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QM-7063-Final/timing-analysis.ipynb
noah 0de3d0412e Adding efficiency plots
2023-04-22 15:56:18 -05:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Group 7 - Noah L. Schrick"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Imports\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.linear_model import LinearRegression\n",
"from dmba import regressionSummary\n",
"from sklearn.ensemble import RandomForestRegressor\n",
"from sklearn.datasets import make_regression\n",
"from sklearn.datasets import make_hastie_10_2\n",
"from sklearn.ensemble import GradientBoostingRegressor\n",
"from sklearn.metrics import mean_squared_error\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.svm import SVR\n",
"from sklearn.model_selection import GridSearchCV\n",
"from sklearn.metrics import classification_report,confusion_matrix\n",
"from sklearn import preprocessing\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# Import data\n",
"timing_df = pd.read_csv('timing.csv')"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exploratory Analysis"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Parallel Coordinates Plot"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_12892/509936392.py:3: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
" overall_df['load'] = overall_df['load'].replace(395,0)\n",
"/tmp/ipykernel_12892/509936392.py:4: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
" overall_df['load'] = overall_df['load'].replace(296,25)\n",
"/tmp/ipykernel_12892/509936392.py:5: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
" overall_df['load'] = overall_df['load'].replace(197,50)\n",
"/tmp/ipykernel_12892/509936392.py:6: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
" overall_df['load'] = overall_df['load'].replace(79,75)\n",
"/tmp/ipykernel_12892/509936392.py:7: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
" overall_df['load'] = overall_df['load'].replace(1,100)\n"
]
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},
"metadata": {},
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],
"source": [
"import plotly.express as px\n",
"overall_df = timing_df[['nodes', 'exploit', 'appl', 'load', 'runtime']]\n",
"overall_df['load'] = overall_df['load'].replace(395,0)\n",
"overall_df['load'] = overall_df['load'].replace(296,25)\n",
"overall_df['load'] = overall_df['load'].replace(197,50)\n",
"overall_df['load'] = overall_df['load'].replace(79,75)\n",
"overall_df['load'] = overall_df['load'].replace(1,100)\n",
"\n",
"# , [296,25], [197,50], [79,75], [1,100]\n",
"fig = px.parallel_coordinates(overall_df, color=\"runtime\", labels={\"runtime\": \"runtime\",\n",
" \"nodes\": \"nodes\", \"exploit\": \"exploit\",\n",
" \"appl\": \"appl\", \"load\": \"load\", },\n",
" color_continuous_scale=px.colors.diverging.Tealrose,\n",
" color_continuous_midpoint=2)\n",
"fig.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## VIF"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" feature VIF\n",
"0 nodes 4.095428\n",
"1 exploit 1.102242\n",
"2 appl 2.481514\n",
"3 load 5.401378\n"
]
}
],
"source": [
"from statsmodels.stats.outliers_influence import variance_inflation_factor\n",
"predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"X = timing_df[predictors]\n",
"\n",
"# VIF dataframe\n",
"vif_data = pd.DataFrame()\n",
"vif_data[\"feature\"] = X.columns\n",
" \n",
"# calculating VIF for each feature\n",
"vif_data[\"VIF\"] = [variance_inflation_factor(X.values, i)\n",
" for i in range(len(X.columns))]\n",
" \n",
"print(vif_data)\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot raw features with outcome"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for feat in ['nodes', 'exploit', 'appl', 'load']:\n",
" plt.figure()\n",
" plt.plot(timing_df[feat], timing_df['runtime'])\n",
" plt.title(feat)\n",
" plt.ylabel('runtime')"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Show avg timing data for each var step (EX: Avg time for 12 nodes, 11...1, Avg time for 6 exploits...49152)\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_12892/3831858898.py:5: SettingWithCopyWarning:\n",
"\n",
"\n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
"\n",
"/tmp/ipykernel_12892/3831858898.py:6: SettingWithCopyWarning:\n",
"\n",
"\n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
"\n",
"/tmp/ipykernel_12892/3831858898.py:7: SettingWithCopyWarning:\n",
"\n",
"\n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
"\n",
"/tmp/ipykernel_12892/3831858898.py:8: SettingWithCopyWarning:\n",
"\n",
"\n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
"\n",
"/tmp/ipykernel_12892/3831858898.py:9: SettingWithCopyWarning:\n",
"\n",
"\n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
"\n"
]
},
{
"data": {
"text/plain": [
"<AxesSubplot: title={'center': 'Database Load vs Runtime'}, xlabel='Database Load (%)', ylabel='Runtime (ms)'>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"node_pivot = timing_df.pivot_table(index=[\"nodes\"], values=[\"runtime\"], aggfunc='mean')\n",
"exploit_pivot = timing_df.pivot_table(index=[\"exploit\"], values=[\"runtime\"], aggfunc='mean')\n",
"appl_pivot = timing_df.pivot_table(index=[\"appl\"], values=[\"runtime\"], aggfunc='mean')\n",
"\n",
"overall_df['load'] = overall_df['load'].replace(395,0)\n",
"overall_df['load'] = overall_df['load'].replace(296,25)\n",
"overall_df['load'] = overall_df['load'].replace(197,50)\n",
"overall_df['load'] = overall_df['load'].replace(79,75)\n",
"overall_df['load'] = overall_df['load'].replace(1,100)\n",
"load_pivot = overall_df.pivot_table(index=[\"load\"], values=[\"runtime\"], aggfunc='mean')\n",
"\n",
"node_pivot.plot(kind='bar', title='Number of Nodes vs Runtime', ylabel='Runtime (ms)', xlabel=\"Nodes\")\n",
"exploit_pivot.plot(kind='bar', title='Number of Exploits vs Runtime', ylabel='Runtime (ms)', xlabel=\"Number of Exploits\")\n",
"appl_pivot.plot(kind='bar', title='Applicability of Exploits vs Runtime', ylabel='Runtime (ms)', xlabel=\"Applicability of Exploits (%)\")\n",
"load_pivot.plot(kind='bar', title='Database Load vs Runtime', ylabel='Runtime (ms)', xlabel=\"Database Load (%)\")\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Correlation and Matrix Plot"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot: >"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1100x700 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"timing_corr = timing_df.corr().round(3)\n",
"# print(timing_corr)\n",
"fig, ax = plt.subplots()\n",
"fig.set_size_inches(11, 7)\n",
"sns.heatmap(timing_corr, annot=True, fmt=\".1f\", cmap=\"RdBu\", center=0, ax=ax)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Speedup and Efficiency"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# Add speedup and efficiency columns\n",
"timing_df['speedup'] = np.nan\n",
"timing_df['efficiency'] = np.nan\n",
"for idx, row in timing_df.iterrows():\n",
" nodes,exploits,appl,load = row['nodes'], row['exploit'], row['appl'], row['load']\n",
" timing_df.at[idx,'speedup'] = timing_df['runtime'][timing_df['nodes'] == 1][timing_df['exploit']==exploits][timing_df['appl']==appl][timing_df['load']==load].values[0]/timing_df['runtime'][timing_df['nodes'] == nodes][timing_df['exploit']==exploits][timing_df['appl']==appl][timing_df['load']==load].values[0]\n",
" timing_df.at[idx,'efficiency'] = timing_df['runtime'][timing_df['nodes'] == 1][timing_df['exploit']==exploits][timing_df['appl']==appl][timing_df['load']==load].values[0]/(timing_df['runtime'][timing_df['nodes'] == nodes][timing_df['exploit']==exploits][timing_df['appl']==appl][timing_df['load']==load].values[0]*nodes)"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Min, Max, Mean: Nodes"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_12892/1772356950.py:2: FutureWarning:\n",
"\n",
"DataFrame.set_axis 'inplace' keyword is deprecated and will be removed in a future version. Use `obj = obj.set_axis(..., copy=False)` instead\n",
"\n"
]
},
{
"data": {
"text/plain": [
"<AxesSubplot: title={'center': 'Minimum, Maximum, and Mean Speedups of MPI Tasking\\n for Increasing Problem Sizes'}, xlabel='Number of Nodes', ylabel=\"Speedup (Amdahl's)\">"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"res_spd_df = pd.DataFrame(timing_df.pivot_table(index=[\"nodes\"], values=[\"speedup\"], aggfunc=['max', 'min', 'mean']).to_records())\n",
"res_spd_df.set_axis(['Nodes', 'Max', 'Min', 'Mean'], axis=1, inplace=True)\n",
"res_spd_df.plot(kind='bar', x='Nodes', title='Minimum, Maximum, and Mean Speedups of MPI Tasking\\n for Increasing Problem Sizes', ylabel=\"Speedup (Amdahl's)\", xlabel=\"Number of Nodes\")"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_12892/2421668426.py:2: FutureWarning:\n",
"\n",
"DataFrame.set_axis 'inplace' keyword is deprecated and will be removed in a future version. Use `obj = obj.set_axis(..., copy=False)` instead\n",
"\n"
]
},
{
"data": {
"text/plain": [
"<AxesSubplot: title={'center': 'Minimum, Maximum, and Mean Efficiencies of MPI Tasking\\n for Increasing Problem Sizes'}, xlabel='Number of Nodes', ylabel='Efficiency'>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"res_eff_df = pd.DataFrame(timing_df.pivot_table(index=[\"nodes\"], values=[\"efficiency\"], aggfunc=['max', 'min', 'mean']).to_records())\n",
"res_eff_df.set_axis(['Nodes', 'Max', 'Min', 'Mean'], axis=1, inplace=True)\n",
"res_eff_df.plot(kind='bar', x='Nodes', title='Minimum, Maximum, and Mean Efficiencies of MPI Tasking\\n for Increasing Problem Sizes', ylabel=\"Efficiency\", xlabel=\"Number of Nodes\")"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exploits, Appl, Nodes"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# x axis: exploits\n",
"# y axis: speedup and eff\n",
"# At each xtick: compartments 0-100 for appl. Min, mean, max for each?\n",
"tmp_pv = pd.DataFrame(timing_df.pivot_table(index=[\"exploit\", \"nodes\"], values=[\"speedup\"], aggfunc='mean').to_records())\n",
"ax = sns.lineplot(x=\"exploit\", y=\"speedup\", hue=\"nodes\", palette=\"colorblind\", data=tmp_pv)\n",
"plt.show()\n",
"\n",
"tmp_pv = pd.DataFrame(timing_df.pivot_table(index=[\"appl\", \"nodes\"], values=[\"speedup\"], aggfunc='mean').to_records())\n",
"ax = sns.lineplot(x=\"appl\", y=\"speedup\", hue=\"nodes\", palette=\"colorblind\", data=tmp_pv)\n",
"plt.show()\n",
"\n",
"tmp_pv = pd.DataFrame(timing_df.pivot_table(index=[\"load\", \"nodes\"], values=[\"speedup\"], aggfunc='mean').to_records())\n",
"tmp_pv['load'] = tmp_pv['load'].replace(395,0)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(296,25)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(197,50)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(79,75)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(1,100)\n",
"ax = sns.lineplot(x=\"load\", y=\"speedup\", hue=\"nodes\", palette=\"colorblind\", data=tmp_pv)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# x axis: exploits\n",
"# y axis: speedup and eff\n",
"# At each xtick: compartments 0-100 for appl. Min, mean, max for each?\n",
"tmp_pv = pd.DataFrame(timing_df.pivot_table(index=[\"exploit\", \"nodes\"], values=[\"efficiency\"], aggfunc='mean').to_records())\n",
"ax = sns.lineplot(x=\"exploit\", y=\"efficiency\", hue=\"nodes\", palette=\"colorblind\", data=tmp_pv)\n",
"plt.show()\n",
"\n",
"tmp_pv = pd.DataFrame(timing_df.pivot_table(index=[\"appl\", \"nodes\"], values=[\"efficiency\"], aggfunc='mean').to_records())\n",
"ax = sns.lineplot(x=\"appl\", y=\"efficiency\", hue=\"nodes\", palette=\"colorblind\", data=tmp_pv)\n",
"plt.show()\n",
"\n",
"tmp_pv = pd.DataFrame(timing_df.pivot_table(index=[\"load\", \"nodes\"], values=[\"efficiency\"], aggfunc='mean').to_records())\n",
"tmp_pv['load'] = tmp_pv['load'].replace(395,0)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(296,25)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(197,50)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(79,75)\n",
"tmp_pv['load'] = tmp_pv['load'].replace(1,100)\n",
"ax = sns.lineplot(x=\"load\", y=\"efficiency\", hue=\"nodes\", palette=\"colorblind\", data=tmp_pv)\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Linear Regression"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Indiv Vars\n",
"### Linear Regression - Overall Runtime\n",
"#### Nodes"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 303728.87235091545\n",
" Predictor coefficient\n",
"0 nodes -32534.157117\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : -0.0000\n",
" Root Mean Squared Error (RMSE) : 442361.0172\n",
" Mean Absolute Error (MAE) : 198916.6752\n",
" Mean Percentage Error (MPE) : -3076.0279\n",
"Mean Absolute Percentage Error (MAPE) : 3664.0029\n"
]
}
],
"source": [
"predictors = ['nodes']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 0.06488133316235689\n",
" Predictor coefficient\n",
"0 nodes -0.085788\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 0.1060\n",
" Mean Absolute Error (MAE) : 0.0477\n",
" Mean Percentage Error (MPE) : -32832.1198\n",
"Mean Absolute Percentage Error (MAPE) : 33548.5134\n"
]
}
],
"source": [
"scaler = preprocessing.MinMaxScaler()\n",
"d = scaler.fit_transform(timing_df)\n",
"normalized_df = pd.DataFrame(d, columns=timing_df.columns)\n",
"\n",
"predictors = ['nodes']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = normalized_df[predictors]\n",
"overall_y = normalized_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))\n"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Exploit"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept -8788.042556187662\n",
" Predictor coefficient\n",
"0 exploit 50.283347\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : -0.0000\n",
" Root Mean Squared Error (RMSE) : 197437.6040\n",
" Mean Absolute Error (MAE) : 62749.3897\n",
" Mean Percentage Error (MPE) : 180.5994\n",
"Mean Absolute Percentage Error (MAPE) : 275.3917\n"
]
}
],
"source": [
"predictors = ['exploit']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Appl"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 42450.91771345622\n",
" Predictor coefficient\n",
"0 appl 1748.317923\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : -0.0000\n",
" Root Mean Squared Error (RMSE) : 454831.8590\n",
" Mean Absolute Error (MAE) : 186480.9214\n",
" Mean Percentage Error (MPE) : -2691.9685\n",
"Mean Absolute Percentage Error (MAPE) : 2705.9283\n"
]
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x6fd6c0c1dc30>]"
]
},
"execution_count": 60,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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e1l32BwDMdW6N3lb6dfwJmh8KLAghhHyUIlLzseK0N0JT8sS2rx9pg+UfGMpgGAa/3gsVVR/9fkxHLOrTpsbX3nYnGAnZRTDTVcX6kTa1b3wzRoEFIYSQj85lr3isvugnsf3pmgFoo6/+3s8yDIMdd0NEuS1+HNsRC3rXPKh4HpaGs+5xAIBdU+yg/okMgZT5tH5aQgghH7XCEj42XwvCZe94se1muqp4vmYg5OSqruFRhmEYbLsTjIMv2QyZP43vhHk9LWp8/ZwiHtZdYodAFvSyqDZr58eMAgtCCCEfhZDkXHxxyhtR6QVi27dO6Iw5zq0/+HmGYbD1djAOv2KDip/Hd8LcWgQVALD11lsk5xbDQk8N/xtR/UqTjxkFFoQQQpo1hmFwziMOG64ESOx7vX4QTHRUa3SOn269xdHXMQBqHoxU9CQkBRe94sHhALum2kFN6dO8xX6aPzUhhJCPQl4xDxuvBuKmX6LY9s4mWri5sk+15csrYhgGW26+FSXN2jaxC2Y5mdeqHTmFPKy/zAY2i3u3gYOFbq0+/zGhwIIQQkizFJiQg89OeiEhu0hs++/T7TCxm2mNzsEwDH64EYQTLu8AADsmdcEMx9oFFQCw5WYQUvO4sNRXx5rhn+YQSBkKLAghhDQrDMPg+JsY/HjzrcQ+902DYaipUqPzCIUMvr8RiFOuseBwgF8n2WKag1mt2/MgKBlXfBIgxwF2T7ODimLVacE/FRRYEEIIaTZyCnn432U/3A9KEdveq60eTi9xqtHQB8AGFZuvB+K0W2lQMdkW03rUPqjIKijBxquBAICl/SzR3bxFrc/xsaHAghBCSLPgHZuFZSe8kJ7PFdu+b449RnRuVePzCIUMNl0LxFl3NqjYNcUOU+xrNnRS2Y83g5Cez4WVoQa+GdK+Tuf42FBgQQghRKYJhQwOvYrCtjshEvt8vx8KHTWlWp1r49UAnPOIA4cD7Jlqh0nd6xZU3AtMwnXfRMjLcbBnKg2BlKHAghBCiMzKLCjB6gu+eBqaJrZ9RKdW2Dune42HPgA2qFh/xR8XPOMhxwF+m9YVE7qZ1KldGflcbCodAlne3xJ2Zjp1Os/HiAILQgghMsktKgNLjnsij8sX235ikSP6tTeo1bkEQgbrLvvjkhcbVPw+vSvGd61bUAEA398IQkZBCaxbamLV4HZ1Ps/HiAILQgghMkUgZPDf0wjseRgmsS/gx2HQVFGs9fn+d8kfl73jIS/HwR/Tu2KsnXGd23fLPxG3/ZPYIZBpdlBWoCGQiiiwIIQQIjNS84rxzXlfvI7IENs+rYcpdk6xq/X5BEIGay/64YpPAuTlOPhzRleMsa17UJGWx8Xma+wQyIqBVuhsol3nc32sKLAghBAiE16Fp2PRMQ+UCIRi2y981hOObWqfyVIgZLD6gi+ulU6w/HtmN4zqYlTn9jEMg++uBSCrkIcORlpYOdCqzuf6mFFgQQghpEnxBUL8+Tgcfz+JkNgX/NMIqCrVfqiBLxBi9UU/XPdNhEJpUDGyHkEFANzwS8T9oBQolK4CUVKQq9f5PlYUWBBCCGkySTlF+OqsL9xjMsW2L+7TBpvHdKzTOfkCIb654IebfmxQ8c+s7rXKc1GV1NxifH89CACwanA7dDTWqtf5PmYUWBBCCGkST0NSsfCYh8T2Gyt7w9ZUp07n5AuE+Oq8L277J0FRnoN/Z3XHsE71CyoYhs19kVPEQ2cTLXw+oG29zvexo8CCEEJIo+IJhNh1PxQHXkSJbZeX4+DtT8PrvMqCJxDi63O+uB3ABhX/zbbH0I4t693eqz4JeBScCkV5DvZM7QpFeRoCeR8KLAghhDSauMxCrDzrA7+4bLHtXw1uh2+G1j0lNk8gxKqzPrgbmAwleTnsndMdgzvUP6hIzinGjzfYIZCvh7SHdSvNep/zY0eBBSGEEADsTf+aTwJWDrKqVUbLmroXmIzlp7wktj/4ph/at6z7DbuEL8SXZ71xPygFSvJy2De3OwbZ1D+oYBgGG674I7eYDztTbXzWz7Le5/wUUGBBCCEEANB351MAQHRGAX6b1lVq5+XyBdh+JwTH3sSIbddVV4L7xsFQqMfQQglfiJVnvPHgbQqUFOSwf649Blob1rPFrIte8XgamgYlBTnsnmpXr3Z+Sui3RAghBPufR4peX/FOgFDISOW8MekFmPDvG4mgYtOoDvDePLTeQcUXp8uDigNSDCoSs4vw8823AIDVQ9ujXT16VD411GNBCCEE2++KVw59Gppa7zkKN/wSseqsj8T2Z2sGwEJfvV7n5vIF+OKUNx6HpEJZQQ4H5/Wodf2Q6jAMW1ckj8tHN3MdLOlLQyC1QT0WhBDyiYtOL5DYduhldJ3PV8wTYMOVAImgoo2+OiK3jap3UFHME2D5SS9RUHFovvSCCgA45xGHl+HpUC4dApGXk/58k48ZBRaEEPKJG7j7mej1i7UDIS/HgUtUBgITcmp9rojUPIz+6yXOuseKbd82sQuerhlQ75t0MU+A5ae88DQ0DSqKcjiywAF920kvqIjPKsTWW+wQyNrh1mhroCG1c38qKLAghJBPGL9SXQ5zPTWMLk19feRV7XotLnnFY8hvLxCZJt4D8mb9IMxyMq9fQ8EGFctOeuFZWVAx3wG9rfTrfd4ywtIqqAUlAvRo3QILe7eR2rk/JRRYEELIJ2zWITfR67tf9QUALOnL3lBv+CUiOaf4g+co4PLx7QVfrLnoJ7bdzkwHUdtGwVhHtd7tLOYJsPSEJ16EpUFVUR5HFziilxSDCgA47R6LN5EZUFGUwy4aAqkzCiwIIeQT5h5dXqOjgxFb/8LWVAeOFrrgCxmccIl57+eDk3Ix4s8XuOKdILb9zxldcX1Fb8hJ4eZcVCLAkuOeeBmezgYVCx3Qs61evc9bUWxGIbbfCQYArBthgzb1nAfyKaPAghBCPlE3/RJFr1cMFK9/sbi01+K0WywKS/gSn2UYBqfd3mHkny8Rl1kkts9j0xCM72oilTYWlQiw5IQHXkWkQ01JHscWOsDZUrpBhVDIYO0lPxSWCODYRhfze1pI9fyfGgosCCHkE/VlhVUba4fbiO0b0qElWuupIaeIh8te8WL78op5+PKsDzZdDRTb3redPqK3j4KBprJU2ldYwseiYx54HZEBdSV5HF/kCCcpBxUAcMIlBm7RmVBTksfuKXZS6WX5lFFgQQghn6DUvPK5E4rykjdSeTkOFpVOXjz8KlqUMCsgPgeD9zzHLf8kseMPzLXHycVOUksFXhZUuESVBxUOFrpSOXdFMekF2HGPzeGxYaQNzPXUpH6NTw0lyCKEkE+Q4y+PRa89vxta5TFT7E2x50EoYjIK8Sg4BQnZRdhSmo2yIt/vh0JHTUlqbSvg8rHwmAfcozOhoayA44scYN9a+kGFQMhgzUU/FPOE6NVWD7OdWkv9Gp8iCiwIIeQTI6iUrltbVbHK49SVFTDLqTX2PY/EspOSxcNGdzHCP7O6SbVgWQGXj4VHPeAekwlNZQUcX+yI7uYtpHb+io6+jobnuyyoK8nj18m2NAQiJRRYEELIJ2bT1QDR62MLHd57rK2pdpXbTy12Qp920l3umc/lY+FRd3jEZEFTWQEnFjuiWwMFFZFp+dh1PxQAsGl0R5jp0hCItFBgQQghn5hzHnGi1wOqKdolFDI48DIKOyrVEAGAwC3DoaEs3dtHXjEPC456wOtdFjRVFHBysRO6mulI9RplyoZAuHwh+rbTx0xHswa5zqeKAgtCCPmEvIlMF70e1aVVlcdk5HPx7QU/PA9Lk9jnsmFQgwQV84+4wzs2G1oqCji1xAm2pjpSvUZFh15GwSc2G5rKCvh1sq1Uh3IIrQohhJBPyqyD5Zk2/57ZXWK/a1QGeu54IhFUlK0cOf7mnVTbk1vMw7zSoEJbVRGnlzg3aFARnpKHPQ/DAACbx3SUSlZQIo4CC0II+UTkFPLE3ldMWS0QMvjrcThmHHBFCV+8fkjwTyPw32x7AMAZt3co4EomzKpTe4p4mHvYHT6ioMIJXaqZ0yENfIEQay76oYQvxABrA0ztYdpg1/qUUWBBCCGfiEF7nolev/zfQNHr1LxizDnkht9Kn+TLLOtniZgdo6GqJI/BNoaw0FNDbjEflyolzKqLnCIe5h12g19cNnTU2KCis0nDBRUAsP9FFPzic6CpooAdk2gIpKFQYEEIIZ8AgZBBRkGJ6H3ZKoiX4Wlw/OUxXKIyxI6/9WUfbBzVQfReTo6DxX3YhFlHXkdLLFmtjZxCHuYedoNffA5aqCnizBLnBg8qQpJz8ccjNnD6cWwntNJWadDrfcoosCCEkE/AP08iRK9/ntAZfIEQu+6HYO5hd7HjlBTkELp1RJU3+sn2ptBWVcS70oRZdZFdWILZh13hH58DXXUlnFnqjI7GWnU6V03xSodAeAIGQzoYYlJ36dQxIVWjwIIQQj4Bvz8qH+YY0sEQ0w+44t+nkWLHfDu0PcK2joSygnyV51BTUsBsJ3MAwOGX0bVuQ3ZhCWYfckNgQm5pUOEkqqjakPY+i0RgQi60VRWxbWIXGgJpYBRYEELIRy4wIUfsfc/tT+D1Lkts28Nv+mHV4HYfPNf8XhZQlOfAPSYTfnHZNW5DVkEJZh10Q1BiLvTUlXB2qTNsWjV8UBGUmIO/HocDAH4a3wmGWjQE0tAosCCEkI/cmL9fVbvPQFMZ4b+MRLuWmjU6V0stFYy1NQbAFiericyCEsw65Ia3SbnQ11DC2WXOsG5Vs+vVRwlfiDUX/cEXMhjeqSXG2Rk3+DUJBRaEEPJRyy3mVbtv85iO8Ng0BIrytbsVLCqdxHk7IAmJ2UXvPTYjn4tZB10RnJQLfQ1lnF3qjPY1DGLq65+nEQhOykULNUVsnUBDII2lVt+mvXv3wtbWFlpaWtDS0kLPnj1x9+7dhmobIYSQerL98UGV25+vHSBa5VFbnU200dNSDwIhg+NvYqo9Lj2fi1kH3RCSnAcDTWWcW+Zc456R+gpMyMG/T9kJqz9P6AwDTeVGuS6pZWBhamqKHTt2wMvLC56enhg0aBDGjx+PoKCghmofIYSQOijmCbD5WqDEditDDURuG4XWeur1Ov+SvmxQcsY9FvlVJMxKL+2pCE3Jg2FpUGFlqFGva9YUly/A6gt+EAgZjO5ihDG2NATSmGoVWIwdOxajRo1Cu3bt0L59e/zyyy/Q0NCAq6trQ7WPEEJILUWnF2DcP69w0lU8/faOSV3w6Nv+Yhk362qgtSEs9dWRV8zHRc84sX1peVzMPOCKsJR8tNRig4q2Bo0TVADAX4/DEZqSBz11Jfw0vlOjXZew6jzHQiAQ4Ny5cygoKEDPnj2rPY7L5SI3N1fsP0IIIQ3jum8CBu5+hrCUfLHtr9cPwgxHc6ldR06OI5prUTFhVmpeMWYedEV4aj5aaang3LKesGzEoMIvLht7n7HLaLdO6Aw9DRoCaWy1DiwCAgKgoaEBZWVlLF++HFevXkXHjh2rPX779u3Q1tYW/WdmRuVpCSFE2opKBFh/2R9fnfOV2Ccvx4FJAxTbmtzdFDpqiojLLMLDt8lIzS3GzAOuiEjNh5G2Cs4tc0Yb/foNudRGMU+A1Rf9IGSAcXbGGNnFqNGuTcrVOrCwtraGr68v3Nzc8Pnnn2P+/Pl4+/Zttcdv2LABOTk5ov/i4uKqPZYQQkjthafkYcSfL3DOo+q/rxXrgkiTqpI85ji1BgD8cicYMw64IjKtAMalQYVFIwYVAJsELCI1H/oaytgyjoZAmopCbT+gpKQEKysrAIC9vT08PDzw559/Yv/+/VUer6ysDGVl6ooihBBpYxgGl7zisfaS/3uPa8jS4PN6tsY/TyMQl8kuOzXRUcXZpc4w11NrsGtWxetdFg6+iAIAbJvYGS3UlRr1+qRcrQOLyoRCIbhcrjTaQgghpIYKuHxsvhaIKz4JYtsHWhtAS1UR130TAQB/zezWoO0QMOLFyM4tcxYVOGssxTwB1pYOgUzqZoJhnVo16vWJuFoFFhs2bMDIkSNhbm6OvLw8nDlzBs+ePcP9+/cbqn2EEEIqeZuYi0XHPJCcWyy2/dC8HhhkYwjLjXdE2xoy22RidhFmHhRfFdgUOah23w9FVHoBDDWV8cNYGgJparUKLFJTUzFv3jwkJSVBW1sbtra2uH//PoYOHdpQ7SOEEFKKYRicdovFd1Xkp/D7fhi01RRxJyBJtG2gtUGDtSUhuwgzD7giNrMQpi1UoSDHQUxGIY6/icGm0dVP6Jc2j5hMHH7NphbfMbkLtNUUG+3apGq1CiwOHz7cUO0ghBDyHrnFPGy4HIDbFQIHABhrZ4y/ZnQVpav+4rS3aN/eOfYN0pb4rELMPOiKuMwimOmq4tyynghLzsPCYx445x6HVYPbQVOl4W/whSV8rL3oB4YBptqbYpBNywa/Jvmwes+xIIQQ0rD84rIx/6g7sgvF636cXuKE3lb6ovfR6QVi+1UUqy5/Xh9xmWxQEZ9VBHNdNZxb5gxjHVUYaamgrYE6ItMKcMEzvs7pwmtj571QxGQUwkhbBd+NabxeEvJ+VISMEEJkFMMwOPwqGuP/fS0RVARuGS4WVADAhH9fi17f+rKP1NsTl1mIGQfYoKK1nhrOf+YsWnEiJ8fB4j6WAICjr6PBFwilfv2KXKMycKy0TsmOybbQVqUhEFlBgQUhhMig7MISLD3hhZ9viecJmu1kjpgdo6GhLN7hnM/lI6eoPPjobKIt1faUBRUJ2UVoo6+O88t6wkhbfBnrpO4maKGmiPisIjx4myLV61dUwOVj7SU/AMBMRzP0b99wc0lI7VFgQQghMsbrXSactj3Go2Dxm/Plz3vhl4ldqvzMX4/DRa9XD20v1fbEZhRi+n4XJGQXwVJfHWeXOqOVtorEcSqK8pjrzCbMOvQySqptqGjH3RDEZRbBREcVG0d1aLDrkLqhwIIQQmSEUMhg77NITN7rAi5ffCgh+KcRsG/dotrPHXhRfiNfOchKam16l1GA6QdckJhTDEsDdZxdVnVQUWZOz9ZQkpeDd2w2vN5lSa0dZd5EpIuKq/062bZRJomS2qHAghBCZEB6Phfzj7rj13shYtuX92+LmB2joapU/UTM5+Fpotet9dREK0TqKya9ANP3uyIppxhtDdRxbqkzWmpVH1QAgKGmCsZ3ZXNnHHkVLZV2lMnn8kVZRuc4m6NPO/0PfII0BVoVQgghTcwlMkMi0RTATsCsyVyJhUc9RK8vLq++2nRtRKcXYMYBF6TkcmFlqIEzS51gqPn+oKLM4r5tcNErHncDkxCXWSi1TJzb7gQjIbsIpi1UsWEkDYHIKuqxIISQJiIQMvjjUZhEUKGuJI/QrSNqFFTEVFpiWtOb//tEpuVj+n42qGhnqIGzS51rdV6bVlro204fQgailRv19SIsDWfcYgEAu6bYQV2ZnotlFQUWhBDSBFJzizHzoCv+eBQutn3NsPYI+mkElBVqloPiy7M+otf759Y/IVZEaj5mHnBFah4X7Vtq4OwyZxho1r6QZFkei/Meccgt5n3g6PfLLeZh/WV2CGRBLwv0bKtXr/ORhkUhHyGENLIXYWmYd8RdYvujb/vBylCzxucp4PIRkJAjej+8nsW3IlLzMPOgG9LyuLBppYnTS5ygp1G36tT92xugnaEGwlPzccEjDkv6Wta5Xb/cCkZiTjFa66nhfyOs63we0jiox4IQQhoJXyDEznshEkGFkbYKwn8ZWaugAgCOu8SIXk/sZlKvtoWn5GHGAekEFQDA4XBEvRZHX8fUOWHW09BUnPeMA4fDDoGoKdHzsKyjwIIQQhpBYnYRJu9zwX/PIsW2/zi2I1w2DIaifO3+HDMMg533QkXvd0yuOr9FTYSl5GHmQVek53PRwUgLZ5Y61yuoKDOhmwn01JWQkF2Ee0HJtf58TmH5EMii3m3g2Ea33m0iDY8CC0IIaWCP3qag144n8IvLFtv+Yu1ALOhdt5oaryMyxN7XdE5GZaHJeZh5wBXp+SXoaKSFM0ucoKuuVKdzVaaiKI85pQmzDr6MBsMwtfr8T7feIiWXC0t9dawZRkMgzQUFFoQQ0kBK+EJsvfUWS054im23aaWJiF9Gwlyv7ssw5xx2E72+93XfOp0jJDkXMw+6IqOgBJ2MtXBmqRNaSCmoKDPHuTWUFOTgF5cN79iaJ8x69DYFl73jIccBdk21e28eDyJbKLAghJAGEJdZiHH/vMKhSkmidk62xb2v+0GhlkMfFcVmFIq9t2mlVetzvE3MxcwDrsgsKEEXE22cXuIEHTXpBhUAYKCpjIld2fkfh17WLGFWdmEJNlwNAAAs7WtZbcZRIpsosCCEECm7E5CEvjufIiQ5T2y7y4ZBmOZgVu/z/1ShMNl3o2ufKCooMQezD7kiq5AHO1NtnFrcMEFFmcV92eGe+0HJEkFRVX68EYS0PC7aGqjjGynXPSENjwILQgiRkmKeAJuvBeKL095i2x0tdBG1bZRENdC6KCzhixUnK1t5UVOBCTmYfciNDSrMdHBisRO01Rq23kb7lpro194AQgY4+ub9vRb3ApNxzTcRchxgz7SuUFGkIZDmhgILQgiRgqi0fIz686WoQFaZf2Z1w4XlPSEnJ536HZe84kWvu5rp1KouSFlQkV3IQ1czHZxc7Aht1cYp4rWkNAC64BEnVt69osyCEnx3jR0CWd6/Lbqa6TRK24h0UWBBCCH1dN03AYP2PEdUpfTant8NwRhbY6ldh2EYfH89SPT+yAKHGn82ID4Hsw66IqeIh+7mbFCh1YiVQfu200f7lhooKBHgvEdslcd8fz0Q6fklaN9SA18NaddobSPSRYEFIYTUUVGJAP+75IevzvmKbR/SwRDR20dBXwq5ICpyiRRfYlrTZaF+cdmYfcgVucV82LdugeOLHBu93DiHw8GSPmz2zWOvY8CrlDDrtn8SbvknQV6Ogz1Tu9Z5+SxpehRYEEJIHYSl5GHQnme44Bkvtv3Igh44NN9BaqXLK6q4bPX4IscafcY3LhtzDrsht5iPHk0UVJQZ19UY+hpKSMwpxt3A8oRZ6flcbL4eCABYMaAtuph+uPgakV0UWBBCSC0wDIMLHnEY9vsLJOUUi+3z+34YBtm0bJDrxmUWorBEIHrfv73BBz/jE5uFuYfckFfMh6OFLo4tcoRGE1YFVVGUx1xnCwDAoZdRYBgGDMNg87VAZBaUwKaVJlYOoiGQ5o6SrhNCSA3lc/nYdDUA130TxbZP6GqM36d3bZBeijL/PIkQvZ7tZP7B473eZWH+EXfkc/lwbKOLowscZKLU+Bxnc/z7LAL+8TnwfJeFpNLeCwU5DvZMs4OSAj3vNndN/y0jhJBmICgxB3NKl2lWdGaJE3pZ6TfotYtKBDjvGSd6/+O4Tu893utdJuYf8UA+lw9nS10cWeAgM8W79DSUMbm7Cc66x2H7nWDRhNeVg6zQyZiGQD4GFBoSQsh7MAyDk67vMPqvVxJBRcCPwxo8qACAa74JotfaqorvLVjmGZOJeYfZnoqelnoyFVSUWVRaH8U7NhvZhTx0NNLCioFWTdwqIi2y9W0jhDRrKbnFMNRUbtAhgcaUU8TDukv+EpU55/VsjS3jOjXKz8kwDDZcCRC9v/JFr2qPdY/OxIKj7igsEaBXWz0cnu8gkzU22rUULw+/Z5pdrau7EtlFgQUhpN6EQgY/3XqLY29i8O3Q9lg1uPlPwPOLy8b0Ay4o5okvi7zyRS90N2+82hWuUZli79saaFR5nFtUBhYe80BhiQB9rPRxcF4PmQwqADYArchYChlJieygEJEQUi8lfCG+Pu+LY29iALAZKJszhmFw6GUUxv/7WiKoCP5pRKMGFQCw6Vp5b8XPEzpXeYxrVAYWHGWDir7t9HFovuwGFZV7YADgbDUJs0jzRIEFIaTOCkv4WHrCEzf8yldJXKu0YqI5ySoowaJjHth6O1hs+xcD2iJmx+hGv1nHZxUiKq08m+dc59YSx7yJTMfCox4o4gnQr70BDs7rIdP1NS55xeNJSCqU5OWwrF/1CbNI80VDIYSQOskuZG/C3rHZUFGUk3i6b248YzIxZZ+LxPbbq/o02WqFo69jRK97tdWT2P8mIh2LjnugmCdE//YG2D/XXqaDiqScIvx0k63M+s3Q9ljUxwJXvBOQnFuMOwFJGF9aXp00b9RjQQipteScYkzb7wLv2Gxoqyri9BLnpm5SnQmFDP57FiERVGiqKCDk5xFNFlQU8wQ4/Kq8EujeOfZi+1+Fp2PhMTaoGGgt+0EFwzBYdzkAeVw+uprpYGnfNlBWkMf8nmwvzMHShFmk+aPAghBSK1Fp+Zi89w3CUvLRUksZF5f3hH3rxp13IC3p+VzMOeyGnfdCxbavHW6NgB+HN+mN+nqFJaYAxKqQvgxPw+LjHuDyhRhkY4h9Mh5UAMB5jzi8CEuDkoIcdk+1g0LpKpDZzq2hrCCHwIRcuEdnfuAspDmgwIIQUmMB8TmYus8FCdlFaKOvjkvLe6F9paWDAPA0NLUJWlc7byLT0WPrI7ypVNjr0bf9mzynQtnTfZkzS51Er5+HpWHxcU9w+UIM6WCIvXO6y3zBrvisQtG8lbXDrGFlWL6yRVddCZPtTQEAhyr00JDmiwILQkiNvIlMx8yDrsgoKEEnYy1cXN4TZrpqAIB/noSLHbvwqAcuVsgUKUsEQgZ/PArDrINuYttNW6gibOtIsZteU6n85N6rLZuE61loKpae8EQJX4ihHVviv9n2Mh9UsEGSP/K5bGXVRX3aSBxTljDrUXAKoiuVnifNDwUWhJAPuheYjAUVUkSfW+YsKgmez+Vj94Mwic+sveSPPx6FydS4eUpuMabue4M/HokHQlvGdcKrdYNkpk7Fnoflv8/FpTfipyGpWHbCCyV8IYZ1bIl/Z3WXmfa+z2m3WLyOyICKohx2TbGFvJxkUjErQw0MsjEEwwBHX1OvRXMn+99KQkiTOu8Riy9Oe6FEwN7Qji0UL7vtsPVRtZ/941E41l7yl4mlhM/D0uC07TG8Y7PFtr9YOxDze1k0SZuqkphdJNZjsXFUBzwOTsFnJ9n/ByM6tcK/s5tHUBGXWYhtd9ghkP8Nt4FlNcm9AGBJaQB10TMe2YUljdI+0jBk/5tJCGkSDMNg77NIrLscACEDTO9hhv9mdxebJPjobQqKeIL3nIXNW7DomAfyinnvPa6h8ARC/HovBPOPuItt72SshYhfRsJcT61J2lWdU67vRK+NtVXwNCQVy0+xQcXIzq3w96xuzSL9tVDIYO0lPxSWCOBooYsFHwjeerbVQwcjLRTxBDjjTgmzmjPZ/3YSQhodwzDYdicYv94LAQAs798WOyZ3Ec3kB4ACLh9LTnh+8FyqivJ4GZ6OqftckJRT1GBtrkpCdhHG//Mae59Fim3fNcUWt1f1Fft5ZEExT4D/KrR1cV9LfH7aCzwBg9FdjPDXzOYRVADASdd3cI3KhKqiPHZNtYVcFUMgFXE4HFGvxfE3MSjhN30vF6mb5vENJYQ0Gr5AiDUX/XHwJTvWvWlUB6wfaSNRcGv5KS/R6z6VKnz+NbOb6HXPtnow0FRGSHIeJv77Bm8Tcxuw9eUevk1B7x1P8DZJ/HouGwZhag+zRmlDbVXMYAoA2+8EgydgMMbWCH/O6NpsgoqY9ALsuMsGpRtG2aC1nnqNPjfWzhiGmspIyeXidkDzzeD6qWse31JCSKMo5gmw/JQ3LnvHQ16Og11TbLG0NO1yRW8i0vEyPF30/sgCB7H94+yMRa+fhKTi7FIntDPUQHIum1jrRVhag/0MJXwhfrr5Fksr9aY4W+oictsoGMlowauy1RMV8YUMxtoZ44/pXWWud6U6ZUMgRTwBelrqYY6TZBry6igpyInmuxx6GS1TE39JzTWPbyohpMHlFvMw74g7HgWnQElBDvvm2Ff5ZJ/P5WPWofKlmhtH2VQ5kfD+1/1Er9de8selz3vB2VIX+Vw+Fh3zwIUGWI4am1GIkX++wJFKKwv+ndUd55b1rHJFgqzwepeFyvfR8V2N8fs0u2YTVADA0Tcx8IjJgrqSPHZO+fAQSGWzHM2hoiiHoMRcicqupHloPt9WQkiDSc0rxvT9rnCPzoSmsgJOLnLE0I4tqzz259JaD2WW9Wtb5XHWrTRhrK0CAPCJzUZuEQ/HFzliQldj8IUM/nfJH789lN5y1Nv+Sei36yki08TzIHh+NwSjbY2kco2GtO95lNj7id1M8Nu05tNTAbBZWXeWzsvZOLqDKM9JbbRQV8KU0oRZh19FfeBoIouazzeWENIgYjMKMXWfC4KTcqGvoYRznznDyVKy4BUAvAhLw/kKPQ2XP+/53nPf/aq816LvzqdQVpDH79O7YmVpZsu/HodjzUX/ek3UK+YJsOlqAFac8RbbPqxjS0RtGyXKtyHLknKK8Cg4RfR+eKeW2D3VTqZ7WCoTCBmsuegHLl+IPlb6mOVoXudzLerdBhwO8Cg4FVFp+VJsJWkMFFgQ8gkLTsrF5H1v8C6jEGa6qri0vFe1Rbdyi3n4vMKETXk5Duxb6773/NpqiqKnT4BN8sThcLBmuDW2T+oCeTkOLnvHY+Exd+TWYTlqZFo+Bu95jtNu4ssTjy5wwIF5PWrdDd9UZhxwFXv/32z7ZhVUAGzvgndsNjSUFfDrFFuJyb61YWmggcE2bI9Z5WEtIvsosCDkE+URk4np+12QlseFTStNXF7eCxb61c/e/+VWMApKynNWuG8cXKPrbJvYRfR64TEPCITs0MdMR3Mcmt8D6kryeB2Rgal7XZCYXfPlqFd94jF4z3MkVPqM7/dDMdDGsMbnaWoXPOPwLqNQ9P7SctmeC1KViNQ8UfbVzWM6wESn/hNkl/Rll55e8opHVgElzGpOKLAg5BP0JCQFcw+7IbeYjx6tW+D8sp4w1FKp9vhnoaliQyBDO7aEXg2HGJQU5LB9Unlw8efj8nTaA60Ncf6znjDUVEZoSh4m/vcaQYk57z1fYQkfay764ZvzfmLbJ3c3RfT2UdBRU6pRu2TBVZ94/O+S+EqQHhbv7wWSNXyBEKtLh7P6tzfANCkt5XVqo4vOJloo5gkpYVYzQ4EFIZ+Yqz7xWHrCC8U8IQZaG+DkYidoqylWe3xOEQ/rK1TaBIC9s7vX6pozHMpvNn89Dhcb9uhsoo2rK3qjfUsNpORyMW2fC55Xsxw1LCUPfX59ikte8WLbzyx1wp5pdvXqfm9sl73i8e0F8eBoxcCqJ8LKsgMvo+AXlw1NFQXsmNxFav8P2IRZ7FLnY29iwOW/P8MrkR0UWBDyCTnyKhrfnPeDQMhgYjcTHJjXA6pK76+O+fOtt0jOLS5/P6FzrVcqcDgcXPmil+j90uPiOSZMdFRxcXkv9LTUQ0GJAIuOeeC8R/lTKsMwOO8Ri2G/v0BmpW7xgB+Hiap/NheXvOKx5pKfxPLS1UOtm6ZBdRSanIc/HrI9UD+M7ST1HCGjuhihlZYK0vK4uOWXJNVzk4ZDgQUhnwCGYbD7fih+usUuFV3Y2wJ7ptp9MJPj4+AUid6Buc41T3hUUXfzFtBVZ4cp3KIzEVlptr+2qiKOL3LEpG4mEAgZrLscgD0PQpFXzMOXZ32wrlKvyYJeFojePkqsIFpzcMEzDmurCCos9dWbzWRTgK3BsuaiH0oEQgy2McTk7iZSv4ZYwqxXlDCruaDAgpCPnEDIYNO1QPzzNAIAsGZYe3w/puMHb2I5hTxsuCJ+M7+xsne92nLryz6i14P3PJfYr6Qghz3T7PDlIHY56t9PItDlxwe45S/+tHr1i174cVynZjX0AbCVYtdd9gfDsEtKKzq1xKmJWlU3+55FIiAhB9qqitg2SXpDIJXNcjSHqqI8gpNy4RKZ0SDXINJFgQUhHzEuX4Avz3rjjFssOBzgl4mdsXJQuxrdBLbcDEJqHlf0XlNZAbamOvVqj7GOKkZ3KU9W9SAoWeIYDoeDb4e2RydjLYl9CnIcvP1pOLqZt6hXO5rCWfdYrLscAIYB5vdsDeuWmmL7jaWwkqKxvE3MxV9P2CGQLeM6oeV7Jv7Wl7aaIqb1YJcsH3pFS0+bAwosCPlIlaXOvhOQDEV5Dv6Z2R2za1i34UFQMq74JIhte7luoFTa9esUW9HrZSe9JJJj5RTxsOykF4KqKFb2/H8DoaakIJV2NKYzbrGi3p8FvSywcXQH/PUkQrS/YtE2WVfCZ4dAeAIGwzq2xPiuxh/+UD0tLE2Y9SQkFRGpeQ1+PVI/FFgQ8hHKLCjB7IOueB2RATUleRxd4FjjtNZZBSXYeDVQbNv4rsZSW8apoayAjaNsRO//flK+/NQ3Lht2Wx7g4duUqj6Kif++RmDC+5ejyppTru+w8SobVCzsbYEfxnbEnQDxoZ2KRdtk3b9PI/A2KRct1BTxy8SGGwKpyEJfHUM7sENHh1/FNPj1SP1QYEHIRyYhuwhT9r2BX3wOWqgp4uxSZ/RpV/NVEz/cCEJ6Plds22/Tukq1jYt6txG9/vtJBNLyuDj0MgoT/n0tdpyuuhJCfh6BN+sHwbqlJlLzuJi+3wVPQ1Ol2p6GctIlBt9dY4O0xX3a4PsxHcHhcPDf00jRMRWHhmRdYEIO/i2dq/PT+M4w0Gy8dOlL+rJLT694xyOj0veTyBYKLAj5iESk5mHK3jeISiuAkbYKLi7vBTsznRp//l5gEm74JYpt2zXFVuqZIBXk5XC0Qql1h18eYevtYLFj1o2wgffmoVBRlIexjiouft4Tva3Y5ahLjnvirIwnTTr+JgabrwcBAJb2bYPvRncAh8OBT2wWwlPLV8TsnmrXVE2sFS5fgDUX/cAXMhjVpRXGNHJhNweLFrA11QaXL5RI4U5kCwUWhHwkfOOyMXWfC5JyitHWQB2XP+8FK0ONGn8+I5+LTZWGQABUWTpdGt6XdvvRt/3x+QDxZFFaKoo4usARk7qzy1E3XAnArvshMrkE8ejraPxwgw0qPutniY2jOoiGDI6/iREdx+Hgg3lEZMXfjyMQkpwHPXUl/Dy+c6OvyOFwOFjch+3pOuESg2IeJcySVRRYEPIReBmehlkHXZFVyIOdmQ4uLu9V61UG398IQkal5FP3vu4rzWaKCIWMqEu9otZ6agjdOqLagEhJQQ57ptph1eB2AIB/n0bim/O+9aqOKm2HX0VjS2lp+eX922L9SBvRTTg1rxjXfMt7hG6s6FPlOWSNf3w29j5nh2+2Tuhc43Tu0jaqixGMtFWQnl8i0bNGZAcFFoQ0c7f8E7HomAcKSwTo204fZ5Y4iRJR1eYctyvlimippQybVpJLPusrLY+L6QdcsOt+qMS+b4e2h7LC+5/gy5aj7pxsCwU5Dq75JmL+EXfkFNW+Oqq0HXoZhZ9Lk5B9MaAt1o2wFnuyP1OpC7+LadWVZGUJly/A6gtsttaxdsYY2YRzQhTl5bCgNGHW4ZeUMEtWUWBBSDN20vUdvjzrA56AweguRmy1UOXaLcdMz+fi+9K5ABU9+ra/tJop8iYiHQ6/PIJHTFaV+78654uikpp1cU9zMMORBQ7QUFaAS1QGpux9g/iswg9/sIEcfBElmieycqAV1g4XDypK+EL88ah8Bczqoe0bvY118cejcISn5kNfQxk/jevU1M3BDEdzqCnJIzQlD68i0pu6OaQKFFgQ0gwxDIO/Hodj87VAMAww28kcf83s9sGn/arOs/laoET9jZmOZlJNlS0QMvjtQShmHXIT225rqo3wX0Zi5UAr0baK1U8/pF97A1z4rCdaaakgPDUfE/970yTLUfc/j8Qvd9igYtUgK6we1l5iDsLdQPEeoZWDrCDrfGKzsL90CGTbxM5oUcuesIagraooqqB66CUlzJJFFFgQ0swIhQy23HyL3x6GAWBvZFsndK7Tyo2b/km4G5gMhUqf/WVCl2o+UXspucWY8O9rsYRQALBnqh1urOwDRXk5rKgQWOx7HomE7KIan7+jsRaurugFm1aaSMvjYtp+FzwNabzlqHufRWL73RAAwFeD2+HbYdZVTmw8UiFrZAcjLZlPR17MY1eBCBlgYjcTDOvUqqmbJLKoNGHW87A0hKVQwixZQ4EFIc0ITyDEtxd8cax0ZcEPYztWeyP7kNS8Ynx/nV0FwheWj1X/PbOb1IphPQtNhdO2xwio1IvgsmEQJtubit6rKsnjt2nlyy7XVCon/iFG2qq4sLwn+ljpo7BEgCUnPCXmMzSEf59G4Nd7bFDx9ZB2+Kaa4Q2/uGz4xZf/Do4vcqjyOFny28MwRKYVwFBTGT+M7djUzRFjrqeG4R3ZQOcIpfmWORRYENJMFJUIsPSEJ675JkJBjoM/pnfFwgqJpmqDYRhsuhqI7EKexAqMsVLIAskTCLH9bjAWHPUQ297bSg+R20ZVWV57QlcTUc+JS1QG3KMza3VNLRVFHF3ogCn2phAIGWy8GoCd90IgFDbMBL9/noSLJqB+O7Q9vh5S/ZyJiktMAcBQs+Fqa0iD17tMHHwZBQDYPqmL1LKuStOSvux3/4pPgkRCN9K0KLAgpBnILizBnMNueBaaBhVFORyc1wMTutW9TPU13wQ8fJsCRXkOotMLRNsfr5bOhM2Rf77E/udRYtv+m90dp5c4VztkIyfHEavwOeewGwS1DAoU5eWwa4otvh7CLkf971kkvrngCy5fujkP/nocjt0P2KGoNcPai5a/ViUtjytWd2X/XHuptkXaikoEWHORrcA6xd4Ugzu0/PCHmoB96xawM9NBCV+IU67vmro5pAIKLAiRcSm5xZi+3xVe77KgpaKAU4ud3ptcqibn+/EGuyRyYjcT0c27jb462hrUPKHW+0RUyCwJAB6bhmBUDZYpOlvqoUdrtnJpCV+IC55xtb42h8PB10PaY9cUdjnqdd9EzDvsjpxC6SxH/eNRmGh+y9rh1lg5qPqgAoBEhtDhMjRXoSq77ociOr0ArbRUsHmMbA2BVMThcLCkNGHWSZd3lDCrVAN10NUKBRaEyLDo9AJM3vsGoSl5MNRUxoXlPdHDQrfO52MYBhuvBCCniIcuJtq44Bkv2nd7Vd2TNVXXIzCiUytEbRtVq5oSOytUP91Q2ta6mNrDDMcWOkJDWQFu0ZmYvO8N4jLrvhyVYRj89jBMtGR03QgbsUmnVeEJhNj3vLwuyKTude9lagxuURk4+oads7Bjchdoq0pvZVBDGNm5FUx0VJFRUILrvgkf/sAnRFqBdF1QYEGIjApMyMHUfW8Qn1UECz01XP68V70TVl32TsDjkFQoycthROfyJ+dFvdvUuRz5u4wCDNr9XGL70YUO2DfXvtYTQS0NNDDH2Vz0/o9HYXVqFwD0aaePi8vZ5agRpctRA+JrvxyVYRj8/jAMf5Uuhd0w0kYi5XhV7gYmo7BCXo7tk6S32kbaCkv4WHuJHQKZ4WCGAdZ17xVrLAoVEmYdooRZYsFEbVZWSRsFFoTIINeoDMw84Ir0/BJ0NNLCxeW9YKarVq9zJuUUYctNNhHWV0PaiWW+3DymQ53Oecs/Ef13PZP4I+azeSgG1uPGtHqotej10dcxiEzLf8/R79fBqHw5ano+uxz1SUjVZdmrwjAM9jwIEy2X3TSqAz7r/+GgAhCftKmqKF/rPCON6de7IYjNLISxtgo2ja7b96EpTHc0g7qSPMJT8/Ei/NNKmMUwDMJS8rD6gh8s1t+G3U8PRPuaMs09BRaEyJgHQcmYd8QdeVw+nNro4txnzvUuT80wDNZfDkBeMR92ZjpIyyufRX9wXo9aL1ct5gmw4Yo/Vp7xqXJ/fRMptVBXwqZR5Te3DVcC6nU+I21VXFzeE33b6aOIx1ZHrcmEP4ZhsOt+KP4prWvy3egOWNrPskbXDIjPgde78gyjV1f0qlvjG8GbyHQcd2F/Hzun2Ek1OVpD01JRxHQHtofr0MuoDxzd/BVw+Xj4NgWfn/JCmw13MOz3F7jsHS9xnJJC093ea3Xl7du3w8HBAZqamjA0NMSECRMQGiqZ758QUjcXPOOw/JQXSvhCDO3YEscXOUJLCn/kL3rG43lYGpQU5LB1fGdRHgwAGNqxdrP+I1Lz0XvHE5x1r/3EytqY16u16LV7dGa9k15pqijiyAIHTOthCiEDfHctEDvuVr8clWEY/HovFP89Y+dIfD+mI5b0rVlQAUDsdwygQequSEM+l4//XfIHwGZw7dNOv4lbVHsLe1tAjgO8DE9HaPLHlTCLYRhEpObj0MsoTNvvgk4/3MfSE564G5jc1E2rVq0Ci+fPn2PFihVwdXXFw4cPwePxMGzYMBQUFHz4w4SQ99r/PBL/u+QPIQNMtTfF3tndoaJY/67zhOwiUWGs1UPbY9W58l6GF2sH1upcV7zjMeS35xJVUP1/HFbvdlamrCCP/2Z3F71fcca73t27ivJy+HWyLb4tTWS173kkvjovuRyVYRjsuBsimnj549iOWNSn5jlD0vO5Yk+RFXtfZM32O8GIzyqCaQtVbJDhdr6Pma6aaM7Q4VfNv9eiqESAJyEp+P56IPrteoohvz3H1tvBVeZ20VZVxM4ptlCUl51MrrWarXXv3j2x98eOHYOhoSG8vLzQr18/qTaMkE9F2U1s/wv2D+Jn/SzFSm3X99zrL/sjj8tHN3MdDLIxFKWf7mikBXO9ms3bKCzhY9PVQFz1EZ95v7C3Bb4f07HB0lOP7NwKNq00EZKch8ISAU64xNSq16AqHA4Hqwa3g7GOKtZf9sdNv0Sk5BbjwFx76KgpgWEYbLsTjIOldSh+Gt8J83pa1Ooa5yotMS1L5iRrXoan4XRphtKdU2yhUcsCdrJkcR9L3AlIxjWfRKwdblPv4cPGFpNegKehqXgWmgaXqIwPBtHrR9pgSZ82EDLAhH9fgydgMKRDSzwKrvn8oYZSr29RTg47u1pXt/rlb1wuF1xu+Xhubm5ufS5JyEeFLxBi49UA0bLPDSNtajwxsCbOusfhZXg6lBXksHuqHQbvKV+9ceWLmo35hyTnYuK/b1BUKU/A1S96oZt5C6m1tSocDgfbJ3XBxP/eAAC23g7G+K4mUrlpTLE3hZG2Cpaf9IJ7dCYm732DYwsdcexNDA6Xpon+eXwnzK1lUMETCHHsTfn8je7mOjJZFySvmId1pUMg83u2Rq+2zW8IpCL71i3QzVwHPrHZOOn6TtQrJauKeQK4lQ7xPQ9LE0tUVx1nS138Nq0rjHXKM9f+9jAMb5Ny0UJNEdsmdcajX5pxYCEUCvH111+jd+/e6Ny5c7XHbd++HVu2bKnrZQj5aBXzBFh11gcP3qZAjgPsmGwrqtooDfFZhfjlNjsEsna4Nd4mlgf1KwdafXCYhWEYnPeIw/pKEyeVFOTgs3lorcuz11U38xYYY2uEW/5sddDd90Pxa4VcF/XR20ofFz/viYVHPRCZVoC+O5+K9m2d0BlznFu/59NVux+ULJZi+tB82awL8svtYCTmFMNcVw3rRto0dXOkYkkfS6w4441Tru/wxYC2UhlKlKa4zEI8C03F09A0vIlMRzGvZkN7++bYY1jHlhJLtwPic/Bv6cTinyd0lplU8XX+y7BixQoEBgbi1atX7z1uw4YN+Pbbb0Xvc3NzYWYmvT+ehDRHucU8LD3uCbfoTCgpyOHvmd2kmpFRKGTwv0v+KCgRoEfrFljQywJWm+6K9q8e9v6nubxiHv53yV9igtiqQVb4dph1NZ9qOOtH2ogCi/OecZjbszU6m2hL5dw2rbRw9YvecN7+WLRtSAfDOgUVgGRdEF0ZKDVe2bPQVJzziAOHA+yealfnHCayZninljDRUUVCdhGu+iRgpqP5hz/UgLh8ATyis0qDiVREptV8PuKCXhZYNbhdtd8fLl+A1Rd9IRAyGG1rhDG29a/xIy11+jatXLkSt27dwosXL2BqavreY5WVlaGs3LzGughpSGl5XCw46o6gxFxoKCvg4Lwe6NlWT6rXOO0eizeRGVBRlMOuqXbYXFrFFACOL3J8b9d8YEIOxvwt+cBwZ1VfdDRumpUNpi3UsLx/W9Fkys3XA3Hl815Sm4fy3zPxku5PQlJx0iWm1sMggQk58IgpX2J6bKHs9VbkFPGw/jLbC7WwVxs4tql7JldZoyAvh4W9LbD1djAOv4rG9B5mUqvUW1MJ2UV4VjpX4nVEuliCtA+xNFDHr5Nt0aN1iw9+t39/GI6wlHzoayjh5/HVjxo0hVoFFgzD4Msvv8TVq1fx7NkztGkjmxOSCJFVcZmFmHvYDTEZhdDXUMKxhY5Se/IuE5tRiO13ggGwaaf1NZTElob2b29Q5ecYhsEJl3f44UaQ2HYDTWW8/N/AJu9W/mJgeWDhE5uNm/5JGFfPSqxCIYPvbwTilGssOBx2+CMgPgfnPOKw+XoQ4rOKsG6ETY1vTpV7K2Qxe+XPt94iObcYbfTVsXZ44/c+NbTpDmb441E4IlLz8Tw8rV6J2mqCJxDCM6a8VyIsRTyZWws1drl41ntSbG8e0xFTe5jWeGm517ssHHjB/lvYNrGLzPWK1SqwWLFiBc6cOYPr169DU1MTyclsN6m2tjZUVSXLIBNCyoUm52HuYTek5nFh2kIVJxc7oY2+ulSvIRQyWHvJD4UlAji20cX8nhbouaO8i99lw6AqP5dTxMNX53zwLDRNbPv6kTZYLsXJpPWhpaKIn8d3wubrbOCz8UoAhnZoCVWlugU8QiGDzdcDcdqNDSp2TrbF1B5mYBwZmLZQxe4HYdj/Igrx2UXYM9Xug4FVZkEJLnqVLzGd5dS03fBVeRycgkte8eBwgF1TbOv8u5NlmiqKmOFghkOvonH4ZXSDBBbJOcV4HpaKpyFpeBWRjnwuX7RPjsPOCzLUVEZaHheeFZKkVTSiUyusHGRV6wcLtvqsH4QMMKmbCYbJYFG7WgUWe/fuBQAMGDBAbPvRo0exYMECabWJkI+O17tMLDzqgdxiPqxbauLEYke01JL+RKuTru/gFp0JNSV57J5ih7DUPKTkshMJHSxawEhb8gHAJzZLtOqiokff9oeVoXSqnUrLTEdz9mafVYR8Lh/7nkfimzrM/hcKGWy6Foiz7mxQsXuKHSbbs8O6HA4HKwexy1HXXfbHbf8kpOYW4+C8HtBRq/7JsHIV0y3jOtW6XQ0pu7BElMF0SZ829SpmJ+sW9LbAkdfReBWRjuCkXHQwqt8QHl8ghHdstmg5aHCS+OpGPXUl9Lc2QEcjLWQWlOCEyzuxrKtlNJQV8MPYjhhta1TneS0774cgOr0ALbWU8cNY2fqOlan1UAghpHaehqTi89NeKOYJYd+6BQ7Pf/8Nqq5i0guwozRHxfqRNjDXU4PF+tui/aeXOIsdLxQyOPwqGr+UDpuUsTRQx92v+spkXQsFeTn8NL4TFh3zBAD8+Tgc0xzMYKJT8x5ToZDBxqsBOOcRBzkOsGeaHSZ2k5wrNqm7KVppqeCzU17wiMnCpL1vcGyBY5W5P/gCIU5XSBHeQk0RivKyVTFhy823SM3jwtJAHaubYAJuYzJtoYaRXYxw2z8Jh19FY/dUu1qfIzWvGM9D0/AsNA0vwtOQV1zeK8HhAHamOhhobQhnS10k5RTjgmccrnhXXWF1QS8LzHYyR7uWmnX+mQC2htDR1zEAgF8n20JbTTZTr38cU4EJkVHXfBKw5qIf+EIGA6wN8N/s7g0yA79sCKSIJ0BPSz3McWqNi57l8yrWDrcWqx2QWVCCL057wTVKPJPfzxM6Y24dV0M0loHWhuhtpYfXERkA2MyR/8zq/oFPsYRCBuuv+OOCZzzkOMBv07piQrfqS5n3stLH5c97YcERd0SlFWDS3tc4PN8BdmY6Ysc9fJuCxJxi0ftLn8tWXZD7Qcm46pMAudJVIE09X6YxLOnTBrf9k3DdNwH/G24Nww/0EAqEDHzjsvAsNA1PQ1MRmCDeK9FCTRH92htgoLUh+rbTR2RaAa54x2P6Adcqz2drqo2lfS0xrFNLqQTpBVw+1l7yAyD71WcpsCCkgRx9HY0tN9k8EuO7GmP3VLsGe4o9+iYGHjFZUFeSx87SHA9rS5MfAcAXFUp8u0dnYtp+F4lzvFg7sMaZOJsSh8PBplEdMeqvlwCAW/5JmOucASfL96+sEQgZrLvsj0tebFDx+/SuGN+1+qCiTPuWmri6ojcWHfNAUGIuph9wwd8zu4vVWDlaadJmWwPZGULKLCjBpqvsEMiyfm3RvYGTmsmKbuYtYN+6BbzeZeGk67sqe2ky8rl4HlbeK5FdaYKlrak2BrQ3wAAbQ9iZ6iAhqwhXfOKx7U4wUisU8qto5UArTOthJvV/S9vuBCMuswgmOqoyX32WAgtCpIxhGPz+sLzM9oJebNrrhlr2FpWWj5332CGQjaM7wExXDV9VqAdybpkzOBwOhEJ2WeXuB2Fin+9qpoOLy3vKXNf9+3Q01sJUe1PRZMkfb77FrS/7QL6a37GgNK/HZe94yMtx8Mf0rhhbixUlLbVUcP6znlhx2hvPw9Lw2UlP/DiOTfX9NjFXrIbDzxNka+nfDzeCkJ5fgnaGGvh6SLumbk6jWtKnDbzeZZUmzLKCsoIc/BNy8DQkFc/C0uAfn42KI/xaKgro194AA6wN0b+9AQw0lZFbzMMd/yTsuBMC9xjJWh0AMMjGEDMdzTHQ2gAKDfDvqGLq9V1TbGW++iwFFoRIkUDI4PvSlQYA8O3Q9vhykFWDpXQWCBmsveQPLl+IPlb6mOVojpxCHq77JoqOcbbUQ1oeF0tOeMIvLlvs879Ns8Ok7u/PRSOr1gy3FgUWwUm5uOAZV2VCJIGQwdqLfrjikwB5OQ7+nNG1TsmENJQVcHh+D2y+Hoiz7nH4/noQ4jILJZ5yZWko6U5AEm76JUJejvPJDIFUNKxTK2gqKyCrkIcO39+DrroSMisV0OtopIWBNuwQR1czHSjIy4EvEOJVRDoueyfgpl9ilefW11DGgl6tMcXeDK20Gy7jZW5psjqgNPW6leynXqfAghAp4fIF+PaCH277J4HDAX4a3/DzFY68iobXuyxoKCvg1ym24HA46LPziWi/+6bBeB2RjtmH3CQ+67JhUJWrRJqLlloq+HpIO/zxKBwAsO12MEZ1MYK2avnTnEDIYPUFX1zzZW+uf8/shlFdjOp8TQV5OWyb2AWmLdSw636oqFBZmV5STnRWH+n5XHx3jU2M9nn/thLzQj5WQiGDoMRcUV6JvApLQTMLSqCprIC+7fUxoL0h+lsbiK3OCk3Ow2XveFz1SUBaNUMdo22NMMPBDL3b6jdK8q2fb75FUk4xLPSaT+p1CiwIkYICLh/LT3nhZXg6FOU5+H163Z6KayMiNR+7HoQCAL4b3QEmOqoIiM8RzV7vbaWHky7v8PcT8ayS/dob4Mj8Hg3SZdvYlvWzxEmXd8goKEEel4+/Hodj85iOANiVGqsv+uG6byIUSoOKkfUIKspwOBysGGgFEx1VfH3eV2zf3jn29T6/NDAMg83XApFZUAKbVpr4crBVUzepQeUU8vAygp0r8Sw0TaxWS0Wf9bPEmuHWYsN+GflcXPdNxBWfeIkJm2XaGqhjpqM5JnYzgZ5G42WSfhycgouleUeaU+r15tFKQmRYZkEJFh7zgF9cNtSU5LF/rj36tqs6u6W0lN00S/hC9GtvgOkObP2dsf+Up+JOzimWCCr2zu4ulZurrFBTUsC6kTairuLDr6Ix09EcFnpq+OaCH276sUHFP7O6Y0Rn6SYSGmNrJBFYZBeWiPWYNJVb/km4G5gMhdIhEFlcOlwfDMMgOCmvNK9EKrxjsyEQlk+WUFeSR28rfQy0YedKHHsTgwMvohCQkANFeTlw+QI8CU7FZe94PA1NE/tsGXk5DiZ0NcEMR7MapdiWtqyCElEBwOaWd4QCC0LqITG7CHMPuyEyrQA6aoo4usChwUuJA8DBl9Hwi8uGpooCfp3cBRwOBycr5FEAIFHwyH3TYJmpfihNk7ub4tjrGLwtTVq05WYQtFQVcds/CYryHPw7q3uDZCd8FJwqsW3Sf29waH6PRvkOVCc1r1hUG2bFwNpndpRVecU8vI5Ix9OQNDwLSxUlfivTzlADA6zZuRI9LHTFllfP72WBw6+i8SYyA5P+e43ItALkFFWdYruTsRZmOJpjnJ1xkwaJP9wIQloeF22bYd4RCiwIqaOI1HzMO+yGxJxiGGmr4ORiR1gZ1i8BTk2Ep+Th94fsyo7NYzrCSFsVAiHb9V2V0V2M8PfMbo1ejKmxyMtx8N3oDphVOo/kZXg6AEBRnoP/ZtuLLQuVpmNvxOdXdDbRQmBCLmYedMVfM7o1SaplhmGw6Wogsgt56GikhRUDm+8QCMMwCEvJF/VKeMZkgV+hZ0FVUR69rfTQ39oQA9obwEy36uWdidlFuOaTIOqV8I7NljhGQ1kB47saY4aDObqYNn0gdjcgCTf8EksTuHVtdpNuKbAgpA784rKx4Kg7sgp5sDRQx8nFTrXK/lhXoiEQgRADrQ0wtTQN9bh/JKuRAsDRhQ4NXoRJFvSy0ke/9gZ4EVZe6+Tvmd0aLKgISc4VSy62qHcbrB7WHivPeONpaBo+O+WFH8Z0xILejVuo8bpvIh6+TYGiPDsEUvGpvTko4PLZXonQNDwPTRVLOgYAlvrqGGBtiAHWBnBso1vtDbeAy8e9wGRc9o6HS1QGqksabd+6BWY4mNUrxba0pedzsals0u2AtujaDCfdysZvkpBm5FV4Oj476YmCEgFsTbVxdIFDo03o2v8iCv7xOdBSUcD2SewqkHPusQhKlJx05r15qMxVPWwoJXwhErOLxLbFZRZVc3T9HX8jPuy0aXQHyMtxcHBeD3x/Iwhn3GLx4823iM8qwsZRHRqltyglt1hUmXbVoHZNVuK+NhiGQWRavijbpXt0JniC8ihAWUEOPdvqYWBpMNFar/qifUIhA5eoDFz2jse9wOQPlit/8E0/tK9nim1pYxgG310tn3S7anDzzDtCgQUhtXAnIAlfn/NFiUCI3lZ62D+3BzSUG+efUUhyLv54xA6B/DiuE1qoK2LztUCJuRXTe5hhR+m8i09BCV+IlWe8EZEqXq76j0dhmNDNBAaa0g36sgtLcNWnvIqpsbaKKDGXgrwcfpnQGaYtVLHzXigOvYpGQnYRfp/esN3ZDMNg45UA5BTx0MVEG8sHyEZF2qoUlvDhEpkhCibis8QDQHNdNQy0ZrNd9rTU++DvLTItH1e843HVO0Gih6Oi3lZ6aKGmhFv+SdBRU4RpC9lban3DLxH3gthJt3umNd9JtxRYEFJDZ9xiselaABgGGNWlFX6f3rXR/uHzBEKsuegHnoDBkA4t0d28BXrveIL0fPFkP2eXOqOnDOVSaGglfCG+OO2NR8EpUFKQw6+Tu+C7q4EoKBGgoESAPQ9CsWOyrVSvecEzDsU8oej9uWU9xfZzOBx8MYBdjrr2oj/uBiYjNc8NB+f1aLAepMveCXgckgolebkGTR1fV9HpBaJsl65RGSjhl//+lOTl4GSpiwHWhhhobYA2+uofDIqzC0tw0z8Jl73i4Vsp6VtFhprKmNrDFNN7mMNcTw0CIQP/+BzEZhbisneCTCUzS8ktxvfXS3ucBrdDJ+Omn+tRVxRYEPIBDMPgv2eR2HWfzRkxy8kcP4/vXG366Iaw91kkAhNyoa2qiF5t9TBg9zOJY3w2D0WLT2ToA2ATkq047Y1HwalQVpDDwXk90K+9AVJyuaIqr+c84jDbqbXUJuQJhAxOuIj3EFVXE2J8VxO01FLBshOe8HqXhcl73+DYQof3dufXRVJOEbbcZG9IXw9tB+tWTd+9X8wTwDWqvFfiXUah2H4THVVRtsuebfVqNL+BJxDiWWgarnjH43FwKkoEwiqPk+OwhepmVJFiW16Og0W9LfDjzbc48ioasx3NZWJSM8Mw2FChx+lzGe5xqgkKLAh5D6GQwdbbwTjyml0BsHKgFVYPa9+owwxBiTn46zGbXbKoRICfbr2VOGbbxC6fXFDx+SlvPAlhg4pD83uIcocs6GWBky7vkFA652LLzSBcXN5TKv/PHgeniHXdlxV8q46zpR6ufNEL8494IDq9ABNLl6NKqxAYwzBYfzkAecV82JnpYFlfS6mcty5iMwrxLCwVT0NS4RKVIdaroyjPgYOFLgZaG2KgjQHaGmjU6P8Hw7BZNC97x+OGbyIyKqXjrsi0hSqm9zDD1B7vT7E9tYcZ9jwMQ3R6AZ6EpGJIA03wrY2LXvF4UtrjtGea7PU41RYFFoRUgycQ4n+X/HHVJwEAu7RzcZ/GneVfwhdizUV/0TK76p7SZjlJ1sj4WBXzBPj8lBeehqZBRVEOh+c7oHeF+gkqivJYN9IGq86yhdg832Xhpn8SxtWi6Fh1jrvEiL2f1sPsg5+xMtTE1RW9sPiYJwIScjDzgCv+nNFNKgm7LnjG4XlYGpQU5LBnqm2jZlPl8gVwj84U9UpEVcqbYqStIlrB0dtKv1ZzkVJzi3HVJwFXvBMQmpJX7XGK8hwM69gKMxxrnmJbXVkBs5zMsf95FA69imrywCIhuwg/l1ZB/nZYe5mbUFoXFFgQUoWiEgFWnGGfiOXlONg1xbZJinX98zQCwUlVpxkuc+vLPo3UmqZXzBPgs5NeeB7GBhVH5jtUWZRprK0RjryKFo2/b78TjKEdWkJVqe5zYsJS8vA6IkP0fpBNzZfxGmqq4NwyZ6w664PHIan4/LQXNo/uiEX1CFQTsovw861gAMCaYe0bJYdKfFZhadrsVLyJzBBbeaEgx4F96xYYaMMGE9YtNWvVS1TME+B+UDKueCfgZXgaqkiGKWJpoI6ZDuaY1L1uKbYX9LLA4ZfRcI3KRGBCTpMlEWMYBusu+SOPy0d3cx0sbcIeJ2miwILIBIZh0GbDHdiZ6eDq572adNwzp4iHxcc84PkuC8oKctg7pzsG2TT+U417dKZoCKSiWU7mOFNaPVVbVfGjyaz4IcU8AZae8MTL8HSoKsrjyAKHaieqcjgcbB7TAZP3ugAAknKKsfd5JL4d2r7O1z/+Jkbs/V8zu9Xq8+rKCtg/1x4/3gzCKddY/HSLXY5atlS1NspuSPmlN6TFfRrmhlTCF8IzJhPPwtLwNCQV4ZVW3hhqKouyXfZupw+tWpbzZhgGHjFZuOwVjzsBSWIFwypTUZTDqC5GmOloXu8U20baqhhta4Trvok4/Coav0/vWudz1ccpt1i8ikiHiiI76bYx5201JAosiExYdc4XAJt4ynLjHawdbo2p9qYw1GrcFNSpucWYd8QdIcl50FJRwOEFDnBoghz9AfE5mLbfRWL7nVV9Meqvl6L3L/43sDGb1WQqBxVHFzrA2fL9q1/sW+tidBcj3A5IAgDsfx6JaT1MYdqi6smW75NTyMMV7wSxbXVZZqwgL4efx3eGaQs17LgbgiOvo5GYXYQ/ZtRuOeoZd/aGpKwg3RtSUYkAz8NSkVXIw7PQVLwKT0dBhV4JOQ6bVKpsiKOjkVadbvCxGYW47B2PKz7xH8w30tFICzMdzTCuq4lUU2wv7tMG130TcdMvEetG2DRo6fOqxGYUYvsdtsfpf8NtYGmg0ajXb0gUWJAm9/BtCm76JYpt23U/FL8/DMOQDi0xy8kcfawavkRxTHoB5h5xQ1xmEQw0lXFikSM6GDVukiGGYXDOIw4bSosPlTHSVsGT1QPEltZN6i7dP7SyqqiEDSpeRaRDTUkeRxc4wOkDQUWZdSNs8OBtMngCBly+ENvvhuDfWd1r3YaLXnEo4pXfYC9/3vM9R78fh8PB8v5tYayjijUX/HAvKBkzD7ri0LweNerWj8ssxC+3S29II6RzQ0rILsKsg64SqzcAQF9DCf3bs4FEv3YG0Far23cut5iHO/5JuOKdAPeYzPceq6GsgHFdjTHTwRydTeoWvHyIrakOHNvowj06E8ddYrBuROOVJBcKGay55IfCEgGc2uhiQS+LRrt2Y6DAgjSpkORcfH3Op8p9fCGDe0HJuBeUDDNdVcxwMMfUHqYNUkgrKDEH8494ID2fi9Z6aji5yKnaZYQNJa+Yh2/O+0oUt9o4ygbL+rHLz2YedBVt3z3FrlHb1xSKSgRYfNwDbyIzoK4kj2OLHGvVg2Sup4YFvSxw8CW7que2fxLmOWfUODABql5iat+6/r1Y4+yM0VJTGctOesEnNrt0OaojLPTfn13yf5f8UVgigKOFLhbW44bEFwjxJCQVqy/4VTkEoSjPwZXPe6OTsVadg3q+QIhXEem47J2AB0HJ4PKrnnxcpru5DmY4mmNMI6XYXtKnDdyjM3Ha9R1WDrSCeiMluzv6Jgbu0ZlQU5LH7ql2MrHkVZoosCBNJiOfiyXH2dTY+hpKEsmeKorLLBL1Ygzr1BIzHc1rPAv8Q9yiMrDkuCfyuHx0MNLC8UUOjV4FNDAhB2P+lqz38ejb/rAyZJ9IK863+G3ax/fHqLLCEj4WH/OESxQbVBxf5Fin0tErB7XDJa94ZBWy1Sx/vPkWt77sU+Phg6chqYjNLH+S/0KKOQacLPVw+fNeWHDUHTEZhZj432scmu8A+9ZVL0c95fYOLlEZUFWUx84ptnX6DsRmFOK8Zyz+fRr53uN4AgaZhSV1ukZoch4ue8fjmk8CUvO47z1WR00Rk7qZYoajWaOviBjcoSUs9NQQUzo0M6+nRYNfMzItHzvvsXlWNo3uUG3xtOaseS+WJc1WCV+I5ae8EJ9VhNZ6ajXunuYLGdwJSMbcw+4YuOcZ9j6LRNoH/nC9z8O3KZh3xB15XD4cLXRxbplzowYVDMPg6OvoKoMK1w2DRUFFCV+I30ormgJokhUqjamwhI+FRz3gEpUBDWUFnFhct6ACYCe4flWh5kJwUi7Oe8TV+POVl5iukXIJaytDDVz9ojdsTbWRVcjDrIOuuFs6L6SidxkF2H6HvSGtH2nz3p6Nyrh8AW75J2LOITf02/X0g0FFmflH3BGXKTk8UpWMfC6OvIrG6L9eYvgfL3DgRdR7g4pebfXw18xucNs4GN+P7dgkyyzl5TiilTlHXkWLKqA2FIGQwZqLfuDyhejbTh+zHD/OZeIUWJBGxzAMvrsWAI+YLGgqK+Dw/B7QUWOTO+lrKOGbIZIz94d3agmFSk9O7zIK8eu9EPTa8RgrTnvjdUQ6hLX4w3DRMw7LT3mByxdiSAdDnFjs2KhzFnIKeZh9yA1bbkomvNo/115sMtmMA+UTOR98069R2tdUCrh8LDjiAbfoTGiWBhX1HXqY7dwalhVuxLsfhCKniPfBz0Wk5onKsANsdc2G6Cky0FTGuWXOGNLBEFy+EF+c8cbhV+Vl2YVCBmsv+qOIJ4CzpW6NU1FHpObjl9tv0XP7E6w844NXEeli+1tXGO4bWSGvRsV/B313PkUxr+qCXly+AHcDkrDkuAectj3GT7feVlkQr+LP+cWAtni+dgDOLHXGODvjJq+HMcXeFNqqiojJKMTj4JQGvdaBF1Hwic2GprICfp1s+9HW86HAgjS6w6+iccEzHnIc4O9Z3STW368abIWxlZIZvQpPx5sNg/C/EdZifwwBtsv2dkASZh9yw6A9z7DveSTS89/fi3HwRRTWXvKHQMhgcndT7Jtj36BFoirzjs2C3U8P8CYyQ2LfhK7GGN6p/I98YnYRvGOzAbAFrz6GBDrVyefyseCoO9xjyoMKaWSpVJSXw/qR5ZPzMgtKqlzKW1nlKqanljjVuy3VUVNSwP65PTDXuTUYBvj51lv8eCMIAiGDY29i4B7DjsnvmvL+YbBingBXvOMxbZ8Lhvz2HAdfRiOzUsZK65aa+G92dyiVJtTqbKKFPdPK5+x0NtHCrgpZRW023wNTWnucYRj4xGbhu2sBcPzlMT4vTavOFzJQVpBD5abJcdicHwfm2sNl/SD8b4SN1NOa14eakoIowdyhCsGctIUm5+H30l7H78d2hLGO7BVBkxaaY0Ea1dPQVGwrXWK1aXRHDLCWTDLE4bAJqWIzC+FXugqioESADZcDcHiBA5b3awuXqAycdY/F/aBksTLLMRmF2HE3BHsehGJ4p1aY5WSOnpZ6oicDhmHw671Q7HvOdgUv7dsGG0Y2TllrgH3yPPgyCttLa1lUZqCpjB/HdRLb1mvHE9Hrh9/2b9D2NaW8Yh4WHPWA17ssaKoo4ORiJ3Q105Ha+Yd2bAmnNrpwi2ZXJBx/E4OZjmbVJpbKLebhsne82LaGvhnIy3Hw0/hOMNNVxbY7ITj2JgZvItMRlsLmj9g4qvox+beJuTjnEYurPgnIK646H4S+hjJWD2uPSd1NsOyEF8JT89FSSxmH5jlITJac2sMMbtGZuOTF/g46/XAfKwZa4bJ3vFiWTU0VBSjKy6GEL0R+hUmgJjqqmO5ghqk9TGGkLds30fk9LXDwRRTcozPhH58NW1MdqZ6fJxDi2wtsVeTBNoaYYv9xD2VSYEEaTURqHlad8YGQAWY4mGFRb4tqj1VRlMfBefYY/dcr0RyKxyGp+OdJOFYOaofeVvrobaWPjHwuLnvH45x7HKLSy//Y8QQMbvkn4ZZ/Etroq2OmoxkmdjPF7vuhOO/Jjq+vG2GD5f0tG607MrOgBIuPe8CntPehzBxnc5x2iwXDANsndhENCwHAs9DyFSKzncwbbdZ6Y8sr5mH+EXd4x2ZDS0UBp5Y4Sf2PO5s0qyPG/vMKDMPO1/npVjCOL3So8jtw0TNeLLNkbRNi1aedy/q1hZG2Kr457ysKKjoYaWF2pdTt+Vw+bvol4px7LPzic0TbFeU5YgG3soIclva1xPIBbaGhrIAfbwSJspcemudQbQ6HLeM6iQKLwhKBqBCfqqI8WmmrgCcQIj2fKwpkFOU5GNqxJWY4NM4ScWlppa2CsXbGuOqTgMOvovHnDOn+v/73aQSCEtkigtsndfloh0DKfJx/pYjMySooweLSlReObXTx0/jOH/zHZaipguMLHcUSQu1+EAbrVloYWprfX09DGcv6tcXSvpZwi87EOfdY3AlMFivLHJ1egG13QrDtTnkvwY5JXTCjESdOuUVlYPoBV4ntT1b3x+LjnmAYYHJ3U7G6BQzDYMFRD9H7rRM6N0pbG1tuaVDhE5sNbVVFnFrsJLVqpJV1NtHGxG4momRXL8LYOheVM6sKhQxOVJq0KY1aI7Ux1s4YN/wS8fAtO+4fkZqH6PQCtNFXh198Ds65x+KmX6IogZWiPAe9rfSRW8RDYGIuADawmNjNBGuHW4t6W065vsOx0iyif0zvWuXv+nVEBr694It7gclVtk1PQwnRFQJ5SwN1zHAww6TuptCvQ4ptWbC4Txtc9UnAbf8krBthI7XeqcCEHPzzJAIA8NP4To2e9K8pUGBBGhxPIMTnp73wLqMQpi1UsW+OPZQUaja9p6OxFg7Mtceyk16ibUtPeOLBN/3E5hpwOBw4W+rB2VIPPxSU4IpPAs65x0qkIC5z4GUU8rl8TOpuCt0GrAoqEDL450kEfn8UJrZ9oLUBDs7rge13QxCdXoCWWsr4fmxHsWN2lj4dAsB/s7t/lE85OUU8zDviDr84Nqg4vcSpwVOUrx1ujTsBSaLqmz/fCkYfKwOx7+SzMPFS36O61L9gWG1FpObjeVia6D1PwGDQnucSx1nqq2OagxmEDIOjr2NEPXyOFrrYNLoD7CoMJ70KT8cPN9gS62uHW2NEZyPRvsg08X8rZcGXhZ4adNSUxJKzxWcVQVlBDqNtjTDDwRwOFvVLsS0LOptow9lSF65RbMKsDSM71PucXL4Aqy/4gS9kMLJzq0YPTpsKBRakQTEMgx9uBME1KhPqSvI4PN+h1jfyYZ1aYf1IG+yoMC9h2O8v4LN5aJWlwluoK2FxnzZY1NsC94NSsPyUl8QxUWkF2Ho7GDvvhWJkl1aY5WgOxza6Uv3jmJpXjHmH2fTgFe2b0x0jOhvBPTpTVI59xyRbsZn4xTwB9j4rXxI4qosRPjY5RTzMO+wGv/gc6KixPRWNUffESFsVS/ta4u/Sp8jo9AIcfxODpf3K620cqzRpc8/Urg3erorKliWW8IVQU5KHfesWYqtTALYnYoaDGXgCBltvvxV9z1rrqWHDSBsM79RK7PsckZqPz097QSBkMKmbCb4Y0BbZhSW46ZeIy94JYoEDAAzr2BIMgPCUPIl9APBs7QCZnztRW0v6WMI1KhNn3GKxalC7eg89/vkoHKEpedBTV8LWCR/upf1YUGBBGtQJl3c44xYLDocdo7ZuVbcVDZ/1s0REar5ovBcAuv38EOG/jIRiNaWiE7KL8GtpIhpFeQ4mdDVBQEKO2I2+RCDEdd9EXPdNRFsDdcx0NMcUe1OxeQ518So8HXMOu0lsd984GIZaKigs4WPtJT8wDDCthykGVqqUOeHf16LXT9cMqFdbZFFOIQ9zj7jBPz4HLdQUcXqJMzoaN1769M/6t8VZ9zjR6qG/HodjQjcTGGgqIzItHy8q9BRwOKhXVdS6+PVeiOhmXlgikAgqALYo1/4XUXgSws7D0VJRwKrB7TC3Z2uJJZxZpfN78or5sDPTweAOLfHFaW88Dk5FiYDtuZGX44jlcXgSwq70AMpTbGurKooC3p7bnyB6+6iP6mY5yMYQbfTVEZ1egIuecVjQu+7VZ31is0STxH+Z2LlOVVibKwosSIN5GZ6Gn26xORrWj7DB4A51rxDK4XDwy8TOiM0oFKsz0G7T3Sr/uIWl5GHuYTek5HJhoqOKk4sdYWmgAYZh4BuXjXPucbjhlyhW/yGyQi/GaFu2imJtu3j5AiH2PAwT620AgDG2RvhzRjdRtsed90LxLqMQRtoq+G6M+BBIbEahKPhpa6CONrVIhNQcZBeWYM5hNwQm5EJXXQmnlzg1ek0WDWUFrBnWHutLa7LkcfnYfT8Uv06xxYlKVUxvrGicsvRCIYPXken4+dZb0YRNAFBTksdYW2PMcDSDrakOvj7vi5t+iTjrzk5C5nDYVQ1fDW5XZQ9eWTK6sqEdv7hsrDjjLdrf0UgLPdvqoZgnwOnSqrkAO7m1u7kOZjiYY7StkejpvYQvFOXY6LH1Ebw2D5X+L6OJyJUmzNp8LRBHXsdgbk+LOhV4K+YJsPqiH4QMu3y84pDTp4ACC9IgotLyseK0tyhPxLJ+9S/rrKwgj31z7TH6r5dIyikWbR/+xws8+KZ8GabXuywsOuaBnCIe2hlq4ORiJ9Gsdw6Hg27mLdDNvAW+G9MB130TcdY9ViypT4lAiKs+Cbjqk4B2hhqY6WiOyd1NP1h8KSmnCNP3u4qlfwaAowsdMLDCslrXqAzR5Lkdk20lSk332/VU9Pr2qr41/O00D9mFJZh9yA1BiWxQcWapE2xaNW5QUWZqDzMcexMjCuIueMVhQjcTsV4xAA02kbRMSm4xLnrG4bxnnESlz20Tu2BcV2NoKCuAyxfg0MsoPAsRryXT1kAD60bYVNmrkpJbDKdtjyW262soY4ytEbRVFeEbl40jr6PBVMotd//rflX2MG4e0xFPQ1MRlVaAjIIS/O+SH3Z+RHVrJnc3wZ4HoYjNLMTDtykY0bn282t23w9FVFoBDDWVsWXcxznp+n0oQRaRupxCHpYc90RuMR/dzXWwbZL0xhZ11ZVwYpGj2LawlHxsuso+eT4LTcWcQ27IKeKhm7kOLi7vWe1SOk0VRcxxbo3bq/ri5so+mOloDvVKf5zDU/Px0623cPjlEb497wvPmExRoqCKnoSkoOf2JxJBhdd3Q8SCigIuOwQCADMdzdC/vYHY8feDymfhL+3bplGTdjW0rIISzDrIBhV66ko4u9S5yYIKgO363ziqfIIew7BF3iqWCV89VDILrDTwBUI8Dk7BkuOe6LXjCXY/CJMIKtw2DsYsJ/Y7eds/CUN+e47td0OQx+Wjk7EW5jq3hpKCHCJS8zHjoKtoWKeYJ8B13wTMO+IuEVSMsTXC92M6YkJXY9zyT8Sfj8PxPCwNDMOm2C7T20rvvcOWjyvkU7ngGS8RjDVnakoKomW9h19F1frz7tGZOFw6d+rXybZ1rgbbnFGPBZEqvkCIFWe8EZVeABMdVeyf20PqKXvbtdTEsYUOYksxT7vFIjq9AO7RmeALGfRvb4C9c7rXuEJiF1NtbDftgu9Gd2C7mT3iRMm5ALYX44pPAq74JKB9S7YXY1I3U6gpy2PbnWAcfR0jdr6Zjmb4ZUIXiXX8O+6GIC6zCCY6qmI3NYCd6PpZhdUvlfc3Z5kFbE9FcFIu9DWUcGaps0xkEO3X3gD92xuIrb6oaOUgK6leLz6rEBc84nDBMx7JueW9bg4WbC/agRfsjez36XZoqaUCn9gsbL0dDK93WQCAllrKWDvcBpO6mUBOjoPxXY2x5IQn/OKy0WPrIzha6CI4KVeiWqmFnhoW9WmD2/5JouFJgE3INtXeFNN6mMFCXx0W62/X6OfgcDgI+XkEbDbfAwCsueiHDkaa6GTc8JNvG8O8nhY48CIKHjFZ8I3LrnGitgIuH2suVj936lNBgQWRqq23g/EqIh2qivI4OK8HDDQbZsLSAGtD/DC2o1idjbL02OPsjLF7ql2Nl7RWpK6sgBmO5pjhaI6gxBycc4/DNZ8EsT/UYSn52HLzbZU1PgDg7FJn9GwrWZb7TUQ6Trqyqw1+nWwLzUpDIBXPd3h+j49mUlxGPhezD7khJDkP+hrKOLvUCe1kIKgos2l0B7wMT0PlMjMdjLSk8v+ghM/2Tpz1iMPL8DTRkEMLNUVM7s5W9Wytpy6asDu0Y0v0aK2LL8/64KZfIgA2IdVn/S2xrJ+lWLBsqKmCfu0McKP0uIrzjyrKLCjB99fZZaZyHPbfz3QHMwyyMax28vOHqCjK4+X/BqLvTnbobvRfr+D7/dB6T3yWBS212IRZV7zZhFl/1zA52o67IYjNLIRxFXOnPiUUWBCpOe1Wnnjn9+ldG3yW/4JeFghPzceZChPOAHZ9fl2Ciso6GWvj5wna2DDKBrf9k3DOI0705Fidl/8bWGXK5XwuH2sv+QNgM232aacvtr+whC/63QGo10RXWZKez8Xsg24ITcmDgaYyzi51FlVslRXtW2pihqO5xPfo+CKHep03Or0A5zxicdkrHun55bU6elvpYYaDOYZ1ainqzfvzUTiCEnOhIMeBtqoiBv/2HCV8ITgcYEp3U6wZbo2WpYmVcot5uOOfhMve8fCIef/3sUxuMV+UYnuKvanUkj+Z6arh+CJHzD/iDgDo+tNDRG0b1Wwybr7P4j5tcMU7AXcCkrB+pA1MPvA7e13hwWHnFDuJuVOfEgosiFS8iUzHD9crJt5p+IRCDAOJCWcAW43x7U/DazwM8iFqSgqY2sMMU3uYISA+B2P/kSxxXmbwnucY19UYs5zM0c1MR/TEu+1OMBKyi2DaQrXKxDsj/ijPLvpq3UCptLuppedzMeugK8JS8mGoqYyzy5zR1kC2gooyk7qZSAQWFbO31lQxT4B7gck46x4rqkkClA85THcwkyjAFZSYgz8eswnU+EJGNF+hV1s9bBrdAZ2MtcEXCPEsNBWXvRPwICgZ3NK2yXGA3lb6mGJvCi0VRSw85oHKRnVphemlKbbrssLhQ/q3N8A3Q9qLksC13XQH0dtHS/06ja2TsTZ6tdXDm8gMHH8T896hybxiHv73ngeHTw0FFqTeYtIL8MVpb/CFDMZ3NcYXA9o2+DVL+EKsvugn6iqurOP396X+5BSTXoDpFcqXV9kugRCXvNjJbDatNDHbyRx6Gsqim9bOKbYSSXciUvNFkz67mGjDtEXVRaaak7Q8NqgoK3J1dqkzLGU0qACA2wFJEtu23wnBv7O71+jzocl5OOvOFgArK8cux2FvujMczasdcijhCzH6L/FA1dJAHRtHdsDgDoYIS8nHtjvBuOaTgNS88oq97Qw1MNneFAOtDfEmMh17n0VKJGIDgNFdjPDXzG4NElBU9NWQdngZngbPd1lgGGDZCU8cmNejQa/ZGJb0bYM3kRk46xaLVYPbQaOahFlbb7EPDua6alLJ2NncUWBB6iW3mIclJzyRXciDnZkOfp1s2+BzAwpL+Fh+yhsvwtKgKM/Bnmld0cVEGwN3PxM7zub7ewjbOlIq17zhl4hVZ33EtmmqKODN+kFIyeXinHssLnvHI6uQJ9ofkpyHzaW9OABgZ6aDnpaScy+G/FaepvnS5z2l0t6mNvOgKyJS89FKSwVnlznLdC6OfC4fFz0lVzXcDkjC3KgMOFfx/wxgv4e3/JJw1iNWrLCciY4qpvVgq3q+b8ghJDlXrKcKYIt+jejcCrf9kzDm71diy6BbqClifFcTTOpuggKuAOc9YvHbw7Aqe1aGdGiJxyEpuB2QBC5fgL9mdpNaD151Ln3eSzT588HbFBx7HV2vBFOyYEB7Q1gaqCMqrQAXPOKwqI/kz/M0JBXnPePA4QC7qnhw+BTRb4DUmUDIYNVZH9EN5OBc+wZfHplVUIKFxzzgG5cNVUU2r0XZks0zS5ww61B5tssSvhDzjrhLLE+tjWKeAOsu++O6r3jPyNdD2uGrwe3A4XCgqaKI78Z0xNoR1rgflIJz7rGiiaQV+cVlY/RfrzDTyRwTuhpDU0VRNOkOAFYNbif1FTRNJSI1H0baKji71BkWMhxUAMAV73ixct8Vbbn5Fre+7CP2xB8Qn4OzHrG44Zso+pyCHAdDOrTEDEcz9G1n8N4egtS8Yvz+MEyU4AoADDXZcuYP36bg51tvRRkvFeU5GGRjiMndTdHFVBvXfRPx1TlfsQJgHYy0oKEsL5pv8evkLpjuYI47AUn4+rwvHgWnYsYBVxye79Bgk6nLhP8yEu023QUA/HjzLbqYasO+tW6DXrMhyclxsLhPG2y6Gogjr6Mxv5d4wqycQh7WX2GHQBb1bgOnaoLQTw0FFqTOtt8JxrNQtvTywXk9GrxqX1JOEeYddkd4aj501BRxZIEDupu3EO3vZaWPbRO7YGNpTguArV75+8MwfFOHfAQRqXkY8tsLie23V/WpclmdsoI8xtkZY5ydMaLTC/D5KS+J7um3SbnYfC0QP90MwqRupqIS7gDwzZB2tW6jrDLWZnsqKs8nkDVCISM2aRYAbFppiv6/BSfl4rxHHMbYGeG6L1uevGIvgoWeGqY7mGOyvQkMNd///S/mCXD4VTT+exohlisDALh8IdZdLv/e2pnpYHJ3E4zqYoSAhBycd48TDTcCgLqSPMZ1ZWuFCBlGVDl3WT9LTHdgczCM6mKEllrKWHLcE/7xOZj432scW+jYoJNnFeXl4L5xMBxL82dM3usC902DP/i7kWWTupli9/1QxGcV4UFQMkZWqNvz480gpORyYWmgjrXDrZuwlbKFAgtSJ+c9YnGoNK3vnqlVl16Wpsi0fMw77I6E7CK00lLBycWOVS5ZnOVkjojUfFFxLwD483E4Ohhp1WpC6UXPONEqjjImOqp4+G2/GnUp66orIbt0WMRIWwVWhhpi9R54AkYsqBjdxQgFJYJqx3BlXXKFTKgAcG5ZT5jryf5ckVcR6YhKK3/6V1WUx0/jO2Pa/vK5NBuvBogFq0rychjRuRVmOJrBuY3eB+fxCIUMbvglYue9ECRW+j2VySnioZWWCiZ2N8Hk7iZQVVLARc84jP/nNRKyyxNndTPXwcwKKbYTsosw/p/XKOELMaRDS6wbYSN2XvvWurjyRW8sOOqOdxmFmLz3DQ7O6wHHNg3Xi2CopYKLy3ti6j72d+j4y+P31vSRdapK8pjj3Bp/P4nAoVfRosDiflAyrvokQI4D7Jlq91Els6uv5vlXjDQp9+hMfHctEAA7JDDatmHz4AfE52D+UXdkFpTAUl8dJxY7vneC46bRHRCVno9noeVJj5af8sLdr/p+sCZFAZePb8774sHbFPFzjuogVv3yQ36+9RbJucWw0FPD3a/6QVVJHrEZhTjvGYsLnvGi0tZlbgck4cHbZEyxN8Usx9YNHqhJU1JOEWaWPjGXaQ5BBQAcr9RbcXVFL7Ss5um6naEGZjiaY1I3kyprclTFIyYTW2+9hV98TrXHTOpmgkndTeHQpgWehqRi6+1gUTZMANBWVcSk7iaY4WAulg2zgMvHkuOeSM/nwqaVJv6c0bXKIZg2+uq48nkvLDnhCZ/YbMw55IY90+wwtgFLeDtY6OL7MR1FybjabbqLmB3Nd6XI3J6tsf95FLzeZcE7NgutddVE2X4/698W3Sr0nBIKLEgtxWUWYvkpL/AEDEZ3McKqQQ3bff8mIh1LT3iioESALibaOLbQ4YNVAuXlOPh7ZjeM/+c1oiqMRY/88yW8Nw+ttmx7cFIuRv75UmL7o2/7wcqw5gmdHgen4JJXPDgcYPdUO1ENB3M9NawdboOvh7QXjUNXxBMwOOseh7Pucehioo2ZjuaiOhGyKjG7CDMPuooKXDUn7zIK8CRUvO7Gv08jcT8wucrj987pXuPvwbuMAmy7E4z7QSnvPS5wy3Ck5XFxziMWX5/3Ect30dNSDzMczTC8UyuJp2GBkMFX53xLM5kq4/ACh/dOGtTTYFfmfHXOB/eDUvDlWR8kZBfhs36WDTbZelGfNngTmY5HwezveNo+F1xY3jwnJxtqqmBcV2Nc8orH4ZfRYMAgPb8E1i018fVHNIQpLc2zb4o0ifzSJ6TMghJ0NtHC7ql2DZoI515gEhYc9UBBiQC92urhzFKnGpce1lRRxPFFjqj8N7P7zw8lZtEzDINTru8kggqbVpoI+XlErYKKnEIeNpRWzFzSpw16WEh2OUemlVeuNG2hilWD26FVpfkpAQk52Hg1AF23PMDGqwEITKj+ibepJGQXYcYBNqgwbSGdhEuN6YTLO4k8KDf9ElEiEKKziRaUKyVZ++lWcJV1YirKKeRh0TEP9N/1TCKoqLgyRktFAT+O7Yglxz0wcPcz7H8ehfT8EuhrKOPzAW3xbM0AnF3mjPFdTarsYv/1XggeBadASUEOB+fZfzB5E8Bmyvxvtj0Wla7U2HE3BJuvB4IvqH2+jpo6NL88yZh7TCb+fhzeYNdqaItLV4TcDkjCnYBkKMhxsGea3Ucz4VqaZPdRiMgUgZDB1+d8EJqSB0NNZRyc16PKaorSctY9FpuuBkDIACM6tcIfM7rWegzTTFcNFz4rH+st0/678lLrecU8fHHaW2z+AwD8MrEzZju1rnW7t9wMQmoeO5lr9bCqJ3NVXGL4dM0AKMrLYdUgKzwPS8NZ91jREx7AJkw64xaLM26xsDXVxixHc4y1M27yJW3xWYWYedAVcZlFMNNVxbllPdF7x5MmbVNNCYQM7gUmi0p/l9FQVsD4rsaY6WiOzibayC4sQf9dz0R5KV6EpeFJSGqVWVHT8riYccAFkRXma5SZ7WSOSd1NATCYvJf9LuYW8/FjaQr3muS7qOi8R6yopsjuqXa16oaXl+Pg+7EdYdJCFVtvv8Up11gkZRfj71kNtxw1ctsotN14BwCw52EY7Mx00K9S8b3moIORFqxbaiI0hZ3Yu2KgFTqbNJ8hy8ZEgQWpkV33Q/EoOBVKCnI4MK8HjLQb5gmVYYD/nkVg571QAMAMBzP8MrFLnRP8OFjoYs9UO6y+6Ce2feDuZ/h7Zvcqs2g+WzOgTkskHwQl40rpZK7d1UzmulBhwua6ETaim4iCvBwGd2iJwR1aIimnCBc943HeI05s4p5/fA784wOw6VogZjiYYZaTeZMUfYrLZIOK+Cw2IdC5Zc5SSxHdkBKzi3DBMw4XPePFfq9l3DcNFru56qgp4ctBVth6O1i07edbb9G3nQGUFOTAEwjxLDQNn5/yEq3WKKMgx8GfM7phcAdDCIQMLnrGiQKJMjXNd1GRa1QGNl1l5zd9NbgdxtVxnsTiPm1goqOCr8754nFIKqbvd8XhBQ2T0EpejgOfzUPR7eeHAIB5R9zxat3AZpcIjmEYsd7GBb0smq4xMo4CC/JBl73ise95JAA2AUxNK/3VRUZBiSio+GJAW6wdbl3vMeDJ9qaISMvH3meRom0xGYUSQYWjhS5OLnGsU9dmVkEJNpb+wV/az1JsGWwZoZARpf0FgM+ryVBqpM0Oj6wYaIWX4WwvRsVudYGQwWm3WJx2i4WdmQ5mO5pjjJ1RgydAAtigYsYBVyRkF6G1HhtUNFSQKQ08gRBPQlJxzj0Wz8MkC42V8d48tMrf37yeFjjp+k40hyQmoxBrLvpBT0NJoqItAFgZauD0EicYairDLz4HP94Iwk2/RLHlpb2t9LCsX9tap9iOSS/A8tIgZoytUb3H9kd0NsKZpSpYesITAQk5mPjvm3qd731aqCvh1pd9MOZv9t9cn1+fIuTnEc1qJcVl7wSxAPKydzyW9K35hO5PCQUW5L283mWJ5gysHGiF8V1NGuQ6vErjvN+N7iDVf7Rrh1kjMjVfYrVHmd+n22FiN9M6n/+HG0FIz+fCylAD3wypOmfGV+d9Ra8vfPbhSWzychwMsDbEAGtDpOYW46JXPM55xCIus/xp2y8uG35x2Vh/xR+znVpjlpP5B1e+1FXFoKKNvjrOLnVGK23ZzE/wLqMA5zzicMlLfAWOs6UuzHXVcKFSps3qJvQqKchhw0gbLD/lLdp2o4o08oNsDPHnjK4QCoGrPvE45xFXZYrt3VPtMMW+9t+znEIeFh33EGW43T3VTiqTLu1bt8CVz3thwVF3xDTwBNzOJtrYOcVWFFzbbL4nGpKUdUk5Rdhyk82ia66rhtjMQhx9HYMFvSyg0EyX0TYkCixItRKyi/DZSU+UCIQY3qklvq1DkqmaKOYJsPyUl+j9nql2mFyHP77vIyfHwbyeFlUGFnum1i+ouBeYhBt+iZCX41S7nj2nkCdW16S2eQQMtVSwYqAVPu/flq1d4B4rVt9CyAAnXd/hpOs7NteBoznG2hpLbR5MbEYhZhxwQWJOMSz11XFGBoMKLl9QZeZTfQ0lTLE3w3QHM7TRV8eS455inzu2sOoqpkUlAjx4m4zL3gnVXnO0rRHWj7BBQnYRNl8LxJ3AZNHkYGUFOQywNhD1Nk3vYVanoIInEGLFGW9EpRXAWFsFB+dJN8Othb46rnzRG0uOe8C7NDX56wjJzLHSMK2HGdyiMnHZmw3shv3+Ag+/7d8g15IWhmF7GvOK+ehqpoPTS5zQd+dTJGQX4X5QSoMvt2+OKLAgVSpfI1+CDkZa+G1a1wZZAZJTxMPS456Izyp/Cpd2UCEUMtj7PBK77odWuX/1RT84ttGtstz5h2Tkc0Vj3p/1s4RdNcNEvXY8Fr32/G5Ira9TRk6Ogz7t9NGnnT625HNx2SseZ9xjxZZ7+sRmwyc2G+sv+2Ouc2vMdDKHTau692K8yyjAjAOuSMophqUB21PRsoGzrNZGRGoezrrH4UqFWi0cDtCvnQFmOpphcIeWorkssRmFeBwiHlwOsDYUvWYYBh4xWbjsFY87AUnIqybVN8DOcVBVkse8I+5iKbZtWmlipqM5JnQ1EVX8NNZWwaYxtS9OxTAMfrwRhFcR6VBTkseh+Q4NksVSV10JZ5Y6w2bzPdG2vc8isby/9Jej7plmh0fBKcgp4iE8lS2y9r7KoU3trHscXoanQ1lBDnum2UFdWQFznFvjr8fhOPQqigKLKlBgQSQIhQy+vVC2Rl4Jh+b3aJBVCKl5xZh/xAPBSeUpkvU1apZ4qKYy8rmYfcitym7pivrufIqgLcNr/XN+fyMIGQUlaN9SA19VM+btH58tGmMfYG0A/Roumf0QfQ1lfNa/LZb1s4RrVCbOuseKddMLGeC4yzscd3mH7uY6mOXUGmNsjWr1tBuTzgYVybnFaFsaVDR06vaaKCoR4HZAEs65x8LzXZZou5G2Cqb2MMO0HqZVTg486RojtsR0lhOb/jo2oxCXveNxxSdebKjpff6ssHSSTbFtjBkO5rA11QaHw4FLZIYoXfiOybbQUlGs9c957E0MTrvFgsMB/pzRDR2NG2aYC4DE9+LXeyGIyyrET+M6Sb273/f7oWizgV0pcuBFFLqbt6hVZtzGEpdZiF9us5Nu1w63RtvSCr1znVtj37NI+MRmw+tdFuxbU4KsiiiwIBJ+fxSG+0EpUJKXw/65NVsjX1uxGYWYc9gNsZmF0NdQxnejO+DrCnMQpME1KgMzKmWEBAC3jYPhHp2JLytVK+30Q+1Krd/yT8Rt/6TSIZCu1U76HPfPa9Hrw/Or7navDw6Hg55t9dCzrR5+HNcJV7zjccYtViw5mHdsNrxjs7Hmoh8W9LLALCdztK8iJXpF0ekFmHHABSm57NyRM0udqnxa9ozJxJRKS3pXnfXBl4Osqky7Xh9BiTk45x6Ha74JyCtmexPk5dhCXTMdzdC/vWG1EyILS/g47xEntq2DkRam7nsjKuAFsMtOOxhpIjQ5D7nF1fdYlPl1cheMsRVfAlzA5WPtJXYl0kxH8zotr3wamoqfSzNXbhhpg6EdJZe5NiQOBzjjFouk7CL8M6u7VB8uOBwOArcMR+cf7gNgM+M+Xt1fdOOWBUIhg7WX/FBQIoCjha4o/wcAGGgqY0I3Y1zwjMfhV1Gwb23fhC2VPRRYEDHXfRPw95MIAMD2SV0apDJhcFIu5h1xR1oeF+a6aji52BHFPOkl6REIGfz5KAx/lf4cZcbZGeP36Wza47F2xohMy8cfj8QT9lhuvFOj1MPp+Vx8X1oSfcWAttWm4D7hEiN6/ePYjnVeNltTuupKWNLXEov7tIHnuyycdYvFFR/xOQLH3sTg2JsY2LdugVmObN2Jyk+rkWn5mHnAFal5XLQz1MCZpc4SlTEPvIjEtjshVbbjhl8ibvglYoC1AZb0sURvK706d6nnFfNwwy8R5z3i4F8hNbaZripmOJhjir1pjYZmrvokSAQKm0tT08txgN5W+hhsY4jgpDxc9o6XWEJalVZaKhhrZyyxomT73WDEZxXBREcVm0bXvps/LCUPX57xgZABpvUwxdJGXn3Q20oPc50t8NU5HzwNTcP0Ay44Mt9Bqr1VGsoKePRtP1Ghv8F7ntep17ChHHeJgWtUJlQV5bFrqq3EA8fiPpa44BmPe4HJiMssrNNQ6sdKNv4PEpngG5ctKrz1WX9Lqc91ANjaCYuOeSCvmA+bVpo4scgRhloqCP3AUEVNpeYWY+p+F4kU00cXOmBghbF0gB0jj0wrEJtUCQAzD7ji7DLnaq/BMAw2XwtEZkEJbFppYmU1ac0FQkYUfADAggpPPA2Nw+HAwUIXDha6+GFsJ1z1icdpt1iEp5avw/d6lwWvd1lYfdEPC3tbYJajOdq11EREaj5mHWSDivYt2aCibPiGLxBizmE3uEZl1qgdz0LT8Cw0DTatNLG4TxuM62pco+W8DMPAJy4b59xjccs/CYWlQ0mK8hwM79QKMxzM0avthwuAlQlJzhXNhamonaEGJtubYnQXI9wLTMZvD8Oq7aVwttTFWDtj7LgTIpp7kZxbjH3PIvFthWRor8LTcco1FgCwc4ptrVOyZ+RzseiYB/K5fDi10cXWCV2aZOXEiM6tcHaZM5Yc90RgQi4m/vcGxxY6SLUXyspQE//N7o4vTrOrbjr9cF8mVopEpeXj13ts0LxxlE2VVXqtW2mibzt9vAxPx9HXMfh+bMfGbqbMosCCAGCrUy474YkSvhCDbQzxv+E2H/5QLT0OTsEXp73B5QvhYNECh+Y7QFu19uPO1XkZnoa5h90ltnt+N6TKeQ0cDge7ptgiMjUfbyvM83CJysCu+yFYW83v4KZ/Eu4Glqf0VVKoevz5s5Plqw+ur+hd2x9HarTVFLGgdxvM72UBn7hsnHWLxUUv8eWWR1/H4OjrGLRQUxRNgLRppYnTS9g06un5XPTY+qjK83cz18G5Zc6w/q584l/ZkrwyIcl5WHvJH7/eC8X8nq0x27l1lUs8swtLcNUnAefc40QZDgGgrYE6ZjqyGSyrWxpaWXo+Fzd8E3HZO16s1HmZmyv7oLOJFu4GJmPKvjdIyeVKHKOvoYwp9qaiFSUAm8StrAgfAOx/EYWpPcxgpquGvGIe1l1mg/O5zq3R20q/Rm0tw+UL8NlJL8RnsXlC9s2xr/b71Ri6m7fA1S96YcFRD0SnF2Dy3jc4MK8H/s/eVYc3db7tO153dzcqUIVixd19DGdjMLYxxtyV/QbzAROcbdhguDu0QFsqUOruLmnTxs/3x0kOSeNtmX3c18VVGk+ac97nfZ5bBvrY9tlzTAxzxvLB3lQiccynl3tFcO4tJFICGw5ngi+SYrCfrVYH3pVDfXCzoBEHU8qxbox/j3g0/0U8KSyeAF1CCZ7Zm4r6dgECHc3x7YIBfd6yP3KvEq8duQ+JlMCoIAf88FRkn0khxRIp/ncuF7/cVLZoXhDrgU+nh2rd1RqxGNi9LAbDNl1VGsdsuVqEYGcLTA5Xdjasb+fjvePkorJ2pJ9G58umDgFlzc1h0jWqRf5K0Gg0RHpYI9LDGu9OCcHxjGr8dqdMidgqLyoAkn9wObdeydRLEevHBOCFkX5qd5dHVsdjxZ4UanQR62WD8uZO1HL5+PJiPn64WohZUW5YPtgbvvamuFvSjAPJ5SpyzUnhzlgQ64FoT2u9drECsQSXc+pxNK0S1/IaNI4zPp7WDxKCQPiHFyiuhiISAu0xP8YDo4JVLbbnx7hjT1Ip1f0RiKX4/GwutiyMxGdnclDVStqcvzHBsOKcIAi8eeQBUstaYG7ExI4lMXqnqD5OeNqa4sjqeDyzNxX3ylqwaMddbJ4T0aeeNu9NCcHVvHqUNPLQ2CHA63/cx/9mh/fZ4xuC7TeLkVbeCjMOE1/M1p6HNMzfDv4OZiio78DB5AqDEpD/y3hSWPw/B0EQ2PBHJh5UtcHGlFSA9HWa5vabxZQt8sxIV/xvVrjOPAR9Ud3ahak/JKKxQ3m3uf+ZgRjkq9+uysHCCEdWx2PSd8pOnGt/T4eXrSmVB0AQBN7+MwutnSKEOFvg+RF+Gh8z+tNHu/u7b43S9+38ZbAwYmHRQE88HeeBB1Vt+PBkNu4pqCsAkpPwZ7qqh8PvK+MQr2Mnbm9Opmk+/3saruU1ILWsGR9O7QcLYxZ+uVmMrCoulYHSHcHOFlgQ645p/V316mjJxyZH0ypxMrOGyvYAgAh3Kwz0tsFPsmwNOd5VGFHJYWXCwtJ4L8yNdtdqsc1k0PHWxGAs251CXXb6QQ08zuVifzJJDt00O8JgrsDWa0U4ml4FBp2GbQuj4OfwzyEy2piy8dvKOKw/lIEzD2rx0oEMVLZ0YU2Cb5+NLa68MpxSihxMrUCst81jGcdqQ0FdO768SEqE35scopO4TqPRsHKoN14/8gC7EkuwbPATwyzgSbrp/3t8d7kQp+/XgMWgYdvCyD4lIBEEgU3nc6miYsUQb2yeHdFnRcWV3DrEf35FqahgynIJ9C0q5OjnYomfFqkyuyd/f4t6/GMZVbiYXQcWgxyBaHofqaXNlKRxYpgTrEz+/l2nJtBoNHCYDJQ2qoZnqcPKId5w1NMYy5TDxC+LozEnyg1SglzMC+s78Oq4II2y4iWDPHH8+cFYPMhLZ1FR1dqFLVcLMeqr65i5NQm/3ilHW5cIThZGWJ3gi0vrh+k1ghrgYYXdy2Jw750xWDc6QK/cjoRAewz1Vy6u5JbxS+O9DB4VnMuqoXxWPpjaD0P8DRuh/BUwYjHww4JIPCvblW86n4e3/nzQZ+moNBoNuR+Pp35/5XAmHlb/dam+YokUrxzOhFAsxYhAe8yJ1q+omdbfFbambFS38XE2q/Yxv8p/B550LP4f4/T9GsrA55PpoYjrw7mpRErgnWNZ2J9M7khfHRfYZ7sboViKj049pAhycjwz1BtvTQzu8XOM6+eE18cHUaQtOaI/uYSbr43ABydI6d9Lo/y12mYrSi9/WBDZo9fyVyG3lquUtqoL22+VYPutEsR622BhnAfGhzppJWOyGHR8MTscNBpwKLWSUhzJYWnMQpdIQo0/9twuw9msWiyJJ8mk3UcBPIEYZ7NqcTStEreLm6gCzpjFwIRQJ8yMdMMgX1tqlFfbxlfpVsgxOdwZ70/pp6J20Qc0Gg1vTQzGxO9uqkSvvzZefaqtJjyobKOk1kvjvbBooOGpun8V6HTyfbtaGePDkw+xP7kCNW18/PBUZJ90Oo1YDNx8bQSGfnEVADDpu1vIfG8sLE0eP3dh27Ui3K9sg6UxC5/PCtf7PGLEYmDRIE98c6kA228WY3K4899OPv278aSw+H+KrKo2vHI4AwDZSZgX49Fnjy0QS7DuQAbOZtWCTgM+nRGGBbF98/gVzZ0Y980NSiUgx9E18WqDvwzFc8N9UFjfQVkOyyE/0YW5WuK54erDwwBSginH5zPDHotbaV/h97vleOvPB2qve3GUP14e7Y8ukQSn7tfgtztlyFSQeiaXNCO5hFSGPDvMB/Nj3FUeQyyR4mpeAw4kl+NqXr3K9UdWx1PGQq2dQvyeXI49SaWo4wqw6Xwevr9SgNlRblg22Bu1bXwcSSOlfYp/+0E+tpgZ6YoJYc7UwkYQBO4WN+FASoXaUc6KId54Z1LPC1A5gp0tMDfKHQdTlb0xRGIC0LNJVdvGx8q9KeCLpBgeYI93eiBN/TuwJN4LzpZGePFAOq7lNWDeT7exc2lMnziyutuYYNeyGCzbRY6aIj66gKLPJj5WqXZ2NRffXSGl5x9O7Wfw+3h6oCe2XitCZmUb7pW1INqr72X6/ybQCKJ7vf14weVyYWlpiba2NlhYPD4XuSfQjHouH1N/SEQtl4/hAfbYsSS6z+aCHQIxnt2biqSiJrAZdHw7vz8mhOm2vM2rbce4b27AzoyN1HfGqL3NuawapTAogJyL33htRJ+ysQViCeb+dAeZFa0q151fNwyBTurldmKJFH5vn6V+18cP468GQRDYlViKj05lq71+34pYDPVXb+aUW8vFgeQKyk1SG9aO8MPhexVKSotYbxvYm3GojJMIN0vsWBqjpNgRiqU4db8a22+WKCl1FOFtZ4qZA1wxI9JVyV2zUWZxfjClQskcTBF7l8f2yKxKEwrq2jHm6xtKly0f7K2X9LBLKMHcn27jQVUb/B3McGRN/N+uKvB64zQA0sfit5WaJddyZFS0YsXuFDTxhHC1MsauZTE6jdf0xdcX8yl3UwadhqLPJvbJ43aHUCzF1B9uIbe2HeP6OeLHp6N6VHS+ceQ+DqRUYHw/J/yoZqz6V0H+N9y9LEbJrr4voO/6/YRj8f8MfJEEz+y7R1k0f//UgD4rKpo6BHjqlztIKmqCKZtUW+hTVOgCXyTBK4cyVYqKdaP9kf7umD4/GXOYDOzUQGKVx8erw+Kdj6SuZ14c2qevqbcQSaRYsjMZ3m+eUVtUJL0xEqWfT9JYVABAkJMFPpjaD7kfj8dXcyMwwMNK421/uFqIOq4ANqZsPDvMB5dfGY5DqwZhy8JIHF0TD2sTFjIr2zBrW5ISv6NTKAZPIAZLi8TyxVF+WDXcF27WJpBICVzPb8DqX+9h4GeXsfFsrsaiAkCfFhXAI16FIvbeLkVhvXZfFrltvpw0vXNpzN9eVPQE/d2t8OeawfCxM0VVaxdmbUtCUlFjnzz2y2MCqO+YREooybf7Et9dLkBubTtsTNn4dEbPPUOWDyF9as5n16KsST/O0n8VT0Yh/49AEAReP3IfmRWtsDJhYceSvjuZVbV2YdGOuyhu4MHGlI3dy2IQ7mbV68ctaeRhxOZrKpefemEIpdZ4HLA14+DomniM7bYb/TO9CuFulljWzeyqnsunEjWtTViPNdPBEDR1CBClwX8CAJLfHmVwqJURi4GZkW6YGemG8w9rsWrfPY239bI1QbibJdwVOguRHtY4sjoeS3Ylo6ypE1N/uIUl8V4oqOvAldx6CGVkQAadhoQAewzwsEJpUydO3a8GXyTFywcz8fLBTBizGGDSaVqDwhSxvI8Nyi48rFVxNQUAsZTAhyezsXd5rMZF6suLeTibVUvZ5v+bXRs9bE1wZHU8nt2XipTSFizZmYwvZof3KjFYjqOr4ymlyPmHddiTVIol8V69flw5MitasU22WfhkemivcnwCHM0xPMAe1/MbsCuxFB9M7ddXL/Nfhycdi/9H2HqtCMczqsGk07B1YSS87FTd5HqCgrp2zNqahOIGHlytjHH4uUF9UlQcz6hSKSrcbYzx8MNxj7WokCNDFiHdHR+ezEZiofKuLPazR+mlN14b8Thfll5IL2+B1xunNRYV/d2t8OCDsT1KyuSLJPgzvRJzf7qttagAyIyStb+nI+Cds/j8bC61k/O2M8VH00IBAFy+GN9fKcS5h7UQSqQIcbbAu5NDcOfNUdixNAZrR/pj85wI3HhtBMIVrNO7RBK1RUW4myW+mdcf3UfyPbHW1oQWnhBvyVNth/tg85wIpetvFjTiSq4qrwQAjqZVYstVcjHbODMMMf+Beby1KRv7VsRhUrgzRBICLx/MxA9XCtDbSTuNRkP+JxOo398/8RD3yvRzfdUFvkiCVw5nQiIlMCXCBRP7oLu6cihZvB5KrVCSPf9/w5OOxf8TnH9YqyRni/ftGzlbenkLlu1OQWunCH4OZti3IhbOlr0LLesSSvDKYVIvr4i3JwZj5VDvv4RxXdXaRQVAOVsaoaaNr3T9wu13cf3VBHjamiJJociYHeUG87+ppU0QBPYkleKDk+r5E3JEeVpj97IYg19nTg0XB5LLlTI36DRgRKAD5sd64Jm9j1rVq4b5qKgxfrxepHWUBADLBnvh/SnKO73SRh4Oplbgj3uVaGhXdcdUhNwU7YvzeVD0xnKxNOpT8t/7Jx6isYMMZ3t5dADYDDp2JZYoOXx+fCobQ/3tlZwzU0ub8cYRkjC7JsH3L/dpeJwwYjHw/fwBcLMyxk83irH5Qj4qW7rw8fTQXknM2Uw67r41CnGy4n3Wtts96rR1x1cX81FY3wF7cw4+6qPuwhA/OwQ6miOvrh0HksuxSgvR+7+MJx2L/wfIrubiZZmcbckgTzzdR3K2G/kNWLj9Llo7RejvboXDqwb1uqho7BAi+L1zKkXFhZeH4ZlhPn9JUUEQBN44ch/tAjEGeFjh1usjqXhtRQzfdA3tfBGe2n6XumzT3+AWKJJIsXx3CrzfPKO2qNjyVCTMjcg9RLSnNfYsj9W7qOAJxDiQXI5pWxIx4dub2HO7DFy+GK5Wxlg/JgCJb4zEjqUxKsmbb04MRv4nE7DlqUidrqPvTg7BtP6kw+muxFJ8e6kAfJEExzOqsODnO0jYfA3brhWhoV0AOzMOJoU5I0SD3Hd/cjkmfHtTpYA58Owgvd6vPjj7oAYnMqtlqbYRMGIxQKfTVDoipU2d2JX4yA22orkTq/bdg1Aixfh+Ttgw1jBZ6r8BdDoNb04MxsfT+oFOAw6kVGDFnlR06Dmu0gRHCyMcVMjvif30MkS98M9ILW3GLzfJwnfjjLA+czil0WhYIeta7E4q7dVr/DfjScfiP46GdgGe2ZuKTqEEQ/zs8O7kvgnKOZlZjfWHMiCSEBjqb4cfn47qVSohAfUt034uFvjjufg+s//WB/uTK3CzoBEcJh2b50SAQafhw6n9UFDXrhSvDQBhH1yg/v/NvP5/qX5dW36Hv4MZTqwdgtxaLhbvSEa7QIxYLxvsXBaj02+AIAjcr2zDgZRynMioBk8m72TSaRgT4oj5sR4Y6menVUpLEAQyKlpxI78BxQrBZ+rw8alsxHnbwNfeFEUNPHx9KZ/yVwHI+O7hAfaYGOaMnBoufrtTDqFECjoNmBfjjpfHBIDbJcKOW6U4mlaplDEih4dt33AYmjoEVE7Ic8N9lIqmeF87jA52xKWcOuqy768UYkakK4xZDKzYQ6onQl0t8NU87VbR/3YsGuQFZ0tjvLA/HTfyGzD3x9vYtax3ctQ4H1u8MymYMtzzf/tsjwLLOoVibDicCYIgO4yj+ziOflp/F3xxLg81bXyceVDTp9bn/xY8KSz+wxCIJXju13uoau2Ct50ptjwV2ScKkH23S/HeiYcgCNJk6Ku5/XsVlMQTiCnNuiI+nRGqNQDocaCypROfniZ3/a+OC4SvPWmrzGLQ8cviaAzfdE3j7HT6gL/mBJJR0YrpWxLVXrdqmA9eHx8EOp2Ge2Ukka5DIEastw12LY3RWvy1dYlwPKMK+5MrkKMg9fS2M8X8GHfMinLTm9w2bNNVVDR3Ub+7WRtjZqQbpkY4o7Ceh313SpFY2ERdf7dE/dx81TAfLIzzxLX8emw8k0NlmQz1t8Pbk4IR5ER2LhzMjbBxZhg2jA1Qyyv54MRDLB/s3esC473jD9HEEyLQ0RwvjlJNtX1zYhCu5dVTGSUdAjE+P5uLZp4Q+XUdcLTgYPviGJWY9f8iRoc44sCzA7FiTwqya7iYsSURu5bFapRr64OVQ32QWNiIq3kNAID5P9/BwVWGdaO+OJeH0qZOOFsaPZZEUg6TgSWDPPHlxXzsuFWCqREuj23DQRAEBGIp2rpEuF/ZhtTSvuGf9BYGf7tv3LiBTZs24d69e6ipqcGff/6J6dOnP4aX9gS9AUEQeOtoFu6VtcDCiIntS6J77V5HEAS+u1xI7SYXDfTEB1P79Wp2nV3NxcTvVJ0fr25IoNIk/ypIpQRe++M+eEIJYrysVZQfViZs/LkmHiO/vK5yX+vH7AxIEAT23i7D+ydUMy4AYPviaKWd172yZizZSUZvD/Sxwc6l6hczgiCQWtaC/cnlOPOghgpiYzPpmBjqhPmxHojzttF6YuTyRThzv0bpsormLphxmJgY5oRZkW6I8bKhduh+DuYY188RZ7NqqbhsTfjpRjF+Ty6ngsL8HMzw9qRgJATYq31NRQ3qZX67k0qx93YpxvVzwsqh3oj00C/UTBGn7lfj9IMacgQyN0Kt46ivvRkWxnlgz+0y6rKjaaRyxIhFx/bFMXDS0xL9v4AImRx1ya5kFDfwMHtbEn5aFKUza0Ybdi2Lpbwa7pY044crBVg7UrXIU4ekokbKh+V/s8Ifm8R34UBP/HC1EPcr25BS2oJYbxtIpQS6RBLwhGJ0CmQ/hRLwBN1+Kl6v5nY1bV1o7BDqfA1cNeF6fxUMLix4PB4iIiKwfPlyzJw583G8pifoA/xysxhH0irBoNOwZWEktfPuKaRSAh+efEidMF8a5Y91o/17XIkTBIF9d8rwnpowqLxPxmu1iX5c+C25HElFTTBi0bFpdoTagsnH3gy/rYzDQgVeBUCmgm48m4M3J/Stc6JQLMXa39NwIbtO7fVyAqkiUkubsWRnMnhCCQb52GLH0miVoqKZJ8TRtEocSKlAocKoItDRHPNj3TFjgKvWjBOxRIpbhY04klaFCw9rIRArz5K/nd8fY0OcVEZYbZ0iHMuowoEU5a6INsiLiueG+2LD2ACtXbfdScoJtyMC7bF8iDe23yzB9fwGnM2qxdmsWvR3t8LKod4Y389Jry5eQ7sA78pGIM+P8NOqSnppdACOpleppKZ+Nbc/wtwev5rpnwZ3GxMcXR2PZ/feQ3JpM5bsSsb/ZoVjZmTPiauFn06gzOg2X8hHhLuVVg8WgOweyZN6n4rz0OppIpZI0SmSqFngxeAJJMo/hRJ0CmQ/FS6XHxNzf7oNEzZDxS34cYP/Fz+fIgwuLCZMmIAJEybovuET/G24nFOHjWfJvIt3JwXrPOB0QSiWYsPhTJzIrAZAWt72RkvO5YuwYneKCl8BAOzM2H9LUVHe1ImNZ8jZ7evjg7RKcQdr2G39dL0YIc4WfTJT1caf8LYzxakXhqgdaySXNGPprmR0CiWI97XFjiUx1OIulRJIKmrC/pRyXHhYC5GEbNcbsxiYEuGM+bEeGOBupbVYzK3l4mgamXqqqNCQR0fLofgZEASB5JJmHEypwOkHNdQJV11XRNuY58frRcioaMHywd4YGeSgUhBUt3bh/EPlAux7WYbFUH975Ne1Y8fNEvyZUYWMClIG62pljGWDvTA3xl3j7pUgCLxz7AFaOkUIdrbAWi2ptgCZBLp2hB91DMrx/5XIB5Ddvr0rYvHqH/dl/KxMVLZ04YWRfj3anDAZdKS9OwaRH18EACzakYxDqwbB2oSlcaGXczMAslB8VsY9U9cZ6F4o9xaKRQWNBpiymTBhM2DKIX8y6DRUtXShiae7E6Ev/s64ksc+6BMIBBAIHp2AuFz9dilP0DPk1bbjxf3pIAiyKu+tmUynUIzVv6bhen4DmLIWcG8WzsyKVkxTs3DsWBKNFXsej7OeLkilBF79IxOdQglivW2wZJCX1tury72Q46UDGfC2M+2xj4emzwcgDZ7emRSskfR3t7gJy3anUETdXxZHw5jNQD2Xj8Myq+vy5k7q9mGulpgf646pES5aVSKNHQKcyKjGkbRKJTmltQkL0/q7YlakG0JdLSgjI8X7qbPYDnIyx/wYd8wY4EaN5zqFYvxyo0RJzWHOYYJOpylxWu4UN+NOMTlHfnGkH+bFelDR1r/dLYNEqkwCViSqBjia43+zw7FhXCB+vVOGX++Uoaq1C5+czsE3lwowL8YdS+O9VMyqTmRW4/zDOvL7PydCLz7RsAB7lcJi45lcjAlx/H/Br1AHDpOO/80KgzGLjkOplfjqYj5OZFbjrYlBEIqlOjsA6q5XxNyfbmt4ZlVc1NAB7A4GnQZThQKA+slmwoTDhCmbARM2E6acbj/ZDJhwmHjh9zRw+WIkBNpj0+wImHIY4AkkyKnhIqeGi+waLrKruShu5Kl8dw3FO5OCsTTeSylW4O/CY/+Gb9y4ER9++OHjfponANneXrk3BTyhBAN9bPDh1H69Ig21dgqxfHcK0spbYcSi48eno3rsPU8QBH6+Uaxysh0d7IhtT0eiWMNs/K/AvjtluFvSDBM2A5tna2frEwShRDSN97WlHDflmPpDIpLfGgUHPRnwBEHg17vlVKu9O358OgrjQ520Psad4iYs25WCLpGEUuncLm7E/uQKXMmtp05a5hwmpg9wxbwYd63tfIFYgss59TiaVolreQ0UGZHFoGFUkCNmRroiIdBB4yK7+td7uJhdR93PhM3A1AgXzI/1QISbJfW9lEoJHE2vwubzeajlkl4hkR5WeGdyCBUqV9TQgVFqeC3fXSnEd1cKMdDHBosGemGfAq8BAI6sVk/qszfn4OUxAVid4Itj6VXYfqsEhfUd2HGrBLsSSzAh1BkrZDyMei6fGte9OMpfL0fVFp4Qq39VNg5jM+mo5fLx47UirP8XyEylUnJ0IF/A1c//1Sz+3YqC7qOE7mtnYX0Hlu/u2w2Fq5Wx0kIvlhBK5OCXRvkrXW/KZmooHBhgM+g9PodKpAReHReId48/xLW8BjyzNxXVrV2o1+HFYig+nh6KedHuvSLQ9zUee2Hx5ptvYv369dTvXC4X7u6qSYhP0DsIxVI89+s9VDR3wcPGBNsWRvXKlKa2jY/FO+8iv64DlsYs7FwaQyVRGorWTiEWbr+rtNsFgB+fjsT40N673fUGpY08fC4rdt6YEKRTNfC5QqT6j09HIt7PDiM3X1MhU8V+dlknV0QxBVYdrrwyHD56cGOSihqxYncqukQS+DmYIcTFAqO/uq5k6hXtaY35sR6YFOasUbpLEATSK1pxNK0SJzNrlDoFEe5WmBXpiinhLmo1/zVtXUq/y99ThLsVFsS4Y3KEi4rM9XZREz49k42sKvJ74WZtjDcmBGFSmHLstK+9GfI/mYBX/8jE8YxqledW7GIoIspTu6OlEYuB+bEemBvtjhsFDdhxqwQ3Cxpx+kENTj+owQAPK6TL3FdDXS2wOkG32ZFQLMXq3+6htKkTrlbGYDJoKGvqhBGTDqFYip9uFGNOtHufWniLJVK9dve6CgGegtfE7eImhL5/vs9eY3cYsxjoEil3HAIczeBjZwZTjurOX+mnmg7B238+wCkZgdiUw8CFl4dTj7v+UAZQQo4Qz7w49LFI13kCMXJruciuaUd2NdmJyKvlUmRogFRz9RWsTVh4foQfnh7oCSPWXz861oXHXlhwOBxwOD33X38C3SAIAu8dz0JySTPMOUzsWBLdK8OXkkYent5+F1WtXXC04GDfirgeJxbeK2vGrG2qLcrbb47stZlWbyEfgXSJSJLj0zqkrXyRBD9df+QmKS+Kjq4ejGGbrqrcPvCdc2p19g3tAgzaeJnazSvCzdoYZ18aqreBVVJhIxbvTKYeq7C+gyJjWpuwMDPSDfNj3OGv5e9X1dqFP9MqcTStSmlk4WRhhBmRrpgV6Qo/B9X7iyRSXMmtx4HkclzPb1C6bmm8F+bFuCNYjZFVcUMHNp7NpdrR5hwmnh/ph6XxXhpPkmwmHV/P7Q9nS2Od7p1yXM6pQ0Kgg07VEp1OQ0KgAxICHZBby8WOmyU4nlFNFRUA0M/ZEnyRRGuxThAE3j2WhTvFzTDjMLFzaQw6BGLM2paEdoEYViYstHaK8Nof97FpTrhORQBPW0GgUBgI+5gPoPTZyPkAnEe7eJUFX80IQOk+sk6A/DpjFoP6m9yvbMXy3alo7BCgnS/GujH+lITYEPzwVCSu551Hu0CM/LoOfHYmB29NDMbF7DocTasCnQZsnhPe66KCIAjUcvnkGENWQOTUtKO0iYe/Iifc3IiJVcN8sGywd698gx43ehWbTqPRDJabPolN73vsvFWCj05lg04DdiyNwYheROVmVbVhyc5kNPGE8LYzxd7lsT3aXUmlBL6/UqhkdAQA0/u7YPOcCBXinT6x6X2NHbdK8PGpbJiyGTi3bpjO9zn26+vIryMX7e5qjOSSZrUzXjszDlLfGQ1AO3+iJ9Ld3+6W4e0/Vccn8b62mB/rgXH9HDV2THgCMc5m1eJoWiVuFzdRJ0VjFgMTQp0wM9INg3xt1b6esiYeDqRot9hWFxnf2inEt5cLsO92GcRSAgw6DU/FemDdaH/YGhD+RNqWkz4qo4MdEeBohq1qUkblWDfaH/Ni3A0qZB9UtmHKD7dULg90NMecaDdYmbBVFvqdicqKlHA3S/AEYo0S2L4Gk05TWsB1zf/VXS/fBAQ5mePPNYNhxOr5KEBfVDR3YumuZBQ18GDOYWLb01EY4m+4HFUiJeD71iOez8aZYfjyQj4aOwRYNdzHYMWWSCJFYX1HtyKCS3mpdAeNBoOKiyF+dnhY3abx8RRhwmZg+WBvPDPUR6dtgFyKu2l2OOZE9+10QN/12+CSp6OjA4WFhdTvJSUlyMjIgI2NDTw8VG2Pn+Dx4lpePT6RGTq9NTG4V0XF7aImPLOXtN/t52KBPctje5T219ghwOxtSSht6lS6fNey3hU9fYnihg58IRtrvDUpWGdRUdbEo4oKfwczFYlnrLcNNs+JwIbDmUqXN3YIqANdHX54agAmh7vo/br5IgnOP6zFSwcylC63NGbhqTgPzIt216hokUoJ3C5uwpG0SpzLqlViqg/yscWsKDeMD3VS68wpf94DyRW4XfyIU2JnxsasKDfMi3ZX6+8BkOOBvbdL8d3lAkpbPzLIAW9NDFLbCdGFJfFecDDn4KWDGbiUU6fkdKkO31wqwDeXCgAAwc4WiPa0Bl8k0agI4KkhBsqRV9eupC7QhvuVbVqvtzRmwdxI/e5e3bxffr0Zh6l2PNCXM3ZbM/Zf5nZLylEH45l9qZSq6fNZ4ZhtYI4Kg07D/Q/GIlzmhvvmUTKTxV+W56INbV0ilQKioK6DStrt/jx+9mawNmWhniugunz6FhVPxXng97vluFWoPl7enMOkwvXYTDoWD/TE6gRfg4rvvxsGFxapqakYMeJReqOcP7FkyRLs3r27z17YE+hGYX0HXvg9HVICmBvthhVDeh4Lff5hLV7Ynw6hWIqBPjb4ZXF0j8K0bhc1YcEvd1Qu74vQoL6CRErg1T/uQyCWYoifHZ6K1V0QD990jfr/yReGqL3N7Cg3FNZ36NWqv/jyMK3jie7Ir2vHflkAWGu3Hc73CwZgfKiTxjZ9UUMHjtyrxLH0KlQr8C687UwxK9IV0we4ws1afWGl7nlpNGCYvz0WxLpjVLCjxuclCALnH9bi87O5VJEpD+0a4GGFTqEYmRWtmg2DtBgF8YTiHo0A5Gx8Q2DCZsCYxdBbCvj5zLBuPAEmvr1cgEs5dWAz6aDTAL5IilfHBfZZbs+/HZYmLOxbEYtXD9/HicxqbDiciaqWLrw4yjA5qoURC+fXDcO4b25Ql300LZQasREEgcqWLjxUKCCyq7moau1S+3jmHCaCnS0Q4mIBS2MW6rh8XMyuU2sbrwhjFgNrR/phXD9HmHFY2JlYgp9loXy/3y1Xui2bQcezw3xwv6oNN/Ib0C4Qg0mnYX6sO9aO8P9XGqoZXFgkJCT0Ogr3CXqP1k4hVu5JQbtAjBgva3w8PbTHLctDKRV44+h9SAlgbIgjvlswwGBCkERKYNP5PJVFdWGcBz6aFtqnyZK9xc5bJbhX1gIzDhP/mx2u83M7l/XIVXLVMB+tn83ywV5aC4vM98fC0li/gq1TKMap+zU4kFyONDUR7qGuFji6erDanWprpxAnM6vxR1oVMhVIYxZGTEyJcMHMSDdEeqj3rOgUinEqswa7k0qR3W0Rjva0xqRwZ1iZsNDYIcSuxBJ0CEgegCLC3j+vNtK8sL4Dz/+u3W2zt3CyMKJ2+CKJFLm12heBudFkp8bciORAyFNaXxzlj3Wj/FVUQg+r27DjVglOZlZTXiByZL43Vm2r+su5EUjYdBUtshTgwvoOfHkhD1PCXXrtiPtfAYfJwDfz+sPN2hhbrxXh60v5qGjpxMaZYQYR0W268csW/HIHiwZ6Iq+2HTk1XLXfS4BUk4S4WCDE2QLBzhawMGYir7YdW64WIVmHVba5ERMvjPTDmBAneNmaoF0gxrkHtZixJUnj8706LhCx3jbYk1SKH66SUwA6DZgZ6YaXRvn3KcH3r8Y/l/3xBBohkkix5rc0inn+49NRPTaV+vF6EaWKmBftjk9nhBqcJ1LP5WPS97dU5u2/PxPXZ/HsfYXC+g5sukDGx78zKZjyQNAEgiDw3K+PFsI3JgSpvZ02/oQimjoEOguLrKo27E8mA8DkJyUGnQYmnUYZ94wNccQPT0WCzaRDKiXAF0vQ1iXC6fs12HenDGXdxlAA6Vsx0McGYimBQykV2JVYotQBkKsztCG1rAWpZarGZt2h6WQqB5tBV2rvaycCqr+eSaep/cw3zQlXMYUjCAJp5S3YnVSGk5nKypJDqZU4lFqJ9WMCcFqmLBjgYYWX1BQVANDPxRJfze2PdaMCVEi7Q764gqfiPLA03kuJ02FpzMK60QF4/8RDNLQL4GxphJo2Pr65nK8SE///GXQ6Da+ND4KrtTHePZaFP+5Voo7Lx9aFkTq9VuTdh+6SdoCUlMvBZtDh72iGEFknItjZAsFOFuDyRTj/sBY/XC1U6Qp2h60pG8+P8MPoYEe42xiDRqNBIJbgam4D1h/KUCL+qsO+FbE4kVGNLy/kURLcyeHOWDc6AH4OvXNJ/ifgSWHxL8RHJ7ORVNQEUzYDO5ZG92j2RhAENp7Npdpzzw33xevjAw3uetzIb8DinclKl7GZdNx5c5TKzuHvhlgixSuHMyEUSzEswB7zYnQTmxSzOXYti1H6fKRSAvtTytUSKDVh5JfXkfjGSDBoNKUWfx2Xj/3J5WplkwDZEVI00HlYzcXg/12hxgb64EFVGx5UaZ/7q4MRi66ZByC7nCCA37q1eM2NmPhgSj/4OZgpjQWM2Yw+4QMcuVep9vJlu1LwxWxly2gajYYoTxtEedrgk+mhOJFRhY9OZSt1HL66+IhoPC3CBdqOBIIgqAKVzaRj0UBPXMmtR0kjDz9dL8aOmyWYFO6MlUN8KBvvp+I8sOd2KYobePCwMUFNGx97b5fhqVgPg8Zi/x+wMM4TLpbGeP73NNwsaMQcWTqqg7kRSpt4yK5WNpjSxxuCzaDjxAuD4WtvBiadhvLmTpzLqsVKPWLdHS04eH6EH0YGOSiNDeW8pQPJFZQzcXdEeljhpdEBGOxrixlbk/Cgqg2Ldjw6Z44OdsD6MYF6eaT8W/CfKSxyari4W9wEdxsT+Nibwc3auFc+Dv9U7Ltdin13ykCjAd/MH9AjaZZYIsUbRx/gD9mJ+e2JwXhmmI/Bj/HJ6Rwq0EcOxXTNfxp+uVmCzIpWmBsx8b9ZYTqLqLYuEfYqmC5Zm7CRVNiIJp4QL+xP13g/T1sTeNiYILGwUcUQCAAGf36lx+9BDk0zYUWEOFuoKALMOOTCnl3NVZGIAoCvvSlWDPHByCAH6j7axlgSKYHDqRXYfEFZ/XNi7eAeu4/qA4IgVL57o4MdYMJm4oTMMrqWy8fq4b4qf2dLYxYWDfLC0wM9kVnZht2JJTjWzR/jg5PZ+OBkNjaMDcDcGHcVftC3lwtwMrMaTDoNe5bFYpCvLd6eGIwrufXYfqsYd4qbcTyjGsczqhHrbYOVQ7wxKtgRb00Ixsq9qcira0ewswVyarj46FQ29i6Pfezqi38bYr1t8Pr4ILx/4iFya9sxaKPm44ZGA4yYj7wxIj2ssHVhFBzMOfCRKUWEsk5vZUuXTn6Om7Ux1iSQhUR3jgNBEMiu4eJYehV+uVmi9v7mHCbenhSMieHOsDBioalDgP+dy1Uq7MNcLfHRtH4Y4NEzf6B/Mv4zhcWEb5UTMpl0GjxsTOBtZwofe1N425lR/3cw5/wrD+LEwkZ8cJJUgLw2LghjFNIs9QVfJMHa39NxKacODDoNn88MM1iSVN3ahdFfXVfZKR9ZHd9jE63eQB4drEj66673z6xopQLU6DQavrtcoDNMqPv8XFOGRXeUNXWqHUXoiyF+dnCzNoYJm4mkokYljsDoYEe1KohRQQ5YONADw/ztNY6ymjoEOCILHlN0OtU3eKw7bhY04NPTOWo5DI+zqACAtPJWle7L9wsiwWHS4WRphJ9vFOOLc3mobePj/SnqZbw0Gg393a3w1dz+KGnkIVONimPzhXxsvpCPWC8bvDDKD4N97XD6QQ2lMvlkeigG+doCINv4o0McMTrEEVlVj3gYySXNSC5phpetCZYN9kZ/dytkVLSCzaSDzaDjZkEjLufUK6XT/n8CQRCo4wqQXdOGHAWDKW3eEP3dragxRoizBQKdzPH8b2T0QISbJQ6uGoTy5k58d0W5i6bJ4dfbzhSrE3yREGCv0TG3orkTJzKr8c2lfJVzgxwvjvLH7Eg3ymivrUuELy/kYeetEhWl0fhQp/9kUQH8hwqL7hBLCRQ38lDcyMPlbiM3UzYD3orFhqzg8LIzfWwxur1FSSMPa35Lg0RKYOYAVzw33LAOA0CGf63cQ0q62Ew6tjwVaXBxcim7Div3Klvw2pmxcfmVBL1JidrQ2CHE7sSSXlsFa0Nblwj7kyt6/VrlmBftDgtjpgbPACZ+vlmMG2q6AwA5Zpgc7oL5Me6I8lSO8j7/sBZ7b5dSvxuzGEpFRbSnNWZFuWFimLPGz14qJXCrsBEHUspxMbuOOiGasBmYEu6C+bHu6K8jeKw7Cura8dmZHFzNI9+TpTELL47yx8ensvV+jN5iT7duBY0GSh751sRgOFkY4ePT2dh7uwx1XD6+na+ZkPxbcjkyK9tgxKLj3EvD0CEQY2diCRV3DgDJpc1K7WsAeGaoN+ZrUBSFulri63n98fr4IOy5XYrf7pShtKlTabSWWdGKgT42uFPcjE9OZ2NogN3fEsAnR6fw0ThA0XW1LyGSSFHU0N0boh3NGhQ3DuYchLhYwNXKmBq10WjkWGmuwoZov4JJW2ZlG/x15GXYm3Pw5oQgDAuw1yqpb+YJcfpBDfbdLqXk5t0xM9IVC2I9EK1w/PIEYuxOKsVP14soiXWYqyVeGRuAZp4Q6w9lYk9SKZ4Z6vOPsuLuK/TKIKsneFwGWdq8AgyBnRmHKjS87UypLoe7jcnfdtC3dYkwY2siiht4GOBhhf3PDDRYtdHQLsCSncnIruHCnMPE9iXRiPOx1fv+QrEU7xx7gEOpynPtl0cHGCwJ647ypk5M+v6mSsx0T2DMYlCLupwLcE+BbDgmxBE+9qYauQLy3IDRX6n3ZJBj02xSZ6/rfTe0C3D4XgW+OJen9vo5UW7YNCdC5fKfbxThszOqJDQ3a2PMjHTDrEhXFS8NRdS0deFwKhkApjg2iXC3wvwYd0xRY7GtC40dAnxzKR/7kysgkRJg0mlYPMgLL47yg5UJW+kYVGeQ1Veo4/Ix+PMrSs6lJ9cOUYkkP3W/GusPZkIokSLa0xrbl0SrdGTKmzox/tsb6BRK8MGUECwd/EiyzROIcep+NT44ka1iPw2Q7fb1YwIR72urc/THE4hxJK0SO26VaOxmvTkhCKuG67YN70tUtnTiSm49frtTriKh/GJ2OGZHuvV4rNnWJUKuAg8ip5aL/FrN3hC+9qZUB0LejVBc9AViCV774z5l6z4xzAnu1ib46UaxyuN1R4izBQIczZRGXoWfTlDb3esSSnAhuxZH0qo0bgiiPK2xNN4LY0Iclc7FfJEEv94pw7ZrRZQ8OcDRDOvHBGJcP0fQaDQIxVIM/eIK6rgCfDU3olfx8erwrzTI+qfCwZyD+nYBJoU54/SDGt130IDGDgEaOwQq8iI6jTRyoYoNO1P42JMdDycLo8fGKRBLpFj7exqKG3hwsTTCT4uiDC4qKpo7sWjHXZQ2dcLOjI09y2PRz0VzAJW6+w/9QtWy+tQLQ7QGWekCXyTBtmtF2Ha9SOfMc1iAPcYEO8DGlKOXVbAcubVcTPn+FkQSQq+DuEsoQb/3z2m8Xp/3LJESuFnQgAPJFbiUU6fWuluOw/cqMVBmTsXli3Dmfg3ekBn7yCGPNZ8V6YYYLxuN3zWRRIqrufU4kFKBa3n1VBfHwoiJGQNcMT/WQ63Fti7wRRLsSizF1quFlNpjbIgj3pgQpFeWSV/jt7vlKp9p96ICACaHu8DOjINn9qYitawFs3+8jd3LYijynWKqbZy3DRZ3S7U15TAxL8YD82I81FrTp5W34ukddwGQ0sF5Me4ad7+mHCYWD/LCwjhPXM6pwyenc5SSZgFg49lcTB/gCkc9w+t6AomUQEZFC07dr8GuxFKtt33tj/t47Y/7OP3iEK3nC7k3RHY3g6nKFvU8IDMOUybpNJfJOy3h72im9bwmlRIobuDB1vTR53vmgfqMHQCIcLPEquG+GOxrpyTndbM2oaSdQe+eQ+FnEwGQ59lbhY04nlGNP9Or1D6mtQkLaxL8MK2/i8q4RCiW4lBqBX64UkiF6XnamuDl0QGYEuGidF5iM+lYEu+FL87lYfvNEswY4PqvHM1rw3+mYxH76SXUtwtw5sWhcLDg4MsLeTiQUkHN6GxM2Rrbbb2FEYsOL1tT+MoKDW87U3jbm8LXzqzXGvUPTz7ErsRSGLMYOPzcIIMX8txaLhbvSEZ9uwDuNsbYtzxOozOjOpy+X6PiO+Bla4JTLw41eMeriEvZdfjw1ENUNJMnH3tzDiVXlWcqdIcRi44hfnYYFeyIkUEOOk/AIokUM7YmIquKi9HBjvhlcZTGA7iOy8eYr65TbUtFWJuwcGn9cJ3qm5q2LhxKqcShVOUuwQAPKyyI8UCstw0SNl9Te18PGxPUcfmUnFSOr+ZGYEKo5uAwgHQFPZhSgcPdLLbjvG0wP9YdE0KdexRURBAETt2vwednc6n3E+pqgXcmhWCgmm7XX9GxEIglGPz5VTR2PHqfr4wJwAuj/DXeJ6+2HUt3JaOmjQ8Hcw52L4tFiIsFdieW4IOT2TBhM3DupWEaA+gkUgKr9t3DpZw6mHGYeHaYD36+UaxWSRDlaY1XxgRgoI/uLsayXcnUOEkRn0wPxaxItz5zvuTyRbie14AtVwt1enpowrh+jvhidgQ4TDoK6zuoAkJeRGjqNrpaGVMGUyGyboSbtbHOz0YqJZBTy8XBlAolArU2vD0xGPNj3XUa+0394RbliupkYYTxoU4qRGBFLB/sjVlRrghxtlA5f0ikBP5Mr8K3l/Opc5mLpRFeHOWPWVFuGgUErZ1CDNp4BV0iSZ/L8v8JHYv/ZGEhl+1kVbXho1PZSJZF5rpYGuGNicGYEu6MDoEYv90tpzwcDIEJm4EINyvUcfkob+7UuiO1MWU/KjbsTOEr43Z42proPNnvTy6nbGl7kgSaWtqM5btTwOWLEeRkjr3LY/WO8uaLJHjlcCal65fjnUnBWDHEu8cVdnlTJz48+RCXc+sBAM6WRnhnUgh8HUwx/pubsDNj4+LLw7HpQh72J5drtckNc7XEyCAHjA52RD8XC5WT1XeXC/DVxXxYmbBw4eVhap0/MypaNZIyHcw5SHxjpFZ1kVgexNWtS2BpzMKMAeTsNdDpkZQwq6oNk79XzaDojsF+tti7PE6jIoMvkuBCdh0OJJcrxbYrWmz3pptwr6wFn5zOpvT4ThZGeHVcIGYMcNW4KPwVhcWf6ZV4+aCybbq6oLfuqGnrwtKdKcira4cZh4k3Jwbh41PZ4Iuk+Hh6KBZpccDceCYHP90oBptJx4FnB1Jx7vl17diVWKKRr/Pa+EDMi3bXWJDyBGIkbL6mNm/FyoSFp+M8sXiQp97HrCJKG3nYn1KuFJqnC952pihpVE9u1AUWgwZ/B3Mlg6kQZwu9N1YSKYGcGi5+u1uO/cnlOm8/0McGHCZDSdmU9MZIuOjwpQFIJ9pRGuzn5ZgY5oRZkW4YFmCv9viXSgmcyarB1xfzqSwYOzMO1o7wxYI4D73G5u8dz8Le22UYFeSAHUtjdN5eXzwpLB5zYQGQu66zWbX49HQOteuK9rTGe1NCVJjrrZ1C7EosxbeXCwx+/snhzghyMkd1Gx8lDTwUN3agjqtZW02jAS6WxvCxJ8cqZJfDDD52pnCxMkZKaTOe3n4XYimhc0emDldy67DmtzTwReR8eceSGL0P8uKGDrW5D+fXDVNaJA1B97EHi0HDiiE+eGGkH0w5TLUhZA8q2/DeiSxqcWPQaYj2tIZALEVmZatS0eFgzsGoYAeMDHLEED87FDd2YNoPiRBLCXw7vz+m9XelbiuVEjiYWkEVbZqgbXEsb+rEgZRy/HGvUklDH+dtgwWxHhgf6qRSODZ2CHAioxof6SA5zop0wxezw9UWFfl17TiQXIGj6ZUqFtvzY0iL7d6QwSqaO/G/c7lUBLUJm4HnhvvimaE+OnfQf0VhMW1LopKTaLCzBc6+NFSv+7Z1ifDs3lTcLXk05hzsZ4t9y+M0FkuHUirw2pH7AKDyPZKDL5LgXFYt3j2epXbnHulhhQ3jAjHIx1alADqYUo7XjzyAhRETQU4WKiNYFoOGqRGuWDHEW6vPgUgiRWJhIz4/m9ujrsT2xdHgi0nFmD6wMWVj5gBXigvha29m0PdOIiWQVdWGfXfKKNm7Ngz1t8OKId6I87aFMZsBiZTA/J9vI6X0EX/K0YKDnUtj1I5t6rl8nMisxrGMKo1GcOFulpgb7a7VDZUgCFzJrcfmC/mUNbyVCQvPDffFkkFeBnWZShp5GPnlNRAEcPmV4fDto7Hik8LiLygs5OCLJPjlRjG2XitCl0gCGg2YHemGV8cHas2waGgX4OcbRRr1yppgY8rG2xOD4W1viqqWLpQ08lDc0CH7ydPpTKiIL2aFU2RSG1O2zt3Zn+mV2HD4PiRSAiMC7bF1YZTeX/ijaZVYf0h5RxjmaomDqwbChN2z0Uf3sccQPzt8MLWfksOcpnRTqZTAkbRK/O9cLho7yFHWhFAnPDfcF3l17biSU4+bBQ1KUi46DVTnIMLNEseeHwwajYZOoRjvHMtSYvtrQvJbo1R2igKxBBce1uFASjkSCx91CWxN2Zgd5YZ5MapdAoFYgss59TiaVolreQ1au1tyFH02Uamo0GTt7WxphLnR7pgT7aYx60NfcPkibLlaiF23SiGUSEGjAXOj3PHK2AC9d8yPu7BIL2/BjK1JSpcZmkEjEEsQ+M4jDs3iQZ74cGo/tcfUneImqrh/cZQ/1o/RHmQFkLvhnbdKVMzC5HhtfCDmx3hQ5nESKYFJ391Ebm07JoY54VpeAzqFEozv54TGDoGSy+lgP1usHOKD4QH2oNNpaOEJ8dONYp3ZNC6WRjBiMzRKLY1ZDLXkVIAce7rbmOBmgWpgVpSnNXYti9FLSSeWSPGgqg17kkpVPEPUYWSQA1YM8UaUp7Xazu72m8X45HQOTNkM7Fwag3eOZaGgvgOmbAa2Ph2F4QH2aOeLcC6rFsczqjUGfilC3TEvB0EQSCpqwuYLedRGx4zDxMqh3lg+xLvHasJn9qbiYnYdFsZ54NMZYT16jO54Ulj8hYWFHLVtfPzvXC5F0DFlM7B2pD+WD/HSW/VR09aF768UqoTJ6IKbtTE+mR6KwX52aOsSobiBh5LGDhQ38lDSwENJIw8F9eolTXJYGDHhI+tsyLkc8jGLCZtJRagDwIwBrvhidrheRmFdQgme/z0NV2QjCjk+nRGKhXE9C0pSN/Z4d3IIJoQ6qZzIdcWmt3WJ8M2lfOy9XQaJlIARi461I/ywcqgPaDTgbnEzruTW41JOnQppTBu/xozDxNUNCWhoF2Did6QXyiAfW+x/diB1m8L6DhxILsfR9CrqcWg0YKi/PRao6RIQBIH0ilYcTavEycwaJelehLsVZkW6Ykq4C949nkV1BhRhacxCxntj8KCqDQdSKnAio5qa5zPpNIwKdsD8GA8MC7DvdQaLWCLF/uRyfH2pgHpvg/1s8fbEEIOdAB93YbHuQLrKomTo8xQ1dGDCNzeVlAlL473w7uQQpc+ytJGH6VsT0dopwqRwZ3w/f4BBBG15Efru8Sy1fKH+7lZ4Y0IQ4rxtkFjYhKd33CUtyvu74khaJRwtOLjySgLy69qx41YJzmbVKjmv6sL0/i6I9LTGxew6tUVBdxix6Ah0sqC6QUYsOlLfGaPEo9IUJf/+lBAsjfdSOqZFEinuV7ZiZ2KpyjhVHcaGOGL5EG8M8LDSeR4urG/HxO9uQSiWYuPMMCyI9UBblwjP7bunlLyrDbOj3DAr0g1SgsDC7Xepy/M+Ga/y/PfKmrHpfB7limvEomNpvDdWDfOBdS/dhe8WN2Hez3dgxKIj6Y2+cSt+Ulj8DYWFHGnlLfjwZDZ1IHnYmODtScEYG+LYI/5ARXMnvr6Yj6MaGMWaEOBoho+mhSLGywYAsGx3CiVxem64L3gCMUoayaJDH7dFRexYEg1fmQuptvyP/Lp2jP36hsrlV14Z3qM5vbqxx8qhPlg7ghx7qIOuwkKO3Fou3jv+kOLNeNqa4P0pIRgZRPpx6MthYNBpuPfOaEp+qLgoFn46ASIJgTMPanAgpVyp3epkYYS50W6YE+2uEhJU1dqFP9MqcTStiopSlt9nRqQrZkW6KsWEH0guV1GAaIKXrQnmxXhgVpRrn6TEEgSBa3kN+PRMDgplxayvvSnenhSMEYEOPToGHmdhUd9OSkwVjYl+WhSFcf2c9H4MiZTA7B+TkF7eiqH+dhjmb49Pz5AR6BPDnPDV3P4wYjHQ1iXCzK2JKGrgIcLdCgefNVzerYjSRh52JZZQBm3d8dr4QFx4WIeMilYMD7BHUUMHKlu68MJIP6wa7ostVwux7ZruxNwgJ3M4WxqhSyTRaA0vx/AAeyWDKW87UzDoNOpvONjPFr+tHKj2vvJuQXd8MCUESUVNuJCtPcYeACaFOWPZYC9EuFsZ5JAslkgxa1sSMivbMDzAHruXxYAgSJ+Rw6mVOJKmeawy1N8OMyNdMa6fk1L39afrRUr5InLOTlZVGzZfyMM1GcGWzaDjqTgPrBnh22dJzQRBYOoPiXhQ1YYNYwOwdqRhI291eFJY/I2FBUC22Y9lVOHzs7nUnDze1xbvTQnpkVV2dxTWd+CLc7l6HWjd8fG0flgY56m0S+oSSlDaxKMKDXnHo6C+Q6sHBItBI63O7cyU/TnsTHExp04l62KQjy12LYvp0clU3djjw2n9dM4P9S0sAPJgPJFZjc/O5FA8llFBDnhjQhDW/Jams+sjB5tBx0BfWzS2C6gUzxkDXGFuxMSf6VXUZ8qg0zAi0AELYt0xPEDZ2ZInEONsVi2O3KvEnZImivdhzGJgQqgTZka6YZCvrUpn4Y97lXj1j0yt5FQAmNbfBfNi3DHQW7fKQF/k1HDx6ekcqj1sY8rGutH+WBDr0Ssb/MdZWHxzKZ9yu+zpc8gXEHMOE+dfHgYXK2OcyKzGK4cyIJIQiPW2wbaFkVh3MAM3CxrhbGmE488P7hF5Uh2EYiku59Th7WNZWhVqcqvvvsazw3zwzFAf2JtrVjfpU1gAQIdAjND3z+v93NP7u2BJvBfCXC0NDjlUxJarhdh0Pg/mRkx8t2AA7hQ34WRGNarb+Brvs35MAOZEuymFwnXHoh13qc6OjSkbcd42OJtFylkZdBrmRrth7Uh/naGFPcHxjCq8dCAD9uYc3Hp9RK/9kv4JhcV/xseiJ6DTaZgZ6YZx/Zyw7VoRfr5ZjKSiJkz89iaeivPA+jGBvWpN+TmY4efF0UqXkel7OTrbk+8ef4h3jz9y6RvsZ4t3JoUgyMlcyYtAIJbg5YMZlKY70sMKA31sqeKjpJEHgViK4gayEIHqRkMJCYH2eGVMIEQSqUGFRVkTDx+ezKZGKdrGHr0FjUa2jEcFO+L7KwXYeasEl3PrqZGLOvzx3CCEu1khpbQZl3PqcTm3DmVNnSoGOIoadncbY8yLdsecaHclaas8eOhIWiXOZdUqWZsPknlSjA910ijHPZRagdeP3NdZVABkYdFXUrR6Lh9fXsjHoXukDJvNoGPZYC+sGeHXJ66pjwtCsVSFszBzgCqJUhsK6trxpSxk7N0pIZR6YGqEC+zM2Fi19x6SS5oR9cklACRpdfuS6D4rKgDSv2BCmDMmhDmjorkTOxNL1HpJ9GVRwaDT8Mb4ICyJ9+oVqVcgliClpAU/3SjSa7QCkHkx/Vwsez2ukyOnhotN50mjuXa+GMt2pai9nYURE0KJFHwROe66U9yEJfFeWh977/JYeL9JZoo084Q4m1ULGo0Mo1s3OsAgib6hmBjmjI1nclHL5eNkZg1mR/WtYdbfgf/XhYUcphwmNsgMbjaezcGZB7X49Q4ZW71udAAWDfLss0CzEBcL7FsRR/1OEAR23CpR21pURGJhk0oeSryvLUobeahu44PFoOGbeQMwKVxZkiqVEqhu61Lqcpx+UKNW4gYA1/IaqNafgzlHIWuFlMn62JvC3dqEOknxRRJsvVaEHw0Ye/QVzGSmQ5okdRwmHTdeG6FUFAz2s8NgPzu8OzkYR9KqsOFwptr7AkC0pw287cxgIiO+FjV04Mi9ShxLr1LaIXnbmWJWpCumD3DVSaJUlBDrg+W7U3Fp/TClEYqh6BJKsP1mMbZdL6KKoEnhznhjfJDKOOefiLNZqt/XjbP0J7qJJVJskKXajgi0x5xuJ+54Xzscem6Q0vG1erivQSZyhkAoJm2t7+oYV2iC3Bsi2NkcFc2dWsmQ1zYk9OhvLBBJcS2vHj9eL9I5VgFIr5eWblySqT8k9kl+UAtPiOMZVVROkiaMDXHErCg3jAh0AJtJx/X8Bqz59R6Sipow58ck7FoWq7bjUN3ahe+vqCoB354YjJVDDY9OMBQsBh1LB3vh87O52H6zGLMi//2GWU8KCwW425hg68Io3Cluwocns6nkwd/uluHdySFICHTo8+esbOmi5qcTQp2w5alI0GjAneJmfHjyoVbpmKJ/gUhC4Pnf03Ax2wUbxgVSCxydToObtQncrE0wxM8OOxNL1RYV68cEoLKlkypAGjuEqG8XoL5doCTPA8hdkJu1sYo1sZ+DGX58OkpJ7fG4cK+sBbO2JWm9Tay3Ddr5YjgqdOzaOkX4M50M4ur+2Ya6WsDKmI37la3g8sX4M71KowufhRETUyJcMDPSDZEeurM2atq6MHvbbRWeTISbJebHemBKhAsOplSozdsY/dUNZL431mCzNfmob9P5PNTICqH+7lZ4d3IwojxtDHqsvxPdzYuMWHSD2sU/3ShGZmUbLIyY2DgzXO3fqo6r3Er/+UYxorys+6RbRBAEShp5OHyvUi+uhCYMC7DHJ9NC4W5jjMs59fj6Uj4eVmvvbkzfkohFgzzx9EBPrZkYfJEEiQrKidSyFizV0BEASDXNwjhPBDiaUZ+nWCLFa0fuK6mu5Mdo5vtjDeqKdQkluJRTh+MZVVrVVOFulpgV6YYpES4q3eXhAfY49NwgLNuVgvy6DszYkoidS2Mok8H6dj62Xi3C73fLKTJvqKsFJUf95HQOxvVz+kuK7wUxHvjucgFya9uRVNSEwX59Z5j1d+D/NcdCGyRSAgdTKvDlhTzK831kkAPenhTcZ3pjnkCMWduSkFvbjn4uFjj83CCNkk6plMD1/Aa8dyKL4i/oi6fiPLB8sDfWHUxX0XBvWxiJCWGqxlttXSJZkdEh8+WQczp4GqVpAMktkKtVfKisFdKRVNuJRR+OhURK4JAO/4mkN0biQHI5frxRDKFYCiadhuVDvDHIxxYnMqtx5kGNirslANx7ZzRlZMQXSbD5fB6239IsMV4a74WJYc6I9LDSODOWm2cdTKlQGdMsHuSJ+TEeKp4rGw7f10hA05RtoA53i5vwyekcKgHU1coYr08IwpRw58e2G3ocHIvMilZM62ZgdvaloXpbk+tj6Z5f145ZW5PQLhBjXD9HtPBESC5tBptBx5dzIzAlwsXg193CE+K3u2UqcfLa4GtvikG+tvj1jmFqMzksjJh4dVwgpkS44HBqJXYlllCdNTaTjpkDSD8Mf0dzdAkluFHQgK1XC9WmunbH8sHeeCrOA772pjq/P40dAkTLRkqKWBDrjs9mhGm8v1giRVJRE45lVOF8Vq1KGqgcThZGmD6AJEP7O+ru5FW1dmHZrmTk15Fy1M9mhiGnph17kkqpc9lAHxtsGBuIaC8bpJW3YKaCrDn7o3E9ltobgg9OPMTupFKMCLTHrmWxPX6cfwLH4klhoQNcvgjfXy7ArsRSiGXBS0vjvfDCKP9ezaWlUgKrfr2Hi9l1sDPj4MTawXq5xhXWt2PRDtKe2NGCg0UDPbE7qZTyeDAEujIAuqNLKMHWa4X4/kqh0uUDfWxQxxWgvLlTqyTOVuZC2j3G3sPGBGVNnRoLi3a+CB+fylYJQOsORZVAWRMP6w5mUJpzRQQ5maOfiyW1gI8KcsD2JdF4WM3FH/cqcSKzWolcZ8pmwMqEDVMO6QWguHuyMmEhIcAeI4MdMTzAHpbGLJQ18XAotQKHU5XNswCyZZz0xiiNviIiiRSTvrupMUlR14Jd0sjD52dzcP4hSRg24zCxZoQvlg/27pWyQR88jsJi/cEMFaWVvo+tj6V7U4cA07cmoqK5C7HeNvh1RRykBIH1hx7xlt6ZpL0l3ikU42E1F7/fLdfY4VKHQT62WBLviXA3KzhbGlGvTU7mM2UzMDHMGYf1MJBaEOuODWMDlVw+xRIpzmbVYvvNYr2Kh+64tiEBnrYmPS5Ek0uaMfen2yqX71oWgxGy7i9BELhf2YZjGVU4mVmjZNWuDvtWxCLe185g3kZblwiLd9xV+Rz6u1vh1XFkkJzi+/z1ThneOfaI1F782cTHlgclR1kTDwmbScOs3ow//wmFxZNRiA5YGLHw9qQQzI/1wKenc3Altx7bb5XgaHoVNowleRk9ISdtvpCHi9l1YDPp+GVxlF5FRUZFK5btSkZLpwi+9qbYtyIOLlbGShIlkUSKU/er8fafWUqkQnWY9J2yLPPFUf5YOVTV7IUgCFzMrsNHp7Ipj4ih/qTJlWL3RiSRory5k/LkKFYwBatvF6CJJ0QTT6hk+gOQnhDy8raxQ4g9SaXwsTcFi0HHSwfS1TqY0mnApfXD8czeVBQ18DC9vwvG9XOCVEogsagRB5IrkFWlejLlMOn4el5/pXl6tJcNxn1zQ2kxtzPjYMYActShuDtu6xLhZkEDLufU42pePVo7RTiWUa2X6c+KId54Z1Kw1hM1i0HHoVWD0P+ji2qvH//NDZxbN0zl8tZOIb67XIh9d0ohkhCg04AFsR54eUyA1hb4PxkN7QIVn4+3Jgbpff9t14qQVcWFlQkLn80MVfncBWIJVu27h4rmLnjYmODHp6Mo7tD3CyLhYJ6N3Uml+OR0Dmra+Hh7YjAaOwR4KAvbOv+wlsqc0AdD/Ozw9qRgnd2WKeEu2HmrBJmVbUgp1Y+HkVHRhtKmTspAjycQ43JuPb6/XKCXSmrtCD/Mi3GnwgYH+9n2mrAY622D4s8m4pvLBfhOwc1YTrp8eqAHEgub9LIRN2YxkPjGyB6R6buEEuxPLqest+UIdrbA0dXxaguGpwd64k5xE/X9G//tDVx4ebjBz20IPG1NMTbEEecf1mHHrVJsnNk3hll/B550LAzE9fwGfHwqm9L+Bztb4L3JIRjkq38EuWLewTfz+mO6Hgz3WwWNeHZfKjqFEkS4W2HX0hitB1kLT4iZ25J67P0vx1NxHiiq76B4Fi4ytcd4A9UeHQIxSrsVG3IyqbowJ234bWUcgp0t8OP1Ivx8oxj25hz8uiIOF7NrcTC1QmlUFOFmiZmRbqjl8rErsYRiiqsDm0mnCGBD/ex0jh3k47K3/tRNxlw22AvvTQ7R+zPTlmewaKAnPp4eCoAkAv56pwzfXi6gjLgSAu3x1sRgBOjRJu5L9HXHQp71ogh9ckEA4GF1m0ZLd4Asll85nImjaVWkvHhNvNIOUSyRoqiB7Hr1VKXhZWuCtyYGY1iAvcHdop9vFOGzM4bnGPUEdmYcGWfCg1LF6JKbGoq2ThFiPr2kNjK9O7ztTDFzgCs8bE3w8sEMSAng50VRGGuAZwlAFo7775bjh6tFVCfEx94UNIAqMmYMcMX/ZoWrVcwQBIHQ989TI5mVQ7zxzuQQg16DoUgpbcacH2+Dw6Qj6Y2ROoMP1eFJx+JfiOEB9oh/aSh+vVOGry+SfvELfrmDCaFOeGtisE6iT1p5C14/Qi5EaxJ89SoqTt+vwbqD6RBJCAz1t8OPT0dpVVykljZj9o+qLUhFy9ouoQS/3imjDII0obu7aHUbH408IQRiw+SoZhwmQl0tVdJZCYJAQ4cAp+/X4EMdrG85FJ3yAHJnO+6bRwZfbAYd82PdlTgMBEEg0NEc6w5mqDxelKc1Zke5YWKYs17jLbnF9sGUCtzr1n2xMGLC1oyjUtD9IUseHRXsgIQAB52Ofb72Zvh1RRwVy62IfXfKEOZqCUsTFjaeyUGpjEQb6GiOtyYFY3iAvc738E+HSCLFb3eVDaX6u+smyQJksbXh8H2IpQTG93PCVDUciW3Xi3A0rQoMOg1fzApHM0+E3YklyKlpR3YNF3l17RCq4eLowvwYd6wc6qMXF0Ed7le24quL+ZQySx2Wxnth5VBvJBY2UucSbWAz6XhplD9mR7lRCqm2LhEOJJdjd1Ipatr4+OpiPrZcLdTxSIajQyDG+axaHMuogliq/fN8Ks4Ds2RkaL5Iionf3YSUIKXFhhQVIokUR9Mq8d3lQoos7WZtjHWjAzC9vwuYDDoOyTYEf6ZXobaNjx8XRakc+zQaDRnvj4X/22cBANtvlSDK01otJ62vEO1pjQg3S2RWtuG3u+V40cCMqH8KnnQseoFmnhBfX8zHb3fLICXIA/iZod5Yk6Bealnd2oWpPySisUOAMSGO+OnpKJ1zu1/vlOHd41kgCNKt7qt5ERoZ8VIpga8u5uOHbieIpwd64MOpoTpHNu18EXbeKsXXl/QnnAHkQr5xZhimRLgYrJXn8kX47HQODqSoT4j8ZHooXK2NKTOwkkaeUk6HJrhYGsHH3gx0Og0Z5S1q49Dl6O9uhY+m9VMJpeuOB5Vt2J9SrmSxzaDTMCrIAQtiH1ls77hVoqTusDVlUwRggBzjRHlaY1SwI0YFOcDPwUzjItR91qsOdmZsvDI2EHOi3HplPmQoxBIpcmvbkV7egrTyViV+wVNxHvB3MIO/gzkCHM1gb84xaKE9mVmNF/YrB2KlvTtGr1b4Vxfz8d3lAtiYsnHh5WHUKIggCFS1duHriwVaHRoNgTGLgQ+n9sPEcGeNviX64GF1G76+WIBLOSQ3hkGnGWThrQuvjQ/E0wM9VcacIokUZx7UYPvNEoroK8fvK+MwyFc1OE0XhGIpbuQ34FhGFS7l1GntEnaHPIzrw5MPsSuxFI4WHFxYN1wvRZRESuDU/Wp8fTGfKrYdLTh4YaQ/5ka7q5ybbuQ3YPWv98ATSuDvYIZdy2LUysVbeEIM+PjRaPLiy8P0Io32FCcyq/Hi/nTYmbFx6/WRBne7/gkdiyeFRR8gt5aLj09lUwuegzkHr48PUoqY7hSKMefH23hYzUWQkzmOrI7X2nUgCAI/XCmkTH0Wxnngo2mai4PGDgEmfntThSz4+8o4xOspXSpt5OHDkw9xVbZbcrE0wguj/FHayMNPN/SPXwZIUuPGGWEYE+KodrErb+rEgl/uaLQpv/naCKXuj1AsxaWcOuxPLldr0BPhZgkajYbihg6tRYQiFMPKAJIA9+q4IKXFi8sX4Xh6FQ6kVChJ+zxtTTAvxh2zo9yU7H0V7Y7XJPji1XGBkBJAZmUrLufU4XJOvYrM1cPGhIp/j/W2UTkBvvXnA425NDMjXfHRtNBeLWr6opknRFpZC9LKyX/3K9t08njksDBiwt/RnCw2qJ9mcLIwUrtwzdqWpNIN0me8klXVhmlbEiGREliT4AtvO1NkyzgROTVcvb8b+qA3ab9y5Ne14+uL+ZTLI51GFrplTZ1Kxag2WJuw8OIof0yVSS7vljTj1T8y1arH/B3MsGlOBHW8yEEQBFJKW1TIlsHOFlg5xFvnpkEqJZBa1oLjGVU4/aBGbT6KHCHOFpgV5YbRwQ7YcDhTyTK/O3Yvi9Ep8ycIAucf1uGri3kUT8rWlI3VCb54eqCn1oX5YXUblu9OQR1XAHtzDnYpyFEVkV3NpbKEAMPls4ZAJJFi+BdXUd3GxxezwzHXwOLgSWHxHyksgEcEx09O56C8mayWI9yt8P6UEPR3s8Lzv6fhbFYtbE3ZOL52sFYjJamUwMensylXvhdH+uHlMQEadw5JRY146hfllrkJm4Gbr43Qa0bXJZRg27VC/Hi9GEIJaXL1zFAfrB3pp1Zm1dAuwPdXCrBXQ/aBJjhbGmFmpCu2XNWs5TdhM5D90Xjq9+KGDhxMqcCRtEoV5cvsKDd8OiMUHCYDYokUNwsbceRepdpgL0MR72uL1NIWpZkwm0HH+FAnzI9Vb7H9y41iarS0doQfXhmr/m9W2dKJq7n1uJRTj9tFTUrPYcZhYliAHUYGOWJEoD1szTjg8kUI/+CCxtea89F4g+Ka9YFYIkVeXTvSyluRLismSrv5lgCAOYeJ/h5WiPSwxrcKBL21I/yQX9eOwvoOlDbxoGnzbc5hws/RjOpu+DuagS+S4rlf7yndTtsC08ITIruGi4yKVsqZsa/xyhjSKK9DIMaSnckoauDBwoiJXxZHI85Hf36VHEUNHfjmUgFO3a/Wy4G1O1ytjHH6xSFU1o06tPCE2JVUqkScVMSr4wKxeJAnzBW6GIo8GcXUUwdzDpbEe+GpWA+lMV5ebTuOZVThREa11iwjTWRogIw+GP2Vej6RNk4NQZAS/C8v5FPdFgsjJlYN98XSeC+9DfqqW7uwfHcKcmvbYcJmYMtTkRgRpPpdU+TGAYbJvw2FnGMT6GiOc+uGGtQ1elJY/IcKCzkEYgl2JZbi+8sFKjpsFoOG/c8MRLSXZnMikUSK1/64T7WV358SgmWDvdXeViIl8OnpHOxMVPZbWDXMB6+PD9I5ZpEXQx+ezKZOCurUHvqgpq0Lm8/n96jFLLcrn/DtTar9dy6rFvuTy5XMucw5TCpufm60G76YHYHcWi6OppFGVorGX/4OZpgV5Ybp/V3hZGmkxDuxNGZh/ZgAlDTyUCQjknZPRFWHICdzDPCwhq9C3oq7jQlYDLpSkJGuQlARPIEYiYWNMpvxep1yO03Ql9SoCS08IdIrWnCvrAVpZa3IrGxV243wczBDpKyQiPS0hp9s3ARoJm/yRRIqubewrh0F9R3Ir2tHaZN2ebIidi4lA/UkUgK5te3IruYiu4bsQtRoyImwNGYhxNkCViYsVLZ0qbT6tcHfwQzvTQlRK21s7RRi5Z5UpJa1gM0gVUbdHW81obSRh++uFCiZSOkLDpOOtyYG4/0TD2HKZuDqqwl6hWERBIF7ZS145XCmiqkdQPpnfD2vP8LdrJSyQrY8FYnfk8uxJ6mUUmYZsegY7GsHOzMOMitbtRr4GUKGluf/vHQgQ+W6g88OVCne7hQ34csLeVS3w5TNwPIh3lg51KdHnQQuX4Q1v6bhVmEjGHQaPp4WiqfiPFRup9g9tDfnIOXt0QY/lz5o6xIhfuNl8IQS7FsRi6H++vOmnhQW/8HCQo76dj42n89T8l7wtDXB+XXDNLbmuoQSrPntHq7mNYBJp2HznAiN5M46Lh8jNl9TOfkfWT1IL1fF0kYePjj5kCKJuVga4b0pIRjXr++yPTTFLBsCOg1ICHTA/Bh33CxoxL47ZWAz6ViT4IuL2XVK4wlrExam9XfFrEg3hLpaKL0PxUVPcRGWy1P3JJXiUo7mrBFNYNJpSr4W9uYcfDu/P3ztzeBgIK9AKiXwoKoNl3PrNe4yNcGYxUDOx+N13xBkQZpf106ONMpakV7eopTGKocZh4n+7lZkIeFpjQHu1lpn3YaqQoRiKUqbeCio66C6G3dLmnrkyaKISWHOGORri8L6DtwsaFCRGWrCglgPrBvtr2QBrwl8kQQvHUjH+Yd1oNGA9yZr3gAApFR8ejejL23YPCeCypsRiqUY+/V1lDZ14vkRvrhV2ITMilbMiXLDpjkRej8mQKozdifp5lEpqkKEYil+v1um01JbjmhPa8wygAwtx82CBizakazx+uS3R6GqpQtfXcynxqEcJh2LB3niueG+PVJQKEIoluLNow+ozdHzI3yxYWygyjE8+PMr1EasJ38DfSHnmQwPsMee5fobZj0pLP7DhQVAMryn/qB8MnG1MsZbE4MxMUx5AW/rFGH5nhTcK2uBEYuObQuj1LbjAOBaXr2K3a6DOQcXXh6mtTUKPDK5+klh7PHsMB88P0L92KMnKG3kYcmuZLW7I4DkFMjHRb0Fi0HDqCBHzIx0RYIsI6A7frxehM9l3QT5zLK2jY/DqRU4mFqh1K0Id7PE2BBH5NS04/SDRyOVKREuGOpnh4qWTjLQTeZKqo2YZsJmKCXJyh1Ive1NVUh0chTWd2DjmRwVp87ufBB10OTY19opRHp5K8WNyKxoUyvx9bE3JTsRHtaI9LSCv4O5QR4tPZGbEgSBBlm6bHYNF1+cezyjDHUwZTPw0bRQTO3v0qMsIImUwAcnHmLfHXIkqNgprOfy8evdcoMKxFXDffDy6AC1G49zWbV47td7lA/Lmt/SAADHnx+MCHcrg187QRDIqGjFK4cy1RaVAHD4uUGo5wpwLKMK1/LqlSLr1WFNgi/mxbjD09Zw/wsuX4RxX99ATRsfSwZ5YuVQH8pTQx1YDBrmxbhj7Qh/OFn2XVAcQRD49nIBlaQ7rb8LvpgdrkSYF0uk8JMpRQD0iAehD8qbOpGw+SqkBHDh5WF6y8efFBb/4cKito2PaVtuoY4rwIhAe0zr74r/ncul2raxXjZ4b0oIQl0tUcflY/GOZOTVtcPCiImdS2PUjktEEineO56F/cnKCor1YwLwwkg/rbtjgiBwIbsOH3Ube3w4tR98+sCinCAI3C1pxvyf76i9PtbLBjuXxcCMwwRBkDvz/ckVOJlZbbCPhSL+XBOPAR6aQ466nwR+WRyNA8nluJpXTy3U5kZMzBjginkx7kpOpOnlLXj/xEPKBCnQ0RwfTO1HeZZ8f7mAItc6mHMwOdyFUq5UtHRpbfPbmbHhY/eo0LAyZuFEZjWV/8Kk0/D0QE+8NMof1qZsdAklSCpqxOXceo1EToAMYnp5TIBSIVGsZsduymZQ3IhID2sM8LDSWZTqgq7CQiyRoqSRR5Ep5aMMXR2KVcN9EOJsgQBHczDpNBQ18HCrsKHH1tc/Ph2FUcEOfRIsSBAEtl0v6lVBNK6fI96ZFKJVqk4QBOb9dAfJpc1UsuvR9CoM8LDC0dXxveoytvNF2JNUapD9uDo4WjziYRj6XXr1cCYO36uEl60Jzrw0lNrkKG4KFPHKmACs1XHO6w0Oy6IDxFICcd42+HlRtFK3rjvv6cTawTpVZT3B6l/v4WxWLebHuOPzWeF63edJYfEfLSz4Ignm/nQb9yvb4O9ghqNr4mFuxEKXUIKfbpBJoHyRFDQaEOdtg8yKNnSJJHAw52DvilgEOam+/qrWLgz+/IrK5fp8oR/n2EMoluJIWqXG/I61I/ywfkwA6HQapbDYn1yBbAXTIS9bE0R6WONoehXszNg4vnYI3v7zgVYtvyZMiXDBmxOCKCfT+T/f1pjOGOtlg/mx7pgY5qxxPCWVEjiYWoEvzuVS6Y1TIlxgbsSkFvgNYwOU3E8B8nMpb+6k8lYedTl4GpNlFeFhY4JRwQ6yvBUzeNubwtnCCHQ6jVxkfr6D5BL170sdfOxMMUDWiYj0sEaAo2HdCH2gWFg8+GAsxYXIkXUj8mrb1ea00GmkKZI6zoVcftgllCC5tBk38xtws6AReXWaZ/v6gMWgwcfOTIk4GuBoBk9bU70k01WtXdidWIJfbmrOk1HEiiHemBjmjE9PZyNNZjPvY2eK96f209t3RLED+sviaLx0IB2dQoneJnuaQBAEsqq4OJZRhR1a8nHkGBZgj1mRrhgb4gS+SILfZX4Y8u+1MYuBOdFuWD7YWy/3zss5dVixJxU0GnB41SBEe9mgorkT314uwNG0Sq2dOkNyYwzFzYIGrP41DR0CMfwczLBraYxS8deddJr6zug+d7m9V9aMWdtugy0zzNLn8Z8UFv/BwoIgCLx4IAMnM6thbcLC8eeHwMNWeSdS3dqFz8/m4kSmsg20/CTaHecf1mLVPmWWvI+9KY49P1hjSx14vGOP1k4hvjifp3H3LM/tkBPH9idX4PSDamp0wGbSMSHUCfNjPDDQxwbpFa1U8I+ixbciVg33wfmsWrXqBH1ha8rGrCg3zItxN4ig2topxJcXHnmWyLFutD/WjQ4w6DW080UobuBhy9VCXMiu0/t+bCYdEilhsL9BpIcVZke5Y1Swg178AUNAEASq2/jIrubimb2pOm9vymYgyNkCIc4WCHGxQLCzBQIdzWHMZmDOj0kq0sM3JwThZkEjkkub9TasCnA0w7PDfPHp6Wy0dIrAYtDw8pgAFNXzUFBPcjk0yWSZdBq87EwR4GgGP4dHslgWg459t8tUkla1wdGCg6/m9keIswU2XcjD/uRyEAQ5IntxlD+WD/Y22Pfl5YMZ+DO9CrHeNhgeYI9N5/PgaMHBlVcS9FZByFHWxMOx9Gocz6xS29XShlfGBGD5EG/qOQViCU5l1uCXm8UUoZNGA8YEO2LFEG/Eetuo3cS08IQY+80NNLQL8MxQknz5/ZUCHEypoEYvo4Md8crYANiYsjFw42WVc0Octw22LozsNcdCHXJquFi2KwW1XD7szEg5apjbo65m93Nz3ifjDUre1QWCIDBjaxIyKlr1Ptc8KSz+g4WFvD3OpNPw68o4DNQgRbtT3KQyNvCyNcE7k0IwKtgBNBpN5iCYqVKAvD0xGCuHemuVYT2usUdxQwdW7EnVaBUuD89p4QlxJK0SB1MqlLIKAhzNMD/GAzMGuMLSmIXbxU04cq9SJWhqkI8txoc64ZtL+WjpFOHpgR74ZLqyd75USuBSTh3ePpalVxdAEcsHe+OlUf4GRZETBIFn9t6jTIwAw3edADli+eR0DuXT4GjBwYaxgZgZ6YamDgHV2cisaMXRtCq9bJD1RairBUYFOWJUsANCXSwNClYSiqUoqJd3IdqRXdOGnJp2ykq8O5wtjZQKiBBnC3jYmKh9zofVbSrZNYZgcrgzPpoWChtTNtr5IszaloT8ug61qcFSKYHqti4U1HegoK4dBXUdpGKlvqNXY7nucLIwwvhQJxzLqKJ8Hab1d8GbE4J7zAuobu3CiM3XIBBL8f2CAfjifC4qmruwdoQfNowL1Hn/xg4BTmWS2TYZFa1ab2tjysbUCBeEOFvgl5vFajNH3G2MsW1hFOX9QBAEbhc1YfutElxR4AmFuVpi5VCya6M4gnpxfzpOZFbDxpSNSWHOOJRaQXW1hvrb4ZWxgejfjUNyI78Bi3eqkjw3jA3As8N8DS7WdKGmrQvLdpFyVGMWA1sWDsDIIEfq+o1nc/DTddLnh8WgIf+TCX06ojl1vxprf0+HrSkbiW/oNsx6Ulj8xwqLsw9qsFpGqto4MwwLYlXlSgBw4WEt1u5Ph1AsRayXDcaHOmHrtUd+9kP97bA03gsr9qjuAHW1/koaefjgxENczyfHCK5Wxnh3cnCvxh7yk8VT21XtpQHS0GfviliYsZm4U9yE/SkVOJ9VSy2IxiwGJoc7Y36sByI9rFDcyMORe5U4ll5FxTor4tbrI+BmbUJJu9ysjXF+3TCNO7JOoRin79fggBqLbUPwwkg/PDfcV+3zEASBry/m4ztZsmuQkzkaO4TU32xsiCPenax9Tl7Z0okvzuVRhaIxi4FVw33w7DAfGDEZKGrooJQaaeUtKGzo6JHHgb6wM2NjdLAjRgU7YrCfrdLi28ITUiMMOSeiqKFDLYGPSafBz8FMSXqY/u4YnbblfJEEqaUtuFnQYLABmyJ2Lo2mTvQSKYGVe1JwNa8BDuYcHF87GM6W2gP+CIJAUQMPP98o0pmgqwuTwp0xOcyZOg/IEeRkjg+n9uuR50V3bDqfiy1Xi+BtZ0ryq/ang82k4/L64Wq/fzyBGBeya3EsvRq3Chv17ngVfDpBqQjoFIqx73YZJavujvVjArByqDf1PSqs78DOxBIcuVdJFQvOlkZYGu+F+bEeSCpsVPmcAFJVsmFcoMZNGUDydT47k6sitQfI78OIQIc+Xdzb+SKs+S0NNwsaQacBH08PxcI4T+r6id/epMa7Y0Ic8cvi6D57brFEiuGbrqGqtQv/mxWGeTHq1xU5nhQW/6HCIquqDXN+vI0ukQTLBnvh/Sn91N7uUGoF3jhyH1KC/AJ+v2AAjFgMtPNF2HK1CDtvlajdoUa4WeL3ZwZqXFy7hBJsuVqIn2+QYw82g45nhnn3auwhFEvxx71KjSFbzw7zwRvjg9DIE+BwaiUOpVYoKUFCXS0wP8YD0/q7QCIlcDKzGn+kVSFTYadkYcTElAgXhLla4o2jD6jYdMVdyf5nBqoNecuqasP+ZNJiu13BYntkkAMuKowYCj6dgD/uaeaBaMPr44OwbLAXfrhSSFmlvz0xGM8M8wGXL8J3lwqwK6kUEikBDpOONQl+WDXcR2lX0c4XYeu1Iuy4VQKhmOTWjO/nhFHBjqhq6UJaeQvSNdiOe8r4J5EeVhjgYY0gJ3MVP4CkwkaNRV9fw8KIiRAXC4Q4WyLY2RwhLhbwczADh8nQSd4kCAL5daQE9EZBI+4WN6nlXGjCyCAHvDOJ3O1P/PYmSps6VeR+H53Mxs7EEhixyJRYdfwjgiBQUN+BH68VqXTK1GF4gD1mR7nBwpiFB5WtPSI5jgxywLrR/vC1NzN4ZNEdHQIxEjZdRWOHEO9NDsGlnDokFTVhQqgTtj0dBYAket/Ib8DxjGpczK6jjK40ob+7FWZFueFdmX28rhCy3Fou1h3IUOtj4WpljJ8WPepiNPOE+O1OGfbcLtPq0xLmaolXxgZgeIC93kVBU4cAo7+6TvGf5HCxNMLeFbE9jh5XB5FEireOPqBi7Fcn+OLVsYGgy+zXfd86Q932vckhWD5Es/zYUMgdff0dzHDh5WFaP58nhcV/pLCob+dj2g+JqGnjY1iAPXYuiVZrBqNoojQnyg0bZ4Yp3Y4vkmDqD7eU4rsBUo1w+sUhah9Tbmf78alHY49hAfb4YEpIj8cezTwhvryQh9808Cd+eGoAJoQ640Z+A/Ynl+Nybj21CzLnMDFtgAvmx3gg0Mkc1/IacOReJS7n1lG7XQadhoQAe8yKcsPIIAcYsRjIq23HuG9uwM6MjSsbEjD+6xuolknPPpwWSj03ly/C8YxqHEguV/Kw8LAhLbbnRLnh9+RySi723YIBakOoBGIJfrtTjo9O6afNV8SHU/thQawH1XLNr2vH+8cf4nYxqehwtzHGe5P7YUSgPQ6kVOCri/lo7mbPrI5HYsSiI9yNJFdGeZJKDX3JYMczqpTMhXztTZX8G76YFY7sGi7OZdWilqveUEoTGHQapoQ7Y1K4C+J9bTUujOoKi6YOAW4VNuJmQSNuFjRQRkv64rXxgVg+2FupUPvgxEPsTiqFs6URzq0bRnkl/Ha3DG//SS6MWxdGYqIsLIogCOTUtGPb9SKc7DZWVIfRwY5YneCLAe5W1NimSyjBvjul+PF6MfW39LU3xcI4TwQ4miO3lktZueuCm7UxZW3u52CGANlPQ2zZf79bjrf+fAArExZ+XhSN+T/fhpQgxwG1XD5O369RWWy7w8XSCDMiXTFjgBv8HMhzhaJBlj7ppnwRGWao6b2/PDoAzw7zgTGbAb5IgsOpFXj3+EOV2z0z1BtvTQzucZfhbnET5qlRpM2LdsebE4N6rXiSgyAIfH+lkErdnRLhgs1zSDkqTyBGv/fPU7dVZ+zVU3D5IsRvvIIOgVinzfmTwuI/UFjwRRIs+OUO0stb4WNvij/XDFYxhSEIAp+fy6XmcKuG+eCNCUFKB5G2mGyA5Ca8OzlEyYFN/dgjBOP6OfboAC2s78Bzv96jIuG749y6oTA3YuFQSgUOp1YojTGiPK0xP8Ydk8KdUdzAwx/3KnEis1ppQZVnBEyNcIG9ufKCqVhYjApyxMHUCnjYmODcuqEwZjHUE0AZdIwLdcKCGHcM9CEttoViKQLeeSQvNSS+u0sowc7EEoNtoZl0GjbODAObScfGM7l6L9zuNsaPfCM8rBHkbN4rCeTnZ3Px43XNdun6eGHoAycLI9KbQ+ZASv40w4jN16jbrE7wxc2CBmRV9SxyXJOTqCI3ac/yWIrbkljYiMU7kyGREnhlTAASAh2w5Wohzj2s1flcE0KdsDrBF2GulirPyRdJsD+5HFuvFVE8Hi9bE7w02h9TI1zBoNOQWNiID048pDgIEW6WeHGUP0zYTOTWcvVO7XWxNIKfozkCZIRRP5nFuTqCtlhCpn/m13UgIdBebwWVCZuB8aFOmB3pRh0zijC0sFBEQV07XtifrraLYWfGwdh+jricU6exuIxwt8LKId6YEOrUI6tsqZTA5gt52HpN9Rj4cGo/LIzz6DML7j/uVeKNI2SCbqy3DX5eFAUrEzYqmjuV/DeS3hhJKdR6i49PZWPHrRIM9bfDvhVxGm/3pLD4lxcWBEFg/aFM/JleBUtjFo49Pxje3eRVYokUb/35gJrdvjkhCKuG+yrd5lBqBV77477SZYP9bPHzomgcTa/CVxfyqN2HnCF9+n6N0thDrvYwNDOCIAgkFjapjecGgH4uFtizPBappS04kFKO6/kN1E7byoSFmQPcMD/WnXz/6VU4klap1HGxN+dgen/1GQGKkBcWctBowLaFUahs6cSBlAqlYsffwQzzYz0wc4Cryhx/6g+3KN8JTSobfUAQBD4/m9ur2X93xHrZYIBM7jnAw0ovO2ZdUPSGeFjNxc86Xq+tKVs2yrCgfnrbmSqdcGvaurA7qRTbb5b0acKmvvj9mTjE+6oG5/EEYoz/9gYqmruwINYdG2eSun5tWRPqMDXCBc8N90Wws7nGAlwgluBQaiW2XCmkCkU3a2O8OMofMwe4gsmgo6q1C5+dzqGM1GxM2Xh9fCDmRLkrLdgEQWDL1UJqhOJqZYyVQ71R1tSJgvp25Nd1aCUfO1kYyQoNsrvh72AGcyMWPj6VjVuFqoF83UGjkWToWZFuGB/qpHUU05vCQg59u4EvjvLH5HBn7LxVgqPpVZTqx9XKGEvjvTAv1l2r6k0T2rpEmPjtTbXZJYbaY2tDYmEjntt3D+0CMXztTbF7WSzcbUxUyKXZH43rE/PBiuZODN9EGmadWzdUrS0B8KSw6NPCQv5hvj8lBAmBDnC04PSZk6QmbLtWhP+dywWDTsPe5bEY3C1FlC+S4MX96biQXQc6Dfh8lrJDW6dQjOW7U1R8Fr6aG4GZkW7U722dInxzOR97b5epnOiHBdjjw6n9VAoaXRCIJfjjXiXVOu6OpfFeWDzIE4fvVeKPe5VKJ75BPraYH+uOhAAHXMuvx5G0KtwqaKB2w4ZkBMjRvbAASIa1fHzSnQCqbkFQ9PrwsDHBjddG6PVZdAdBEPjsTA7lUfDRtH5YPMgLALm4Xc9voJwPDcWuZTFIMGCGrIgOgRi5CmTKnBoucjV4Q2iCoe1ZkUSKlJJmXM6tx+Wcul5JfRUxMsgBa0f64d1jWUojLUBzl+ndY1nYd6cMLpZG+HRmGHYnllLdOm2YOcAVzyX4wl9LPL0cIokUR+5V4vsrhdTC5GJphLUj/TE7yg1sJh18kQTbbxZjy9UidIkkoNOARQM9sX5MoFaVR1X2EAAAN8xJREFU0eHUCrxx9AEkUgJD/Oyw7elIKgCstVOIwvoOKkelsL4DBXUdBo+tFOFjZ0rm5Qxwhaueu+a+KCwAsntwJqsGL+xP10hAtjVlY++KWPRzsURjhwC/3inDvttlVKqrKZuBeTEeWDbYSyspWhPSy1swQyZhV8QQPzt8PD3U4HOmOuTWknLUmjY+7MzY2Lk0BuFuVthytVCp81n82USDFFia8PxvaTj9oEarlfiTwuIxFBaKMDdiwtHCCI4WHDiaG8FB/n8LI+pye3NOj3THF7Pr8Oy+VBAE8PG0flgkW3jkaOeL8MzeVNwpbgabScf3CwZgXD8n6vr8unaM/foGuuPahgS1pjIljTw8vf2uShX++cwwzIl219vsqKlDgK8v5Wt0LfzfrDAYs5k4kFxOuUACZCtztsz/oZ7Lx9E0Mh5ZUZ7X04wAgNSLT/j2psrl4W6WmBfjjqkRLkopjOqg+B3oaeInQRD45HQOZRS0Yog3QpwtZC6Wrcir5fbJOEEOH3tTfDYjDHEKOn+5N0SOgjtldg1Xo0W6CZuBYGcLkkzpbAlbM7aStn51gi+2KbSH5aobfSEUS5Fe3oIbBQ3Ym1RGEWUfF35ZHA1vO1N42JiAzaRDKiXwzaVHihxdmBftjlXDfQziGIklUhzLqMZ3lwsou3kHcw7WjvTDvBh36hxxJZcM7ZP/LWK8rPHh1FC9u6TX8uqx5rc0dAolCHG2wO5lMXDQ4i3S0C7AzzeK9DbiUsSigZ6P/DgczQwyV+ppYUEQBC7n1OPLi/nIkakkrExYWDnEG3+mV2nMbXlxlD/WJJCd3OMZVdh+s4QaLdFpwPhQJ6wY4oMoT80uu5pezw9XCimHXEU8M9QbL4zy71FXRBG1bXws252CnBoujFkMfL9gAEaHOGLBz3co3lWstw0OrRrUq+cBgLTyFszcmgQ2g45bb4xQ2/V8Ulg85sJCX9iYsuFgznlUhFCFx6PfbU3Z1M47p4aLWduS0CmUYNFAT3w8PVTp8Ro7BFiyMxkPq7kw45DRynJVA0EQ2HenDO91IzCN6+eI7xYMUClyOoVibLlaiF9ulFBjDz8HM7R0Cil78H4uFnh/Sj/EemsOH8uva8fa39NUiKFyfDOvP+5XtuFoeiWluafRgGH+9lgQ6w4/B3OczKzG0fRKVDQ/Km7crI0xM9INsyJde5QRIId8N6oOI4McMMzfDt72ZvCxM4WLlbFKIXU1tx7LdpP5KUvjvfDBVPWqHG3gCcSYtS1Ja2IjQLZq+3tYobK5E5mVjxIzI9ws8c7kEMTI7Ni7t8r7As6WRpQnhNwfwlONN0RWVRsmf//IF2LD2AAlNYO29ixBECht6iTVG/mNuF3UqJLUqy9eHh0gy8XBI/fRBtKnI7lUf+dQXfhlcTTGhDjqvmE3SKQETt2vxreXCqjMDDszNlYn+GFhnAdFGi1r4uGjk9lUhouDOQdvTwrG1AgXg7tP9ytbsXx3Cho7hHC1Msae5bEUeVL+mu4WN+FYRhXOZtWiXY1aqCewMWXDz0HuNCojjTqawd7sUVheTwsL+Uh184U8yh/DnMPEyqE+WD7EC1y+GOO+voEOgRgLYj2QVdWmNm3WzoyDPctjEOJsgRsFjdh+s5gKHAOAAR5WeGaoD8aGOBrEl+AJxJjywy21RmCfzQjDvBj9N2fq0M4X4fnf03EjvwF0GvDhtFAsjPWAj4JSpCdmeoqQSglw+SKM/PI6mnlChLpaYPlgb7R0itDaKcTDaq6Sd8jjyDD5f1dYyDkWp18cAicLIxQ38lBU34HiRh6KG0hL5bJm/WOau4NOI7/0LNlsVY5PpofC1doYjuZkEdIplGDRjrsobeqEnRkbu5fFUrKrDoEYC36+o3JAKTLY5SDVHrX4+FSOktpDPvYQiqXYe7sU314uoE48k8Kd8eaEIGo3ShAEbhY0qjWTAciiYPEgT5x/WKfk/+BsaYQ50e6YGOaE9PJWHE2rVHJENOMwMTHMCbMi3RDjZdMnLT65Nl8fsJl0eNmayAK+yGLjtSOPOCr6RIgTBIGypk4qT+NeWSu1w+r+XGGulkpR4eXNnfjkVDZVVLhYGuH1CUGYEu6i9bPovtgbigPPDtSq7e+Oc1k1eO7XRyOb50f4Kn3Giu3Ztk4RkooacUOm3tAnRt4Q+NqbYnSwI0YGOSDK0xrtfDEGbrxs0BhHE+QnWDLszUwv0zOplMDZrFp8cymf2hlbm7CwargvFg/ypIquTqEYW68WUXwmJp2GFUPIna4hKo7uKG/qxOKd5HnCyoSFHUuiwWEycDyjCicyq/VSz4S5WmJmpCvife0wc2sieEIJPp8Zhm8vF1CbjpFBDiis70BFS6fGkYSlMYtSqexPJjuZvvamuLR+uF5FU2ppMzadz8NdmcW8EYuOpfHeWDXMB9ambBAEgUU7knGrsBGRHlY4/Fw8GHQaRBIpDqRUUBLX7lg7wg9rR/qhtImHnbdKcCy9mpLiu1kbY9lgb8yNdtPZyVSEJiM2bzuyc6hO1q4vRBIp3vkzCwdTySynVcN98NIof4S890gpsmtpDBIC7dEplKClU4jWThFaO0Wy/wtl/ycLhZZOIVq7Hl3f1iUyyNfm4+mhWDTQU/cNDcD/28JCG3lTnt9Q3NCBogZZwdHIQ1FDB7VL70sEOZljoI8tHCw4aGwXqjVzUdeWLm7owAcns3FDD7VHU4cAX17Mp+yCOUw6lsZ7wc6Mg0/PqJeARbhbIcTZAqcylf0fRgU5YE60O+g04FhGNS48rKVO/HQaMMT/UUZAT8YM2rD5fB7lE3H7zZGY8O3NHv9NItwsHxUdMuWCk6URCus7lKLCm3iaw6/enRyCSA8rhLhYUF2ksiYePj+bi7NZpNLAlM3AmhF+WDFEWQ4plRKoaOlUysnIruaqNQPrDUYGOeD9KSFaO0VfXcxXSticGemKo2mPvBteGuWPGwUNyKxo7dGIZ/EgTzw7zAdu1iZKXcNrGxIoXkZySbNStLw5h9mjcYopmwFH2aZBG2xM2bKMFTLgTZ4s62FjAg6TjgvZdfj6Yj7VmbIwYuLZYT5YOtibKhYIgiw8PjmVTf3dhvrb4f0p/ZS6C71BU4cAY7++ofV72B0O5hzMGOCKmZFuCHR65NEgd/x1tTLGrmUxmPzdLQglUqqT0yWUoKihAwX1j5xGC+raUd7cqfHvbm7EpHJU/B3JwsPfwQzOlkag0Wh4UNmGLy/mUYoUNoOOp+I8sGaEr1KLft+dMrx7LAtGLDrOvDhU7YiqorkTa/enK3ncyCHnYtibc/Dr7TL8erecUpuZc5iYH+uOJfFeeo/3CILALzeL8dkZVaOv8f2c8NbEYJUYBk0QiqVo7ZIVBDwhWjpF+PRMtlJXN8jJXGcX9HHgySikD9BbVUgzT0h1NorkhUdjB8qbOpVOin0JVytjstthYQRHcw4sjFn4416lUqT42hF+eqk9squ5ePFAukapKEAWFFIpodQxkfs/hLtZ4kZ+A45lVCsRNf0dzEgCWH/XPo0n7g7FwkKRvCcQS/DVhfw+VWcowsKIqWRM9cWscMyNUT4Y2zpF+P5KAfbcLoVIQoBOA+bFeGD9mACYGzGRV9v+iAtRTRIqNVlDu9sYI8SZNJVKKmpCuiyQik4Dnh7oiVdkBMD08ha8ezzLYLnm5HBnvD0pmHKbJAgCi3cmK7WTewNLYxbenxKC8aFOKqMUTQZZLTwh3j2ehVP39RsJrU7wxfLB3uCw6FSUtny8lVPDxbQtiRCKpXC04GDlEB+UNJGbhJJGnsE+GZEeVvhkehgCnR6FshXUteODkw+RWEjOx3sr4+6Opg4BTj+owbH0KiqQTBuMWHSM6+eEmZFuGOJnp7Zl3yWUYMTma6jl8vH6+CBw+SJsu1YET1sTXHh5mEYeGV8kQXEDjyo45MegoRjqb4fPZ4WrkETLmzox/tsb6BRK8P6UECwbrN00SiyR4mBqhUZS+fMjfPHsMF+ceVCD7TeLKc4Gg07DhFAnrBzqo2IBrgl8kQQztiap7VQGO1vgqTgPCMVStHWSBQPVYegSooVHdhV6OiIEyG6otQkLVsZsWJmwYG3ChrUpC5bGbFjLfpcQBDadz1PxwVGHH54agMnhLk84Fv+kwkITRBKyy/HW0QdUqw8g26a6DGj6AnICqpOFERzk/A8ZH0RORm3hifDqH5laq2JjFoNy32Mz6BjbzxFj+zmhnsvHn+lVSsx8eUbArEg3hLpaPLZoYkVoKiwUQRAEruU3YNmulMf2OlYMkbfUTeFuY4KL2XX47kqBUvdk5gBXiKUEsmu4KG7oULvjYzPpCHQ0R4icVOliiSBncxWiWHVrFz47k0MtujambLw2LhBzo1Uli7eLm/DOn1k6d+x9jdHBjnhhpB/CXLVniygWFt/O749vLxcYHG7lbWeKkUEOGBXkgD9kGTKetiY4+9JQ8AQSTN+SiKrWLsT72mLP8lgV348OgRiljY+4HMWNHTieodsUi82kw96Mo0KOXjTQE29NDO51h65TKMbF7DocS6/CjQJlW21NoXux3jaYHemGCWFOerX7j6ZVYv2hTJhxmDjz4lDM/jEJ9e0CvD4+CKsTfHXeH3j0N4zxssbH00OVuhuXcurUWrrLYcJmwM/hkSzW194M7x3PQk0bHwN9bPD7yoEGjU2rWruw9vc0qvhWhLUJC/tWxKGhXYDtt4qpIhB45JcT42UNbpeYLAQ6RWiVdRSoDoOsUNCUe6Qv6DSy4LY2eVQgWJqwkFvTrpTi3L1zUfjpBBWeiERK4HhGFdYfytT7+XctjcGIoEeGWU8Ki39BYQGQxMAVe1IgJZStWlt4Qnx9iZSByuFiaYT6doHWLoeVCQtmHCbMOEw0tAvUtkIVC4G+ghmHidUJvrA0ZuFaXj2u5TVQr5PFoGFUkCNmRroiIdChz4N8dEGfwgIgF9hKmQ32tmtFerUYrUxY2LMsFlKCkMWYk12pMw90myfpA7k3hCKp0qebN4QuJBU14v3jyiZLH00LRYSW3RdBELiaV483jz4weKeuC6+ND8SsSDe90lCFYilOZlbjlcO6T4aKEmJFDPW3w53iJrXXLYj1wEuj/LH6t3ukEZ2dzIhOB5ciqagRX1/MV+IHDfCwwpgQR7R1kQmzJY08lDbytB6vlsYsqtiUm4F5y0Yt2goOkUSKWwWNOJZRhQsPlW21zY2YkEoJiCSEWgv/WG8b/LYyziDDNKmUwLQtiXhQ1YanB3pggLs1XjmcCVM2A1c3JGhVn8ihjrxZ1dqF7y8X4PC9SqWCaFI4yQsrqGtHSSNPa9FhaczCyCAHJS8OdxsTrYRJ+ZihmSfEzzeKlUZ4fzUG+9liVJAjrE1ZsDJhw0pWSFibsGFuxNRYMOXVtmPZrmRUy+SobAadGq0FOJrhwsvDUdzQgbf/zKIUJNrw06IojAl2BJ1Ow6ens/HLzRIVou2TwuJfUFgU1LVjxtYkGZvZHZ/NCKN28LsTS/CBzFVvWn8XbJ4TASadhs0X8tQSES2NWRqTIOXwtjNFiIsFfO1M4WBhBDMOE6YcJtr5ItRxBShv5mF/ckWfvT+AJL+tHOKDQCdzOFoYwdqE9Zd0KRShqbDgiyR4UNWGtLIWSvKpzkzIjMPUK5nS2dIIB58dhK3XCnEghfwcRweThVRPCg03a2PEedvCRzbL97Y3hZetqc4EQnUQSaTYe7sM31zMR7tADBqNlE6+Oi5QYyR0ZUsnZZedWNik8/ulC/qEhwnEEvyZVqVEEtQEYxYDL432x8I4D5gbsZBby8X4b5RlxSODHLBzaQw6BGLcKmjA0bQqrXHyPy+KwpgQzWOJ1NJmfHkhnzpRs5l0PB3niecSfFTkeVlVbXj3eJbSrtjdxhieNqYoaeSpNVlShIulEbxlPB6y4DBBW5cIqaUtOJdVq7RpsDJhgUmnQSwllDpg5hwmJkc4Y1akGwrrO/D2sSxIpASGBdhj68JIg0iicmdSBp2Gsy8Nxat/3EdmRStmR7lh85wIiCRS1LbxUdnSharWLlS1dKGqtRNVrV2obuUr7d5DnC2UdtwAMCLQHq+MDaQI6XKIJFKUNXWiUGb4df5hrYo/iT4wZTNgYcxCO1/cp0mzAJn5EuxsQY4fTMgCgSwOWLCUjSQAYN7Pt9V2SaZEuOCNCUF6e4LIUcflY9muFGTXcGHEolPOwfpgfD8nfDw9VMWpGCCP/eGbrkEiJZTWvSeFxT+8sGjmCTF9SyLKmzsR522DfSviwGbSyaTLSwUUKW5pvBfemxyCti4Rxn1zA/XdFr5fV8RhiD9pntXaKSTlowbq0hmyoJu/AmwGHfbmHDhZkqMWB3OjblJcDhwsjGDOYfZZAaJYWHy3YADSyshgrofVXJXdpPzkLMe0/i74Zl5/JR+IvhqZhLtZwt6MAyM2A2wGHbVt5MlXm3ERjQa4WBpTxFH5Px87M7haq0plu6O+nY/Pz+ZSOzQLIyY2jAvEU7EeEIiluFPchJsFjbiR36AyFrEwYsLOnANul1hr4JO+eHVcIJ4e6IkTmaQkU9/HfPjhOLUOj28efUApD+TI+nCc0uK5/lAG9d5XDPGmPEUU4W5jTMW/x3nbgs2kI728BV9dzKf4JCwGDQtiPbAmwU+FH9TaKcTmC3n4/W45pARZAL0wiiTiKvIRuoQSlDbxlDpdJY08FDfwelXEMeg0DPO3w8xIN4wJcVQqRK/k1uH539LRJZIg1NUCO5fG6O3S2ikUY/J3t6jvRbyvrZIfTW9t3a1MWLA3I/1/7M05sDfjwM6cA7FESvEQmjqEehmXGYowV0vYm3NgZcKCpTELV3LrNXq7LB7kCW87U+y7XUZ9Fgw6DZPCnLFyqLfacDpFlDbykKBgUa+IF0f547nhPnobMBIEgRsFjViiQZ3XHT8tisLIIAe9ulVrf0/Dqfs1mBXphi/nkoZZTwqLf3BhIRRLsWjHXdwtaYa7jTGOPz8ENqZsSKQE3j+RRRlMrR8TgBdG+iGltAVzf7qt9BhmHCaubkigqs3ihg68f+IhdeJztTLGe1NCMDbEERIpgYqWLplihSSRFjf0TOsf6WEFsYykKf/rshl0jamp1qZs1HEFqOfyDWKom8hY+t09QBxknBB5UaKpXcwXSZBV1Ya08ha1DG057M05SnLPMFdLBL17jrq+++hEKJaiqKED2TKDqau59QbxEsJcLbF1YaRWtz+eQEwtNvJ/cmmzNt8BNoMOD5lUVq5c8LEnW+t2ZmylQi21tBnvHMvSOu5h0GkIcDQHgw6UNXZqVVtYm7Dw+vggFNZ3YLuaxbonsDVl48VR/pgb7Y7g9zT/TQCSBBu38ZLKjk3xthez6/DM3lTQacDh5+JR09aFtb+nAyA7a3ZmHCQVNVH2z+rApNMwJ9oda0f6qewuJVICB1MqsOl8LsWRmhLhgrcmBumMV++O3Fouvr1UQKmEDIGzpRFivW2ootPX3gxedqZUgZVRQXpdNPOEcLcxxp5lsfC2M0VrpwhVrV1qOw5VLV1/Ce+rpzBlM8gugSkLFkYsdAjEaGwXoKFDoHWMIgeLQYO3nSn8HcjQNn9HcqxiwmZg/cFMtedKUzYDzw7zxZ3iJqVRQ6yXDVYM9cboYEethf7BlHK8fkQ1FdnZ0givjw/CtP7qfUwM3UD+vCgKYxUMFPVFRkUrpm9JBItBQ+LrI+FgYfSksPinFhYEQeCtP7OwP7kcZhwmjq6JR4CjOYRiKdYfysCp+zWg0YCPZCYon5/LVcloWDXcB6+PCwKdTkOnUIwfrhTil5vFEEkIsBl0rBrugzUJ6tUeUik5O1+xJ7VX70MOIxYdzyf4IczNEs6WxjiRSTrbCcRS0GnA/FgPvDImALZmHAjFUjR0CFDH5aOujU/+bCd/r+fKLufy1UZ8a4KFjIAqIQhUt3bpbAWGu1lSeRqRHtZwszZWOnjfOfaAKuy+WzAA9mYcJZvrgvp2vU5U2uBiaYSDqwYZbCVMEASaeUKFQoOHkkZyl1va1Kl1QTTnMOFtT45RqmQLhyYEOJrB0pilxB9QhzEhjlga74UYLxuKN0MQBJ7Zew+Xcuqo52UyaD1elOg04POZ4UpeIuoKi59vFKkUkEdWD0KUJ2ko1sITYuw3N9DQLsCqYT6YEOaMeT/dhkAsxcoh3nhncggAcld+q6ARW64VqZUn2plxsGywF0YGOSDI6VEeSFp5C94//pBSRQU6muODqf0M8i7g8kU496AWxzKqcLu4iSrcmXQadd5p6RQqyQ0VoYmoqQgWgwY2g94rxcE/Cf1cLBDjZYMQZwtKtqppvCOVEqhq7aJUKvl1HSisb0dBfQc6NXweDDoNXrYm8HMwQ1YVV+NxE+9rCxtTNs5l1VIdTy9bEywf4o3ZUW4aOxASKYGF2++oRC8A5Cbu/Sn9EOZqiQvZdfjw5EOd40FNSHt3DGx0jCHVYfa2JKSWtWDtCD9sGBf4pLD4pxYWcu4EjQbsWBKNkUGO4AnEeO7Xe7hZ0AgWg4av5/VHnLcthm+6qvKFP/zcIMR42YAgCJzLqsXHClr4hEB7vD9FfbZHp1CMP+5VqrhyqoOFERNhbpaobeNrtMnVBA6TDjaDrrK7XTfaH2sS/PQibnYKxY8KjXay20EWHQLUcvmobO7ssW/DiEB7JdWLo7kR7M05EEmkKG3qxAY9SILmRkyKTBnkZI5diaXIq2sHg07D/Bh3pJe3qsyPteHHp6N6LTeUSMnCqnuXI7u6DY0d+neKdGH9mABMDHOGr72p2tfbzhdhx60SKlpeG2xN2WAx6AZnVphzmNg4KwyTwpxBo5FjvOGbrqoYbykWIC8dSMfxjGr42pti+5IYzPnxNho7BBgV5ICfF0cryUG/uVSg4miqjmfjamWMcDdLpJa1UNwccw4TL48JwKJBnnq1mwViCa7mNuB4RhUu59YrFYdhrpYwkUWCP6hqe5SXw6BjTIgjZkW5Is7bFjyhGI3tQtyvbMW5h7V6p5H+nfh4eihFUrQyYcHalCQtmrAZSt+r1k4hCuo7kFPD1evcBZB/F5LI+cgfQ1fBUd3WhYL6DhTWdVDhbYX1HT3iYgwLsEdmRSs1zrI0ZuGpOA8sGeSlUVbfPbnUEMyNdsOywd5UoXssvQqv/pGpsgHK+2S8wRETciM8KxMWbr8xiuocPiks+gB9VVjcyG/A0l3JkBLAWxOD8OwwX7TwhFi2OwUZFa0wYTPw06Io0EBTSQR1tjTCmReHwtqUrXbs8f6UELWks9o2Pn64WqAxv0MRgY7mMDNigicQK7XILYyYmBLhgllRbhjgbgUuX6xsBCbz5yhr6lQ7EumOhXEe8LEnDaZ89eAG1LR1Ia2slXKyfFjF1fk8dmYccJh01Lfze91hAMjdQ0KgA0YEOqCfiwXoMl7KK4cycEyN5NDciIkXRvphSbwXOEwGqlu78PT2uzrHJosGeuLtScE9ImgC5Ekyu4ZLkS5TS1v0+pvowswBrhjgYUUZgzlZGIFOp6GtU4RdSSX49nKBQc59csJfd7R1ifDtpQK1hm+GYE2CL14bHwTg0cmRTiM5SR+fzkFODRdBTub4Y3U8zDhMFDd04LvLBTieWU29j0nhznh5tD/8HEizqNo2Pq7k1uNKbh2u5zeo/V69Oi4Qc6LdtPIWpFICd0qacCKjGicyqzXulv/tCHO1xLLBXpgU7gwOk6HRi0QffHMpH99cKoClMQsXXx4GNpNOhaoVKBQD2pJcXa2Mya6GrNAIcCTHHpoKDoIgUMvly7ob7UpBbj2xQmfSaZgS4YIVQ7xVCKoCsQSHUirwrh7FE5NOw6Y54UgIcNBIhk4qasSqffeUXqe9OQfJb40yaAMjkRJI2HwVFc1d+GR6KN6ROZk+KSz6AH1RWBQ1dGD6lkS088WYHeWGTbPDUcvlY9GOZBTWd1DWu0fTqvDbXeUiQM616BJJVMYezw33wWo1Y4+sqja8fuS+Tva0hRGTshMvbuygTpYMOg0JAfaYFeWGkUEOei10YokUVa1dFI+jqIGHwvp2nS11NpMOb1tSbuduYwK+SCIzixGhoK5dbfvP1pSNAR7WiJRFhYe7Waq0Gxs7BMiqasPSPvamYDPosDVja2xLDvGzw2czwuBuY6z2IBaKpfjiXK5OLoKrlTEOPDtQ58iknssnCZcFDbhV0KjCZXG1Mka8ry1MZbvuP+5V6niHfYPuRNjfV8bhqe2PCmbFZFdtaOoQIOqTSwY/v7edKV4dF4h3j2WhiSfEc8N9UdTQgYvZdbAzY+PY84MhlQLfXSnA0bRKqiMwrp8j1o0OQLCz+mM9qagRbxx5oGQ2pw5mHCZivKzhZm0CLl+Eu8XNvUoU7UtYGrPgaWsCd2sTgAac1tNgTB9cWj9crYNoTwuLrKo2TN+SCLGUwLfz+2Naf1eNt5V3OOQFR34dOerQp+CQFxpyyaqmCHiCIFDfLlAqaO6WNBnsq5IQaI+mDqHaXBNNcLY0wjuTQmQZOdoLhPy6dizblaI0vlEkYuqLXYkl+PBkNnzsTKmN0ZPCog/Q28KitVOIGVuTUNLIQ7SnNX57Jg6VLV1YvCMZVa1dcLY0wqbZESpdCgA4/vxghLtZqh17fDCln1JaqURK4HJOHZ5VSJ9UBxoNsDZhg8WgoVMoUapq5QYwUyNc1MqQeoqq1i68fDADySWGE0YVMa2/C2ZHuSHe95FLoERKekgoOlRm13A1nkxsTNkKQVtkaqdirPq2hZFo4gllIxhy/FLH5aO+XaCXS50ccgKqYvjcIzLqo8sTCxv14rzIRyYCsRTJJc24WdCAmwWNKgRMUzYDg3xtEeRkAQlBIKO8VauO3daUjTUj/DA62IGy8G7rFOGNo/d7RB60MGLC18EMPnZmqGrtVJofn183TOmz/n1lHOL97HQ+ZvdFqaatC5+dycXJTN0GVerww1MDkFjYiIMpFVRB4WRhhBVDvOFuQxYC3C7ZP74Y3C4R8uraeyRzfNywM2MjzNUSXnamlMRRLne0kskfrU3YKmMGOSRSAjfyG6igvb6Au40xfGSeHHIF06Idj5QL+hYWArEEU79PRF5dOyaGOWHLU5E9Ghm28MiC4xG/giwItCmRFAsOeZdDV8HR0CHA1xfz+0S2/+JIP42pu7HeNnhvcohK56P766njCrBw+x2lkfbSeC+MCHJAXRsftVw+Sht5KGzoQEFdh97+RupchHuLJ4WFARBJ/q+9e49q6s72AP49eYeEJBAg4Q0iLeKrIMUitp2pTLXal3o7Ha/toHW1Y6trdLy3M057tTPTZXXduePqtNer01kVZ+44tfUua1vbaccBtaWjgIhvHj5QUCC8jAlvSH73j4QjgYAET0gT92ctFnDOMfyyhZOdc36/ve1YlleMby+2IFqnxCers1Fn7sSyPMes7AnhKizPThzSLGdihBr7XpmFJms3fnWb2x7t3X3Ye7yWr3sxEplEBImIc7n8Gh4sx9P3RWFResyw79KE0NNnxxdn6rH2w5Ne+xkDcRyQqFe53H4oem0OIoLlLien/WXX+TH9+6P3YPUjycM+ZkdPn0vjn34GjRwTI9QwOeeGeHKpVKuU8kmGzc5clvCNBscB06K1mDUxDFqlFOaOXuR9Wz1iE66cSQYsTo/G7OQwl8qLJksX/nDk8qhvRWRP1CMuVIWrzmWTo5lcZtDIXYpu7Vp+P7KS9BA550v0v6ibO3rR2t6DKpPVpXvq1h9Od5YoluF3f68UrKT4d5GIA1KjHPN5IrVK6IKkCFZIwQGwMwYGAAxgYGDMsdyz/2vHPubY5jyWMeDajU7877ErHt0i7J8/pFfJwABYu/pwqantjmMvE4uQEBaEBL0KuiCpc6yO5wAG7Cu7Vbhq9sQw6IKkzufhfI6Dni+/Hbeec//zd4YDDAx2u+OzuaMXVSbrHS2TBRznZYVUNOD/w3GlzZOJ6P5kSWYsNi+aJuhj3rWJxaers5Fi1PC/yACcf8zM5ReZsVu/4Bs/Pce/q/rzC5lobe/hX8RCVTKEqWVD2o0/90AclmTG4d38i/jy3K13jPMmG/Hy95Igl4rAmGPuwX8XXBxVTwB39CoZFqVHI3tiGEQcN+g5DPzDdXxvd/7V3Nrm+tz749H/h9to7Uaps/jUaN/p52bF85f+q0xWHDhdf0f3oOUSkcsL7EsPTXA5+dgZQ963V/j9P86KdzynAc+x/zmXXGl1O5nV0d4aLo/Z0d3HX+3w5CrHeEgMU4GDY6zXzZ0jria5HY1C4nIybe/p82iuBSHE/3zv3nDsWp4p6GPedYnFwMuwhBDibf0rQjgO4MBBJHJ87r/QxnEcRBzAOb92fAaqTG23nfvhzrzJRqgVEnAARByHk7VmVJpu3WJ7MDkMCXqVczzOn+kc28CrWz/MiMFHxx1zeIIVEjz/QDw4zvGY7w64rD+4QZ8nEvRBmBCuRlK4CjEhjtLdfJw48F/DGavuXhs6e23o7LGjs9eGrl4bOnuc2wZ9f7Ozd8jqIjJUepwO+17JFvQxR/v6PfpasWREWqUUdsbGNBN5IImIQ7w+yOVE1H+yctnmPBFwcGzo3y4a8HVLW4/HDasmhKsQppKjosEyppNKpFaB1EgN9GqZ67j5kx3Q3m3jl1uOtXqhSiZGUoQaRo3CbfnneH0QlmTG8SfhgSd7l1j1n9uc20WDxnqxsQ2FF1vcdkDsFxuqRHpcCOrNXWMqaEbG15LMOERpFTh1zTykX84jKRFYlB6D7zv75TS3deNwZRMKKkz4uqrZZWljpcmKWUl6zEmJwCOTDG5LPVu7erH/ZB3yCqtH/bf4bEYslmUnuNTgGM7lpjbk5hWjtrUT5+ss+LdH70WKMRi1rR3O2imO+inROiU/QbA/qXCMrw//c3ho+wEAeCYjFpFaBaJ0Shi1CiilYjRZu1Feb8HZOsuIc2eutHTgSksHCoave0e8rM7su0nIdMVilF6bn4LW9l68X+hc7SERYeVDjtUeNsbwUUktfnPg9vMnBlLLJVgwNRKL0qNxf0KoR53/Buu12VFRb+WXe56oueG2SI9WKeWrWKbFhSBUJUNNa4fLpMrhCsy4K6SkUUiw4fFULE6PuaPxDyzpvWv5/Y7Ko81to1qCO9iCaZFYMTsRSWHq2zaqGqy1vQeFF5vxTZVj0uXgFQIRwXI8mByOB5PDEKlVoORKK/aU1NI7qACwMC0aEyPUCFXJEKqSQa+SQa+WI1Qlg0YhQa+Nobi6Ff8oNyG/wjTk7+teQzBCVFLUto5c3GygiRFqzEmJQGqUBnXmLlxtcSQDV1s6xlxoiRDAcb4+8+u5gj7mXXsrJHuiHn9anok6cxfKam8gv7wRhyoaRyx17KnvO4tcSSUibD980aMXPxEHzE4Ox+L0aDyaahxzO+bmtm5nYy5H7YjT18xDKlpyHHBPRDDS43VIjdIiWC5BZ68NFfUWlNdbUV5vGTYuMSFKl26dqZEavgImYwz/KG/Eps/P44qzVv+0GC02Pp6KjITQMT0fd03IztdZMP8dR8Oq6bE6vPnUZFxuakfeP6+4rbjojl4lQ5KzHseEcJXzazViQ5SQiEXo7rPh66pmfHaqDp+fqR+xH8ud9lnwF+6a5T2SEoGCikb++6nRWry1cKpjoh5zVJt8atu3/P6cSQa+sued0KtkeDA5DOHBcuwuquHn8kRpFfiPx1ORER+CvaXXsLOw2qNy9J4KtGqYJLCEqWVYMXsCHp8WyRfxClZIcOZXlFjcEXftft3p6OnDnN8dGfd3A8kRaiyeEYOn74setrLbcPpsdlQ0OK9GOJMJd/doNQoJ0uJCkKAPgkIqhkwiQq3zasSlpna3L5oysQj3GNWYZNTwrb8nRWqgVd7+nX53nw27vr2Cdwsu8peIn3R2AIzysAOgu8Ri4FWoS2/Nx6WmNmz6vJxvcBQkE7tMGp0QpoJKLvFozTkZKkwth0EjH7Js88HksCErDDzt1ujO9BgtMhNDUd3cgepmx/yDsRZM+/694fhBqhE3Onqw/fAlwTtkEvJdFiyX8G8WfZlY3HVzLH739yo+qRi8pM4b5k814uWHJ2JKtGbUa7tb2rpRVnOriuWp2ptD1i5zHJAUrkZokAxyqQhKqRhdfXaU11uG7SwYEiTlrz70JxFJ4epRlTV2Ry4R4ycPJ2FRegz+66tKfFRai09P1eHv5xuw8uEk/OShpDFdkfnnpWbsHFSYKum1L4YcN3gliqfzSQJBgj4I02J0mBajRYpRg7BgR20ErVLKF0xjjMHS2QeT1VHr44PimhFbxDe3dbutHeBu2eKdJhX/OjMOL2QnosnajQZLJ640d+BSUxsKLza7tBYfrUOVTTjkB+WyCbmdBH0QunrtHhVsG3gFuleAar5jdVddsRiuU91IMhNCkRIZjD8fvXrHYwQcE/0eudcx2Ss9TgelVIxKkxUnaswocy77vOKmFbBExEEpFUMhE0MhFUEqFqHe3OW2WArHAQl61ZACUwaNfNTJzVicvX4Tv/7sHF/FM0qrwPr5k/DEtMjb/txlecV+0T9hvETrlJgarUXdzU6cvnb7KzA7nkvHD1KNLmXX+xOKa+YOvqlZ/+fLTe0uKwoIISMLd7aHb++x3dHybyHNTAyFSi6BVMxBLOIg4jgccFZopVshArhdYlF0uQXPvV/k0SXW8GD5iGVmvwsUUhFSBtzG6G+6NVzlOW9jjOHzM/XY/EUFP4EtIz7E0QEwZvgKdHfLcmGZWISYUCViQ4IQy38O4r/XKqXDJmFXW9rx453FuOom8RwsSqsYcxM4Qoj/U0rFKH9znqCPSbdCBqht7cDLu094fN/2dklFpFaBhWnRWJQezTdBGqir14avzjXg7X9cQLVAl+mTwlV4dLKRvxqRoFeN2BxsvHEch8enRSFnkgHvfX0Z2w9fwvGrN/DktkL8S3oMXp1374jNnwJdvD4IGQmhmBqtRUyIEkqZGIwBtTc6UHixGTWtjv4t5fWWO1q6TEkFIXe30Zb+9oaATyysXb1Y8acSwSorKqViPDbFiMUzYvDABL3Li7q5o2fI3AihJ49damrH9gHrzrVKqXMdfYSznK77Tnq+8MOMWEyN1mL9vtMwWbqxt/Qa9jqba+lVMq/O4v+uuuDsvviBrwdCCCFeEtCJhc3OsHbPySHluMcia4Iei2fEYN4UI9RyCWx2hguNVpdW4Z52zgMctSxSI53zIKI0/FyIslozCsobkV/ROGITnpudvdhXdt2lXn+/xDAVHkmJwJxJEZgRHwK5xPOJlH02O2529uJGRy/MHT2ou9mFq83tqHautb/a0o7mNs8ThLsxqSCEkLtBQCcW//lVBfIHrL33VGKYCovTo/F0WjSC5VKcqL2B945cwokaM07Wmj2+GhGtU7rMheivDeGusNTcyUbMnWx02cYYQ/3NLhypakJ+eSMKKkwj1lWobm7H+4XVeH+Y1t8SEYekcDVkEhGutrQHbDMeQggh4ydgE4v/K72GPxy57PG/0ygkWDAtCvfFasEYcKLmBnJ3FrttbDUcqZjDPYZglwJTk4waj6tADsZxHKJ0SixMi8ZD94RjxexEZ6U+xxK9g25KW4+kz85oZQAhhBBBBdyqEEIIIYTcKjYolNG+fo+tMhIhhBBCiBtjSiy2bduGhIQEKBQKzJw5E8XFxUKPixBCCCF+yOPE4sMPP8S6devwxhtv4MSJE5g+fTrmzp2LxsaxT5IkhBBCSGDwOLHYunUrXnzxRSxfvhypqanYsWMHgoKCsHPnTm+MjxBCCCF+xKPEoqenB6WlpcjJybn1ACIRcnJycPToUbf/pru7GxaLxeWDEEIIIYHJo8SiubkZNpsNBoPBZbvBYEBDg/tuiZs3b4ZWq+U/YmNjxz5aQgghhNyW0CtCPOH1Oha//OUvsW7dOv57i8XileTCl0EkhBBCiINHiUVYWBjEYjFMJtdCTCaTCUaj0e2/kcvlkMvlYx8hIYQQQvyGR7dCZDIZZsyYgfz8fH6b3W5Hfn4+srKyBB8cIYQQQvyLx7dC1q1bh9zcXGRkZCAzMxNvv/022tvbsXz5cm+MjxBCCCF+xOPE4tlnn0VTUxM2btyIhoYG3Hffffjyyy+HTOgkhBBCyN0nYHqFEEIIIcR7qFcIIYQQQsYdJRaEEEIIEQwlFoQQQggRDCUWhBBCCBEMJRaEEEIIEQwlFoQQQggRDCUWhBBCCBEMJRaEEEIIEYzXu5sO1l+Py2KxjPePJoQQQsgY9b9u366u5rgnFlarFQC80jqdEEIIId5ltVqh1WqH3T/uJb3tdjvq6uoQHBwMjuMEe1yLxYLY2FjU1tZSqXAvojiPH4r1+KA4jw+K8/jwZpwZY7BarYiKioJINPxMinG/YiESiRATE+O1x9doNPRLOw4ozuOHYj0+KM7jg+I8PrwV55GuVPSjyZuEEEIIEQwlFoQQQggRTMAkFnK5HG+88QbkcrmvhxLQKM7jh2I9PijO44PiPD6+C3Ee98mbhBBCCAlcAXPFghBCCCG+R4kFIYQQQgRDiQUhhBBCBEOJBSGEEEIEEzCJxbZt25CQkACFQoGZM2eiuLjY10Pya5s3b8b999+P4OBgRERE4Omnn0ZlZaXLMV1dXVi1ahX0ej3UajUWL14Mk8nkoxH7vy1btoDjOKxdu5bfRjEWzvXr1/Hcc89Br9dDqVRi6tSpOH78OL+fMYaNGzciMjISSqUSOTk5uHDhgg9H7H9sNhs2bNiAxMREKJVKJCUl4c0333TpLUFx9tzXX3+NJ554AlFRUeA4Dvv373fZP5qYtra2YunSpdBoNNDpdFixYgXa2tq8M2AWAPbs2cNkMhnbuXMnO3fuHHvxxReZTqdjJpPJ10PzW3PnzmV5eXns7Nmz7OTJk2z+/PksLi6OtbW18cesXLmSxcbGsvz8fHb8+HH2wAMPsFmzZvlw1P6ruLiYJSQksGnTprE1a9bw2ynGwmhtbWXx8fFs2bJlrKioiF2+fJl99dVX7OLFi/wxW7ZsYVqtlu3fv5+dOnWKPfnkkywxMZF1dnb6cOT+ZdOmTUyv17MDBw6w6upqtnfvXqZWq9nvf/97/hiKs+e++OIL9vrrr7N9+/YxAOzjjz922T+amM6bN49Nnz6dHTt2jH3zzTds4sSJbMmSJV4Zb0AkFpmZmWzVqlX89zabjUVFRbHNmzf7cFSBpbGxkQFgR44cYYwxZjabmVQqZXv37uWPKS8vZwDY0aNHfTVMv2S1WllycjI7ePAge/jhh/nEgmIsnF/84hds9uzZw+632+3MaDSy3/72t/w2s9nM5HI5++CDD8ZjiAFhwYIF7IUXXnDZtmjRIrZ06VLGGMVZCIMTi9HE9Pz58wwAKykp4Y/529/+xjiOY9evXxd8jH5/K6SnpwelpaXIycnht4lEIuTk5ODo0aM+HFlguXnzJgAgNDQUAFBaWore3l6XuKekpCAuLo7i7qFVq1ZhwYIFLrEEKMZC+vTTT5GRkYFnnnkGERERSEtLwx//+Ed+f3V1NRoaGlxirdVqMXPmTIq1B2bNmoX8/HxUVVUBAE6dOoXCwkI89thjACjO3jCamB49ehQ6nQ4ZGRn8MTk5ORCJRCgqKhJ8TOPehExozc3NsNlsMBgMLtsNBgMqKip8NKrAYrfbsXbtWmRnZ2PKlCkAgIaGBshkMuh0OpdjDQYDGhoafDBK/7Rnzx6cOHECJSUlQ/ZRjIVz+fJlbN++HevWrcNrr72GkpIS/PSnP4VMJkNubi4fT3fnEYr16K1fvx4WiwUpKSkQi8Ww2WzYtGkTli5dCgAUZy8YTUwbGhoQERHhsl8ikSA0NNQrcff7xIJ436pVq3D27FkUFhb6eigBpba2FmvWrMHBgwehUCh8PZyAZrfbkZGRgbfeegsAkJaWhrNnz2LHjh3Izc318egCx0cffYTdu3fjr3/9KyZPnoyTJ09i7dq1iIqKojjfRfz+VkhYWBjEYvGQmfImkwlGo9FHowocq1evxoEDB3Do0CGXdvdGoxE9PT0wm80ux1PcR6+0tBSNjY1IT0+HRCKBRCLBkSNH8M4770AikcBgMFCMBRIZGYnU1FSXbZMmTUJNTQ0A8PGk88idefXVV7F+/Xr86Ec/wtSpU/H888/jZz/7GTZv3gyA4uwNo4mp0WhEY2Ojy/6+vj60trZ6Je5+n1jIZDLMmDED+fn5/Da73Y78/HxkZWX5cGT+jTGG1atX4+OPP0ZBQQESExNd9s+YMQNSqdQl7pWVlaipqaG4j9KcOXNw5swZnDx5kv/IyMjA0qVL+a8pxsLIzs4esly6qqoK8fHxAIDExEQYjUaXWFssFhQVFVGsPdDR0QGRyPVlRSwWw263A6A4e8NoYpqVlQWz2YzS0lL+mIKCAtjtdsycOVP4QQk+HdQH9uzZw+RyOdu1axc7f/48e+mll5hOp2MNDQ2+Hprfevnll5lWq2WHDx9m9fX1/EdHRwd/zMqVK1lcXBwrKChgx48fZ1lZWSwrK8uHo/Z/A1eFMEYxFkpxcTGTSCRs06ZN7MKFC2z37t0sKCiI/eUvf+GP2bJlC9PpdOyTTz5hp0+fZk899RQtg/RQbm4ui46O5peb7tu3j4WFhbGf//zn/DEUZ89ZrVZWVlbGysrKGAC2detWVlZWxq5evcoYG11M582bx9LS0lhRURErLCxkycnJtNz0dt59910WFxfHZDIZy8zMZMeOHfP1kPwaALcfeXl5/DGdnZ3slVdeYSEhISwoKIgtXLiQ1dfX+27QAWBwYkExFs5nn33GpkyZwuRyOUtJSWHvvfeey3673c42bNjADAYDk8vlbM6cOayystJHo/VPFouFrVmzhsXFxTGFQsEmTJjAXn/9ddbd3c0fQ3H23KFDh9yej3Nzcxljo4tpS0sLW7JkCVOr1Uyj0bDly5czq9XqlfFS23RCCCGECMbv51gQQggh5LuDEgtCCCGECIYSC0IIIYQIhhILQgghhAiGEgtCCCGECIYSC0IIIYQIhhILQgghhAiGEgtCCCGECIYSC0IIIYQIhhILQgghhAiGEgtCCCGECIYSC0IIIYQI5v8B5Ka5TMj/4r4AAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"predictors = ['appl']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 0.010048066606673962\n",
" Predictor coefficient\n",
"0 appl 0.04191\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 0.1090\n",
" Mean Absolute Error (MAE) : 0.0447\n",
" Mean Percentage Error (MPE) : -17606.2312\n",
"Mean Absolute Percentage Error (MAPE) : 17620.2063\n"
]
}
],
"source": [
"scaler = preprocessing.MinMaxScaler()\n",
"d = scaler.fit_transform(timing_df)\n",
"normalized_df = pd.DataFrame(d, columns=timing_df.columns)\n",
"\n",
"predictors = ['appl']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = normalized_df[predictors]\n",
"overall_y = normalized_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Load"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 445536.13965568773\n",
" Predictor coefficient\n",
"0 load -1015.396933\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : -0.0000\n",
" Root Mean Squared Error (RMSE) : 442633.9662\n",
" Mean Absolute Error (MAE) : 186136.1892\n",
" Mean Percentage Error (MPE) : -3308.5538\n",
"Mean Absolute Percentage Error (MAPE) : 3331.5614\n"
]
}
],
"source": [
"predictors = ['load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## All Vars"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Overall Runtime"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept -58054.89252320345\n",
" Predictor coefficient\n",
"0 nodes -872.584718\n",
"1 exploit 49.805953\n",
"2 appl 1575.244214\n",
"3 load -68.075156\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 189043.5348\n",
" Mean Absolute Error (MAE) : 82436.8687\n",
" Mean Percentage Error (MPE) : 334.3634\n",
"Mean Absolute Percentage Error (MAPE) : 1191.8060\n"
]
}
],
"source": [
"predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"runtime_lm = LinearRegression()\n",
"runtime_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', runtime_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': runtime_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, runtime_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Task 0"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 0.0\n",
" Predictor coefficient\n",
"0 nodes 0.0\n",
"1 exploit 0.0\n",
"2 appl 0.0\n",
"3 load 0.0\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
"Root Mean Squared Error (RMSE) : 0.0000\n",
" Mean Absolute Error (MAE) : 0.0000\n"
]
}
],
"source": [
"# Linear Regression - Task 0\n",
"t0_outcome = 'task0'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[t0_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"t0_lm = LinearRegression()\n",
"t0_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', t0_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': t0_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, t0_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Task 1"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept -8930.11863104882\n",
" Predictor coefficient\n",
"0 nodes -232.287083\n",
"1 exploit 18.859014\n",
"2 appl 151.902207\n",
"3 load -7.775745\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : -0.0000\n",
" Root Mean Squared Error (RMSE) : 19547.1452\n",
" Mean Absolute Error (MAE) : 11878.2487\n",
" Mean Percentage Error (MPE) : 766.9344\n",
"Mean Absolute Percentage Error (MAPE) : 912.9252\n"
]
}
],
"source": [
"# Linear Regression - Task 1\n",
"t1_outcome = 'task1'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[t1_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"t1_lm = LinearRegression()\n",
"t1_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', t1_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': t1_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, t1_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Task 2"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept -33033.61791812297\n",
" Predictor coefficient\n",
"0 nodes 98.141525\n",
"1 exploit 28.211256\n",
"2 appl 1191.485769\n",
"3 load -114.265223\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 164019.5175\n",
" Mean Absolute Error (MAE) : 67768.4301\n",
" Mean Percentage Error (MPE) : 14109.3156\n",
"Mean Absolute Percentage Error (MAPE) : 40718.5528\n"
]
}
],
"source": [
"# Linear Regression - Task 2\n",
"t2_outcome = 'task2'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[t2_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"t2_lm = LinearRegression()\n",
"t2_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', t2_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': t2_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, t2_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Task 3"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 64.74568294128446\n",
" Predictor coefficient\n",
"0 nodes 20.863592\n",
"1 exploit -0.002906\n",
"2 appl -0.027356\n",
"3 load 0.227492\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : -0.0000\n",
" Root Mean Squared Error (RMSE) : 95.9494\n",
" Mean Absolute Error (MAE) : 80.7147\n",
" Mean Percentage Error (MPE) : -48.7684\n",
"Mean Absolute Percentage Error (MAPE) : 77.1556\n"
]
}
],
"source": [
"# Linear Regression - Task 3\n",
"t3_outcome = 'task3'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[t3_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"t3_lm = LinearRegression()\n",
"t3_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', t3_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': t3_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, t3_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Task 4"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 346.4317371043873\n",
" Predictor coefficient\n",
"0 nodes -2.648924\n",
"1 exploit 0.000311\n",
"2 appl 0.000503\n",
"3 load -0.696739\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
"Root Mean Squared Error (RMSE) : 150.2358\n",
" Mean Absolute Error (MAE) : 111.7243\n"
]
}
],
"source": [
"# Linear Regression - Task 4\n",
"t4_outcome = 'task4'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[t4_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"t4_lm = LinearRegression()\n",
"t4_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', t4_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': t4_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, t4_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Linear Regression - Task 5"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 3.2276550472205336\n",
" Predictor coefficient\n",
"0 nodes -0.344255\n",
"1 exploit 0.000049\n",
"2 appl 0.001636\n",
"3 load -0.001017\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
"Root Mean Squared Error (RMSE) : 1.8391\n",
" Mean Absolute Error (MAE) : 1.4637\n"
]
}
],
"source": [
"# Linear Regression - Task 5\n",
"t5_outcome = 'task5'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[t5_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"t5_lm = LinearRegression()\n",
"t5_lm.fit(train_X, train_y)\n",
"# print coefficients\n",
"print('intercept ', t5_lm.intercept_)\n",
"print(pd.DataFrame({'Predictor': X.columns, 'coefficient': t5_lm.coef_}))\n",
"# print performance measures\n",
"regressionSummary(train_y, t5_lm.predict(train_X))"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Nonlinear Regression"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Random Forest"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Nodes"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/noah/.local/lib/python3.10/site-packages/sklearn/base.py:420: UserWarning: X does not have valid feature names, but RandomForestRegressor was fitted with feature names\n",
" warnings.warn(\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Random Forest\n",
"#predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"predictors = ['nodes']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"regressor = RandomForestRegressor(n_estimators = 10, random_state = 0)\n",
"regressor.fit(train_X, train_y)\n",
"\n",
"X_grid = np.arange(0, 12, 1)\n",
"X_grid = X_grid.reshape((len(X_grid),1))\n",
"plt.scatter(X, overall_y, color = 'red')\n",
"plt.plot(X_grid, regressor.predict(X_grid), color = 'blue')\n",
"plt.title('Random Forest Regression')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exploit"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/noah/.local/lib/python3.10/site-packages/sklearn/base.py:420: UserWarning: X does not have valid feature names, but RandomForestRegressor was fitted with feature names\n",
" warnings.warn(\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Random Forest\n",
"#predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"predictors = ['exploit']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"regressor = RandomForestRegressor(n_estimators = 10, random_state = 0)\n",
"regressor.fit(train_X, train_y)\n",
"\n",
"X_grid = np.arange(0, 49152, 10)\n",
"X_grid = X_grid.reshape((len(X_grid),1))\n",
"plt.scatter(X, overall_y, color = 'red')\n",
"plt.plot(X_grid, regressor.predict(X_grid), color = 'blue')\n",
"plt.title('Random Forest Regression')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Applicable"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/noah/.local/lib/python3.10/site-packages/sklearn/base.py:420: UserWarning: X does not have valid feature names, but RandomForestRegressor was fitted with feature names\n",
" warnings.warn(\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Random Forest\n",
"#predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"predictors = ['appl']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"regressor = RandomForestRegressor(n_estimators = 10, random_state = 0)\n",
"regressor.fit(train_X, train_y)\n",
"\n",
"X_grid = np.arange(0, 100, 10)\n",
"X_grid = X_grid.reshape((len(X_grid),1))\n",
"plt.scatter(X, overall_y, color = 'red')\n",
"plt.plot(X_grid, regressor.predict(X_grid), color = 'blue')\n",
"plt.title('Random Forest Regression')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Load"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/noah/.local/lib/python3.10/site-packages/sklearn/base.py:420: UserWarning: X does not have valid feature names, but RandomForestRegressor was fitted with feature names\n",
" warnings.warn(\n"
]
},
{
"data": {
"image/png": 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YPXo0duzYgY0bN1ZKn5+f78jb4MGDcfXqVSxevNjxvM1mw9tvv+32+48ePRpWqxV///vfKz1XVlbmKN/vv/9eqc7ss5TsdWKvPzs/Pz/06NHDKU1FN910E8LDw/Huu+86pVm/fj0OHTqEoUOHul0WIpk0Od305MmTWLJkCU6ePInIyEgAwDPPPIMNGzZgyZIlmDt3Ln755RecOHECK1euxH/+8x9YrVY89dRTGDVqlNvT80i/ZsyYgfvuuw9Lly7FY489hrvvvhsWiwX33nsvhg4diuzsbLz77rvo2rUrLl68WKf3SE1NxdChQ3HbbbdhwoQJuHDhAhYuXIjrrrvO6TWHDRuGAQMG4Nlnn8Xx48fRs2dPbNq0CWvXrsW0adPqNJVStnnz5iExMRFxcXF4+OGHHdNNQ0JC8MILL9T4/7GxsXj55Zcxe/ZsHD9+HCNGjEDTpk2RnZ2N1atX49FHH8UzzzyDbdu2YerUqbjvvvvQuXNnlJWV4b///S/MZjNGjhzpeL1evXphy5YtePPNNxEZGYn27ds7LlatjZSUFKSlpeHVV1/FihUrMGPGDHzyySe4++67kZycjF69euHSpUs4cOAA0tPTcfz4cYSFhWHEiBHo3bs3nn76aRw9ehRdunTBJ5984vhi4s4Rldtvvx2TJk1Camoq9u/fjzvvvBMNGjTAkSNHsHLlSixYsACjRo3CsmXLsGjRItx7772IjY1FUVERFi9ejODgYEdQZ/9SdMcddyAqKgonTpzAwoULcf311zuu1amoQYMGeO211zB+/HjcfvvtGDNmjGO6aUxMDJ566qla1yeRFGpNRykPgFi9erXjb/t0qSZNmjg9/P39xejRo4UQQkycOFEAEIcPH3b83549ewQA8dNPP3m7COQB9mmUVU3Ts1qtIjY2VsTGxoqysjJhs9nE3LlzRbt27URgYKC44YYbxLp168S4ceOcpobapy7Omzev0msCEHPmzHHatmrVKnHttdeKwMBA0bVrV2GxWCq9phBCFBUViaeeekpERkaKBg0aiE6dOol58+YJm81W6T2mTJnitM1VnuzTC2uaulldPZW3ZcsW0bdvX9GoUSMRHBwshg0bJn788UenNPbppufOnavyNVatWiVuu+02x5js0qWLmDJlimMc/vLLL2LChAkiNjZWNGzYUDRv3lwMGDBAbNmyxel1fvrpJ9GvXz/RqFEjAaDaqafVtZkQQiQnJwuz2eyY1ltUVCRmz54tOnbsKAICAkRYWJi49dZbxfz580Vpaanj/86dOycefPBB0bRpUxESEiKSk5PFV199JQCIFStWONKNGzdONGnSxGX+3n//fdGrVy/RqFEj0bRpU9G9e3cxc+ZM8euvvwohhNi7d68YM2aMaNu2rQgMDBTh4eHi7rvvFrt373a8Rnp6urjzzjtFeHi4CAgIEG3bthWTJk0SeXl5jjQVp5vaffzxx+KGG24QgYGBonnz5mLs2LHi1KlTTmlclcHe3kQymYRQ4cqwCkwmE1avXu24b8DHH3+MsWPH4ocffqh0wVFQUBBat26NOXPmYO7cuU7Tt4qLi9G4cWNs2rQJgwYN8mYRiMgA1qxZg3vvvRdffvkl+vbtq3Z2iHRJk6dCbrjhBlitVpw9e9axvkBFffv2RVlZGY4dO+Y41Pzzzz8DUP9iOSLSvuLiYqeLLq1WKxYuXIjg4GDceOONKuaMSN9UCywuXrzodAV2dnY29u/fj+bNm6Nz584YO3YsHnroIbzxxhu44YYbcO7cOWzduhU9evTA0KFDkZCQgBtvvBETJkxAWloabDYbpkyZgkGDBtV5ShkR+Y4nnngCxcXFiIuLQ0lJCSwWC77++mvMnTvXrVkeROSCWudg7OcLKz7s51pLS0vF888/L2JiYkSDBg1ERESEuPfee8X333/veI3c3FyRlJQkgoKCRKtWrURycrLTksVERK58+OGH4sYbbxTBwcEiICBAdO3aVSxcuFDtbBHpniausSAiIiJj0Ow6FkRERKQ/DCyIiIhIGq9fvGmz2fDrr7+iadOmUpb1JSIiIs8TQqCoqAiRkZGV7p1TntcDi19//bXSXRyJiIhIH3Jycqq9oaDXAwv7TZpycnIQHBzs7bcnIiKiOigsLER0dLTTzRar4vXAwn76Izg4mIEFERGRztR0GQMv3iQiIiJpGFgQERGRNAwsiIiISBoGFkRERCQNAwsiIiKShoEFERERScPAgoiIiKRhYEFERETSeH2BLNIxqxXIygLy8oCICCA+HjCb1c4VERFpiHECC+70PMtiAVJSgFOn/tgWFQUsWAAkJamXLyIi0hRjnAqxWICYGGDAAODBB5WfMTHKdqo/iwUYNco5qACA3FxlO+uZrFYgMxP46CPlp9Wqdo6ISCUmIYTw5hsWFhYiJCQEBQUFcu4VYt/pVSyGfS3z9HR+o64Pq1UJ0ioGFXYmk3LkIjubR4h8FY9mGQOP+uqfh9vQ3f23vo9YWK3KB1pVsZF927Rp/PZUH1lZroMKQKnnnBwlHfkeHs0yBh711T8NtaG+Awvu9DwvL09uOjIOBvbGwOBQ/zTWhvoOLLjT87yICLnpyDgY2Osfg0P902Ab6juw4E7P8+LjlfPl9mtWKjKZgOhoJR35Fgb2+sfgUP802Ib6Diy40/M8s1m5CA+oXM/2v9PSeJGXL2Jgr38MDvVPg22o78CCOz3vSEpSZte0aeO8PSqKs258GQN7/WNwqH8abEP9TzcFqp7uFh2tBBXc6cnD6WhUkf2iMcD5HC+ne+uDfTp5bm7V5+g5nVz7vNiG7u6/jRFYANzpEamFgb2+MTjUPy+1oe8FFkSkHgb2+sbgUP+80IYMLIiIyH0MDvVPIytvGucmZEREVHdmM9C/v9q5oPrQSBvWa1bIq6++CpPJhGnTpknKDhEREelZnQOLXbt24b333kOPHj1k5oeIiIh0rE6BxcWLFzF27FgsXrwYzZo1k50nIiIi0qk6BRZTpkzB0KFDkZCQUGPakpISFBYWOj2IiIjImGp98eaKFSuwd+9e7Nq1y630qampePHFF2udMSIiItKfWh2xyMnJQUpKCj788EM0bNjQrf+ZPXs2CgoKHI+cnJw6ZZSIiIi0r1brWKxZswb33nsvzOXmxVqtVphMJvj5+aGkpMTpuapwHQsiIiL98cg6FgMHDsSBAwecto0fPx5dunTBX/7ylxqDCiIiIjK2WgUWTZs2Rbdu3Zy2NWnSBC1atKi0nYiIiHyPvm+bTkRERJpS7yW9MzMzJWSDiIiIjIBHLIiIiEgaBhZEREQkDQMLIiIikoaBBREREUnDwIKIiIikYWBBRERE0jCwICIiImkYWBAREZE0DCyIiIhIGgYWREREJA0DCyIiIpKGgQURERFJw8CCiIiIpGFgQURERNIwsCAiIiJpGFgQERGRNAwsiIiISBoGFkRERCQNAwsiIiKShoEFERERScPAgoiIiKRhYEFERETSMLAgIiIiaRhYEBERkTQMLIiIiEgaBhZEREQkDQMLIiIikoaBBREREUnDwIKIiIikYWBBRERE0jCwICIiImkYWBAREZE0DCyIiIhIGgYWREREJA0DCyIiIpKGgQURERFJw8CCiIiIpGFgQURERNIwsCAiIiJpGFgQERGRNAwsiIiISBp/tTMgjdUKZGUBeXlARAQQHw+YzWrnisg3cPwRqU8j49AYgYXFAqSkAKdO/bEtKgpYsABISlIvX0ajkU5LGsPxR6Q+DY1DkxBCePMNCwsLERISgoKCAgQHB9f/BS0WYNQooGIxTCblZ3o6P9xk0FCnJQ3h+DMOfnHQLy+NQ3f33/oOLKxWICbGeWdXnsmk7PyyszlA6oM7D6oKx59x8IuDfnlxHLq7/9b3xZtZWa4rE1B2hDk5SjqqG6tV+cCpKv60b5s2TUlHvoXjzxjsXxwqtmVurrLdYlEnX+QeDY5DfQcWeXly01FlGuy0pBEcf/rHLw76p8FxqO/AIiJCbjqqTIOdljSC40//+MVB/zQ4DvUdWMTHK+eO7Of6KzKZgOhoJR3VjQY7LWkEx5/+8YuD/mlwHOo7sDCblYuLgMqVav87LY0XjtWHBjstaQTHn/7xi4P+aXAc6juwAJQrltPTgTZtnLdHRXG2ggwa7LSkIRx/+sYvDsagsXGo7+mm5XEOtmdVNR0tOloJKrjzII4//bLPCgGcL+LkdHL98fA49I11LMi7uPMgMiZ+cSA3MLAgIiL38YsD1cDd/bcx7hVCRET1YzYD/furnQsyAP1fvElERESawcCCiIiIpGFgQURERNIwsCAiIiJpGFgQERGRNAwsiIiISBoGFkRERCQNAwsiIiKShoEFERERScPAgoiIiKRhYEFERETSMLAgIiIiaRhYEBERkTQMLIiIiEgaBhZEREQkTa0Ci3feeQc9evRAcHAwgoODERcXh/Xr13sqb0RERKQztQosoqKi8Oqrr2LPnj3YvXs37rjjDgwfPhw//PCDp/JHREREOmISQoj6vEDz5s0xb948PPzww26lLywsREhICAoKChAcHFyftyYiIiIvcXf/7V/XN7BarVi5ciUuXbqEuLg4l+lKSkpQUlLilDEiIiIyplpfvHngwAEEBQUhMDAQjz32GFavXo2uXbu6TJ+amoqQkBDHIzo6ul4ZJiIiIu2q9amQ0tJSnDx5EgUFBUhPT8cHH3yA7du3uwwuqjpiER0dzVMhREREOuLuqZB6X2ORkJCA2NhYvPfee1IzRkRERNrh7v673utY2Gw2pyMSRERE5LtqdfHm7NmzkZiYiLZt26KoqAjLly9HZmYmNm7c6Kn8ERERkY7UKrA4e/YsHnroIeTl5SEkJAQ9evTAxo0bMWjQIE/lj4iIiHSkVoHFv/71L0/lg4iIiAyA9wohIiIiaRhYEBERkTQMLIiIiEgaBhZEREQkDQMLIiIikoaBBREREUnDwIKIiIikYWBBRERE0jCwICIiImkYWBAREZE0DCyIiIhIGgYWREREJA0DCyIiIpKGgQURERFJw8CCiIiIpGFgQURERNIwsCAiIiJpGFgQERGRNAwsiIiISBoGFkRERCQNAwsiIiKShoEFERERSeOvdgaIyACsViArC8jLAyIigPh4wGxWO1dEpAIGFkRUPxYLkJICnDr1x7aoKGDBAiApSb18EZEqeCqEiOrOYgFGjXIOKgAgN1fZbrGoky8iX2S1ApmZwEcfKT+tVlWywcCCiOrGalWOVAhR+Tn7tmnTVPtwI/IpFgsQEwMMGAA8+KDyMyZGleCegQUR1U1WVuUjFeUJAeTkKOmIyHM0duSQ11iQ+3iBHpWXlyc3HamL41ufajpyaDIpRw6HD/daexrniIVGzi0ZloYOs5FGRETITUfq4fjWLw0eOTRGYMFB4VkaO8xGGhEfr8z+MJmqft5kAqKjlXSkXRzf+qbBI4f6Dyw4KDyLF+iRK2azMqUUqBxc2P9OS+PhdC3j+NY/DR451HdgwUHheRo8zEYakpQEpKcDbdo4b4+KUrZzHQtt4/jWPw0eOdR3YMFB4XkaPMxGGpOUBBw/DmRkAMuXKz+zsxlU6AHHt/5p8MihvmeFcFB4ngYPs5EGmc1A//5q54Jqi+PbGOxHDqtaATctzetBvr4DCw4Kz7MfZsvNrfqUk8mkPM8L9Ij0h+PbOJKSlCmlGpgyrO9TIRo8t2Q4GjzMRkSScHwbi/3I4Zgxyk+V2k3fgQUHhXfwAj0i4+L4JslMQlR1/MtzCgsLERISgoKCAgQHB8t50arurhgdrcq5JUPjynxExsXxTTVwd/9tjMAC4KAgIiLyIHf33/q+eLM8XpVORESkOn1fY0FERESawsCCiIiIpGFgQURERNIwsCAiIiJpGFgQERGRNAwsiIiISBoGFkRERCQNAwsiIiKShoEFERERScPAgoiIiKRhYEFERETSMLAgIiIiaRhYEBERkTQMLIiIiEgaBhZEREQkDQMLIiIikoaBBREREUnDwIKIiIikYWBBRERE0jCwICIiImkYWBAREZE0/mpngIiINMBqBbKygLw8ICICiI8HzGa1c0U6ZJzAgoOCiKhuLBYgJQU4deqPbVFRwIIFQFKSevmi2tHIftAYgQUHhXdopNOSBrFv6JfFAowaBQjhvD03V9mens7PUT3Q0H7QJETF3uRZhYWFCAkJQUFBAYKDg+v/gq4Ghcmk/OSgkENDnZY0hn1Dv6xWICbGue3KM5mUtszOZqCoZV7aD7q7/9Z3YMFB4R0M3sgV9g19y8wEBgyoOV1GBtC/v6dzQ3Xhxf2gu/tvfc8KycpyXZmA8mGXk6Oko7qxWpVvo1XFn/Zt06Yp6ci3sG/oX16e3HTkfRrcD+o7sOCg8DwNdlrSCPYN/YuIkJuOvE+D+0F9BxYcFJ6nwU5LGsG+oX/x8cphcvupq4pMJiA6WklH2qTB/aC+AwsOCs/TYKcljWDf0D+zWbnIFqj8OWr/Oy2N16hpmQb3g7UKLFJTU3HzzTejadOmCA8Px4gRI3D48GFP5a1mHBSep8FOSxrBvmEMSUnKRbZt2jhvj4rixbd6oMH9YK0Ci+3bt2PKlCnYuXMnNm/ejKtXr+LOO+/EpUuXPJW/mnFQeJYGOy1pBPuGcSQlAcePK7M/li9XfmZn8/NTLzS2H6zXdNNz584hPDwc27dvR79+/apMU1JSgpKSEsffhYWFiI6OlreOhR0X6PGsqtYqiI5Wdhz88PFt7BtE2uDh/aBX1rE4evQoOnXqhAMHDqBbt25VpnnhhRfw4osvVtouPbAgz2PwRq6wbxAZnscDC5vNhnvuuQf5+fn48ssvXabz2hELIiIi8hh3A4s63ytkypQpOHjwYLVBBQAEBgYiMDCwrm9DREREOlKnwGLq1KlYt24dvvjiC0RFRcnOExEREelUrQILIQSeeOIJrF69GpmZmWjfvr2n8kVEREQ6VKvAYsqUKVi+fDnWrl2Lpk2b4vTp0wCAkJAQNGrUyCMZJCIiIv2o1cWbJhcL4SxZsgTJycluvYb026YTERGRx3nk4k0v32GdiIiIdEbf9wohIiIiTWFgQURERNIwsCAiIiJpGFgQERGRNAwsiIiISBoGFkRERCQNAwsiIiKShoEFERERScPAgoiIiKRhYEFERETSMLAgIiIiaRhYEBERkTS1ugmZplmtQFYWkJcHREQA8fGA2ax2roiIiHyKMQILiwVISQFOnfpjW1QUsGABkJSkXr6MhsEbkXFxfOufRtpQ/4GFxQKMGgVUvKV7bq6yPT2dwYUMDN6oOqWlwKJFwLFjQGwsMHkyEBCgdq7IXRzf+qehNjQJUXGP7FmFhYUICQlBQUEBgoOD6/diVisQE+NckRVFRwPZ2Yy868NiAUaOdP38qlX88PFlM2cCb76pjEc7sxmYPh14/XX18kXu4fjWPy+1obv7b30HFpmZwIABNafLyAD696/fe/kqqxVo1Qo4f951mhYtgDNnGLz5opkzgXnzXD8/YwaDCy3j+NY/L7ahu/tvfc8Kyc2Vm44qy8ysvsMCyvOZmd7IDWlJaalypKI6b76ppCNt4vjWPw22ob4Di3Pn5KajytztjPzg8T2LFjmf/qiK1aqkI23i+NY/DbahvgOLli3lpiMi9x07JjcdERmCvgOLNm3kpqPK3L02hdew+J7YWLnpyPs4vvVPg22o74s3OSvE83hxF7lSWgo0blz96RCzGbh8mVNPtYrjW/948aZkZrMyR9dkqvp5kwlIS+OAqA+zGXj//erTvP8+69gXBQQoU0qrM306gwot4/jWPw22ob4DC0CZm5ueriwEUl50NBfHkiUpSZkHXfGUUlQU57j7utdfV6aUVvzQMps51VQvOL71T2NtqO9TIeVpZClTQ2MdkytceVP/OL71z8Nt6BsLZBEREZFX+MY1FkRERKQpDCyIiIhIGgYWREREJA0DCyIiIpKGgQURERFJw8CCiIiIpGFgQURERNIwsCAiIiJpGFgQERGRNAwsiIiISBoGFkRERCQNAwsiIiKShoEFERERScPAgoiIiKRhYEFERETSMLAgIiIiaRhYEBERkTQMLIiIiEgaBhZEREQkDQMLIiIikoaBBREREUnjr3YGiIiISAKrFcjKAvLygIgIID4eMJu9ng3jBBYaqVBDYx2TK+wb+sc21DeLBUhJAU6d+mNbVBSwYAGQlOTdvAgvKygoEABEQUGBvBddtUqIqCghgD8eUVHKdpKDdUyusG/oH9tQ31atEsJkcm4/QNlmMklrR3f33yYhhPBmIFNYWIiQkBAUFBQgODi4/i9osQCjRinVWJ7JpPxMT/d+tGY0rGNyhX1D/9iG+ma1AjExzkcqyjOZlCMX2dn1PgLl7v5b34GFFyvUZ7GOyRX2Df1jG+pfZiYwYEDN6TIygP796/VW7u6/9T0rJCvL9YAAlAg8J0dJR3XDOiZX2Df0j22of3l5ctNJoO/AQoMVajisY3KFfUP/2Ib6FxEhN50E+g4sNFihhsM6JlfYN/SPbah/8fHK6Sr7NTEVmUxAdLSSzkv0HVhosEINh3VMrrBv6B/bUP/MZmVKKVC5He1/p6V59RoZfQcWGqxQw2EdkyvsG/rHNjSGpCRl9k6bNs7bo6JUmdWj78AC0FyFGhLrmFxh39A/tqExJCUBx48rsz+WL1d+Zmer0n76nm5aHleN8zzWMbnCvqF/bEOqgW+sY0FERERe4RvrWBAREZGmMLAgIiIiaRhYEBERkTQMLIiIiEgaf7UzQDrCq8aJiKgGxgksuNPzLIsFSElxvmFRVJSyuA7nuRPHn/6xDfVPK20ovKygoEAAEAUFBfJedNUqIaKihFDuxac8oqKU7VR/q1YJYTI51y+gbDOZWM++juNP/9iG+ueFNnR3/63/dSwsFmDUKKUay7MvR8uV4+rHagViYlzfWtlkUo5cZGfz240v4vjTP7ah/nmpDX1jgSzu9DwvMxMYMKDmdBkZQP/+ns4NaQnHn/6xDfXPi23osQWyvvjiCwwbNgyRkZEwmUxYs2ZNffJZP1lZrisTUKK3nBwlHdVNXp7cdGQcHH/6xzbUPw22Ya0Di0uXLqFnz554++23PZGf2uFOz/MiIuSmI+Pg+NM/tqH+abANaz0rJDExEYmJiZ7IS+1xp+d58fHKYbTc3Mrn74A/DrPFx3s/b6Qujj/9Yxvqnwbb0OMLZJWUlKCwsNDpIY19p2e/QKUikwmIjuZOrz7MZmVKKVC5nu1/p6Xx/Ksv4vjTP7ah/mmwDT0eWKSmpiIkJMTxiI6Olvfi3Ol5R1KSclVxmzbO26OieMW4L+P40z+2of5psA09HljMnj0bBQUFjkdOTo7cN+BOzzuSkoDjx5XZH8uXKz+zs1m/vo7jT//YhvqnsTas13RTk8mE1atXY8SIEW7/j/R1LOy0suIYkS/i+NM/tqH+ebgN3d1/G2dJb7OZ6ygQqYXjT//YhvqnkTasdWBx8eJFHD161PF3dnY29u/fj+bNm6Nt27ZSM0dERET6UuvAYvfu3RhQbiXG6dOnAwDGjRuHpUuXSssYEekID6MT0f+pdWDRv39/eHkVcNIK7jyoKrzzrTFwfOufRtrQONdYlJYCixYBx44BsbHA5MlAQIDauTIO7jyoKq5ufpSbq2znrAJ94PjWPw21ob5vQmY3cybw5ptKtGZnNgPTpwOvvy7nPXwZ735IVeENrIyB41v/eHdTyYHFzJnAvHmun58xg8FFfdS08wCUVd248/A9vPOt/nF8658X29BjdzfVlNJS4I03qk/zxhtKOqqbmu6cB/Duh75Kgzc/olri+NY/DbahvgOLhQsBm636NDabko7qxt2VUmWvqEraFxYmNx15H8e3/mmwDfUdWHz5pdx0VNk338hNR8Zx4IDcdOR9HN/6p8E21HdgERQkNx1V5u4lOJyC7Huys+WmI+/j+NY/DbahvgOLP/9ZbjqqrFMnuenIOGJj5aYj7+P41j8NtqG+Z4VYrUBoKHDxous0QUFAfj6vaK6r0lKgcWPnqbwVmc3A5ctcN8TXsG/oH9tQ/7zYhr4xK8RsBpYtqz7NsmUMKuojIEBZD6Q606fzQ8cXsW/oH9tQ/zTYhvoOLABl0Y9Vq4DISOftbdoo27mwS/29/rqyHkjFAM1s5johvo59Q//YhvqnsTbU96mQ8jSyRrqhcdl0coV9Q//Yhvrn4Tb0nZU3iYiIyON84xoLIiIi0hQGFkRERCQNAwsiIiKShoEFERERSeOvdgaIyAA4K4uI/o9xAgt+sHke65iqYrEAKSnOt26OigIWLOA6MnrC8a1/WmlD4WUFBQUCgCgoKJD3oqtWCREVJYRymxXlERWlbCc5WMdUlVWrhDCZnPsFoGwzmdg/9ILjW/+80Ibu7r/1v46FxQKMGlX5zm0mk/IzPZ3fmuqLdUxVsVqBmBjnIxXlmUzKkYvsbH7z1TKOb/3zUhv6xgJZ/GDzPNYxuZKZCQwYUHO6jAygf39P54bqguNb/7zYhr6xQFZWluvKBJToLSdHSUd1wzomV/Ly5KYj7+P41j8NtqG+Awt+sHke65hciYiQm468j+Nb/zTYhvoOLPjB5nmsY3IlPl45xGo/j1uRyQRERyvpSJs4vvVPg22o78CCH2yexzomV8xmZUopULl/2P9OS+O5eS3j+NY/DbahvgMLfrB5HuuYqpOUpFxx3qaN8/aoKM4m0AOOb/3TYBvqO7AA+MHmDaxjqk5SEnD8uDL7Y/ly5Wd2NvuFXnB865/G2lDf003L08qKY0bGOiYyLo5v/fNwG/rGOhZEGiAEsGgRsGOH2jkhGa67Dpg1y/UpayJf5e7+2zj3CiFSydy5wHPPqZ0Lkun224Fbb1U7F0T6xMCCqB5WrfojqEhJAdq1Uzc/VD/p6cDXXwOffsrAgnRII6ezGFgQ1dHevcCf/6z8npKiXHhN+taq1R+BRWqq2rkhqgUN3WVY/7NCiFSQlwfccw9QXAzcdRcwf77aOSIZEhOVL3g//KBMbCHSBftNyCou7Z2bq2y3WLyaHeMEFlarclOkjz5SflqtaufIeEpLla/lTzyh/CwtVTtHqiguBoYPV8bstdcCK1YA/r5+7M8gfaNZM+C225Tf161TNy9eZ5A29DlWq3Kkoqp5GPZt06Z5d58o7UbtbnL3fu614oX70Pu8GTOEMJud69hsVrb7EJtNiAceUIrfvLkQR4+qnSMNMFjfmDdPKcKgQWrnxIsM1oY+JSPDud1cPTIy6v1W7u6/9X/EwmIBRo6sfAjo1Cllu5cPARnSzJnAvHmVI16rVdk+c6Y6+VLByy//cYTCYgFiY9XOkcoM2DeGDVN+ZmYCRUWqZsU7DNiGPkWDNyHT9zoWVqtytdX5867TtGgBnDnDhV7qqrQUaNy4+sNoZjNw+TIQEOC9fKlg5Upg9Gjl98WLgUceUTc/qjNw3+jcGThyRJklMnKk2rnxIAO3oc/YuhVISKg53ZYtwMCB9Xord/ff+j5ikZlZfVABKM9nZnojN8a0aFHN5+asViWdge3ZA4wbp/z+1FMMKgAYum/cfbfy89NP1c2Hxxm4DX2Gu4fVvHj4Tf+Bhcx0VNmxY3LT6dCvv/4xAyQxUTk6TDB037CfDvn8c4NfB27gNvQZTzwhN50E+g4syPPcvYjAoBcbXL6szAD59Vega1dl0hHPqv0fA/eN224DQkKAc+eAb79VOzceZOA29BkFBXLTSaDvayzKnVvqge9wBq2qThfaTNPnByMjgW7dlMd11yk/27YF/LQQ9vnwOVghgAceAP73P+VSnW+/BTp0UDtXGmLwvvHAA8DHHwOzZyvLthuSwdvQJ3Trpiy8UpPrrgMOHqzXW/nGvUL691c+8c+fx28Iw1lXgUW+NzNVe2fPAvv3O28LClK+IVcMOCIivHxzpIAAYPr06o//T59uyA+dl15SgooGDZQZIAwqKjB43xg2TAks1q0zcGBh8Db0CV98oewH3UnnJfo+YgE4ppv+hGtQVlWc9I80966YVYnNBhw/rgSSBw8qgeehQ8DVq1WnDwxU6UjG1VKgrKzydn9/oIExP3SKi5WfH3wAPPywunnRtJkzgTffdP7WazYrO6TXX1cvX/V04QLQsuUfY9TQ94ExaBv6jNDQ6k91hIQA+fn1fhvfum26xQI8+aSyFKKdSmuky3D1KnD0qHOwcfCgMv3NZlM7d77DZFJun23Yb6sylZYqMweOHVPOx0+ebIhvuf36Kfd0WrgQmDpV7dx4mEHb0PCsViAmpvJaTuVFRytr1NfzAjHfCiwAzdzVzZOuXAFOn1Y7F76jcWMgPFztXJCa7OtDDR4MbNigdm6IqpCZCQwYUHO6jAzl8oF68I1rLMozm+tdaVrXsKESmBKRdwwbpgQWGRnKMgBNm6qdI6IKajNl2Ev7SC3MOyAi0qRrrlHOCpSWAps3q50boiqkpclNJ4FxAgve3dTzWMfkikH7hsn0x2JZhr/bqUHb0PDcvShTwsWb7jJGYGGxKOcIBgwAHnxQ+RkTwxuQycQ6JlcM3jfsgcVnnxn44mmDt6GhuTtdyYvTmvR/8abFAowaVfle9PbFHtLTdTkzRFNYx+SKD/SN0lJl2mlhIbBjB3DLLWrnSDIfaENDKyhQppvWJD9fmXZaD75xEzKrFUhJqTwggD+2TZvGQ3r1wTomV3ykbwQEAHfdpfxuuNMhPtKGhtaokdx0Eug7sMjKqn7urhBATo6SjuqGdUyu+FDfMOzdTn2oDQ1rwQK56STQd2CRlyc3HVXGOiZXfKhvDBmirHj7/ffAiRNq50YiH2pDw1q5Um46CfQdWLi7ehFXOao71jG54kN9o0UL4NZbld8/+0zdvEjlQ21oWN99JzedBPoOLNy9RNuwl3J7AeuYXPGxvmHI0yE+1oaGVFoqN50E+g4s3L1bmxfv6mY4rGNyxcf6hn3a6bZtwMWL6uZFGh9rQ/IOfQcWRERecu21QIcOyhe/LVvUzg2Rduk7sHB33XOD30PEo1jH5IqP9Q2TyYCnQ3ysDQ2pcWO56STQ9wJZpaXK3Nzqzv/5+QHFxbz9b12xjskVH+wbW7YAgwYBrVoBv/6qFE/XfLANDadBA6CsrOZ0/v7A1av1eivfWCDr669rvqjIZlPSUd2wjskVH+wb/fopdzg9cwbYvVvt3Ejgg21oOO4EFbVJJ4G+A4ucHLnpqDLWMbnig30jIAAYPFj53RCnQ3ywDcnz9B1YfPON3HRUGeuYXPHRvmGfHWKIwMJH25A8S9+BhQbn7xoO65hc8dG+MWSIciHnd98Z4Iu8j7YheZa+A4sff5SbjipjHZMrPto3wsKAuDjld93flMxH25A8S9+BRWCg3HRUGeuYXPHhvmGY0yE+3IbkOfoOLIqL5aajyljH5IoP943yq3BeuqRuXurFh9uQPMdf7QzUS0iI3HRUGeuYXPHhvtG1KxATAxw/DkyeDERHq52jOjrzBIAhbqSLBZ7zeG6k8vMDGjZUlulo1Mj59/IP+3azWe0c100LNEEQtBXd6juwOHBAbjqqjHVMrvhw3zCZgOHDgQULgP/8R+3c1McY95L9AuAVj2aE6ugD3I+H8W+1s+FE34GFu6uI1XO1MZ/GOiZXfLxv/PWvyjddXZ8KWbwYuOLGaY6GjYCJEz2fH4msVuDKFeUsjv2n/VHx7+JiwLtrUMtjLraqnYVK6rSk99tvv4158+bh9OnT6NmzJxYuXIjevXu79b9Sl/Ru0gS4fLnmdI0b63z0q4h1TK6wb+ifn597e1STibdO1yqTyf209YyePLak98cff4zp06djzpw52Lt3L3r27InBgwfj7Nmz9cpwnbjzoVabdFQZ65hcYd/QP3d3NHr9Ok+qqHVg8eabb2LixIkYP348unbtinfffReNGzfGv/+trXM8RERE5H21CixKS0uxZ88eJCQk/PECfn5ISEjAjh07qvyfkpISFBYWOj2IiIjImGoVWPz222+wWq1o1aqV0/ZWrVrh9OnTVf5PamoqQkJCHI9o3c7LIiIiopp4fIGs2bNno6CgwPHIkbm4/ooVctNRZaxjcoV9g4iqUKtZIaWlpWjcuDHS09MxYsQIx/Zx48YhPz8fa9eurfE1pM4KAdy7IpYXHtUP65hcYd/QP7ah/nmpDT0yKyQgIAC9evXC1q1bHdtsNhu2bt2KOPtdebytpsrigKg/1jG5wr6hf2xD/dNYG9b6VMj06dOxePFiLFu2DIcOHcLjjz+OS5cuYfz48Z7In3uEqHy4dcUKDgiZWMfkCvuG/rlqK7ahfmioDeu0QNZbb73lWCDr+uuvxz//+U/06dPHrf+VfiqEiIiIPM7d/XedAov6YGBBRESkPx5beZOIiIjIFQYWREREJA0DCyIiIpKGgQURERFJw8CCiIiIpGFgQURERNIwsCAiIiJpGFgQERGRNP7efkP7elyFhYXefmsiIiKqI/t+u6Z1Nb0eWBQVFQEAoqOjvf3WREREVE9FRUUICQlx+bzXl/S22Wz49ddf0bRpU5jcudWrmwoLCxEdHY2cnBzDLhXOMhoDy2gcvlBOltEYZJRRCIGioiJERkbCz8/1lRReP2Lh5+eHqKgoj71+cHCwYTuGHctoDCyjcfhCOVlGY6hvGas7UmHHizeJiIhIGgYWREREJI1hAovAwEDMmTMHgYGBamfFY1hGY2AZjcMXyskyGoM3y+j1izeJiIjIuAxzxIKIiIjUx8CCiIiIpGFgQURERNIwsCAiIiJpGFgQERGRNIYJLN5++23ExMSgYcOG6NOnD7799lu1s1RnL7zwAkwmk9OjS5cujuevXLmCKVOmoEWLFggKCsLIkSNx5swZFXNcsy+++ALDhg1DZGQkTCYT1qxZ4/S8EALPP/88IiIi0KhRIyQkJODIkSNOaS5cuICxY8ciODgYoaGhePjhh3Hx4kUvlqJ6NZUxOTm5UrveddddTmm0XMbU1FTcfPPNaNq0KcLDwzFixAgcPnzYKY07ffPkyZMYOnQoGjdujPDwcMyYMQNlZWXeLIpL7pSxf//+ldrxsccec0qj5TICwDvvvIMePXo4VmGMi4vD+vXrHc/rvR2BmstohHYs79VXX4XJZMK0adMc21RrR2EAK1asEAEBAeLf//63+OGHH8TEiRNFaGioOHPmjNpZq5M5c+aI6667TuTl5Tke586dczz/2GOPiejoaLF161axe/duccstt4hbb71VxRzX7PPPPxfPPvussFgsAoBYvXq10/OvvvqqCAkJEWvWrBHfffeduOeee0T79u1FcXGxI81dd90levbsKXbu3CmysrJEx44dxZgxY7xcEtdqKuO4cePEXXfd5dSuFy5ccEqj5TIOHjxYLFmyRBw8eFDs379fDBkyRLRt21ZcvHjRkaamvllWVia6desmEhISxL59+8Tnn38uwsLCxOzZs9UoUiXulPH2228XEydOdGrHgoICx/NaL6MQQnzyySfis88+Ez///LM4fPiw+Otf/yoaNGggDh48KITQfzsKUXMZjdCOdt9++62IiYkRPXr0ECkpKY7tarWjIQKL3r17iylTpjj+tlqtIjIyUqSmpqqYq7qbM2eO6NmzZ5XP5efniwYNGoiVK1c6th06dEgAEDt27PBSDuun4k7XZrOJ1q1bi3nz5jm25efni8DAQPHRRx8JIYT48ccfBQCxa9cuR5r169cLk8kkcnNzvZZ3d7kKLIYPH+7yf/RWxrNnzwoAYvv27UII9/rm559/Lvz8/MTp06cdad555x0RHBwsSkpKvFsAN1QsoxDKDqn8h3dFeiujXbNmzcQHH3xgyHa0s5dRCOO0Y1FRkejUqZPYvHmzU5nUbEfdnwopLS3Fnj17kJCQ4Njm5+eHhIQE7NixQ8Wc1c+RI0cQGRmJDh06YOzYsTh58iQAYM+ePbh69apTebt06YK2bdvqtrzZ2dk4ffq0U5lCQkLQp08fR5l27NiB0NBQ3HTTTY40CQkJ8PPzwzfffOP1PNdVZmYmwsPDcc011+Dxxx/H+fPnHc/prYwFBQUAgObNmwNwr2/u2LED3bt3R6tWrRxpBg8ejMLCQvzwww9ezL17KpbR7sMPP0RYWBi6deuG2bNn4/Lly47n9FZGq9WKFStW4NKlS4iLizNkO1Yso50R2nHKlCkYOnSoU3sB6o5Hr9/dVLbffvsNVqvVqWIAoFWrVvjpp59UylX99OnTB0uXLsU111yDvLw8vPjii4iPj8fBgwdx+vRpBAQEIDQ01Ol/WrVqhdOnT6uT4Xqy57uqNrQ/d/r0aYSHhzs97+/vj+bNm+um3HfddReSkpLQvn17HDt2DH/961+RmJiIHTt2wGw266qMNpsN06ZNQ9++fdGtWzcAcKtvnj59usp2tj+nJVWVEQAefPBBtGvXDpGRkfj+++/xl7/8BYcPH4bFYgGgnzIeOHAAcXFxuHLlCoKCgrB69Wp07doV+/fvN0w7uiojYIx2XLFiBfbu3Ytdu3ZVek7N8aj7wMKIEhMTHb/36NEDffr0Qbt27fC///0PjRo1UjFnVB8PPPCA4/fu3bujR48eiI2NRWZmJgYOHKhizmpvypQpOHjwIL788ku1s+Ixrsr46KOPOn7v3r07IiIiMHDgQBw7dgyxsbHezmadXXPNNdi/fz8KCgqQnp6OcePGYfv27WpnSypXZezatavu2zEnJwcpKSnYvHkzGjZsqHZ2nOj+VEhYWBjMZnOlK13PnDmD1q1bq5QruUJDQ9G5c2ccPXoUrVu3RmlpKfLz853S6Lm89nxX14atW7fG2bNnnZ4vKyvDhQsXdFvuDh06ICwsDEePHgWgnzJOnToV69atQ0ZGBqKiohzb3embrVu3rrKd7c9phasyVqVPnz4A4NSOeihjQEAAOnbsiF69eiE1NRU9e/bEggULDNWOrspYFb214549e3D27FnceOON8Pf3h7+/P7Zv345//vOf8Pf3R6tWrVRrR90HFgEBAejVqxe2bt3q2Gaz2bB161anc2l6dvHiRRw7dgwRERHo1asXGjRo4FTew4cP4+TJk7otb/v27dG6dWunMhUWFuKbb75xlCkuLg75+fnYs2ePI822bdtgs9kcHwh6c+rUKZw/fx4REREAtF9GIQSmTp2K1atXY9u2bWjfvr3T8+70zbi4OBw4cMApgNq8eTOCg4Mdh6jVVFMZq7J//34AcGpHLZfRFZvNhpKSEkO0oyv2MlZFb+04cOBAHDhwAPv373c8brrpJowdO9bxu2rtWOfLPjVkxYoVIjAwUCxdulT8+OOP4tFHHxWhoaFOV7rqydNPPy0yMzNFdna2+Oqrr0RCQoIICwsTZ8+eFUIoU4jatm0rtm3bJnbv3i3i4uJEXFycyrmuXlFRkdi3b5/Yt2+fACDefPNNsW/fPnHixAkhhDLdNDQ0VKxdu1Z8//33Yvjw4VVON73hhhvEN998I7788kvRqVMnzUzFFKL6MhYVFYlnnnlG7NixQ2RnZ4stW7aIG2+8UXTq1ElcuXLF8RpaLuPjjz8uQkJCRGZmptMUvcuXLzvS1NQ37dPb7rzzTrF//36xYcMG0bJlS81M4aupjEePHhUvvfSS2L17t8jOzhZr164VHTp0EP369XO8htbLKIQQs2bNEtu3bxfZ2dni+++/F7NmzRImk0ls2rRJCKH/dhSi+jIapR0rqjjTRa12NERgIYQQCxcuFG3bthUBAQGid+/eYufOnWpnqc7uv/9+ERERIQICAkSbNm3E/fffL44ePep4vri4WEyePFk0a9ZMNG7cWNx7770iLy9PxRzXLCMjQwCo9Bg3bpwQQply+re//U20atVKBAYGioEDB4rDhw87vcb58+fFmDFjRFBQkAgODhbjx48XRUVFKpSmatWV8fLly+LOO+8ULVu2FA0aNBDt2rUTEydOrBT8armMVZUNgFiyZIkjjTt98/jx4yIxMVE0atRIhIWFiaefflpcvXrVy6WpWk1lPHnypOjXr59o3ry5CAwMFB07dhQzZsxwWv9ACG2XUQghJkyYINq1aycCAgJEy5YtxcCBAx1BhRD6b0chqi+jUdqxooqBhVrtaBJCiLof7yAiIiL6g+6vsSAiIiLtYGBBRERE0jCwICIiImkYWBAREZE0DCyIiIhIGgYWREREJA0DCyIiIpKGgQURERFJw8CCiIiIpGFgQURERNIwsCAiIiJp/j/hp9c1Vq0s6AAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Random Forest\n",
"#predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"predictors = ['load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"regressor = RandomForestRegressor(n_estimators = 10, random_state = 0)\n",
"regressor.fit(train_X, train_y)\n",
"\n",
"X_grid = np.arange(0, 400, 10)\n",
"X_grid = X_grid.reshape((len(X_grid),1))\n",
"plt.scatter(X, overall_y, color = 'red')\n",
"plt.plot(X_grid, regressor.predict(X_grid), color = 'blue')\n",
"plt.title('Random Forest Regression')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Gradient Boosting Classifier"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The mean squared error (MSE) on test set: 359835092.9070\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 600x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"params = {\n",
" \"n_estimators\": 500,\n",
" \"max_depth\": 4,\n",
" \"min_samples_split\": 5,\n",
" \"learning_rate\": 0.01,\n",
" \"loss\": \"squared_error\",\n",
"}\n",
"\n",
"reg = GradientBoostingRegressor(**params)\n",
"reg.fit(train_X, train_y)\n",
"\n",
"mse = mean_squared_error(valid_y, reg.predict(valid_X))\n",
"print(\"The mean squared error (MSE) on test set: {:.4f}\".format(mse))\n",
"\n",
"\n",
"test_score = np.zeros((params[\"n_estimators\"],), dtype=np.float64)\n",
"for i, y_pred in enumerate(reg.staged_predict(valid_X)):\n",
" test_score[i] = mean_squared_error(valid_y, y_pred)\n",
"\n",
"fig = plt.figure(figsize=(6, 6))\n",
"plt.subplot(1, 1, 1)\n",
"plt.title(\"Deviance\")\n",
"plt.plot(\n",
" np.arange(params[\"n_estimators\"]) + 1,\n",
" reg.train_score_,\n",
" \"b-\",\n",
" label=\"Training Set Deviance\",\n",
")\n",
"plt.plot(\n",
" np.arange(params[\"n_estimators\"]) + 1, test_score, \"r-\", label=\"Test Set Deviance\"\n",
")\n",
"plt.legend(loc=\"upper right\")\n",
"plt.xlabel(\"Boosting Iterations\")\n",
"plt.ylabel(\"Deviance\")\n",
"fig.tight_layout()\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Polynomial Regressionwhat is considered high VIF"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x6fd6c48aed70>]"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"plt_mean_squared_error = []\n",
"deg_range = range(1,21)\n",
"for degree in deg_range:\n",
" poly = PolynomialFeatures(degree = degree)\n",
" X_poly = poly.fit_transform(train_X)\n",
" poly.fit(X_poly, train_y)\n",
"\n",
" regression_model = LinearRegression()\n",
" regression_model.fit(X_poly, train_y)\n",
" y_pred = regression_model.predict(X_poly)\n",
" plt_mean_squared_error.append(mean_squared_error(train_y, y_pred, squared=False))\n",
"\n",
"\n",
"plt.scatter(deg_range,plt_mean_squared_error, color=\"green\")\n",
"plt.plot(deg_range,plt_mean_squared_error, color=\"red\")"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## SVR"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"439524.8341302504"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# SVR\n",
"predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = timing_df[predictors]\n",
"overall_y = timing_df[overall_outcome]\n",
"train_X, valid_X, train_y, valid_y = train_test_split(X, overall_y, test_size=0.4, random_state=1)\n",
"\n",
"param_grid = {'C': [0.1,1, 10, 100, 1000], 'gamma': [1,0.1,0.01,0.001,0.0001], 'kernel': ['rbf']}\n",
"grid = GridSearchCV(SVR(),param_grid,refit=True,verbose=0)\n",
"grid.fit(train_X,train_y)\n",
"\n",
"grid_predictions = grid.predict(valid_X)\n",
"\n",
"mean_squared_error(valid_y, grid_predictions, squared=False)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.10"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}
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