81wRY8MLyvUsWZAdVzbPqFNx+KM2zLka3J74qSBtXQN8/vaKYa3rIhYVGTJuvZ4NiMTn\nFNHnisjipe8jLSvQI5dkfHS5i3uFMy0YpqPbzeGz7aiVcgpNWXF/qM25Wq60OGhsDkc+bD2D2Hqg\nKC/cXbPApIkuxoc/auPj4X+XFur57785H7OFPrqwBWDpguxxF+BMXZjjPQxk4oNBpuH1BllYHD8V\nYnGJEa/3psM5XkqOo9/D+hWFMddYVGzEOeCPG53TaVR8+dNLuNrSS+dwfrU2S0H/oIfGG3ZK8vV8\nfLWbuoud01J0USgkLl538GGDdUzU3esLsm3tgik71KlUoBF2nh7ONdnx+oN097rRaxVca7+Zqx8M\nhjh6PryOf2ZTGWcu21hUnBNXF3q0DV+43sOXP72Etk4XzVZnNE3k4OmW4e8xca5+R/cAFpuTQ3Vt\nbNtQRigUFA9ikyT1lXLzlHQ1bBmJSimntEDHtba+qPMumN9IkozLLTeLUjsdQxw+2x7Tqvjw2XZu\ntPexZlkBvkAIq32QkgI9pYUGjteHt9KzVIro4tw5nGenVsrH1T+NFLZAOAJSmKuduZueYYLBkNCc\nnkHkconlC3PD+rcj9NLVSjnLyk3I5bE/W/E0xwGWl+fEHG/vdtE/6Ilrz30DHvpdQ2Mk8zq6BsjR\nZ/Fxkx3noC8lLevb7QPR97XabxYMR45PlUQKNMki7Dx9WB1uzl3pJksl8ekNC9hUVcSN9rF1GR5f\ngPqrdtYtN7OsLDtmHhi0SobiRJjdHj8d9gEc/R4qy3Oob7Jz9Hx79IHI1jPIwmJD3HGVmvXYegaj\n793VO8h7Z9pEu/BJIiLTKSLaSjzFDVtGs7jYSLPNRf31Hm6/rTit7yWY/YyUABtZiDJ6e9zW4+bM\npS7WLy9AIckoytPyYYOVdZUFUZ3RCEX5Ws5d7p6wsKWqIg+ZDLKGBf/vqimdk9EsoTk9s8hk0HjD\nzhfuqKCtK9xOfP2KAhYUGGi8YeeujbHSoPFScm6/rYgPL1jZXGVmcMhPp8PN+uUFnLncFfc9Wztd\n9GTJabxxM2VErZSzbUMpRXkamtr6oseno+ji9wdZWGSIG21cVGycclQ6FQo0ws7Ty9GP28kxqKks\nz87oQbAAACAASURBVGXfHy8BJJTEUyvlvPnu1Zh5sG5tAQ3XesacD3C9rZ8NKwrodAzFfb0oN36u\nviSTxRwbWXQrpECTRzjTKSLa/VCT3o90cbGR9862C2daAIS3jYtytdECxNGLc2QruSRfx0eXu6Ld\nEb94RwVrlxVwqK4F56Av5vys4QU33vUiFJo0dDoGsfW48fgC3L154Zx0pEFoTs80oRDoNSp+98E1\nIJz/fKaxizONXWzbUEoojpnFS8lxDnox5+qx9QyQn6PBnKehtEAf15EtLdAT1mC66ZB6fAH6B7zI\nRm3gTkfRRaWSj+vUmE1aVKqJG9LEIxUKNMLO04ckyai/5mBpaTaXW2529yzI0cS1Bb1GRWuni7XL\nCvjdB9eir9t6BqlekofNPhgtoI28Vpyvw+3xU3epk5qV5mjjrsUlRnKzs6i72Mnnbl9EZ4+blk4n\ni4qMBIIhjn3cETPWSMofCCnQySCc6RTRM6ySYNCo0vo++dlZZOtUfHzNTiAYRC6JTJ35jN8fJNeo\n5jMbyxjy+lEpwluCvkCQLdXF0QVVksuoWWnmeH0HHl+A9m4XJkMWf7a5HKs93Bmu0KRh/YpC9v6h\nEQj/kGapFHEXe7VKgWVYTmwuq1wIzemZRy4Hp9sb4xBEOnk63V7kYzM6oozMbS8rNHLg0FUg7JBf\nbVVh1Kni2rNRp8I56B1zvdYuF5tXmaPf82hbn+z37/cHOXXBRs1KMx6vP5qfrVYpOHXBxr2fmHot\nTESBJnK/EeWeZOamsPP0EnnY6R3w0tEVTudRK+XY+wb50tYKmtr6YiTxrrQ60KgU5BjUMbbqCwRZ\nXBLugDxyXpy51MmCAh3nrnSTo1dx9Hw7Bq2SR++7jf/923qGPAFMRjW/P3oDlVJi90NrUctl/N0v\n6mK+19Epf0IKNHmEM50ievrDWytGXXrTPGQyGSsW5XKiwcrV1j6Wl0+9slyQ+Vi6XLzx7hXu21rB\njQ4Xao1E7ZpiTMYsfvfB9TGFVpHCwRabixabi42rzNjs4WhHtl7N74/dYEt1EZJMxtW2Pgxa5bC6\nR090C72qIpcL13tYVGyc8yoXQnN65gmFwkGJkfq6EfsdLzIdj9YuV4xDPuQJkleoYeMqM26PP8Z5\ncXv92PvGpjQtKjbycZOduzYtJBQKRW3d0uniVKMNa4+bolxNjKTkRCwqMeDzh2LyswEWLYif05os\n5YV6Hn9wNScabLTYnNSsNLM5ybk50s5HygZ6fAFh5ymiqiKP81e7URTpWVRsYMgbINeYhdU+ECOJ\n5/EFMGiVbFheyLkrsWoeW6qLYyLVkXnxpa0VhABzrhZbzyCfvK2Y1cvyWVORyyNfqKLuUhf9A15W\nLMxl/fIClg63H4+kRzU2OyjO05KXo+Hg6RZgbJBEPFAlJi3OtM/n49lnn6WtrQ2v18tjjz3G0qVL\neeaZZ5DJZCxbtow9e/YgSRJvvPEG+/fvR6FQ8Nhjj7Ft2zaGhoZ46qmnsNvt6HQ6XnrpJXJzczl7\n9iwvvPACcrmc2tpavv71rwPw2muv8d5776FQKHj22WdZvXp1Om4rIT1OD0qFFLcQJtWsHHamP7rS\nLZzpec7xeitrluZzqC4ckWrtcvHwZytp73YlLByMbOU1d/RTtSSXbK2aCzd6kGQy+ga8rFxk4j/c\nVRldPKsXmmIW09F/z2WE5vTM0z84tlOhxxeIGz0eD61ayaG6ljGOx+YqM5ctDhYVG7lsceD1Bfl8\n7WJsI2oMIPwda9Xh4EhJgZbaqqLwdbpcvHumNaqYA/DumVbuXF86oeMaDIZYVGyMyqGNfK8dI+bb\nVLB0umKUdyw2J6cv2pLOed5SVYTb4x8jGyjsfPpEvhtJkrHrz1ew74+XMBmykGQyTl60saW6GF8g\ngEoppzhPh1op4fb4uW1pHrbhrraJCsKb2vpQKiS0agUDQz6y1AquWHp557iFLbeZkUsy7H1DFORk\nYRwhkhBJj7J0ufjgXAcfN3WzZmk+SxZkU1maHX1wFHKLE5MWZ/q3v/0tOTk5vPzyy/T29nLfffex\nYsUKnnjiCTZv3sxzzz3HwYMHWbt2LXv37uXAgQN4PB527tzJ7bffzr59+6isrGT37t28/fbbvP76\n63znO99hz549/PjHP6asrIxHH32UCxcuEAqFOHnyJG+++SYdHR3s3r2bAwcOpOO2EtLTP4RRq0pL\n98PRVCzIRqWQOHulm+13Lp2R9xTMPiRJRlNbP7nZamw9g6xemkeZ2YDDNcS1OFXiEN4aLC3UU5Sn\no77JTqfDzebqYv73v9bH5OV1OdwsK82mLD+2TfhI5oMjDUJzeqaRyRi3I2FLp4tkl7uBId8Yx8MX\nCFKYq+W2pfm02lzctiSfkgI9Zy52cufGUvKzNahVcjzeADIJivI0OAe9/OlkC5eae1mxKIc+lzeu\nvF5poWFCm8jKUtDU2hffIWrt466NZQwN+ZO7wVGkIuc53n3dub50gv8lmIjjDVaUKon/dO8q2jpd\nVJab6HK4CRKONh+v70CXpeCONcUolQoUconWTheXW3q5bWkeJkMWV1p6ExaE55s0WO39OPo9+P0B\nDp9t51PrSjnRYMPnD2DrccctKh1deGqxOjl7uYtv79ogilInQVqc6XvuuYe7774bgFAohFwup6Gh\ngU2bNgGwdetWjh49iiRJrFu3DpVKhUqlory8nMbGRurq6vj/2bv36LjqK8H33zr1UqmqJJVeJcl6\n2LItP2T8kAWGWDiYBJxJwpBOwGB3u3NDku7JyrgXrEuGgWagmTCTyeLCnQm0u/v26ts9TTpOIPTt\nkJA3ARtjY4OMbSxbfsp6v59VJale59w/SlVWqUpSSZasKml/1spapHQk/06d3zm163f22fsb3/hG\nZNsDBw7gdrvx+XyUloZyympqajh69Cgmk4mamhp0Oh1FRUUEg0H6+vrIzs6ej12Ly+sL4hkNkJdl\nuSn/nkGvhFZVmgdo6/GwLE8m9VKkqhpbKvI4PvYhurwwkzffu8qu20sodU5eMUCn0/HJ5R42rMxh\nZXEmZ69048gwM+j2ceu6fEZ9oUogvz3Rwj23FlMq8yulG9CkGlVl0jrTywszUBMoeKEoOhrbY79Q\nfuqWwrjpT1+6qxxV0whqKpeaXSzLt1JZlsvB317AM+KPbHvmcjdVa/LjBq1XWwdRqqcPPBvjnJdT\nvZ6I8TnPE9M0Es15lgcQ54ei6NDpdGxbV0DvwCi/O9GE1WKkf8hLU6cLe7qRz9+xHNewnwGPn4x0\nHb+ubYwKbs1GPf9+RzkdvZ5Jq3+kmQxsrsijep2Tfzt8hR1blqFqKv6ASkGuja3rnHT3j3D0k/ao\nY/remfa4x/3ImXbMJuWmz4lUvcbOSzBttYZaarvdbv7iL/6CRx99lO9///uRFVSr1YrL5cLtdmO3\n26N+z+12R70+flubzRa1bXNzM2azmaysrKjXXS7XtMG0w5GOwTB9SkZe3vR5bM1jkzs3y0JW1s2p\nt7u5Io+LzQNcaB1i8/rkqeqRyPt1syXjmBI13Ty9bYOT1h43/a5ROvo8bNtQQL/Lh81ijF8GSdHx\n7skWIBQcnL3SyxdqVpDW7ubez5Tyk99dirlN/MBnVrFxVR7rV+TM785OIZWP4XQWy74lek0Nm2q/\nC3PjV7woyEnHYjFjsZin/fsFudaYyjaqpsUNDtB0/MuvL0TN/ZP13dx3Zzk/f+9qJDi1Wow0THLX\np63XQ06Obdp9mziu8ftst1uwz3I6bFiZTXG+jWBQxRdQWV6QgV6vkGU3RcY1lfqmyR9AHL8/qT5f\np5unc71/Rz9p5Z3aFkqd9rHSeI5IGs2Kokxau1y09XgwG/WYjHq6B0Ym6VTojtScjulwm2agINeK\nooOjZzrYtr6A42c7Yr40bqt0cseGQurHHdNLzfGP+8WWAQpzrXF/NnFOTGYm7+W5hl4OnWyhrqGP\nyhXZfLqq+KZ95szFMZ+3BxDb29v59re/zd69e7nvvvt44YUXIj/zeDxkZGRgs9nweDxRr9vt9qjX\np9o2IyMDo9EY929Mp79/eNpt8vLsdHdPv1pwpTFU99FsUBgYmP7v3qisrHQKstJQFB2HP27h7s1F\n8/5vJiLR9+tmutExLfQHx3TztDDLwtpSBxnpJvSKjt9/GHp4JCczLarGbp7DwvLCDGrPRzdwCNWj\n9rCqJJNzV/viXsTrr/Xz5uGr/J8Pb1mQFapknFdzZa72baHnKSR2TQ2bar9tNhNGgxK3k6fRoDAy\n4sXtnj53utRp4/TF64GHMzs9kj4yfvUW4Fr7UNy539bj5tZ1Tpo6XWxYmYPNYmLEF4gbDBfn2+ju\ndk25bxaLkeL80LgguupGcb4Nt3uUkRF/3N+dztpSBx+e72TUF+qwl+ewYDIqrC11JDTH1pZmxV3N\nXzPu9+divi70XJ1qns7lteZsYz8nL3Qz6gtQvc5JWYGdN965HBXgnr3Sy+e3L6f2fBd5DgvOnHTa\nut0U5KRHlb2DUOrTxtW5fGH7cvqGvFxtHaQw10pRnpW+wRGsFiPNHS6Kcq14J8mt9owGMOoVVhRm\n0N3tQlF0k3+5y7GyosDO8bMdMT9bk8Ccmsl7GZNO0j7E2x8235R0ksnGOdN5Oi911Xp6enjkkUf4\nzne+wwMPPADA+vXrOX78OACHDx+murqajRs3Ultbi9frxeVyceXKFSoqKqiqquLQoUORbbdu3YrN\nZsNoNNLU1ISmaRw5coTq6mqqqqo4cuQIqqrS1taGqqo3NcUDrlfysKfPb1m88dJMBsqcNpo63XQP\nxM+jEovfyUs9HPzdRQx6cI/6qV7nZMPKHAx6Bc9oAKvFxC2rcrjY1M+H5zqJd/espdPN6lIHXVPk\n41ktxhvu/CZEIhQFmjvccTt5Nne6SaQaqGHsYfBtlU62rs2n1Gmnal0exU4b2zcWsWFlDiaDng0r\nc9ixZVnMw4dhLZ1uNDRWFGVwrX2QD862s355dsyD5majnox0EwbD1INTFB1ZNiP37yinam0eJoOe\nqrV53L+jnEybEUWZ/fMvrd0ejtd1UlvfRVOni9r6Lo7XddI6SRvpicKdJCd2nZQHEGfubGM/f/3T\nM1xs7ifLZubM5W4uNvXHDXCbOlx09g3z8cVu+gZHKMhNj8zN7RuLInMiz2Ghp3+E05d7aO12U7Op\nkCybid6BUTQNLjUNMOTxccvKnCmv5b5A6LmBcDrFqmUZcefzymWZrCtzxP3ZXM+JuejeudDmZWX6\nb//2bxkaGuLAgQMcOHAAgL/8y7/k+eef56WXXqK8vJxdu3ah1+vZt28fe/fuRdM0HnvsMcxmM3v2\n7OGJJ55gz549GI1GXnzxRQCee+45Hn/8cYLBIDU1NWzatAmA6upqHnroIVRV5ZlnnpmPXZpSnyu0\nsjDfZfEmqijOoqHdRe2Fbj63bfb1SUXqOnUplMN5/toAq0uyeOeT+OXEHPY0VizL4GR9V8zfyHNY\nuNzUT3G+Le4KRbgj4mS5lxNfS9WcN5E8ro2tkE7s5Dm+/fJ086yhfYijZ9ojq9DN7UOsKcuJWR00\nG/Xcd2c51+KUP1yxLANNg4a2IdaUZVNR4qCpa5A/umslTZ0uWjrdkXxV14hv2g6GIyN+3CMBfnY4\nurzZSWM393+6fNar0oqio2GS1fWGtiGUW6c/J8Ol9U5OKKMm+dIzd+JcJ/6gys4txTR0DGG1GKcM\ncB0ZZlYuy4r7AOgdGwr56HwnaSYDzZ0uNqzKwTMcoLHDRWGeFW9gFL9fwx9U6eobYWjYT4kz/jMH\neQ4LVouR4RFfZD5UFGfFvQtUUZxJSd78P3w93zXOb9bn0bwE008//TRPP/10zOs//OEPY17bvXs3\nu3fvjnrNYrHwgx/8IGbbzZs389prr8W8vn//fvbv338DI74xC7EyDbC6OJPfftTMh/VdEkwvQWlp\nBhrbXWTZzRgNCkOe+OXEhjw+0tMMWExGKkodkfbhRr2CMzsdm8XEhaYB1oytQkzMxwt3RJxYb3Zi\nyaTK8hzONfRy/pqUUBI3Zqq8YoCfvHN5ylJdqqrR0hVK6QgH5Fk2M9c64gecXf3D2NONMd1ANVXj\n8Kk2IBTc1J7v4o93reFK6yCfXO5hx5Zifn+iCYCdW4unXVk2m0PnbLwxNLa7MJsNswqoDQaF9klW\noNt7PBgMyrSdFZu63Hx0vhPPaICegRF0OvjofCcZFqOcxzNgMCgMjwbYsXkZ751uQ9HpWL88m1Ff\ncNIA92JT/6Rl7zRN4/YNhbx3upWqijzS0wy4PT4yrCYyrSaMeoVfHGnAajFSUZLFvx26QvU656S5\n1Wga1WvyI6+X5tu4u6qYD+u70BFKh7p1bX7kmM/3w9fzVcv/Zpf0k6Ytc+B6MH1zV6bT04yUOe00\ntA/RMzBC7k2qJiKSg6IoVJQ5qLvSS25WGi3d8cuJtXS7uWNDAa//4TKqqmExG3j4sxU0tA/S2uXB\nPeJj67p8fnu8KarJRXG+jWKnnZ/+4VLMrb3JSiZVr3PS2DEkJZTEDSnJj853BsbKz9kYHvXz7slW\nHBlm3j3ZGjXPwh/4oQ6I0a3D09MMkQB7omvtQ/wfX1xPbX0XLZ1uip02Kkqy+OFvLkRt5/UHqW/q\np39wGNewn56BEe64pZDcLAttCeaHhoPeiVU3JguGE2Ey6SkpiL8aWVZgT6hNeX3TQNyV0aI8m5zD\nCWrqcnP0bDsGfehLVffACA9+ZjWvv32JL2xfEX+xwmTAajFOWvaupcuNLxDEqFdYXpTJv75zGaNe\n4b47V3Dh2gCWND2VK3LoHhghEAw9YHvsbDufuqUQVdNo6XRTmGulON+Gyaiwpjgr5ngmEjDP5+ru\nXNfyX4iSfhJMz4HO/hGsaQZMM3iSfa6sKc3iWoeLD+u7+He3l930f18snEAgSJbNjDPbgj3dhNVi\njAQP4z+olxdm8Muj1yIXw6o1+XEfhKle5+T9M22R3+3sH8YfULnn1tKYW3uT5biFm8J4/UEpqyVm\nLcNqZFulE58/VJnCZFAwGRUyrEb8AZUtFXmRihUGg8Kl1sGoVagv1pRiT49uHX6peYCqNflxS0aW\nF2XyT784h8+v4sgwU3u+i9rzXWxbX8D7Z9qitm3pdLO5Io/zjYO093q4bV0+ig7Wr8ieNuAIBlWW\nF9kpcdpjWqUb9DqCwQTq/sUxOhqgcCzPGaIfbHTmpE9Zu9pgUFBV7YbTRJa6pq7oZj5FuVYeuW89\npy/3cNv6Aj461xkzp0sL7Px0LDjesDJn0rsxFnMoVPvXd0MLIl41SHOnGzQYHgzgDwTxB9TIl0VV\n1ThyOnQtd2angwYWs4EB1+iU1+OFOsZzXct/Ico8SjB9gwJBld6hUZZNUkJmvlUUZ/G7D5s5VtfJ\n57aVSgOXJSQQUDHqdWypyKe+sY/cLAsWs4GqNfmRD+pbVuVQUergyOlQQDBVF63xgXBH7zCfvbWE\nP7kntivbVDlu4fy/cJ7rXOS8iaWnoW2IoAoBNVSZIj/bgl5VaGgborIsG38wumJFS5eLQx+H5nhj\nxxBbVufR7/ZSvc6JxaRnWb6NQc8oJqMh7upgXlYarmF/1MNWE8+JsGKnjQ/PtWNPN1KzsQjX8CgW\ns4lEZ/jasmz+91vnY1aAv/qFdbN+v0IPNpq4f0c5zV0uWrs8VK3NoyTfToY1/oONZxv7OXGuk6YO\nFyuLM3HYzXHP1UTTRJa6C82xK/unL/fwlZ0raexwkZuVRp4jnY7eYXp6POQ5LKiaxt3VxVxsHKC0\nwB5pJx5mNurJsJq42jqIPxAk32GJupOxuSIPNLjY3E9RrhVFr4sKyL3+UGpJnsPCzw5fYfumZUl7\nPZ6rdJL5zsGejATTN6h7YARNA4dt+rqn88FiNrByWSaXWgZp6nRTVrDwJbLEzWEy6QlqKgMeb6jL\nVVDlK3et4s33oh9u+uRyLzWbijj8cejW+FRdtMKBsNmox+cPcq3DFTcfdbIct3Cb8rAbyXkTS1ea\nycixT2Jbge/cWkLnwDC1Yw/Shl///Pbl2NONkWYYg8Oj3FKeDTqFcw29vFPbQrHTxi0rcth2SwHD\nw366+kfId1hwZKRRe76b7RuLYlaLW7vcUV8O7elGqtc5Kcm309U/TGffMBrgzDGDFpw2Z1pVtUmr\nOlxsGqBmQ8Gs37OgqsV9sHHvroqYbcPVJuI97DZxJX55Uca0D1YudYqio6XLHXNct64N3QkZHmvq\n9osjDTF3BL+ycxX2dBPuYR87txYz5PHR0u1mRWEGzpx0RrwBqtbmcbV1KPpOhkHHoNtHQ9sgeQ4L\ner2CXq+L+vIXXpm2WUy4hv24h31Jfz2+0fHNVw72dCSYvkGdY4GJw74wwTTALeU5XGoZ5MiZdgmm\nlxBV1QgGtcgDTWajntae2Au61x9EVTXMRj39Q95JbycWO2109g6zdW0+aSYDR860YzHHf/hoshy3\nNJMh6kIuZbXEbMRrBe71Bxke9WNPM8a83tM/wi0rc2nr9vD57YX0DnnJzkjjH38evQJce76LfZ9f\nx6u/PI8jw8wnY1/87rtzRfzOiJ9eSXuvhzSjger1+Qy4vBw900b5skwCQZXG9lC3xCG3lxy7OaHS\neFdb4zd9udo6OOvSeEajnotNA5HrwPhc7ItNA3xuW1nUynJtfVfc99c7YSXebNSzfrl8IZ5OXdNA\nVAfLUBBrId9h4a33rwGwYWXOpJ0znTnpfHC2A6vFiGfEj90a6hvQ0uWmpdNNidNGmslAS7c7Mjf/\n+HNrIo2Gwq/dut7JH921kmvtQ2TZzAx6vJHnYrZvLKK1y5O0K9Nzaa5zsBMhwfQN6uoLrVgsZDBd\nXpiBNc3AsboOvvzp8kh+lVj8FN31B5rGN6WYqKnDxabVuZiMepYXZsS9nZhlM2PUK3wwrnPWZLfF\n4uW4VZZnc66hj+WFGfNSQkksHfGah0DoQUGbbQU5mWY2lOdy9moPvYNeGjtc+AJBVi7L4pfvX+Ou\nLcto6fLEDV7ONfSSnWGifdxqc7jr3MRAtKXLxdXWAXZUFdPe7cEztsL4s0OxK8B77q3AbJ76uRm9\nXpmyUolerwAzT6dQVY3WLs+kq+vjz1+DQZm0i2PXwAi7bi+jpduNzWIk35FOfWM/t69zLvoAbLY+\nvtLLP711jltW5Y497F3IqC+AQVFo7Q7NwYKc9EnvCLb1eMiym3EN+yPVZDauyuP9cW2+J9458PqD\n1Df2c+s6Jxpw7Gw7ADaLkfYeDyuKMvjXd67E/P5Xdq5aEsdxrnOwEyFR1w1KhpVpRdFRVZHHe2fa\nebu2hS9+avmCjUXcPIGAijXNSFlh+Cl+jYLc+LWiC3Ot5GWmUV6cxdEzrWyrdKJp0NjhojjfhkGv\nY9Djpf5adBfEqW6Lxctx21DmWBIrH2J+TRVwjnoDrCnLjqr9fP5aD+carpcXW7fcwb8euhr3b7d0\nunn43rW88YfLFDttbKt08v+9c3XSQNRo0OPzqxwfayAx2QrjxeYBdgWmLlEaDKoxnRkh9GW2xGmb\n9QOIXm+AWyudvDkhzcNs1HP/p8vxeq8/gKiq2qTvb5nTzpDHR0//CBaTHpvFyKl6yZmeyskLXfj8\nKgXZ6dRsLIzkTZc6r98lnuqOYFlhRlRL70Sfa2npdJNpM3G5ZZCv3LWK1h435xr6KMy14g+o+CfM\nJa8/GFn8Wwrmu6TfRPPSAXEp6RxrTZq1QDnTYVUVeaSZ9PzmRBPDo7Mr/C9Si6pq9Lq8WNNCVQs6\n+0ZYlmeN27GqON+G3qCjq99DmslIniMdg15h+6YiBlxerrW7sFtMGMdVpEn0ttjEC5UE0uJGlRXY\n487jskI73/vnWo6eaaep08XRM+0c/O0FNq7Kjy4vpugodtoiv1cwrtJFidNGjt3I5oo8GloH+PFv\nL3BrpZOPzkd3D/zofCfV6/MxGvS0ja0wTvXMQUuXe9oHwBVFh2fEH9WZceva/FDTjBH/rNM8VFWj\nq384bgDW2TccdU6qqkZ5UfyudzodvHuyhaZOF++Pvbd3VS+b1ZiWApNJT3Onm5zMNGwWI0FVixyD\nzr7hyBz0+oOkmQxx3/OC7HQcGdfjh0Sea4FQ+/lr7UNUrcnnzfeuRs6J43Ud/Py9Bu7YUBjz+5dv\nIJUoVd2szyNZmb5BXf0j2CwGTMabXxZvPLNRz7Z1Tg6dbuOfflXPt760QSp7LHImk57WTg8o8Omq\nZQx5fIx6A3G7WRkMOpwOG5oOfnWskYLcMoaGfVw5PUhZoZ0Nq3IZGBph65p86hr6JE1DLChFR9x5\nrGlaVGMVCAUqF5r60aGR57DQ1Omif3CENWUODIou8jc2rMzBmmZgZUkWrT1u3nwvtHK9/ZYiOnsn\nC0RHsKbpI6lUUz5zkG/D5wtgtU6+sKKqGn0uLwZFwahXyM2yYNQrBFXod3ln/cGflmagYZJc7IbW\nIdLSDFHl8daWRHe9y3dYKC2w82+Ho1fzvf4g5671sWNjbGAm4NSVXkqcdszGUNOc5nFpdl5/EEV3\n/YHAY2fbuWNDIV5fgK6BEYrzbGRYTXT2e9hQnkvd1T5GvIEp51j4Ae/wAkltfRfeBFaxw+SB8Pkj\nwfQN8PqD9A6NUpyXHAHHrWvzudI2yEcXuvnV8SY+L3WnFz29QaEwJ513TzazcVUeer2CMuGDGqCj\nx4PFpMdhN3PPbWX8/L3Y28HffmAjG8ocPHjXSrngigV1/Gwny/JtUfPYbDLwYV1X3O2vtQ2xZY2T\nQbcPs1GPxaynqWs4bhMSW7qJu7cWU+q0k+ewUFGWydsftsT9u43tQ6wuycJuCz3kNX6FMaaEWbpp\n2lW/QEClzGnnZ2NB6/h60Pd/uvyGqmZM1zVyvIld71aXZPH+mfa4531Lp3vJrWYmoqnLzcuvnWb7\nxkL0io6rbUMU5KRHHYOjn4QCaE0LdeRUFB2bVufy9kctUQ+BHj/byX13ltPc6aK9N5TzHO+5xEnQ\nAAAAIABJREFUlrwsC1vX5rO8MCNSnWm6NuXhSjTyQPj8kmD6BrR0udE0yE+SzoOKouO+Ty3nh7+9\nyE/fvUKaSc/dVcULPSwxTxRFR0FOOoPuUXZsXoYlzcjvjjdSs3kZ7d3XV6GCaugBFVUN5XteaxuM\nu5JRd7WPDWWyciEWXlG+NaqBUDjgrFqbz7U4Ja8Kc61sWpXLwd9e5PPbl1OUa+NcY/x57h7xMzzi\nwxcIcvZKL54RPyXO+M8ahPKYNQqy0yddYczPsmA2GXCP+MYeIJycqmroDbqoVeHwirlBf2O5naVO\nO6cvdscEYONzd6O2H8spDVcgaex0TVrlR64JsY580gFAz9AoPn+QLLuZNJM+6ouWqmp8dL6T2zcU\nUlGaRd3VHlRV49qEB2xDzXEGsVqMpKfpOX2x+3qZvK5QB8PKFdnU1ndytS3UXKd7IBRE37Jq8upM\nBr2C2WhgbZncaZxvEkzfgMaxCex0JEcwDWBPN/HQ3as4+PYl/uV3F8m2p7F5de5CD0vMg0BAxaCH\nPEc67T0eauu7qVyZy8hogFOXe8iymSJVCSA0X8sKMyZdyZAGKyJZLC/IoPZ8V6SBEIQCwzWlDk5O\nKOsWvuVdtSaX3xxv4pfvX0PRNK5NUrHiWtsQAxXZmAyhUmLbbymks3+Yj87H/t3VJVmM+gL4Ayrb\nKp0Mjwbo6h/B6wuQZTdTUebg5+9dxedX+crOVWja9OdOUbaV1k53zN2jwuzZN/4KBFR0Oi1uagw6\nLe6Kd1OXe1zXSAcbynP4+EI3I+MeVjQb9Ql1dlxqFEWHQa9jw8ocuvtHKHbaKMq18atj17jvznKu\ntQ3SNXYM0kwGTpzr4HN3lFG1toBPLvfE/Zvd/SMU5Fg5/HErAE2d7kgQfryug0BQjTQjWVGUQfdA\naPvlhRl8cjl2Fdug6CjJt/HIv1srx+8mkGD6BoTrSjqz0xd4JNGyM9L48o5yDr59ib97s47vfv02\ncpNk9VzMLZNBz+tvX465lR1uDR4W/lBs6nBROMntYMmnE8kgEICmriHuu7Ocrr5h3CP+UJm27HSG\nvb64AWP48RCDQcHrD1KYb6egZ3jStIfbb1nG5tVOAgGVtDQDT//dZe67s5y2bjctXW6K820U5dk4\nfLINnQLV6/JJTzMQUDXyHRZWFmfS1uPhyKk2NqzMYVmenaauIUZHA9inKfV/9movh09Fr7p7/UEs\nZiOVZY5Zv2/ukVAQbDEZWF2ShXes+kb49fGautx879Xa61+0O4YwG/XsuXcNF5v6I+9Bcb4Nrz8g\nX7InuNbp4p3alpjr7n13ltPYPkhBTjr52elcaOqnIEfPQ5+toLnThWvYN676UrTlRRn0DY5Q6rST\n7wjd7ThxroOqNfm4hv1094+wY3MR6HT87kQT2zcVcfxsOy2dLnZuLWFo2EtLZ2gVuyjPSnf/CMc+\n6eCerXJ3+maQah43oLHThUGvIycjbaGHEqMwx8q9t5bg9Qf5x1/VoyawYiJSi6pqNMfpujW++YKi\n6Ni+sYgNK3M4d7WPoKqxbnl2TC1yyacTyULTNMqcGXT1eRj2+ukZGGHY66erz0O2LXStnbiqa7MY\n0TRYXhiqAvJxfSelTlvc6gklThuBgBpZrfX5gixzWvnpHy7xyZUeMm0mPrnSw0//cImC3HSK8+1c\nbR3kndpWggGV4gI7/3boKu+daqOp08WxTzr4+XtXsaWZEmraEl5dDK+6T6zpPhuqqmFPN1CQY0XV\nNC41D6BqGgU5VuzphphA+L1xNYzDvP4gn1zp4UJTX+Q9eO3tSzS2u6UD4gTvnY7//rV1u3EN+xn1\nBcmymQkGNU7Wd3OpeYABtzdyl2XH5qKoY2026gkGNc5e7eUztxbT7/Iy6gtQtSY/UkO6IDedD+o6\n+N2JJka9QYbcPtYtz2FVSRZ9rlFqz4eeJ2jvcfPL969x5HQb5UUZ8iXoJpGV6VkKBFVauz3kOyxJ\n+3BG5fJsLjQNcL6xn/fPtHPnpqKFHpKYQ9M1X9ixuQi9XolZQfnofCf37yins3+Ya20uyacTSUWn\n0+EPqnEfHizItTKxFHNQhWsdQ/zqWAMuT2jlOt+RTm5mWtxV7NzM6MUPVdUozA2VlHQN+yNdEc1G\nPQa9jg/OtlO9zhnqwOgN0DVJ5Y8hj2/afZuvVsehzyBdTDvxcJ3p8SvLiqLjUstA3L/T3T+C0aCP\nvAcQSosxGBQJqMcoii6qLvR4LV1ubl2fT93VPoZHA1xrH2L7xiI+Oh87l7+0o5yPzndRNtZ0rXdw\nhC/WrKBnYAR/QI16ANFs1FOSb6ejd5hP3VLEpoo8Xn7tFCPeAPZ0I1/cvoLTF7ujVrzNRj35SXbX\nfDGTlelZau32EFQ1nI7knaw6nY57by3BaFB4/d0ruEek/vRiotcrLJukkkxeloWzV3sY9PjifvBf\naR0ky2riuUdu5aGdKyWQFkljdNQftWIb5vUHaWwPfRmsa+jFHwhS19DL+2fauNo6hE5R+M3xJoIq\nWNOM9LtHqSjLxmoxkptlwWoxUlGWTb97NCpoVRQdJ+o6qV53vfbzp24pZOfY7fF/f2c5bd0edm0r\n4092raGlO36X0ZbuxKpe3FFZEHfF/EbuDBkMCo3trknfs4kr5mUF8XNR8hyWyMOe47eV1c1oJVO8\nf++ebKGyPJvOvmFKnbZJS9f1DI5yz20l9A6OoAHpaSb+7dBVugZGKXHa2bAyJ1KHvHqdk7ZuN0W5\nVvZ8ZhV3bl7GE39cxa5tZVSUOjj2SUfU/A3/zgdnO5J2sW+xkZXpWTrX2AdAUW7yBtMQeiDxU5UF\nHDrdxmvvXOaRz69b6CGJOaIoOjKtprhlulYUZeKwm7nYNPkKlFxiRTJKSzPGVDsIa+/x8NnbSuno\n9dDdP0JFqYM0kwHQyMmwoKraWHDdT0VpNi3BYSwmPbeszKG1y835hj4MBl1ME5Nl+TbeP309j/mT\nKz1YLUbWlDrYuNLBF24vRVU1FEXHisIMmjpic15XFGUktHo7X62Ow7Wwp3vdYFDId6THvW5Y0wwx\nrzlzkvsz7mbzBzWWjd3JmPhepZkM2C0m0HTkZ1vw+tRJH/i+1jZEls1McZ6Vo2faIvXTywrs/OzQ\n9dKJZ8fuElSvc2KzGCNzd3yHv4NvX+I3x5si8ze8qr1rW5l8EbpJJJiepbNXQ8H0ioKMBR7J9KrX\n5HG+qZ8jZ9qpXpPHxpVS3WMx8HoDjPoCVK9zRtog5zssLC/K5K33G1BVbcri/87sdLnQiqQzOupn\nWZ5t0oD18MctkcAjfMv8K3eviqqSoKHDYjZEpThBKODZubU4Km1BUXTYLde/lIbzWn1+FUuakZK8\n6yuzqqqxsjiTD852xPzdlcsyEz6f5rrV8ehoYMoH28Y3bFFVjdrzXVHXjYLcdLLtFtwjPrauzY+k\nxaSZDHx0vosvSs8CmrrcHD7TzuXmAQrzrPzRXStp7XLT2OGKlKFTVY0ta/P5xfsNeP1BzEb9pNfg\nEqeNd2pD/QHC89ls1GO3GHnwM6u41DxIe48n0tr+5IUunvjjqpi/o6oad1QW8O7J1pjqN/IczM0j\nwfQsjHgDXGwewJkdunWY7PR6hS/cXsb//s0F/u7NOh5/eAsrCpP/S4CYmqpqLC/K5OBvLgBwz22l\n+PwB2rrdkfJWkzWYsKYZuHVt/oKMW4jpTHbHxZmTHrcDYmuXm4tNfZHX/IEgQ8PxU5yGhn0xwSWo\nUcFlOJBE02KC3dI8G/fvKKdlXOWP4jwbpbNo3jVXX2YVRUfJWAv2ie9ZiTM6aA8EVEoKbLw3rqLI\n+YY+Kkod1NZ3xaxufra6ZMl/6Z5Y/aSp00V7t4eqNbmYTXo+PN/J5z+1nF8caaCi1BHZbqomP4W5\nVjaU53D6cg+lTjsFuemkm430u728/WEz37x/A43tLk5d6iY308ITf1w16d2L+brbIRInwfQs1Df2\nE1Q1ylMoIM3LsvD5baW89UEj3/+Xk9y1ZRnrl2dT6rSRZZu8/a1IXqqq4fMH+OoX1nGhsZ/ugREa\nO4YwGa7nY4YbTISDhOJ8G8sLM6gozpQLrUhKqqrF3HHJc1jIy7Jw4mxn3N9paBuifFkm7b2hW+pl\nBZm0dE6S29zljnmg7vb1BXzv1Vog+tb6k/u2xvx++Lzx+gJYzQbS0wysL3Ms6Pmkqhr9gyNxy/v1\nDY7GBMO3rnNyYuwBz/BKpjXNELM6bzbq2Sh9CjhW1xHzxayzb5juwRFWF2fjHvZztXUIq8VI94S0\njvA1OBBUae/xXF/xP9fFF2tWgAa5WRYUdKiqisVk4LHdmynNt7G+JCuSYjSdub7bIWZGgulZOFEf\nKkGTSsE0wPrl2Rj0Cr+vbeG3Hzbz2w+bASjITufTm4u4u2oZRoN+mr8iksma4izONvTR0uXGH1Dp\nH/JG3VYM55CajXru31HO57cldmEWYqEYDAo5mRZ+caQBuB7crijKID8nfdIOiJ+6pZDW7mFWLcuk\nON/GxeaBuLfXy5z2mNzmiSt7d1XlTbmyl4yBy7Z1oS8EJqMSauRxpYfa+q64Xwg2lDn49gMb+fBc\nJ40doWZOy/Kt3KqF7ryOX50/1xDqjLpUjS9nOJ7XH6TMmcnB317AkWHGZNDHXH/h+jX49soCgMiK\n/6c2FvLPvz6P1xuksjyH5YUZrC3LirnDMdP5lSzzcamRYHqG+l1ePqzvIjczjaLc2XesWigVJVmU\nF2XQ0O6is3+Yzv5hGjtc/OQPl/nDyRa++rm1rF+evdDDFAkqc9r55QdNtHS5IxfxeLcVAdYvl6Ys\nIvmNz+n1+QN09o2wcVUOZYV2QMfpi/FTGSrLsqn82vVufdmZadTG6ZZ46/rJ80gNesjJTCPRNYVk\nOp8mfiH41C1FU34h2FDmYEOZA4MhlOv77P/7YaR5y/g0j+WFGUn1peFma+x0UZxviylnaDbqudYR\nau09PoieLK1Dr1ciQbbZqKeswM7RM6Ea0tkZadxbLc1VUpkE0zP07setqKpGVUUeOl1q1kMw6BVW\nF2eyujgTCK1EHKvroPZiN//Xj0+xY1MhX/n0SuzppgUeqZiOouho7/FE5eZNTO1YsSyDwhzrrHI6\nhbjZVFVjRXEGPp+KXgk1Z9ErCj6/hj8QiFs72jPiR1F0USvOGRZj3G0z4jznMjEnFuD3H7bw5L6t\nKZUONZsV8/B7Fq5/PT7NA5Z2Z9TwvKhe54wJkJ3Z6bR0hVKJprr+ljhtLMuz0dU/TKnTTrHTxuri\nLH76zmUgFFj7/AGautwpNddENAmmZ6BncITffthMmklP5SJavbWYDdxdVcy6smx+faKRw6fbOXG+\ni51blvHpzUXkJ3Et7aUuEFBZPvYU//iLeHOnixVFGdy+oYCf/uESW9fIw4YidawoyOBffnMhKnix\npxupXpdPUI3ugBhUQwsCE1M3jtV1RLXtDq+0WszGmKAlXk6s1x/kWF1nSgY4swl+x1eECFvqFSHC\n8+LY2Xa+fNcqrrUN0jX2xcxmMeEe9UWqzky8/i7Ls/KZW0s4+LuLvH+mndsrCyjISceWZmBo2EdO\nRhpry0KlHY+caY87L0XqkGA6QUFV5Z9+VY/XH+Tz20oxTtM2NhUV5qTzp7vW8vGlbo6f6+RXx5v4\n1fEmVhZlsHVNPlsqcpO6Sc1StW1DQaRbXDg/2pmdjl6v8PP3GtDpdEs+71GkDkXRUdfQFxPcuob9\n5GWl87PD12vwhhuM/PHn1sT8jYltu8PCbbvHdwSMlxMbb9vFTCpCRBs/L4x6hYa2Qc5e6Y36YrZ9\nY1FkxTqcG21PN/JHd62isd3F//7l+cjcaevx8Lnby2jucvPrY41k2kxRXQ6X0lxbjCSYTkAgqPIP\nb53n3LV+yosyqFyxeFalJ9IrOqrX5LNpZS4Xmwc429DL1fYhrrQN8do7l3E6LKxbns3q4kxWLssk\nLzMtZdNdFot1xVncv6Ocq62hVZN8hwWzycC7J1vYUpHH2Su91DfKhVqkjskakJyo62T3Z1ZzpXWQ\nli43W9fmU5Rn4/DJNnbcUhhVDzrRtt3z1eI7FSXjg5ULZfy8cGSY6e4fifliduxsO/feVop7xE/T\nWL3pFUUZvP72pUh50rD1K7K5fV0+jR1DjHgDMT9fanNtsZFgegqjvgAf1nfxsyMNtPV4WJZr5b5P\nLV8SwaPRoFC5IpvKFdl4Rv1cbh3kSusQTZ0u3v24lXc/bgXAZjFS5rRRnG9jVWk2ejTMBoWgquEe\n9TPk9uEa8eP1hb59m016rGlGrBYDFpMh0uZWVTU0TUPR6Ugz6bGnm8iym7GmGWb0fmuaxrA3QL/L\ni2fET3PfCCMeLzaLEYfdjMW8OKf88qJMfnXsGlaLkU/GVjvCHbm8/qBcqEXKUFWNVSVZ8StxFNp5\n7e1LURUrjn7SHrfT20zSFiTFIZpcK0LC8yJelQ4IvU/dAyNcax+kKNfGJ5d70BH7RcRs1HP72IOv\nMtcWp8UZWczSmSu9/PKDRnz+IO4RP31Do4TPiU2rcrhr8zLMxqVXOs6aZmTTylw2rcwlqGp09g3T\n2uOhvddDR98wddf6qbvWz29ONM/5v23Q68hIN5GeZsBk1GNQdOh0OnQ60DTQCKXg+Pwqw6MBhoZ9\n+Kdo6Ws26rGnG0N/z6BHr+gwm/Ts+cxqnNmpm8Jy5+ZlDI/6OXOph2vtQ5GyVsfOtsuFWqScHRsL\nef90W0zAsXVtPh+c7cA17OeTsVrQk83vmaQtSIqDiGf8vNApukkbYPUOeukdDKUcnbzQxbcf2Ejd\n1b64c0nm2uK0aIJpVVX5q7/6Ky5cuIDJZOL555+nrGxmLVA7ej1cbhlEr9eRbjawpiyb0nwr29Y5\nk6oMXm6enZ70hTt04SogYcOjAdp6PYwGNdo6XXj9QfSKDmuakQyrEZvFSJrJgKZpeP1BPKMBhkdD\nrbADwet5izodaKrGqC/I0LCfQbeXAY8P97CP3qFR/AE1sv14ekWH0aBgMRsozEkny2Ymy2bCZjGS\nYbcwMDSCe9jPgNvLgNuLe8RPZ98I/oCKqmkYDQp9Lm9KB9MAVStzyM800zmQy+lL3TR1uri7qpia\njYVyoRYpZaqAYyaByEzSFiTFQcQzfl7cvi4/Zu4BWMzGmPm4ocwx6VySubb4LJpg+ve//z0+n4+f\n/OQnnDp1iv/xP/4Hf/M3fzOjv3HvbaXce1tp5P/n5dnp7o691bjQzEY9piRaITcZ9WTZzTft/dI0\nDQ3QwbQpINONSdNCF7LFkrpTnGujONfGrRWhrmVyoRaparKAYzaByEzOAzlnRDyqqk05J+PNx+nm\nksy1xWPRBNO1tbXceeedAGzevJmzZ88u8IjEfNHpdMxV6LtYguiJ5CItFovJ5rLMcbFQ4s09mY9L\n26IJpt1uNzbb9Vt9er2eQCCAwRB/Fx2OdAwJtLnKy7PP2Rjnkowrcck4pkQlOk8htfdzOrJvyW8m\ncxUWz37HI/uWvKabp6myf6kwzlQYI8zNOBdNMG2z2fB4rpdTUlV10kAaoL9/eNKfhSVrmoeMK3E3\nOqaFvhgkMk8hOd/7uSL7ltjfWWiJzlWQY5qq5mLfFnquTjVPU+XYpcI4U2GMMPk4ZzpPF03nkaqq\nKg4fPgzAqVOnqKioWOARCSGEEEKIxW7RrEzfc889vP/++zz88MNomsZ//+//faGHJIQQQgghFjmd\nFi5nIIQQQgghhJiRRZPmIYQQQgghxM0mwbQQQgghhBCzJMG0EEIIIYQQsyTBtBBCCCGEELMkwbQQ\nQgghhBCzJMG0EEIIIYQQsyTBtBBCCCGEELMkwbQQQgghhBCzJMG0EEIIIYQQsyTBtBBCCCGEELMk\nwbQQQgghhBCzJMG0EEIIIYQQsyTBtBBCCCGEELMkwbQQQgghhBCzJMG0EEIIIYQQsyTBtBBCCCGE\nELMkwbQQQgghhBCzJMG0EEIIIYQQsyTBtBBCCCGEELMkwbQQQgghhBCzJMG0EEIIIYQQs2RY6AEs\nlO5u17TbOBzp9PcP34TRzIyMK3E3Oqa8PPscjmbmEpmnkJzv/VyRfZveQs9TSHyughzTVDUX+7bQ\nc3WqeZoqxy4VxpkKY4TJxznTeSor01MwGPQLPYS4ZFyJS8YxzYfFvJ+yb4vPYt5v2bfUlSr7lwrj\nTIUxwtyNU4JpIYQQQgghZkmCaSGEEEIIIWZJgmkhhBBCCCFmSYJpIRapjr5hVFVb6GEIIYQQi5oE\n00ucougWeghiHrx17BpP/T8f8GF910IPRYgbItcoIWLJeZFclmxpvKWuqcvNsboO6hsHWFuWxR2V\nBZTm2xZ6WGIOBIIqbxy6CkBD+xDb1jsXeERCzJxco4SI1dTl5qeHr1J3tU/OiyQiwfQS1NTl5nuv\n1uL1BwFo7Bji3ZOtPLlvq5yUi8DRsx2R/7anGxdwJELMjlyjhIgl50XykjSPJehYXUfkZAzz+oMc\nq+tcoBGJuXS5dTDy3/6AuoAjEWJ25BolRCw5L5KXBNNLjKLoqG8ciPuzC039koe1CASC6rj/lgcQ\nRWqRa5QQseS8SG4STC8xqqqxtiwr7s/WlDqk+sMiEBi3Gi0r0yLVyDVKiFhyXiQ3CaaXoDsqCzAb\no1tomo167qiUB9UWg/Gr0eNXqYVIFXKNEiKWnBfJSx5AXIJK8208uW8rx+o6udDUz5pSB3dUOuUB\nhkXCPy6A9kswLVKQXKOEiBU+L07Ud3GuoU/OiyQiwfQSVZpvozTfhqLo5PbQIjM+zSMgaR4iRck1\nSohYpfk2tlYW0tvrlvMiiUiaxxInJ+PiE5CVabGIyDVKiFhyXiSXeVmZ9vv9PPXUU7S2tuLz+fjW\nt77FqlWr+M//+T+j0+lYvXo1zz77LIqi8Nprr/HjH/8Yg8HAt771LXbu3Mno6Cjf+c536O3txWq1\n8v3vf5/s7GxOnTrFf/tv/w29Xk9NTQ3/8T/+RwBeeeUV3n33XQwGA0899RQbN26cj90SIiX4ZWVa\nCCGEuGnmJZh+8803ycrK4oUXXmBgYIAvfelLrF27lkcffZRt27bxzDPP8Pbbb7N582ZeffVV3njj\nDbxeL3v37mX79u0cPHiQiooK9u/fz1tvvcWBAwd4+umnefbZZ3n55ZcpKSnhz/7szzh37hyapnHi\nxAlef/112tvb2b9/P2+88cZ87JYQKcEfVDEbFbx+VVamhRBCiHk2L8H05z73OXbt2gWApmno9Xrq\n6uq47bbbANixYwfvv/8+iqKwZcsWTCYTJpOJ0tJS6uvrqa2t5Rvf+EZk2wMHDuB2u/H5fJSWlgJQ\nU1PD0aNHMZlM1NTUoNPpKCoqIhgM0tfXR3Z29nzsmhBJLxBUMRr0eP2qrEwLIYQQ82xegmmr1QqA\n2+3mL/7iL3j00Uf5/ve/j06ni/zc5XLhdrux2+1Rv+d2u6NeH7+tzWaL2ra5uRmz2UxWVlbU6y6X\na9pg2uFIx2DQT7kNQF6efdptFoKMK3HJOKZEJTpP4fp+qhqYjHoMvgAoupTe/7DFsA+TWSz7NpO5\nCotnv+ORfUte083TVNm/VBhnKowR5mac81bNo729nW9/+9vs3buX++67jxdeeCHyM4/HQ0ZGBjab\nDY/HE/W63W6Pen2qbTMyMjAajXH/xnT6+4en3SYvz053tyuh/b2ZZFyJu9ExLfTFIJF5CtH76fUF\nMRv16BWF4ZFA0h2TmUrGeTVX5mrfFnqeQuJzFeSYpqq52LeFnqtTzdNUOXapMM5UGCNMPs6ZztN5\nqebR09PDI488wne+8x0eeOABANavX8/x48cBOHz4MNXV1WzcuJHa2lq8Xi8ul4srV65QUVFBVVUV\nhw4dimy7detWbDYbRqORpqYmNE3jyJEjVFdXU1VVxZEjR1BVlba2NlRVlRQPsaQFgip6RYder5Om\nLUIIIcQ8m5eV6b/9279laGiIAwcOcODAAQD+8i//kueff56XXnqJ8vJydu3ahV6vZ9++fezduxdN\n03jssccwm83s2bOHJ554gj179mA0GnnxxRcBeO6553j88ccJBoPU1NSwadMmAKqrq3nooYdQVZVn\nnnlmPnZJiJQRCKro9Tr0igTTQgghxHzTaZq2JIsVJnL7IVlvU8i4EpfqaR6Jjj28n5qm8fXvv0Nx\nng3PqB9V1fi/99fM8yjnVzLOq7mymNI8ZrIfckxT02JI85hq/Kly7FJhnKkwRkjyNA8hxMIIBEPf\njQ1jK9NSGk8IIYSYXxJMC7GIhNM69HrJmRZCCCFuBgmmhVhEwt0PDYqCQVGiuiEKIYQQYu5JMC3E\nIhJZmR6r5qFpEFQloBZCCCHmiwTTQiwi/nFpHgYldHoHAkvyGWMhhBDippBgWohFJNw+XK8o6PWh\njqPyEKIQQggxfySYFmIRCVfzCNeZBiRvWgghhJhHEkwLsYiEV6ENig6DfizNQ1amhRBCiHkjwbQQ\ni0gkzUM/Ls1DVqaFEEKIeSPBtBCLyPhqHpEHEGVlWgghhJg3EkwLsYj4x5fGU+QBRCGEEGK+STAt\nxCJyvZ24gj6cMy1pHkIIIcS8kWA6RShjq4xCTMUfCAJjaR5SGk8IMQvyeZM85FikBsNCD0BMranL\nzbG6DuobB1hblsUdlQXk5dkXelgiSUWtTI9dhKVpixAiEfE+b0rzbQs9rCVJjkVqkWA6iTV1ufne\nq7V4/aHVxsaOId492cp//fM7yLOZFnh0Ihn5A+M6II6lecjKtBBiOpN93jy5b6sEcTeZHIvUI2ke\nSexYXUfkZArz+oMcOtmyQCMSyS4Q5wFEyZkWQkxnss+bY3WdCzSipUuOReqRYDpJKYqO+saBuD87\n19AXlUclOVUi7HowLe3EhQiTa+TUpvq8udDUL+/fTTTTYyHHJjlImkeSUlWNtWVZNHYMxfxs/Yps\nVFWTnCoRI26ah6xMiyVKrpGJmerzZk2pA1WV5y5ulkSPhczt5CLBdBK7o7KAd0+2Rt0En8sPAAAg\nAElEQVTuMRv1fLqqWHKqRFyRBxDHp3nIyrRYguQaOTOTfd7cUelcwFEtTdMdi3MNvTK3k4wE00ms\nNN/Gk/u2cqyukwtN/awpdXBHpZP1K3J45bWPJ82pkpNp6YqkeegV9NIBUSxhU+WdyjUy1mSfN/Je\n3XzTHYtDJ1tkbicZCaaTXGm+jdJ8G4qii7rVNl1OldyWW5rGd0CM1JmWNA+xxCSSdyrXyFiTfd6I\nm2+yY6EoOuoa+uL+jszthSMPIKaIiSfH2rKsuNtJftvSFhiXM62X0nhiiQrnncYj18jpyfuTPCYe\nC1XVqFyRHXdbmdsLZ16D6dOnT7Nv3z4Azp07x5133sm+ffvYt28fv/zlLwF47bXX+PKXv8zu3bt5\n5513ABgdHWX//v3s3buXb37zm/T1hb6FnTp1igcffJCHH36YV155JfLvvPLKKzzwwAM8/PDDnDlz\nZj53KWncUVmA2aiPek3y20Q4pcOgSNMWsbTJNVIsVp+uKpa5nWTmLc3j7//+73nzzTexWCwA1NXV\n8bWvfY1HHnkksk13dzevvvoqb7zxBl6vl71797J9+3YOHjxIRUUF+/fv56233uLAgQM8/fTTPPvs\ns7z88suUlJTwZ3/2Z5w7dw5N0zhx4gSvv/467e3t7N+/nzfeeGO+ditpSH6biCdSzUPaiYslTq6R\nYrFavyJH5naSmbdgurS0lJdffpn/9J/+EwBnz56loaGBt99+m7KyMp566inOnDnDli1bMJlMmEwm\nSktLqa+vp7a2lm984xsA7NixgwMHDuB2u/H5fJSWlgJQU1PD0aNHMZlM1NTUoNPpKCoqIhgM0tfX\nR3Z2/Nsgi4nkt4mJwtU89Hrd9QcQJWdaLFFyjRSLlczt5DJvwfSuXbtoabneqW/jxo08+OCDbNiw\ngb/5m7/hr//6r1m7di12uz2yjdVqxe1243a7I69brVZcLhdutxubzRa1bXNzM2azmaysrKjXXS7X\ntMG0w5GOwaCfchuAvDz7tNssBBlX4pJxTIlKdJ5CaD91Y6kdOdk2hkf9AOgN+pR+DyC1j+F0Fsu+\nzWSuwuLZ73hk35LXdPM0VfYvFcaZCmOEuRnnTavmcc8995CRkRH57+9+97tUV1fj8Xgi23g8Hux2\nOzabLfK6x+MhIyMj6rXxrxuNxrh/Yzr9/cPTbpOXZ6e725XwPt4sMq7E3eiYFvpikMg8hev7OTwS\nCqDdrhFGfKHSSW6PN+mOy0wk47yaK3O1bws9TyHxuQpyTFPVXOzbQs/VqeZpqhy7VBhnKowRJh/n\nTOfpTavm8fWvfz3ycOCxY8eorKxk48aN1NbW4vV6cblcXLlyhYqKCqqqqjh06BAAhw8fZuvWrdhs\nNoxGI01NTWiaxpEjR6iurqaqqoojR46gqiptbW2oqrokUjyEiCcQVFEUHTrd9aYtkjMthBBCzJ+b\ntjL9V3/1V3z3u9/FaDSSm5vLd7/7XWw2G/v27WPv3r1omsZjjz2G2Wxmz549PPHEE+zZswej0ciL\nL74IwHPPPcfjjz9OMBikpqaGTZs2AVBdXc1DDz2Eqqo888wzN2uXhEg6/qCKYSyINkgHRCGEEGLe\nzWswXVxczGuvvQZAZWUlP/7xj2O22b17N7t37456zWKx8IMf/CBm282bN0f+3nj79+9n//79czRq\nIVJXIKihH6vioURK40kwLYQQQswXadoixCISCKiRKh7hVA9/UJ70FkIIIeaLBNNCLCL+gBqpLw1g\n0OskzUMIIYSYRxJMC7GI+IPXV6YB9IoiwbQQQggxj2YdTI+Ojs7lOIQQc8AfUCM50xBq3uKXnGkh\nhBBi3iT0AOJvfvMbXnnlFUZGRtA0DVVVGRkZ4YMPPpjv8QkhZsAfVDHox69M66Q0nhBCCDGPEgqm\nX3jhBZ5//nn+8R//kf/wH/4DR44cob+/f77HJoSYAVXVUFUtUhIPwKBXGPEGFnBUQgghxOKWUJpH\nRkYGt99+O5s2bcLlcrF//35OnTo132MTQsxAeAV64sq05EwLIYQQ8yehYDotLY2GhgZWrlzJiRMn\n8Pl8uFzJ3yZSiKUknBsdnTOtSGk8IYQQYh4lFEw/+uij/M//+T/ZuXMnx44dY/v27Xz2s5+d77EJ\nIWYgEkyPS/PQK7pQ+ocmAbUQQggxHxLKmb7tttu47bbbAHjjjTcYHBwkMzNzXgcmhJiZQJw0D8O4\nLogmo35BxiWEEEIsZgmtTLe2tvK1r32Ne++9l+7ubvbv309LS8t8j00IMQPhlemonOmx/5a8aSGE\nEGJ+JBRMP/PMM3z9618nPT2d3NxcvvjFL/LEE0/M99iEEDMwWZrH+J8JIYQQYm4lFEz39/dTU1MD\ngE6nY/fu3bjd7nkdmJg9ZVwwJZaO69U8opu2jP+ZEKlGrmdiqZNzIPkllDOdlpZGR0cHOl3ogH70\n0UeYTKZ5HZiYuaYuN8fqOqhvHGBtWRZ3VBZQmm9b6GGJmyQQqeYR3U4cICAVPUSKkeuZWOrkHEgd\nCQXTTz75JH/+539OU1MT999/P4ODg/yv//W/5ntsYgaautx879VavP4gAI0dQ7x7spUn922Vk2+J\niLcyHf7vgKR5iBQi1zOx1E11DuTl2Rd4dGKihILp3t5efvrTn3Lt2jWCwSDl5eWyMp1kjtV1RE66\nMK8/yLG6TvnwWSKu50xHN20BSfMQqUWuZ2Kpm+oc2FpZuECjEpNJKGf6hRdewGg0snr1atauXSuB\ndJJRFB31jQNxf3ahqV/yrZaI69U8otuJg1TzEKlDrmdiqZvuHBDJJ6GV6ZKSEp588kk2bdpEWlpa\n5PUvfelL8zYwkThV1VhblkVjx1DMz9aUOlBVyZddCuLVmdYrkuYhUotcz8RSN905IJJPQivTDkfo\n4J0+fZrjx49H/ieSxx2VBZgnNOUwG/XcUelcoBGJmy1uabxINQ8JQETqkOuZWOrkHEgtCa1Mf+97\n34v6/x6Ph1/84hfzMiAxO6X5Np7ct5VjdZ1caOpnTamDOyqdkl+4hMRt2qJImodIPXI9E0udnAOp\nJaFgOqy+vp6DBw/yi1/8guXLl/PQQw/N17jELJTm2yjNt6EoOrkVugSFA2Z9nGoe0rRFpBq5noml\nTs6B1DFtMO31ennrrbc4ePAgFy9eRFEU/u7v/o7bbrvtZoxPzIKcdEtTZGVakZVpsXjI9UwsdXIO\nJL8pc6aff/55PvOZz/C73/2Offv28f777+NwOBIOpE+fPs2+ffsAaGxsZM+ePezdu5dnn30WVQ19\nuL/22mt8+ctfZvfu3bzzzjsAjI6Osn//fvbu3cs3v/lN+vr6ADh16hQPPvggDz/8MK+88krk33nl\nlVd44IEHePjhhzlz5szM3wUhFgHpgCiEEELcfFMG07/+9a/ZuHEju3btYufOndhstkgXxOn8/d//\nPU8//TRerxcI5V0/+uij/OhHP0LTNN5++226u7t59dVX+fGPf8w//MM/8NJLL+Hz+Th48CAVFRX8\n6Ec/4ktf+hIHDhwA4Nlnn+XFF1/k4MGDnD59mnPnzlFXV8eJEyd4/fXXeemll3juuedu8C0RIjX5\n43RANEg1DyGEEGJeTRlMHzp0iAcffJC3336bu+66i29/+9uMjIzg8/mm/cOlpaW8/PLLkf9fV1cX\nWdHesWMHR48e5cyZM2zZsgWTyYTdbqe0tJT6+npqa2u58847I9seO3YMt9uNz+ejtLQUnU5HTU0N\nR48epba2lpqaGnQ6HUVFRQSDwchKthBLSfyVaWknLoQQQsynKXOm9Xo9O3fuZOfOnfT19fHzn/+c\nlpYW7rzzTr785S/zxBNPTPq7u3btoqWlJfL/NU2LrGpbrVZcLhdutxu7/XpbTKvVitvtjnp9/LY2\nmy1q2+bmZsxmM1lZWVGvu1wusrOzp9xxhyMdg0E/5TZA0rbtlHElLhnHlKhE5ykQ2c6RlU5WpgWA\nTFfozpApzZDS70Mqj306i2XfZjJXYfHsdzyyb8lrunmaKvuXCuNMhTHC3Iwz4Woe2dnZfPWrX+Wr\nX/0qdXV1/OQnP5nRP6SMeyjK4/GQkZGBzWbD4/FEvW6326Nen2rbjIwMjEZj3L8xnf7+4Wm3ycuz\n093tSmj/biYZV+JudEwLfTFIZJ5CaJwudyhwHvZ40WuhleiRkdBdpMHB0aQ7NolKxnk1V+Zq3xZ6\nnkLicxXkmKaqudi3hZ6rU83TVDl2qTDOVBgjTD7Omc7ThJq2TCyBt27dOj7++OMZ/UPr16+PNHo5\nfPgw1dXVbNy4kdraWrxeLy6XiytXrlBRUUFVVRWHDh2KbLt161ZsNhtGo5GmpiY0TePIkSNUV1dT\nVVXFkSNHUFWVtrY2VFWddlVaiMUofs60VPMQQggh5tOUK9N/+qd/yokTJwBYu3bt9V8yGLj77rtn\n9A898cQT/Jf/8l946aWXKC8vZ9euXej1evbt28fevXvRNI3HHnsMs9nMnj17eOKJJ9izZw9Go5EX\nX3wRgOeee47HH3+cYDBITU0NmzZtAqC6upqHHnoIVVV55plnZjQuIRaLSM70+A6IitSZFkIIIebT\nlMH0P//zPwOhEnlPP/30jP94cXExr732GgArVqzghz/8Ycw2u3fvZvfu3VGvWSwWfvCDH8Rsu3nz\n5sjfG2///v3s379/xuMTYjGJ2wFx7GFEWZkWQggh5kdCOdNPPfUUP/rRj/jggw8IBALcfvvt/Mmf\n/ElUHrQQYmH5gyo6HShRK9NK5GdCCCGEmHsJBdMvvPD/s/fm0W1d973vBwfzSIIkBk7gIIoURZqa\nJcuSZctJ7NSxmqRxfWv3ub1Nb1+Tlb6+pO/2NekU367cuF15yerrWk37VldvXuvcJNc3zUuTumka\nO3YUy7ItS9ZAShQ1kARHAARBEhMxvz9AgAQBUOA8aH/+EXVwAOxz8Nu//T2//du//RUGBwf5xCc+\nQSqV4nvf+x5DQ0P80R/90Xq3TyAQlEg8nszZ/RDmy+SJ0ngCgUAgEKwPJYnpc+fO8f3vfz8biX70\n0Uc5c+bMujZMIBAsj1gimU3ryJCtMy1ypgUCgUAgWBdKytNIJBLE4/Gc/8vlpdcTFQgE608snszJ\nl4YFCxBFmodAIBAIBOtCSZHpM2fO8Gu/9mt85CMfAeCVV17hqaeeWteGCQSC5ZEW07mR6ex24kJM\nCwQCgUCwLpQkpj/1qU/R3t7O22+/TSqV4lOf+hRvvPHGOjdNIBAsh3giiWrRzl6ZxYgizUMgEAgE\ngvWh5B0QH3nkER555JHs/3/v936PF154YT3aJBAIVkAsnkSrzu3SMpkMuSQjJhYgCgQCgUCwLqy4\ntl0qJQZngWArUShnGtIVPcSmLQKBQCAQrA8rFtMymezeJwkEgg0hmUyRSKZydj/MIJckkTMtEAgE\nAsE6sWSax/PPP19QNKdSKSKRyLo1SrB8JElGMilmC+5XsluJF4hMy+UyIaYF2xbh2wT3C8LWty9L\nimmxRffWx+kOcL5nnN7BKfY0lHO8w47DatjsZgk2mFgsAZBXZxrSkWlRGk+w3RC+TXC/IGx9+7Ok\nmD569OhGtUOwApzuAC++dJHInJAaHJ/hjUsjfOH5Q6Ij3mdE53Ki5QXSPBRyGeFIYqObJBCsGOHb\nBPcLwtZ3BivOmRZsPud7xrMdMEMkluB8j2uTWiTYLKJzdlAszSMqFiAKthHCtwnuF4St7wyEmN5E\npAJRxOW8t3dwquBrN52+VX22YPsxG007Y6Uiv0urFHJi8aTIxRNsCzbKtwkfKdhsxDi+/mzUPSy5\nzrRg7ViL/KhkMsWehnIGx2fyXmtzmIVwus8Iz8YB8jZtSR9LC+xILJFXh1og2Gqst28T+amCrYIY\nx9ePje7nYmTdYNYyP+p4h503Lo3kTBGplXKOd9jWtM2CrU84OiemlfmR6Uy0ejYqxLRge7Bevk3k\npwq2GmIcX3s2o5+LkXWDWSo/ark/ssNq4AvPH+J8j4ubTh9tDjPHO2xiULgPCUcykekCaR7KdLR6\nNhoH1BvZLIFgRayXb1tL/ysQrAViHF97NqOfCzG9gSzMj1Ir5ZhNanwzESKxRDY/arnTOg6rAYfV\nIOpT3udk0zyUxdM8MnnVAsF2IOPbFAqJ+BosoC0lP1X4UMFmUGgcF/a4MjarnwsxvYEkkynaG8up\nsxqYjcbx+MJ07qpEo1Jg1ClX9QOLTnd/MxstJTItxLRg+7DWOY8iP1Ww1UkmUyKnf5VsVj8XYnqD\n2dtUyV9/92p2CsLp8qNWyvnM010lvT+zMnW7PLVul3ZudzJpHsqlFiAKMS3YJqxXzqPITxVsZUqx\n+42s8LFdx+/N6OdCTG8wPXe9BXN5eu5O0tlgLvo+pzvA29fHAYlAOIrT5ae9wbxln1rF0/XGks2Z\nLrgAcWHOtECw9VmvnEeH1cBvfayTSzfdDLsC1NkMHGyzCt8k2BIsZfcyGbzVnR5TO5orOLpn/ex2\nu4/fm5GHLsT0BrLSXJ7M0+rhdhvv3XDNR7XH/WsSrVnrp0+xYn7jWbI0nlLkTAu2D5Ik48agr+Br\nvYOry3nsHvTxd9/vBsBsUnPxhpuLN9x85umuJYMZAsF6s7TdT3JjYBKnyw+kx9TXLgyty5i6U8bv\njV5PtuFi+uMf/zgGQ/oHqaur41Of+hSf//znkclk7N69my9+8YtIksTLL7/Md77zHRQKBZ/+9Kc5\nffo0s7Oz/P7v/z5erxe9Xs9f/MVfUFFRweXLl/mv//W/IpfLOXnyJL/zO7+z0ZdVEivN5TnfMw6k\nI4trGa1Zr6dPsWJ+41mqNJ5KIXKmBduHZDJFvdWIc9yf91q9zbCqgfHd6/PBiHFvKOe4ENOCzWQp\nu6+1Grh2eyLn2HqNqTtt/N6oNJUN3QExEomQSqV46aWXeOmll3jxxRd58cUX+exnP8u3vvUtUqkU\nr732Gh6Ph5deeonvfOc7/P3f/z1f+9rXiEajfPvb36a1tZVvfetbfOxjH+PrX/86AF/84hf56le/\nyre//W2uXLnC9evXN/KylsXxDjvqRRUXlsrlyUSzzSY1Hl+44Dkr2Skp8/T543ecDI7P8ON3nHz1\nO+8zXuQ7SkXs6LQ5LFkaL1vNQ6R5CLY+kiTDqFMW9JMGrWrFPkShkAoKFUjP8ikK9B2BYKNI272q\noN2bdCr0WmXee5YaU1fST8T4vXI2NDLd29tLOBzmk5/8JPF4nN/7vd+jp6eHo0ePAnDq1CnOnTuH\nJEkcOHAAlUqFSqXC4XDQ29vLxYsX+U//6T9lz/36179OIBAgGo3icDgAOHnyJG+99RZ79+7dyEsr\nmeXm8mSi2W9cGuFAq4VoPJEtp5dhJStUFz59SpKM453VzEbj/O33u2lvXHkutlgxvzksWRpPOb8D\nokCw1UkmUwTCMQ6327JVjyxmLRqVguBsdEU+RJJkxONJ6u3G7FT5QhrsxjUpvycQrJS0XScL2r0/\nFMU3E8l7T6ExddwX5ty1Ubrv+pY94yzG75WzoWJao9Hwm7/5m/zyL/8yAwMD/NZv/RapVAqZLP20\no9fr8fv9BAIBjEZj9n16vZ5AIJBzfOG5mbSRzPGhoaF7tsVs1qEokF+6GIvFeM9zlovFYuRQR3XJ\n5z92xEE4EieeTKFSyLPl9M53j6GUSzx2pH7Z7ex1zj99Hu+szs3FdqVzsf/st4+zt6lyWZ9rsRh5\n7Iij4EralbRzLdiM71wrSrXTcCSOJMmorNBn+1OGaMb/SdK2vRfbtd2lsFOurVRbzbDUdRt0Kl5/\nL+3HzSY13Xe8AJw+vDwfcr3fy88uDdPTP0lHUwX7d1dxqdedncmBtG860GZd099hp/ymhdju13Yv\nO93M6zt92MGf/j/ngVy7P/NwM+DOOXfxmHq938tP3hmkzzmFxaylzmrgJxeGlj2Wr+X4vV1sZS3a\nuaFiuqmpiYaGBmQyGU1NTZSXl9PT05N9PRgMYjKZMBgMBIPBnONGozHn+FLnmkyme7bF5wvd8xyL\nxYjHU3hacCMJh6K80+PKK6f3Kx9spbWuDItBtex27nGUMzg2g1opL5qL/dMLQ1gMqpI/M3O/LAZV\nwej7Stq5Wlb7G262MyjFTiGdD61USExP56fpRMJRAKZmZreEPS+XrdIP14O1urbNtlMo3VahhOtO\n5UboMgEEUqmS71feQqo5f3fm4Wb6R6dzIn99Th/7mytKbv9SCHu992dsJkvZ6Wb/dovHziN7y0ml\n4Ptn73Bsrz3bHxrsRj5wqC47pi629YxGON5Zzbmro8say9dq/N7se1kqxdq5XDvdUDH93e9+l76+\nPl544QVcLheBQIATJ07wzjvvcOzYMc6ePcuDDz5IV1cXf/mXf0kkEiEajXLnzh1aW1s5ePAgP/vZ\nz+jq6uLs2bMcOnQIg8GAUqnE6XRSX1/Pm2++uWUXIN6LYqtOiy0I8E7P4jhYu6LvytRhLCUXeyVT\nO2Jnxo0lFIkXzJeG+QWIos60YLvw4F47L750EciN0H3h+UMlf0Yxv9k/Ok2f04deq6T7TrpUaWO1\nSfgqwZZg4dg56PLz5X+8SDye5NzVUdRKObYKHWdONVOlnxfHxWx9NhpHrZQveyzfzPF7u/bDDRXT\nTz/9NF/4whd49tlnkclkfPnLX8ZsNvMnf/InfO1rX6O5uZknnngCuVzO888/z3PPPUcqleJzn/sc\narWaZ599lj/4gz/g2WefRalU8tWvfhWA//Jf/gv/+T//ZxKJBCdPnmTfvn0beVmrZqmqGuu1NWYm\nd/tCrxvP9GzBPMK1yJHajp1iOxKejRcsiwegFAsQBduMhf7JNRniUJuVI8uoq7uU3/T4wui1ypxq\nHiIfVLBZFBvDk8kU9ZbCa6zaGyuz0dR72brZpF6xfW9kn9juta03VEyrVKqsAF7IN7/5zbxjzzzz\nDM8880zOMa1Wy1/91V/lnbt//35efvnltWvoBrJwekatlBOJxXnr2hj/x68cwGE1rOuCgMzTp9MT\n4EqfR+wKto0JR+IYtJqCr0mSDIVcJkrjCbYhKVJz/y6Hpfym1azl2lykG9K+rmONUjwEglIpJh4X\ni+t7RYmXsnWLWUuf07flx/KdUNtabNqyCSzsFOd7xoklkpzaX8NsNMG4N0Stw0Df8HTWiDqaKwsu\nCFirAcBR5Ol3M414u071bAbxRJJ4Ilk0zQPSVT6EmBZsF5zuAD+9NExwNp5NQ/vppWEeO1hXsl8q\ntqVwY00ZCrlENJ7uM3K5xPX+pXegvd8Q/ndtWXw/F4vHIbefcCSOUiHn9vB0wcjsUr9HMVtvc5g5\n81Djuo3la2UnO6G2tRDTG8jiJ9FH9tfS55zmlx5t4Yc/v5uzeKD7jpfW+jIcFgPX+70Fy+Ws5QCw\nVXKct/tUz2aQEcmFyuJlUCkkkeYh2Db0DU8VXHRdZzWW7A8WlyHd02BGJpMx7g0SSySZmEr7Urlc\nos85tem+bysg/O/aUux+LhaPDz1QnWPvy43MFiy522mj0WZcF5teSztZr1TWjUaI6Q2i0DTGW9fG\n+Pgju7jpnCr4VPbqe8M8cbSem4PT9I9No1bKs4tx1mvRzGYL6e0+1bMZZETykpFphRx/KLpRTRII\nVowkyRhyBQr6xCGXf1ULqV69NMxP3xvKE+mfON2yLQbs9STjfyG96PONSyPC/66CouPZrx3KEY9q\npZxkKlXQ3t+8OsZzH9xd0vctXrj4Vvc433ild80fitZ6nN4pta3Flk8bxOInUUmScaDVgndmlrGJ\nYMH3OMf9/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9loglCksBYY9QSzovx4Z3XeLphvXBrhE4+10LmrMi845ZkK84XnD2MvUKd9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yR82kBwUm7s+KIgOf311FjkEX27/9e1fP6GGrsb9XpphrnQyGyStGLaRk6n6xvQejQsXGtcX0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doFz/Z6Hmzbiq4Pu/O41320saOz0Q+0c+PK5Xtf1JdXmjl+toSfzv9K0eUyiq9XcuO3YlZj\n1aDTarjP3RW3ls600bfgfvcWtHVzxa2VMy2cdWg1GixWBYvViqnKSmVV9T8x18tNlBhN/FpWifG3\nz6XmTLby242RNfdHajTVhb9Oq8HVRYeHvgVurZxxa+VCK1cndFoNpioLxhtmjDdMv+/PbFE/96bQ\nbIppq9XKkiVLOHbsGC4uLsTHx9O5c+cmfQ/P9no828vlRWGfJD9FcyL5LO4WD30Llk8JpF07Ny5f\nrjvNur3RaTV28Vg+fUtnAnzaEVDPtOSOciybKs5mc3vmf//7X0wmE8nJycydO5eEhASbvZd07MKe\nSX6K5kTyWQhh75pNMZ2bm0u/fv0A6NmzJwUFBfc4IiGEEEII0dw1m2LaaDSi1/8+nk6n02E2m2+x\nhRBCCCGEEI3TbMZM6/V6ysp+n2rWarXi5HTz5rVt2wonJ91NX6/Rrp19zlkvcd05e4zpTt1pnoJj\nt/N2pG3278/kKjSfdtdH2ma/bpenjtI+R4jTEWKEpomz2RTTAQEB7Nmzh7CwMPLy8vDx8bnl+sV3\nMBe9vQ6gl7juXGNjutedwZ3kKdjnsW8q0rY728+9dqe5CvKZOqqmaNu9ztVb5amjfHaOEKcjxAg3\nj/PP5qlGUZrHBOw1T/M4fvw4iqKwYsUKvL2973VYQgghhBCiGWs2xbQQQgghhBB3W7O5AVEIIYQQ\nQoi7TYppIYQQQgghGkiKaSGEEEIIIRpIimkhhBBCCCEaSIppIYQQQgghGqjZPGe6KdU8Zu/YsWO4\nuLgQHx9P586dm2TfVVVVvPrqq5w7dw6TycS0adN46KGHmDp1Kl26dAFg3LhxhIWFsWXLFpKSknBy\ncmLatGkEBwdTUVHB/PnzuXr1Kq1btyYxMZH77ruPvLw8li9fjk6nIygoiJkzZwLw3nvvkZmZiZOT\nE6+++ip+fn43jS0yMlKdRbJjx47ExMQQFxeHRqPhkUce4fXXX0er1d7VuFJSUkhNTQWgsrKSo0eP\nkpycbBfH616zZZ42tR9//JE33niDTZs2cebMmXueV02hvu9yt27dmkXbbMWRcvZ2GprT9qyxOe2o\n7CEvbdWf2MLVq1eJiorik08+wcnJyS5jXL9+Pbt376aqqopx48bxxBNP2DZORdSxa9cuJTY2VlEU\nRfnhhx+UmJiYJtv31q1blfj4eEVRFKW4uFgZMGCAsmXLFmXDhg211vvll1+UESNGKJWVlUppaan6\n8yeffKK88847iqIoyo4dO5Rly5YpiqIoBoNBOXPmjGK1WpV//vOfyuHDh5WCggIlOjpasVqtyrlz\n55SoqKibxlVRUaFERETUWjZ16lRl//79iqIoyuLFi5X//Oc/dz2uP1qyZImSlJRkF8fLHtgyT5vS\nhx9+qIwYMUJ57rnnFEWxv7xqqPq+y82lbbbiKDl7O43JaXvW2Jx2VPaQl7bqT5qayWRSpk+frgwZ\nMkQ5ceKEXca4f/9+ZerUqYrFYlGMRqPyzjvv2DxOGeZRj9zcXPr16wdAz549KSgoaLJ9Dxs2jNmz\nZwOgKAo6nY6CggIyMzMZP348r776Kkajkfz8fPz9/XFxccHNzQ1PT08KCwtrxda/f39ycnIwGo2Y\nTCY8PT3RaDQEBQWxb98+cnNzCQoKQqPR8PDDD2OxWLh27Vq9cRUWFnLjxg0mTZrExIkTycvL4/Dh\nwzzxxBPqe+3bt++ux1Xj0KFDnDhxgjFjxtjF8bIHtszTpuTp6cm7776r/m5PedUY9X2Xm0vbbMVR\ncvZ2GpPT9qyxOe2o7CEvbdGf2EJiYiJjx46lffv2QOP7c1vYu3cvPj4+zJgxg5iYGAYOHGjzOKWY\nrofRaFSHOwDodDrMZnOT7Lt169bo9XqMRiOzZs1izpw5+Pn58corr7B582Y6derE2rVrMRqNuLm5\n1drOaDTWWt66dWuuX79eJ97bLa+Pq6srkydPZsOGDSxdupR58+ahKAoajabOPu9mXDXWr1/PjBkz\nAOzieNkDW+ZpUxo6dChOTr+PKLOnvGqM+r7LzaVttuIoOXs7jclpe9bYnHZU9pCXtuhPmlpKSgr3\n3XefWmhC4/tzWyguLqagoIA1a9Y0WT1zO1JM10Ov11NWVqb+brVaa3WcjXXhwgUmTpxIREQE4eHh\nhISE8PjjjwMQEhLCkSNH6sRQVlaGm5tbreVlZWW4u7vXu+7Nlv8xcf7Iy8sLg8GARqPBy8sLDw8P\nrl69esf7tFVcAKWlpZw6dYrAwED1GN3r42UPbJ2ntqLV/t7t3Mu8agr/+11uTm2zBUfN2dv5M5+7\nvWtMTjsqe8nLpu5Pmtq2bdvYt28f0dHRHD16lNjY2FpXyOwhRgAPDw+CgoJwcXGha9eutGjRolZB\nbIs4pZiuR0BAAFlZWQDk5eXh4+PTZPu+cuUKkyZNYv78+YwaNQqAyZMnk5+fD0BOTg6PPfYYfn5+\n5ObmUllZyfXr1zl58iQ+Pj4EBATwzTffAJCVlUWvXr3Q6/U4Ozvz888/oygKe/fupXfv3gQEBLB3\n716sVivnz5/HarXedBD91q1bSUhIAODSpUsYjUaefvppDhw4oL5X796973pcAAcPHqRv377q7/Zw\nvOyBLfPUlnr06GEXedVY9X2Xm0vbbMVRc/Z2/sznbs8am9OOyh7y0hb9SVPbvHkzn3/+OZs2baJ7\n9+4kJibSv39/u4oRoFevXnz77bcoisKlS5e4ceMGffv2tWmcGkVRFJu0xoHV3Nl7/PhxFEVhxYoV\neHt7N8m+4+PjycjIoGvXruqyOXPmsGrVKpydnXnggQdYtmwZer2eLVu2kJycjKIoTJ06laFDh3Lj\nxg1iY2O5fPkyzs7OrF69mnbt2pGXl8eKFSuwWCwEBQXx8ssvA/Duu++SlZWF1WplwYIF9O7du964\nTCYTCxYs4Pz582g0GubNm0fbtm1ZvHgxVVVVdO3alfj4eHQ63V2NC+Djjz/GycmJf/zjH0D1GK1l\ny5bd0+NlD2yZp02tqKiIf/3rX2zZsoVTp07ZRV41Vn3f5YULFxIfH+/wbbMVR8rZ22loTtuzxua0\no7KHvLRVf2Ir0dHRLFmyBK1W2+j+3BZWrlzJgQMHUBSFl19+mY4dO9o0TimmhRBCCCGEaCAZ5iGE\nEEIIIUQDSTEthBBCCCFEA0kxLYQQQgghRANJMS2EEEIIIUQDSTEthBBCCCFEA0kx7YC+/vproqKi\nMBgMhIeH8/HHH99y/ejoaPX5ijfj6+tLREQEzz77LOHh4YwdO5Zjx47Vu25ERESDYxd/XQcOHCA6\nOvqO1//fdc1mM0FBQSxbtqypQxPNWFFREb6+vrz22mu1lh89ehRfX19SUlIoLCxk4sSJGAwGhg8f\nzsKFCykvLweqHxu6dOlSRowYQXh4OOPHj1efc3+r9xw0aNBNX09LS2PkyJHq5BwbN25UXxs0aBBF\nRUWNaLFojsxmMx988AGhoaGEhYUxdOhQ1q1bR30PZLtZDk2ZMoVLly7d9r1GjhxJTExMk8T9V+H4\nU0/9xVy6dInExERSUlJo27YtZWVlREdH4+XlxeDBgxu17y+//FL9OSkpidjYWNLS0m65nhC28t13\n39X6PSsri7/97W9kZGQwb948WrZseY8iE47Gw8ODb7/9FovFgk6nA2Dnzp3qxDcvv/wyK1aswN/f\nH6vVytKlS1mzZg0LFizgs88+w2q1sn37djQaDbm5uUyfPp09e/bg7Oz8p2NJTk4mKSmJ9evX0759\ne0pLS5k0aRItW7bkueeea9J2i+Zj6dKlXLlyheTkZNzd3TEajcyYMQM3NzfGjx9/R/v46KOPbrvO\nsWPHcHZ2prCwkAsXLvDQQw81NvS/BDkz7WCKi4upqqqioqICqJ43PiEhgW7dupGRkcHo0aMxGAwM\nHTqUgwcP1tn+ww8/JDIyEoPBwMqVK+v9rxagT58+nD59Gqg+Qzhz5kyGDh2qns0BKCkpYcaMGYSG\nhhIREUFOTg5QXfSMGjWKZ599lpkzZ1JcXGyDIyGai3Xr1hEWFkZ4eDgJCQlYLBbi4+MBahUXKSkp\nhISE4Ofnx1dffaUuj4uLIyYmhtDQUHbv3k1+fj7jxo0jMjKSSZMmcfbsWaC6OK9ZPmjQIDIyMu5u\nQ8U907p1a7p3716rT8zOzuapp54Cqmefq+lTtVotM2fOJDQ0VH2tqqqKqqoqoHp2tRUrVmC1Wutc\nbYmLiyMlJQWAyspKZs+ejcFgYObMmfz6668AfPDBB8TFxdG+fXsA3N3dSUxMrDPrntFoZNasWYwZ\nM4bg4GDmz5+PoihcvHiRCRMmEBUVxahRo8jLywMgMTERg8FAZGQk7733XpMfQ3HvXLx4kfT0dBIS\nEtSprfV6Pa+99hoPPPBAnT7wZmrOWEdGRnLo0CEALBYL/fv35+rVq0B1P/v0008zePBgtmzZom77\n7rvvMnnyZMLCwti8eTNnzpzhxRdfJDIyknHjxnHkyBEAjh8/TnR0NCNHjiQ4OLjWVZfmTIppB/Po\no48yePBgnnnmGUaNGsWqVauwWq106tSJpKQk1q1bR3p6OlOmTGHDhg21ts3KyqKgoICtW7eSlpbG\npUuXSE9Pr/MeiqKQnp5OQECAuszX15ddu3bRvXt3ddmaNWvw9PQkIyODlStX8vbbb3Pt2jVWr17N\nhg0bSEtLIygoiDfeeMN2B0Q4tG+++Ybdu3eTkpJCamoqZ86cISkpiUWLFgHwxRdfAHDt2jWys7MZ\nPHgwoaGhJCUl1dqPh4cHGRkZBAUFsWjRIlavXk1qaiovvvgiixcvBuDzzz8nPj6e1NRUli9fzvvv\nv393GyvuqdDQUHbt2gVAfn4+vr6+6pnlBQsWMG3aNIYMGcLixYs5fPgwPXv2BGDixIn8+OOP9O3b\nl2nTprFx40b8/f1p0aLFLd/v6tWrREdHk56ejqenJ2vXruXatWtcuHCBv//977XW9fb2rrMsMzOT\n7t27k5yczK5du8jLy+Pw4cNs3bqVgQMHkpKSwvz588nNzeXcuXNkZWWRnp5OUlISp0+fprKysqkO\nnbjH8vPz8fb2pk2bNrWWe3t7qzNP1vSBtxpeVCMiIoKdO3cCsH//fnx9fbn//vupqqoiPT2d0NBQ\nQkND2bp1K2azWd3OZDKxc+dOxo8fT2xsLPPnzyc1NZVly5apM7V+8cUXTJ8+nW3btrFx40beeuut\npjoMdk2GeTigpUuXMn36dPbu3cvevXsZPXo0b7zxBmvXrmX37t2cOnWK7777Dq229v9KOTk55Ofn\nExUVBUBFRQUPP/yw+nrNWGiTyYS3tzf//ve/1df8/PzqxHHw4EG1UPb19SU5OZk9e/Zw4cIFJk6c\nCFRP0/q/HYAQNfbv38/w4cNxdXUFqsfqpaWl1blsmZ6eTmBgIG3atGHw4MEsXryYI0eO0KNHD+D3\n/Dx9+jRnz55l2rRp6rZGoxGAVatWsWfPHr7++mt+/PFHysrK7kYThZ0IDg7m7bffxmq1kpGRQWho\nqFpQREVFMWTIEHJycti3bx9xcXGEh4ezcOFCOnbsyI4dOzh06BD79u0jLS2Nzz77rN4hcH/k5eWl\nTvluMBiIi4tj+vTpADe9IvhHI0aMID8/n88++4yffvqJkpISysvL6du3Ly+99BJHjx5lwIABTJgw\nAZ1OR4sWLRg7dizBwcHMmTPntsW+cCwajUb9+euvv+aDDz7AarXi4uLCI488Uu/f6JsZPnw4Y8eO\n5ZVXXmHHjh0YDAag+uRGu3bt6NatG4qioNVq2bNnDyEhIcDv/WxZWRkFBQUsWLBA3Wd5eTnFxcXE\nxcXx7bffsn79eo4dO6bee9DcSTHtYDIzMykvLycsLIyRI0cycuRItmzZwubNm1m9ejURERH06dMH\nX19fNm/eXGtbi8XCCy+8wIsvvghAaWmpOn4Qbj0WuqbY+SMnp9rpc/LkSSwWCwEBAaxbtw6ovtQp\nRYu4GavVWmfZH8+E1EhJSeGXX35Rz7potVqSkpLUf/hq8tNqtdKxY0c1ly0WC1euXAHg+eef58kn\nn+TJJ5+kb9++zJs3zyZtEvZJr9fz6KOPkpuby/79+5k7dy47d+7EbDazdu1aZsyYQUhICCEhIbzw\nwgs8++yzLFy4kDfffJPx48fj5+eHn58fMTExjB07luzsbO6///5ahXHNUBCo2z86OTnh4eFBp06d\nKCgooE+fPupr3333HVlZWbVyctOmTezatYvRo0fz1FNPcfz4cRRFoVevXnz11VdkZmayc+dOUlNT\n+fTTT/niiy/U/YwdO5ZNmzbh5eVlwyMq7pbHHnuMkydPYjQa0ev1DBs2jGHDhlFUVKSeuKrvb/TN\ntGvXji5dunDgwAFycnLUm3O3bdvGhQsX1H7WaDSSlJSkFtN/7GddXFxq1QwXL17Ew8ODWbNm4e7u\nTnBwMGFhYbWG5DVnMszDwbi6urJ69Wr1Tl1FUThx4gQuLi5otVpiYmIIDAwkKysLi8VSa9vAwEC+\n/PJLysrKMJvNzJgxQ73s2RC9e/dWz+ycPHmSKVOm4OfnR15eHqdOnQLg/fffZ+XKlQ1+D9G8BQYG\n8tVXX1FRUYHZbGbbtm0EBgYCoNPpMJvNHD58mIsXL5KZmcnu3bvZvXs369evZ/v27epZ5xpdu3bl\n119/5fvvvweq/zjMmzePkpISTp8+zezZsxkwYADZ2dl1vh+i+QsNDWX16tU8/vjjarFbXl7Oxo0b\n1Xs+AE6cOKEOabt06RJr167FZDIB1feKFBcX4+PjQ9u2bTl79iyVlZWUlJSQm5ur7uPkyZPqONKt\nW7eq47MnT55MQkICly9fBqqHMCUkJNC5c+dasWZnZzNmzBgMBgMajYbCwkKsVisrV67kyy+/JDIy\nktdee40jR45w5MgRJkyYQJ8+fYiNjcXb21vtg4Xj69ChAwaDgdjYWEpLS4HqEwWZmZl1rkDfqYiI\nCBITE3niiSdo2bIlV65cITs7mx07dqj9bFpaGvv371fvO6nh5uZGly5d1GI6OztbvZqYnZ3NrFmz\neOaZZ9R7FP4KfQKRUhAAAAJ3SURBVK2cmXYwgYGBzJw5k5iYGPUsSL9+/Vi7di1xcXGEhobi6upK\nnz59OH/+fK1tBw0aRGFhIaNHj8ZisdCvXz8iIyMbHMusWbNYtGgRBoMBJycnVq5cSfv27VmxYgVz\n5szBarXy4IMPsmrVqka1WTQf33//Pf7+/urv4eHhDBw4kJEjR2I2m+nXrx8TJkwAYPDgwURERODv\n709UVFStMy9PPvkkXl5ebN++vdb+XVxcWLNmDcuXL6eyshK9Xk9iYiIeHh4899xzDB8+HL1eT8+e\nPamoqKC8vJxWrVrdncaLey44OJiFCxcye/ZsdZm7uzsffvghq1atYtGiRTg7O+Pl5cWbb74JwOLF\ni0lMTGTYsGG0bNkSZ2dn5s6di7e3NwADBgxg+PDhdOjQgV69eqn7rRkn/fPPP+Pj46OOKR03bhxV\nVVVMmjQJjUaDoiiMGTOmzpM8XnjhBZYsWcInn3xC69at8ff3p6ioiOjoaObOnUtqaio6nY7XX3+d\nHj160LNnT0aMGEHLli3p3r07/fv3t/XhFHfRkiVL+PTTT5k4cSKKomAymejZsycfffQR69evr7P+\niBEjag0N+eGHH2q9HhISwuuvv87cuXOB6qF0AwYM4MEHH1TX6dSpE4MGDSI5ObnOsKFVq1axZMkS\nPv74Y5ydnXnrrbfQaDS89NJLPP/887i7u+Pl5UWHDh0oKiqq889ic6NR7mTwlhBCCCGEEKIOGeYh\nhBBCCCFEA0kxLYQQQgghRANJMS2EEEIIIUQDSTEthBBCCCFEA0kxLYQQQgghRANJMS2EEEIIIUQD\nSTEthBBCCCFEA0kxLYQQQgghRAP9f8s/UgQTXn5RAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26faf177550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.set()\n",
"cols = ['SalePrice', \"LotArea\",\"MSSubClass\", \"GrLivArea\"]\n",
"sns.pairplot(data[cols], size = 2.5, kind='scatter', diag_kind=\"kde\", dropna=True,diag_kws=dict(shade=True))\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some example data exploration from Angela\n",
"https://www.kaggle.com/xchmiao/detailed-data-exploration-in-python"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x26faf4db278>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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CZDIxY8YMIiMjr/hFUdBJZUrad5p/rE8nv6jUOdYo0Ifxd3ehfYv6bqxMpG6o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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26faf5f92b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.factorplot('KitchenQual', 'SalePrice', estimator = np.mean, \n",
" size = 4.5, aspect = 1.4, data = data, order = ['Ex', 'Gd', 'TA', 'Fa'])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.FacetGrid at 0x26fb0b8b780>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Sa/jNqL6uQWiVVTX8Zf1hamwyCE0IIdzJrYF98OBBJkyYAMDRo0d55plnGDduHNOnT8fh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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb0f980b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.factorplot('HeatingQC', 'SalePrice', hue = 'CentralAir', estimator = np.mean, data = data, \n",
" size = 4.5, aspect = 1.4)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x26fb1070828>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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dE0IMg4YWK46uDi5VFDI2NoHA4DC1I6ni6tu2BhITbsbPR09xeRMzE8Mx6Pue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\na36TL0JMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb0f98cf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.distplot(np.log1p(data.SalePrice),fit=stats.norm)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"More visualisations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"corr = data.corr()\n",
"sns.heatmap(corr)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Zl0+nc357fL00R1q42JG0onEjDs3fj/90/tZpQWVlJV988QWfffYZQ4cOxczM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\nOhNaqpcNAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb1148240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#saleprice correlation matrix\n",
"corrmat = data.corr()\n",
"k = 11 #number of variables for heatmap\n",
"cols = corrmat.nlargest(k, 'SalePrice')['SalePrice'].index\n",
"cm = np.corrcoef(data[cols].values.T)\n",
"sns.set(font_scale=1.25)\n",
"hm = sns.heatmap(cm, cbar=True, annot=True, square=True, fmt='.2f', annot_kws={'size': 10}, yticklabels=cols.values, xticklabels=cols.values)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A bit messy here, but helpful for a quick look at categorical variables"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\ProgramData\\Anaconda3\\envs\\Tensorflow\\lib\\site-packages\\matplotlib\\axes\\_axes.py:545: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n",
" warnings.warn(\"No labelled objects found. \"\n",
"C:\\ProgramData\\Anaconda3\\envs\\Tensorflow\\lib\\site-packages\\matplotlib\\pyplot.py:524: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`).\n",
" max_open_warning, RuntimeWarning)\n"
]
},
{
"data": {
"image/png": 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e5uEAAIDncbo8/OEPf9CcOXN08+ZNmUwm++2ITSaT2rVrR3lAlWLyMv1s4ZZlAKjknL7O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\nNJYKhPoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26faf6bd908>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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0NBISEvD39wegZs2aREREMHbsWHx9fVm/fj35+fnExMTg7u5Ot27dyMvLIzY2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\nD3AVUu0cHFwPAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26faf808860>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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RERGpJm4qfGRnZ7Np0ybee+89fvrpJ6xW63XrnJycaNGiBQMHDuSvf/0rbm5u5dqsiKOt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\nfsXig4iIiPyKxQcRERH51T9o5ZwsFpSgpgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb0c3d208>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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0aNAAs9mM1Wrl/PnzpKens2/fPr799luWLl3KihUrGDNmDMOGDSv2zEBMTAxr1qyhb9++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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb0cfc898>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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uFy9epHHjxsTFxZlDA1y/ENrcuXOJjIwkPz+fNm3aMG3aNPPVTQ0GA1FRUbz1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\nXwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb0aed588>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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PPMFf/vIX3NzcqrRZEZGbxZQtM2u6BZEqEdfvNYf/zkrDh9VqZe3atSxZsgRnZ2ciIiIY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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb0ada7f0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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r1qxBeno6LC0tMWHCBPj6+tb5WwsKHqp6eoiIXguxsTH49tsz8PAYhmnT6v7zkFTz8OED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\nhBBCCGFU/wcOOX9/j52JsgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26faf62a1d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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A3bp1CQ8PZ8qUKZjNZqpUqUJcXByBgYF06dIFuBwagoKCiIyMJCoqivz8fGbPnk1oaCjN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\nERGRtFL4EBERkbRS+BAREZG0+gN3snuNwz0o8wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26faf7cdd30>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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9xYG8REREZFINFjB/+9vfsG3bNmg0VZt/KRQKvPbaa4iIiIBcLjd6gkRERI2V\nlKTG8eNfIDBwDMLCHt2JC4+CeqdR7927F3FxcWjXrh3+9Kc/ISQkBN27d8eHH36ItWvXtlSO1MI4\n3ZiIzNGDsw212nsmzoiMqd4rMHv37sWzzz6L5ORkWFlZie2LFy/G/v37sXTpUq7M28ZwujERmSvO\nNny01HsF5urVqxg7dqykeAGAadOmQafT4ZdffjFqctTyavsAICIiam3qLWC0Wi1UKlWN9k6dOgEA\niouNv8cPERER0YPqvYWk1+trXdelevG6yspK42RF9BBOfz6xRpv2vnTP0tTjYVBaSd/bw8fuN2pe\nRETUfAzaC4mIiMyfILME8HsBLwi/HxOZlwbftf/5z3/wj3/8Q9JWfevo0qVLsLSs2YW3t3czpUdE\nRM1NkFvBqu8Q3L9wBlZ9hkCQWzX8IKJWpsECZuvWrdi6dWut59auXSu5xVR9y+mnn35qvgyJiKjZ\nqYZNgmrYJFOnQdRk9RYwMTExLZUHERERUaPVW8C8/PLLLZUHERERUaM1aeRWTk4OvvnmG1y/fh0T\nJkyAtbU1cnJy4OXl1dz5EREREdVgcAETHx+P7du3o6KiAoIgwM/PDxqNBvPnz8eoUaOwfv16rs5L\nRERERmXQNOpdu3ZBrVZj2rRp2Llzp7hi64ABAzB16lQcO3YMf/vb34ySKNHDkP3hnS4I0mMiIjI/\nBhcwQUFBWLJkCXr27Cm2d+jQAe+88w5eeuklHDp0qNmTJHpYcrmAvr2q3u59XC0gl9dcoJGIiMyH\nQbeQcnJyEBISUud5Ly8vfPnllw+dFJExDB0ow9CBMlOnQUQP6ccT2lrbS7X3JccXvr4PG6U01mOk\n0mh5UcsyqIBxcHDAtWvX6jz/73//G4899thDJ0UtQ7tndo22+zrp9hD3P42AXCG9UKd8rfZ1gYiI\n6L+SktQ4fvwLBAaOQVhYuKnTaXMMuoU0evRo7Nq1C//85z/FtuqF7A4ePIgDBw5g5MiRzZshERGR\nmdFq7+HEiaMAgBMnvoRWe8/EGbU9Bl2BWbBgAc6dO4fXX38dzs7OEAQBq1evxt27d3Hjxg08/fTT\nWLBggbFybbNYpRMRtS1lZWXiRBe9vhJlZWVQKq1NnFXbYtAVGGtra3z44Yd477330KtXL/To0QNl\nZWXo2bMnIiMjsXfvXqhUqkb3V1FRgeTkZIwePRr9+/fHmDFjJLOb9Ho9EhMT4e/vDw8PD4SGhuLK\nlSuSPnSpx5s8AAAgAElEQVQ6HdasWYPBgwfD09MTCxYswI0bNyQxRUVFWLZsGXx8fODt7Y3ly5dD\no9FIYvLy8jB37lx4eXnBz88PsbGx0Ol0kpjLly9j2rRp8PT0hL+/P9RqtZhrU7FKJyIiMpzB68DI\nZDJMnDgREydOfOgn37JlC9RqNebMmYP+/fvju+++w5o1a3Dv3j3MmjULmzdvhlqtRkREBDp16oTE\nxERMnz4dX3zxBezs7AAAK1aswKlTp7B06VLY2NggPj4e4eHh+OSTTyCTVQ3YnD9/PnJzcxEdHQ2t\nVovY2FjcvHkT27ZtA1BVBIWFhUGpVCI2NhZ5eXmIi4uDVqvFu+++CwC4desWQkND4erqioSEBGRm\nZiIhIQEymQwzZsxo8mvAKp2IiMhw9RYw586da1KnzzzzTIMx1VdfZsyYgTfeeAMA4Ovri9u3byMp\nKQlTpkzB9u3bMW/ePHHm04ABA/Dcc8/hwIEDCA0NRXZ2Ng4ePIgNGzZgzJgxAAB3d3cEBQUhJSUF\ngYGBSE9PR0ZGBvbt2wcPDw8AgLOzM6ZPn47MzEz06dMHhw8fRnZ2NlJSUuDs7AwAsLKyQnR0NObM\nmQNHR0fs2rUL5eXlSExMhLW1NYYPHw6dTge1Wo2QkBDI5fImvVZERERkuHoLmEmTJkl2m26IIbtR\nazQajB8/HoGBgZL27t274/bt20hPT0dpaSlGjBghnrO3t8fAgQNx5swZhIaGIj09HQDg7+8vxri4\nuMDV1RVnzpxBYGAg0tLS4ODgIBYvAODj4wOVSoUzZ86gT58+SE1NRe/evcXiBQACAgLwzjvvIC0t\nDePGjUNqaip8fX1hbW0tiUlMTMT58+fx7LPPNvp1IqKWwfFlRG2XyXajtre3F2/P/NFXX30FZ2dn\ncRxLly5dJOc7d+6MU6dOAQCuXr0KR0dH2NjY1IjJysoSY7p27So5b2FhgU6dOokxWVlZcHFxkcR0\n6NABKpVKEuPj4yOJqc4tKyvL5AWMXGYBAYAegPD7MdGj7MHxZcHBr/P2rBGwSCRTaVW7Ue/fvx+p\nqal45513oNFooFAoauyrZGtrKw7ALSkpga2tbY1+bG1tcf369QZjqvvRaDRNiqk+fnBA8IM6dLCB\npWXtC6gpFNJ1VxwcVLC3t6u3vxu1tCktLRHQsxtOXPkVAT27QWlZ81vr5CTtN6feZ6mbsfoxtdaW\nT1vUkq9xUVGlZHxZu3ZWDf5s0X815nt1795/i8STJ7/EggVzJFepa1f7InSG5dO0Pmr2YzxN+Wwn\nwxg8iFev1+M///kPSktLJTNwysvLUVJSgrNnz2Lx4sUGJ/LZZ59hxYoVGDVqFKZOnYpt27bVefuq\nur36llVDMRYWtV+N+GN7Xf3U9VhDYgoLS+s8V1wsLX5u3dJAp2va1ZNQzz4I9exT5/mCguIm9dva\n+2kujc2Hf3E2XUt+z5vzZ+tR1JjvVXHxXfH3QGVlJfLybsPOrp3J8mnJfhrC95/xi0WDCpgrV65g\n1qxZyMvLqzPGwsLC4AImOTkZ69atw/PPP4+4uDgIggA7OzvodDqUlZVJBsiWlJSIM5BUKhVKSkpq\n9PdgTEFBQa0x3bt3b7Cf6mnhtcVUHzd66viBWvaJuv/AXxKfHQWsalnqesJLjXsOMireliAiah0M\nKgfj4uJw8+ZNhIeHIzw8HHq9HlFRUfjzn/8MFxcXWFlZ4ciRIwYlEB8fj7Vr1+Kll17C+++/L94y\n6tatG/R6PXJzcyXxubm5YuHh4uKCmzdvQqvV1huTkyO9yVFZWYlr165JYh58nsLCQmg0mnpjqvvt\n0aOHQV8zma/apr0TEVHLM6iA+f777zF58mT8+c9/xuzZsyGTydC1a1eEh4dj//79cHJywvbt2xvd\n344dO7Bt2zaEhIRg7dq1sPzDuA1PT09YWVnh5MmTYltRURHOnj0LX19fAFXTrisqKsRBvUDVgNqf\nf/5ZElNQUCCZEp6RkQGNRiPGDBo0CBcuXBDHzQDAyZMnIZfL4e3tLcakpqaitLRUEtO+fXu4u7s3\n+msmIqK2RfthSY1/9/dKhw7c31taI4YejkG3kEpKSuDm5gagalXeTp06ITMzE0OGDIFKpcKrr76K\njz/+uFF95efnIy4uDr169cILL7yAH3/8UXK+b9++mDp1KjZu3AgLCwu4uLhg69atUKlU4iJ6Xbt2\nRVBQEKKioqDRaNCuXTvEx8fDzc0NAQEBAKoKDw8PD8ybNw9LlixBeXk51q1bB39/f/Tt2xcAMHbs\nWCQmJmLmzJlYuHAh8vPzsX79ekyaNAlOTk4AgODgYOzcuRPh4eGYMWMGLl68CLVajcWLF9cYaGzO\nLC0gmc1k+WjdsiUiM2Ypk6P6E0wQhN+Pqa0yqIBxcnLCrVu3xOPu3bvj0qVL4rGDg0Ot401q8+23\n30Kn0+Hy5cuYPHlyjfNpaWlYtGgRLCwskJSUhNLSUnh6emLt2rXi+Bagaqp3TEwM4uLiUFlZCT8/\nPyxfvlxchVcQBCQmJmLVqlWIioqCQqHAiBEjEBkZKfZhbW2N5ORkrFy5EhEREbCzs8OUKVOwaNEi\nMaZjx45ITk7G6tWrsWDBAjg6OuLNN998qFV4WyOlpQWe726DlKuleL67DZSsYIgIwOZvaw5+Lbsn\nHai6PV0DubV0QsTcIS0380YhV+LZp0fi+5+Ow9N9JBTyWsYTUpthUAEzdOhQfPTRRxg4cCA8PT3h\n4eGBHTt24Pr16+jYsSNOnjwJR0fHRvX1yiuv4JVXXmkwLiIiAhEREXWet7GxwapVq7Bq1ao6Yxwc\nHJCQkFDv83Tr1q3B21/9+vXDnj176k+4DXjdox1e9zDOTAIiImMa5ReGUX5hpk6DWoBBBcy8efOQ\nmpqK4OBgpKamYsqUKdixYwdGjhwJOzs7FBYWYuHChcbKtU2Sy2R/uGUjQC6rfb0YalmfHZ1Qa/t9\nrXTzzi9PhsJKKf2L88XRB4yWFxERVTGogOnYsSOOHDmClJQUdOjQAQDw0Ucf4W9/+xvu3LmDYcOG\nYcqUKUZJtK1SWsoxsqc7jl+5iJE93aC05D1bIiKihhi8kJ2VlZW4cSIA9OzZ06hbDjwKwjx9Eebp\na+o0iMxW6Dc1Jw/otfclx/PTPoegtJK0JQ971ah5EZHxNKqA0Wg0uHTpEry8vMQ2nU6HvXv34p//\n/Cesra3x3HPP1diYkYiI2i6LP8z6gSD8fkzUMhosYHbv3o24uDhotVpkZmYCqCpeQkJC8OOPP0Im\nk8HOzg4HDx7EqFGjGhwsS0REbYNMocQT/UYg7/xJPNF3BGQKzvqhllNvAZOamor33nsP/fr1w+TJ\nk8W9h5KSkvDDDz+gZ8+e+N///V84OTkhJSUFCxcuxN69e2udFk1ERG3PU8On4anh00ydBj2C6l3k\n48MPP0SvXr2wd+9eTJgwQdzwcP/+/RAEAX/+85/Fhd5GjBiBMWPG4MABzsAgIqJHm6WFHAKqfmcK\nEGBpwdtrza3eAubcuXMYO3asZLflK1eu4Nq1a1AqlRg2bJgk3svLC1euXDFOpkStgMUfZrkLgvSY\niKia0lKJ57tVrQj/fLcAKC15e6251XsLqbi4GI899pikLS0tDQAwYMCAGkvo6/V6caM7orZILhfg\n6ibg50t6PNVLgFwuNPwgInokvd5nOl7vM93UabRZ9RYwTk5O+O233yRtX3/9NQRBwPDhw2vEnz9/\nHo8//njzZkjUyngPksF7kKmzICJ6tNV7C2no0KH4+OOPxf2PMjMzkZqaCktLSwQFBUliL1++jM8/\n/xyDBw82XrZEREREaOAKzNy5c3Hy5EmMHj0arq6u+Pe//43KykrMmTNH3PPo4sWL+PLLL7F7924o\nFAqEh4e3SOJERET06Kr3CkzHjh3x8ccfY9SoUbh79y569eqF6OhozJs3T4w5fPgwtm7dio4dO2LH\njh28hURErYPsDx9vgiA9JiKz1+BCds7OzvXu9Pzaa6/hxRdfhJubW7MmRkT0MAS5HLK+bqi4cAmy\nPr0gyDmNlagtqbeAKSwsFDdtrEuXLl3qPX/79u0aM5mIiFqCYthAYNhAU6dBREZQ7zXVMWPG4IMP\nPsDdu3cN7vjWrVtYv369ZONHIiIiouZQbwGzZ88enD9/HsOHD8e8efPwySefID8/v8747OxsfPrp\npwgPD8fw4cNx4cIF7N69u9mTJiIiokdbvbeQunXrBrVajW+//RY7d+7EO++8A71eD3t7e3Tu3Bkq\nlQqVlZUoKirC9evXcffuXej1egwZMgRqtRp+fn4t9XVQG5aUpMbx418gMHAMwsI4y42IiBoxiBcA\nhgwZgiFDhuD69ev45ptv8P333yMnJwcFBQUQBAEODg54+umnMXDgQAwePJgzkajZaLX3cOLEUQDA\niRNfIjj4dSiV1ibOioiITK1RBUw1Z2dnTJo0CZMmTTJWPkQSZWVl4vYUen0lysrKWMAQEVH9Y2CI\niIiIWiODrsAAwN69e3H06FHcunULFRUVNc4LgoAjR440S3JEREREtTGogNm0aRM2bdoEe3t7dO/e\nHXIuDEVEREQmYFABc+DAAQwaNAhqtRoKhcJYORERERHVy6AxMIWFhXjhhRdYvBAREZFJGXQF5umn\nn8bly5eNkkhKSgoiIiLwr3/9S2y7cOECXn311RqxYWFhWLp0KQBAp9MhLi4OR44cQWlpKYYOHYrl\ny5dLpnIXFRUhJiYGX331FSorKxEYGIi3334bKpVKjMnLy8Nf/vIXpKenw8rKCuPHj8ebb74pKdYu\nX76M1atX49y5c7C3t0dwcDBmzZoFQRCM8ZI8cn48NLlGW+l9veT4wtGZsLGSvt4eL+01al5ERNT6\nGFTAvPXWW3jjjTfQu3dvjBw5UlIAPIzvv/8eb731Vo32ixcvwsbGBsnJyZL2jh07iv9fsWIFTp06\nhaVLl8LGxgbx8fEIDw/HJ598AplMBgCYP38+cnNzER0dDa1Wi9jYWNy8eRPbtm0DUFUEhYWFQalU\nIjY2Fnl5eYiLi4NWq8W7774LoGprhNDQULi6uiIhIQGZmZlISEiATCbDjBkzmuV1ICIiMpa2tiio\nQQXMqlWrIJPJEBkZicjISFhaWsLCQnoXShAE/PDDD43qT6fTYceOHdi4cSNsbGxQVlYmOX/p0iW4\nurqif//+tT4+OzsbBw8exIYNG8Q9l9zd3REUFISUlBQEBgYiPT0dGRkZ2LdvHzw8PABUrWczffp0\nZGZmok+fPjh8+DCys7ORkpICZ2dnAICVlRWio6MxZ84cODo6YteuXSgvL0diYiKsra0xfPhw6HQ6\nqNVqhISEcEAzERG1Wm1xUVCDbyE9/fTTzfbk33zzDdRqNZYsWYI7d+7UuNJy6dIluLm51fn49PR0\nAIC/v7/Y5uLiAldXV5w5cwaBgYFIS0uDg4ODWLwAgI+PD1QqFc6cOYM+ffogNTUVvXv3FosXAAgI\nCMA777yDtLQ0jBs3DqmpqfD19YW1tbUkJjExEefPn8ezzz77sC8HERGRUTTnoqCt5UqOQQVMTExM\nsz55v379kJKSgnbt2uGDDz6ocf7y5ctQKBR46aWXcOXKFTzxxBOYM2cOXn75ZQDA1atX4ejoCBsb\nG8njOnfujKysLDGma9eukvMWFhbo1KmTGJOVlQUXFxdJTIcOHaBSqSQxPj4+kpguXbqI51jAEDWf\n1vIBSURSrelKjsEL2dVHp9MhIyMDQ4cObVR8fXsm3bhxA4WFhfj111+xaNEi2Nvb4/PPP8eyZcsg\nCALGjx+PkpIS2Nra1nisra0trl+/DgD1xmg0GgCARqNpUkz1cXVMXTp0sIGlpQwF9UbVz8nJTvz/\njWboAwByWlk/TdVW+2mLGvPa3Lv33w/Ikye/xIIFcyRXPls6n0dVzdemuJn60TZDP03ro/Z8Hl4O\nSpr0uJZ8/ykUlZJjBwcV7O0Nf/6iokrJlZx27aya1E9zMKiA0Wg0WLlyJf7+97+jtLQUlZX/fUEq\nKirElXl/+umnh07M3t4e27dvR69evcRBu35+fsjPz8emTZswfvx46PX6OmcAVbfr9foa43Sq/bG9\nrn7qeqwhMYWFpQ320ZCCgqZ9eDR3H+yn5fppixrz2hQX3xU/ICsrK5GXdxt2du1Mls+jqrX9PLRk\nPy11BbAl33/FxdI/tG/d0kCnM3w3IUP6MXaBZlD2sbGx+Oyzz9ClSxc8++yzuH//PkaNGgVvb2/I\nZDJYWVnh/fffb5bElEolhgwZIplxBABDhw5FTk4OSkpKoFKpUFJSs/ItKSmBnV3VC1dfTPUsqqbG\nVB8312wsIiIyrQdvkWi190ycEdXFoCswX3/9NQIDA/H+++/j9u3b8PPzw9SpU/HMM8/g0qVL+NOf\n/oQrV65g5MiRD53Y1atXkZaWhgkTJkjWYrl//z6USiVsbGzg4uKCmzdvQqvVQqlUijG5ubnw8vIC\nUDWo9/vvv5f0XVlZiWvXrmHcuHFiTG5uriSmsLAQGo0G3bt3rzMmJ6fq5kmPHj0e+uul2ln+ocQW\nBOkxmb/pZ3bUaNNr70uO56XvgaC0krT979BpRs2LHl3NOdiVjMugXwe3b9/G4MGDAQCPPfYYnJyc\nxCnTbm5umDhxYrNt5Hjjxg289957OH36tNim1+tx/PhxDBgwAIIgwNfXFxUVFTh16pQYk5WVhZ9/\n/hm+vr4AAF9fXxQUFODcuXNiTEZGBjQajRgzaNAgXLhwQRw3AwAnT56EXC6Ht7e3GJOamorS0lJJ\nTPv27eHu7t4sXzPVpJALeNa16m3q+ZQFFHIuGkhERAZegVGpVJK1Wrp37y5Zmbdnz57Yu7d5VkX1\n9vaGl5cXVqxYgaKiIjg5OWHfvn24dOkSdu/eDQDo2rUrgoKCEBUVBY1Gg3bt2iE+Ph5ubm4ICAgA\nUFV4eHh4YN68eViyZAnKy8uxbt06+Pv7o2/fvgCAsWPHIjExETNnzsTChQuRn5+P9evXY9KkSXBy\ncgIABAcHY+fOnQgPD8eMGTNw8eJFqNVqLF68mFsrGNmoAXKMGmDqLNo2zvohInNjUAHj6emJQ4cO\n4dVXX4W1tTXc3Nxw+vRplJWVQS6XiyvnNgeZTIYtW7YgPj4e77//Pu7cuYPevXsjOTlZLDyAqqnd\nMTExiIuLQ2VlJfz8/LB8+XJxFV5BEJCYmIhVq1YhKioKCoUCI0aMQGRkpNiHtbU1kpOTsXLlSkRE\nRMDOzg5TpkzBokWLxJiOHTsiOTkZq1evxoIFC+Do6Ig333yTq/CS2WtN0yKJWlLuoZrjW0ruS2c4\n/XZUC1urmguVdn6p9f6MVH50rmabTjqZpPLjf6NSIf19bRH8jFHzam4GFTBvvPEGpk6dCn9/fxw7\ndgyTJ0/Grl27MHHiRHTu3BmnTp3CSy+91KRE5s+fj/nz50va2rdvj5UrV9b7OBsbG6xatQqrVq2q\nM8bBwQEJCQn19tOtWzds37693ph+/fphz5499cYQmZtWd8/fQvbf/wsPHBMR/c6gMTDPPPMM9u3b\nh9GjR6N9+/Z46qmnsG7dOhQXFyMtLQ2jRo3C22+/baxcidqMpCQ1XnttPJKS1KZOpdURFJaQ9asa\nGC/r2wOColmXqyKiNsLgTwZ3d3dER0eLx+PGjRNn8xBRw3jLpmHyYR6QD/NoOPARxPFKRFWa9KfN\n2bNn8fXXX+P69euYPXs2rK2t8a9//QujR4/mpoZEDTDlLZuQ1DdrtOnvVUiO55xdDsFaetvmQ7/6\nb8FSy2Dxa3yWFnIIEKBH1UKplhaP7u80/d4zNdvuS8cN6T9Nh95K+h4UJjduNf6HZdAtpIqKCixe\nvBjTpk1DcnIyjh49ilu3buH8+fNYsmQJpk2bhuJirmxJ1FJ4K+rRUlvxS83LSq6Er2vVWma+T42E\nlVzZwCPIVAwqYLZu3YovvvgCUVFROHHihPiDFBAQgGXLluHcuXPYvHmzURIlIimuGEpkHK8MCEXc\nlN14ZUCoqVOhehhUwHz66aeYMGECgoODJRsbKhQKTJ8+HZMnT8aJEyeaPUkiqol/jRPRo8ygAubG\njRuSNVge1KtXLxQUPMyey0TU4mR/WN1YeOCYiKiVMqiAeeKJJyQr7z7oH//4B5ydnR86KSJqOYLC\nAhbPVG1+atHPDoKCG04RtTVyCxkEVP1xIkCAvA2sr2TQJ9XLL7+MvXv34vDhw6ioqJq5IAgC7t+/\nj82bN+PIkSOcUk1khiz9HaBY4AJLfwdTp0JERqC0tEKAS9XefgEu3lBaWjXwiNbPoGnU4eHh+OWX\nX/DWW2/B0rLqoYsWLcLdu3dRXl6OYcOGYfbs2UZJlMgc7Tg5oUabTquXHO85HQqFsuZtm2kBB4yW\nF7V+4d/8WKOtUitdDv7PaZmwUEqXg1dz/RyqQ+gzYxH6zFhTp9FsDCpgZDIZNmzYgAkTJiAlJQXZ\n2dmoqKjAk08+CX9/f4wYMcJYeRIRERGJDF7ILjs7G7m5uXjsscfQvn17sf2nn37CTz/9BEEQMHfu\n3GZNkuhRt/qbiTXayh+4khOfFgbLB67kLB+236h5ERGZikEFzOeff45ly5ahvLy8zhgWMERERG2T\nXCaDAECP3wcDy0w3GNigAuaDDz6Ai4sL3nvvPXTu3BkyEyZORERELUtpqcDIHv1x/D8/YGQPDygt\nFSbLxaACJj8/H8uWLYOXl5ex8iEiIqJWLNRjBEI9TD/m1aBp1B4eHvWuA0NEDZMsvyA8cExUD0Em\nA35fywOC8Psx0aPJoCswUVFRCAsLQ7t27fDcc8/BwcEBglBz+ueTTz7ZbAkStTWWcgFdewvI/rce\nXZ8WYCnnyrfUOILcCvK+3ii7cBbyPt4Q5Oa/lgdRUxlUwFhaWsLe3h5bt27F1q1b64z76aefHjox\norasj58MffxMnQWZI+thL8B62AumToPI5AwqYN555x1cvXoVL774IlxcXDiIl4iIiEzCoALm/Pnz\n+H//7/9h3rx5xsqHiBpJeGAsjcC/J4joEWLQIF5HR0fY2dkZKxciMoBMLuCxvlU/wo/1sYCMY2mI\n2qSkJDVee208kpLUpk6lVTGogAkNDcWOHTuQk5NjrHyIyACdhsnQb44cnYbx8osxNccvEP4SoqbQ\nau/hxImjAIATJ76EVnvPxBm1HgbdQsrNzUVFRQVGjx6Nnj17wsHBocY4GEEQoFbzB5SI2oYHf4EE\nB78OpdK6xfugR1NZWRn0+qptQ/T6SpSVlfG98zuDCphjx45BJpOhY8eOKC4uRnFxcY2Y2qZVExGZ\nq+b4BcJfQkTNz6AC5tSpU8bKg4iIiKjRDBoDY0wpKSnw9PSUtOn1eiQmJsLf3x8eHh4IDQ3FlStX\nJDE6nQ5r1qzB4MGD4enpiQULFuDGjRuSmKKiIixbtgw+Pj7w9vbG8uXLodFoJDF5eXmYO3cuvLy8\n4Ofnh9jYWOh0OknM5cuXMW3aNHh6esLf3x9qtVr8q4qIiIhajkFXYIzl+++/x1tvvVWjffPmzVCr\n1YiIiECnTp2QmJiI6dOn44svvhBnQ61YsQKnTp3C0qVLYWNjg/j4eISHh+OTTz4Rx+fMnz8fubm5\niI6OhlarRWxsLG7evIlt27YBqCqCwsLCoFQqERsbi7y8PMTFxUGr1eLdd98FANy6dQuhoaFwdXVF\nQkICMjMzkZCQAJlMhhkzZrTQK0VERESAiQsYnU6HHTt2YOPGjbCxsUFZWZl4TqPRYPv27Zg3bx5C\nQkIAAAMGDMBzzz2HAwcOIDQ0FNnZ2Th48CA2bNiAMWPGAADc3d0RFBSElJQUBAYGIj09HRkZGdi3\nbx88PDwAAM7Ozpg+fToyMzPRp08fHD58GNnZ2UhJSYGzszMAwMrKCtHR0ZgzZw4cHR2xa9culJeX\nIzExEdbW1hg+fDh0Oh3UajVCQkIgl8tb+NUjIqK2pOL/as7wrdCVSI/3/YYKRZGkTfZ6F6Pm1VqZ\n9BbSN998A7VajSVLlmDq1KmScz/++CNKS0sxYsR/d7y0t7fHwIEDcebMGQBAeno6AMDf31+McXFx\ngaurqxiTlpYGBwcHsXgBAB8fH6hUKjEmNTUVvXv3FosXAAgICEB5eTnS0tLEGF9fX1hbW0ti7ty5\ng/PnzzfHy0FERESNZNICpl+/fkhJSUFISEiN2UtZWVkAgC5dpJVl586dxXNXr16Fo6MjbGxs6o3p\n2rWr5LyFhQU6deokxmRlZdWI6dChA1QqlSSmW7dukpjq3KpjiIiIqGWY9BbS448/Xuc5jUYDhUIB\nhUIhabe1tRUH4JaUlMDW1rbGY21tbXH9+vUGY6r70Wg0TYqpPn5wQPCDOnSwgaWlDAX1RtXPyem/\nKyDfqCeusX0AQFOXIzRWP03Ffozbx6PSz9gD+2qN0Wu1kuP5qSkQlEpJ2+cTJtX7PApFpeTYwUEF\ne3vjrGpuvNe45rIZTetHW2ucYf00rY8H+8lF0xeF+2M/OSipJ7JxfQDA9WbIBWi+3xH5zdSPsbSK\nQby10ev1da4pU93e2BgLi9ovNP2xva5+6nqsITGFhaUN9tGQgoKmfXg0dx/sx7z6aU25PCr9zDx9\npsZ5/QOrp75++CSEWtaB+dvwoc2aC/tp3f20plyM0Y+xC5lWM436QXZ2dtDpdJKBvUDVFZXqGUgq\nlQolJTUr38bGqFSqh4qpPq6OISIiak5yC0sIqPoDW4AAuUWrve7Q4lptAdOtWzfo9Xrk5uZK2nNz\nc9G9e3cAVQN2b968Ce0Dl3gfjHlw76bKykpcu3ZNEvPg8xQWFkKj0dQbU91vjx49HuZLJSIiqpXS\n0goB3YYAAAK6DYHS0srEGbUerbaA8fT0hJWVFU6ePCm2FRUV4ezZs/D19QUA+Pr6oqKiQrJCcFZW\nFn7++WdJTEFBAc6dOyfGZGRkQKPRiDGDBg3ChQsXxHEzAHDy5EnI5XJ4e3uLMampqSgtLZXEtG/f\nHi8x/wAAACAASURBVO7u7kZ4BYiIiIDpfSdh1wsfYHrf+sdaPWpa7bUoW1tbTJ06FRs3boSFhQVc\nXFywdetWqFQqTJw4EQDQtWtXBAUFISoqChqNBu3atUN8fDzc3NwQEBAAoKrw8PDwwLx587BkyRKU\nl5dj3bp18Pf3R9++fQEAY8eORWJiImbOnImFCxciPz8f69evx6RJk+Dk5AQACA4Oxs6dOxEeHo4Z\nM2bg4sWLUKvVWLx4cY2BxkRERGRcrbaAAYBFixbBwsICSUlJKC0thaenJ9auXSuObwGAmJgYxMTE\nIC4uDpWVlfDz88Py5cvFVXgFQUBiYiJWrVqFqKgoKBQKjBgxApGRkWIf1tbWSE5OxsqVKxEREQE7\nOztMmTIFixYtEmM6duyI5ORkrF69GgsWLICjoyPefPNNrsJLRERkAq2mgJk/fz7mz58vabO0tERE\nRAQiIiLqfJyNjQ1WrVqFVatW1Rnj4OCAhISEep+/W7du2L59e70x/fr1w549e+qNISIiIuNrtWNg\niIhahd+v5gIABEF6TEQmwwKGiKgeglwOWd8+AABZn94QmrLvGYsgombXam4hERG1VoqhQ4ChQ5r8\neEGugLxvf5Rd+AHyPh4Q5Bz4T/SwWMAQEbUAq6EjYDV0RMOBRNQovIVEREREZocFDBEREZkdFjBE\nRERkdljAEBERkdlhAUNERERmhwUMERERmR0WMERERGR2WMAQERGR2WEBQ0RERGaHBQwRERGZHRYw\nREREZHZYwBAREZHZYQFDREREZocFDBEREZkdFjBERERkdljAEBERkdlhAUNERERmhwUMERERmR0W\nMERERGR2WMAQERGR2WEBQ0RERP+fvTMPq6paH//nHDiHGZlkEEdQDjLjDDiboaaWpmk3zdQ0U685\npZmoqbdMM1PTzHIeyim1NIdynrEcIHFWUEEQFGSGA5z9+4PfXpcjWnZvt/Tb+jyPz4Nrr73Ou9de\ne613ve+71nrqeOIVmKysLAwGQ6V/I0aMAEBRFBYtWkTr1q0JDQ2lf//+XLt2zawMo9HIBx98QFRU\nFOHh4YwYMYI7d+6Y5cnOzuadd96hadOmNG7cmIkTJ5KXl2eWJzU1lWHDhtGwYUMiIyOZNWsWRqPx\nf1sBEolEIpFIKmH5VwvwW1y8eBGAZcuWYWdnJ9KdnJwAWLhwIV988QVjx47F29ubRYsW8dprr7Fj\nxw4cHBwAmDJlCvv27WP8+PHY2toyZ84cBg8ezObNm7GwsADgn//8J8nJybz33nsUFRUxa9Ys7t69\ny+LFi4FyJWjAgAFYW1sza9YsUlNTmT17NkVFRUyePPnPrBKJRCKRSP72PPEKzKVLl3BzcyMqKqrS\ntby8PJYuXcrw4cN59dVXAWjUqBFt2rRh06ZN9O/fn5s3b7J161Y+/vhjOnXqBIC/vz8dOnRg7969\nPPvss5w4cYLY2Fg2bNhAaGgoAJ6enrz22mskJCQQGBjItm3buHnzJnv37sXT0xMAKysr3nvvPYYO\nHYqbm9ufVCMSiUQikUieeBfSpUuXMBgMD70WFxdHQUEB7dq1E2lVqlShSZMmHD58GIATJ04A0Lp1\na5Gndu3a1KtXT+Q5fvw4rq6uQnkBaNq0Kfb29iLPsWPHCAgIEMoLwDPPPENpaSnHjx//Yx5WIpFI\nJBLJY/FUKDCFhYX07t2b4OBgWrZsyZIlS1AUhaSkJABq1Khhdk/16tXFtcTERNzc3LC1tf3VPDVr\n1jS7rtVq8fb2FnmSkpIq5XF2dsbe3l7kkUgkEolE8ufwRLuQysrKuHbtGjY2NowfP55q1apx4MAB\nPv74Y4qKitDpdOj1evR6vdl9dnZ2IgA3Pz/fLHamYp60tLTfzKOWk5eX95t5JBKJRCKR/Dk80QoM\nwOeff061atWoVasWUO7aKSgoYMmSJQwZMgSNRvPQ+9R0RVEeK49W+3BjVMX0R5XzqHtVnJ1tsbS0\nIONXc/06Vas6iL/v/Eq+xy0D4NYTVs5/iiznf1uGLOfpKud/J0vuH1RO0R9Qzn9WxoPlJFP4h5Rz\ni/z/ugyAtD9AFvjjxoj0P6ic/xVPtAJjYWFBREREpfQWLVqwbt06bGxsMBqNlJSUoNPpxPX8/Hyx\nAsne3p78/MqN68E8GRmV1Yv8/Hzq1Knzm+XY29v/6nNkZRX86vXHISPjP+s8/ugyZDlPVzlPkiyy\nnD+nnCdJFlnO/76MJ7mc/7Ui80THwNy5c4f169eTmZlpll5cXAyUB+wqikJycrLZ9eTkZKF41K5d\nm7t371JUVPSreW7dMrcjmEwmUlJSzPI8+DtZWVnk5eWJPBKJRCKRSP4cnmgFxmg0MnnyZL777juz\n9N27d1O7dm3at2+PlZUVe/bsEdeys7M5efKksNxERERQVlbGvn37RJ6kpCSuXLlilicjI4P4+HiR\nJzY2lry8PJGnWbNmnDt3TsTNAOzZswedTkfjxo3/+IeXSCQSiUTySJ5oF1KNGjXo3Lkz8+bNQ6PR\n4Ovry65du/jhhx9YuHAhdnZ29OnTh3nz5qHVaqlduzaff/459vb29OzZE4CaNWvSoUMHJk2aRF5e\nHo6OjsyZMweDwcAzzzwDlCsnoaGhDB8+nHHjxlFaWsrMmTNp3bo1QUFBAHTu3JlFixbx+uuv89Zb\nb5Gens5HH33ESy+9RNWqVf+yOpJIJBKJ5O/IE63AALz//vt89tlnrFy5koyMDHx9ffn000/F3i+j\nR49Gq9WybNkyCgoKCA8P58MPPxTxLQAzZsxgxowZzJ49G5PJRGRkJBMnThS78Go0GhYtWsT06dOZ\nNGkSer2edu3a8e6774oybGxsWL58OdOmTWPs2LE4ODjw8ssvM3r06D+3QiQSiUQikTz5Coy1tTWj\nR49+pKJgaWnJ2LFjGTt27CPLsLW1Zfr06UyfPv2ReVxdXZk7d+6vylKrVi2WLl36eIJLJBKJRCL5\nn/FEx8BIJBKJRCKRPAypwEgkEolEInnqkAqMRCKRSCSSpw6pwEgkEolEInnqkAqMRCKRSCSSpw6p\nwEgkEolEInnqkAqMRCKRSCSSpw6pwEgkEolEInnqkAqMRCKRSCSSpw6pwEgkEolEInnqkAqMRCKR\nSCSSpw6pwEgkEolEInnqkAqMRCKRSCSSpw6pwEgkEolEInnqkAqMRCKRSCSSpw6pwEgkEolEInnq\nkAqMRCKRSCSSpw6pwEgkEolEInnqkAqMRCKRSCSSpw6pwEgkEolEInnqkAqMRCKRSCSSpw6pwEgk\nEolEInnqkAqMRCKRSCSSpw6pwEgkEolEInnqkAqMRCKRSCSSpw6pwPxONmzYwLPPPktISAi9evXi\nzJkzf7VIEolEIpH87ZAKzO9gy5YtTJkyha5du/Lpp5/i4ODAwIEDuXXr1l8tmkQikUgkfyukAvOY\nKIrCp59+yksvvcTw4cNp1aoVixYtwtnZmZUrV/7V4kkkEolE8rdCKjCPyY0bN0hJSaFt27YiTafT\n0bp1aw4fPvwXSiaRSCQSyd8PqcA8JklJSQDUqlXLLL1GjRrcvHmTsrKyv0AqiUQikUj+nkgF5jHJ\ny8sDwM7Ozizdzs4Ok8lEYWHhXyGWRCKRSCR/SzSKoih/tRBPA9u2bWPs2LEcPXoUNzc3kb5x40Zi\nYmI4ffp0JeVGIpFIJBLJ/wZpgXlMHBwcAMjPzzdLz8/Px8LCQiovEolEIpH8iUgF5jFRY18eXDJ9\n69Ytateu/RdIJJFIJBLJ3xepwDwmtWvXxsvLiz179oi0kpISDhw4QERExF8omUQikUgkfz8s/2oB\nnhY0Gg2DBg1i+vTpVKlShQYNGrBmzRqysrJ47bXX/mrxJBKJRCL5WyGDeH8ny5YtY9WqVWRlZVG/\nfn3Gjx9PeHj4Xy2WRCKRSCR/K6QCI3liUBQFjUbzV4vxh/F/7XmeFGS9Prn8ke9Gvmdz/q/Uxx/5\nHDIG5newZ88eBg4cSEREBOHh4bzwwgusWbOGkpKSh+bv168frVu3pqKO+OmnnwqLzaVLlzAYDPTv\n3/93y7J79246duxIQEAABoOBgIAAnn32Wfbu3fvQ/H379iUkJISePXvyxhtvmF27cOECBoOB2NjY\nx/rt2NhYDAbDQ/+Fh4ezZMkSs/wGg4E5c+aIPJmZmfTt21fIsWzZMgwGAyEhIQQHB9OhQwc++eQT\nsffOw57F39+fvn37VrqmPsuePXsICAjgs88+q5SnU6dOGAwGjh8/jsFgYOnSpQB8//33GAwGwsLC\nCA0N5bnnnmPBggXcuHGDoKAgmjZtyty5c3/T4vbOO+8QEBCAv7//I+up4r9PP/20Un2pMlXk+PHj\nDBw4kMaNGxMYGEhYWBjBwcEEBQU9tM42b94s6lutt5CQELEpoypr586dH6sNVJTrYWWp7eK7774z\nK0uVu0GDBhgMBoKCgoSsD8r4IG3btmXatGni/xs2bOCVV14R70C9X/3n7+9PWFgYXbt25YsvvhDf\nZtu2bTEYDHz44YcAHDp0iIEDB9K0aVNCQ0N59tlnzdonQHJy8mO9v1/7p36fn3/+eaX28WDeoKAg\nmjdvztixY7lz547I+1u/oebZtWsXW7duFW37UXTv3p0ePXowbtw42rZtS2BgoChr//79Il/Fvkr9\nVtRvtHnz5hgMBrGowWg08q9//euR/c+D/FZfOmzYMPz9/R/ZLuDfbfDEiROV6kR9pkmTJnHr1q1f\nrb/69evTokULxo0bR8eOHQkKChL3Dxs2jCtXrgA8Vt0GBQVVao8tWrSge/fuhIWFiXwPtmv1eR6U\nzd/fH39/f4KDg5kxYwZ5eXnk5ub+Zt/2YBuMiooy+347dOhQ6btLSEhg+PDhNG3alKCgINq2bcv0\n6dO5e/eu2W88qn8CWLFiBQaD4ZH1s2fPHqZMmfLI678XGQPzmEydOpV169bxwgsv8PLLL2Nra8vJ\nkyeZNWsWsbGxzJ07FwsLC7N7unXrxvjx4zlz5gwNGjSoVOa2bdvQaDTUqFHjd8kSExPDxo0bsbS0\npH379gQEBHDx4kV27drF0KFDGT9+PAMGDKh0X3FxMYmJibi4uPy+h38EM2bMwNPTk/79+2NlZUVx\ncTEmk4mPPvoIGxsbXnnlFQDWr1/PoUOHzO6dMmUKWq2WgwcPMmvWLACioqLo168fFy5cYPHixcTG\nxrJ27dpK9QrlWvzly5cfKZuDgwP169cnLi7OLP3OnTtcu3YNJycnjh07JtI//vhjvvjiCwDGjBlD\n3bp1+eWXX1i5ciVr1qzBzc2NzMxMrl69+lh1YzKZqFq1KjExMeTk5FBaWkpqaipLly7F0dHRbEDz\n9PT8zfIOHjzIkCFDREe4cOFCAgICuHbtGl5eXnTr1o0vv/zSrM5at27N+vXrcXR0FOUUFxczadIk\nVq9e/VjPUZH169dTrVq131VWRbkjIiK4cOECKSkprFmzhtjYWHr06PG7ZPj8888f2n6XLFmCg4MD\niqKQm5vLiRMnmD9/PqdOnRIdvUaj4ccff0Sn0/HFF1/QoUMH/vWvf2Fvb8/y5cu5ceMGACkpKbi4\nuODu7s769evFbxw9epT58+eLPgDK+4WCggJu376N0WikV69eBAUFiXu2b9/O6dOn+eSTT/D396d1\n69Zmco8aNYpmzZoBUFhYSFxcHJ999hlJSUls2rSJoUOH0rt3b5F//Pjx1KpVi6FDh4q0qlWr0rt3\nb2rXro1er2fq1Kns2LHjoYsLrl27RkJCAlqtFhsbG0aMGMG1a9dE2x82bBiffPIJ0dHR9OzZk1at\nWol3CPDcc8/RtWtXNmzYwI4dOxg5ciQbNmwgPT2d1atX06hRo998h4/Tl1ZcLPFrFBcXM2fOHABG\njx5N06ZNAbh48SJTpkxh06ZNov2r14cPH46Pjw8RERGsW7eO7OxsOnXqxKpVq9BoNLi4uNC1a1eW\nLl1KamoqL730EkuWLOHZZ5/9zbotKSkhODiYmJgYLl++TJUqVcjJyeGDDz6guLj4N5+nQYMGPPvs\ns8ycOZNWrVpRt25dvv/+e1JTU9m4cSPx8fGsXbv2V/s2jUZD7dq16dChA4sWLWL+/PkcOXKEr7/+\nmr179zJw4MBKv3v+/Hlefvllmjdvzvvvv4+DgwPXr1/nyy+/5PDhw2zevBl7e/vHeie/xsqVK7G1\ntf2vy1GRCsxjsHXrVr766iumTZtGr169RHpkZCR+fn6MGjWKbdu28cILL5jdV7HBP6jAKIrC999/\nj42NDZaWj/8atm7dysaNG9HpdGzcuJH69euLa+3bt2fUqFHMmjWL9u3bV1KMHBwcyM3N5fbt27/n\n8R9JvXr1xGBia2tLYGAgp0+fpmrVqmzZskUoMGFhYXzwwQcYDAYuXboEQN26dYFyRSY4OJj4+Hiq\nV69OREQEERER+Pj48MYbb3DkyBFatWpV6bctLCy4f/8+GzdupGfPng+Vr2nTpnzzzTdmaceOHcPJ\nyYkuXbpw9OhRoLyz++6772jSpAk3btwQlp2IiAg6d+5M+/btsbCwIDIykvPnzz92/eh0Ojp06GCW\ntm3bNlJTU6latSre3t6PXdaSJUuIiori/fffp2/fvjRv3pwlS5Zw4MAB3njjDerVq8fMmTPN6szF\nxaXSYO/g4MDJkyd/td4eRcUZ5OOWpco9bdo0WrVqxaBBg/jmm29wcXHh+PHjhISE/C4ZHkVgYKDZ\ns7Zs2RIfHx8mTpzIli1bAAgPD+f06dN88cUXTJgwwSz4/pNPPsHHx4fr168zefJkNm3ahF6vN3tm\ndSZ67949kW5vb09mZib16tUjISEBCwsLXnrpJXHPunXreOaZZ9i7dy9btmyppMDUrl3b7DciIiIo\nLCzk888/5+rVq9StW5eaNWuK69bW1ri4uFR6FxXbUocOHfjhhx+YMmVKpb5l+fLlQPlMffbs2Wg0\nGjZv3iyut2rViqlTp9KmTRs8PT3x9PSkb9++REVFcfjwYerWrUtERASpqans2LGDc+fOceTIEXx9\nfX/l7fybx+1LHxcHBwcxkNeqVUvUi5WVFVA+KVLLU6/r9Xrq1q3Lm2++SZMmTfjHP/7Bd999h5ub\nG+np6djZ2Yn+6bPPPmPIkCG8++677Ny581frVp2QBgQEEBYWZvaO9u/fz969e0lJSfnV797R0ZF9\n+/bRvHlzFi9eDECdOnWYOHEiJpOJM2fOcOTIkV/t20pKSsjOzhbtpkGDBvz88884Ojpy6tQpUlJS\nKv3u6tWrqVGjBgsXLhTunaZNm9KoUSM6d+7Mt99+K/rzJwmpwDwGS5cuxWAwmH1wKp06deKXX37B\n2dkZKDc7f/TRR5w8eZKioiIcHR35/vvveffdd9Fq/+2x+/nnn7l9+7bY1ffevXvMnDmTffv2UVBQ\nAECVKlV4/fXXOXz4MJ6enrz55ptMnTpVlLFs2TImTJggOu5Dhw5RvXp1bGxs6NatG7m5udja2mI0\nGikrK0Oj0WBpacmVK1do2bIlmZmZ6HQ68XsAzz//PHZ2dly9epXs7Gw0Gg2KotC2bVsWLVoEwFtv\nvQXAm2++SUZGBgBZWVkYjUZq1KhBTk4OGRkZREdHi5mpet+lS5fYvn0777//vvhQVBfb6tWr2bdv\nH/v27SMvLw8HBwcGDx6MRqOhSpUq3L9/HwcHB/Lz89Fqtdjb2zNp0iRiYmKAcoXhH//4BwADBw7E\n19eX+/fvExERQWZmJhqNBkdHRxo1akRERARr164F4Mcff8TCwoKffvoJFxcXzp8/T0BAAADfffcd\npaWl3L17l2PHjlFcXIy1tTVxcXHMmjWLhIQEMbOysLAwq8/bt29jMBhwcnICoEuXLqINKIrCqlWr\n+Oijj9BqtRQVFaHX6+nUqRNQbhHatWsXXl5eHDx4kKKiIqDcpZCZmYmnpye7du3irbfeIjo6Gg8P\nD3x9fYmMjOSNN97Azs5OuJOaNWvGlStXyMzMRFEULCwsiImJIT4+nsuXL3PlyhWz2dwLL7zAhQsX\nxLt3dHTk4MGDhIeHM27cOJKSkjh37hy+vr4kJiYSExPD9OnTKS0tBeDIkSOirJs3b5KWlkZQUJCw\nzpWUlKDX6xk2bJiwriUkJDBmzBgKCgrEuWKWlpbodDoyMjLMzNJqB2wwGMRscty4cZw4cYLS0lIC\nAwO5cOECBw8exNvbm/Xr15OVlUVaWpp4T9WqVWP79u0sXryY69evU1paSqtWrbh+/Trnz5/n6NGj\nDBo0CE9PT+7cuYOiKGJASkhIAMq3UUhOTiYtLY309HQAvv32WwYPHoyXlxf5+flcuHABZ2dnjEYj\nu3btIiAgAFtbWzO3svoevb29ycjIEBaD5557jh9++IGXXnqJPn36cP/+fZKSkvDy8sJgMBAcHMy9\ne/dIT08Xdb9u3TrS09O5f/8+gYGB2Nvbk5+fj0aj4f3332fr1q1Aubt0586dREZGEhkZKWRp0KCB\nmWKpKArW1tbUq1dPfOdDhw4VB9hWq1aNyZMni7p96623cHJyonnz5uzZswcvLy/S09OFDKryoPal\nqgsnOzub27dvo9VqGT9+vJCnW7du7N27l4ULF7Ju3TqysrIAcHJywsbGhgYNGlBcXMyJEyfIyspi\n/vz5fP/99yQnJwPlbnqTySTKCw8Pp7i4mI0bN7J27Vrq1KkDQGZmJoMHDxaWKJUTJ05w6dIl7Ozs\nmDp1KkVFRdy/f5+QkBCcnJzIzc0lKCiIK1eukJ+fj6WlpVBsDAYDHh4ejBs3TridhgwZQtu2bUlN\nTeX8+fPCYuTq6sr169ext7fHzs6OtLQ0YmNjSUlJYeLEiQAUFRUJeVUXTuPGjcnJyQFAr9fj6+vL\nnTt3yMzMNNt09dSpU9SvX5/Y2FiGDh1KYmIiAF988QVvv/02e/fupaSkxCw+ZcWKFcyYMYMJEyaI\n72/79u1Aef/09ddf069fPzNXvvpthoeHo9PpaNasGePHj8fb25u+ffty8uRJUTd79+6levXq3Lhx\ng5kzZ3L8+HEsLCxo06aN2bj2a8gYmN8gPT2dy5cvP9QKoDJ+/HhatWpFWloaPXv25MaNG7z33nvM\nmDEDS0tLMjMz+fHHH83u2bZtGzVr1sTKyorS0lJeffVVfv75Z3Q6Ha6urnh7e1NWVsaKFSs4deoU\nRUVF9O7dWwyO/fv35+zZswwcOFAoCADZ2dnodDqef/55tFothYWFlJaWYmdnR3BwMDqdDkVR8PDw\nYNCgQRQWFpoFVHl5eXHq1CkURWHIkCE0adIEgH379gm/vOqnjoyMZNCgQUD5TKhJkyY4OzuTnZ3N\nvXv3eOmll4TSA//eBPCDDz4AQKvVms0uQ0NDmT59OocOHWLMmDHk5uYSGRlJ69atuX//PlDuY/bx\n8cFkMpGXl4eiKNStWxd/f39KSkqEO2PgwIFcu3YNKDczjxgxgubNm5Odnc2NGzdo2rSpUCYKCwvF\n/11cXOjbty83b94E4PTp00K+Zs2aYWFhQWlpKYMHD8bDw0N0/iaTSTyPWq5WqyU0NJT333+f7t27\ns3r1atLT0/Hw8MDNzY0vv/wSo9GIs7Mzb775JlCuMEF5x52fn8/u3bspKysTboYtW7ZgY2PDkSNH\nhOtNr9fj7+9PRkYGsbGxODs7M3/+fNzd3YHyTnjYsGHCBOzo6IiVlRV79uwRFqULFy6I8tW/vby8\n0Gg05OTkcPDgQQDKysrYvXs3Dg4O/PLLL1SvXh0on/Gq7Uh9hvj4eDGwmUwmrKysxMBdUlKCh4cH\nXl5eAAwfPhytVouFhQUBAQEEBQVhNBrJz8/n2LFjWFlZ0bJlSzGzVn9LdSOmpaXh6+tLw4YNycrK\noqysjO3bt9O0aVN++eUXM/O9VqtlxIgRjBkzhsaNG9O9e3c8PT3N3Jzr1q0Dyr//Pn360K1bN6G4\nZGZmkpKSwowZM8TzdevWDSjfmXvSpEkUFRURGxuLyWQSlj5vb2/q1q1Lfn6+GFRVOQHq16/PkCFD\nxIAEcObMGSIjIzlx4gRHjhzBzs5OWIIuXbrEmDFjmDlzpsi/e/du3NzcRP0UFxfz3HPPoSgKn3zy\nifh2AwICKCsro6ysTLhgABYvXoyHhwfVq1cXilSVKlX45ZdfgHIXwM2bN4WVKTU1FUVReP3110Xd\n5uTkYDKZaN68OYmJiVhbWzNs2DCioqIoLi4mJSXFrM+6cOECOp2OcePG0aVLFyoyc+ZMJk2axJIl\nS8jKyqJRo0Y0adKE7OxsUlNTuXLlCiNGjADKY3ZWr17NwIEDmTBhgnh/D7o+ysrKhPusc+fOIv3o\n0aN4eHig0+lE2qRJk3jttdeoX78+27Zto6CgAK1WS1lZGffu3cPJyQlnZ2dGjBiByWSipKSEjIwM\noVBmZmYye/ZsLC0t0Wq1KIrC2rVrMZlMJCUl0a9fP+7fv09oaCj16tXD2dlZTArnzJlDSUkJ/fr1\nE3VrMBjMrF1WVlaMHTuWli1bYjQauXDhAlqtFo1GI2J3cnJyOH/+PNevXwfAx8cHDw8PAL7++mv+\n9a9/4eTkREFBAX369OGbb74xs9K89tprNGrUiC1btjBmzBigPI7qhRdeYMaMGSLmMTc3lw0bNgDl\nlqvp06dz/vx5Ro8eDZRb2wMCAmjQoAHr16/H3d2du3fv8o9//IPbt28za9Yspk6d+tBx7VFIBeY3\nUDuoir7/R7FixQqKiopYtmwZ0dHRdOjQgQ0bNqDRaFi4cKHIpygKu3btEi6nxMREEhMTefHFF8nO\nzmbNmjVs2bIFRVFo06YNRqORa9euiVk4lM+Sly1bxqVLl9ixY4dIz8/PZ/HixQQGBmIymYSC4OPj\nQ5UqVdDpdHh5eREfH8/ixYsZPXq0md/6zJkzQLl1Z9SoUWIWAYiOUu0Ev/32W7788kugvPHu379f\nzHwGDx7MwIEDad68OQDu7u7s3r3brC49PT3Zvn27+CDj4uIYMGAAw4cPx9LSkkaNGrF8+XJq5ukm\n6QAAIABJREFU164tZjVFRUW4uLgIJaFhw4ZcvXpVlKEODBERESJP27ZtGTZsGG+//TYA169fR6vV\nmp0sXq9ePcrKyli8eDFubm4sWrQIk8nE2bNngfJDO7VaLX5+fpSWlnL//n26devGgQMHqF+/PhqN\nhpdffpl169YJa5zJZCIuLo5hw4axbNkyAEpLSwkODmbr1q2io5o4cSKBgYEYjUasra3F+1I/4Bo1\navDll1/i7+8PIAYTtZPZtm0bHTt2FNacAQMGEBUVhY2NjXi+goICcnNz0el05OTkMHbsWGGRsbKy\nEkqLagYHePfdd2nbti0uLi58/PHHou7y8/MpKirC1taWe/fuERgYSE5OjnjX7du3B8qVoYptq7i4\nWHTsrq6uQklQ32tWVhZFRUWcO3eO+Ph4KtKpUyfy8/NxdXUFyr+hgIAAURcfffQRiYmJvPLKK6xc\nuRKAr776ChcXF2F1UttGSUkJVlZWtGrVismTJ3P58mX69+9Pu3btgHIF76effgKgdevWxMTE8OGH\nH4q4F61Wy9mzZ8nMzBTWtYrm/MOHDxMaGiqUUisrK2xtbfn+++/ZuHEjzs7Oom2OHj1aTG727NnD\n0qVLadOmDYCwCrZs2ZKzZ8+SlJSEvb29cHMAREdHC8uQi4sLJ0+eFJYzKHehfPzxx4SGhoqATW9v\nbzZv3oynpyd169YlKipKyD527FhSUlLo0aOHiE965plnhAXGaDRy5coV8S0PHTqUu3fvivcC5e1+\n5MiR7Nu3D71ez/bt2xkxYoSw3BYWFrJx40az97tx40YGDhzIrFmzhPUTypXzzZs34+HhQXh4OGvW\nrGHVqlU0adIEKysrbt++LZ713r175OTkMGnSJKZPny7e5b1794Rcat7s7Gzmz59vFkCfkpJCcHAw\nUK6YQbkVTLUIWVpaMm/ePNEXVK1aFWtraxYsWEBSUpJw2f/www8EBgaKtpaamorRaESv1zNq1Chy\nc3MBCA4O5tChQzRp0oQZM2bg5OSEj4+PUA7j4uKYPHmyaM96vV5M5KDc4ty6dWsGDRokFAv1NxVF\nEfFb0dHRlJaWkpmZSUBAAJ988omIQxk3bhzr1q2jSpUq1KhRg/j4ePHdq7Fjd+7cwWQyMWfOHKFg\n1qlTh+HDhzNs2DA+++wzCgoKzMaoiIgIoqOj+eCDD4iKisJkMlG3bl3s7e1xdHQUrryVK1dSXFzM\nsmXLaN++Pc8999xDx7VHIRWY30A1cVc0Qz6Kn376iaZNm5qZvlxdXalVqxZXr14VpvGysjJycnKE\nAnPnzh2Rp27dunh7e2NtbU3Dhg25fv061atXr2RGLy0txcvLC19fX7Oo+GrVqomZNyBmURqNBq1W\ni7+/P3q9XnRyZWVlQukoLi7m/v37aDQazp07R2lpKbGxsSJWQA16VQfWmTNnikau0+nQ6/V07NhR\nPCP8uyMIDw8XJk11ZYOtrS16vZ733nsPgCZNmtCuXTsx0F28eJFbt27x008/iY5l1KhRony9Xk9h\nYSHBwcEcOHDA7F2kpqZSXFyMTqfj0qVLlJaWcuTIEfR6PSaTifj4eLPg1ps3b1KnTh08PDxo3rw5\nJ06cIDY2luzsbKC88yotLcXHxwcoV2jeeustysrKsLCwwNPTkwkTJmBjYyOsdZaWlmzatIlNmzax\nbt06qlWrhkaj4dChQ+zbt0+4D2vUqEFsbCyOjo7CpLx9+3Zhsbp+/TqrVq0SgZQjRoyoZBG8c+cO\nO3bsoKSkhHr16nHx4kUzE7K6WsjBwYGysjJefPFFMSg5OjqK2CRVwVDl6tKlC5mZmUKWhIQEoqKi\nyM/Px8HBgYyMDF577TURxwQIRevatWtCmYFyK4s62N69e5fz58+L312xYgX+/v74+PgwZswYnn/+\neQARVNmyZUvi4+PNTNyvvvqqeD/Xrl2jtLSUZs2a4eXlhZeXFzdv3hSDhdFoFEqwnZ0dRUVFdO3a\nlVu3bhEfH0+7du3E96UoirCC1KpVi9LSUkpLS8XA6uHhwZkzZ5g7dy4mkwlnZ2chr06nQ6vVMmXK\nFGEtcnd3Fwqlqjipz9C2bVsAofy9+OKLdOnSBScnJ8rKyjhx4gTNmzentLQUBwcHrK2tyczMZNq0\naRiNRg4cOCC+y9LSUjG5UPsA9ZldXFxEH6YOtKoLRLWCQfksuaSkhHnz5nHo0CE0Gg0XLlwQViJX\nV1eeeeYZ4Z5cv349NWvWFJZKe3t7LC0tSUxMxGQyERgYiKOjo1m7gvJBXsXGxoYqVaqI/6sTJvi3\nBTQlJYWWLVtSVFREUVERLVq0EIOlOsnw9PTE1dWVuXPnCtdiXl6ekHXUqFEUFhaayeHh4YGPjw92\ndnZ4eHhw6NAh7t27J2KFVOsOgJ+fH9bW1tja2gqLYkBAACaTiZ07d/LCCy+g0WioW7cumzZtAsrb\n7+zZs0Wbq4idnR1xcXFCcVZ57rnngPK4rClTpghlqKioiNOnT4s+NSoqiri4OC5evMjy5cvN3NO+\nvr7i/L7nn38eNzc3ysrKSExMFJYYKFc0TCYTubm5+Pr6cujQIT744AM6d+4s3lmnTp344YcfSE9P\nFzFcJpOJ0tJSWrZsSX5+PvHx8dStW1dMwKZNm8bBgwcJCwtjxIgRZuETFYmNjSUsLEy0kUeNa49C\nxsD8BurHrTaah5Geno6bmxs5OTlmQbUqAQEBJCUlceLECaB88G3SpIkI5iouLiYtLU00LLXBQnmQ\nn5ubG1lZWcI6AtC1a1fxd9WqVcXfOp3OLEi3ojkUyn3Y6moLRVFYvny5mEWq7ilFUXjvvfeEYqFa\nXvLz87l8+bKYxfj6+gprg729PXq9XlicDh8+zKhRo8RMraKMquKgyqYO5AaDgcGDB4ulmIWFhSxY\nsICcnByzWZkqo9FofGRQrdpplZSUcPnyZbM6BcjIyDDrNNXlo2o+nU4n4gWgfMam+v3VfMXFxcTF\nxREfH49Wq+XLL79k0KBB4nm0Wq1QvNTnzs3NJS8vj0uXLgkLjDr4VZTj4sWLREVFcfz4cRE7Av+O\ns+nevTuXLl1i6NChTJ48mcDAQNzc3NixY4eY+VfsNNTO087OjszMTM6cOUPLli25cuWKGBQq1u2D\ncqlcu3aNIUOGcOjQIVG+atlSmT9/vvi7ojK/YMGCSuV9//33AOzYsYNLly6hKArffPONsNyocVvq\nLM5oNAolJioqSsiqzkArrg6xtLQkLi4OvV6P0WgUSoOq2FWctT7zzDPi74pL0ZcvXy4GM5WqVaty\n9uxZfvrpJzEjVtu5i4sL6enp9OrVS7hKk5OTCQ0NFfdXPM3e2toaS0tL3n77bY4cOcKqVas4e/Ys\ngYGBHD16lOTkZCwsLHBwcMDT01Mo91qtFktLS4YPHy5m0xVja6pUqUJ6erqw0t27d08oMA8O4s2a\nNePrr7/GwsKC9evX06NHD8LDw7lw4QKKonD69GnGjRsnyqm4Quju3bvcvXtXvGdLS0ssLCyEYnnm\nzJlK3x5gtny34kG46enpZi5tVZE0mUzMnTuXuXPnVipLtbA888wzrFmzhpEjR4o6cXd3F1b0sWPH\n8umnn2I0GunYsSPvvPMOHh4eTJ8+na+++or58+fToUMHMjMz8fHxITc3l1WrVjF69GhKSkpEf2Fp\naSn6exsbG44ePUpWVhbdunVjwYIF2NjYiO/e0tKSLl26cO7cOVasWCEUQSj/Pk0mU6VYD9Wa5eLi\nQseOHbG2tmbChAloNBpKSkqERebevXtcvnyZF154AWtrazMro4+Pj3Ch37lzh+bNm7N161YKCwvF\nJBMQf6uKr4uLCy+++CIvvviiiIHRaDQiFED9ZmbPns3s2bNFORkZGdjb29O7d29Wr17Nli1bWLt2\nLY6OjgwePFiEGjzI/fv3iYuLe2gbqThmPAppgfkNXFxcCAgIMAtMfJD+/fvTv39/qlSpUmnNPJQr\nKLa2tuzYsUME1Hbv3l1c1+l0+Pv706ZNG2rVqiVm7Zs2bWL+/Pki2LZly5bC7dGpUyeRRw1ihfLO\nsk2bNg/dj6GgoICrV6/i4uLCgQMH8PX1JTs7W8wUVe3Z1dUVJycnxo8fj5OTE5s2bcLb2xuNRsOx\nY8ceqk1rNBqaNm0qzLQJCQkkJyeLjr2iNUDt3AoKCoiMjOTnn38W11xdXcWs0dfXl2vXronOGBCd\nKpSb5v38/Ni0aZOY9auoHZijoyOWlpZMnjwZa2trfHx8CAgIoHnz5uIQTnt7ezQaDWPGjBF1unz5\ncn744QcaN24syhwzZgwvvPACFhYWnDp1SgSvhYaGYmNjw+zZs4mLizMz8z6IVqtFp9NRUlIilk8v\nW7aMzp07Y29vL2Zu/fv3Z9GiRWIW5eTkJCxhc+bMYefOnTRu3JhevXrh7OzM9evXSUhIQKPRUL16\ndU6dOmW22kF1J6l1Fxsby82bN3F1dSU3N9esE1WtJMuWLWPTpk1ER0cLy5OFhQXt2rXD0tJSdJbq\nqp2WLVsCmFlPJk+eDJQrFqtWrRIBiRMmTMDNzU18L99++y2+vr60aNGC3bt3m7VpKB+QQ0JCRCyL\nRqPB3d1dWEirV6/Oyy+/bPbtREdHc/XqVapXr45Go6Fbt274+fmJmIigoCD8/f3p168fmzZtYtiw\nYWZ1BOV7c6jlqYN4ly5duHDhgtjHqEGDBmJvi9DQUBRF4ciRI2JQMJlMYvICmLUPW1tbSktL8fT0\nxN3dHV9fX+Lj44WMVlZWnDx5EqPRiNFopKCgAAcHB8aNG0fNmjWJjIwkOjoaePhy/KtXr1JUVMSd\nO3dEW7p06ZKZEqPKWVZWJlbftGvXjgEDBgjL7bfffguUuw4q1lWjRo2oW7cu//znP0VZFhYWYlIU\nHh5u9k7UNvnqq69WkhXK233FiVrF+JUXX3yRDz/8UPyrU6cO4eHh4vk3b95MzZo10Wg0jB07Fii3\nmqjUqFFDtBdnZ2dh6YmMjMRkMnH16lVhSVb35lq9ejVfffUVZ86cMXtvqoKjxjBVnJA+DPU5Kk6E\nrays0Ol0Zspcdnb2QxeLQHm7rF+/vojPu3DhAhYWFixatAiNRmOmGLu5uaHX6wE4d+6ccBNaW1sT\nFhYm3PjLli1j8eLFpKWliRhHFXVC2717dzEpnjx5Mu7u7nTs2NHsvaoWxLKyMry8vIiNjWXFihU0\nbNhQ9IuPqpeWLVualfWwce1RSAXmMVD3JnnQbwvlHe/Vq1fp0qULDRs2JDY21qxBZmZmcvz4cUJD\nQ9m3b58w5T/77LMij7u7O8nJyURGRpKcnIyTkxNBQUGsWLGCTZs2cevWLRGlPnjwYKDcBKvRaFiw\nYAGnTp0Cyt0gJSUlaDQasxmfihr0Wq9ePby8vPj888/RaDQiENLGxgZnZ2fu37/P/fv3OXnyJM2a\nNaOwsFC4ZHbs2CE+jAdxcHAQwYxWVlasW7dONNwLFy6ImZaqsFhZWZGfny9mFFA+QIaHh2NtbU1y\ncjL16tWjYcOGwj2h7p9iaWlJcXExUVFRBAcHV1qe6uXlJdxFwcHBnD59WiiSKSkp5OXlCeXExsYG\nRVEoKioiODiYbdu2sWjRIgoKCkQ9GgwGBgwYQPXq1UUQX0JCAnq9nqKiIjFbuHXrlgjafBiqFaFW\nrVpiRUX9+vWJjo4mLy9PzGpcXV158803hZKQn5/P3bt3CQwMRFEUjh07RuPGjSkrK0Or1WI0Grl1\n6xY6nY5GjRpV2mtBdV/l5eWh0WiIjY3l9OnTKIoi4mJUVKta/fr1CQ4OFsuL4d9mdAcHB7Kzs6lS\npQp37twhODhYDBa7du0CoGbNmsKy06hRI5o2bSo6cIPBgLW1tVAW6tevj4uLixhgKlq7VFq0aCHc\nl+osXZ2tJicn06tXLyHHggULyM/Pp7S0lFu3bonVIaNGjRIWlhs3bnDlyhX69+9PcHCwUKZ8fHyE\nO8nLy4vg4GCCg4PN3DGKopCfn49erzdzRaqrOzZu3Iifnx96vV4EZu7du5fS0lKOHj0qnltVDHft\n2kWLFi2EInnixAlcXV0JDw9nxYoVGI1GkpOTyc/Px9bWlpKSEnr27ElCQoL4nq5fv26mfKnt7eDB\ng9y9exc3NzcMBgPFxcVMmzZN5FUDtKHclQflwdH5+fkoiiL2jIHy/sxgMIjgbfVbOnfuHFDex6gW\nCK1Wy9WrV8WKqeDgYBGr9jD3gNqXVlTE1O+vRo0aFBcX061bN7p160ZGRgaZmZkkJiYKS2ZBQQEx\nMTHUrFlTBCarcv0aLVu2pE6dOnz00UcYjUazrS2cnZ2ZO3cuer3ezGKrTiTT0tLYv3+/6Pcehfp9\nVXTXaTQawsLC2Ldvn0iztbU1m+yp+aC8fy0pKRErkWrVqkVISAjbt2+nsLDQ7N1rtVoxQSsoKKBV\nq1b4+PhQVFREYGCgmLTqdDpWrFiBRqMhKSnJzNWnjis3btzA398fJycn7ty5Q1RUFOfOncNgMHD/\n/n3mzZtHXl4e+/fvZ+3atYSEhKDX64mIiGDSpEkAQgF6cPKrhklUbCPq96v+/q8hXUiPwfPPP8+B\nAweYPHmy8JdrNBqxOVDHjh158cUXSUtLY8uWLQwYMECY8RctWoRer2fixIl0796d2NhYLCwszAYY\ndenbN998g5OTE6+++iru7u7ExcVRtWpVNBoN9erV4/jx43z77beEhIQQHx9Pjx49xIx78ODB4oXH\nxMQ8dLMgdRZw/fp1jh8/TlZWFk5OTmIghXIrQ0xMDFqtlv3799O4cWOxKZ5erycuLg5HR8dK/lyV\nCRMm8N1331FcXMzSpUupXbs2169f5+LFi3Tt2pXvvvtOKHiFhYU0a9ZMxK8cPXqUdevW0ahRIxFE\neevWLZydncWHFRISQkpKihjYr1+/zsGDB4VbTMXCwoKwsDCxbG/nzp14enpy6dIlrKysqF69upiF\nZGRk4ODgwMKFC9m2bRs3b97Ey8sLV1dXEVU/ffp00amp1oevvvqKdu3asWvXLiwtLbG1tWXr1q1i\nICwtLWXt2rXUq1cPvV5Pbm6uWAI+YcIEBg8eTHFxsVhu6ujoKGbq169fJy0tjdzcXDw9PcnKymL7\n9u2iA8jJyRHncqlBtVAe6+Hl5cXJkyeFpUuj0WAymfDy8hIdiapY6vV63N3dhavByspKKGDqnhHL\nly/Hzs6O/Px8YeqtVq0a58+fp0aNGixZsoSzZ88KJVO1kvTu3Vu4Hzds2MDly5eFZXDWrFnk5uZi\nY2NDYWEh586dw9vbG2dnZ5YuXWq2H4VKixYtzNxTiqLQqFEjduzYgYWFBUeOHOH48eNs3bqVq1ev\notFosLW1paCgQCjq0dHRREREcPz4cXJzc6lSpQq7du0iPj5eBA3OmDGDe/fuMXToUH744QcMBgNZ\nWVliXw5/f38CAwNFTE5ycrJQAtSVH/v27aNjx440aNBATHxGjhyJv7+/CIqE8oDa6OhoPvzwQ9q3\nb89PP/0kXDA9evTAy8uLTz/9lLCwMK5du0Zubi716tUjIyODEydOkJ2dLd5zTk6OsLKo1K1blzlz\n5qAoCi4uLgwbNoyBAweydetWLC0tycrKMrMszJ07F0tLSzM3UWhoqOhbCgoKeOmll4TimJqaamaN\n02q1Yq+aHj16sGHDBqKjo+nevTuJiYkirmbnzp1iQmM0Gnn//fdFX1pcXMzFixeFmzg6OpqjR4+y\nfft28vPzsbe3F9+CTqcTA7per2fu3Lk0b95cbJHwqJ187969K2JnoHwVmeqe0mq1wv2iruRUJwAq\ner0ee3t7EhISUBRFWIHUOlLLNplM/PDDD6JtdezY0Sw4ddiwYfTv35+YmBiys7PJyckRish7771H\nZGSkaFs2NjakpaUxefJkdu3aRVJSEs2aNWPnzp1UrVpVWKkVRTELrFZj7FTlPzMzU1jgxo0bh06n\no0uXLmzevJk2bdrQpUsXbty4ISxhx44dY/Xq1Zw7d44PP/yQ7t27k56eTqdOncjMzMTLy4uff/6Z\nlStXoigKN27cYP/+/eh0OlauXGkW2+fo6MiFCxeIjY0lNDSU/v378+233/L666/z6quvotPpWLZs\nGWfPnmXkyJEPfXcVkRaYx0Cj0TBnzhymTJnCpUuXGD9+PKNGjeLUqVPExMSIDaG8vLxYu3Yt7u7u\nvPPOO0ycOBFvb2/WrVtHvXr1aNOmDdnZ2ZU2QNLpdKxduxZfX1+MRiNpaWnExcXh4ODAoEGD8PLy\nomrVqnz11VfY2tpy5coV9Ho9lpaWKIrCmjVrOHLkCPb29lSrVo0+ffo89DlsbW3x8fEhLy+PwYMH\nM3v2bKKjo4U2npGRQc+ePZk0aZKYCat7o6xcuZKwsDBsbGwqxdVUxN7eXkTtm0wmoVg899xzIj5B\nNbffunWLtLQ0Ya69fv06U6ZMYePGjTRs2BAXFxd++uknfvzxRzHLjY2NJTExEQsLC+rXr09hYSEj\nRoxg3759lQY8ddaQnp5OWVkZ9+/fx93dHT8/PzQajdkOvyUlJeh0Ou7du4ednR2pqamYTCZhpam4\nKaBGo+Ef//gHxcXFQvkqKSmhrKwMFxcXsYrAZDIxbdo0+vbtS+/evUlNTUWr1dK8eXNCQkKEC2LW\nrFn885//pHr16sLUu3XrVhwdHUWsU3FxMVZWVnh7ewu5U1JShNUNyn3GHTt25KuvvuKNN94QJuAm\nTZpw5swZvL29zVxFVapUoVevXtja2gpfeNOmTUVg6ciRI1m1ahX9+vUTM0x1VZutrS0hISHY2tqi\n0Wg4c+aM6CBVU3rFIzbu3LnDnj17xEDn7u7ON998I2bYrVq1IiUlhV9++YXt27czefJksxgXKF+1\noSrhZWVl3LlzR+x6W1ZWxuzZs5k5cyZXrlyhZs2avP3227z44ot4enpia2tLQkICAwcOJDU1Vaz0\nycnJ4cMPP2T37t1C7po1a4rAyrS0NN58800++OADMVBaW1uL5fMajYarV68Kq5OK6lq4ceMGI0aM\nwMbGBqPRyC+//IKNjY3ZTHT27Nm88sorIhjX2toaKysrTpw4IQLeW7VqJX7T29ubmTNnim9LLatn\nz56kpqaauYeCgoJISkoS7raoqCgWLFhAjRo1MBqN3L17V7wTjUZDr169cHNzo6CgQLSf3NxcERRr\nYWHBxYsXhUu9du3auLi4sHDhQqpXr46iKMIiMnXqVF577TUyMzNZsGABO3bsoGbNmqxevVr0pWr5\nD/alqhVw1KhRfPjhh/Tu3RsnJycOHDjAtm3bROBvWFiYcH2rMXGq8gI8clv73bt306tXL3r16kXv\n3r1ZunQpYWFheHh4kJubKyxRoaGhhIWFkZ6eXunImCpVqpCfn0+HDh3MJozXrl0TbqCysjJiYmJE\nAPeDm4tGREQwa9YsfvrpJy5fviz6HSjvD9euXUtycjKWlpZkZGTQtm1bMfFq0qQJcXFxYjm8h4cH\n7u7uGI1Gdu/eLaxcN27cICYmhtq1azN27FjR70L5N7Vq1SqmT59Ox44dycrKYtmyZezdu1d8exs3\nbiQsLIw+ffrw3nvvcfr0acrKykS/mpSUxMcff4yvry/z5s2jSpUqjBs3juHDh1NcXMzy5ctFv/Pa\na69hNBp5/fXXOX/+PNWqVeOrr77CxsaGt99+m1GjRmEymVi+fPlD40kroUieGC5evKjs2bPHLC03\nN1cJCgpSVq5c+RdJ9efz448/KpcuXTJLW7duneLv769kZ2f/RVL9venUqZMyZ86c33XPk/Ae/xO5\nJZI/iyfhG3makS6kJ4jc3FyGDh3KkCFDiIyMJC8vjxUrVmBnZyeW1v0d2L9/P0eOHGHMmDF4eXlx\n7do1PvnkE7p27WoWbyD536IoCgsXLiQhIYFbt26ZncnzOPxV7/G/lVsi+bOQfd1/h0ZRHoj6kvyl\nfPfddyxbtoykpCQRkDl27NjHPmvk/wL5+fl8/PHH7N27l3v37uHu7k6XLl0YNmzYIwOIJf8bOnfu\nzN27d3n33XfNlu4/Dn/le/xv5JZI/ixkX/ffIRUYiUQikUgkTx0yiFcikUgkEslTh1RgJBKJRCKR\nPHVIBUYikUgkEslTh1RgJBIJAO+88w4Gg8HsZOWKxMbGYjAYxPlFj8PmzZsxGAxmm4Y9riwVz5F6\nFG3bthV7lPyv+E+e+3/Jn/HMEsnTgFRgJBKJGbNnzxa7u/63NG7cmFmzZokN8CQSieSPQiowEonE\njMzMTD7++OM/pKwaNWrw/PPPVzpxVyKRSP5bpAIjkUgEer2eqKgoNm7cKM42kkgkkicRqcBIJBIz\n1LOw3nvvPXEuy6P4+uuv6dy5M0FBQbRo0YIPPvjA7DTdh8XA3L59m7feeosmTZrQtGlTpk2bxvr1\n6zEYDCQnJ5uVf+rUKXr16kVISAitW7fms88+e6hMa9asoXXr1oSGhvLqq68+9BTinTt30r17d4KD\ng2natCljxowRh1hC+YnWBoOB1atX06NHD4KDgxkzZoy4npOTw8SJE2nSpAkNGjRg6NCh4nRtlczM\nTCZOnEhkZCTBwcF06dJFHAhakVu3bjFy5EiaNGlCSEgIPXr0MDtAUeXQoUP06NGD0NBQOnXq9NBT\nnCWSvytSgZFIJGbUqVOHgQMHkpCQwNdff/3IfHPmzGHq1Kn4+/szceJEcZDk66+/Lk4Pf5Dc3Fz6\n9OnDkSNH6Nu3L6+//joHDhxgzpw5lfKWlpYyaNAgQkNDmTBhAjVq1GDevHmsW7fOLN/p06eZM2cO\n3bt3Z/jw4SQmJtK3b19xojDAypUrGTlyJFZWVrz99tv07t2b/fv389JLL1VSQubMmUO9evUYP368\n2SnDM2fO5ObNm4wePZoePXpw4MABRowYIa5nZWXRq1cvtm/fzvPPP8/48eNxdXVl0qRJZs938+ZN\nevbsyfHjx+nTpw+jR49GURSGDRvG+vXrRb4jR44wZMgQysrKGDNmDM2bN2fo0KHitHOhdjY2AAAH\nH0lEQVSJ5G/PX3gOk0QieYIYP368EhQUpCiKohQWFipt2rRRGjVqpNy9e1dRFEU5ceKE4ufnp2zf\nvl1JTExUDAaDsmDBArMy9u/fr/j5+SmbNm1SFEVRvvnmG8XPz085c+aMoiiKMm/ePMXPz085ffq0\nuOfOnTtKeHi44ufnp9y6dUvI4ufnp3z99dciX15entKwYUOlf//+Iq1NmzaKn5+fcvLkSZGWlJSk\nBAQEKKNHj1YURVEyMzOVkJAQpU+fPkppaanIFx8fr/j7+ytjx45VFEVRbt26pfj5+Sndu3c3eyb1\nuXv37q2UlZWJ9HfffVfx8/NT0tLSFEVRlJkzZyp+fn7K0aNHRR6TyaS8+eabir+/v5KYmKgoiqKM\nGDFCCQgIUK5evSryFRcXK927d1fCwsLEIX7dunVT2rdvrxQUFIh8W7ZsUfz8/JQBAwYoEsnfHWmB\nkUgklbC2tiYmJoacnBxmzZpV6fq+fftQFIU2bdqQmZkp/oWEhODk5MTBgwcfWu7evXsJDQ0lPDxc\npLm7uz/yvKJOnTqJv+3s7PDx8SEjI8MsT3BwMI0bNxb/r1WrFi1btuTQoUMoisLx48cpKiqif//+\nWFhYmN0XFRXF/v37USqcqNKwYcOHyhIdHY1W++8uMygoCEBYRPbv309gYCCRkZEij0aj4Y033sBk\nMrF//37Kyso4dOgQbdu2NTvfTK/XM3DgQAoKCjhx4gT37t0jISGBLl26YGNjI/J17doVJyenh8on\nkfzdkKdRSySSh9K2bVvatGnD1q1b6dmzp9m1mzdvAtCtW7eH3vugW6bife3atauUXqdOnUppOp2u\n0om8VlZW5OTkmKXVrl270r01a9Zk37595Obmiriah+Xz9fXl8OHD5ObmirRHrZhydXWtJAtASUkJ\nACkpKTzzzDMP/Q0oj/3JysqioKDgobL4+PiIfJ6enkD5Kq6KaLVauSRdIvn/SAVGIpE8kpiYGI4f\nP87UqVOZMGGCSFcDab/88kssLSt3I3Z2dg8tr7S0FJ1OVyldVQYqotFoHkvGilYRFdWi8rBrFSkr\nKwMwk+lR9/xWWcojzsWt+BuPygP/rtOKshQXFz8yn0Tyd0cqMBKJ5JFUr16dN954g3nz5rFy5UqR\n7uXlJa6rlgOVnTt34ubm9tDyatSowY0bNyqlPyztcbl9+/ZDy3NxccHe3h5vb28AEhMTK8mamJiI\no6OjmZvmP8Xb25vExMRK6Wqah4cHLi4u2NjY/Ga+6tWro9FoSEpKMsujKAopKSnSjSSRIFchSSSS\n3+D111+ndu3aHDhwQKS1adMGKLfAVOTHH39k5MiR/Pjjjw8tq127dpw9e5aLFy+KtOzsbLZv3/4f\ny3f69GmzFUfXrl3j8OHDtG3bFoCIiAj0ej0rVqwQ1hCAhIQEjh07RqtWrf7j365ImzZtOH/+PMeO\nHRNpiqLw5ZdfotFoaNWqFRYWFrRs2ZL9+/ebyWw0Glm+fDnW1tY0a9YMFxcXwsPD2bJli9muyLt2\n7SIrK+sPkVciedqRFhiJRPKr6PV6Jk+ezIABA0Sav78/vXr1Yv369dy7d49WrVqRlpbGmjVrqFWr\nFq+88spDyxo4cCDffvstffv2pV+/ftja2rJ+/XoxSD+u26giDg4O9OvXj/79+1NaWsrKlStxcnL6\nf+3dv0tqYRzH8fcdcjKOChXooCQotLQGQksNOtQkgj+mfgxOWVuLUGFBIroILXEgRaxBjBaHwCGw\nOZr6C5pyiogwvMOFA3Hv7dblYhzu57Wdh2f48kwf+H6f51hXnD0eDxsbGxSLRTKZDLFYjH6/T61W\nwzAMNjc3/+JUfra+vk6n0yGbzZJOp/H5fFxeXtLr9VhdXbXmXra2tri+viaVSpFOpzEMg4uLC25v\nb8nn8zidTuDH/6AymQyJRIJkMsnDw4NVs4gowIjIB0QiEaLRKJ1Ox1rb2dlhenqas7MzDg4OcLvd\nRKNRcrncb1scLpeLer3O/v4+x8fHjI2Nsby8jMPhsL4/a3FxEb/fj2maPD4+Mjc3x/b2NlNTU9ae\ntbU1JicnMU2TYrHI+Pg4CwsL5HI5vF7v5w/kFzweD81mk0qlQqvV4unpiWAwSKFQIB6PW/sCgQCn\np6eUy2VqtRqDwYBwOEy1Wn0zBDw7O8vJyQmlUolyuczExAS7u7vvvs0j8j/5NnxvqkxE5B/q9/sY\nhvHmOjPA3t4ejUaDm5sbHA7HF1UnInaiGRgRGZnDw0Pm5+d5eXmx1p6fn+l2u4RCIYUXEfkwtZBE\nZGSWlpZot9usrKwQi8V4fX3l/Pyc+/t78vn8V5cnIjaiFpKIjNTV1RVHR0fc3d0xHA6ZmZkhm82+\necFWRORPFGBERETEdjQDIyIiIrajACMiIiK2owAjIiIitqMAIyIiIrajACMiIiK2owAjIiIitvMd\noW4/JSX3tzEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26faf7dc208>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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fzhVPiYiISCN1zvm4c+cOxo8frxY8AGDmzJlQKpX4448/mrU5IiIian3qDB+l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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26faf6938d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ERGrG818cr+spOCz54aC6noLUIl35EBERkVql4kNERERqlYoPERERqVUqPkRERKRWqfgQ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26faf5b9a20>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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emXV0dCQ0NNQonMxmM/n5+eXGzc/PN8671Ziy41/+voiISFVp4PjL/yTbHt/J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\nGNX/ABOFFq8veGQmAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26faf6584a8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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y1q5dS0lJCSaTiZ49e2KxWJg8eTL9+vVj8eLFuuupiEg9osXeUt0cutR2w4YN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\nl8EvbmaPnGgAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb08e2978>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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AwEDgxkdzs7Oz2bVrl1GTmJjIb7/9ZlWTkpLCgQMHjJq9e/diNpuNmkcffZRffvmF06dP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\nAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb08ef240>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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aa9euZe3atWRmZhIREcGzzz4L3LweR0ZGBh999BHbt2+nVq1azJ8/3+p6HB06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\n0KZNG5XA6109f/78ne5bryNqPmqQsbExQKVtr+X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ZM2eyadMmZs+ezdGjR/nxxx+ZOnUq\nc+bMkdK1adOG4OBg9u/fj4eHBy1atGDevHmYmZlJfU5u374tpXd1dWXv3r1cuHBBmoDxyJEjmJub\n06pVK5XfsG3bNhQKBWvWrJGWjRo1Spq+3MPDgx49ehAXF0dGRkal/VwEQfgfEXwIglCrFAqFyrKG\nDRsyevRovvjiCwCpFmLy5MlK6fr27Uvr1q1JSEhg9uzZJCYmIpPJmDRpklK6sWPHsnbtWhISEvDw\n8HjrPvXo0QMtLS2SkpKk4CMhIeG1TS6xsbEqHUkfPHiAjo4O+fn5b92eIAjKRPAhCEKt2rJlCwAF\nBQXEx8fz/fff87e//Y3Zs2ejplbW8nvr1i1kMhktW7ZU+b65uTmnTp2S0hkZGdGgQQOlNHK5HFNT\nU+7cuVOlfdLW1kahUJCYmMhnn33G7du3yczMZPHixZWml8vlpKSkEB8fz40bN8jKyiI3NxeAkpKS\nKm1TEIT/EcGHIAi1ytHRUfq3q6srTZo0Yf369Tx//pwvv/wSUO50+qri4mI0NTWrlE4ul1d5v9zc\n3FiwYAF37twhISGBxo0bv3bIb0BAANHR0djY2GBra4uHhwd2dnZ4e3tXeXuCIPyPCD4EQahTc+bM\n4fTp02zfvh2FQoGrqyvNmzentLSUrKws2rdvr5Q+KyuLJk2aAGBiYsKJEyfIy8tTqv0oLCwkOzu7\n0iae13FxcUEmk3H06FESExNxdXVFJpOppMvOziY6OhpPT0/+9a9/ScuLi4t58uRJdX++IAiI0S6C\nINQxDQ0N/v3vf6OpqcnixYv5448/cHJyAmDTpk1KaY8cOUJWVpb0uYuLC6WlpSrpoqKiePbsGc7O\nzlXeDyMjI2xsbIiPjyc1NbXSUS4AT58+BaB169ZKy/fu3Ut+fj7FxcXSMjU1tTfWzgiCUEbUfAiC\nUOfatWvHxIkT+eabb1i5ciX+/v6MHTuWyMhIcnNzcXJy4vfffycyMhIzMzOpg6mzszMuLi588803\nZGdn07VrVy5dukRMTAydO3dm+PDh1doPV1dXVq1ahY6ODg4ODpWmadu2LcbGxoSFhZGfn4+RkRGp\nqanExcVRr149nj17JqU1MDDg5cuXhIWF0bNnz1p5c6sg/BWImg9BED6I6dOnY2Zmxs6dO0lLS2Ph\nwoX4+vpy8+ZNgoKC+OGHHxg9ejS7d++WmlhkMhmhoaHMmDGDtLQ0AgMDSU5OZsqUKWzduhUNjeqV\np8pHtzg5Ob22v4hcLmf9+vVYWloSERHB8uXL+e2331ixYgVeXl5kZmaSl5cHgKenJ5aWloSFhbF3\n7973ODqC8NcmKxV1hIIgCIIg1CFR8yEIgiAIQp0SwYcgCIIgCHVKBB+CIAiCINQpEXwIgiAIglCn\nRPAhCIIgCEKdEsGHIAiCIAh1SgQfgiAIgiDUKRF8CIIgCIJQp0TwIQiCIAhCnRLBhyAIgiAIder/\nAAlUHvTwCfVYAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb09ee470>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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jUmpoXffDhw9jxYoV9e5PS0uDjo4OYmJicP78eTx8+BBOTk4ICQnBoEGDhLrS0lJs2LAB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\nSUmRkJCQkJCQ+Fvy/wDa9IdfJpeBAwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb0a2e278>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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PPvlkrXfkk08+YcGCBQwZMoSxY8dy6dIl1q1bR8eOHY3Bs/369eP06dOsWrWK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\nhBBC5FoSqAghhBAi1/o/OZq3znLdqykAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb0dcf4e0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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cXGG/mpoaWrVqJdYkJiZWqDEyMoJUKlWoadu2rUJNeW/lNURERPRySoWP9PR0dOnSpdL9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\nQghhVpJ8CCGEEMKs/gdH5WBP8hnhJQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb0e9c9b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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LL7+koqKCe+6556YuOv2hN954g8zMTJ5//nnOnTtHUVERX331FTNmzKBly5b8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\niFUpfIiIiIhV/T9YNYtuI9a8ogAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x26fb15c14a8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAAFlCAYAAABLDIrrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XtYVXXe///nBkEOG9EEo1TEzGMW4hkPiUlqjpUzd5o6\nRprJbYbaeM5DYo4nREZLQ7lVfjZaaeYhyxlLHBvv8FBTE8qd2jgSYqioeNggIrC/f/hjTVsE2Yp7\nC74e1+V1tdZ6789+7xWXvFz7sz7LZLVarYiIiIg4iIuzGxAREZH7i8KHiIiIOJTCh4iIiDiUwoeI\niIg4lMKHiIiIOJTCh4iIiDhUNWc3cD/Iyrrs7BZEREQcyt/fp9RjuvIhIiIiDqXwISIiIg6l8CEi\nIiIOpfAhIiIiDqXwISIiIg6l8CEiIiIOpfAhIiIiDqXwISIiIg6l8CEiIiIOpfAhIiIiDqXwISIi\nIg6l8CEiIiIOpfAhIiJyD1u9OoGBA/uxenWCs1upMAofIiIi96i8vCt8+eVfAPjyy7+Sl3fFyR1V\nDIUPERGRe9S1a9ewWq0AWK1FXLt2zckdVQyFDxEREXEohQ8RERFxKIUPERERcSiFDxEREXEohQ8R\nERFxKIUPERERcSiFDxEREXEohQ8RERFxKIUPERERcSiFDxEREXEohQ8RERFxKIUPERERcSiFDxER\nEXEohQ8RERFxKKeGj/z8fP70pz/RvXt3WrVqRUREBKmpqcZxq9VKfHw8YWFhBAcHM2zY
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