{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Installation"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# run this cell to install pycaret in Google Colab\n",
"# !pip install pycaret"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# If you are using Jupyter notebook, you can pip install pycaret using jupyter notebook or command line\n",
"# pip install pycaret"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.0.0\n"
]
}
],
"source": [
"from pycaret.utils import version\n",
"version()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 1. Importing Dataset"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Id | \n",
" Purchase | \n",
" WeekofPurchase | \n",
" StoreID | \n",
" PriceCH | \n",
" PriceMM | \n",
" DiscCH | \n",
" DiscMM | \n",
" SpecialCH | \n",
" SpecialMM | \n",
" LoyalCH | \n",
" SalePriceMM | \n",
" SalePriceCH | \n",
" PriceDiff | \n",
" Store7 | \n",
" PctDiscMM | \n",
" PctDiscCH | \n",
" ListPriceDiff | \n",
" STORE | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 1 | \n",
" CH | \n",
" 237 | \n",
" 1 | \n",
" 1.75 | \n",
" 1.99 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 0 | \n",
" 0 | \n",
" 0.500000 | \n",
" 1.99 | \n",
" 1.75 | \n",
" 0.24 | \n",
" No | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.24 | \n",
" 1 | \n",
"
\n",
" \n",
" 1 | \n",
" 2 | \n",
" CH | \n",
" 239 | \n",
" 1 | \n",
" 1.75 | \n",
" 1.99 | \n",
" 0.00 | \n",
" 0.3 | \n",
" 0 | \n",
" 1 | \n",
" 0.600000 | \n",
" 1.69 | \n",
" 1.75 | \n",
" -0.06 | \n",
" No | \n",
" 0.150754 | \n",
" 0.000000 | \n",
" 0.24 | \n",
" 1 | \n",
"
\n",
" \n",
" 2 | \n",
" 3 | \n",
" CH | \n",
" 245 | \n",
" 1 | \n",
" 1.86 | \n",
" 2.09 | \n",
" 0.17 | \n",
" 0.0 | \n",
" 0 | \n",
" 0 | \n",
" 0.680000 | \n",
" 2.09 | \n",
" 1.69 | \n",
" 0.40 | \n",
" No | \n",
" 0.000000 | \n",
" 0.091398 | \n",
" 0.23 | \n",
" 1 | \n",
"
\n",
" \n",
" 3 | \n",
" 4 | \n",
" MM | \n",
" 227 | \n",
" 1 | \n",
" 1.69 | \n",
" 1.69 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 0 | \n",
" 0 | \n",
" 0.400000 | \n",
" 1.69 | \n",
" 1.69 | \n",
" 0.00 | \n",
" No | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.00 | \n",
" 1 | \n",
"
\n",
" \n",
" 4 | \n",
" 5 | \n",
" CH | \n",
" 228 | \n",
" 7 | \n",
" 1.69 | \n",
" 1.69 | \n",
" 0.00 | \n",
" 0.0 | \n",
" 0 | \n",
" 0 | \n",
" 0.956535 | \n",
" 1.69 | \n",
" 1.69 | \n",
" 0.00 | \n",
" Yes | \n",
" 0.000000 | \n",
" 0.000000 | \n",
" 0.00 | \n",
" 0 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Id Purchase WeekofPurchase StoreID PriceCH PriceMM DiscCH DiscMM \\\n",
"0 1 CH 237 1 1.75 1.99 0.00 0.0 \n",
"1 2 CH 239 1 1.75 1.99 0.00 0.3 \n",
"2 3 CH 245 1 1.86 2.09 0.17 0.0 \n",
"3 4 MM 227 1 1.69 1.69 0.00 0.0 \n",
"4 5 CH 228 7 1.69 1.69 0.00 0.0 \n",
"\n",
" SpecialCH SpecialMM LoyalCH SalePriceMM SalePriceCH PriceDiff Store7 \\\n",
"0 0 0 0.500000 1.99 1.75 0.24 No \n",
"1 0 1 0.600000 1.69 1.75 -0.06 No \n",
"2 0 0 0.680000 2.09 1.69 0.40 No \n",
"3 0 0 0.400000 1.69 1.69 0.00 No \n",
"4 0 0 0.956535 1.69 1.69 0.00 Yes \n",
"\n",
" PctDiscMM PctDiscCH ListPriceDiff STORE \n",
"0 0.000000 0.000000 0.24 1 \n",
"1 0.150754 0.000000 0.24 1 \n",
"2 0.000000 0.091398 0.23 1 \n",
"3 0.000000 0.000000 0.00 1 \n",
"4 0.000000 0.000000 0.00 0 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pycaret.datasets import get_data\n",
"data = get_data('juice')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2. Setting up Environment"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" \n",
"Setup Succesfully Completed!\n"
]
},
{
"data": {
"text/html": [
" | Description | Value |
\n",
" \n",
" 0 | \n",
" session_id | \n",
" 786 | \n",
"
\n",
" \n",
" 1 | \n",
" Target Type | \n",
" Binary | \n",
"
\n",
" \n",
" 2 | \n",
" Label Encoded | \n",
" CH: 0, MM: 1 | \n",
"
\n",
" \n",
" 3 | \n",
" Original Data | \n",
" (1070, 19) | \n",
"
\n",
" \n",
" 4 | \n",
" Missing Values | \n",
" False | \n",
"
\n",
" \n",
" 5 | \n",
" Numeric Features | \n",
" 13 | \n",
"
\n",
" \n",
" 6 | \n",
" Categorical Features | \n",
" 5 | \n",
"
\n",
" \n",
" 7 | \n",
" Ordinal Features | \n",
" False | \n",
"
\n",
" \n",
" 8 | \n",
" High Cardinality Features | \n",
" False | \n",
"
\n",
" \n",
" 9 | \n",
" High Cardinality Method | \n",
" None | \n",
"
\n",
" \n",
" 10 | \n",
" Sampled Data | \n",
" (1070, 19) | \n",
"
\n",
" \n",
" 11 | \n",
" Transformed Train Set | \n",
" (748, 16) | \n",
"
\n",
" \n",
" 12 | \n",
" Transformed Test Set | \n",
" (322, 16) | \n",
"
\n",
" \n",
" 13 | \n",
" Numeric Imputer | \n",
" mean | \n",
"
\n",
" \n",
" 14 | \n",
" Categorical Imputer | \n",
" constant | \n",
"
\n",
" \n",
" 15 | \n",
" Normalize | \n",
" False | \n",
"
\n",
" \n",
" 16 | \n",
" Normalize Method | \n",
" None | \n",
"
\n",
" \n",
" 17 | \n",
" Transformation | \n",
" False | \n",
"
\n",
" \n",
" 18 | \n",
" Transformation Method | \n",
" None | \n",
"
\n",
" \n",
" 19 | \n",
" PCA | \n",
" False | \n",
"
\n",
" \n",
" 20 | \n",
" PCA Method | \n",
" None | \n",
"
\n",
" \n",
" 21 | \n",
" PCA Components | \n",
" None | \n",
"
\n",
" \n",
" 22 | \n",
" Ignore Low Variance | \n",
" False | \n",
"
\n",
" \n",
" 23 | \n",
" Combine Rare Levels | \n",
" False | \n",
"
\n",
" \n",
" 24 | \n",
" Rare Level Threshold | \n",
" None | \n",
"
\n",
" \n",
" 25 | \n",
" Numeric Binning | \n",
" False | \n",
"
\n",
" \n",
" 26 | \n",
" Remove Outliers | \n",
" False | \n",
"
\n",
" \n",
" 27 | \n",
" Outliers Threshold | \n",
" None | \n",
"
\n",
" \n",
" 28 | \n",
" Remove Multicollinearity | \n",
" False | \n",
"
\n",
" \n",
" 29 | \n",
" Multicollinearity Threshold | \n",
" None | \n",
"
\n",
" \n",
" 30 | \n",
" Clustering | \n",
" False | \n",
"
\n",
" \n",
" 31 | \n",
" Clustering Iteration | \n",
" None | \n",
"
\n",
" \n",
" 32 | \n",
" Polynomial Features | \n",
" False | \n",
"
\n",
" \n",
" 33 | \n",
" Polynomial Degree | \n",
" None | \n",
"
\n",
" \n",
" 34 | \n",
" Trignometry Features | \n",
" False | \n",
"
\n",
" \n",
" 35 | \n",
" Polynomial Threshold | \n",
" None | \n",
"
\n",
" \n",
" 36 | \n",
" Group Features | \n",
" False | \n",
"
\n",
" \n",
" 37 | \n",
" Feature Selection | \n",
" False | \n",
"
\n",
" \n",
" 38 | \n",
" Features Selection Threshold | \n",
" None | \n",
"
\n",
" \n",
" 39 | \n",
" Feature Interaction | \n",
" False | \n",
"
\n",
" \n",
" 40 | \n",
" Feature Ratio | \n",
" False | \n",
"
\n",
" \n",
" 41 | \n",
" Interaction Threshold | \n",
" None | \n",
"
\n",
"
"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pycaret.classification import *\n",
"clf1 = setup(data, target = 'Purchase', session_id=786)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3. Compare Models"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
" | Model | Accuracy | AUC | Recall | Prec. | F1 | Kappa |
\n",
" \n",
" 0 | \n",
" Logistic Regression | \n",
" 0.8288 | \n",
" 0.8995 | \n",
" 0.7402 | \n",
" 0.8084 | \n",
" 0.7699 | \n",
" 0.6346 | \n",
"
\n",
" \n",
" 1 | \n",
" Linear Discriminant Analysis | \n",
" 0.8222 | \n",
" 0.8989 | \n",
" 0.7505 | \n",
" 0.7901 | \n",
" 0.7664 | \n",
" 0.6235 | \n",
"
\n",
" \n",
" 2 | \n",
" Ridge Classifier | \n",
" 0.8208 | \n",
" 0 | \n",
" 0.7469 | \n",
" 0.789 | \n",
" 0.7629 | \n",
" 0.6197 | \n",
"
\n",
" \n",
" 3 | \n",
" CatBoost Classifier | \n",
" 0.8022 | \n",
" 0.8876 | \n",
" 0.7572 | \n",
" 0.7518 | \n",
" 0.7501 | \n",
" 0.5872 | \n",
"
\n",
" \n",
" 4 | \n",
" Gradient Boosting Classifier | \n",
" 0.7954 | \n",
" 0.895 | \n",
" 0.7432 | \n",
" 0.7437 | \n",
" 0.7382 | \n",
" 0.5712 | \n",
"
\n",
" \n",
" 5 | \n",
" Extreme Gradient Boosting | \n",
" 0.7901 | \n",
" 0.8919 | \n",
" 0.7364 | \n",
" 0.736 | \n",
" 0.7317 | \n",
" 0.5601 | \n",
"
\n",
" \n",
" 6 | \n",
" Quadratic Discriminant Analysis | \n",
" 0.7848 | \n",
" 0.819 | \n",
" 0.7849 | \n",
" 0.705 | \n",
" 0.7392 | \n",
" 0.5576 | \n",
"
\n",
" \n",
" 7 | \n",
" Ada Boost Classifier | \n",
" 0.7834 | \n",
" 0.8767 | \n",
" 0.6984 | \n",
" 0.735 | \n",
" 0.7134 | \n",
" 0.54 | \n",
"
\n",
" \n",
" 8 | \n",
" Light Gradient Boosting Machine | \n",
" 0.7767 | \n",
" 0.8709 | \n",
" 0.7295 | \n",
" 0.7132 | \n",
" 0.7181 | \n",
" 0.534 | \n",
"
\n",
" \n",
" 9 | \n",
" Extra Trees Classifier | \n",
" 0.7755 | \n",
" 0.8356 | \n",
" 0.7094 | \n",
" 0.7174 | \n",
" 0.7112 | \n",
" 0.5281 | \n",
"
\n",
" \n",
" 10 | \n",
" Naive Bayes | \n",
" 0.7754 | \n",
" 0.844 | \n",
" 0.7778 | \n",
" 0.6927 | \n",
" 0.7306 | \n",
" 0.5397 | \n",
"
\n",
" \n",
" 11 | \n",
" Random Forest Classifier | \n",
" 0.7727 | \n",
" 0.856 | \n",
" 0.6715 | \n",
" 0.7307 | \n",
" 0.6974 | \n",
" 0.5164 | \n",
"
\n",
" \n",
" 12 | \n",
" Decision Tree Classifier | \n",
" 0.75 | \n",
" 0.7491 | \n",
" 0.7126 | \n",
" 0.6735 | \n",
" 0.689 | \n",
" 0.4812 | \n",
"
\n",
" \n",
" 13 | \n",
" K Neighbors Classifier | \n",
" 0.7434 | \n",
" 0.7871 | \n",
" 0.6064 | \n",
" 0.7009 | \n",
" 0.6471 | \n",
" 0.4477 | \n",
"
\n",
" \n",
" 14 | \n",
" SVM - Linear Kernel | \n",
" 0.5656 | \n",
" 0 | \n",
" 0.2034 | \n",
" 0.1773 | \n",
" 0.1182 | \n",
" 0.0042 | \n",
"
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"compare_models()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 4. Create Model"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Accuracy | \n",
" AUC | \n",
" Recall | \n",
" Prec. | \n",
" F1 | \n",
" Kappa | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 0.8400 | \n",
" 0.9033 | \n",
" 0.6667 | \n",
" 0.9091 | \n",
" 0.7692 | \n",
" 0.6512 | \n",
"
\n",
" \n",
" 1 | \n",
" 0.7867 | \n",
" 0.8867 | \n",
" 0.6667 | \n",
" 0.7692 | \n",
" 0.7143 | \n",
" 0.5455 | \n",
"
\n",
" \n",
" 2 | \n",
" 0.8533 | \n",
" 0.9153 | \n",
" 0.7586 | \n",
" 0.8462 | \n",
" 0.8000 | \n",
" 0.6848 | \n",
"
\n",
" \n",
" 3 | \n",
" 0.8800 | \n",
" 0.9453 | \n",
" 0.8276 | \n",
" 0.8571 | \n",
" 0.8421 | \n",
" 0.7454 | \n",
"
\n",
" \n",
" 4 | \n",
" 0.7867 | \n",
" 0.8696 | \n",
" 0.7241 | \n",
" 0.7241 | \n",
" 0.7241 | \n",
" 0.5502 | \n",
"
\n",
" \n",
" 5 | \n",
" 0.8800 | \n",
" 0.9138 | \n",
" 0.9310 | \n",
" 0.7941 | \n",
" 0.8571 | \n",
" 0.7548 | \n",
"
\n",
" \n",
" 6 | \n",
" 0.8533 | \n",
" 0.9160 | \n",
" 0.7586 | \n",
" 0.8462 | \n",
" 0.8000 | \n",
" 0.6848 | \n",
"
\n",
" \n",
" 7 | \n",
" 0.7867 | \n",
" 0.8433 | \n",
" 0.6897 | \n",
" 0.7407 | \n",
" 0.7143 | \n",
" 0.5444 | \n",
"
\n",
" \n",
" 8 | \n",
" 0.7838 | \n",
" 0.9019 | \n",
" 0.6207 | \n",
" 0.7826 | \n",
" 0.6923 | \n",
" 0.5290 | \n",
"
\n",
" \n",
" 9 | \n",
" 0.8378 | \n",
" 0.8996 | \n",
" 0.7586 | \n",
" 0.8148 | \n",
" 0.7857 | \n",
" 0.6555 | \n",
"
\n",
" \n",
" Mean | \n",
" 0.8288 | \n",
" 0.8995 | \n",
" 0.7402 | \n",
" 0.8084 | \n",
" 0.7699 | \n",
" 0.6346 | \n",
"
\n",
" \n",
" SD | \n",
" 0.0374 | \n",
" 0.0266 | \n",
" 0.0854 | \n",
" 0.0543 | \n",
" 0.0540 | \n",
" 0.0817 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Accuracy AUC Recall Prec. F1 Kappa\n",
"0 0.8400 0.9033 0.6667 0.9091 0.7692 0.6512\n",
"1 0.7867 0.8867 0.6667 0.7692 0.7143 0.5455\n",
"2 0.8533 0.9153 0.7586 0.8462 0.8000 0.6848\n",
"3 0.8800 0.9453 0.8276 0.8571 0.8421 0.7454\n",
"4 0.7867 0.8696 0.7241 0.7241 0.7241 0.5502\n",
"5 0.8800 0.9138 0.9310 0.7941 0.8571 0.7548\n",
"6 0.8533 0.9160 0.7586 0.8462 0.8000 0.6848\n",
"7 0.7867 0.8433 0.6897 0.7407 0.7143 0.5444\n",
"8 0.7838 0.9019 0.6207 0.7826 0.6923 0.5290\n",
"9 0.8378 0.8996 0.7586 0.8148 0.7857 0.6555\n",
"Mean 0.8288 0.8995 0.7402 0.8084 0.7699 0.6346\n",
"SD 0.0374 0.0266 0.0854 0.0543 0.0540 0.0817"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lr = create_model('lr')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Accuracy | \n",
" AUC | \n",
" Recall | \n",
" Prec. | \n",
" F1 | \n",
" Kappa | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 0.7467 | \n",
" 0.7333 | \n",
" 0.6667 | \n",
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" 0.4693 | \n",
"
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" \n",
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"
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" 2 | \n",
" 0.8000 | \n",
" 0.8186 | \n",
" 0.8276 | \n",
" 0.7059 | \n",
" 0.7619 | \n",
" 0.5914 | \n",
"
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" \n",
" 3 | \n",
" 0.8267 | \n",
" 0.8332 | \n",
" 0.8621 | \n",
" 0.7353 | \n",
" 0.7937 | \n",
" 0.6458 | \n",
"
\n",
" \n",
" 4 | \n",
" 0.7067 | \n",
" 0.7339 | \n",
" 0.7931 | \n",
" 0.5897 | \n",
" 0.6765 | \n",
" 0.4186 | \n",
"
\n",
" \n",
" 5 | \n",
" 0.8000 | \n",
" 0.8167 | \n",
" 0.8276 | \n",
" 0.7059 | \n",
" 0.7619 | \n",
" 0.5914 | \n",
"
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" \n",
" 6 | \n",
" 0.6133 | \n",
" 0.6132 | \n",
" 0.5517 | \n",
" 0.5000 | \n",
" 0.5246 | \n",
" 0.2001 | \n",
"
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" \n",
" 7 | \n",
" 0.6933 | \n",
" 0.6799 | \n",
" 0.6207 | \n",
" 0.6000 | \n",
" 0.6102 | \n",
" 0.3575 | \n",
"
\n",
" \n",
" 8 | \n",
" 0.7703 | \n",
" 0.7506 | \n",
" 0.6207 | \n",
" 0.7500 | \n",
" 0.6792 | \n",
" 0.5028 | \n",
"
\n",
" \n",
" 9 | \n",
" 0.7568 | \n",
" 0.7448 | \n",
" 0.6897 | \n",
" 0.6897 | \n",
" 0.6897 | \n",
" 0.4897 | \n",
"
\n",
" \n",
" Mean | \n",
" 0.7500 | \n",
" 0.7491 | \n",
" 0.7126 | \n",
" 0.6735 | \n",
" 0.6890 | \n",
" 0.4812 | \n",
"
\n",
" \n",
" SD | \n",
" 0.0604 | \n",
" 0.0637 | \n",
" 0.1014 | \n",
" 0.0800 | \n",
" 0.0747 | \n",
" 0.1243 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Accuracy AUC Recall Prec. F1 Kappa\n",
"0 0.7467 0.7333 0.6667 0.6897 0.6780 0.4693\n",
"1 0.7867 0.7667 0.6667 0.7692 0.7143 0.5455\n",
"2 0.8000 0.8186 0.8276 0.7059 0.7619 0.5914\n",
"3 0.8267 0.8332 0.8621 0.7353 0.7937 0.6458\n",
"4 0.7067 0.7339 0.7931 0.5897 0.6765 0.4186\n",
"5 0.8000 0.8167 0.8276 0.7059 0.7619 0.5914\n",
"6 0.6133 0.6132 0.5517 0.5000 0.5246 0.2001\n",
"7 0.6933 0.6799 0.6207 0.6000 0.6102 0.3575\n",
"8 0.7703 0.7506 0.6207 0.7500 0.6792 0.5028\n",
"9 0.7568 0.7448 0.6897 0.6897 0.6897 0.4897\n",
"Mean 0.7500 0.7491 0.7126 0.6735 0.6890 0.4812\n",
"SD 0.0604 0.0637 0.1014 0.0800 0.0747 0.1243"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dt = create_model('dt')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 5. Tune Model"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
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"
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" 0.8800 | \n",
" 0.9344 | \n",
" 0.9655 | \n",
" 0.7778 | \n",
" 0.8615 | \n",
" 0.7578 | \n",
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" 4 | \n",
" 0.7733 | \n",
" 0.8598 | \n",
" 0.7586 | \n",
" 0.6875 | \n",
" 0.7213 | \n",
" 0.5311 | \n",
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" 5 | \n",
" 0.8533 | \n",
" 0.9123 | \n",
" 0.8966 | \n",
" 0.7647 | \n",
" 0.8254 | \n",
" 0.7003 | \n",
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" 6 | \n",
" 0.6933 | \n",
" 0.8133 | \n",
" 0.6207 | \n",
" 0.6000 | \n",
" 0.6102 | \n",
" 0.3575 | \n",
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" 7 | \n",
" 0.7600 | \n",
" 0.8175 | \n",
" 0.6552 | \n",
" 0.7037 | \n",
" 0.6786 | \n",
" 0.4875 | \n",
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" 8 | \n",
" 0.7973 | \n",
" 0.8636 | \n",
" 0.6207 | \n",
" 0.8182 | \n",
" 0.7059 | \n",
" 0.5556 | \n",
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" 9 | \n",
" 0.7703 | \n",
" 0.8011 | \n",
" 0.7586 | \n",
" 0.6875 | \n",
" 0.7213 | \n",
" 0.5267 | \n",
"
\n",
" \n",
" Mean | \n",
" 0.8034 | \n",
" 0.8666 | \n",
" 0.7434 | \n",
" 0.7570 | \n",
" 0.7450 | \n",
" 0.5858 | \n",
"
\n",
" \n",
" SD | \n",
" 0.0526 | \n",
" 0.0425 | \n",
" 0.1083 | \n",
" 0.0808 | \n",
" 0.0698 | \n",
" 0.1113 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Accuracy AUC Recall Prec. F1 Kappa\n",
"0 0.8267 0.8715 0.6667 0.8696 0.7547 0.6243\n",
"1 0.8400 0.8959 0.7333 0.8462 0.7857 0.6591\n",
"2 0.8400 0.8962 0.7586 0.8148 0.7857 0.6583\n",
"3 0.8800 0.9344 0.9655 0.7778 0.8615 0.7578\n",
"4 0.7733 0.8598 0.7586 0.6875 0.7213 0.5311\n",
"5 0.8533 0.9123 0.8966 0.7647 0.8254 0.7003\n",
"6 0.6933 0.8133 0.6207 0.6000 0.6102 0.3575\n",
"7 0.7600 0.8175 0.6552 0.7037 0.6786 0.4875\n",
"8 0.7973 0.8636 0.6207 0.8182 0.7059 0.5556\n",
"9 0.7703 0.8011 0.7586 0.6875 0.7213 0.5267\n",
"Mean 0.8034 0.8666 0.7434 0.7570 0.7450 0.5858\n",
"SD 0.0526 0.0425 0.1083 0.0808 0.0698 0.1113"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tuned_dt = tune_model('dt')"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"DecisionTreeClassifier(ccp_alpha=0.0, class_weight=None, criterion='gini',\n",
" max_depth=8, max_features=14, max_leaf_nodes=None,\n",
" min_impurity_decrease=0.0, min_impurity_split=None,\n",
" min_samples_leaf=6, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, presort='deprecated',\n",
" random_state=786, splitter='best')\n"
]
}
],
"source": [
"print(tuned_dt)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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" Kappa | \n",
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" 0.9363 | \n",
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" 0.7451 | \n",
" 0.6175 | \n",
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" 4 | \n",
" 0.7467 | \n",
" 0.7834 | \n",
" 0.6207 | \n",
" 0.6923 | \n",
" 0.6545 | \n",
" 0.4555 | \n",
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" 5 | \n",
" 0.7867 | \n",
" 0.8666 | \n",
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" 0.7037 | \n",
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" 0.5385 | \n",
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" 7 | \n",
" 0.7333 | \n",
" 0.8096 | \n",
" 0.4828 | \n",
" 0.7368 | \n",
" 0.5833 | \n",
" 0.3995 | \n",
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" \n",
" 8 | \n",
" 0.7568 | \n",
" 0.8467 | \n",
" 0.4483 | \n",
" 0.8667 | \n",
" 0.5909 | \n",
" 0.4417 | \n",
"
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" 9 | \n",
" 0.7973 | \n",
" 0.8567 | \n",
" 0.5862 | \n",
" 0.8500 | \n",
" 0.6939 | \n",
" 0.5499 | \n",
"
\n",
" \n",
" Mean | \n",
" 0.7701 | \n",
" 0.8519 | \n",
" 0.5690 | \n",
" 0.8022 | \n",
" 0.6561 | \n",
" 0.4920 | \n",
"
\n",
" \n",
" SD | \n",
" 0.0340 | \n",
" 0.0468 | \n",
" 0.0878 | \n",
" 0.0985 | \n",
" 0.0577 | \n",
" 0.0734 | \n",
"
\n",
" \n",
"
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"
"
],
"text/plain": [
" Accuracy AUC Recall Prec. F1 Kappa\n",
"0 0.7600 0.8522 0.4000 1.0000 0.5714 0.4444\n",
"1 0.7067 0.7837 0.6000 0.6429 0.6207 0.3820\n",
"2 0.8000 0.9010 0.5862 0.8500 0.6939 0.5527\n",
"3 0.8267 0.9363 0.6552 0.8636 0.7451 0.6175\n",
"4 0.7467 0.7834 0.6207 0.6923 0.6545 0.4555\n",
"5 0.7867 0.8666 0.6552 0.7600 0.7037 0.5385\n",
"6 0.7867 0.8831 0.6552 0.7600 0.7037 0.5385\n",
"7 0.7333 0.8096 0.4828 0.7368 0.5833 0.3995\n",
"8 0.7568 0.8467 0.4483 0.8667 0.5909 0.4417\n",
"9 0.7973 0.8567 0.5862 0.8500 0.6939 0.5499\n",
"Mean 0.7701 0.8519 0.5690 0.8022 0.6561 0.4920\n",
"SD 0.0340 0.0468 0.0878 0.0985 0.0577 0.0734"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tuned_nb = tune_model('nb', optimize = 'AUC')"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"GaussianNB(priors=None, var_smoothing=0.001)\n"
]
}
],
"source": [
"print(tuned_nb)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 6. Ensemble Model"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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" 0.4134 | \n",
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" 8 | \n",
" 0.8108 | \n",
" 0.8935 | \n",
" 0.7241 | \n",
" 0.7778 | \n",
" 0.7500 | \n",
" 0.5981 | \n",
"
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" \n",
" 9 | \n",
" 0.7432 | \n",
" 0.8452 | \n",
" 0.6207 | \n",
" 0.6923 | \n",
" 0.6545 | \n",
" 0.4512 | \n",
"
\n",
" \n",
" Mean | \n",
" 0.7741 | \n",
" 0.8507 | \n",
" 0.6987 | \n",
" 0.7179 | \n",
" 0.7063 | \n",
" 0.5232 | \n",
"
\n",
" \n",
" SD | \n",
" 0.0515 | \n",
" 0.0475 | \n",
" 0.0835 | \n",
" 0.0718 | \n",
" 0.0676 | \n",
" 0.1089 | \n",
"
\n",
" \n",
"
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"
"
],
"text/plain": [
" Accuracy AUC Recall Prec. F1 Kappa\n",
"0 0.8133 0.8674 0.7333 0.7857 0.7586 0.6067\n",
"1 0.7867 0.8752 0.6333 0.7917 0.7037 0.5402\n",
"2 0.8000 0.8958 0.6897 0.7692 0.7273 0.5701\n",
"3 0.8533 0.9022 0.8621 0.7812 0.8197 0.6966\n",
"4 0.7200 0.7732 0.6552 0.6333 0.6441 0.4134\n",
"5 0.8133 0.8804 0.8276 0.7273 0.7742 0.6162\n",
"6 0.6933 0.7792 0.6207 0.6000 0.6102 0.3575\n",
"7 0.7067 0.7946 0.6207 0.6207 0.6207 0.3816\n",
"8 0.8108 0.8935 0.7241 0.7778 0.7500 0.5981\n",
"9 0.7432 0.8452 0.6207 0.6923 0.6545 0.4512\n",
"Mean 0.7741 0.8507 0.6987 0.7179 0.7063 0.5232\n",
"SD 0.0515 0.0475 0.0835 0.0718 0.0676 0.1089"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bagged_dt = ensemble_model(dt)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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" 0.6207 | \n",
" 0.6667 | \n",
" 0.6429 | \n",
" 0.4259 | \n",
"
\n",
" \n",
" Mean | \n",
" 0.7688 | \n",
" 0.8300 | \n",
" 0.7297 | \n",
" 0.6999 | \n",
" 0.7115 | \n",
" 0.5195 | \n",
"
\n",
" \n",
" SD | \n",
" 0.0688 | \n",
" 0.0668 | \n",
" 0.0961 | \n",
" 0.0932 | \n",
" 0.0820 | \n",
" 0.1398 | \n",
"
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"
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"
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],
"text/plain": [
" Accuracy AUC Recall Prec. F1 Kappa\n",
"0 0.7867 0.8648 0.7000 0.7500 0.7241 0.5506\n",
"1 0.7867 0.8474 0.7000 0.7500 0.7241 0.5506\n",
"2 0.8000 0.8486 0.8276 0.7059 0.7619 0.5914\n",
"3 0.8933 0.9374 0.9310 0.8182 0.8710 0.7807\n",
"4 0.7067 0.7950 0.7931 0.5897 0.6765 0.4186\n",
"5 0.8000 0.8426 0.7586 0.7333 0.7458 0.5810\n",
"6 0.6533 0.7106 0.6207 0.5455 0.5806 0.2873\n",
"7 0.6933 0.7646 0.6207 0.6000 0.6102 0.3575\n",
"8 0.8378 0.9184 0.7241 0.8400 0.7778 0.6512\n",
"9 0.7297 0.7705 0.6207 0.6667 0.6429 0.4259\n",
"Mean 0.7688 0.8300 0.7297 0.6999 0.7115 0.5195\n",
"SD 0.0688 0.0668 0.0961 0.0932 0.0820 0.1398"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"boosted_dt = ensemble_model(dt, method = 'Boosting')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 7. Blend Models"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"lr = create_model('lr', verbose=False)\n",
"lda = create_model('lda', verbose=False)\n",
"gbc = create_model('gbc', verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Accuracy | \n",
" AUC | \n",
" Recall | \n",
" Prec. | \n",
" F1 | \n",
" Kappa | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 0.8267 | \n",
" 0.9122 | \n",
" 0.6333 | \n",
" 0.9048 | \n",
" 0.7451 | \n",
" 0.6199 | \n",
"
\n",
" \n",
" 1 | \n",
" 0.8000 | \n",
" 0.9074 | \n",
" 0.7000 | \n",
" 0.7778 | \n",
" 0.7368 | \n",
" 0.5763 | \n",
"
\n",
" \n",
" 2 | \n",
" 0.8533 | \n",
" 0.9295 | \n",
" 0.7586 | \n",
" 0.8462 | \n",
" 0.8000 | \n",
" 0.6848 | \n",
"
\n",
" \n",
" 3 | \n",
" 0.8933 | \n",
" 0.9633 | \n",
" 0.8966 | \n",
" 0.8387 | \n",
" 0.8667 | \n",
" 0.7779 | \n",
"
\n",
" \n",
" 4 | \n",
" 0.7600 | \n",
" 0.8643 | \n",
" 0.7586 | \n",
" 0.6667 | \n",
" 0.7097 | \n",
" 0.5066 | \n",
"
\n",
" \n",
" 5 | \n",
" 0.8800 | \n",
" 0.9190 | \n",
" 0.9310 | \n",
" 0.7941 | \n",
" 0.8571 | \n",
" 0.7548 | \n",
"
\n",
" \n",
" 6 | \n",
" 0.7600 | \n",
" 0.8973 | \n",
" 0.7586 | \n",
" 0.6667 | \n",
" 0.7097 | \n",
" 0.5066 | \n",
"
\n",
" \n",
" 7 | \n",
" 0.7600 | \n",
" 0.8381 | \n",
" 0.6897 | \n",
" 0.6897 | \n",
" 0.6897 | \n",
" 0.4940 | \n",
"
\n",
" \n",
" 8 | \n",
" 0.8108 | \n",
" 0.9134 | \n",
" 0.6552 | \n",
" 0.8261 | \n",
" 0.7308 | \n",
" 0.5879 | \n",
"
\n",
" \n",
" 9 | \n",
" 0.8243 | \n",
" 0.8904 | \n",
" 0.7586 | \n",
" 0.7857 | \n",
" 0.7719 | \n",
" 0.6291 | \n",
"
\n",
" \n",
" Mean | \n",
" 0.8168 | \n",
" 0.9035 | \n",
" 0.7540 | \n",
" 0.7796 | \n",
" 0.7617 | \n",
" 0.6138 | \n",
"
\n",
" \n",
" SD | \n",
" 0.0462 | \n",
" 0.0327 | \n",
" 0.0912 | \n",
" 0.0772 | \n",
" 0.0584 | \n",
" 0.0957 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Accuracy AUC Recall Prec. F1 Kappa\n",
"0 0.8267 0.9122 0.6333 0.9048 0.7451 0.6199\n",
"1 0.8000 0.9074 0.7000 0.7778 0.7368 0.5763\n",
"2 0.8533 0.9295 0.7586 0.8462 0.8000 0.6848\n",
"3 0.8933 0.9633 0.8966 0.8387 0.8667 0.7779\n",
"4 0.7600 0.8643 0.7586 0.6667 0.7097 0.5066\n",
"5 0.8800 0.9190 0.9310 0.7941 0.8571 0.7548\n",
"6 0.7600 0.8973 0.7586 0.6667 0.7097 0.5066\n",
"7 0.7600 0.8381 0.6897 0.6897 0.6897 0.4940\n",
"8 0.8108 0.9134 0.6552 0.8261 0.7308 0.5879\n",
"9 0.8243 0.8904 0.7586 0.7857 0.7719 0.6291\n",
"Mean 0.8168 0.9035 0.7540 0.7796 0.7617 0.6138\n",
"SD 0.0462 0.0327 0.0912 0.0772 0.0584 0.0957"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"blender = blend_models(estimator_list=[lr,lda,gbc], method = 'soft')"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n",
" intercept_scaling=1, l1_ratio=None, max_iter=100,\n",
" multi_class='auto', n_jobs=None, penalty='l2',\n",
" random_state=786, solver='lbfgs', tol=0.0001, verbose=0,\n",
" warm_start=False),\n",
" LinearDiscriminantAnalysis(n_components=None, priors=None, shrinkage=None,\n",
" solver='svd', store_covariance=False, tol=0.0001),\n",
" GradientBoostingClassifier(ccp_alpha=0.0, criterion='friedman_mse', init=None,\n",
" learning_rate=0.1, loss='deviance', max_depth=3,\n",
" max_features=None, max_leaf_nodes=None,\n",
" min_impurity_decrease=0.0, min_impurity_split=None,\n",
" min_samples_leaf=1, min_samples_split=2,\n",
" min_weight_fraction_leaf=0.0, n_estimators=100,\n",
" n_iter_no_change=None, presort='deprecated',\n",
" random_state=786, subsample=1.0, tol=0.0001,\n",
" validation_fraction=0.1, verbose=0,\n",
" warm_start=False)]"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"blender.estimators_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 8. Analyze Model"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(blender)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(blender, plot = 'confusion_matrix')"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(blender, plot = 'threshold')"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(blender, plot = 'pr')"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(tuned_dt, plot = 'vc')"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(dt, plot = 'boundary')"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(tuned_nb, plot = 'boundary')"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Su+1KQlPt+ZPQpNXjIii1qpeEplrz1+h00BQth6ZoOVIWr4Tmpq3Tt+IKz2PuNdpKy5+kplKrxwF5q6+DjTH0XUD1liLYxx2wjzsElnJloemcJaS8lFpJTEJT7fmT0KTV4xQKJS5hnU44r1wEO+lztt1rBmdIBwDkohdG00r0dQ1g0DqMbnM/b+LuNlthH6cWNiV2Uc2ZdrxYjfGQPwnNWMhfqcdMNnu86xLsk5OuJjvetxwT0NsGAOgZNaDb3I+KtYtgvTqEk+9f9KzB7jZbcfL9S/jc6pKQ8lKqVUpCU+35k9CMeXt8cnISjzzyCLZv3467774bFotF0vOUaluS0FR7/iQ0YyF/pR4zOe1x0eY7tiHAkI4RbTpqXqtHt9mK7d++BcODo2g614m3Xj2JpnNXMDI05mlNqnbblYSm2vMnoRnz9vjhw4cBAK+//jpOnz6Np59+Gi+++GK006BQKCriCwsGsHx5PfA5AChG3bHLeOP/HcVd31jnKUADXGfb+186ijseWEcsVwolkkR90v7CF76ADRs2AACuXr2KzMzMwE+YQqm2JQlNtedPQpPmHzlNOavHxTAuzMOyqnzP/5dVlWDPM2/zJmzAVYh2vf9MSHnNZJzT4UTjOW+3cLrpS9mKAl6zF7k01RIrXjTjormKTqfDww8/jPfffx+//OUvJT1HqU0vSGiqPX8SmrGQP6CM5iq+SG0uIWfjHa1Gh7RMg2Ah2pzMlJDymsm4xnMWPP9xIW9JGgBgyIqd6MSyqmLZNdUSK140o91chVgh2jPPPIN3330Xu3btwujoKKk0KBSKkhiyghvs4d3EGu7c8cA6/E9NHa8Q7X9qzkXfGhe7Dk+hRICon2kfOHAAfX19+MY3voFZs2aBYRhotcELVOLFaoyH/Elo0vwjpymbPZ5fDqbrEliBSdq0tBDA9PPdmvd8/1bsf+korvePYE5mCu75/q0h5yX3uGhrKjVWvGjGvD1+66234pFHHsHdd98Np9OJRx99FImJiUGfp1TbkoSm2vMnoRkL+QOxbY9rdDokL1whOEaXcBnek7a3ptiZNQnbVSpKtmfVbFWT0Iz53uPJycn4xS9+EW1ZCoWiYiYmGdidDPRaDhopm3fLjGOSwXVbIjKTJ4joUyhuVNMRLV6sxnjIn4QmzT9ymtHoPf7EEVfDlMc3XYZxtj3qtuVPj5rAgMEDKx3Im+3gPyi2CU6UclNqrHjRjHl7PFyUaluS0FR7/sHGsU4n0HUJCVotxn1bWuaXe3qTh6Kp9mMWD/Z4sDGu/bula8ppW4rt8lW2ogA70QnAtfmNRqMDO/XBW7aiICq5KTVWvGjGvD1OoQSl6xIYAPaUDP7exUNW1y5hRcsJJUYhya6N7ciL5pagEtAl6HjLuuJt+07/derTlK0ogDZJH+WMYh/VTNrxYjXGQ/6Sxk0to/GGAwRtR0Xmr+BYcmtGwx53nWVPm9DxYLuS0Aw1VvB16iWya8oxTs2xVLNhiFJ7QpPQVHv+oYyTK5baj1m89B4XG+M6y56+lhwPPa1JaIYVK8A6dXrM5I+lmkmbQqFQKJR4h9rjKtRUe/6hjJMrltqPmZLzj4Y9Ho6m2m1XEppqz5+EJq0eF0GpVb0kNNWev6RxISyjUWT+EYgFxHf1uHfRk3eVNiC8OYfaq5JJaKo9fxKatHpcANZuBxhahRg35JeD67qEpJEBwSVflPgk3M05KBEmjHXqlPBRxaSNk3/FaMU2QBs8XbVbjbGcv3v9NQCMAmC9H/Raf63R6YCi5XAygMbv0yC83NR6zCIRS27NqNrjYqsKptZJh5OXUq1SEpqhxvJdp+5N2YoCeswiEEsdkzaAhKvNcMxfEnRcvFilqsx/av010rLAAdNrsIesSD5/EHlznOjVFcFWUMWL5T3Z+5FfjuRZibF7zLzGAPFtj4eK2m1XEpqhxvJdpx4NTTnGKTlWMNQxaSfOIp0BRS4EzpQqrr+N6vsXwGjKRLe5HwcO7UVdwX3TA7wne6cT6G1z3W8bAj76M0az54PlGGDhCqCowq9jGoVCocQKqvl0c/he2xRB7VZjPOTvjcFyCtXbXBM2ABhNmajeAjQfOo2xwqrpgVOTPddxHkxqxvR1zcU3us7ah6zgGk8CuiTBjmlqP2ZKzp9E9bgU1G67ktBUe/4kNGlzFRESJOy5DcRPow25YpHSdJPj7PRM2G6MpkzkODrEY4k1c0gyiOokgAPbcV745pz+Q1HqMYv35ioehqzgBnt4N7GiJ7U37SChqfb8SWhGO5ZqzrQpsUmvrgjd5n7exN1t7kdvQpGsOqxl2mLnMWQF9/5LYNNzAADOVV8CtHSlghuheoLWuh4MzHIILrOKJN5FT0JLviiUeEAdk3ZuMRy26FtwSrU3VZ2/z/KQkdQCHNh3CNV3lnpd0+6AreA+aGS0Sh2Tk+KVx/mLweQvBoas0B59CSWF6byCOCHi5j3v8v+y84f2LN4yq2jZ4/yiJwbwX2jEQ+22KwlNtedPQpNWjwuhS0SSqQzjEpb/xHT1dQRiRVVzav01hqxI8tp2s1a3Go01NuRNNqA3oQi2qSI0Xiz3ZD884H+2LIEErRai+0OlZoBJz3UVxO0sEy+Ik/o6QxgTSiwg+tXjI0DQZVYkqsfjoSqZhKba8yehSavHBdDkl0LjYAGZloJQyOBefw0AOr0WGq/3cwxAG1YLPzG/HFztW0Cv2XVLzRBu5jBuCzu3QAVxgc64KRQKJZqoYtKmxDcanQ5s5e2ua6uZueAufQyMXJ9+fPac6SVfYXZMcxXELeXd5yqIa0Ab6KRNoVCUAZ20KarA+ywdC27kPZasl9iQI0C7xWgVxFEoFMpMUM2Sr5go6lFgrHjRdOQtBgeAG7KCO3UIXPMn4LqawQ0PAIb0qYK4JnSb+wHAqyBO+CybxHtO7PdMZJnVxCQDu5OBeUAHu5MJeOO4mR0ztxY79a0rWMGOY9KVF8v53+97n5TiH3c87xyEoEVV8adJC9FEUFxRFUFNtedPQjM5KRGjU2fqbM4ioP5dV0c1AGirAwegFjloO6BHppNfEKeE/IkVonkVD/ryQvdt0Lypk+x0SBknltcTR0oAAI9vugzjbHvQop6fHjVBp9Hjn1d0IG+2nXf/v6zs5t0npUDoicPFuD5uwOjEpCcHIWhRVfxp0kI0CiXCaJKSgJu2Cj42odeijRY8etDodNAXLwXDiI1gkZvqxJWh4KadlHHBxoim4cPuje3QavR+H5K7N7ZLjMBHr+WQm2rHlSGN5BwolEigmklbqbYrCU21509Ck+Yfvuauje2iZ5Yugq+Zlj5OWqxo25auyT7214arPX8SmrSNqQhKbS9JQlPt+ZPQjIX8lXrM1NwSkmpGLla8aMZ0G9OJiQk8+uij6O7uhsPhwEMPPYRNmzZFMwVKHGKwnIZxshPd2kK65joKOB1OXDjTgc7mXlh7ppfmMYwGWTmpKFici2WriqLaApVCiRWi+ldz6NAhzJkzBz/72c8wODiIbdu2SZ60Y8VqVFqsWNessOxF9ZYiGE1L0G224tC+F1G74KGIaio9ltyavpZe4zkLfnkIYHJWw6DpRS56MfCZExmzdfi72YCRZuD7OovgPsxKtS3jRVPt+ZPQjGl7/LbbbsO//du/ef6vlbhzF6Bc25KEptrzj5amwXJqasJ2dznLwpY7y1BW/3zENCMZS6m/Z4KWniENqyaO4UfbE/DoIyux88ESLMkZw4/uz8TKjO7QYoU5Tu22KwlNtedPQjPasaI6aRsMBqSkpGBkZATf/e538b3vfS+a8pQ4Q3jbzyyYjIkwWE4Tyio+KB87hS13LYXR5OoTbzRlonJDKfq6BrDtq+UwN/UQzpBCUSdRL0Tr6enBvffei61bt+LLX/6y5OfFi9UYD/lHS9PV5Yy/vrjb3A9TWS5yHB0R0YxkLKX+nvlaeu2NV1FcPFtwn/SezmswmrJgGxauRleqbRkvmmrPn4RmTNvj/f39uP/++/GDH/wAd955Z0jPVaptSUJT7flLGcc6ndBZLoJtqwf7cQ3Yv/2/6dvJ/WBPHXQ95nSKxrIVVOHQvkZel7PaI03Izs8QbU+q1GOmJnt8bMQBU2mu57i76Tb3I7dwLrrNVhhSEyXFkqoZ6Vjxoqn2/EloxnT1+G9+8xt89tln+PWvf41f//rXAIDf/e53SEpKCise63S6NpHwwqnVgp2cBPLLXf2qKeqk6xLsAJiMbHCj18HklfhvyTlkRfL5g8hPnxStDK9d8BBsLz8PkzERprJcVG4o9ezXTYkMyamJyM7PQO2RJgDufdKtqD3SjMoNi1Hz+gWsv6WIdJoUiiphOI6T0hWBCHa7HQ0NDdh6sBV9oxN+PX/ZhpNgUgyCH+ZcRyOw5iuCE7eGQcD+wZEYp9RYStVkO86DmdrH2ftnbypb/y+23LUERlOWp1e42P7XKVdOI9veMdWeVHzZl1KPmWaqDReJ37PHN11GXirfzuZ3SOM3HXE6nPjr745izZeWoa9rEObGHrQ3XoVhdjISk7SoWFeKpZXCS76crAY6DSuYTyBNYeRs+hIvmmrPn4SmvLG+tuoxNDQ0YOnSpUhM9HekVHMqKtiT+Ox/A1u+7fdhzgFAktl1Fu7eGSpYLKmaYY5Taiwlawai9Nxz2LJjpeT9r9nim9E2EXyNtlKPGane46MTk9j94QLe/b69t317KusSdPjHf70Fdcda0NN5DaayXNQX3w/LVO/ujz8F8Lawplh/8mCaQqi9pzUJTbXnT0KT9h6XC0Ma6QwoEcJgOYXi+UmChU50/2vlULF2EbDW9XPNB2RzoVBiBdW0MZVaySpnLCVXEssVS8maYuQ4O0UKnayiBWZqP2Zqqh6PhGaoW3OGkpdSK4lJaKo9fxKaMV09PhOkVrLKGUvJlcRyxVKypnsfZwwP8PZ07nGkewqdpivDrTi0r1H0erXaj5maqscjofnEkRJ8681y9AwnStZUe1UyCU21509CM6arxyPCkNX/0r7A3r8UlZFfjsSeZow3nQY4Dlx/l+ehkYw81Lx+Htu2L0df1wBOvX8R5m47Gm/YSTBhCoVCiTyqmbQFbbNEA7jGk0B6jv81bMPs0GJFeJxSYylVU6PTwVmwBMhd7LesDwDOYj2aamzIm3SgL3ElRm4IfB1b7cdMyflHwx4PR1PttisJTbXnT0Iz2rFUM2kLVrve9i3gnV8Dn1qm73OvU1n5v4BS/8px0VgRHqfUWIrX5CC4AgAAxgC0YTWS9VpAqfnHQPV4MKRWz0ZbU+1VySQ01Z4/CU1aPR4CmjlzgO2P8u4TWzJCoVDUjV7Dggk+jEKJaVQzaceL1RgP+ZPQpPlHTjMa9rhew2L3xjbkzXZI1lS77UpCU+35k9Ck1eMiKLWql4Sm2vMnoRkL+Sv1mEWjenzXxnbPhC1VU+1VySQ01Z4/Cc2Y3pqTQqFQKBRK+Ej6itDS0oJPPvkETqcTVVVVKCsri3RefsSL1Ug6f6FNWABgFAArYRMWpb5O+p5HTjMa9rjT4cSF0+1e90z3cS5bUSDYx1zttisJTbXnT0JTcdXjBw4cwK9+9Sts2rQJHMfhX//1X/Gtb30r5K01Z4pSq3pJaEY0/65LAOsEbJ/xxrC2IaDXDLby9oATt1JfZyy854B81eMJ4DDacUH4wakvZ3JXjyeAw2jb3wFrp/+D8+YDBcuRPCtRUNPc0Ik/nCsU3BxoJzqxrKo47LyUWklMQlPt+ZPQVFz1+J49e/DGG28gPT0dAPDNb34T9957b9QnbblgnU44r1x0bd/pSxxu5+l3PHrNwNgwGNNy4d3TRDZhiTbejoBnO1Y3cfg+hgprueSqxBZ5jw2aMRgnO0W3PA1bU6sBFt/or9lrBj69AqdxgfjWugI7vbnOtTtdm5NYBpBbkOHqeU6hxChBP9lYlvVM2ACQkZEBhon+wgvZbD/3Ps0SJiSl2puyWqW+xyMtC1xXs/gHZJBuc1F7nV3Tk44dmF4KJPLFQsn2Mgl73DE5KfoeL2l7BWmzWBhmz0Jlvh1NlibRLU+BEOzxiQkw6dnCv1fm8zA4ryFv5Dp6xlIwAkj+cnjpbAfWfHE5KtYuQre5Hwf3HMfWHUK5dEkAACAASURBVGtUb7uS0FR7/iQ0FWePL168GE8++aTnzHrfvn0oLS2VkKK8yGpvSpyQlGyVyrr9pc/x4GbQBjaqrzOELxZy5KXXsGAY1+YVSTqduu1xrRZ2gftX9e9HVmEKVm9eAqMpE91mKwb7LyGt6yTGCl1n3L5f2aXYfnoth4yRDgymZws+vtL4GcoWZmB8zIGqWTa0t7yPi53DsBevFtR0Y+i7gDXbl/O2aAVKUXesBavWL1G17UpCU+35k9BUnD3+k5/8BC+88AIeffRRcByHqqoq/PjHPw4amEKJNXZtbIdxth27PijB9fHYs98NllNYWJKKsopCr0kwC6s3l2P4jRPYsUW8NXAwdm9sx393XcN+gc8sQ98F5MwFSlcUTH1R6Mdg/wi+nNmGkWsN2LpjDS6cdvg/EUAuemE0reTdZzRlov5Ea9i5UihKJugnz2uvvYavfOUr+MEPfhCNfESJxpaPkdRUaiy5IfE65dKTe5xSYwFT9rgPOc5O2McnBPYpz0Jikp53n9PhROM5d/vg6UpuQLyam+P8tvYBAGQNXcTq7RW8s+XVm5fgvTfO4Na7KlF3rAX6BJ3g5kA9owZ0m/t5OXeb+5FbOFf1tisJTbXnT0JTcfa40+nEj3/8Y1y7dg1r1qzBxo0bsWrVKuiiXOgjuyUcZU2lxhIlzN3TSLxOKcRK9fjImF1wSR4AIL9ctPralwStFnaf97jHkY6qWQ6BSdCK0hUFvOc3nDHjl58UCxayfdfZjhs+v9BPk2EYwd+rRD0j8EUhE4lJehhNWfjozb/jq9/cgJ3oBOCqPNdodGBZJ7AkAWcONwEo9Zyl1x5pwtYda1Rvu5LQVHv+JDQVZ48/+OCDePDBBzEyMoI333wTDz/8MGw2G86ePRs0uGKh23ny8T0ehnRwbXWuSvIcEwAgSavFOADklxNIUIQov48Tkwxso5MYvXwRTkeS/wqEaFStdwWu+sbCFZLCaArKwZkv8I7XSFIOGtvMGOy/yLum/fGHrdjyz5+HfeokQK/lcKXNCqRVCdYUXGk77TdpOyYZGPKM4D6pBz4bAEpuAFIzAABXMB/dZiuMpunX5P6i0G3ux/jYBCY1eixaWQK9loOGAbQavecDcFlVMeqOtaD+RCtyC+di6441ko4BhaJGgn7C/O1vf8OZM2dQW1sLrVaLL37xi7jpppuikRsP2ezB/HIwXZfACn24+0xI4WoKNSgZBcBOaQT6YI+6VSp2PHJMvFydDKARdjcjllvAMfnlrklqyAoNpo6t12ORyOuJIyVgO86DgR5Iy+AXR0Vz9UGAAjzJ9jgYaASqs89hOQyW07j0X2eQNEuPrtQbYCv4Ot55c3rM45sui8Y19F1AP3MddcdaeEuvnjhcjKsXnECyHcgqAJOa4fniMZqWhQM1b6N6m8uK7zZbUXukGZUbSnHy/YuoT1qLE2+We7SNs+1+NmLF2kXAWt8mLNJse6VapSQ01Z4/CU3F2eNPP/00Jicncd9992Hz5s0wmUySEpQbuaxGjU6H5IUrImuVTp0NcYZ0oLcNwNSk4m5Q4jMhhqopp+0q9XgozV7W6HSeCVLKzm6xsPoAgGsp1AxjBRtnK6iCraAq5B3zKix7Ub29CEbTl3hLrzyapmUY7TUDhtnghgeA4QGgvwuYlYpaQwkaX7SgNOUM5szWIz0zBU3nOvHpmAETplVImPpa5v6iJGY1Np6z4PmPhZuwbGs+jaLFOQD4E7hSrVISmmrPn4Sm4uzxo0ePor29HadOncIvfvELdHR0oKSkBM8++2zQ4PEMZ0gH2urA5JgU3aSEQpEDg+UUqrcU+iy9Wsw749bodEDl7S4Xasoah2E28OkVwDYE27zluJigh9bahBuZHpQZ0/GtO0oBNIaWjMiXqv0dC8E4FwfsokahKB1JF+BYloXT6cT4+DjGx8cxa9asSOflh5IrcQXHTZ1hi32AGMwfI49tRK+uiNdxSjH5x5gmXX0gl6bXNRKvmgLj4FkYTRt4I91FZO5Je9w5yXNIPBRXeH50MgBXWIYveG3DKYRUS5JHagaY9FxPF7VQY1Grl2oqIVbQSXvdunXIy8vDunXr8J3vfAdLliyRlKDcKLWqN+A4Q5rg+JXX30b1/Qs81a4HDu31dJxSVP4xpBkLqw+AKXs8QAFepI/Z45vaYJxtx6cl88BdNLssbgD2kWHBpVf28YmA8YQ0f7TucsAJG5BuSUpBqVYpCU21509CUzH2eE1NDbZt24YDBw4gIyMjaKBQ+Pvf/47//M//xCuvvCJrXDVgsJxC9bYFPBuxegvQfOi0bD2eKRGG5OoDrwI8oceixbJVRfi+zgJgGBqNDm2XMnDyfe+q836cfP8iPre6JGo5USjxgOik/Yc//AHbtm2TfcL+3e9+h0OHDoVssavOarQNCZ5p5zg7YTQt5d1nNGUix9GANlQpJ/8Y05Rz9QHXdQmaISu/Yn3qsYhoeo0RtJcjrOlGr2HBTH1d0SXovK4JM1iyqgAH9xxH0zkL6k+0Iik5EXq9lldBHrXtQEP8UqVUq5SEptrzJ6EZ7VgaSWoyUlBQgBdeeCHk57ntQTnGyRnLPY51OsF2nAfbcR6YZIHBXldl7JAV3GCP59bjSEe3uZ/3/G5zP3oTiojmH+uacsXS6HTQFC1H8sIV0BQt5998VgPInT/JY6bXsNi9sV3QtnZbelt3rEF6VgoAID0rxW+9tJz5i9mIZSsKsPPmTuxcUos79G+Da/4EXFezq1rdkA5usMdvApdiSUodJ2csEppqz5+EZrRjiY5obW3Fpk2b/O7nOA4Mw+DDDz8MGlyIf/iHf0BXV1dYz1U0vk0vbtoCzul0NSkxnwcy8wEAI7Yx1LzejG1Tmxy4rml3wBZgFyUKhTS7NrYjb7bQFiN83OulSeHtACxdWYLCs20AhqcerfeMK/Pp8EahqAXRSbuwsBC//e1vo5lLQBRplfqO86kUZwBwOh24ev4XnLMJn0fLoQnkOBrQm1DEm7DjwaomoUnzn4lm4K46krfmjJY9PgWjg6RlXUq1Skloqj1/EpqKqR7X6/UwGo2SkokGSq4kTtJpAze9MC33dJ/iBnvADVlhK6hAG/wLz+KhkpuEZizkD8i3NWco+bsrxsWQWj0byusMhlKrks8da8VVSz9yCzJ41/MjqanUWPGiGe3qcdFr2hUVFWIPUSgUCsWHg3uOY17+HNx+900YtI7gpZ++jbpjLaTTosQYotP67t27Iyaan5+Pv/zlLyE9R+1Wo1TCzV9V/c4JaNL8I6epVHs8mrZr7UctqNzg2mns4J7jqNxQik13VAi2c5U7N6XGihfNmK8eDxclVhL7jfOpFBeqVJVDU3CM5bxrVy53T+fhAbDDAzCYP0bp+V+h8OyvYLCcllczwuOUGouEJunq8UBIrZ6NtmY0q5L7ugZgNGXyJm/AtZyzckOp3xm3mquXqSbZWNHdFDuW8W160Wt2/WtIA3JKXBM4EJEmHKzTCTSfAVO2mtfnfOX1t1F9T+nUzkn9OPn+WfRZmjzd1ygUijzkFmSg29yPvq4BVK7nX8s2mjJRf6KVaFU9JXaQdKZ99uxZ/OlPf4LD4cCZM2cinZMgSrca3et33TdU3u7a3jI1A7ANghmygnM3fQjQuSrU/FmnE/jkTeBTC7jhAZfGkBXJ5o9Rva3Es0ex0ZSJ1ZvLUTpf43fGrXZ7Nl7yV+oxo/a4a6lb7ZEmJM1KEOzDkFs4N2K5KTVWvGgqzh7fu3cvfv7zn+Pll1+GzWbD7t278dJLL0lKUk6UaluKjfOdxHnNOAJcXw4lf9bpBGrfAoY+BbP+H8HkLwaTlgUmLQtlCWbPhO3GaMpCR3Mvsq+f9zSCYdvqwXzyJthTB8G2103f33HeFV+GYzHT16m0WCQ0qT0euma0bdetO9YgI2s2Dh+o80zc3eZ+1B5p8qskV7M9SzXJxgo6adfU1OCll17CrFmzkJ6ejn379uGvf/2rpCQpEabrkmvrz/zFMIz3YsHgUaQMW5Ay3Im0VB26zXwrvttsRdHibAwOOT2TO5ORDeeCSlcc22fT90/Fp0yj17BI0E638owl3K/N+5abap96vTLE13KeeIFuual2WfRIUbm+DP97563o6xrAW6+eRF/XgF8RGoUyE4JO6xqNBgkJCZ7/JyYmQquV9m1YTpRqW5LQ5I1Jy8JK50lsu7MURtNSdJv78d4btdh4VyVqjzQBYLw2cLiE4rJcZGRxGBTYLhSApzkMB/Cuv8fUMQtz3I/WmZGbascTh4vRZws+tSgt/0Dj3K/Nm76RJGSnjAMA7E7x19s3okN+2oToZMswrvi9w9PxxGMlYW6yQ1RPr+WgYaJvW3IcMD4xCZ3G9XqCxQrWGU7N9izVJBsr6KR944034plnnsHY2Bg++OAD/PnPf8ZNN90kKUk5UWrTCxKa3mMMfRewbft0tWqPZQC33lUJoykTRtMa1B1rwan3L4LRMrjzwfX4628/wsBnScKBe81gRZaHxdIxC3fcE0emd6xK1sdWcxXv1+ZGymsMNG66X7nri871cUPQeME0H990GcbZ9qg3vdj9YQmujxvwo3XNsjSaUXJzDzXnT0JTMc1V3Pzwhz9EYWEhFi9ejAMHDmD9+vV4+OGHgwamRIdc9PL2MHYvPXFTsXYRvvLgeiQm6tFttqLXMoCdD5agwrJXOCC1xClB8LXSxWzv3RL7lasBt72vZuueEhsEnda//vWv46WXXsL27dujkY8oarIaoxmrBznoNvd7Jmr30hPvibvb3I+k5EQcPnAO1Q+sRV/XAKq3FPnv4S2wlagc+Yfb+EWpx5+EppLy37Wx3edsk0Gw/uQz1fQl2rbl7o3tkPI6qdUbf5qKqx4fGxtDT0+PpKQiiVKrekloeo+xJeWgZn+rp1o1Oz8d7/6l1qt61YrDB+oAAOWVRTCaMtHTec21h/dok38TmOEBwaYwM8p/agc0T5FbWhY4d7Fb7Vt+leqyaEYglnchWixWj/ueQZvSnYJn0L5nm1IsPb2WE40nRdNXOx6qkkloqj1/EpqKa64yMDCAW265BXPnzkViYuKMt+akyMhUQ5ezmhvR9PtW5LL16BlOhG1Ii4HffQxTURpMZbnYWF2B2iNNnraKuYVz0W224upoCjjvyTmnBGirm74vwHpyqbBOp6vRzOIbeTugAVPnLMMDrvOXrkvA1KYq0UavYcEwwMSkuPnpfX328cPF0Gn0uDKkwcQkA04Bpqn7NeSmOnFlKHj7BaFxuzbw7WytRi/pWp0Udm9slxRPTk0KJRYJOmmTWJMtRKxajTOJpdHpPBPdWNFyXHbb0I0ncXHuOnRcbkBPTwvKluVh64416DZbUXukGZUbFuNATRvGKh7gWS3cYA+4HJNnRzJZ8g92jTw1w9XFTaBTXLSO/66N7chLteOJI8Vwsho4Wb3/mA1tyJvtAMC3Snd9UAKrLcFTUew9iYeav3vi9Y0jJZb7NThZDXReccShVu9MxjkdTjSeswiMYlC2Yj50CYE/WpX6OtX+npPQVFz1uFgHtGhv2+mudhW6PuohvxzJsxKjXj2eAA6jHRdEc9LodFGphHZP4mzOIqD+XTh06Tg7moamIz04dfYDDAyOIyM7He+/aMFo7ipg0OeyR4AWqzPKP8C18pBjhTku0JjdHy7A45suY2KSwfXxZDgm/cf5nk17V4JOsMJntqHmLxbHPQYQrx7f/eECAK7q62AVzr75z2SM3OOUGst3XOM5C57/uJDXNtjQdwG5TgvMTVex5b7PRy03pcaKF81oV48HHXH69HTLy4mJCZw9exaVlZWorq4OGjwiTF0f9f5jAeDarKPrErBwRdRTYi38nAx9F5CLXvSMGlz7bEfZ9tUkJQE3bUWiXovJiUmMAWifemyg4zyQmw7YBvmT9PAAYBtytV+lqBK9hkVuqlMBZn2ckJblueRTYdmL6u1FMJpWi+7sRaHIQdBJ++mnn+b9//r169i5c2fEEhJj3DnpuT7KzTJMb8jhZlYqMDaM0fnlgDbwy5LbHndMTnr+gKf/eFei29yPmn0ncQ7LFWW1MzodGJ8vEtxgD7ghq2yV3AbLaeQ4O3D1ug42/VzXlyrfwUE2T4nWMdNrpruchWd1eb8y6Za2/zjfIxRKLG6qqtshEMcfalvKN85gOYXqLUW8nb0A185evu1LI5GbUmPFi6bi7HFfkpOT0d3dHerTZkySTosR83kwOSZwwwOutpsCZ9sJV5vhmL8kaCxZ7XGtFnYI//Fuu3MxWg6dBldys3IahYQ4gbLj49BeeB/sJOv/4A3/4Dqz99Isbfv91HFwdWir2d+Ks7jR/8y+vwtYul5UO1r2+K6N7cib7cATX2iTXAjlbXU9vqkNxtl27PqgBFeH+ccilPzdcQAIxgLE7XH3c8PJfyZj5B6n1FiBxuU4O2E0LeXdF2xnL6W+TrW/5yQ0FWeP33PPPWCmqlo4jkNXVxfWrVsXNHDEcE/UXtaUGw7ALMspzJ9oQK+uiL8GOQoI//FmIcfRgB7cHNVcRPHdQhRAklaL8anHfGGdTuDwXjjLVoNJy5q2/pEDW1IOuPp3YcjLQY6zA726Iui1jP8Xlzs4NL/eC1v2Ml5szjYE2AaD7nwWLt71D06tFqz3tWqv9eETk4ynbeaQPRFpicLfdt0tNB2TDK7bXOM4MJ7nz7SK3DuPUGO5nxsof298x7lfGyV0enVFgr0RfHf2olDkIOik/Z3vfMfzM8MwSE9Px4IFCyKalBBSrMaV199G9X0LPL22DxzaK7h3dETscYj98VrRm1CkGHvcu+LcjZMBNGKOatclID3H1eN8+D2e9X+g5gy4OaPYtmWO56z67TfqYTR9gRfCaMpCzsRJXB7Kmc4DAFd5e8Adz2Z8zLzqH+zwMpvd9Q9Tx8G7haeGAViRY/H4psuuKvPDxegdSfKME2oBGk7+YnGkxHI/N1D+3viOc782nuZUr20hvKvTQ+3dHQg5NSNuu045ViOpBThQ8zaqt2Hqs8e1SiPQNW0127NUk2ysoJP2u+++i127dvHue/jhh/HMM88EDS4nSTqtq6hLBIPlFKq3LeCd4VVvgX/XL0TIHh+yYiTN/4+3Zl8zbAu+geQQNEfG7DOukA8l/6DjDGkw9F2YmrCnj+/iQgvKKkpgNGWi7lgLeiwDKF6Qjg/312HTHRWep3eb+9GXtgyagukvC1Hr3S3iyIRjybsrtIHY6z3u/drciL1Gd/9vN6H07g6393g4mpG0XctWFGAnOgF0Tj06D2ePNuPYW+dRsiQvaBGaku1ZNVvVJDQVY4//+7//O65cuYKGhga0trZ67nc6nRgeHg4aONqIXVfKcTSgDZG1yTUF5eDMF4AhK2qZVWj8fSty9a3omUiHbfkDwdvO+aLACnlXj/OVvPvs4w4YTVk4uOc4KjeUomLtInSb+/HOVEe2acejAzYBx4NCUSu6BB2WVRXz7ltWVUybw1Aijuik/dBDD6G7uxtPPvkkvv3tb3vu12q1KCkRt/EihcceHLK6ipjAr5HtcaQLXlfqTSgSjyVVMwgOMLyGJGNFyz1LrNwTdsiaAc4QSTSH8e1xDgBJsxLwwV/PonJDKe8M/LavrsTzL19FRkovehOKBCdsEk1w5IwVqfzF+hCMAkCUV0bI2Qd8Jpre1f2haKrddiWhqfb8SWgqpvd4fn4+qqqqcOjQISxatAjz589Hfn4+5s2bh8bGRklJykmSTusqogIAw2xwvWZwzZ94biP6eajZ1+TVc9t9hud/lu3bd9lgOY2S9j/DYDkdcFzA3GQYQyKW1HG2pBwcqLnMO75NbaNoudDNm8gB1zXsjBQN2hb8o2gxIInXKWesiOUv0KedScsCByDhanNkNGcYS2rv5XA13dX9oWqqvac1CU21509CU3G9x1944QW8/PLLcDqdmDNnDj799FMsXboUb7zxhqRE5YRXRFVc4ff4OdyAjrdqkTHWIHqG50uFZS9veZJY8VpcY5gNbngAtShB44udyJ11ET2DGpTOG0Pp8nzJDgcRwlgfThwfl8VgOY2c8Wb021ODLmeMNVxn2RQKxU3QSbumpgYfffQRnnzySTz00ENob2/Ha6+9Fo3ceEi16obyKzHIVUqKJbSu2rt4jbRVGo1YQcfll7vsWsMc4NNO2Jg0XB5PgwE92HZ3BYymTBzccxxAqaf47sChzqBfmKLyOr2Wt2kwtRWo9+sSYHTcDvaKeBGgu9o9Wu/T9JfKlZK+VMaaPf6jdWbMTXaA5cBbkhYPtisJTbXnT0JTMfa4m3nz5iElJQULFy5EU1MTNmzYQGSrzkjYfq7iNV9rNxM5jo6IaUoeN2T1bJvpu31mNO1xjU4HTdFyJOn1YHJMYBbfCGbxjcjLTfYcu6071qCvawBvvXoSL790UXBSYZ1O1xacUzed5eL0/wW25ZQjf3fumqLlSF64wvOzpmi56FKzhKvNgvY0A/CuNUfD3hf+UlnkdxlHTs1wYkXSHn/iSAm+9WY5eoYTQ9ZUu+1KQlPt+ZPQVJw9npKSggMHDmDJkiV49dVXMW/ePIyPj0tKUgiWZfHYY4+hubkZCQkJ+MlPfoLCwsKgz4vEGYRYUwS3tUvs7FigAYqH/HIihWjerVoBoHd4Me/YVaxdhO78frw3kCQcoOsSUgZakZtsw2d9VuTOYXDFPgcD8ypFt+Ukcfx9XycwbU9fHTVgbCpPTfvHKJnoCNjEZ6b5h7MiIjLHLHq7gQmN0Ws4Woimwljxoqm4ddpPPvkk3nrrLVRXV+Pw4cPYvXs3vve970lKUogPPvgADocDf/7zn1FfX4+f/vSnePHFF4M+LxItLW0FVThwaC+qt0BweVK02mj6jeMQcJMRudeZSxnnbtXqRuzYOQvvBWs+z3uuYaAVnzN04Ev3V8JoKkW3uR+1R5pw54YSvLPvQxzXbYp4/qG2pHUjZE8DkFQHEXb+U9fhQ1kRMWPNAGO826sKIWX9qdQWsbQNK1lNtedPQlMx67TdZGdnY/v27WhqasIPf/hDjI+PIzk5OWhgMc6ePYu1a10NeW+44QY0NDSEHUsO6gruQ/Oh08hxSC9eo7ioK7gPTa+/h5yJk+hLWwZbwX1IsFwEWCdg+wwAsDLxEkpvSEVZRaXfhgp9XQO47c4VuPTCCVyP8k5oUhCypxfnW1BWUSCpiU9YeLksI0k5qNl3EtvuLBX8UkmhUOKPoNe0T548ia1bt+Jb3/oWrl27hltuuQXHjx8PW3BkZAQpKSme/2u1WjhFrml6E0mr1FZQJbg8SanFY8TscQFs2ctwOfVGz7FzTE4Cts/ApGYgRe/Atq8umWrC4l870NN5DUZTFuanCve6I2aPTyFU8yD2Wtx1EOFoeo/zvg6vKVqOcwu+gWcOJeHp/2zAf7yZFHRlg5IL0ZRoNVLNyMWKF03FFaI999xzeO211zB79mxkZWXh1VdfxX/8x39ISlKIlJQU2Gw2z/9ZloUuQP9pN8TXz0ZIU7BAq60e7KmDYNvreI+5i7ZI5J+g1QYsjuONA4C0LOQmDMJoykRuQYZnfbcb94YK3WYrrgynQAgS77n363Tb07w4sxIEX4uQZS1X/raCKlwt/SewxcE3nVFyIZoSi3qoZuRixYtmtGMFnbRZlkVW1nQ7zZluFlJRUYGjR48CAOrr67FokfB+s3GDTzMNe0oGmIxs19ajts+QMt6LheP1SBnv9atg9p3wfSd3OdEUuBrbcENW/g0QXT7lLvSrWLsItUe8G99YUXukCdn56XjnjXMYmP95WXOdCd6v02VP8xv2NF1hceBQh6QmPpTIU3esBW/98RTqjrWQToVCiQpBp/WcnBwcPnwYDMPgs88+wx//+Efk5eWFLbh582acOHEC27dvB8dxeOqppyQ9T+32snsM63QCnQ3Ap+3AYB9g7QK2fFuwZelKp/t65vSuWrXMqmm9ID3Kx03SrhNLssd9WrWKjvOyl72L1bbuWIMP959FzcsncaV3HLk5Bhx9oRED8zeJTvpE7HGf13kOy9EyVfNgTSrAuOkeTEwyaHnzE2TbA9dBxMrvbDBIWY2+Pe8P7jnO26hD7bYrCU21509CU3HV448//jiefPJJ9PT0YPPmzaiqqsLjjz8uKUkhNBpNWM8nVskto+bImB2ofct1R0qG6zYrVXC8oe8Ctm3n9/Su3gY0/r4VzMIV03oBepSTqr4etw15/u9d6NfjzMGItgAozcDo1GsIZPUo5T23FVShDVVTO001YtcHJbhefDPaJgKfXatpl6+ZxCJRiVt3tNWv5z1QirpjLahYu0j2vOTOX6maas+fhKZiqsf7+vqQnZ2NuXPn4rnnngsaiCKBzgaX7e11Ziy0AtZgOY0SewP6uky8oiejKRO5+lb0RiHVcNEUlAPdl3ntQ0dSC3AZBa7r3xMDRPOjxAa9V66hYh3/Up3RlIn6E63AWkJJUShRQPRE55vf/Kbn59///vdRSSYQMWE1Wjs9Z8ZMei5Shi1YyFxGRuvfPBuWVFj24uEt4/i3x/4B2fkZUy1CXXSb+9EzkS4tr0/exsj1oeDjQslfAg4wQOXt0xu6dDVP34YHAMNs2TUV/Z7LGEupx4yE1ZhT4F8k6C5ujEReUsepXVPt+ZPQVEz1OMdNnwO++eabkpKKJDFRPe51TN2T86O7VmPngyVYknEdD28ZR/YsG8/yq9ywGHXHWlzXtPc1wZaxUFpeBWXQHv+TvPlLjKXR6YDK24EcE5Cawb9pdEB+eVzsjCZ3LKUeMxKVuKvWL/EpbnQ17HFb43LnJXWc2jXVnj8JTcW0MWWY6e783hM4ZQZc7wMg3LTD3Wxk9eYlvOtyRlMW3nj5DC6zxbBlrPYv2hLbxcqQBgx9GtnXEwDejmwqR69hwTDw7Dal13LITbXjypAGE5MMdBoO7j+XiUkGLOyE0QAAIABJREFUXJj7Url1Qonj/RwAyE114spQ0EUhksa5xyh1l62tO9ag7lgL6k+0IrdwLq8IjUKJVSR9RfCewEmhVNsyHE2xntL1J1pRsXYR77pct9mK9ox1GCuo8tginlj55eD2/ydQdpPrLNabnBJMdjUHX9MXRv7RGhetWN4T3zzDOK4OJ/Ae37Whjbef8+6N7XBN4RweP1yMf1nZ5Xl81wcluDqcFFb+uza2e9qFescRiuXO2Tc3d17BkTJOWiySVmPF2kWi17DVbruS0FR7/iQ0FVM93traik2bXD2h+/r6PD9zHAeGYfDhhx9KSlQulFJJPBPNEQAYsor2lHY3G0lKTpy6z4qafc2wLfiGsJ7TCYwNA/1dgM3n+nVhKrQajaSP71COmcFyGjlO8Y0ylPo+BRrjPVmG2vvaNYGHn5fUcb7V4945C+UVDFrVSzUjHSteNBVTPf7uu+8GfTIlRNLmgWs8iZGBXtRosrDtq0s8e1DXHmlG5YZSHDjUgWaU4vTTtbg6yMDG5ABFTuGtJOvfBbP+H4XXaTedADs8AM4p8twwmN48I/BGGUqFHR8Hzr3juUzhZt/5Ydy8oQQrVhdDm6QnlB2FQqEER/TT3Gg0RjOPoCjVdg1JM6cQsNsAQxrqsrah5ZAF2UMnMXh9AhlZyfjgdTts2bcCAC6zs5A8/jEWpl7H1fMHMVbxFV4sdnwcsDSCM6T5ixnSgXEbOJZzdVALcm1ZSv6athMCezv7b5ShxPeJdTox2nEeaDwJpmw1UMp3CP4+ZEX9H0/i+0k6LKsqkaTptrEck4x3fSHv50gei4lJBnbn9GUrvZaDhlGu7UdCU+35k9BUe/4kNBVjjysNpdquoWiOaHSuZirWLtcuTmkFGJ6VB6AN1ybgsriP/QxIy8LK5SnYtnO51+5O02e1STotRs69DebGLwmfZV9tBbqagIrNQK8ZbH55wLNtKfnnTVpgNC3h3Se0t7Mi36euS67LBEkGwb2yjUO1sCcPwtzE4IbVi0Oyup44XMy79hyR/OFvjz9xhP/lwtX4xa5Y24+EptrzJ6Gp9vxJaCrGHqdEgPxy17aV1i5w5vP+3dDGhoGcEhjKPodtd04GPqu9bgVKVwt3Q6v/H0CrB660APOMgOU8UFwxo9StCcUh7+2sKNKy/I63y+4vhNG0Ad3mfpx8/yL2v3QEW3copxc6hUKheKOaSVuJtmuomhqdDiiuAKvRifcMB5DHNgpWl7vPaoPpGQwM8kqXogc5sCXlgOs1B5y0peQ/lF/p6SMeaG9nJb9P3ggtu1u9eQmazll4S+7E8Lex3L74tGUdL41OlKqp9vxJaKo9fxKaimmuojSU2vQiLM18gR2zmj9xdQzLL/fsjuWN91ltIL2V19/GIz+4AY8+shI/2p6IVRPHsFDXCYPl9Izzryu4D88cSsJTP2vAM4eE93ZW8vvkjdBe2UZTJsZH7egyX4PdyfBurE8Zvq+NtWtDO3JTHbz7Qs3ffZ3a7vRfox2suYr7uZ/aDAHzFss/3DFyj1NqrHjRVHv+JDQV01yFEjmEGo+wmDpHG7ZiJLUAB2reRvU2eKrLDxzqFN1Nyo3BcgrV2xbwzh633LUEfV2DyM4fl6Xa2715hmqZcjPElt0lJSfi4JVFOPgmv4mN+5qxGL7XmMNhJjHcz03W86+PB8ubQqGoC9VM2kq2XWXRzC8H13UJmiErWAC1zCo0/r4VufpW9KQswZhperL1xPLphpYz2gKjaSUvrNGUhfoTl1GxdpFgtbds+UdgnKyaQ1agcDm4phMAgBEANX+0YtvdK2A0ZXmuaX86ZhBcfz4x6Tpr1TCuivHe6zpkpzgRqFmgEo6Fb5W5m74RV/5i6LUcJiYmoZvy4gL1V1Kz1Ug1IxcrXjRp9bgIiqxKllHTffbtfaY0VrQcQq07knRajCxY6bpWPTy9a9bVEYg2bQGEq73lyj8S42SLlV+OxJ5mjNuHAa89xs8CaKqxocB2HOPjE+iftwpcyc2AQKwnjpR4zlqfOFyM6+OGqDeHAULfmlPs7N33jDzQmGBn60quxFVzVTIJTbXnT0KTVo9TpGG6wbX5hrUTaP4EmFcAW3oOav5y0a9pi7sns6qqvWVEo9NBV7wcGoFJagxAu6bKcyY5f6qnuBBivcfD7TXuSzi9x32fG0+9xymUeEQ1k7YSrEalaHoq0UtuAEpuALt0E/DRK4ClEWctQFPDYeRm6ZGoY/G1h9YBgGi1N4n8SWgGGsNvCRq837Z373HfHuGh5uU9LpTe475MPze+eo9HK1a8aKo9fxKa1B4XQZG2KyFN3zGalBTg9oc8/x8D0A6XvfnMoY+R42hAb0KRaCFbPB4zMeS0ukjY40q1/SKl6XQ40XjOAqeTRVcbf1e7ogW5gJZD2YoC6BLEP+ri7ZhFK1a8aFJ7nCIrqq/2plAC0HjOguc/LgQ3PAAm1cTrfZDx5t8wP2EAZw434f4ffYlglhSKfKhm0laq7UpCU+35k9Ak0ZxEbfnXHWvB30+2IzFJh9IVBahYuzjimrLEck/UXi1qb778c9z24AoYTVXoNvfjlefewz3fv1U+zRmMUbKm2vMnoUmbq4ig5KYd0dZUe/4kNKXGkrNRgtz5SxkXbv4H9xxHe2MPbr2rEv/03S8gOz8dB/ccDyvWTMbJESv93Gu47c4VvH4Ft2xbgf0vHY2YZiRikdBUe/4kNGlzFQqFElVqP2qBYXYyyioKvCY619mrlJauSmO+rg9G0+d49xlNWbjef0ZwfO1Hjbhq6UduQYbqXisl/lDNmbZSbVcSmmrPn4RmLNjjUsaFk39f1wDs4w6Btq5Z6Om8FhHNSMa6Mpkj0AbYijmZKX5jD+45jnn5c3D73TchOz8joLtArV6qqYRYqpm0lWq7ktBUe/4kNKk9Lj4utyADSbMSBCc6d2MeuTVljTVkdTUZGrKCG+zBQOEGvLOvzvN6us1W/E/NOdzxwDpejNqPWlC5oZRno1duKEXdsZbo5j/DcUqNFS+a1B6nUChRpWLtIhzccxwn37+I1Zu9G/O0BN2mdHxkHB/UnALHsX6Pbb6jAkkpwmvY5aJsRQF2onNqyVfr9APZKXj3z5/A6WQxN3u2YBFaX9cAKtfz7XCjKRP1J1qBtRFNm0IJGyKT9vvvv4933nkHzz77rOTnKNV2JaGp9vxJaEbaHtdrWDhZfhczNeW/dcca1B1rwXtvnEFikh6lKwqmOukFbq7y/v461FyrEtxmFvtP48v33hxSbqHmr0vQYVlVMQBgxecX+IwK3BwmtyAjYNvfcHKjVm/8aca8Pf6Tn/wEzz77LFjW/5t5IJRqu5LQVHv+JDQjaY/rNSx2b2xHbiq/P7da7HE3FWsXYccPv4h/+u4XULF2keRY7qVW3je/SVxibtG0GivWLkLtkSYvG70ftUeaRIvRqNVLNZUQK+qTdkVFBR577LFoy1IoEWPXxnbk0e0vVcnWHWvwadd1vPXqSfR1DXj69FMoSiVi9vgbb7yBvXv38u576qmn8KUvfQmnT58OOZ5SbVcSmmrPn4RmLFSPS4GE7ScVJVqNALBi7UKsWOtrrUdWU832LNUkGytik/Zdd92Fu+66S7Z4Su1pTUJT7fmT0KS9x0MfJzWWVNTcEzpeNNWePwlN2nucQqGoiyGrf7nXkBUIvlqMQqGEiGombaXariQ01Z4/CU1qj4c+TsqYzXdUAPs/gV+V9typxyKgSSJWvGiqPX8SmjFjjweiqqoKVVWh7TylVNuVhKba8yehSe3x0MdJeo0pSaj+53WKtRrVbLuS0FR7/iQ0o22Pq6YjGoVCoVAo8Q61x1Woqfb8SWhGw17Wazkw4DwNVtSWfyRjkdBUe/4kNNWePwnNmG+uEi5KbdpBQlPt+ZPQjEbvcd8GK2prrhLJWCQ01Z4/CU21509Ck/Yep1AoYUO3maRQYhvVTNpKtV1JaKo9fxKa8VA9fnDPcVRuKMWKtQvQbe7Hq8+/h/LKIgBAj2WAN5FT25JqRjpWvGhSe1wEpdquJDTVnj8JzUja4xOTDFgOcEzyNwyJpj3eePKS3zaTG6sr0FhnQXZ+ut9+0dS2pJqRjhUvmjHfe5xCiTWeOFKCnuFEPHG4GD3DiURyGOrh71YFuM6uN2z5HIwm1+YdwfaLplAoykc1k7ZSbVcSmmrPn4RmJO1xvYYFI7AFpNz5Bxo3JzfLs1uVm86WHs+E7cZoykRP5zVqW1LNiMeKF01qj4ugVNuVhKba8yehGUl73LXLlyNsTTns8dLVZX7bTF6/NuI3kbv3i6a2JdWMdKx40aTV4xRFwDqdQNclz/+dWi3mdBxFQaoNlslcXF95N8HsKEJs3bEG545dxjuvf4KixTl44Ee3Y99vP8LqzeUwmrI8+0XT7ScpFPWimklbqbYrCc2o5N91yVVSleayVyuvvY7bvlMBoykT3eZ+vLPv5/h4wfcimpta7PGZasqZv3ubybpjLXjr1ZMoLstFX9cg6k9cRm7hXM+E7Zu/0+FE4zmLTzQGAIeyFQXQJYh/VKjZaqSakYsVL5px0Xs8HJTa05qEZtTyT8sCk56L9HOv4bYdFbzK5NvuvAGNL/8Jgzd8LWK50d7j/DGA9N7jFWsXAWu9HlgrPM5N4zkLnv+40PMlzcOQFTvRiWVVxUE1g6HmntDxoqn2/EloRrv3uGombQo5CpguGE2f491nNGVhPs7gmoCNzk5OTSz55dDo6K+Yapj6kuaNq7yuk0Q2FApFANV8oirVdiWhGe38Bz6bRLeZv6So22zF4GdOj43OGdKB3jaMsywwcBUYtwGNJ8Gm5wDz5gMaHW8SV+oxU7s9LrfVGG1NpcaKF021509Ck1aPi6DUqmQSmtHOf6DoFny4v86rMtmKD/efw0DRLQCmJuy2OsA2BGg0QGY+kL/YdZs3H7B95ro+7nVGrtRjNpNKUPeGIaFqKrX3uFTUXIlLNSMXK140afU4RTkMWcEBGEktwPD1Bhw+eA4O+wQSEnUY1mXAVlAFdJwHetvA5Jg810MNfReQi170jBowYgOQmuF6bMhK9OVEmt0b27HrgxJcHU4inQqFQolRVDNpq9leVnIs0XH55eC6Lnkm2jpmFWZda0WufhA9+iUYM63mj5+6Hlph2Yvq7UUwmlai29yPmr9cxFn4LzFS6jETs6fqjrXw+nfHpD0+9SXN976IaqokVrxoqj1/Epq0elwEpVYlh6rpvf7ZMNCKvIRBXHWkw5axEMgvR/KsREXkr9HpgKLlnv8n67UYnViO9gBxDJZTqN5SxKsy3/bVcjT9vhWjPlXJaqoed2/EUbF2EbrN/Ti45zjueGCjoqvHg+E7rmxFAXaiE95FZxqNDizrRNmKgohoqilWvGiqPX8SmrR6nAAGy2lkWs8gKVGPrtk3uGzfSDFVuLWSO4Pq+xfAaCpFt7kfh/78EQabPsFA+g0YNVZGTj8S2IYAADnOThhNS3kPGU1ZyNVfRhuJvGSg9qMWv404gFLUftSIFWsXkE1ORnQJOr9lXVqNXtKHUSTwdTYoFIoL1RSiRcpqrLDsxbpZZ/HAA8vww11r8PCWMVRY9kZU0zDei+ptC3gTwZZ/XIbbNszFztttHv2Z6Mk9TnRMfrnnx15dkUDbTCt6RhL8bFa12ON9XQN+G3EYTZm42hncNo5W73Hv3udKtf1C0Ty45ziy8zM8O5P95rFD2PPM37D/paMhx5Irr3jRVHv+JDRp9bgIkagkNlhOYXG+Bqs3L/GaQLNQvaUQBstpWTRZpxNsx3noLBfBdpwHes3IHb8sMBFkoafzGoymTFRvKYLBcjosvUiNExuj0emAHBMwZMVIagEO1FzmVZnXvHoWNi7VNaV4TfBqqR7PLcgQ7N+dV+jThGQGmjOtHvfufa7Uqlip4+qOtvKcjdojTfjyfTdjx8NfRNUt5Xjlufckx1J7VTIJTbXnT0KTVo9HkRxnJ+zjDsEJNMfRgB7cPHORKTvcnpLhaQs60Po3gXXPro0cXPqZyHE0oA3y2/S+PcUBr4Yo4TZDyS8HV/sWMDyA2tRVaPx9K3L1reiZSIdt/leBlEFovK6PK42JSQZ2p2sf7CF7ItISp7/tLlm9GH/7wzEApZ4WrrVHmnjXtL2f772f9kzyCCWOez9vTfjSiqH3yjVUrHNddhC6NHHLthXY/9JR3PX1TSTTpFCIoZpJOxJWaa+uCFWzWgQbh/QmFMmn6dNparZ2FIcP1GFjtbuXtxW1R5o9faG7zf3oTSgKXy/QOJ+e4gBgB8AMWV3V4iKTayBNjU4HNsfkiTualuW5hs0IVSSLxNNrWDBeE888wziuDieI6gKuCSsce9xb65ljJs/9eakOf83MUqS2/DfqT7R6+ne7bSy9luM9f2Jy+gWE+j799KiJ9/oTtKzn53mGcQAQPB7PHDNh14Y25M12KNb2kzoupyDd8/fY1zWAyvX869lGUxau959RbP5q11R7/iQ0afW4CJGoJLYVVKHJ0oTB/osei7zbbMWBQ52wFdyHZJk0OacTXMd5AMBK50lse2ApjKYsfLi/Du+8/gmGh0cx35SFumMtyM5P9+jP5DUGHCfQrjK57wJynRb0WsYEC/GCak4tEUsaGcD45KTfY2Lx0uv/hPnaXlyZzMHO/7MKxtl2zxgphVC7PijB9XFDyNXjuza287SCa5ZM3dzjXJWguzfy6+m912mH+j6J5eTOC4Bqq2Kljlu1fgn2v3QYQKnn0oTvF+o5mSmKzV/tmmrPn4QmrR6PMnUF98FgOY1L/3UGSUnu6nHxCTMsetvApGbAMN6Lbdun7b5Nd1Tgw/1n0dXeD1NpLrLz03Hk0N/RjJvk1Q/C9Nrq1eg29+PAob2oC/EYuJeI6fRaaCRMVABw8+Wf47Z/XgGjaTm6zf147zcH4bBPPzclax7+//bOPSzKMv//72eGgeGgIqKC0ASRiEquIobtRurX4+YRlSRbTLPWar+77uri6UrXrcTM9Vft9lNr8zK21rU0QTavX2VbWebp64GSrwqpHEQOgSjBqDCn3x/DDDPwDMwwz8z93MPndV1elzPcc7/fMxw+z/15PvfnDgrQIyquP4Ynx4qeNNXddLRtKtqW9ulxW1RKExQC0GIQcEsrPk6q9LiYLwBdevMFZi952Fw9XnYD3x2/ginpY6wX1F/knkPmiimsLRIEMwSTySSWvZQFzc3NKCwsxOyDP6Dmtg5GJ5wqBHQ5zpkxUo0zln4PNNZDiB6C+29+jXUrzVuizn5TjAunS21S5OZ7pcnjE7DrnfMoS/5vj/gyln4PwWalHVx+AqtnNXe4v74lX2234pb6M+t7bg/+sCSqwyrqtbevon7wL82NPhrrIfQKg6m6BIiIdXhf3Fvf8xcnXkZU72as/zwO1U1qr/6cWQKyZVz7WwmW9LjlOM2ucWaclHN1X/PArq9xq64JoeEhmLv0Ebfm8vw43jW969+1rX1yfZ/SzvX4mI0oLCxEYmIiAgICOozw6kq7sbERWVlZaGpqgk6nw5o1azBq1CinXst1c5XWfcyWLVGnv7qE4N5B1oANtO3/ramoh1qt8pp/8b3VHQvhpP7MNKofRU8Oi1afw82+kdYf7eC71Yj2u4Lmqh9Qp+hm6t4D/lk0hwHamqs4Tu/LM+3njmZboHZ/Lk+P413Tm/7FmhZZ6no87U3Oc3WFV7d87d69G2PHjsX777+PzZs348UXX/SmPBts7udqNSnYs/sMkscnOKhaD0fJxSpU9B7pWU8NtTDdrILpZhWqWvqKbmnqrBBOCioNg0T3dFcYI6yPR+uPY02GP1Zvmoqlz43BI4FnutzDThCE/BHbGZA8PgFnvylm7Ez+eDVoL168GBkZGQAAg8EguvR3BHe9u1ux7mNuRdfHnBIW3/9bi5LrzV12ZHO7pzgAU0MtTA21aFJHIG//JZu91XXIyy/t4EHqz+xOX43oyWEtYeauXME155E2fwiiYs1V7lGx4Xho8nAk3KPosIed3ffchM7SXd5qrmKLXKtiWWjy7p+Fprf8O2paVFV2wyveeJ7LY+nxffv2ISfHflWUnZ2NESNGoLa2FllZWVi3bp3T87mTamy/N9lfqWyrcO5kb7KkKdXWrU+WlW1SajwO7j6Ktv2/tcjffxFlY/4I2MwVXH4SEfpSVPvFWAOplD3FAeCSahS25B/DwJbzqPpJBW3YKPPpXbZzxT6Au04UWTnrbZChHItWTrG7X7lo5RRUbDWn5SNRjajY0XaviYoNR8G3P2Bgw3lc1o+2ft9YpcfXPFKEnaeiHZ7qxVPvcU/PxUKTd/8sNL3lX3xnQFuvCk97k/NcXeGxoJ2eno709PQOzxcVFWHFihVYtWoVHnzwQU/J29Nub3IzAOj15jOgq0tgtFkJA+h+kxFHRA9DQFUR7raubHP3H0fa/ATMXvIw/nPgLPLeP42i3g9De/9zCLJ52aiyd5E2OxZRsYnmE7P2v4Uzfg+Zm6FEDpHUo1aTgsulgRDCAKHd4R5oqIWx/AJwz3DJ9Gr978P1kjq7+5XXS+pQpe9rTtvfDhb9pVYH+aNaFwyUFQJxHr6NQBCER+i4aDHX+nR2T5sw49VCtMuXL2P58uV4/fXXkZCQ4NJr3U41ttubbCr93u4MaCs2TUakSm8q/Pyg1wyHojWTeg4jUJx/EhEthaj2j4c2MbPDXMHlJ1oDts2JWfMTULS3Glp1hDlz0EWXsW75F9nDbQLQ4uRZ2M5qNkQnIy8/B3NmwZppyN17Hk3fNwJD/dEUNhi5B88ibbYJUbH9cb2kDscP/y8AIKGvDqdryqxB2xvpcdv+3iqlCQOCtdbHntLszlxyTfux0OTdPwtNb/q3bO2zbVrkLW88z+XVoL1t2za0tLRg06ZNAICQkBDs2LHDqddKnd4EYBegLGnoqpa+aFJHSK7ZfoxWkyLaptQyzlFVd5zuM1wBrB7d9eXsOH+lEi1dzuSa5lnNkyiyXrzEQJvwW6DkLQjRQyD0jcQ5jEDpu3vwQMhZGE1G/OyhOGul6cXXLuKOC5rufha2/b03TLjqVOMXSo+z1eTdPwtNb/tPSo2Hcpxzp8nJ9X36THpcDGcDtBhSFxLZklSe03oOtCUNfRznIN1K2xVfti1WxbpBPTIhBunRAVaPUmp2Rkv7LmcSaTq6eLEQ1luJJ1dOtXsuKjYckb2arWd7syhEc+aKmFbabDV5989Ck3f/LDTplC8HSH2ylYXg8hOtAds2DT1EslO+XPVlGafVpCDXrqrb3J88KTXezqOUmp3hr/TiyWJObEmramzbeeDtE8MA566IvXXKl6u+nB1Hpy/1PE3e/bPQpFO+PEX7gysa64E+/RGhL0NNhT8+23caAWo/JIzSICk1XrpTvtzgjN9DKNpbjTjdZ3hkQozdPR/LSWSSnwQmdsBHQy3gZNB2mz4DYGqstz60LdyzFKzk7b8EbWAkP1ecBMEpd5vu4vCBsx2eFwQFJqWNhDpEfOcE4Tm4Cdpu702uuGAOPjCnF0zaBqChFn0Ndbh6UcCU9GRrQdT+t4+g2n+0LPaGa9URuAIgPdp+T7vlJDJJNdt9Tra0DBri2lzdHadQWO9pWziHESja+xkifvoUVYZwaIUIYMA9LmlSetz1cZS27Hma7cccPnAWuTdSxAt2D5zEzEWdL2x64mfm6bm4CdpS7k0OUinRFD0MQd8fxOCRvTE0SWOTHu+PhyYPw9f5Mmhp2RpExVabuQdLob13saSaYnu4LQSpHM9luw/ebg9863sQ25rWqTeR1b5WHYHLJSXA0JHWeZ2ay4UxroxzpqiECtHYavLun4Wm6BgHO0osdNY/vMd+Zm7M1RXcBG2pUfj5YVCo3kE70f7W9Hj7xix2SL2fW8SjJYjabhOrD4zDzS4Ctlex2QffDLS1YOnijG5RRk6FqeBToLoEKqUCOkPbmdKY8CQUakrHEYRcaN8//P3XPsOw5BgnDv8gugs3QdsTqcZqvxikBBaLVmlX+8fg9t1m4PQhcypW+5P9JNoGc2OW5Om468SRiFL4t1RaK5w8VMar6VlHV+MO9nc7mk+hVgNjZ5tfL8C6t90tb06OcWUcpcflr8m7fxaazs4FAD9W3sK0BQ/aFfFOmJOES+fKrYd/0Gcm/Vzc1PJ4opJbq0nBpWtGHD/8v3ZV2nn5ZdBqUuBfWWR+gfYnhOhuYLCqHCGqFvM91yEPmpuzVFzwevWy1JXQUmo6C++fGVWPy1+Td/8sNJ2dCzAHD7H+4XdvN1sP/6DPTPq5uFlpe4qzmicRXH4SF975H6jVKlT0Hgmt5sm2AcF9MDrgAtIyhyMqNqH1QI3PcFbzZKcrSYLgEdv7k2PGSde2tqdwt+kuPtkvvhVz8twkPqutHe0oEeCwf7jlnABCergJ2p5MNWo1KaIna7UYDAhuLG8N2G0poDmzgKL8k2jqpem2pjvjvHlKmatzOQvvn5kvpsf3vvkFUqc/YL0/+X83fISAQBX6hAeLnmmtb9Hj4rlymKsY7P+sDx2lgZ+//Z8XOaYapR73yf5TDqutYVNtLdf32X7M5LlJwAGRi5B+AibP/S98uu80xPqHW4K3XL9PPM/FTdBmUcntr1RiUFCTaAoooqUQl6GRXJPViVVuazq6GvekJqO5AN+rHt+1+RCmZaRYf9ZPf3UJM5/8ufWP8Xv/5zNkrphiE6iB0qJqhwHqDyjDAyn3uexNrlW9zo4TBMFhfcelc2W4XlIHP5UCy15Ik+X7bD9GHaIW3dZlaeNr6R/+yd5TiBkSYQ3YluAt1++TnOfqCm6CNisq74SIpoC62iPdo7DZ360W2fJFyJvTR4oRGh7SFrCPFCN5fIJddum/0kbhwK6vMTgxGq8duxfo0x+miiII0eIBqrTIfnU2dJQGSrXKK+9HjqTW7cGU3022XgTt2vJvLM6axtqWJCSlxiMmbiOuAAAULklEQVQpNR5nvynGofePO3X4B9F9uAnaLFKNLQYDjAMTkbvnG6QtHNnWkSv3MppCH7WuJHlP9bqrabs1TS/Tim9KjzseV1NRj9iESOvFaU1FPZLH2W/ZiYrtj1t1/2N+0LqSNHWSSTlQOhiCvrUhj3XlHecR/96Yy9lxJlPHH/7+R9/AlP9OtrsImjx/NN7J/hhPr5vhtqZcPrOk1Hgg1bua3R3H81zcBG0mqdLYB3C75DzOqFNx6bVTiOzVjKrGAGgDIwFjDaBUANHDuE/19gRNSo87HhepCcPA6DCc/uoSgAREasJEt0GGhod0Oa+VXmHWFbg5jJVxnbZ0dpwgdNz/GR1yW7QXhF6inzPePzPeNSk9LiMUfn5QtK4g79yXZD1Vipt9cgThBEmp8dYmGTUV9Si5WIVz31627sG9XlKLL3LPIXPFFJw/ebXrCXs67eo7Khr8RS+C/FRe6udP+BTcBG05p0p5T/V6U9N49y5Q8CmaxL44cqpdxzPv+je5pOlL6XEA1oKiqrIbiB0aiaTUeBzY9TVu1TUhNDwEmSumiE/kQgGiHFONUo+blDYKpvbV1km9cXjfaUy2Od/g8P4zXabGndXk/TPjXZPS4w6Qc6qU91SvVzULPjU3pRE7gKDgUwQPikCEvhTVfjEwxf3ca/5fnHgFO09F49bd4B6XHrfQ/p5k+jMTxeeyBOrgvjBVXzGfmKdtQHD1eQyKCUOlcSC0I2Y71LStQG9P4ug4CE78VZJr2jW4d4jDQzTeyf4Yep0BfiolN9XjpEnpcYJwuCVm9N0jSJsViqjYRFwvqUP+v3fj9D2LPG5HpTDCiU60BMxV4H9AGYAylBZV4wAGA73CMDqwCGnPptoUa+bgTOij5hc11KKpqQVvvXwQJpMRN2sbcTFgDBDcx/z1iDgIfn5AQy1WKsowfIyG2fvzJM6srAmiK7gJ2nJM9bLS5N2/GME155GWMcKuwnbWTOBi/knRxjeuanY2Zv2EqxjUu9npuQDfS487O8bP389u/7WgH4KQxjLrCXRAawOiNBPu+frfiE0wX5wd/7QYJ3pNN2dYItsdKqO9CSFmBEwAjEbxFbhU/j09jndN3v2z0KTe4w6Qcx9q3vtos9BsTySqHTSxKZVEk3qPuz7O2bki9GWi1dFKpQIPpNyHB1Lug6BUWDMstv/a3yZRKKT7/Hnvac1Ck3f/LDS9PRc3QZvwbaoQYT20xQI1seGDar8Yke9dLSLv7cfIEUH4LtwEbTmneik97uK4hlqYblbZ/dOqI5C793ub09bqcDC/tMvUuLOavDdXUVw9hkFFexBcLn4YhSu+nB3n1FwNtWjqpUFe7mW7k/KO/r/z3TpT2WiU7vPnPe3KQpN3/yw0qXrcAbKshGakybX/kVNhKvgUqtoy6AxGuy+dGfkMivO/Q0RLIar9Y2CKewqQm/9WvFk9nlSegzmzYqwFenn5OQB+0W1fzo7raoylKE2huA6jcQDOfF2Erw99j+BeAZj3dMcDRhzSWA/TzSqgodal9LivVyWz0OTdPwtNqh4nfBqFWg2MnY0AlRIGkUCl1aTgCsyr6yBvm5MhweUnWgO2/Slzl45fRNTU+7p4tWexFKVZDo9of0BIBxzt6dY2wFRRhLkxP2DYqF+g/YlhBEG0wU3Qlm2ql4Em7/5ZaPKaHjcXeSXaPRcVG44TR64A6Bgk5Zr2e/y58cCOT3Cz7Cf77V4AEJcEQXsTMUMinNqj7awm72lXFpq8+2ehSelxB8gy1ctIk3f/LDR5So+rFEbojQJMEKxFXu1PmQuN7C82lWzTfiFhIXh2/Rw0373T2lil0earBQBaTwKTqf+eosm7fxaaPp0ev337NlauXImGhgYEBgZi69atCAsL86YFgpA96ydcxc5T0ahsVEOrSUFefg7mzEJb45L8UsxZ8gsAzaytukz7fd4EQbiGV6vHP/zwQwwfPhx79uzB9OnTsX37dqdfK+dUKe+p3p6g2dkYnUFAs16AyWQ7zmT3T2cQYGy91dpiEFDRoDC/RmRs9/23adnOe1azCNs+DsAr2wqxJT8AZzWOu8TJNe3HQpN3/yw0effPQtOn0+OLFy+GwWD+A1VZWYnw8PAuXtGGnFOlvKd6e4JmZ2NUShMC/EwQhLZxL068gqje4itZf6UJ0X2MMBhNeHnSFbuvrf88DpWN6m75t9VsP69SEQYgrDW9dsHhXHJN+7HQ5N0/C03e/bPQ9Jn0+L59+5CTk2P3XHZ2NkaMGIFFixahuLgYu3fv9pQ8QXBNi8G88rfQ0ByAyF78pcMJgpAWjwXt9PR0pKeni37tH//4B65cuYJly5bh888/d2o+uaZdWWjy7p+FJm/V4y99eZ91xa5SGBHVuwXrJ3R9lrVc034sNHn3z0KTd/8sNH269/hbb72FvLw8AEBQUBCUSuf7VMu5jzb1Hpe/Jq+9x1UKIzZMuIqNE8tl2QdZzpq8+2ehybt/Fprensur97TnzZuH1atX46OPPoLBYEB2drY35QmCO9pOIFOxtkIQhAzwatAODw/Hrl27uvVaOadKeU/19gRN3tLjZtpuavOeQmShybt/Fpq8+2eh6dPpcXeQc6qU91RvT9DkMT1uW02uVPjJMlUnZ03e/bPQ5N0/C01vz8VN0CaInoRKaYLA2gRBELKDmzamck6V8p7q7QmarjdX6RxPp8fXPFICkwlo1ptDd02T+Vd1YIhZV6U0QSES1eWa9mOhybt/Fpq8+2eh6dPNVdxBrk07WGjy7p+FZmdjXvoqzvr/IBX73uOA/ZYviy8A1nEvTrws2vxFrk0jWGjy7p+FJu/+WWh6u7kKpccJgiAIghO4WWnLNe3KQpN3/yw0+awed30uuab9WGjy7p+FJu/+WWhS9bgD5FxJzHsldE/Q5LF6vP0YZ8bJtSqWhSbv/llo8u6fhaZPN1chCDmiUhghtBZ1RfbS41qDotuV2yqlCf5Ko91cXSGmaTuPZQwA63xUWU4QPRNugracU6W8p3p7gmZnY9ZPuGpT1CXAtqmJIxylsTbY9Qd3bi6xcRs69Bm3hOnO55Nr2o+FJu/+WWjy7p+FJqXHHSDnVCnvqd6eoCll2tvZcVLPJcdUnZw1effPQpN3/yw0qbkKQRAEQRCiUHqcQ03e/bPQ5L36mvcUIgtN3v2z0OTdPwtNSo87QK5pVxaavPtnoUnp8e5pSjVXdzTPflOMQ/88gbPfFLs9l7fG8a7Ju38WmpQeJwiix3Nw91EMjA7D9CfGYmB0GA7uPsraEkHIAm6CtlzTriw0effPQtMX0uNyTNV5QvP0kWIkj09AVGw4ACAqNhzJ4xPsVtxy9s+zJu/+WWhSetwBck27djVOpTDCX2lEbF89BCe2/8jNv69oUnq8e5pSzeWKZk1FvTVgW4iKDUdV2Q2X55LKV0/R5N0/C01qruJjWPYAKxUqrPtMY3cIBEEQHYnUhOF6SZ1d4L5eUofIe/sxdEUQ8oCblbZc066dj2tbWTubQpGXf9/RpPR49zSlmssVzaTUeJz+6hKul9QBMAfs019dQlJqvMtzSeWrp2jy7p+FJqXHHSDXtGtn416ceMXaacvZFIqc/MtdU6UwQoCJ0uMe1JRqLlc1Zy95GDUV9Tj0/nHUVNRj9pKHuz2XN8fxrsm7fxaalB73EcwBhfAk6ydcxc5T0bh1l36MfZGk1HgglbULgpAX3Py1k2va1dG49ROuYpC1nzWlx6XWtKyypZjLFp7TZqTZcczZb4pRVV6PSE2YXXrdk5pSzcVCk3f/LDQpPe4AnlK9YqtsSo9Lq2m+KGqRZC5b5Jw2k2OqTs6azu71lqt/Fpq8+2ehSc1VfID2q2xCWujWA9EV5r3eQzrd600QPCLr9LjJZE5/Dgj0Q6CfEXf0XV9jBPopuhznzBh3xgUqAqES7Fd2SqgwINAfJqPKbU1P+5e75oqfl2JgLyWAIAwI9Ida4eeWf9vvlxIqKARdl/6dGSf1XAC8rinVXN7WvHvLhJjxGrvnYu7ToOS7OqiEII9oSj0XC03e/bPQlHqulhZzBtES/9ojmBx9RQY0NjaiuJiujAmCIIieRXx8PHr16tXheVkHbaPRCK1WC5VKBUGghChBEATh25hMJuh0OgQHB0Oh6JgdlHXQJgiCIAiiDSpEIwiCIAhOoKBNEARBEJxAQZsgCIIgOIGCNkEQBEFwAgVtF2hsbMSzzz6LX/3qV1iwYAHOnTvH2pIkHD58GCtXrmRto9sYjUZs2LABCxYsQGZmJsrKylhbcpvvvvsOmZmZrG24jU6nQ1ZWFhYuXIj58+fjP//5D2tLbmEwGLB27VpkZGTgiSeeQHl5OWtLknDjxg2MGzcOV65cYW3FbebMmYPMzExkZmZi7dq1rO1Ijqybq8iN3bt3Y+zYsVi8eDGuXr2KlStXIjc3l7Utt3j55Zdx9OhRDB06lLWVbvP555+jpaUFH3zwAQoKCvDKK69gx44drG11m7///e/Iz89HYGAgaytuk5+fj9DQUGzduhU3b95EWloaJk6cyNpWt/nyyy8BAHv37sXJkyexefNmrn/WAPOF1YYNG6BWq1lbcZvmZnMnyvfee4+xE89BK20XWLx4MTIyMgCYr7gDAgIYO3KfpKQkbNy4kbUNtzhz5gxSU83HQY0cORKFhYWMHbmHRqPB3/72N9Y2JGHatGlYvny59bFS6VwPeLkyadIkvPTSSwCAyspKhIeHM3bkPlu2bEFGRgYGDBjA2orbXLp0CXfu3MFTTz2FRYsWoaCggLUlyaGVtgP27duHnJwcu+eys7MxYsQI1NbWIisrC+vWrWPkznUcvZ9HH30UJ0+eZORKGpqamhASEmJ9rFQqodfr4efH54/31KlTUVFRwdqGJAQHBwMwf49+97vf4fe//z1jR+7j5+eH1atX4/Dhw/jrX//K2o5bHDhwAGFhYUhNTcXbb7/N2o7bqNVqLF26FOnp6SgtLcUzzzyDTz75hNu/BWL4zjuRmPT0dKSnp3d4vqioCCtWrMCqVavw4IMPMnDWPRy9H18gJCQEWq3W+thoNPrULynvVFVV4Te/+Q0WLlyImTNnsrYjCVu2bMEf//hHPPbYYzh06BCCgoK6fpEM+eijjyAIAo4fP46LFy9i9erV2LFjB/r378/aWreIjY3FvffeC0EQEBsbi9DQUNTW1iIyMpK1Ncmgv2wucPnyZSxfvhyvv/46EhISWNshWklKSsKXX36JRx99FAUFBYiPFz83mfA+dXV1eOqpp7BhwwY89NBDrO24TV5eHmpqarBs2TIEBgZCEASuU/7//Oc/rf/PzMzExo0buQ3YALB//34UFxdj48aNqKmpQVNTE9fvRwwK2i6wbds2tLS0YNOmTQDMKzzei1B8gcmTJ+Pbb79FRkYGTCYTsrOzWVsiWtm5cyd++uknbN++Hdu3bwdgLrTjtehpypQpWLt2LZ544gno9XqsW7fOJ2pbfIX58+dj7dq1ePzxxyEIArKzs30u60a9xwmCIAiCE6h6nCAIgiA4gYI2QRAEQXACBW2CIAiC4AQK2gRBEATBCRS0CYIgCIITfKsWniB8jIqKCkybNg1xcXF2z+/cudPlhhHXrl3Djh07PLIlTqvV4i9/+QuOHj2KwMBAhISE4Le//a1P7M0mCDlBQZsgZM6AAQNw8OBBt+eprKzEtWvXJHBkj8lkwrPPPouhQ4fi0KFD8Pf3x4ULF/DrX/8a27ZtQ0pKiuSaBNFTofQ4QXBKXV0dnn/+ecydOxfz5s3DsWPHAAA1NTVYunQpHnvsMYwfPx5vvPEGAPOJboWFhfjzn/+MkydP2h39uWbNGhw4cMC6sn/88cexZMkSGAwGbN68GWlpaZg1axbefffdDj5OnTqFyspKrF27Fv7+/gCAYcOG4bnnnrM2VMnMzMSrr76KBQsWYPLkyThy5Ein74EgCHFopU0QMufHH3/E7NmzrY9nzpyJp59+Gps2bcK8efMwceJE/Pjjj1i4cCHy8vLw8ccfY8aMGUhLS0NjYyPGjRuHzMxMvPDCC3jzzTfxpz/9qdNDYkpKSvDOO+8gOjoa//rXvwAAubm5aGlpwdKlS5GYmIjk5GTr+PPnzyMxMRGCINjNM2bMGGzbts36WKfT4YMPPsAXX3yBN954A+PGjXP4HmwPgCEIog0K2gQhcxylx48dO4arV69aT5rS6/W4du0ali5dihMnTmDXrl344YcfoNPpcOfOHaf1+vXrh+joaACwHiRx4sQJAMDt27dRVFRkF7QFQYDBYOgwj06nswvkluNTBw8ejFu3bnX6Hng+350gPAkFbYLgFKPRiJycHISGhgIwr8j79euHV155BdeuXcOMGTMwadIkHDt2DO27FQuCYPecTqez/t+2L7jBYEBWVhamTJkCAKivr7cet2nhZz/7Gd577z3odDqoVCrr8wUFBUhMTLQ+tvTotg3kjt4DQRDi0D1tguCUsWPHYs+ePQDMJ9DNnDkTd+7cwbfffoulS5fil7/8JUpKSlBTUwOj0Wg9ZxwA+vbti2vXrqG5uRm3bt3CmTNnHGp8+OGH0Ol00Gq1WLhwIQoKCuzGJCcn4/7770d2drY1+BcWFmLHjh14/vnnu/UeCIIQh1baBMEpL7zwAjZs2GA9o/rVV19FSEgIli1bhlWrVkGtViMiIgKJiYmoqKjA0KFD0djYiKysLGzduhXjxo3D9OnTERUVhdGjR4tqZGRkoKysDGlpadDr9Zg7d65oNfibb76J1157DTNmzIBSqUSfPn2wdevWLivHHb0HgiDEoVO+CIIgCIITKD1OEARBEJxAQZsgCIIgOIGCNkEQBEFwAgVtgiAIguAECtoEQRAEwQkUtAmCIAiCEyhoEwRBEAQnUNAmCIIgCE74/2mPeOgzAWg3AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_model(blender, plot = 'boundary')"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "6fd577110a75491783c0daab007e1dda",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(ToggleButtons(description='Plot Type:', icons=('',), options=(('Hyperparameters', 'param…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"evaluate_model(tuned_nb)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 9. Interpret Model"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Accuracy | \n",
" AUC | \n",
" Recall | \n",
" Prec. | \n",
" F1 | \n",
" Kappa | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 0.8133 | \n",
" 0.9130 | \n",
" 0.6667 | \n",
" 0.8333 | \n",
" 0.7407 | \n",
" 0.5977 | \n",
"
\n",
" \n",
" 1 | \n",
" 0.8267 | \n",
" 0.9067 | \n",
" 0.7667 | \n",
" 0.7931 | \n",
" 0.7797 | \n",
" 0.6369 | \n",
"
\n",
" \n",
" 2 | \n",
" 0.8400 | \n",
" 0.9250 | \n",
" 0.7241 | \n",
" 0.8400 | \n",
" 0.7778 | \n",
" 0.6538 | \n",
"
\n",
" \n",
" 3 | \n",
" 0.8800 | \n",
" 0.9633 | \n",
" 0.9310 | \n",
" 0.7941 | \n",
" 0.8571 | \n",
" 0.7548 | \n",
"
\n",
" \n",
" 4 | \n",
" 0.7200 | \n",
" 0.8328 | \n",
" 0.7241 | \n",
" 0.6176 | \n",
" 0.6667 | \n",
" 0.4279 | \n",
"
\n",
" \n",
" 5 | \n",
" 0.8267 | \n",
" 0.9295 | \n",
" 0.8621 | \n",
" 0.7353 | \n",
" 0.7937 | \n",
" 0.6458 | \n",
"
\n",
" \n",
" 6 | \n",
" 0.7333 | \n",
" 0.8471 | \n",
" 0.7241 | \n",
" 0.6364 | \n",
" 0.6774 | \n",
" 0.4518 | \n",
"
\n",
" \n",
" 7 | \n",
" 0.7067 | \n",
" 0.8043 | \n",
" 0.6552 | \n",
" 0.6129 | \n",
" 0.6333 | \n",
" 0.3893 | \n",
"
\n",
" \n",
" 8 | \n",
" 0.7703 | \n",
" 0.9084 | \n",
" 0.5862 | \n",
" 0.7727 | \n",
" 0.6667 | \n",
" 0.4964 | \n",
"
\n",
" \n",
" 9 | \n",
" 0.7838 | \n",
" 0.8889 | \n",
" 0.7241 | \n",
" 0.7241 | \n",
" 0.7241 | \n",
" 0.5464 | \n",
"
\n",
" \n",
" Mean | \n",
" 0.7901 | \n",
" 0.8919 | \n",
" 0.7364 | \n",
" 0.7360 | \n",
" 0.7317 | \n",
" 0.5601 | \n",
"
\n",
" \n",
" SD | \n",
" 0.0541 | \n",
" 0.0466 | \n",
" 0.0945 | \n",
" 0.0822 | \n",
" 0.0672 | \n",
" 0.1113 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Accuracy AUC Recall Prec. F1 Kappa\n",
"0 0.8133 0.9130 0.6667 0.8333 0.7407 0.5977\n",
"1 0.8267 0.9067 0.7667 0.7931 0.7797 0.6369\n",
"2 0.8400 0.9250 0.7241 0.8400 0.7778 0.6538\n",
"3 0.8800 0.9633 0.9310 0.7941 0.8571 0.7548\n",
"4 0.7200 0.8328 0.7241 0.6176 0.6667 0.4279\n",
"5 0.8267 0.9295 0.8621 0.7353 0.7937 0.6458\n",
"6 0.7333 0.8471 0.7241 0.6364 0.6774 0.4518\n",
"7 0.7067 0.8043 0.6552 0.6129 0.6333 0.3893\n",
"8 0.7703 0.9084 0.5862 0.7727 0.6667 0.4964\n",
"9 0.7838 0.8889 0.7241 0.7241 0.7241 0.5464\n",
"Mean 0.7901 0.8919 0.7364 0.7360 0.7317 0.5601\n",
"SD 0.0541 0.0466 0.0945 0.0822 0.0672 0.1113"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xgboost = create_model('xgboost')"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
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La79XP+87M1tmzhYNPpkJhULcfffd9O/fnwkTJpCVlcU999yDx+PhmmuuITIykuXLl9OvXz8sy2LhwoWMHz+etWvX8u677/L222/TtGlT1qxZw5gxYxgyZAhNmjSp2v6ePXvIzMzk0ksvPajsm2++udbr7777jr59+x4UX8eOHU/Jvp8Kvps/RqBhouFDx4GXCqIRHHhFYuGgBAfllQN+VQxcCDQiyUPDrFquNiU8IBgFMAEbgiAmdvSqO6AO0QSsa2AY1a/nr4ZFa6GoMrHYug/Sd1WVUSvxWrWN5FU7gfVoQBwQwoafCKzJ30LNZKa8+sSiEE5oTDQsVIJbimBL+CSsOTWEf3+3Wo1KzhJ4P9xAxbRfIRg+Bv5pWzFxVkVkViYVzaZcVrVayedbKZ2+FUeNXfZtLCRn40ZKVuRR+kMOAMVL9xFlDyF8JjYMVAQ6oGLhw0aU8KEEBN7K5FHDIgpf1ck7qOi1rlBBxeexEbDZUET4hKNY4CkPYQtZeIGo0hBCgbJIO3pw//tau1HbZkJ8vp/iWAeKEBi28OdFEYKMJVnsWbgPK3gMTftFQXbN2YulKIRcNlDDn5RgUDDvrp8o+CncIuYGQlFgq+wiEkJQ6nIS1HXiCoqxKiNTrcpPrqriDoVILi1DaDU+y5XHwhkIooXC2/IEg1hehTK3C7+mVH6cFCwBUzeEx3ct2WmR4IKNedUHM2CG33J3jf156qU89uaY4bE6B+xrQFHY43GwU7GRQghdCExFYU6mRcBSqhKZWrHqKrpReyxPaY0uF8MSDJlmUOpxkhD0Uea0Ue4Mjx2akyt4dp6Pdxb5APjxtxDnpGh0b20/4nsSMgWDp5sHdWttzIf7F5m8e+WxnYY+2Ch4fHn4M7Bkj6BNLFzVujqhKQ/WXn76VkGC2+KNgRrDz1HomwZLM6vnbyk8epl7ywTXzLIIHjD8yaWDeoiB6kFTMGS6SeEheub2lR887cxQf7uWamrwycyaNWsoKyvj7rvvRtd1mjdvzujRo/nqq68YOXIkl19+OQsWLKBfv36sXr0aXdc599xzCQQCTJkyheTkZAoKCgiFQjgcDvLy8molMyUlJQDExsYeNZY+ffowYcKEWtM+/fRTFi9efHJ3+ijWr19PMBg8+oKH0HpbXtWJT6BRQSSgEMSOjgkoqBjYCKAhCOLGVBzYRQAIoGKiUrPmUHCRRwUplV1PBahYhL+ARuXXUMeKckCpUTm95kkvfAow7RqqaaBU1qdmyEArrd7H4O4cqqvk6i6i8LZqtfsAYCNEEIFaUkR6enrlaoLo5o1o7tqC7gtWnqpVEtmHjwhCVN/dYvlN9rcYWaiV+1yjjBq15wFtHgCE0NmycCNqYkE4nr+tRENHx0BD4MNOWWUbSNnO6vEnimkhfGbl3lWfXFTAgVHZ2Qc2LIqIwEQhjurWD1WYWGiohI++gYKhqJXzQDUEESXBqng95SH0ytYkW9BC0wEzvE/VnxMQCKLKgkSWhTA0hcxmkVVllgZLjimRsSVqmFY4QRSqUtXKA6AIKM4oqX5N7fO8AsTlF7OlbQtKoyJJy8olIzUZzbJqHXtXyMASJgHNhlAUQrqGzTBwhmo8SgCwmSaKsAjqWq04alq5LQ9DVNcLkTaT7ZtW11pmd0EithoR7I95i8fJVk/4/W3sDxCtgqmqpJX5KVWcBA5xB53btAi4dLoVllKsqJTpGjbLomvsDtLTw8etwlDJ93UEu05WciR2b/V+CRRWbcuHGp/j5Wu2o5Z4DyyqlrKQSqG/c/U1Qo0Dv3FvCelVFxFHtmJnMlD9wMJlG/eQWlJQ9fqaaCcL9FaUGNWntQ0ZJaSn72RDqYvvMs+h5nfMrQZJT1932PLS09P5tcxF0Gxz0Dw7oUOuWxrSKPR3qp5Qo7VxX4mf9PTjG+fWtWvX41qvIWnwyUxhYSGJiYnoevWhaNSoEbm54Su4wYMHc9ttt+H3+5k/fz6XX345iqKgKApvv/02S5YsIS4ujvbt2wNgHXDXTHx8PAAFBQUkJyfXmldRUYGu61VdWGeKzp07H/e6JakLYFceEB7IG0F4QKYTG0FsCHQ0LNyUVJ1MfcKBhhcFsFGBgsH+j6aCgU6ASDJRCaFiVrYl6LVOMvbScsKJh1r5Jyr/DSck2gF3FGn//CNsz4a3F4GmYv/X9fDSvHALDYCuwCt3wMtfw8YMjCgbui0CCsoJYcdH+GRr9epcVdEU/b9vKXlzH5m0Icm9D5e3uHIfBHYCtZKZmpWqRykjcdowCj7JwP/FFrCpOPq3wD9vB6gKocRYjJwgOlbluKLwiSq+0E3Lrl0RQrAhdxkCBR8uLAQV7Zohfi1Fj3NwzpNd2Tr2J8wKg8i+jYiOVSmesRNT09HMcELoxYarxrN99MqE0kTDjw0nIQTgw46/RquNAGwBC1NTQVHQQgI90YmZF7401Wp0izkQuFpF491UXOu9q5ky+pwahq7gTnHizfbjaeSi/2O9+DG4hsxvc1BtSrjBwah9ld95zDl0G9eZLVN38uM/16CaFu5YG96icNxqhI0e97Tl5yfWYHoNSiLd7EpLpuO2PVWx6KaFLWQQcDqIKqugxZ69bGuaSkhVsVnhfQ1pKp5AEKcVToQtBQoiI8PbsKsQtDAUhVyPm/Z9YgkW1E4qHBoEDIhzwb+uaETaaoNJK8KJxDODXAedtM67sIi1P5RXVdRago1rro1j9PTqRNzvsvGLO1yHZEY46WnzM6cYHDrohqBCKOhC0CYYYosp2B7t5tz8MqxgiAK7jhbflq5dqz+bdxcbvLo6/Hwdl2EQ0lSEotDYYfHvkSnc8koJReWCNo00br+y7UHjbQ7lrjKTN9aBogs6xsCGvPCx+Gf/WLq2jj/q+gDxrQVffWKSVQ6tYuCBAc1I8jSvmt8VGNHL4oovLBbuDree/PPSGLo278ra9RbWAS22HRLth00S0tPT6dq1K10swUcFFnN3iurERAjKDP2w6/65zGTyuvAFiKiRyEZ5nGdkUnLgpVJ9badp8MlMSkoKeXl5GIZRldBkZWURFxcHQOvWrUlLS+OHH35g6dKlTJ4cfhLtRx99xPbt25k5cyYREREYhsHChQsP2n5qaipNmzblm2++4frrr681b/Lkyfz666+8+eabp3gvTx/7I/2puGsGCuCxl0FlnasTIhgXi1EoUPHVahXQMMknFTs+nJThohyl8uRpoWAQz/4Bv3byUTEQlUlN+IsnqL7csxCaDcWs2bpT48SnKLB5ErRNDb++90qIdEHTRLi9f/i2al8QmiVAajzc0hd+3cvG4izOPe88jG+3kXvLfKziIIpbx/38sKpN+xbt3F8Ipd4onFopimlhYMNqmUKTz69F9dgwSwLkXDsLY3cp6CqR/7sBdWRnEq7pQWhDHmqcEz01iuCmPFSPHTXJg/fXIsxsLzvHfIuV6UXRVeKua1W5SwoxN7WjeMpmBBB7Zyc6vtyPis3FOJtFYIt1kHBlEwL7fHg6xqBoCr71hegJTjJf2EDGc+sx0XCmOFGyywCqEpbka5rh3VxM8abCyuHW1VWGqNxXW8hCKw1iKQpYCk0f70LysCZseTidgi/3VL3XaXe1oyLTS+nmUhACW+X06L4pFO6ooLDcoDQmfFJOTHEx8M2eRDXzYIuwMeCtnhRvLcUZ76B0Vzlzb/oWUeMt9uYGUBSFdje0JK1PMiGvSVTzCAq2lhL0msS1isQdayfl4kQmPL6bPT4biq6S1s3O3qnhuw69LicBhx23alERHUFOfAxOy6JC13GZJpaqIlSVgKrhrGwBCtjsGDYdS1UoaBTFYlsUO+KiMFWFTzsJUlcK9nrDn9LWcbByjINdxdAsRiHWpfDiYDt/7qbj0qF57MFJwS2XetjwQ3X/RLwOQ9rbaBYTYndx+JknRNnZn4eWOGw8O9rOf3WVpAiVW58tICffxCEElqJwz0Uqz6x0ke+04wwZxJQHWL4lxFXdqpOZVy7X+b+u4ccZ3PemyZbcCoSm8NooDx1SbSz+RxyZhRatkjUctmM79b0+UONv5wl2bNnEkIs7syFPkOhWftfzWppHK2y+TWN7MbSJBY/94HVtmsrcaxQ25EOKB5I94WUua6aQ6II8X/Wyx3Ljm6YqfDVcZWMBdP/AIFg5ZskUEDDEIZ/380blvn6y2eQ/K6oToHZxZ2qacKbG9fs0qGSmsLCQnJycqtd2u51OnToRHx/Pq6++yl/+8heysrKYMmUK1157bdVygwcP5t133yUxMZGWLVsC4VYVm82Grut4vV5ee+01QqEQRs1xGZXuu+8+/vGPfxAZGcnAgQMRQjB79mymT5/OCy+8cOp3/DRy/bkHepdGWFmlaAvXIF7/FgAzKoJAISgohHBgoaBWnszCXQ4GCgp+YgkQRSS5WDio/fQAFQsHKl5AUEgqoBLtzEH3V9ZMQ7ujPH8bbMoAtx3KA/DKHFi8Pjy/b8fqRAagY9Pq/7sdcF6L2jvktEOXFpjphSjRbmxX/YGU9c0JrtiL/fwU9JbV3QSuAS0I/hxu2THaNEX5dAyhRVsIJSTSeEQH1KjqFrgmq0bh+zYDW7t4HB3Dd9koioK9c1LVMvYOiVX/jzgv/P+Oa/9I2dIsnO1icHeMq5qf9v5AYm5ow9Yd20i7OzyGJ7JL9RWvPcmFPal6sKb7D+F5LZ+9gLirmhEqDBA3KBXvN5kIIGBpqLpK3MDGmOUGRYuy0BMdbBy1DP+u8Mk16U9tKf0uG/9vpagC4i5NocXj5xHbK9wC2WV6P/LmZFK+tpCYCxOJG9CYnC/3kDsjA0PRwQ7tJ11Ao9vPYfusDHY+sLIqvry1RcScE4VWOchZ1RTi2oXvPnMnOhkytS/zbv4OMxC+2k67pLrVMyLVU/X/pA4xtd7O2MYu/t8L57Bpk5+UZBtNm9rJuboR3lw/VuMoyissijYW880n5QT18FiRyGAIh2EgAK/DjioE+ZERKEDAFh786/L7afVLKa2Aea2bMKdNc35VNLbeb+e5ZQYuG9x3kY6mKnQ5YMxs+8TDt2y0aGwjOVEjJy+cufXr5iLeo7Dqr26+3WnSLlHhxZUWb1c+96RLInRoWt1hOuhCN5PnVBBEkJSo8a9+dvq3NLnzPR+Uh1AFXNz24KcVd0gIj9L57P4YfvwtRJMEjQ5p4dNFlFulg/v3P9WjQ4KCb3cIVVH4Q9LxnUCjHArnJR95GU1VODep9rQmUQprRqv0+sRiV/hpAgxoeux3Mv0hEa5tp/DRpnCd1SvtyA8u7JigcG1bjQkrTUJW+Ls99vwG8ySUOqGIk/EQhHqgW7duB00799xzeeedd8jIyODZZ59l/fr1OJ1ORo4cyW233YZa+WTZnJwchg4dyt/+9jdGjRoFhBOjxx57jA0bNuByuejTpw87duxg4MCBXH/99XTr1o2pU6fSunVrAH788Ufee+89tm3bhmVZtGnThjvvvJPu3cO3kU6ePJnt27cfdsxMfWy9EZaF+N+PWNvzKXrq58pREvuv5y3shC+TVBRC6JV3PIXZKcfOgYmhwE4RqltFfDiWilwdghbuq1qgTl8OCZFw8yUHPxE4GIL3voGgAbdfCp7f/2TW/c3OR9xfIaj4eCNmdgURozqhJXmOuPypcCxxnohAlpfsj3fgaOIh5boWGKVB9r23Fc1jI+XW1qj60Svszx79kJSKRLrc2YPITtXJ4MxhiynYEO6aizknkhHzLjvcJgAo2VHG7oVZxLaNpknfk/vjj/P+l8XMr8twBoMklpZVTReAz2GnOMKD2+dHtyzcgSDx/goMfzjhMBSFBwb1ZPFtTvq1PPFbcYtKTJauqCA2WuOSC9wHPSHZsARPzNpJfKOm3HauRnSNu4OEEHyVHiC3xGJYdyeJUeH3Z3u2weINQdo21rmkw5EH8J5Mp/rzeTTFfsF7GwQxDhjdUQnfcn0Ih4ozZAreWy/wm4LbO6tEHKJl6KDtZAsW7Rb0TFXolXZmtoBYym21XqvivTqK5MQ0mGTmRASDQS677DKmTZtGUlLS0VeQarFK/RSkPYcoC49bURpHQZwHdXMmNtNfOZRXx6yRzLgoQKt1/4ZAv7Yjerwd7r4cOjXldKrrSvhY1Yc4P/74Y2Oz9/sAACAASURBVNq2bXtQnIGSIL+8sQUzYNL5zjZ4GrkPs4VTr7gwxGN/24HqN0guLqlqiDcUhXKXk14jkmmZZmPP+lJa9Yhh9WtbyP8tnPQEY5w0n9STazqevobv+vC+g4zzTHS2JDMNqpvpeOzatYuvv/6aLl26yETmOKlRTqK/ugnv+O9QkjxEPj8YNdGDMW8z/r/Pwb+3GMegzjjOTyU0ewva6k24i3Ix8WDiAHQUjwPt47vOqt85kmpzRNvp/vDxDz4/mWLibPz5/lRmTttNIDMKCrwYmkapy0lycSnn94gkrWMknQaGu/+Sm53Lskm/IUzBRX9tQ3wrWbVK9UN9fupvTfIbdxSPPfYYZWVlTJo0qa5Dqdfsl7TAfknt8Sj6oPZEDGrPlppXQff2RDwzCx7ZjYYv/MzZuCj0/92GIhMZ6TTq3DWCIH6WfZ3AbxuqP3vdRzYmrWNkrWVjmni44rnzTneIknQSyGSmQfjwww/rOoSG574hiGU7YfY6tK7NUOY9gBIfcfT1JOkUGHZTEpMnZFJeYjDomgQGXZt49JUkSTqtZDIjnXEUu44y6x6EYcrWGKnONWvlYvzkc7AsgXqU37qSpPrmbBk0K+8Vk85YMpGRziQykZGkM5dsmZEkSZKkBuvsSNJlMiNJkiRJDdTZcjeT7GaSJEmSJKleky0zkiRJktRgnR0tMzKZkSTpuIkSH6GPVqPEuVEvaIrx1Sa0DsnoA9rUdWiSJDUgMpmRJOm4CNOi4pLXUNZtR6BiuSLBF/75ZueUG7DffOyPgw8ags9/8qH5TK662I3LrZGXEyQ7M0jLti48EfLONkk6Fc6WMTMymZEk6bhYmSXo6zbgoBQDJz5f9Q94ht5beczJjOE3uOEfGcwPRlBht3PF3BwmjI7i1Ql7sQyIjdd45L/NiYqW1ZUknXwymZEkqYESvhC+6/6HRTwhYrBRiKC6WhSlgaNuwwoYCJ9BziUf8Mov2eS63Vxz/UjSnW6efqsAT+WPphcVmGxYU87FfWNO2f5IklS/yWRGkqTfzVj4G9ZPGQAINILEEkLFQyEaAayiI1ctsQ+uJGfpbATVt1Qmeb2MWree2e06UKxqeGosX1ponJL9kKSGTnYzSZLUYCn2A5/qoBLFXuz4wi+3/0ZgykpK//szQkD061fg6NucsieWcvELO3CUmOHtVK5topJNLL3X5tJzXT5rOzZje9u0qq3fsc5Ozk6Dgc1g9ggNTT6NV5KkGursOTO7d+/m/vvvp1+/fvTp04cbbriBL7/88qjrrVq1iv79+x9TGUOHDqVnz5707t2bPn360KdPH+644w5Wr1592HX++Mc/snz58mPejwNlZWXRrVs3rrjiCoSo/asXhYWFXHDBBYwZM6ZqX7p168af/vSng7bz66+/0q1bNx5//PHjjkWSfi/r6TmYfSdg/etLhBCI3fmYI17FvPx5xFuLYeDjiCFPod7+Ih4yAKtyTRULBxU0wkc8AoXQ/03B2JyP+Ws+RSM+xb9oO+WPf1uVyOwngAIi8eHEZoLDsOi2fhfnbM0i32ljfVwEfgGNckowvtjOA0vNA8OWJKmBq5OWGcuyGDt2LEOHDmX8+PHY7XbWrFnDQw89RGRk5DEnK8fi6aefpnfv3lXlTp06lXvvvZdZs2YRE3NwH/y0adNOSrl+v59169bRpUuXqmkLFizA6XTWWs7pdLJ582ays7NJSUmpmj537lw8Hg+SdLqIGasRf58e/v+3WxB5ZfDhCijzAwIWLGN/o7QSnoKDQgACxBAkFlAwcaFgIcqru4ZEkZ+i66cfslwFiMCHhkURkYCCZgm6r9nOxMvOJSshCoDCKMiz2dgwq5DeaQlc00Y+81OSTtTZ0s1UJ7VBcXExe/fuZdCgQTidTlRVpWvXrowdO5ZQKITf7+fpp5/m6quvplevXgwfPpylS5ceclurV69m9OjR9O3bl1tuuYUNGzYctlxVVRk+fDher5esrCxWrVrFyJEjGTt2LJdeeimrVq1i6NChfP/99wBs27aNMWPG0KdPH4YNG8bcuXOrtvX5558zfPhw+vfvz4MPPkh+fn6tsvr378/8+fNrTZs3bx79+vWrNc3hcNCzZ08WLFhQNc2yLBYtWkSfPn2O6XhK0skglm2tPeH1byoTGQAL5YDf11UAB6WVf0XUvCvCQqeCGECgE0LDgALvocsF3ASJp4wESghq4Wrp40s6sS8uAkwLKoLgC5Fc7iVPs3HtpwEemOkls+xs+c1fSZJORJ0kM3FxcXTt2pW7776byZMns2rVKnw+H1dffTWDBg3iww8/ZOfOnXz44Yd8++23DB06lGefffag7WRnZ3Pfffdx++23s2jRIkaNGsU999xDSUnJIcv1er1MmTKF+Ph4WrZsCcCuXbsYMGAAc+bMqdWKEgqFuPfee+nevTuLFy9m/PjxjB8/nl27drFo0SLee+89nnvuOebMmUNqaiqPPvporbIGDx7MokWLMM1wk3hGRgbl5eW0b9/+oLgGDx5cK/FZuXIlLVu2JD4+/vcfXEk6TobfAvZ34dS8NwlAw8JeNWf/3342ylDZfweTiYNSQMWBHxsh7ATRCB2y3JqllHk0Lhs7nAH3juCNIV0RigLlQQhZUBrEWR7k3sVrEKbg+a12en5oUB6UCY0kHT/lgL/6qc4GAL/00ktMnz6dJUuW8P777wPQr18/xo0bx7XXXsvIkSNxuVzk5OTgdrvJzc09aBvz5s2ja9eu9O3bF4ABAwbw2WefsXjxYkaMGAHAo48+iqaFH7ilaRpt27Zl4sSJVd09iqIwaNAg7HZ7rW2vW7cOn8/HHXfcgaqqdOzYkbfffpuEhAQmTpzIjTfeSKtWrQD461//yiWXXMLu3bux2WwAtG3blujoaFauXMmFF17I3LlzGTx48CGPRc+ePXnyySfZvXs3zZo1Y968eQwZMoQtW7ac2EE+TuvXrycYDJ7WMtPT009recejPsQIxx9nyt48klErq7PqSk0AFhoqHgROVMoJEIOOD33/gF/s6FRgIxcVEwM7oKLWSHl0LA4e7VKdNAnAiwvdrhJUVVAVsAREV3bNBgyCBQo9t2Ux0RH+Tu+pUPjqx020ifAftOWT5Wx/3083Gefv17XrsT+AsqGqs2TG4XBw4403cuONNxIIBFi7di0vvfQSTz75JA888ADPPPMMGzZsIC0tjdTU1IMG00K4ZebHH3+sSmYADMOo1cIyfvz4qjEzhxIVFXVQIgNQUFBAQkICqlrdeNW2bduqcl9//XXeeuutqnmKorBv3z6aNm1aNW3QoEHMnz+fCy+8kPnz5/Pyyy9XdWHVZLfb6devH/Pnz+eWW25hxYoVjBs3rs6Smc6dO5/W8tLT08/4L2t9iBFOLE4jeRPKAVdmAvDjwcKORhAH5XhJwsSNiRuF4srlbJi4UFEwEEAQlQAWSlVCYx6yITjcebU5MZXsmBiK3B467itgTXJ8uHup5l1LDh1dA79DB1s4mWkRIbjqog547KfmirIhvO+nk4zzzHO2jJmpk2RmwYIFvPLKK8ycORNFUXA4HFxwwQXccccdPP/884wfP56WLVvy/PPPo+s6q1evZuHChQdtJyEhgYEDB/Lkk09WTdu7dy/R0dEnHGNSUhL5+flYllWV0Hz22We0b9+ehIQEbr75ZoYNG1a1/M6dO0lLSyMvL69q2qBBg6qWi4uLo3Hjxoctb/DgwTz99NO0bNmS7t2743K5TngfJOn30GwmJqI6oXFoBAP2qu4lEzsCDVFZbZjYCeBGQcHEhoKFgRsDHQcFuCimnEbh8TIomBz6JwkyIqP4tXEqEG6juXR3FmuS4qHQjxptx7JXVlOWYFvbRsw6rxXXe3M576JYRl/sPGWJjCQ1DGfH96dOxsz06NEDr9fLxIkTKSwsRAhBRkYG06dPp3fv3lRUVOBwONA0jezsbN544w0g3OpS02WXXcb333/Pzz//jBCCtWvXcsMNN7Bp06YTjrFTp05ERUXxwQcfYBgGGzZs4LXXXsPj8XDFFVfw0UcfkZGRUXWH1K233orP56u1jbS0NJo3b8748eMP28W0X9euXfF6vbz55psMGTLkhOOXpN9LGdABjQoU/CiUo719E+Kic6oX0BXUDom47uiI3ikWDS8ClRAeLLSqdd1k46Ac/eJmUJnomJoN+/B2hyx3U2I8fq26KiqMcoPbhlux+H+zfyTSWzkWR1VwBEIU3tCBT/7ZmHEDXaR4zo6KWJKkE1MnLTMxMTG8/fbbvP7661x33XV4vV7i4uIYPHgwd955J5s3b+Y///kP06ZNIzY2lhEjRrB582Z27txZaztNmzblv//9Ly+//DJ79uwhJiaG++67jx49epxwjDabjRdeeIFnnnmGDz74gLi4OP7xj3/QokULmjdvTmlpKWPHjqWwsJBmzZoxadIkoqKiKC8vr7WdQYMGMWnSJAYMGHDE8lRV5bLLLmPevHl07979hOOXpN9tWA+UiTehzF8LfTrAzZfgvqI7/gdnY2WV4BjXD61fawDsy3fg7fla1aoaBgoKBg7CY2XycfzvDtwvpGNuK8R9VzecV7ej/MUVFD+8AK3GoN2BO3dx27AudC4sJS8+ghld24DDTpLfS0ZSDFGlXspUDRQIlBtc/wfH6T4yknTWOlu6mRRxqMEoknQa1Yf+6foQI5y+OEVuKYHkRwjiQKlMY/Z3RwFojZ149j51yHVnPv0ePf6+p+p1odPBeX8ZQ0jTwKnjtCugKvgd4cH0BAw6GT68dp2BbXReHe48bU8Alu/7ySXjPPN4lbG1XrvFS3UUyYmRT52SJOl3U5KisI+/ovLheWqtRAZAxB5+3FpFUwfeyxpVbgh8HVLCiQyA36DV5n10+G0fCBEeBFweYlRPJ9v/Hskb17jkTxlIknQQmcxIknRclPsvRxxmUK/aPPaI6xaP70qK+U9SzH/SLf1Wrt8efmCfI2Rw54p19BwYB7leyPfR2C244yLZtSRJp4JAqfVXX8kfmpQk6bgoDh3brd0Ivb8qPCHBA/kVYNew33fJ0dev0cLy1sVB7v33u7gDBqlXNiPu5hjuGWxSWCE4t7GGXa+/lawkSaeeTGYkSTpuznevw3Z7DxSnjto+GXPFbtSW8agtf9/TqyMevJjz+7fAKglg79MMgFbxGq3kQ7Al6RQ7Oy4UZDIjSdJxUxQFvXfLqtf6gDbHvS3beY1ORkiSJDVAMpmRJEmSpAaqPo+TqUkOAJYkSZIkqV6TLTOSJEmS1EDJlhlJkiRJkqQzgExmJEk6/daVseP6+WQ8tAzLG6rraCRJqudkN5MkSaec9+ttCJ+Be9g5aGUWYuxm8oOgIPCtzKXN0uF1HaIkNUhnSzeTTGYkSTplLL9B9sVTCK7JAcB1ZSv0C0wCQQ2rsmHY+jYbK2ig2mV1JEnS8ZHdTJIknTIFf1+KrzKRAfDN3o6WLqoSGQADjbeuWUFZXqAuQpSkBk454K9+kpdCkiSdMgVvb671E5RBu07wRzuWYqCK8LTCSDdL3YkUX72cOJeg1z1taT80tU7ilaSG5mzpZpItM5IknRJmSQDK/bUqGXvQoHNOFjZhAIIyt41VbRvTJSMLm2FSVmYx/8lNFO4or6uwJUmqhxpMMtOtWzd69uxJ79696dOnD5dccgl//etf2bZt22HX6d27Nzt37jzuMletWkW3bt3o3bs3vXv3pmfPnowYMYL3338fy7IOWc6UKVO45JJLuPzyy6moqOCuu+6iV69ePPPMM8cdhyT9LkLAlr2wYTds23fUxcvfXE12p9fJv/JjrGJ/1XSzJIiCgoHC/k+7gUoxkYCKhsAVCBHhUFE1FdNuw7TbCDlsrPo0A4BSr8UDb5Vw9b8Lmfqd9xTsrCQ1bPJXs+uhDz74gNatWwNgGAavvPIK99xzD7NmzULTtIOW//7770+4zOjoaBYvXgyAEIJNmzbx2GOPUVpaytixYw8q54svvuD+++9n2LBhrF27lvXr17Nw4ULcbvcJxyJJhyJMi4rJqzFzK/Dc0QVj1JuIbzfhpAQFCCUno9/VF+X/Locvf4a9hTDkfJi3hkCWn+I39wBgbMyn6LL3if/5LgDsTSMJomPhQMUkEj8htFoVpqmpoFS/ViyL9hmZbP/Gwny4HROml7NkbXgszdOfltOssY2LWttO38GRJKleaFDJTE26rjN06FA+/PBDysrK+P7775k5cyahUIjMzEzef/99hg8fztSpU2ndujXp6elMmjSJnTt30qhRI+6//34uvPBCTNPk3XffZdasWfj9fnr16sUDDzxARETEQWUqikLHjh157LHHuPvuu7nllluIjo6mW7duTJ06lXHjxpGZmcmECRP46KOP2Lt3L4FAgMsvv5xXX32VP/zhD3VwpKSzSWhHIdbyXei9mqHEegh+txPv+KUEVuzDxEbZE0tRUUjEj0CljAR8ObFoT6QT9dxcvBVR+IjGenIzNnxEkIONxhi4AAis3Ef5G6tQUyKomL8bi/BFgoVGAA0bJgoWorJRuMJjRzVMLD28XGphER0z9tIuM4tLxzRlZ0ICcYAFRFb4+PKdUkI3pdKltZMSvyC7XNA2UWFzocK76wxmb4cLGsF93TWaRys0iVLYWya4Za7Jb0Xwp84KTg1eXC2ItsOHV2gkuSG7As5PBk0NJ1bFfsGWIvAb1Y3XW4sEJQHB48stVu6Dgc3g/85T6ZKk4NJhdQ7EOaFFTP29upUaorPj89pgk5nS0lKmTp1Kq1atiImJAWDdunW8+uqrdOjQoVYyUlhYyP33388DDzzAFVdcwbJly3jooYeYM2cOM2bM4JtvvuGtt94iMjKSp556imeffZYnnnjisGV37doVTdPYsGEDPXv2rJr+xRdfMHToUMaNG0fv3r1ZtWoVDz/8cFXLjiSdCO9HvxC6+X/YCGIoCgFPFI7yEuwoWLgAgYkNhSAChTxaY+ICFEyguEIlhJvwuF2FIJF4MYlmL4WEWzwtNIr/MjdcHjYEnsqqUqBjEUKvapkxVTA06LFpG7O7tKdTXj49tmwFQBOCi7fupdQRBUCb3AL+PnMxrpBBxpvRdPnzVWToTgyh4I6z4TVgf1/WjK0wY6uJ3a7w2VCVTzYLFocbj/jXclF1PPZVQN9PTQImhCwY1Fxh9giVjDK4+GOTfRWQ7GhLegfBrO2CuxdZVK8NH/0KH/1q0T4O2sbBl9tAU+C9QSqjOjaYHnypnhNHX6ReaFDfuDvuuIO+ffvSt29fRo4cSX5+PhMmTKian5CQQI8ePQ5qVfnhhx9ITU3lqquuQtM0+vTpw+uvv47NZmPmzJnceeedpKSk4PF4GDt2LHPnziUQOPJtplFRUZSXy0GO0unjfeZ7bAQBUITAXl6KAlQQiR8PJnbCiYuDIB5iyOTQV23V0wxcBAlfDIgD5jkxsAAFC3tlB5MdgyjCY180C5rlF5NUWk77PVksbJFWtW5Q09iZmFD1+tKN23CFDACaFJbQff0eDAOwqXhN5ZA1ctCEV9YI9lUcvrouD4UTGYB5uwQbC+CTXwX7KsLTcgJ2pm0RPL/KOmylv7kwnMgAmAJeXG0dZklJkk6VBtUy884771SNmTmU+Pj4Q04vLCwkOTm51rROnToBkJ2dzb/+9a9aLTG6rpOdnX3YckzTpLS0lJSUlN8T/mmzfv16gsHgaS0zPT39tJZ3POpDjHD4OGPjNFwoKJWn5XALicDg4DEoIVxEUICHHCpIRsEkkiyKaFWVtITbc7xogE6AEA7CWcX+tphwQqMh0AknIiqCCAIEsBHAhs9lx+tw4tJ12hWX88yQ/nTNzKYkJpoKT/U4sezo6gsMC9gTHRkuxqpMMRRqJzSVOVVEKJ/zo8v4luaHOVrV8TpUi+xtG7GKIoBm1eXlbydOSQAiD7MNcGkmPjPcVRZjFZOevvuwy54q9f3zeaY5k+Ls2rXrKdt2fR70W1ODSmaORlEO/aYmJiaSm5tba9o777zDgAEDSEhI4LHHHqN79+5AeGBxZmYmaWlp5OXlHXJ7a9asQQhBq1atTu4OnCSdO3c+reWlp6ef0i/ryVAfYoQjx2l90YGyUZ+hrtqOfkEanNuS0LvLsGUFCOKssaTARTEAHvJxUwBYmI4ICAhUFDS8RFBRVQ1GUgwI/DipcCSgRNjRm0RjrPVSioMIfERQ3VpZFO3EUx6i1ONhU9umoCjYgNRAiN1NUjEBuzPcbWMKmHNue9yBEG2Ki0jv1oqr/9SULqWQUWJxTiPYUqKiI/CFBMkeKAoqNItSeOaSJFx6Eh9lm/xaFC5bV8CoTHyub6sQ41TIKIN7ztcZ2PxcLgNsCRbf7BG01zN5YNA53FguGPedxd4ywY5i8JlwbiLoqsLINgrt4jSe/tkiwQXPXhJPvKu6Vel0OBs+n2eS+hKnVE0mM8egZ8+eTJw4kTlz5nD55ZezbNkyPvroI6655hquvPJK3nrrLVq0aEFMTAyvvfYaixYt4osvvjhoO0IIfvnlF8aPH88tt9xyyEHCknSqqHEuor8eXXviv/vjX5FJweCPESUBnFe3JSqqBNuUdQih4RNJhDq1wvPiVTj7tyRpawHBqWvQQuUYUzfC1hzC13YWCmDrkETqhodRFIX8N9dT/udlgEo5LhwY6JgE0fFqdnxRdrIS42rdzRRCwQdcaOby9Euduf/9cpb+EsTUVL7o1YVvJiQwwvn7e8dXjdKYtT2c6PRJU/hyq8Chw5UtlUNexIzroTKuB6Sn5wPNaBShMGXIwXc81jRr+JHnS9KZSbbMNBgxMTG8+OKLPP/88zzzzDOkpqby3HPPERMTw2233UYoFOLWW2+lrKyMdu3a8eKLL6Lr4UNbUlJC7969AdA0jZSUFK677jquu+66utwlSarivDCN1KJxCNNC0SoThXduB00jwjBR9OqTtH5OPPo/BgDgePJqhGEiVu7GfOkbSI3B88SVVcmBFQyPmAGwUMkjCgchFBSifEG2N07g+86taZ+dh92ysICdCXEklZSRdm1bFIfOU7dE8frsCvJLLUb1d+M5jkQGwGNXuKF9daU9su3ZUYFL0ok6W7qZFCHE2TKYWaqn6kOTbn2IEc6sOEsW7GHj5fOqHpmnY6FVDmwp9LjY1iSJgMeGIiBo0/mlaSqRXh8tCoq47rXzaXJeTF2GD5xZx/NIZJwnV32J82QoUB6t9TpejK+jSE5Mg7qbSZKk0ydqYBNcMSrR+InGj4sQGiYWENQ17Gb495kUwBEyuOLndbgrykn8S4czIpGRpIZAPgFYkiTpCBRFIbm7h+KFZYCCisB9fgJ7dlaQVFyGTRX8Ghl+2B5CEPtg1//P3p3H2VT/Dxx/nbvNnX0xGOtYs4fGLoyvdTAl30IKRUQ0qFCkohKKECLLNylfKb6WrCFFlIz9V5KdGcbs+8zdzu+P4XLNDIPZ7ng/H4/7eMw593w+533Ozel9Pp/P+RyG9K3GI/5yjyWEuDdy1RBCFBifUU0xGizosOBa3YPAn57m8igPNECZ+GRqn7tC+ah4ei5qSueRNSSREULcF2mZEUIUGLfuNah8dhjWq6kYGpZB0WnQWBTSXPR4ZpgoE5+Mr1GlUtOc53gSQhQsZ+5aupUkM0KIAqWr4Imuwi0TztVUiW1VltSD8eiMWhqu7VJ0wQkhSgRJZoQQhUsHFT6qyCN+/8JYxojBy1DUEQnx0JKWGSGEuE+KVsGrhldRhyGEKCEkmRFCCCEeWtIyI4QQQggnVlJmzZXnIIUQ+U7d8X+os7ehnokq6lCEEA8BSWaEEPnKsvAXrnX6hsgx+0h+9GPUyPiiDkkIkYuSMgOwJDNCiHwVP+kXMvDAggvxab6Yvjta1CEJIUo4SWaEEPnKFp+BK0l4E42BDOJmHLxrmdTNZ4l+7SfiPjmA+XJyIUQphICS0zIjA4CFEPnKW8lKYgA8iCchMvOO20fOOMh//5dEROlSZJxXKPtDOM9Pe5TqLfwKI1whHnLOm8DcSpIZIUS+0thUzBjQYEWDFSMpd9z+210ZxHq6c9Lfg221K2PTKPzvu1iOtCikgIUQTq9EdzNFREQUdQhCPFRsMSlYbDrS8SCSalyhGmZcyHhzLXy7FyxWh+1Vm0rDQ6eoc/Ys+wPLYLt+k3i0XCk2/mPNYQ9CiPwk3UwFrEmTJqxatYoaNWpk+653796MHj2aVq1a5Vr+5MmTjBo1im3btgHw3nvvsXXrVvR6PYqioKoqZcuW5dlnn+Xf//53jnVMnToVb29vRowYcd/HERoaSlxcHBqNBlVVMRqNNGvWjLCwMAICArLt5/Tp04wdO5a4uDjeeustoqOjWbJkCUajkU2bNqHTFdufTDxEbG+txrboZ1BA7dYIJjyJHhPq8UgUzCRSHq63zWTghjJ9JxpiOe1zgPJuHpi6XyZxcGWuzjxIpeg4Xun/HAnurvb69RYr6W/8ysmLlzA+XR//F2oz9YyRzedU2vpZmdpKwaOUvAZBCJHFKf/PuHr16rtuk5KSgsVicVjXt29fRo8ebV8+evQor7zyCuXLl6dly5bZ6pgwYcKDBwtMmzaNNm3aAJCQkMDcuXN5+eWXWbVqFa6urg77+fnnnyldujRr165FURSeeuopXnvtNZ588sl8iUWIB2X74ifSp+0mEze0WPD4ei+ZX/+BSgZ6UnAFAkgnilq4E4cfF1CAWMoQm+CFNgGsi6/yf4u/5Ui90nQClFtn7lJVxm/cTbXz+zlephJV5/1A+Nz/40LzenRNTCTK24NXvvGgfnwCTXRJtHy/Ma6Plb23g1i2E05chD6tofkj+XdyhHAyMmleEQoNDWXPnj0AfPPNN3Tv3p0OHTowZMgQ/vrrL+Li4hg1ahSJiYm0adOGhISEHOtp2LAh1atX5/Tp00BWa9D06dNp3749//nPf3jvvfeYPXs2AMnJyUyaNIngKLkBfgAAIABJREFU4GA6derEnDlzUNWs/wwOHTrEgAEDCA4OZuDAgZw4cSLX2H18fJg4cSKKorB+/XoA+36WLFnC4sWLOXr0KO3bt6dXr15cvnyZGTNmMH369Hw7f0I8CNPcn4mhHMn4kUAZIqlKNJUx4YICWDBiohTeJOBOvL3huhTX0JDVdaSi5XiQjhEDe7G3TnXeXr+bcgnJuJoteGWaafXnRSJjahIT5c8rPV8iuoyOSH9PPuvcgjRPL9xVLed8SrHOpRJ/tvkeU8QdnoD6fh+UfgEqvgS7jsNHa2DwfPh0I7SeADuOQr1R4NIbjH2y/j55uaBPoxDFQknpZnLKZOaGy5cvs3DhQpYsWcKOHTto0qQJs2bNws/Pjzlz5uDt7c2ePXvw8fHJVtZisbBnzx7OnDnDY489Zl+fmZnJ9u3b6d27t8P2U6dOJSUlhQ0bNvDtt9/y66+/8r///Y+rV68yZswYBg0axI4dO+jfv789kcqNVqulefPmHD3qOP/GSy+9xIsvvki7du3YvXs3a9euJSAggGnTpjF+/PgHPFtC5A9TTCagtS/bMAAazBgBSKc0KjoUwISvfTsrWm7cB5YmguOVKoKisKxDC/Y2eYwn/7nG80cvUONyLNoEA0aThepXEgg+cJov2z3O7rrVSHMxkOzubq/TrNeRYnTh7Lfncg7WZoMX5kFMEkTEwZAF8NXum99bbfDqEvjzEpgskGnO+nvcV/lzsoQQhcIpu5luMBqNmM1m1q5dS8eOHRkyZAgvv/xyrtuvXr2adevW2ZcrVqzIW2+9Rb169ezrOnfujF6vR6/X29eZTCZ2797N8uXL8fLKetPvrFmz0Ov1bNmyhaCgIIKDgwHo2LEj3333HTt37qRXr165xuLl5UVkZOT9HnqBOn78OCaTqVD3GR4eXqj7ux/OECMUfJzVUjIBD25/pDOJsrjk8ORSOh5osWDGQDN+woIeV9Lo+X82Pm/Zmd8rlkJnteGXbuKUnyflriY5lNeoYFVvDgY+6+tOYGJa1oKq4pZp4pwmkdScjtum0shqtademRkZpJfz59bbmxSseNxWLCE+gTPX65PfPX9JnPcuKCioAGt33taYWzl1MuPv78/cuXNZsWIFK1euxNvbm2HDhvHEE0/kuP2NgcN3q/N2SUlJmM1mypQpY19XsWJFAK5evcr+/fvtyQxktfo0atTojvtJSEiwDwAubho0aFCo+wsPDy/gf6wPzhlihMKJM97zB3xTr5JAWbJaWlRUdIAGBRUtaZjxQsGGKzHoScWGhiRK4UYSOswAdPjnOPNXfs/i9h3xS04l1uiGe7qVJG939jSqSovjF4jw9+REXU8WL/uSIf0Hcbh6OTK1GixkXbzc0zO4WLsCPUe2RqvLpaF52UgYvggMOlz+MwqX+pWhw7tw+gr0bYPHm0/BU9Ph3LWs7auUwWfhSILqVZbfPZ9JnKKgOHUyEx8fj5ubG5999hmZmZns3LmTd999N8fBvA/C19cXvV5PdHS0vctq//79JCYm4u/vT6dOnZgyZYp9+4iICLy9vXOtz2azceDAAQYMGJCvcQpRGFxfboZp8iYq8g8mDFwjEAAjKRi0CulWF5KvJzMqJgzoSaAcXO+RT8AXEy6gN5OqNfDvw/+QqddyzTWVwxXKgaJwoZofk/5cgCHKxKAfvLn4/PN8e/RXolcl8UftaqQ+VokK5lSCq2dS7puuuScyAM+2yfrc6q/PHJdPzc/XcySEs3DmcTK3KtbJTFxcHFFRN9+6azAY8PW92Qd/5coVRowYwaJFi6hduzY+Pj4YDAZcXV0xGAyYTCbMZrNDl9H90Gq1dOrUiYULFzJ58mQyMjKYPXs2zz77LJ07d2bgwIEcOHCApk2bcvToUcLCwvjkk09o1qxZtrpiY2OZN28eer2e7t27P1BcQhQFl3e7oo2Jw7riV/RahXL9a2B7IRi9kolSwRelzDis6ACFBCqQ1Xqj4OObAP9qAb/9ia1dZfxe68PlY54MHbycs+XKcKpSOconJmPRaCidlAaXvoDIWHS1ylPN1QXVplLh/2IIKu2GLsD9LlEKIfKipDzNVKyTmVdeecVhuWHDhixdutS+XLduXUaOHMm4ceOIi4ujXLlyTJs2DQ8PD2rWrEm1atXo0KED33zzzQPHMm7cOGbOnEmvXr1QFIVevXrRs2dPAD766CM+++wzLl68iI+PD2PGjHFIZN588000Gg2KouDp6Unz5s1ZtGgRRqPxgeMSorApioJ+3nMw7zng1qHAWZLxxbEf3kbpDX1wC816BHrzypXUqlWLgKCqfBoEJ4ZoMFgsoCh4mMyoQKKHK9pSnlDG6+Z+NQouDUoX6LEJIZyTot54vliIIuIM/dPOECMUjzhjdONJtd7sZtWTSXl1sn155fVkJigoCGuKmf/zms8/VcpxsezN8Wpudf14eWnjQo07J8XhfOaFxJm/nCXO/HBBmeqwHKjmz/xqhc2pH80WQhQ/RjWVm43XKkZtRq7baj30qE0D8UlIgev3VTodPPthnYIPVAhRYhTrbiYhhPMxKa5kTYtnQcGGrke9O25ff1cPrn19mjIJFsxVvKnWyh+vAOmCFaIwyABgIYTIgbVCWbhownq94VetXf6O22vd9ZR7uQ7lCiM4IUSJJN1MQoh85TG7x80FnYLr848WXTBCiLtQbvs4J2mZEULkK9enalP25+fJ/C0C105VMdQvc/dCQogiUVKeAJJkRgiR74xtK2NsW7mowxBCPCQkmRFCCCEeUiVlALCMmRFCCCGEU5NkRghRoDadtfHR71aiU21FHYoQ4jYqisPHWUk3kxCiwDz3g4WVJ7P+fmevyuVhRRuPEMKRMycwt5KWGSFEgbmRyABYVBi1U1pnhBD5T5IZIUSh2XCmqCMQQtxKve3jrCSZEUIUiNj07JfGdGsRBCKEKPEkmRFC5LvT8SpVvsg5c7E58+2fECVOyZgBWJIZIUS+2nrORsuVVlLMOX8/5lq3Gy/IFkIUsZLyNJMkM0KIfHMlxUa3NTZi0nPfJsbqwfZr3vdW8bUEeGIqdHoP9v+d8zaqCofPwoVr91a3EMLplYhHsy9cuMCcOXM4fPgwVquVChUq0KdPH1q0aMEzzzxj3y49PR2j0YiiZGWfc+fOpXHjxqSlpbF48WJ27txJXFwcPj4+tGvXjqFDh+LtnXXR3bhxI++//z4uLi72+jQaDXXq1OHNN9+kSpUqREZG8sQTT+Dq6potxr59+zJixIi7Hsv//vc/vvrqK+Li4ggMDGTMmDE0btz4QU+REIVi3T+2PA0inPhnFfZlWPmhlzZrxZ+XIDIOTl6GxTvgYjSU8gR/bwgNgs82QVRS1rY7jsG68dCiFoz5D1yJh/d6Z/19+FxWS3m7+pBpgm5BENYdvNwK6pCFcGrO3BpzK6dPZmw2G2FhYYSGhjJ16lQMBgOHDx9m7NixeHp6smfPHgDS0tJo27Ytq1evpnz58vbyGRkZDB06FD8/P2bNmkW1atW4du0an3/+OQMGDOCrr76yJzS1atVixYoV9rLJycm8//77vPfee3z55Zf29du2bcPN7d4vngcPHmT+/PnMnz+fmjVrsnnzZsaMGcO6devw8fG5zzMkROG5lpb3bTedVbmYZKPy6AXwn13ZN0hIgzNR8Pup7N/1nA5aDVivP+odfOLmdyqw+/ry/lPw3rew4a2sxEYIUSI5fTdTQkICERERdO3aFaPRiEajISgoiLCwMMzmXDrtb7Fq1SqsViuffvopNWrUQKPREBAQwOTJkylbtixLlizJtaynpyfdunXjzJn8ed40KiqK/v37U6tWLTQaDT169ECr1XL27Nl8qV+IgnYm4d62j4gz5ZzI5IU1j3PWWG3w1DTIMN3ffoQowUrKo9lO3zLj5+dHUFAQI0aMoFu3bgQFBVGvXj169uyZp/J79+6lQ4cOaLXabN/16NGDxYsX8/rrr+dYNiYmhm+//ZamTZs+0DHc0L17d4flI0eOkJqaSrVq1fKl/rw6fvw4JlPhXvjDw8MLdX/3wxlihKKN83xUIJD3VsS/T/1DCwrhGQqTlaM/78fi73HPReV3z18S570LCiq4VkXpZipG5s6dy5o1a9i1a5e9u6d9+/aMGzfurt0zcXFxlCpVKsfv/P39iY2NtS+fOnWK4OBgrFYrZrOZUqVK0aFDB4YOHepQrlu3btnqWrRoEbVq1crzMZ09e5bx48czbNiwQu9iatCgQaHuLzw8vED/seYHZ4gRij7OdmkW9vye9+2Dm9dDeaYlfLe/4IICaFqdhl3a3XOxoj6feSVx5i9niVPcVCKSGRcXF/r160e/fv3IzMzkyJEjzJ07lylTpjBr1qw7lvXz8yMqKirH765cueKQ6DzyyCOsWLECVVXZsWMH06ZNo1mzZnh4ON7tbd68+b7GzNzw22+/8dZbb/Hcc8/xwgsv3Hc9QhQ21+wNnLkKrghVvDWweiz89jcs2Arf74P027qH9Vqw2HB4nvvTF7IG+b68EBLTYEAwvPPfm5PYuLuAXgc6LTzVDBYNf9BDE6JEkpaZYmL79u3MmzeP9evXoygKLi4uNG/enMGDB981kQEIDg5m7dq1DBo0CIPBYF+vqiqbNm2ibdu22cooikKnTp2IjY1l4sSJLF++nCpVquTL8WzYsIGZM2fy1ltv0bVr13ypU4jCUttfIS8975Nrn+ft7tVvrmhRK+vz1Sg48A8Y9VDJH45fgLqVYNlOGH998H2rWjAqFBQFDsy4WUerWvDm1+DjllVPWRk0L8TDwukHADdr1oy0tDRmzpxJXFwcqqpy6dIl1qxZQ5s2be5avnfv3nh4ePD6669z9uxZbDYbERERTJo0iejoaIYMGZJr2T59+lCnTh2mTJmCzfbgL9A7cOAA06dPZ/bs2ZLICKfUo7qGmnfJIcpokggJSESj5HJH2KwmPFoFfD2gbT3w94JxT8GJ2fDLB7Dnw6xE5nbtG8Dv02Hbu5LICJFHMgC4mPDx8WHJkiV8/vnn9OnTh7S0NPz8/AgJCbljInKDwWDgiy++YOnSpYwZM4bY2Fi8vb1p27YtK1asuON4FUVRmDhxIn379mXVqlUEBwcD0KVLl2zbPvroo8yfP/+OsSxfvhyz2UxYWJjD+unTp9OqVau7HosQRc2gVTj2gpb//qXyyg4bGTm80eCTstvQKI/ce+X1Kj94gEIIB9LNVIxUqVKF6dOn33EbNzc3Dh48mON3RqORESNG3HFSu9DQUEJDQ7Otr1SpEr/++qt9Obd95MXdkh0hnIFRp/BiA4V2laD6kuwtllrFme//hBDFUYlIZoQQxY+7vmTc8QlRkknLjLhn48ePZ9++fTl+V65cOVavXl3IEQlRcNz02ddV9Sr8OIQQJZ8kM4Xobl1hQpQkngaFjpVhx8Wb6zb9W+HwtqKLSQjhqKR0+koyI4QoMD/21rH6pI0j0SqvNFKo6KnhcFEHJYSwk24mIYTIg961NfSuXdRRCCFKMklmhBBCiIdUSWmZcfpJ84QQQgjxcJOWGSGEEOIhVVIGAEvLjBCi0KWuj+fI8P1c3Xy5qEMR4qGmojh8nJW0zAghCpVun0ri8igSgYsrz9L2p674PFbqruWEECI30jIjhChQyevPcLb5f7nUcwPmK6lEnXG3f6fY4OfN14owOiEedsptH+ckLTNCiAJjiUkn/pkVVDD/g4pCXGIMp6pVpZw2HRerjVg3F85fMPFkUQcqhHBq0jIjhCgw5olr0JuTOMtjXKI+2r0H+Ce1IjFGA7pMC3/7eVH+TDQAqtWGOS6jiCMW4uEiY2aEECI3V+JJ/eUsv61OohyVATCj5aB3cw6U8WXbi114/ORl+h44iX9kGr+23IjLuThMUZnoO1Skwudt8MOKsaZPER+IECXbQ/E006hRo5gzZ47DuhEjRtC8eXOSk5Pt6w4fPkybNm0wm833FcTGjRvp37//PZc7ffo0Tz31FO3atWPr1q00adKE1q1b06ZNG9q2bUu7du0YOXIkp0+fvq+4cnPw4EE6dOiQr3UK4azUNBOWn09juxiftTx9I7aKYdie+5xYVz+Hi2W6TkO8uxFUlQRPM1+3qcDIf7ch9lg8pqhMACw7L3Gh9jdsb76RlcMOkm4uKZdbIURBuWPLTIsWLdi27eZb4dLT0zl+/Dg1atRg//79dO7cGcj6n3uTJk3Q63N4TW4B+vnnnyldujRr165FURTefvttli9fTo0aNQCwWCzMmzePUaNGsWHDBrRabaHGJ0RJpcamYt7+N9Zz8dg++RE1Pg2LxgW3VqXR7v0TBS1pek+iA924YPCifEQqNgV+fqQ8niYzE/fuotdfv+GWmcGuGpUZ27s3X6z4EU9rMqBld63qjB/QEYtOS41ZifSobKN/G08a/nGIAwl6kts3onMV6SUX4kE5c9fSre54NWjRogUnT54kIyOrH/vAgQPUqlWLDh06sHfvXvt2Bw8epFWrViQmJjJp0iQ6depEaGgoX375JaqadVdltVpZvHgxoaGhdOrUicmTJ5OSkpJtn9euXePJJ59kyZIlAFy6dInRo0fTvn17nnzySZYvX46qqixZsoTFixdz9OhR2rdvn2P8Op2O0NBQoqKiSE5OztYClJaWRpMmTYiMjCQyMpJ27drx3nvvERwczObNm0lOTmbSpEkEBwfTqVMn5syZYz8eVVWZN28eISEhdOzYkRUrVtjrPXDgAIMGDaJjx460a9eO8ePH28/h77//Tt++fQkODqZPnz5s3rzZXu7QoUMMGDCA4OBgBg4cyIkTJ+708whRYFSzFct/fsP8yQ5ss7aibj1287v4NFLqTCep3yqYuAaX+BiMpKG1mUjbew1QiVf8OO1Zme5HdxFy4Qf83f/ip1Z18NPoePXPMxgt3hxzeYzfvFpRPtKVi9VK0TfsCRIrxRFZyoX3+gZj0WXdfJzWejD7byNfvrgR9d8f03LQBxwf+CWv/WQtorMjhChu7tgyU7VqVUqVKsWxY8do1qwZe/fupXXr1rRo0YKVK1dis9kwm82cOHGCSZMm8c477+Dt7c2GDRuIj49n9OjR+Pn58cQTT/DNN9/w008/sXjxYjw9Pfnggw/4+OOPmTx5sn1/8fHxvPLKK/To0YOXXnoJs9nMiBEj6NChAzNmzCAyMpJRo0bh7u7OSy+9hNVq5cyZM8yYMSPH+JOSkli1ahXVq1fHx+fufe+pqamUK1eO7du3Y7PZmDx5MhkZGWzYsAGLxcKwYcOoVKkSlStXJikpCY1Gww8//MBvv/3GqFGj6Ny5M15eXowdO5YpU6bQrl07oqKieOmll9i6dSs9e/ZkypQpvPbaa3To0IE//viD119/nbZt25KSksKYMWOYPHkyjz/+OLt372bUqFGsXbsWb2/ve/xZhXgwpueWY/3uCABWzBhIh4UDUV5uT+a0nZij07FiQI/JXsZABsl4YAP2+z9KssGN824VOKbW4UqZAJKMXtg0GlStFr+YJHu5BF0pPNItXC3ry7+GTMArKYNkN5ebwagqZFj5rHFHEgyufLV5Mc8e+ZWgP55hVnvPwjolQpRIJaUT967ttC1atODw4cMA7Nu3j1atWlGrVi10Oh1//vknx48fp2zZshiNRvbt28drr72Gq6sr5cuXZ8CAAaxbtw6A9evXM2TIEAICAnB3dycsLIwtW7aQmZnVT56amsqIESOoW7cuQ4YMAbLG4iQnJzNixAgMBgNVqlRhwIAB/PDDD7nGO3jwYIKDgwkODubpp58mJiYm12QnJyEhIRgMBjQaDbt372b48OF4eXnh5+fHrFmzaN26NQB6vZ6hQ4ei1Wpp3bo17u7uXLlyBYPBwDfffEO7du1ISUkhOjoaHx8foqOznthwd3dn69at/PHHHzRq1Ijdu3fj4eHB1q1bCQoKIjg4GJ1OR8eOHalRowY7d+7Mc+xC5Bfrlr/sf9uu3/OoW7JaZ9SjEShoUNE4XAit6FGwYtFoSTa4oQJprnquepRFSVPxTEhGUdWs9e5Ge7lYDyNJbteXdVqSvFyzEpgbTFawZS1vrvooAIfLV6HxlYv5ftxCPGxsKA4fZ3XXp5latGjBmjVrOH36NKqq8sgjjwDQsmVLfv/9d8xmM61ateLq1auoqkrPnj3tZVVVxcvLC4CrV6/y7rvvOrTE6HQ6rl69CsDFixdp3rw5+/fvJyEhAR8fH+Li4ihdujQ63c0wy5Urx7VruU+ytXTpUvuYmftRqlTWTKRJSUmYzWbKlClj/65ixYpAVteXm5ubQ1w6nQ6LxYJWq+WXX35h5cqVANSsWZP09HRsNhsAs2bNYtGiRUyYMIHMzEyeeuopXn31Va5evcr+/fsJDg6212mxWGjUqNF9H8v9On78OCaT6e4b5qPw8PBC3d/9cIYYIX/irNTQH49fIwDQkNWdc7mqO9Hh4Xg39aHUNhsarChk3dlZ0WNBh5EkDLZMvMxJxLt4o2puXhwNGSYU4JyHK2mVS6Er5YXOorK6ZW1M+lvGsxm0YAOwQYYVt4Rk0vRZyU6FlHg21WrEwQrVmHNtO+HhBf8o98P0uxcGifPeBQUFFXUIxd5dk5lmzZrxwQcfsHfvXlq1amVf37p1a9atW4fJZOKFF17A398frVbL9u3bMRgMQFZCkJaWBoC/vz9vv/02TZs2BbL+R3358mUqVqzIsWPHqFGjBvPnz2fkyJHMmjWLKVOmEBAQQHR0NBaLxZ44REZG4ufnd18Hq9FoHJ64SkxMzLaNomRdfH19fdHr9faWFYD9+/eTmJiIv79/rvs4evQoixcvZvny5VSunPVI6rBhwwAwmUxcvnyZ999/H1VVOX78OG+88QZ169bF39+fTp06MWXKFHtdERERRdLF1KBBg0LdX3h4eLH/x+oMMUL+xalub4Bl4V7UqCR0OitKvfJU7tcy6yHroCAyy5Qjc/rPWCN1aFULOsxoMZOBCxaMtIv5g7/dq3DYWAubJqsB+P/KlSK8SjmOlvLhv9+t59l/v0KTa0l4mKFcQjpVImLYX7eiPQadxUqlhGh0VgvRNis14qOY/+MKml09R/eKVvjqXdAW7CDgh+13L2gSZ/HzUAwABvD29iYwMJC1a9c6JDMtWrTgn3/+4cyZMzz22GMEBATQuHFjPvvsMzIyMkhMTGT8+PHMnz8fgB49erB48WJiYmKwWCwsWLCAsLAw+4DaG09Cvfnmm+zcuZP9+/dTv359SpUqxfz58zGZTJw/f54VK1bQtWvX+zrYwMBAzp8/z4kTJ8jMzOTLL7+0Jy+302q1dOrUiYULF5KSkkJMTAyzZ8+2D+TNTWpqKhqNBhcXF6xWKz/88AOHDx/GYrGgKAoTJ060d72VLl0aRVHw9vamc+fO7NmzhwMHDqCqKkeOHOHZZ5/lzz//vK9jFeJBKG4G9K/9C8P0nmg+/DdKv5YO37u82g6vy+9gSJoNz7XE1rY2mr1v4rZuKLpapXGzpeKfmkSaryc1rl0juqw/pZPNVItKJOzwIZ4+9Tu9//qNQ6U98YlNovaZSE75e9Djz5t3w40vX2LaljXM/2Mz0572Zv30WjT7sBusGQc/vlfgiYwQwnnkadK8li1bsnz5cpo3b25f5+HhQWBgIC4uLhiNWU3AH374ITNnzuSJJ57AarXSqlUrxo8fD8CLL76I2WzmhRdeIDk5mdq1azN79myHrhrI6soZNGgQU6dO5dtvv+XTTz/l448/pkuXLhiNRp5++mn69et3Xwdbv359+vbty2uvvYaiKPTv39/eDZaTcePGMXPmTHr16oWiKPTq1YuePXty8ODBXMu0aNGCjh070rdvXzQaDXXr1qVHjx6cP38evV7P9OnT+fTTT5k1axZubm706dOHFi1aAPDRRx/x2WefcfHiRXx8fBgzZgzNmjW7r2MVojAoHkZ0Xw92XPlkQ9TdfxEz6zTVTl3maN2aGLCR6utJDbOJKteuALBi3UL6V/uVdJ2Bi6UqMuSwC41OnyKocSI7mlbizSrx9JjWGoLrgY9bVt2DZH4nIfJTSRkArKiqWlKORTgpZ2jSdYYYoXjFeX57BLF9V1DWEo/WauWsd1l+r16DIxXq8MGW+VROiiBNZ2RTnU7Et23C829Vx3I+ib/L+uJTykBN36Jv/i5O5/NOJM785Sxx5odflcUOy63VIUUUyYOR1xkIIQpEYMfy/NP/X/z1wxlcLGaaXfmHaqYDlI7P5M/kJvyjr4/Foqfao9VoNKc+Wq0CFdxoWtSBCyGcjiQzQogCoWgUOs1phrmdFu3wpSg+KsqyIVR++w9QtZjMLrhjopQ5NSuREUIUupIyAFiSGSFEgdL3CoJeN5vsk388QrWjNyfN8wquUBRhCSFKEElmhBCFKqm5EfNIP7wOZeLWqjy+Qwt3KgAhxE0lZdCsJDNCiEJneaESVT97OAZYCiEKniQzQgghxENKxswIIYQQwqmVlGRGptAUQgghhFOTZEYIUSRuzNcp83YKUXTU2z7OSrqZhBCFyqbCiwdrcPwnq31diwD4+VktBplvRghxH6RlRghRqL5PrMfxZHeHdb9dhaXHrbmUEEIUFBXF4eOsJJkRQhSqPzLK57j+9yuFHIgQosR0M0kyI4QoVDbbbXd/18fMlHEpgmCEECWCjJkRQhQqVVEdbwEVBUVV2XXJeZu4hXBWzty1dCtpmRFCFCpXxZJtnaooxGUWQTBCiBLhoUpmVFXlyhXpmBeiKFlUbfaVqoqfdDMJUehKygBgp+tmatKkCS4uLmg0GhRFQVEUGjRowOjRo6lRo8Ydy86ZMweA0aNHZ6tLVVXc3d1p27Ytr776Kl5eXgCEhYURHBxMr1697jvm8+fP88UXX3Dw4EEyMzOpWLEiAwYMoEuXLgBs3LiR1atXs2LFCodye/bsYcaMGWzcuPG+9y1EXqmqiqIU/MVWuq9LAAAgAElEQVQsx0GGikIh7FoIcRtbUQeQT5wumQFYvny5PXGxWCzMmzePUaNGsWHDBrTaHO76rktISMDHxyfXuq5evcq0adMYNWoUS5cuRaPRMHfu3AeK9dSpUwwdOpSXXnqJiRMn4urqyu+//87EiRMxm8306NHjgeoX4lba5AyYtBICfOCVELJlCPHJsOcv+L9LkJIBrz+BzaoQW/E9MJkwu3pTdnNftMH1bpZJSYczV2HrYdTUTMye/pgux+MyOhi9tysZR65iKu1HZBKc+jsTF1cNFcpq8C6lZ9e+VK4eSyJDUfCs4UOnEG8iVMd/gzccv+Z4WY24aubHvamkpNk4d8lEi8dceSbEO5/PmBCiJHDKZOZWOp2O0NBQvv76a5KTk/Hx8eH7779nxYoVJCQkULduXSZOnMju3bvZsmULiqJw5coVpk+fnq2ugIAApk6dSkhICHv37qVt27YMHTqUDh060KdPH7Zu3cqiRYtISEigUqVKvPLKK7Ro0QIgx31WrFiRWbNm0bNnT55//nn7flq2bMkbb7zBpUuXCu08iYeA1Ur9nvMhMSNrecth+GHize9PXISgN8B0y5iVBVvJTNPhZlK4Si3UdA3R7b+ibKgPyoa34OxVaPM2RMYBYMEbLel4YMI291ui9eUIV5ryd90ALgWWc0ie3BOTuVjajzTXrDllXH9P4qvLOijvm2P4mWj4YKeJtzsYiIox88q7UVhvmXrm73PJnLtkZtxQ//w5X0IIVE3JaBJ1+mQmKSmJVatWUb16dXx8fNi3bx8LFixg7ty51KlTh/nz5/POO++wbNkyTp8+jY+Pj72bKSdubm40bNiQI0eO0LZtW/v6jIwMJk+ezLJly6hTpw4bNmzggw8+YOPGjezfvz/HfS5cuJDw8HCGDx+ebT/dunVzWD516hTBwcEO66xWa7aWJCFydewCuhuJDMDOY47ff/CdYyIDkJCKEYigHur1IXQp+OO38TCG6ERYssOeyACoaNBiAkCDitacSXw5d2L9fbK1AqV6eZDm6mpfTnc1YrlLX9Lyv1Te7gD7wtMdEpkbfg3PyL5SCPHQc8pkZvDgwfa+fYPBQL169ZgxYwYA27Zto3v37tSvXx+AIUOGcO7cuXuq38vLi5SUFId1Op0Oo9HI2rVrCQ0NpVu3boSGhqIoSq77TEpKQlVVfH1zvhO91SOPPJLrmJnCdvz4cUwmU6HuMzw8vFD3dz+Ke4ya5AwaKaBcH5SS6evGiVtiLu9qo9xtZVQFVFWDjpu/t4INRWvj0Km/8LemUtmhhBUV7MMErejQm63ozdmfUNJarFlzyFz/t6rYVMx3uQkMNCQRHn4RxaoD/G7ZUxZXF2uh/w7F/Xe/QeLMX8UpzqCgoAKrWy0ZDTPOmcwsXbo018G+cXFx1KxZ077s6upK3bp176n+hIQEqlWr5rBOp9Px+eefs3TpUl599VV0Oh39+/fnhRdeyHWfZrMZrVZLXFwclSs7/i8hIyMDq9WKu7vjtO7FQYMGDQp1f+Hh4QX6jzU/OEOMAKc/vkCNBXvA1x2X/71JUKVbumS+aAjRJvjlT7DaoIwXyicvYP3pT7zm/4yKggU9vsZY9GvH8ljrIGjRFFTXrFaeyDh07kbi9JUxXI7EXLsS7hV8qLknGiXByGFfNzLQgaqiQyUgPhZtahoXy5dFUUFvtVDf4MKpWxIcRyrfD/DHx1iaIEBjSOb7LUnEJ6qogEEPCz+ogI9XYCGdTef53SXO/OUsceYH6WYqpkqXLs21a9fsy6mpqXzxxReMHDkyT+VTU1M5duwYzz33nMP6lJQUUlNT+fjjj7FYLBw4cIA33niDoKCgO+6zadOm7Nq1i0aNGjnUt27dOlauXMm6dese4GiFcJQYXAte75fzl3qd4xia63T/bon2xfZY/3sCffdHMbavcvNLrRZmDLAvaoBSt5VveP3zb8BssqE33JzxwWqyYbPa0Bm19tZU90+SSMPNsRJV5dFSCj7GmxfWJzp68kRHTwBMZhWDvmRcdIUQd5aUlGR/ojivStw8MyEhIWzatImTJ09isVhYtmwZJ06cQK/Xo9frSU1NzbVsREQEEydOpE6dOvaBvTdkZGTw6quvsn//fnQ6Hf7+/iiKgpeX1x33OXLkSNavX8/KlStJS0vDYrGwa9cuPv/8c4YOHYpGU+J+AuGElKBqeH7yhGMicx9uTWQAtAYNeledwyPfHhpzDgEoeN1hnhlJZIQoGKrG8VOUzp49S7du3ejevTtRUVGEhIRw5syZPJUtcS0zTZs2JSwsjAkTJhAbG0vDhg358MMPAejQoQMTJkzgypUrzJs3D4CBAwei0WjQaDR4e3sTHBzM8OHDs8234e/vz5QpU5g5cyZRUVH4+voybtw4AgMDCQwMzHWftWvXZsGCBSxatIhly5ZhNpsJDAxk0qRJdOzYsXBPjhDFQICSxDWyP2It88wI8XD74IMPmDhxIh9//DFly5bl+eef55133uGbb765a1lFVVVnflGmKAGcoX/aGWIE54iz9uwI/raUzba+QyXY0ad43V85w/kEiTO/OUuc+WGT+9cOy91Tn89ly4LXq1cv1q5dS8+ePe1DMJ588knWr19/17LF68ohhCjxYm1uOa6vJvPhCVHobMVsAHBmZqa9ZyQ6OhqbLW9zFMuADSFEofLXJOe4PjX7091CiIdIv379GDx4MLGxscycOZM+ffrw7LPP5qmstMwIIQpVU9dITiaXz7a+irTMCFHoinrQ762efvppKleuzM8//4zFYuH999+ndevWeSoryYwQolC1db/I18lB2d7QO7Zp7u9VE0I8HJo1a0azZs3uuZwkM0KIQuWmsbCq6d98FVubC4kQ6A0ftdE4zDEjhCgcxWnSvMaNG2d7khjg0KFDdy0ryYwQotBV98jkh3Zy+RGiqBWn1xn88MMP9r9NJhObNm3C9Zb3u91JMeotE0IIIcTDqkKFCvZP1apVGTlyJFu3bs1TWbk1EkIIIR5Sxamb6XZnzpwhNjY2T9tKMiOEKHA2VaXyQisRqaCnF5uqnizqkIQQxcytY2ZUVcVsNjN27Ng8lZVkRghR4Nr/10pEStbbss3o6PFrHTJbFnVUQghbMWqYuXXMzI13H3p4eOSprCQzQogC90uk6vDyJVNxmtxCiIdYcehm2r59+x2/79y5813rkGRGCFHwbCrcetGUN8IJIa5bsWJFrt8piiLJjBCimLj9fbZFfzMohKB4PJp9p2QmrySZEUIUOA3g8Lq425MbIcRD7/z583z99dekpaWhqio2m40LFy6watWqu5Yt8R3Xqqpy5cqVog5DiIdaxfgUh2WjSd4qKURxoCqKw6covf7665jNZg4fPkyFChU4ffo0jzzySJ7KOkUy06RJE1q3bk2bNm1o27Yt7dq1Y+TIkZw+ffquZefMmcO3336bY12PP/44Xbp04cMPPyQpKcm+TVhYGGvXrr3veIcOHUqTJk04cOBAtu/GjBlDkyZNiIyMBCA0NJQmTZpw6dKlbNv27duXJk2a3HccQhQHqk1FsVod1pn18h4mIYoDm+L4KUqpqalMnjyZxx9/nLZt2/Kf//yHI0eO5KmsUyQzAMuXL2fPnj388ssv7Ny5kxo1ajBq1Cist10kb5eQkJBrXXv37mX58uVER0czatQobLashvC5c+fSq1evB4rX29ubbdu2OaxLTEzk2LFjedr29OnT0qIkSoR+71zmYmkfABSbisFsBhUyMvLQOmOzgcnsuC4lHcLPwKEzkJoBFiukZ2Rtd5frgRCi+PLxybpOBAYG8s8//+Dl5ZXju5py4jTJzK10Oh2hoaFERUWRnJwMwPfff8+TTz5Ju3btGD58OJcvX+brr79my5YtrFq1ivHjx+dYV0BAAFOnTuXs2bPs3bsXyGpZudGas3XrVp566inat2/PgAED+O233+xlc9rnDR07dmTXrl2YzTcvxD/++CNt2rTJFkOHDh2yPZq2ZcsW2rdvf59nSIjiIcNiY5VXWVSNBr3JSunoVB45H4tXagbftVqNarPlXnjG/0D7NLj0gXYTod+n4P0ceD4HTcZC0Fjw6Af6Z8CtX9Z2umegzItgeAZc+4DP89D6Lbgck5UYDVsIAYPgyY+yEiEhHnKqRnH4FKXAwEA+/PBDHnvsMb7++mtWrFiBxZK3LmmnTGaSkpJYtWoV1atXx8fHh3379rFgwQI+/PBDdu3aRZ06dXjnnXd4/vnnCQkJoW/fvkyfPj3X+tzc3GjYsGG25qyMjAwmT57M1KlT+emnn3j66af54IMPUFU1133eUK1aNQICAti3b5993ZYtWwgJCcm2/5YtWxIbG8s///wDZI3z+fHHH+nateuDniohitRL36eDJusy4x+TijHTQpKLEd/4DFLNkDp9b+6FJ3x98+9f/oL/7oGk9LvvNDoRzFbIMENiGuz7G976BtYdgEXbISoBNvwBc364e11CiELz3nvv0aRJE+rWrcszzzzDb7/9xpQpU/JU1mmeZho8eLC9uclgMFCvXj1mzJgBwLZt2+jevTv169cHYMiQIZw7d+6e6vfy8iIlxXGQok6nw2g0snbtWkJDQ+nWrRuhoaEoipKnfXbp0oXt27fTrl07IiMjiY+Pp0GDBtn2rdPp6NixI9u3b6dmzZocOnSIihUr4u/vf0/HkF+OHz+OyWQq1H2Gh4cX6v7uhzPECMUrzvjYskAAik2l38EjVImLZ1utRzhRrixWRSUiMoKUXOJ9zKbm2xPc8VeiiP/rb6rdsi7y3EWu5OFcFafzeScSZ/4qTnEGBQUVWN3F4dHsGxYsWMAzzzwDQL9+/ejXr1+eyzpNMrN06VJq1KiR43dxcXHUrFnTvuzq6krdunXvqf6EhASqVavmsE6n0/H555+zdOlSXn31VXQ6Hf379+eFF17I0z67du3KsmXLyMjIYOvWrXdsaenatSvvvfceI0aMYOvWrXTr1u2e4s9POSVcBSk8PLxA/7HmB2eIEYpfnCvr2fCbY+Hlnw8Qtmc/AJ3//oclLR6jdmoyj8weiqLNpYF4WBf4/PpYshplIcAP9v519526GiD9ejKuAJX88Z07HN8aAbDvEmw+BI2rUv6jlyjv73XHqorb+cyNxJm/nCXO/FDUTzDdSlVVnn/+eapWrcozzzxD586dMRgMeSrrNMnMnZQuXZpr167Zl1NTU/niiy8YOXJknsqnpqZy7NgxnnvuOYf1KSkppKam8vHHH2OxWDhw4ABvvPEGQUFBedpnQEAAtWrV4ueff2br1q3MmjUr1xgaNWqEzWbj0KFD/Prrr4wePVoGAAun523UEOijoU5ElH2d0WLlmrsbwUdfzD2RAVjwMkzum9VVVKNc1jqTGVIy4Nu9UMkf2taFa0lZ89ZUKQNaTdZrE8yWm69P0N9ymdv0dlYdBn0BHK0Q4kG88cYbvPbaa+zZs4e1a9cyY8YMunbtyoQJE+5a1inHzNwuJCSETZs2cfLkSSwWC8uWLePEiRPo9Xr0ej2pqam5lo2IiGDixInUqVOHFi1aOHyXkZHBq6++yv79+9HpdPj7+9tffnWnfd6qS5cuLF26FA8PDypWrJhrHDembJ42bRqNGzfG3d39wU6KEMXEn4O1rG9QG8v1wYVn/X1Z2+xRtB4udy9c2vtmIgNZSYifJwwPgR5Nwcs96/ua5bOSFs31ZMagz1rW53C/JomMEHbF6dFsAI1GQ/369WncuDG+vr4cPHgwT+VKRMtM06ZNCQsLY8KECcTGxtKwYUM+/PBDIOtJoQkTJnDlyhXmzZsHwMCBA9FoNGg0Gry9vQkODmb48OHZHgHz9/dnypQpzJw5k6ioKHx9fRk3bhyBgYEEBgbmus9bdezYkU8++YTXX3/9rscREhLC8uXLCQsLy4ezIkTxYNQp/Fa9Et1Gv0jVmDj2VQ8kTVciLj1CiHz0448/smbNGo4cOULXrl2ZOnUq9erVy1NZRVVlXnFRtJyhf9oZYoTiG6fuo3Sst7RaumRmkjGx+Lc+FtfzeTuJM385S5z54asq3zssDzj/dBFFkjVRbO/evenWrRtGo/GeysrtkRCiwLmbLCTdksxYtTIDsBDFQXF6mikv72DKTYkYMyOEKN6qR0Y7LLtnFu6j/0KIkk2SGSFEgTNA1gy811WMScp1WyFE4bEpisPHWUk3kxCiwDV5RE/SxRhSjQZcLBZKpyUXdUhCiBJEWmaEEAVu3uuVCEqKpt6VqwRdvMzoJ3OfLkEIUXhUxfFTlKKjoxk6dChdunQhJiaGwYMHO8zndieSzAghCsWK/zRk0/J6hD51iooVnLc5WwhRMCZPnkzHjh1xcXHB29ub2rVr8/bbb+eprCQzQohCc/tcTkKIoqUqisOnKEVERNC7d280Gg16vZ6xY8fmeSZ8GTMjhBBCPKSKOoG5laIo2G55UCAlJcVh+U6kZUYIUag8IpN4tN3H4NEXdh8v6nCEEMVE586deeONN0hOTmbVqlUMHDiQkJCQPJWVlhkhRKEKHbsd+71g+3fBtubmSyGFEIWqqAf93mrYsGGsW7cOm83Gvn376NOnD88880yeykoyI4QoWn9dgrqVizoKIUQRGzduHDNmzKBnz573XFa6mYQQRSs6oagjEOKhpWoUh09R+uuvv7jf10VKy4wQomj5ehR1BEI8tIrTAOAyZcrQvXt3GjZsiLv7zRfR5uXxbElmhBBFS83b0wpCiJKtcePGNG7c+L7KSjIjhChaGnmDthBFpai7lm41cuTI+y5b5MnMhQsXmDNnDocPH8ZqtVKhQgX69OlzXwOA8mLZsmWcO3eO999//47bbdy4kdWrV7NixQoAbDYbq1evZsOGDURERGA0GmnVqhUjRozA398fgNDQUMaNG0ebNm0c6urfvz+9e/cmNDT0rvGtXLmSFStWkJaWRtu2bZkwYQKurq73ebRCOIEL0dCgalFHIYQoYrn9P3Ljxo13LVukyYzNZiMsLIzQ0FCmTp2KwWDg8OHDjB07Fk9PTzp06JDv+xw0aNB9lXv33Xe5dOkS77zzDrVq1SIhIYFZs2YxbNgwVq5cicFgeODY9uzZw4oVK1i4cCGlSpViwoQJLFy4kDFjxjxw3UIUtj+uWHhrD3QOhHHN73CpuRRbeEEJIRwVozEzkyZNsv9tNpvZtGkTlSpVylPZIk1mEhISiIiIoGvXrhiNRgCCgoIICwvDbDazaNEizp8/T3x8PCdOnKB69epMmDCBWrVqAXDo0CFmz57NxYsXCQwMZOzYsdSvXx+A06dPM2PGDE6ePImvry/Dhg0jJCSERYsWcebMGWbMmEFCQgKffPIJR48eJS4ujkqVKvHmm2/SqFEjhzgPHTrETz/9xPr16ylVqhQAvr6+TJo0iXfeeYdLly5RvXr1Bz4fmzdv5sknnyQwMBCA4cOHM3z4cMLCwtBqpSleFE+jdlqZd1jFBhg0sLcvdF0DcZlZ3++8COP3WCjjCr90SOSR2yt4ZTEMz9vEWEKI/FWcupmaNWvmsNyqVSv69u3L8OHD71q2SB/N9vPzIygoiBEjRrBo0SIOHjxIeno6PXv2pGvXrgDs2LGDXr16sXv3bh5//HFef/11zGYzV69eZcyYMQwaNIgdO3bQv39/Ro0aRWJiImazmdGjR9O0aVN27tzJ1KlTmTp1KufPn3fY/9y5cwH47rvv2L17N40aNWLevHnZ4ty/fz8NGza0JzI3GAwGpk2b5pDITJgwgeDgYIfPqVOn8nQ+zp8/T9WqN5vbAwMDSUlJITo6Ok/lhShsP56zMvd6IgNgskHzlTcTmVtdS4cXPrtC8bl0CiGKs/j4+Dy/NbvIx8zMnTuXNWvWsGvXLr788ksA2rdvz7hx4wBo2rQpnTt3BrK6iFatWsXRo0c5ceIEQUFBBAcHA9CxY0e+++47du7cSeXKlUlPT2fw4MFoNBrq1avHkiVL7GNbbnjllVcwGo3odDoiIyPx9PTMMXFISEjA19c3T8czderUHMfM5EV6erq9hQqw/52RkZGn8vnl+PHjmEymQt1neHh4oe7vfjhDjFC4ca46UxYIcFinokIuKYsuhyeXVOBQMT638rvnL4nz3gUFBRVY3cXp0ezbx8xERkbSu3fvPJUt8mTGxcWFfv360a9fPzIzMzly5Ahz585lypQp1KpVy6G/TKvVUqpUKWJiYrh69Sr79++3JzMAFouFRo0a4e7ujr+/PxrNzYanG11Tt4qJieGTTz7h3LlzBAYG4u3tneNLrfz9/Tl69GiO8cfFxeHn5/cAZ+Amo9FIZubNW9obSUxhDwBu0KBBoe4vPDy8QP+x5gdniBEKP85pta0s+9xxkqtKHgqXUnLe3tMte3epQsFerB+E/O75S+IUd3LrmBlFUfDz88vzEI4i7Wbavn07TzzxhH3GPxcXF5o3b87gwYPtXTO3tpRYLBZiYmIICAjA39+fTp06sXv3bvvn22+/pX///pQpU4aYmBiHxOS7777jxIkTDvu/0SW0Y8cOli1bluuA45YtW3L06FFiYx0HKprNZp599lk2bNiQL+ejatWqXLhwwb584cIFPDw8KF26dL7UL0R+K+2u5fxLCk/XgKAyMKMNXBymY0svx+0eKw0fPq6w+ZN63N/8nkKIgqAqGodPUVq3bh3NmjWjWbNmNG3alOrVqxMWFpanskXaMtOsWTPS0tKYOXMmgwYNwtfXl8uXL7NmzRp7V82+ffv4/fffCQoKYsmSJfj4+NCgQQP8/PwYOHAgBw4coGnTphw9epSwsDA++eQTGjdujJeXF8uXL6d///6cPHmSBQsWsGzZMof9p6amYjQaURSFc+fO8dVXX2GxWLLF+eijj9K2bVtef/11Jk6cSM2aNbl69SozZ87E29vb3g32oEJCQvjoo4/417/+RdmyZVm4cCEhISEOLUxCFDeBPlq+u20mha7VdKhvQKpJxU2fdZeVqwMfFWyAQohcFYcBwO+++y5RUVGEh4cTFxdnX2+xWLh06VKe6ijSZMbHx4clS5bw+eef06dPH9LS0vDz8yMkJIQhQ4awbNky6tevz/Llyxk3bhy1a9dm9uzZaLVaKleuzEcffcRnn33GxYsX8fHxYcyYMfbR0J9++inTp09n+fLl+Pn5MWnSJIfBtZDVMjNr1iw+++wzSpcuzRNPPMGCBQtISMj+rpj333+fZcuWMX78eGJiYnB3d+fxxx/nzTffdBjn8iDatm1LZGQko0ePJjk5mccff5xRo0blS91CFAV3Qx4ulFfiCz4QIUSx9fTTT/8/e3ceF1W9/3H8NcOwCcoEqLgnWlZqaQPovQpimuKCGpULNyWXMpfAJS29Wmq/NHO5LqmhlEtqLlEu997U3Iq6moJgkpnWxQ1FRARE1ll+f3idnMBExTkzw+f5eMzjcs6c5T3H4H7m+/2e7+HUqVP88ssvdO3a1bzeycmpzN3Ft6My3etTnazg1tuoheOyh/5pe8gI9pHTpIqwHB787TsQ/JRScf6UPVxPkJyVzV5yVobFup0Wy68ndb3Nlg9eRkYGfn5+d96wHIoPABZCVHUyh5IQAi5evMj06dMpKCjAZDJhNBo5f/48+/fvv+O+UsxY0aBBg0hLSyv3vdatW5vnvRGiSimy7jQAQohbKD9kxmzKlCn07t2bnTt30r9/f/bs2VPhMak2XcwMHz5c6QiVas2aNUpHEML2aD2UTiBElWVL88yoVCpeffVVrl69ir+/P+Hh4Tz//PMV2ldukxFCKKtZfaUTCCFsgIfHjS82DRs25NSpU7i5uVX4bl6bbpkRQjieElcnXIsNNxacnaCGtMwIoRRbuDX7pieffJIxY8YQExPD8OHDOX36NBpNxcoUKWaEEFYV/8lz/OVUCY3r1oVhzyodRwhhIyZPnszRo0dp3LgxkydP5j//+Q/z5s2r0L5SzAghrC67Z0saV5FbX4WwZbY2ZkatVrNhwwYiIiLw8vLC39+/QvvKmBkhhBCiijKpVBYvJcXHxzNp0iTi4uK4du0aI0eOZNOmTRXaV4oZIYRV5ac6c3pTHiU5xXfeWAhRZaxdu5aNGzfi6emJj48PX3zxBatXr67QvlLMCCGsZkv4PprOy0O7MI2EOmsxFJZ9FpoQwnpsqWVGrVbj6elpXq5Tpw5OThWbVFOKGSGE1bjsO0u+mxvXXV0p1LiQNCxB6UhCCBuh1Wr5+eefzQ+m3bZtG15eXhXaVwYACyGsJt/NFZXRhEmlwk0P547nEaR0KCGqMKVbY241efJkYmJiOHv2LO3bt8fV1ZWlS5dWaF8pZoQQVpNbzY3audcBKFWrOdq8ARWb31MI8SDYUjHTpEkTtm7dyunTpzEYDDRu3BhnZ+cK7SvdTEIIq1GZTOafnY1G3EtkzIwQVd3UqVPNP+fm5tKkSRMeffTRChcyIMWMEMKKvm7VGMP/vgl+27wh10pt51uhEFWRLQwATk1NNf88dOjQezpGlepmCggIwNXVFbVajUqlQqVS0bJlS8aMGUPTpk3L3Sc4OJg1a9bQuHHjez6v0Whk06ZNbNu2jfT0dNzc3PjrX//KqFGj8PX1BSA8PJyJEycSHBxsse/AgQPp27cv4eHh93x+IWxF8sN+fNvyYTyKSzjnXZ2ZBxKVjiSEUJjplhbbW3++G1WuZWb16tUkJCTw7bffsmfPHpo2bUpMTAwGg6Hc7RMSEu6rkAF455132LFjB2+//Tb79+9nw4YN6PV6XnvtNUpKSu7r2ELYk5o5hahKTeS5uFI38zr9d3+K6exlpWMJUWWZ1CqLl9JU99g6VKVaZv5Io9EQHh7O2rVruXbtGgkJCWzdupXS0lLOnz/PqlWreO6559iwYQNNmzYlKSmJhQsXkpaWRp06dRg3bhxt27bFYDDwySefsG3bNoqKimjfvj3jx4/H09OTI0eOsG/fPrZu3SeJTXsAACAASURBVIqPjw8ADz30EFOnTuXtt9/m3LlzNGnSROErIQRgMECbiZByBmrWgKcehi6tYFyv+z60yWDkC9/PGOpZjfS6PqirFaEuzaFucRaGRtFoTJ/df34hxF2zhQHARqOR3NxcTCYTBoPB/PNNWq32jseo0sVMXl4eGzZsoEmTJuaLdfToUZYsWcITTzxhMXlPdnY248aNY/z48fTo0YPvv/+eCRMm8O9//5svv/ySffv2sWLFCqpXr87//d//MWfOHKZPn86BAwd46qmnzIXMTS4uLrz//vsW6yZPnlxmgqDCwsIH9OmF+INHR8N/L934OSMHMlJgZwrkFcC0/vd16K91W3Eygm9eAb55BTQoOU3roiRKVWqcTcWYRq1AteSVSvgQQgh7c/LkSdq2bWsuYNq0aWN+T6VS8fPPP9/xGFWumBk6dKi5GcvFxYXmzZvzwQcfmN/39fUlKKjszBffffcd9erVo1evG99SQ0JCWLZsGc7OzmzdupXRo0fj5+cHQHR0NL1792by5Mnk5OTw0EMPVSjbzJkzyx0zI4RV3Cxk/mjb4fsuZorSCiz6tK9obowVczYZb6z47DuQYkYIq7OFlpkTJ07c9zGqXDHz8ccf33awL1CmBeWm7OxsateubbGuRYsWAGRkZPDOO+8wffp083sajYaMjAx8fX05evTobY/p7e19tx/hgTt27JjVx/IkJSVZ9Xz3wh4ywr3nfLKGG855RWXWX2hVh4v3+dlVtZ3Iz1HjUVwKgF/pRYv3s1vX57SNXl9H/3e3Nsl593TyhPk7qnLFzJ3cbvBRzZo1yczMtFj38ccf07lzZ3x9fZkyZQqBgYEA6PV6zp8/T/369fnLX/7CmjVruHLlikWhVFpayoABAxg1apS5tcdWtGzZ0qrnS0pKsvlfVnvICPeZ8+wKaPgK5BWBRgWBj0DPAOpOfoG695mr9fHWzNPtBjXUKL1Cx5MnAbjZK+6z+//wsYFviH9UJf7drUhy2h5baJmpDFXubqZ71a5dOy5evMi///1vDAYD3377LevWrcPLy4uePXuyYsUKsrKy0Ov1LF26lOjoaEwmE08++SQhISGMHz+eU6dOATdaciZPnoyXlxddunRR+JMJ8T9eHpC7HkxfQGk8/Od9mPxCpRxarVEz4WgXTvs+RJF3dX6s25yz2jqUoEZ1YBY4yB9UIeyNLcwzUxmkZaaCtFotCxYsYP78+cyePZt69eoxd+5ctFotgwcPprS0lJdffplr167x2GOPsWDBAjSaG5f33Xff5ZNPPuHNN98kKysLDw8P2rdvz1tvvYWbm5vCn0wI6zEajBz3bsRFD1/yTcU8Wt2Z6LbNlI4lhLBzVaqYSUz88wm6wsPDy0xOd+s+Tz75JKtWrSqzn0ajYeTIkYwcObLc42o0Gl599VVeffXV2557+/bt5a7/9NNP/zSzEPakhouGYic1RdWq42Koxn8frqZ0JCGqNHtujblVlSpmhBDKUhtN1LlwBecSPRfr+lC3QKYeEELcPylmhBBW0+KnM1TPv3HHVIOzl/nF91GFEwlRtUnLjBBC3CXNLU/Jdi3Rc6mau4JphBAmx6hl5G4mIYT17H3y9+ecnfOpTkM/ZwXTCCEchbTMCCGs5lxLPz7088K9WM/FWlr2j66pdCQhqjRH6WaSlhkhhNX86x8NaOV1gca1DGyLqU61h1yUjiSEcADSMiOEsBqVSkWr9hdp1qwGfs1qKB1HiCpPWmaEEEIIIWyAtMwIIayu1OgY3waFsHdGB2mZkWJGCGE1JpOJmIxuZF2ojuobPQcGqGhTz0npWEJUWSYco5iRbiYhhNVM/MZAlrE6cOOJ2cEbTH++gxBCVIC0zAghrGZNquVyqdQyQihKBgALIcRdKjIonUAI4YikZUYIYTV5pUonEELcylFaZqSYEUIIIaooRylmqkQ3U3p6utIRhBBCCPGAOETLzJkzZ1i4cCHJyckYDAbq1atHv3796NOnDydOnCAmJoadO3dW+nmnTZuGVqtlzJgxJCYm8tprr+HufuMpwEajkdq1a9OrVy8GDRqEWn13dePbb79NUVERH3zwQaXnFsJqLmbDwZMQ/AT4yoy/QtgaR3lqtt0XM0ajkejoaMLDw5k5cyYuLi4kJyczYcIEqlevjpeXF3q93ipZvLy82LNnD3BjPo3jx48zZcoU8vLyiI6OrvBxdu/ezY4dOwgNDX1ASYV4wFLPwJAlcPhX86pPAjpA35FwS7N29YJr8PCb8EZvGN1DiaRCCAdg991MOTk5pKenExYWhpubG2q1Gp1OR3R0NIWFhcTExJCbm0twcDA5OTlcuXKFv//973Tq1IkePXqwcOFCSkpKgBstLZMmTaJnz570798fo9HIkSNHGDRoEKGhoURFRZGamnqHRDeoVCqaN2/OlClTWL9+Pbm5uRXa7/LlyyxZsoRevXrd8zURQlEXs6HlWItCBqDPT4n0+PmIxbonMs7DmSx4/WN4Y6U1UwohuDED8K0ve2X3xYy3tzc6nY5Ro0YRGxtLYmIihYWF9OnTh549e7Jw4UK8vLxISEhAq9UyYcIEVCoV27ZtY+XKlSQlJREbG2s+3pEjR1i5ciVxcXFkZmYyduxYhgwZwu7duxk4cKC5OKoonU6Hk5NThYogk8nE9OnTGT58ODVr1ryn6yGE4iavK3e1d+F1PIuLLNYdevjR3xeW7HiQqYQQ5TCpVBYve2X33UwAixYtIj4+nr1797Jq1SoAOnbsyMSJEy22O3/+PD/++CPz58/Hw8MDDw8PRowYwbRp03j99dcBCAwMNBcSn3/+OTqdztzd07lzZzZv3syePXuIiIiocL4aNWqQn59/x+02btxI9erVCQsLsyiwrO3YsWPm1iprSUpKsur57oU9ZATlc9Z20VP/Nu9pjJYTzZhUv3+fKqruyk82eI2Vvp4VJTkrly3l1Ol0SkeweQ5RzLi6uhIZGUlkZCTFxcWkpKSwaNEiZsyYQWRkpHm77Oxs3N3d0Wq15nV16tThypUr5nE1Pj4+5vcyMjI4cOCAxdgVvV5Pq1atKpzNYDCQl5eHn5/fn26XlpbGZ599xpo1ayp87AelZcuWVj1fUlKSzf+y2kNGsJGcS1vB+sOQb9kKo1er0RZct1inMhpv/KBW4fbTYnQ1vayVskJs4npWgOSsXPaSszLYc2vMrey+mNm1axcffvghW7duRaVS4erqSps2bRg6dCjz58+32NbPz4/CwkJycnLMBU16ejpeXl5oNDcuheqWf1hfX1+effZZZsyYYV53c/uKSk5OxmQy0aRJkz/dbu/evWRnZ9O7d28ASkpKMBqN9O/fnw0bNlT4fEIozskJctfeGAQ8cjkkn4bH65HYqQNLfMMsNjWp1WCMtxgULIQQd8vux8wEBQVRUFDAvHnzyM7OxmQyce7cOeLj4wkODsbFxYWSkhJKS0upVasWQUFBzJ07l4KCAjIzM4mNjSUsLKzcY3fp0oWEhAQOHTqEyWQiJSWFAQMGcPz48TvmMplMHD16lJkzZxIVFYWnp+efbj906FASEhLYv38/+/fvJyoqipCQEClkhH1Sq+HJxvDdLLj+GSTOpe3s8LJFi0olhYwQCnKUAcB23zKj1WqJi4tj2bJl9OvXj4KCAry9venWrRuvvPIKer0ef39/OnXqxLp163j33XeZO3eu+W6hbt26MXr06HKP3bBhQ2bNmsXixYs5e/YsWq2WsWPHEhQUVO72N++aAnBycsLPz49+/frRr1+/B/PhhRBCiPsg88zYkIcffpjZs2eX+56zszOrV6+2WDdr1qxyt502bVqZdW3btqVt27Z33D4gIIDExMSKBa6A4cOHV9qxhBBCCEfmEMWMEMI+aADrTGEphKgIE47RNCPFjJXk5OQQHh5+2/cHDx7MkCFDrJhICOtz18A1qWaEEJVMihkr0Wq1JCQkKB1DCEXV8oBrFZ9zUgjxgNnzoN9b2f3dTEII+zE/FMBkXn64ulJJhBDgODMASzEjhLCaXo9oeMHzGA9pSmnrBz8PdVI6khDCAUg3kxDCqp6rcYK3Ak1VZoZVIWyZPbfG3EpaZoQQQghh16RlRgghhKiijI7RMCMtM0II6zm78Cgl0105PuA0mdv/q3QcIao8GQAshBB3wWgw8uWKczT/7yWapV1i+7gUpSMJIRyEdDMJIawiL6OA+jnXSHyiESYV1M3MUTqSEFWeUWYAFkKIinMyGHAymfjLj//FpIJfGvkpHUkI4SCkmBFCWMX1AiN1M3M4U8cHtclIowtXlI4kRJVnz+NkbiVjZoQQVuFWUkLqI/U4W9eH0/Vqcqa+D0XTtiodS4gqzaiyfNkrKWaEEFZx3cuD69XczMv5Hi4ULjigYCIhhKNw+GImICCAdu3aERwcTEhICB06dGD06NH8+uuvt90nODiYtLS0ez5nYmIiAQEBDBs2rMx7J06cICAggGnTpgGwfft2AgICmDp1aplt9+7dS0BAALGxsfecRQhb4erqRJ3cTPNyk5w0VIWFCiYSQhhVKouXvaoSY2ZWr15N06ZNAdDr9Xz44YfExMSwbds2nJzKPhumMp5u7ebmxs8//0xGRgZ+fr8PdPzqq6/w8PCw2NbLy4tvv/2WoqIi3Nzc/nRbIeyNsaiEGX1/4FypM/+XfoDc7OpojHqa5KRxHW8MVwpw8qmmdEwhhB1z+JaZP9JoNISHh3Pp0iWuXbvG9u3bGTZsGFFRUXTq1Ilz584REBBgbrlJSkpi0KBBBAcH07dvXw4ePAiAwWBgxYoVhIeH8+yzzzJ9+nTy8/PN53F1daVdu3bs2rXLvM5oNLJ7925CQkIsMtWtW5eGDRvy3Xffmdfl5+dz7Ngxnn766Qd5OYR4oIxFJeyvH4vXhQxm7onHo6SEx7JP0TQnDVBhREOO79/J8JxBdq13yag7j+y+n2O8XqJ0dCGqBJk0z07l5eWxYcMGmjRpglarBeDo0aOMGjWKrVu30qBBA/O22dnZjBs3jhdeeIH9+/czevRoJkyYwLVr11i3bh379u1jxYoVbNmyhaKiIubMmWNxrm7durFz507z8uHDh/H398fHx6dMrrCwMIttbxY9zs7OlX0JhLCawt4r+LlWPYYlf4tXaQGFBl9O0IaTBHCJRzDgihcXMVw3UXjZhOHidQo3Hyd/zn+Uji5EleAoA4CrRDfT0KFDUf2v4nRxcaF58+Z88MEH5vd9fX0JCgoqs993331HvXr16NWrFwAhISEsW7YMZ2dntm7dyujRo81dSNHR0fTu3ZvJkyeb92/Xrh0zZszgzJkzNGrUiB07dtC9e3d++eWXMufq2rUry5YtIz8/H09PT7766itGjBjB+vXrK/VaVMSxY8coKbHuN+OkpCSrnu9e2ENGsK2c9c9cpti1Ac5GIyYg3ake52t5ozaaaJCZRRPTz5jKmbQr49dznLKRz2FL1/PPSM7KZUs55Qnzd1YlipmPP/7YPGamPOW1lMCNlpnatWtbrGvRogUAGRkZvPPOO0yfPt38nkajISMjw7zs4uJCx44d2blzJ1FRURw8eJCJEyeWW8z4+vrSsmVL9u/fT2BgIJcuXaJVq1aKFDMtW7a06vmSkpJs/pfVHjKC7eXU/6sB4Y/FsurpvxB15ABHH21I/v/uaMqv5kKDtNMU4QmU4gyU4oJTU2/8Z/VC08BL0exge9fzdiRn5bKXnJWhvC8T9qhKFDN3orpNP2HNmjXJzMy0WPfxxx/TuXNnfH19mTJlCoGBgcCNgcXnz5+nfv36XL582bx9t27deP/99/H39ycwMBB3d/fb5rjZ1ZSdnU1YWFglfDIhlKVpUosG+/5Gt2dWcty9gbmQAcj3dEOPMw/9NBGNvxaMJkwlRlQ1XFGpHeMPrBDCOqrcmJm70a5dOy5evMi///1vDAYD3377LevWrcPLy4uePXuyYsUKsrKy0Ov1LF26lOjoaEwmk8UxdDodBQUFLF++nO7du//p+Tp16sTRo0fZsmUL3bp1e5AfTQircWvvT8OiGdTcNxiNsci8/uHci9RwzcL5iZqo3JxRVXNBrXWTQkYIK5Jbs6sArVbLggULmD9/PrNnz6ZevXrMnTsXrVbL4MGDKS0t5eWXX+batWs89thjLFiwAI3G8pKq1Wq6dOnCjh07zK04t+Pp6UmbNm24dOkSjRo1epAfTQirUqlVuNXyZENAU2b8eze+Bfn8WtMTvbPcki2Ekuy5gLmVyvTHpgQhrMwe+qftISPYds7cM3l8G7KaNSGt0BYWMHn3Fnz+1pkaS55XOtpt2fL1vJXkrFz2krMyvDTIcoLYtWsaK5Tk/kjLjBDCKjQqqJbtTt8DqdQquMql4mY0tuFCRoiqwJ5vx76VFDNCCKtQoWLCwC4k+9cFoEfiL/xT4UxCCMcgxYwQwiqueLqT7P/73XyHHqmvYBohBIDRQW7NlruZhBBW0cBbwyMXrpiXW5y9pGAaIQQ4zuMMpGVGCGE1i4v/y4a9Z3AvKWVIwxLgUaUjCSEcgBQzQgir6brkL1xZu45mjzRD16ad0nGEqPIcZQCwdDMJIaxLrbpxa5MQQlQSaZkRQgghqihHmTRPihkhhNX8+zcDb13qTCuDka1Pm277XDQhhLgb0s0khLCK5Et6enxp4pzBm+2XfHniE4PSkYSo8oyoLF72SlpmhBBW0Xeb5fKJq8rkEEL8zmC/9YsFaZkRQlhF+jWlEwghHJW0zAghrEIeaSuE7XGUAcDSMiOEsAoH+ZsphLBBVaKYSU9PVzqCEFWeyVh23aXr5awUQliNUWX5slcOUcycOXOGcePG0bFjR0JCQhgwYABbtmwB4MSJEwwZMuSBnHfatGksWLAAgMTERAICAggODiY4OJh27doRERHBqlWrMBrv7g92cXExL7/8MgkJCQ8ithCKKNPLZDTSaFmpElGEEP8jdzPZCKPRSHR0NOHh4cycORMXFxeSk5OZMGEC1atXx8vLC71eb5UsXl5e7NmzBwCTycTx48eZMmUKeXl5REdHV+gYv/76K++99x6pqakPMqoQVlf8h2U1JhplZgCNlIgjhHAgdt8yk5OTQ3p6OmFhYbi5uaFWq9HpdERHR1NYWEhMTAy5ubkEBweTk5PDlStX+Pvf/06nTp3o0aMHCxcupKSkBLjR0jJp0iR69uxJ//79MRqNHDlyhEGDBhEaGkpUVFSFiwyVSkXz5s2ZMmUK69evJzc39477XLx4keHDh9OpUyf8/Pzu67oIobiSUgidAh79ofV4+MOXipDfjrP3o+mgeR6GfKhQSCGqNoNKZfGyV3ZfzHh7e6PT6Rg1ahSxsbEkJiZSWFhInz596NmzJwsXLsTLy4uEhAS0Wi0TJkxApVKxbds2Vq5cSVJSErGxsebjHTlyhJUrVxIXF0dmZiZjx45lyJAh7N69m4EDB5qLo4rS6XQ4OTlVqAjSarVs3bqVl156SWZGFfav3zz45jgUlEBKmsUfm6aXL/LVJ+9T71oOGEywci8s36VYVCGEfbP7biaARYsWER8fz969e1m1ahUAHTt2ZOLEiRbbnT9/nh9//JH58+fj4eGBh4cHI0aMYNq0abz++usABAYGUrNmTQA+//xzdDodoaGhAHTu3JnNmzezZ88eIiIiKpyvRo0a5Ofn33E7d3f3Ch/zQTp27Ji5tcpakpKSrHq+e2EPGcF2cjY/9AtutywbnZzMPz+emY6b3nK8TPbGfaTpfKyUruJs5XreieSsXLaUU6fTPbBj2/Og31s5RDHj6upKZGQkkZGRFBcXk5KSwqJFi5gxYwaRkZHm7bKzs3F3d0er1ZrX1alThytXrpjH1fj4/P7HNCMjgwMHDpiLGQC9Xk+rVq0qnM1gMJCXl2dX3UYtW7a06vmSkpIe6C9rZbCHjGBjOcc/B+NX/b5sMpnvz/6u8WOkPVSTxlcvm9/2fu9lvHXNrBzyz9nU9fwTkrNy2UvOymCw40G/t7L7YmbXrl18+OGHbN26FZVKhaurK23atGHo0KHMnz/fYls/Pz8KCwvJyckxFzTp6el4eXmh0dy4FLd27/j6+vLss88yY8YM87qb21dUcnIyJpOJJk2a3M/HFML+jOsFzevDxu8hMgSSf//dulrNk4CY9+lxPJE1abvggyhoa1uFjBDCftj9mJmgoCAKCgqYN28e2dnZmEwmzp07R3x8PMHBwbi4uFBSUkJpaSm1atUiKCiIuXPnUlBQQGZmJrGxsYSFhZV77C5dupCQkMChQ4cwmUykpKQwYMAAjh8/fsdcJpOJo0ePMnPmTKKiovD09Kzsjy6E7ev6NHzyOnR+qsysedke1fmh4SNwaA6EtlAooBBVm0Fl+bJXdt8yo9VqiYuLY9myZfTr14+CggK8vb3p1q0br7zyCnq9Hn9/fzp16sS6det49913mTt3Lr169QKgW7dujB49utxjN2zYkFmzZrF48WLOnj2LVqtl7NixBAUFlbv9zbumAJycnPDz86Nfv37069fvwXx4IeyIuwoKb51sxmhE419LsTxCCMehMpnkiSlCWfbQP20PGcG2c7rP01P0h782pjds+/uULV/PW0nOymUvOStDuxEZFsvfL7Of8Z23su2/JEIIh6FSUc40wEIIJdnz3DK3kmLGSnJycggPD7/t+4MHD35gj10QwhYYpZARQjwgUsxYiVarlWctiSrNVQPF8igmIWyKdR728+DZ/d1MQgj70N1f6QRCCEclxYwQwirW9nCimnkSYBOruiqZRggB8mwmIYS4K05qFfljnFhY658khKQS1VJ6uYVQml5l+bJXUswIIaxGpVLhqynA3cmodBQhhAORr0ZCCCFEFaV3kGczScuMEMKqVl59irFHG3G92KB0FCGEg5CWGSGE1TjP06M3NYNC8FxswjjeZPFwVyGEdZU6yK+ftMwIIaxG/4eJ82YdkNYZIZRUqlJZvOyVFDNCCMVsO6l0AiGEI5BuJiGEYuSeJiGU5SiTckvLjBBCCCHsmrTMCCEUI8+eFEJZBXY8TuZWVaJlJj09XekIQohyON15EyHEA1SosnzZK4domTlz5gwLFy4kOTkZg8FAvXr16NevH3369OHEiRPExMSwc+fOSj/vtGnT0Gq1jBkzhsTERF577TXc3d0BMBqN1K5dm169ejFo0CDU6jvXjRcvXmTWrFn8+OOPODs707VrV2JiYnB2dq707EIowmSCW74JGo0yakYIcf/svpgxGo1ER0cTHh7OzJkzcXFxITk5mQkTJlC9enW8vLzQ663zkHMvLy/27NkDgMlk4vjx40yZMoW8vDyio6PvuP+UKVNo2bIl8+fPJz8/nxEjRhAfH0///v0fdHQhHiiTyUTnTQZcS4sodna7uZKvRkTBZ4/C19OVDShEFVXiIDMA230xk5OTQ3p6OmFhYbi53fgjqdPpiI6OprCwkLfffpvi4mKCg4PZvn07BoOB+fPnc/DgQdzc3OjSpQsjRozAxcWFadOmUVxczLFjx/D09GT9+vWkpKSwYMECzp49S6NGjZgwYQItWrS4Yy6VSkXz5s2ZMmUKo0aNIioqCi8vrz/dZ+nSpTg5OaFSqcjKyqK4uBitVlsp10kIJfl+aCC7GNxUThYtM/ku1fDZfUzBZEIIR2D3Y2a8vb3R6XSMGjWK2NhYEhMTKSwspE+fPvTs2ZOFCxfi5eVFQkICWq2WCRMmoFKp2LZtGytXriQpKYnY2Fjz8Y4cOcLKlSuJi4sjMzOTsWPHMmTIEHbv3s3AgQOJiYkhNze3wvl0Oh1OTk6kpqbecVtXV1c0Gg0jR46kf//+1K5dm44dO97TdRHClmQX3/jfEqdbvj+pVKicHONboRB2S/WHl52y+5YZgEWLFhEfH8/evXtZtWoVAB07dmTixIkW250/f54ff/yR+fPn4+HhgYeHByNGjGDatGm8/vrrAAQGBlKzZk0APv/8c3Q6HaGhoQB07tyZzZs3s2fPHiIiIiqcr0aNGuTn59/V58nPz+ett95i1qxZTJs2rcL7VoZjx45RUlJi1XMmJSVZ9Xz3wh4ygm3mVNMSI2pcS4oodKv2+3qTCRNwxAYz32SL17M8krNy2VJOnU734A7uIHczOUQx4+rqSmRkJJGRkRQXF5OSksKiRYuYMWMGkZGR5u2ys7Nxd3e36LqpU6cOV65cMY+r8fHxMb+XkZHBgQMHzMUMgF6vp1WrVhXOZjAYyMvLw8/P764+j6urK8OHD2f8+PFWL2Zatmxp1fMlJSU92F/WSmAPGcF2c/7qr6f5Kih0df99pcmEXq1GVc3FJjOD7V7PP5Kclctecorf2X03065du+jVqxcm040ZK1xdXWnTpg1Dhw7l5EnLudL9/PwoLCwkJyfHvC49PR0vLy80mht13a0PvfP19eXZZ59l//795tfGjRsZOHBghfMlJydjMplo0qTJn25nMBjo27cvp06dMq8rLS3F09OzwucSwlY1fkhDwdg/fHdSqZg5cBhc36BMKCGEw7D7YiYoKIiCggLmzZtHdnY2JpOJc+fOER8fT3BwMC4uLpSUlFBaWkqtWrUICgpi7ty5FBQUkJmZSWxsLGFhYeUeu0uXLiQkJHDo0CFMJhMpKSkMGDCA48eP3zGXyWTi6NGjzJw5k6ioqDsWJU5OTjRp0oRly5aZsy1btozevXvf03URwib9oUk7pbV8+xVC3D+772bSarXExcWxbNky+vXrR0FBAd7e3nTr1o1XXnkFvV6Pv78/nTp1Yt26dbz77rvMnTuXXr16AdCtWzdGjx5d7rEbNmzIrFmzWLx4MWfPnkWr1TJ27FiCgoLK3T43N5fg4GDgRnHi5+dHv3796NevX4U+y6RJk5gzZw7h4eG4ubnRq1cvhgwZcg9XRQghhKgABxkzozLd7J8RQiH20D9tDxnB9nOq5lrO+dTWBw4Mtt3vVLZ+PW+SlPJA7QAAIABJREFUnJXLXnJWBtUbORbLprn2OR2I3XczCSHsl9ExvhQKIRRmu1+JHExOTg7h4eG3fX/w4MHSpSSqHJW0CwuhMMf4RiHFjJVotVoSEhKUjiGETXncV+kEQghHIMWMEEIxS7oqnUCIKs4xGmZkzIwQwnouDAdXStBgYEMPqOYi36eEUJQ8zkAIIe5OneoaPqm7iWbNmqF7vGrcLSKEePCkmBFCCCGqLDtujrmFdDMJIazKZIJSuSdbCFGJpGVGCGE1K47qefXii3ARHjmq5+Qw+RMkhKIc5HuFtMwIIazm1a/h5kjDUznwaar+DnsIIcSdSTEjhFDMgkSlEwhR1TnG7UzSxiuEUEyBNMwIoSz7rV8sSMuMEEIx8jgDIURlkJYZIYRV5BeX0wxjtH4OIcQtpGVGCCHuj1H+AgkhKoEif0rOnDnDuHHj6NixIyEhIQwYMIAtW7Y8sPN98sknTJ069Y7bbd++nYEDBwKQmJhIQEAAw4YNK7PdiRMnCAgIYNq0aeb9AgICyj3H3r17CQgIIDY29q4yr1u3jokTJ97VPkLYm1O5SicQoqqTAcD3xGg0Eh0dTXh4ODNnzsTFxYXk5GQmTJhA9erV6dSpU6Wfc8iQIfe0n5ubGz///DMZGRn4+fmZ13/11Vd4eHhYbOvl5cW3335LUVERbm5uf7rtnyksLGT58uWsXbuWjh073lNuIWzSlWtg9AD179+hvHOzITEPApoqGEyIKsx+6xcLVm+ZycnJIT09nbCwMNzc3FCr1eh0OqKjoyktLSU2NpZJkybx2muv0b59e6Kiovjll1/M+x85coRBgwYRGhpKVFQUqamp5vd+/fVXXn31VUJCQujduzdfffUVALGxseZWjpycHKZMmUJ4eDjt2rWjf//+pKSklJvV1dWVdu3asWvXLvM6o9HI7t27CQkJsdi2bt26NGzYkO+++868Lj8/n2PHjvH0009X+Pq88cYbnDt3joiIiArvI4Q9qNZgGBqT5SCZ9mdOQuBEOHtZoVRCCEdg9WLG29sbnU7HqFGjiI2NJTExkcLCQvr06UNYWBgAu3fvJiIigv3799O+fXvGjx9PaWkpGRkZjB07liFDhrB7924GDhxITEwMubm5lJaWMmbMGAIDA9mzZw8zZ85k5syZnD592uL8ixYtAmDz5s3s37+fVq1a8eGHH942b7du3di5c6d5+fDhw/j7++Pj41Nm27CwMIttbxY9zs7OFb4+06ZNY+7cuXh7e1d4HyFsXmEhGE24lZaYV6lMRj7e/L/u12FLFAomRBWnUlm+7JQidzMtWrSI+Ph49u7dy6pVqwDo2LGjufUkMDCQLl26ADe6iDZs2MDRo0dJTU1Fp9MRGhoKQOfOndm8eTN79uyhYcOGFBYWMnToUNRqNc2bNycuLg5fX1+Lc48cORI3Nzc0Gg0XLlygevXqXL58+2+F7dq1Y8aMGZw5c4ZGjRqxY8cOunfvbtFadFPXrl1ZtmwZ+fn5eHp68tVXXzFixAjWr19f4WtTs2bNCm/7oBw7doySkpI7b1iJkpKSrHq+e2EPGcFGcxqMtFKpyHd1N69yKy3Fu+g6AJkaPedsMTc2ej3LITkrly3l1OnkCfN3okgx4+rqSmRkJJGRkRQXF5OSksKiRYuYMWMGzZo1o0GDBuZtnZyc8PHxISsri4yMDA4cOGAuZgD0ej2tWrXCw8MDX19f1Lf0xzdr1qzMubOyspg7dy5paWk0atQILy8vjMbb3x/q4uJCx44d2blzJ1FRURw8eJCJEyeWW8z4+vrSsmVL9u/fT2BgIJcuXaJVq1Z3VczYgpYtW1r1fElJSTb/y2oPGcG2cxY96W+xXKxxxqhSoVZBrS/fppari0LJbs+Wr+etJGflspec4ndW72batWsXvXr1wmS6MVuWq6srbdq0YejQoZw8eRLAoqVEr9eTlZWFn58fvr6+PPvss+zfv9/82rhxIwMHDqRWrVpkZWVZFCabN2+2GFMDMHnyZEJDQ9m9ezeffPJJhQYc3+xqSkhIIDAwEHd399tue7OraefOneZuMyEElBycZbFsVKtpPvYDyF8PNljICFElOMbNTNYvZoKCgigoKGDevHlkZ2djMpk4d+4c8fHxBAcHA/Cf//yHH374Ab1eT1xcHFqtlpYtW9KlSxcSEhI4dOgQJpOJlJQUBgwYwPHjx2nRogU1atRg9erV6PV6UlNTWbp0aZk7ia5fv46bmxsqlYq0tDTWrFmDXv/nc6rrdDoKCgpYvnw53bt3/9NtO3XqxNGjR9myZQvdunW7v4slhKP5Q598RoNG4O6qUBghhKOwejGj1WqJi4vj8uXL9OvXj/bt2zNy5EiaN2/OuHHjAGjRogWrV6+mU6dOJCcns2DBApycnGjYsCGzZs1i8eLFhIaG8s477zB27FiCgoJwdnbmH//4B4cOHaJz5868/fbbTJ06lcaNG1ucf/LkyXz66ad06NCBCRMm0LNnT65evUpOTs5tM6vVarp06UJubi6BgYF/+vk8PT1p06YNnp6eNGrU6P4vmBAOrE4NpRMIUdU5RtOMynSzv8dGxMbG8ttvv/HBBx8oHUVYiT30T9tDRrDtnNdL9Hguslz3uBaOD7Pdp6rY8vW8leSsXPaSszKophRYLJv+r5pCSe6PTCYuhLAKD5eyRYs8aFIIhTlGw4w8aNKa3nzzTf7zn/+U+16dOnXYtGmTlRMJoSw7ntZCCMfgIL+DNlfMDB8+XOkID8zs2bOVjiCETWmsVTqBEMIRSDeTEMJqXP/wF2dh5T+KTQhxVxyjn0mKGSGE1VwaqaaOUy41nEpZ2w38H7K5xmEhhB2SvyRCCKvxclMzt/ZOmjVrhq551bhbRAibZr+NMRakZUYIIYQQdk2KGSGEEELYNSlmhBBWk7ExmRbD/os6+GuOtZivdBwhhGOM/5ViRghhPSeHf8dPPv6k+vqTluXFhY/Ln3dJCCHuhhQzQgiryXF3x6O0hFqFeVxz9uT0pB+UjiRE1aZSWb7slNzNJISwmtrXr9H4WjYAV12qcdXZqHAiIYQjkJYZIYTV1CzIN//8UEkBBicXBdMIIRyFtMwIIaxGZfq9GdsIGO24WVsIh+Agv4JSzAghrMagNlFidEaFiVKcUTsZlI4khHAANtHNdObMGcaNG0fHjh0JCQlhwIABbNmy5Y77JSYm0qlTxR7uEh4eTrt27QgODiYkJISQkBCGDh3KkSNHbrtP3759b/uU67uxY8cOBg8eTGhoKM8++ywTJ07k7Nmz5vdfffVVNm7cWGa/iRMnEhsbe9/nF8JmVMvBCJTgjJZ0wKR0IiGqOMe4N1vxlhmj0Uh0dDTh4eHMnDkTFxcXkpOTmTBhAtWrV69wsVIR77//PsHBwebzbtiwgTFjxrBt2za02rKP7920adN9n3Pp0qV8/fXXvP322zz55JMUFhby8ccf88orr/DZZ5/h7e193+cQwl582P4ZEms2Jdvdkz4nD9IkPZ92SocSoiqz3/rFguItMzk5OaSnpxMWFoabmxtqtRqdTkd0dDSlpaUUFRXx/vvv06dPH9q3b89zzz3H/v37yz3WkSNHGDRoEKGhoURFRZGamnrb86rVap577jkKCgq4cOECiYmJvPDCC0RHR/PMM8+QmJhIeHg4CQkJAPz666+8+uqrhISE0Lt3b7766ivzsT7//HOee+45OnXqxBtvvEFWVhYAFy9eZNWqVcyZM4fWrVvj5OSEp6cnMTExtG/fnrS0tMq7kELYgV2NniajujclGhc2PRGCWi/dTEKI+6d4y4y3tzc6nY5Ro0bRvXt3dDodzZs3p0+fPgDExcWRlpbG2rVrcXd3Z/Xq1cyZM4fQ0FCL42RkZDB27FimT59O+/bt2b9/PzExMXzxxRd4eXmVOW9BQQFr167Fx8cHf39/UlNTOX36NIMGDeKDDz5Ao/n90pSWljJmzBh69+7NkiVLOHnyJK+99hqPP/44v/76KytXrmTRokXUr1+fpUuXMnnyZJYvX86BAweoX78+TZs2LXP+qVOnWiwvWrSIZcuWWawrKiqiSZMm93pphbA5rc9n0KBUj7veQIrvQzTOuax0JCGEA1C8mIEb/0ceHx/P3r17WbVqFQAdO3Zk4sSJvPjii7zwwgu4u7tz6dIlqlWrRmZmZplj7NixA51OZy5yOnfuzObNm9mzZw8REREATJ48GScnJwCcnJxo1qwZ8+bNw83NDQCVSkVYWBguLpa3ix49epTCwkKGDh2KWq2mefPmxMXF4evry7x584iMjDQXHaNHj6ZDhw6cOXOG3NzccruvyhMdHU2/fv0s1k2cOLFiF7CSHTt2jJKSEqueMykpyarnuxf2kBFsO2fbS1nkVa8BQEDmFUwGV5vOC7Z9PW8lOSuXLeXU6eQJ83diE8WMq6srkZGRREZGUlxcTEpKCosWLWLGjBmMHz+e2bNnk5qaSv369alXrx4mU9lBgxkZGRw4cMCixUav19OqVSvz8syZM81jZspTo0aNMoUMwJUrV/D19UWt/r1XrlmzZubzLlu2jBUrVpjfU6lUXLx4ER8fH7Kzs8s9V05ODjVq1LA4pq1o2bKlVc+XlJRk87+s9pARbD/nf1RfWyyXaDQ2ndfWr+dNkrNy2UvOSuEgY2YUL2Z27drFhx9+yNatW1GpVLi6utKmTRuGDh3K/PnzmTlzJv7+/syfPx+NRsORI0f4+uuvyxzH19eXZ599lhkzZpjXpaenl9vFdLdq1apFVlYWRqPRXHxs3ryZxx9/HF9fX1566SV69+5t3j4tLY369euTnZ3Ne++9x8mTJ3n00UfN75tMJkaPHk1wcDDDhw+/73xC2IuHcvPRq50ocXGm3uUs3I16pSMJIRyA4s0CQUFBFBQUMG/ePLKzszGZTJw7d474+HiCg4O5fv06rq6uODk5kZGRwUcffQTcaHW5VZcuXUhISODQoUOYTCZSUlIYMGAAx48fv++MLVq0oEaNGqxevRq9Xk9qaipLly7Fw8ODHj16sG7dOs6dO2e+Q+rll1+msLCQ2rVr87e//Y233nqLlJQUjEYjOTk5vP/++1y5coXnn3/+vrMJYU9qX7pKvbTLNP7lAjUy83EukQHAQoj7p3jLjFarJS4ujmXLltGvXz8KCgrw9vamW7duvPLKK/z888+89957bNq0iYceeoiIiAh+/vnnMncCNWzYkFmzZrF48WLOnj2LVqtl7NixBAUF3XdGZ2dn/vGPfzB79mxWr16Nt7c3U6dOpXHjxjz88MPk5eURHR1NdnY2jRo1YuHChdSocWNcQHR0NLVq1WLWrFlkZGTg6uqKTqdjxYoV+Pr63nc2IexJodrZ/HORxgWT3kHauIWwVw4yC7fKVN4AFCGsyB76p+0hI9h+zn3VY7nseWNQvLNez5NZJ2hielfhVLdn69fzJslZuewlZ2VQvWd5s4fp7/b5vDTFW2aEEFVHYP4PGAv1qACNUc/Jak8oHUmIqs0xGmakmBFCWI87eTgZjOZlvUYahoUQ90/xAcBCiKrD9IdvgQUeDvK1UAihKClmhBBWc8nj90kkDajwCXtEwTRCCAd5zqQUM0II68lp35ZMt4fIdvXkt2r+PPFJvzvvJIQQdyBjZoQQVtP8q2GsX+nOI3X8CQz7i9JxhBD23BxzCylmhBDW5apCXdM+b/8UwuE4Ri0j3UxCCCGEsG9SzAghhBDCrkkxI4QQQgi7JmNmhBBCiKpKxswIIYQQQihPihkhhBBC2DXpZhJCCCGqKulmEkIIIYRQnhQzQgghhLBrUswIIYQQokJ++OEHBg4cqHSMMmTMjBBCCFFVqRxj0IwUM8KCyWSipKTE6uctLi62+jnvlj1kBNvPqdHc+LNj6zlvkpyVS3LeGxcXF1QPovCopEN+9NFHbNu2DScnJ9q1a8eECRMYNWoUAwYMoEOHDsyfP5/jx48TFxdHZmYmQ4YM4Z///GflnBwpZsQflJSUkJqaavXzKnHOu2UPGcH2czZp0gSw/Zw3Sc7KJTnvTYsWLXB1da3045reuP8y4JtvvmHv3r3Ex8fj7OzM66+/zoYNG+jQoQMHDx6kQ4cOJCYmkpGRgcFgICEhgQ4dOlRC+t9JMSMsuLi40KJFC6VjCCGEuIWLi+0+af7gwYP06NEDd3d3AJ5//nm2bNnC3//+d0aMGEF+fj4AzZo146effuLbb7+t9HE3UswICyqV6oFU/0IIIRyT0Wgss06v11OnTh2MRiO7du3i6aefxtfXl4MHD/LTTz/RunXrSs0gdzMJIYQQ4p61bduWf/3rXxQVFaHX64mPj6dt27YAhISEsGzZMoKCgmjbti2ffvopTz31FE5OTpWaQVpmhBBCCFFhiYmJFi0r4eHhhIaG8vzzz6PX62nfvj0vvfQSAKGhoaxcuRKdTke1atUoLS2lY8eOlZ5JZTKZTJV+VCGEEEIIK5FuJiGEEELYNSlmhBBCCGHXpJgRiktOTuall16iX79+jB07lry8PKUjlSslJYVBgwYRGRnJiBEjuHjxotKR/tSyZcuIjY1VOkYZO3bs4MUXX+S5555j06ZNSse5rfz8fPr27cuFCxeUjnJby5cvp2/fvvTt25eFCxcqHee2PvroI1588UX69u3L2rVrlY5zRwsWLGDatGlKxxB3QYoZobjp06czY8YMNm7ciL+/P59++qnSkco1depUpk6dyvr16wkLC2POnDlKRypXfn4+M2bMsMn/08jMzGTp0qXExcWxfv16vvzyS/773/8qHauM1NRUhg0bxtmzZ5WOcls//PADBw8eZN26daxfv54TJ06wb98+pWOVkZSUxOHDh/nss89Ys2YNmzZt4vTp00rHuq1Dhw5V6sy0wjqkmBGK+/zzz/H390ev15OZmUn16tWVjlRGSUkJI0aM4JFHHgHgkUceISMjQ+FU5du/fz8NGzY0301gSw4dOkRAQABeXl64u7vTqVMn9uzZo3SsMr788kvefPNNatasqXSU2/L19WXs2LE4Ozuj0Wh4+OGHbfK/SZ1OR2xsLBqNhqtXr2IwGMyTq9ma3Nxcli5dyuDBg5WOIu6SFDNCcRqNhl9//ZXu3buTlJREly5dlI5UhouLC927dwduTBC1fPlyQkNDlQ11Gz179uTll19Grba9X+/Lly/j6+trXvb19SUzM1PBROWbOnVqpU/qVdmaNGlCy5YtATh79iy7d++mXbt2Cqcqn0ajITY2lhdffJHAwEBq1aqldKRyzZw5k5EjR1KjRg2lo4i7JPPMCKvZvXs38+fPt1j38MMPs3TpUpo2bcquXbuIj49n8uTJfPLJJwql/POcpaWlvPPOOxgMBoYMGaJQwhv+LKetMhqNFg/LM5lMD+bheVXIb7/9xpgxY4iJiaFhw4ZKx7mt4cOHExUVxdixY/nyyy+JiIhQOpKFLVu2ULt2bYKCgti+fbvSccRdkmJGWE3nzp3p3Lmzxbri4mL2799vbuXo3r07CxYsUCDd78rLCVBQUMC4cePw8vJi3rx55qc/K+V2OW1Z7dq1SU5ONi9fuXLFprtybF1KSgpvvvkm48aNo2vXrkrHKdfp06cpLi6mWbNmuLm50bFjR06dOqV0rDJ27dpFVlYWkZGR5ObmUlhYyLx58xg/frzS0UQFSDEjFKXRaJg9eza1a9fm8ccf5+uvv6ZVq1ZKxyrX1KlTadCgAZMmTbLJLhx7EBQUxPLly7l69Sru7u7s3buXyZMnKx3LLmVkZPDGG28wa9YsAgMDlY5zW+fPn2f58uXExcWhUqn45ptv6NWrl9Kxyri1RXP79u0kJSVJIWNHpJgRinJycmLWrFm89957GI1GatasyZQpU5SOVcaJEyf45ptv8Pf3Nw+s9fX1ZdGiRQonsy+1atVi5MiRDB8+HL1eT+/eveUp7fdo7dq1lJSU8I9//MO8LiIighdeeEHBVGW1b9+en376ib/97W+o1WqeeeYZm21FEvZLHmcghBBCCLsmbeVCCCGEsGtSzAghhBDCrkkxI4QQQgi7JsWMEEIIIeyaFDNCiColIyMDvV6vdAy7VFnXrrCwkKysrEpIJMQNUswIcRfS0tIYMWIEgYGBtG7dml69erF582bz+1988UW5M5vu27ePZ555psz6yMhI2rZtS3FxscX6xYsX88QTT9C6dWvz65lnnmHJkiWV+nkWL15MdHR0pR7zpunTp/PNN99w4cIFWrduTUFBwQM5z93IysoiLCyszPW2F9HR0SxevPiO293uv8P7UZnX7m9/+xvHjh0DIDExkUmTJt33MUXVJsWMEBVkNBoZNmwYLVq0ICEhgaSkJKZMmcKcOXPYuXPnXR/vt99+IyMjg8cff7zc6dM7d+5McnKy+bVixQrWrVvHhg0bKuPjPFBHjhwhLS2NDh06ULduXZKTk6lWrZrSsSgqKqKwsFDpGHapMq9dTk6O+eeAgACuXbvG999/XynHFlWTFDNCVNDVq1c5f/48vXr1ws3NDbVaTVBQEBMmTKC0tPSuj7dx40Y6depEREQE69atu+P2TZo0ISAggJMnT5Z5r3///hbHOHfuHE8++SR5eXmcO3eO1157jQ4dOvDkk0/Sv39/fvvttzLH+GMrzcmTJ2nWrJl5+fDhwzz//PMEBATw4osv8uOPP94265IlS+jbty9wYwbYZs2acf36dX744Qeee+45PvjgAwIDAwkJCWHv3r289957BAQE8Mwzz3DgwAHgRuvCyy+/THR0NK1ataJHjx7m9wD+9a9/ERERQWBgIEFBQbz99tvcnDbr4sWLvPbaazz99NMEBwezcuVKAJ5//nngxkRux48fL5M7NTWVl156CZ1OR1hYGF988YX5vWeeeYbly5fTtWtXdDodw4cPJzc3t9zP36xZMzZu3EiHDh14+umnWbJkCV988QUhISEEBQXx8ccfm7f9/vvviYiI4Omnn6Z3795888035veOHz/OCy+8QKtWrcqcz2Aw8OGHH/LMM8/wl7/8hUmTJpGfn3/bf5ObsrKyGD9+PG3atKFDhw588MEHlJSUAPDWW28xe/Zs87a3tij+8dq99dZbvPPOO0RERNC6dWuioqJIT083/9vd2jJ0/fp1mjVrxvnz5xk1ahQXLlwgJiaGNWvWANC3b99Kb3UUVYsUM0JUkI+PD0FBQQwePJhFixZx8OBBCgoKePHFF+nZs6d5uxMnThAQEGDxGjdunMWxSkpK2Lp1K88//zxdu3bl4sWLJCUl3fbcBoOBI0eO8MMPP9CmTZsy7/fu3Zt//etf5uXt27cTGhpKjRo1mDJlCv7+/uzZs4eDBw/y0EMP8dFHH93VZ79w4QLDhw9nxIgRHDx4kCFDhvDKK69YfMO+6dKlSxw+fJiOHTuWe6zjx4/j4+NjLmxGjx5NvXr1OHDgAD169GDu3LnmbQ8cOMBTTz3F4cOHGTp0KKNGjSI7O5vz588zZcoUpk2bxuHDh1m/fj3//Oc/OXjwIAAxMTHUrFmT77//nrVr1xIXF8d3331HfHw8AN999x1PPPGERa7s7GxefvllunbtysGDB5k9ezazZ8+2KC52797N+vXr2bFjB6dPn/7TVrLvv/+eHTt2sHjxYhYvXkxCQgK7du1izpw5zJs3j2vXrnHq1ClGjBjBa6+9xqFDhxg3bhwxMTH88ssvlJSUMGLECLp27crhw4d58cUX+eGHH8zHX7lyJV9//TXr1q3j66+/pqioiHffffeO/5ajR48GYM+ePWzatIlDhw5VaCbr8q7dli1bePPNNzl48CANGzZk7NixdzzOkiVLqFu3LgsXLmTQoEEA/PWvf+XUqVOkpaXdcX8hyiPFjBB3IS4ujpdeeomDBw8ybNgwgoKCGDduHFevXjVv89hjj5GYmGjx+uPTrXfu3EmjRo147LHHcHFxKbd1Zu/eveZiKCgoiKlTp/Lqq6+WOxV89+7dSU1NJSMjA7jRatG7d28A3n//faKjozEYDFy4cAGtVsulS5fu6nP/85//pE2bNnTu3BmNRkO3bt149NFHy+1eO3z4ME2bNsXd3b3cYzk7OxMVFYVaraZt27ao1WoGDRqEs7Mzf/3rX7lw4YJ524cffpihQ4fi7OxMREQEDRo0YN++fdSq9f/t3XtIk98fwPH3zGmauVZNnVFeMoigrCa1aTozv5aaln90oRIMggiN/rDUboSEGF5CKpOsP4rCvFHD0iAwqf6I7hpRFJGZUm7OS7fF3NTfH9JDS+1rFvSV33mBsD17nvOcc57BPp7zeZ7jxZUrV1iwYAHd3d309PSgUCgwGo20trbS1NRERkYGbm5u+Pn5ce7cuSHBy4/q6+tRq9UkJycjl8sJDg5m/fr1GAwGaZ8NGzYwbdo0VCoV4eHhvHnzZsTytmzZgpubG1qtloGBATZv3szEiRMJDw+nr68Po9FIbW0toaGhxMTE4OzsjF6vJyoqSlobyGq1Su2Pjo5Gp9NJ5VdXV5OWloZarcbDw4Pdu3dTU1Pz05yWt2/f8vjxY/bv34+Hhwfe3t7s2rWLy5cv/7RvRpKQkMDSpUtxdXVl9+7dNDU10dra+svlODs7M3fuXO7fvz+megiCWJtJEH6Bq6srKSkppKSkYLVaefjwIfn5+ezbt4+SkpJRl1NZWcnLly8JCwsDBkdqvn79islkwsvLCxic1hjt2k8KhYLIyEjq6urQ6XSYzWYiIiIAeP36Nfn5+RiNRoKCgpDJZPzqKibv3r3j9u3bhISESNvsdjsajWbIvu3t7VIbhjNp0iRpxXEnJycmTZokLdzp5OREf3+/tO/MmTMdjvXx8cFsNuPs7ExVVRXV1dW4u7szb948bDYb/f39dHZ24u7uzuTJk6XjgoKCAH6ahNzV1YWvr6/DNl9fXx48eCC9nzp1qvRaLpf/tB8VCgUwuP4YgKenp9RGGMzBGumc7e3tmM1P5USHAAAFeElEQVRmVCqVw6KmM2bMkF6/f/+ejIwMqXwYDAq+DwZ/9K1vvm+Hr68vZrN5TFOls2bNcmivu7v7mO9SUqlUUjAuCL9KBDOCMEp1dXUUFBRQX1+PTCbD1dWV0NBQduzYQW5u7qjLaW5uprGxkatXrzokxe7cuZOKigp27tw5pvolJiZSWlpKT08P8fHxyOVyent7SUtLIzc3l1WrVgFw4sQJh+mKb5ycnKTcCXBM0lSpVMTFxZGXlydta21tRalUDilHJpM5BCS/w2QyObx/9+4dcXFx1NbWUldXh8FgQKVSAbBixQoAvL29sVgsfPr0SQporl69iqenJ4GBgSOeS61WSzkf37S1tTF9+vQx1V0mk/3rPmq1msbGxiHn9PHxwcvLC6PRiN1ul4I/o9GIt7c3MHhNDh8+LI3W2Gw2WltbmTVrFo8fPx72fL6+vlgsFrq6uqSApq2tjSlTpiCXy3FycnIIaoabRvze99enu7sbi8WCj48PLS0tv1QODAbHYjV6YazEN0cQRkmn02GxWMjJyaGzs5OBgQFaWlooLy8fMT9kOJWVlSxbtgw/Pz9UKpX0l5SUREVFxZj+QwbQ6/W0tbVhMBikKSabzYbVapWmfBobGykvLx/2HAEBATx69Ii3b9/y+fNnzp49K30WHx9PQ0MDd+7cYWBggIcPH5KYmCjdXvs9tVpNR0fHmNrwoxcvXmAwGLDb7VRVVWEymYiMjOTz5884Ozvj4uJCb28vp0+fpq2tDbvdjlqtJiQkhMLCQqxWK2/evOHIkSNMmDABFxcXgGETZfV6PWazmfPnz2Oz2WhqaqKqqoqEhIQ/0pbhxMXFcffuXa5fv05fXx83b97kxo0bxMXFsXjxYjw9PTl+/Di9vb3cvHnT4Y6ftWvXUlxcjMlkwmazUVRUxLZt2346WuTt7Y1OpyMnJ4cvX75gNBo5duyY1EZ/f39u3bpFZ2cnnZ2dDjlBw/VdTU0Nz549w2q1kpeXh1arRa1WExAQQHNzM01NTVitVkpLSx2CO7lcPuQadHR04OPj83sdKvzfEsGMIIySUqmkrKwMk8nE6tWrWbhwIVu3bmX+/PlkZWWNqoze3l4MBoNDwvA3sbGxfPz4cUy3ecPgD0RsbCxubm4EBwcDg1M62dnZHDhwAI1GQ3Z2Nhs3bqSlpWXIw8+io6OJiopi3bp1JCYmotfrpc/8/f0pKioiPz8fjUZDZmYme/fudcjh+Ear1fLq1as/8lyZwMBAGhoa0Gq1lJeXc/r0aRQKBUlJScyZM4fly5cTGRnJ06dP+eeff6S7tI4ePUpHRwcRERGkpKSQmppKWFgYKpUKvV4vJfl+T6FQcObMGa5du8bSpUtJT08nPT2dmJiY327HSPz8/CguLqakpISQkBApOXjBggXI5XJOnTrFvXv3WLJkCaWlpURGRkrHbt++HY1Gw4YNG9BqtTx58oTS0lJpFGckBQUF9Pf3s2LFCtasWYNGo2HPnj3AYE7Q7NmzWblyJZs2bSI2NlY6bri+W7x4MYcOHUKn0/HhwwcKCwsBCA4OJjk5mR07dhAVFYW/v7807QaQlJTEwYMHOXnyJDAYdD9//nzY75MgjIZs4FcnzwVBEP7Ftm3bSEpKIj4+fsxlXLp0iQsXLjjcHi38d2RlZaFUKsnMzPztshoaGjhz5syoHlEgCMMRIzOCIPxxqampXLx48W9XQxgnysrKSE1N/dvVEMYxEcwIgvDHLVq0iNmzZ9PQ0PC3qyL8xz148AClUkloaOjfroowjolpJkEQBEEQxjUxMiMIgiAIwrgmghlBEARBEMY1EcwIgiAIgjCuiWBGEARBEIRxTQQzgiAIgiCMayKYEQRBEARhXPsfMewoeNo8LiMAAAAASUVORK5CYII=\n",
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