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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"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": 5,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_77112/509936392.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_77112/509936392.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_77112/509936392.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_77112/509936392.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_77112/509936392.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": 6,
"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": 7,
"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": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_77112/3831858898.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_77112/3831858898.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_77112/3831858898.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_77112/3831858898.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_77112/3831858898.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": 8,
"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": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot: >"
]
},
"execution_count": 9,
"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": 10,
"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": 11,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_77112/1772356950.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": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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trS2qVasmtTt79iySkpIwatQohTFA/v7+KFeuXIHH9y6qHE/58uVx7949/PPPP2pt+7fffoOtrS0GDRoklRkaGmL8+PF4/vw5/vzzzyLFrq+vjwEDBkg985s3b4ajoyNat25d4Hpubm6wsrKCi4sLRo4ciapVq2L//v0wNTUtUjxve/P9++zZMzx+/BitW7dGRkYGrl+/DgDS7y8yMlJpmMPbhBAYO3Ysli1bhp9++kmtXpW8vr/e/Ns4ePAgDA0N8emnn0plenp6GDNmjMr7KAoOKC4EKysrdOzYEREREcjIyEBOTg769eun9nbe/BIAAEtLSwCvP3QtLCzUWjf3De3o6KhUnpycrHZsuYyNjZW6c8uVKwcHBwel8SJF3Veubt26wdzcHNu2bcPFixfRpEkTVK1aNc9r5nK5HMuWLcOqVasQGxurcM03ry7h7777Dnv37sXFixcREREBa2trlWLK73jzOt8AinQe1PndFmVf+/btw9y5c3Hx4kWFcRt53d3xdkzA6/dr7r4fPXqEzMxMVKtWTamdm5sbfvvtN7ViU+c9EBMTg8uXL+d72SEpKUn6WZPHXBA7OzusXr0aq1atQkxMDCIjI7FgwQLMmDEDdnZ2Cv8w2Nvbo2zZsgrrV69eHcDrMQ/NmzdHTEwMrl279s5jjImJgRAiz98DAOnSSnx8PAAotTM0NMRHH330zuMriCrH8+WXX+KPP/5A06ZNUbVqVXTu3BmDBw9Gy5YtC9x2fHw8qlWrpnQHac2aNRWOqygGDx6M77//HpcuXUJERAQGDhz4zjuedu7cCQsLCxgaGsLBwUEhKdakK1euYPr06Thy5IjSP8G542lcXFwQGBiIxYsXY/PmzWjdujV69uyJoUOHKiWuP/74I54/f47Vq1crJIzvktf3wtt/G/Hx8bCzs1NK8KpWraryfoqCyU0hDR48GJ9++ikSExPRtWtXlC9fXu1t6Ovr51n+9n926qybV/mb28vvj/TtgWCF2c/b+yosIyMj9OnTB5s2bcLt27cLnABx3rx5+OabbzBs2DDMmTMHFSpUgJ6eHiZOnKg0mBQALly4IH0RREdHq/wHXZTzUBrP+bFjx9CzZ0+0adMGq1atgp2dHQwNDbFx48Y8B3UW5+87L+q8B+RyOTp16oSpU6fmWZ/7xaqNY5bJZKhevTqqV68Ob29vVKtWDZs3b1ZIblQhl8tRt25dLF68OM/63MRXLpdDJpPhwIEDecZfmFvQ1X3/qqJmzZq4ceMG9u3bh4MHD2Lnzp1YtWoVZsyYofK4w+LSrFkzuLq6YuLEiYiNjVWpV75NmzYKt2sXh5SUFHh6esLCwgKzZ8+Gq6srjI2Ncf78eXz55ZcKn3ehoaHw9/fH3r178fvvv2P8+PEICQnB6dOn4eDgILVr2bIlLl68iBUrVmDAgAGoUKGCSrHk97dRmjC5KaTevXtj5MiROH36NLZt26btcFSW2zv09sAyTfzHo0mDBw/Ghg0boKenV+BA7Z9//hnt2rXDDz/8oFCekpKi9GGTnp6OgIAA1KpVCy1atMDChQvRu3dvNGnSpFiOIZelpWWeA/m0ec537twJY2NjREZGKkw3sHHjxkJtz8rKCiYmJoiJiVGqu3HjRqG2qep7wNXVFc+fP893ArZcmj5mdX300UewtLREQkKCQvmDBw+Qnp6u0Nvx33//AYB0edLV1RWXLl1Chw4dCuxFcHV1hRACLi4uUlKXFycnJwCve3pyL20BwMuXLxEbG4v69etLZep+ZqhyPABQtmxZfPzxx/j444+RnZ2NPn364Ntvv0VQUFC+tx87OTnh8uXLkMvlCr03uZdkco+rqAYNGoS5c+eiZs2aaNCggUa2WVRRUVF48uQJdu3ahTZt2kjl+d3EUbduXdStWxfTp0/HyZMn0bJlS6xZswZz586V2lStWhULFy5E27Zt0aVLFxw+fFjh0ndRODk54ejRo8jIyFDovbl586ZGtv8uHHNTSGZmZli9ejVmzpyJHj16aDsclTk5OUFfX19hHAIArFq1SksR5a1du3aYM2cOVqxYoTSh1pv09fWV/pPesWMH7t+/r9T2yy+/xJ07d7Bp0yYsXrwYzs7O8PPzy/NWWk1ydXVFamoqLl++LJUlJCSofReRJunr60Mmkyn89x0XF4c9e/YUenteXl7Ys2cP7ty5I5Vfu3YNkZGRhdqmqu+BAQMG4NSpU3nuJyUlBa9evZJi1OQx5+fMmTNIT09XKv/777/x5MkTuLm5KZS/evVKYexXdnY21q5dCysrK7i7uwN4fYz379/H+vXrlbabmZkp7a9Pnz7Q19fHrFmzlP4uhBDSnV6NGzeGlZUV1qxZg+zsbKlNWFiYUhKTe4nlzc+MnJwchTtj1D2et+84K1OmDGrVqgUhBF6+fJnndoHXlysTExMV/qF89eoVli9fDjMzM3h6eua7rjpGjBiB4OBghIaGamR7mpDbW/Lm7zU7O1vpszstLU16z+eqW7cu9PT08vysq1evHn777Tdcu3YNPXr0yHN28MLw8vLCy5cvFd6zcrlcmkqkuLHnpghK7JY2DSpXrhz69++P5cuXQyaTwdXVFfv27VMYl6BJuf+pqTsfi56eHqZPn/7Odt27d8fs2bMREBCAFi1aIDo6Gps3b1YaN3DkyBGsWrUKwcHB0u3EGzduRNu2bfHNN99g4cKFasWnjoEDB+LLL79E7969MX78eGRkZGD16tWoXr16ngNZiyIqKgrt2rVDcHBwgZdyvL29sXjxYnTp0gWDBw9GUlISVq5ciapVqyokYeqYNWsWDh48iNatW2P06NHSl07t2rULtU1V3wNTpkzBL7/8gu7du8Pf3x/u7u5IT09HdHQ0fv75Z8TFxaFSpUrFcsx5CQ8Px+bNm9G7d2+4u7ujTJkyuHbtGjZs2ABjY2N89dVXCu3t7e2xYMECxMXFoXr16tI4o3Xr1kljZD755BNs374do0aNwtGjR9GyZUvk5OTg+vXr2L59OyIjI9G4cWO4urpi7ty5CAoKQlxcHHx8fGBubo7Y2Fjs3r0bn332GSZPngxDQ0PMnTsXI0eORPv27fHxxx8jNjYWGzduVPrbqV27Npo3b46goCA8ffoUFSpUwNatW5W+QNU5ns6dO8PW1hYtW7aEjY0Nrl27hhUrVsDb27vAnoPPPvsMa9euhb+/P86dOwdnZ2f8/PPPOHHiBJYuXarRXofCPg+wuLRo0QKWlpbw8/PD+PHjIZPJEB4erpTEHjlyBGPHjkX//v1RvXp1vHr1CuHh4dDX10ffvn3z3Hbz5s2xd+9edOvWDf369cOePXuKPCuxj48PmjZtikmTJuHmzZuoUaMGfvnlFzx9+hRA/pc7NYXJzQdo+fLlePnyJdasWQMjIyMMGDAAixYtQp06dTS+r/T09GIdQPbVV18hPT0dERER2LZtGxo1aoT9+/crzPvw7NkzDBs2DA0bNsTXX38tlbdu3RoTJkxAaGgo+vTpk+eka5pQsWJF7N69G4GBgZg6dSpcXFwQEhKCmJgYjSc3udO329nZFdiuffv2+OGHHzB//nxMnDgRLi4u0hdSYb/o69Wrh8jISAQGBmLGjBlwcHDArFmzkJCQoNHk4W2mpqb4888/MW/ePOzYsQM//vgjLCwsUL16dcyaNUsaRFkcx5yXkSNHwtTUFIcPH8bevXuRlpYGKysrdO7cGUFBQWjYsKFCe0tLS2zatAnjxo3D+vXrYWNjgxUrVijdZbJnzx4sWbIEP/74I3bv3g1TU1N89NFHmDBhgsIlqGnTpqF69epYsmSJNH7F0dERnTt3Rs+ePaV2n332GXJycrBo0SJMmTIFdevWxS+//IJvvvlG6Zg2b96MkSNHYv78+ShfvjyGDx+Odu3aoVOnTkptVTmekSNHYvPmzVi8eDGeP38OBwcHjB8//p3JrImJCaKiojBt2jRs2rQJaWlpcHNzw8aNG3X+AcMVK1bEvn37MGnSJEyfPh2WlpYYOnQoOnTooHBHYv369eHl5YVff/0V9+/fh6mpKerXr48DBw4U+BnXvn17bN++HX379sUnn3xS5ElZ9fX1sX//fkyYMAGbNm2Cnp4eevfujeDgYLRs2bLYZz6WieIaEUgfvKtXr6J27drYt28fvL29tR3OB2Hq1KnYsmULbt68+UE9uuN91bZtWzx+/Bj//vuvtkPRCF07HtK8PXv2oHfv3jh+/Pg7744rCo65oWJz9OhReHh4MLEpQUePHsU333zDxIaItO7t8Ts5OTlYvnw5LCws8pxtXJN4WYqKzZgxY0pswiZ6Td1J0YiIisu4ceOQmZkJDw8PZGVlYdeuXTh58iTmzZunMCFhcWByQ0RERBrXvn17hIaGYt++fXjx4gWqVq2K5cuXY+zYscW+b465ISIiIp3CMTdERESkU5jcEBERkU5hckP0hocPH6Jfv36oWLEiZDIZli5dqu2QdIqzs7POz0fi7++v8jOcZDJZqZssThVxcXGQyWQICwvTdihEeWJyQ/SGL774ApGRkQgKCkJ4eDi6dOlSrPuTyWQlMriOXp/r3Jeenh7s7e3RuXNnREVFaTu0UuXXX3+Fp6cnrK2tpYkCBwwYgIMHD2o7NCKV8W4pojccOXIEvXr1wuTJk7Udik66ceOGwgMPS1qnTp3g6+sLIQRiY2OxatUqtG/fHvv370fXrl21Fldp8d1332HKlCnw9PREUFAQTE1NcfPmTfzxxx/YunWrlOw7OTkhMzOzyFP0ExUXJjdEb0hKSkL58uU1tr0XL16gTJkyWv1Cf9vbT2wuSdqeXLB69eoYOnSotNy7d2/Uq1cPS5cuzTe5KY2/w+Lw6tUrzJkzB506dcLvv/+uVP/m8+dkMlmxT59PVBS6/ddKpKKwsDDIZDIIIbBy5Urp8kWu27dvo3///qhQoQJMTU3RvHlz7N+/X2EbUVFRkMlk2Lp1K6ZPn47KlSvD1NQUaWlpKseRu43t27fj22+/hYODA4yNjdGhQwfcvHlTqf2ZM2fQrVs3WFpaomzZsqhXrx6WLVsm1eeO/7h16xa6desGc3NzDBkyBMDrJ/QuXboUtWvXhrGxMWxsbDBy5EgkJycr7GPv3r3w9vaGvb09jIyM4Orqijlz5ig8XRsAYmJi0LdvX9ja2sLY2BgODg4YOHAgUlNTpTZvj7nJPe8nTpxAYGAgrKysULZsWfTu3RuPHj1S2L5cLsfMmTNhb28PU1NTtGvXDlevXi3SOJ66deuiUqVKiI2NVTj/+f0Od+zYAXd3d5iYmKBSpUoYOnRonk+gB16/Z7y8vFC2bFnY29tj9uzZSg85zMv9+/cxbNgw2NjYwMjICLVr18aGDRsU2rz5Ppk1axYqV64Mc3Nz9OvXD6mpqcjKysLEiRNhbW0NMzMzBAQE5PlE6Dc9fvwYaWlp+U6Jb21tLf389pib3HjyeuU+PDfXgQMH0Lp1a5QtWxbm5ubw9vbGlStXFNokJiYiICAADg4OMDIygp2dHXr16qX2A3jpw8WeGyIAbdq0QXh4OD755BPp0kWuhw8fokWLFsjIyMD48eNRsWJFbNq0CT179sTPP/+M3r17K2xrzpw5KFOmDCZPnoysrCyUKVNG7Xjmz58PPT09TJ48GampqVi4cCGGDBmCM2fOSG0OHTqE7t27w87ODhMmTICtrS2uXbuGffv2YcKECVK7V69ewcvLC61atcJ3330HU1NTAK8fXhgWFoaAgACMHz8esbGxWLFiBS5cuIATJ05IlxzCwsJgZmaGwMBAmJmZ4ciRI5gxYwbS0tKwaNEiAEB2dja8vLyQlZWFcePGwdbWFvfv38e+ffuQkpIiPbwyP+PGjYOlpSWCg4MRFxeHpUuXYuzYsdi2bZvUJigoCAsXLkSPHj3g5eWFS5cuwcvLCy9evFD7/OZKTk5GcnKy0sNd8/od5p6rJk2aICQkBA8fPsSyZctw4sQJXLhwQaHHLycnB126dEHz5s2xcOFCHDx4EMHBwXj16hVmz56dbzwPHz5E8+bNpbFYVlZWOHDgAIYPH460tDRMnDhRoX1ISAhMTEwwbdo03Lx5E8uXL4ehoSH09PSQnJyMmTNn4vTp0wgLC4OLiwtmzJiR776tra1hYmKCX3/9FePGjUOFChVUPo81a9ZEeHi4QllKSgoCAwMVkqLw8HD4+fnBy8sLCxYsQEZGBlavXo1WrVrhwoULUiLUt29fXLlyBePGjYOzszOSkpJw6NAh3LlzRylZIsqTICIJADFmzBiFsokTJwoA4tixY1LZs2fPhIuLi3B2dhY5OTlCCCGOHj0qAIiPPvpIZGRkFGp/uduoWbOmyMrKksqXLVsmAIjo6GghhBCvXr0SLi4uwsnJSSQnJytsUy6XSz/7+fkJAGLatGkKbY4dOyYAiM2bNyuUHzx4UKk8r2MZOXKkMDU1FS9evBBCCHHhwgUBQOzYsaPA43VychJ+fn7S8saNGwUA0bFjR4W4v/jiC6Gvry9SUlKEEEIkJiYKAwMD4ePjo7C9mTNnCgAK28wPADF8+HDx6NEjkZSUJM6cOSM6dOggAIjQ0FAhRP6/w+zsbGFtbS3q1KkjMjMzpfJ9+/YJAGLGjBlSWe45HzdunFQml8uFt7e3KFOmjHj06JFCTMHBwdLy8OHDhZ2dnXj8+LFC7AMHDhTlypWTYsqNs06dOiI7O1tqN2jQICGTyUTXrl0V1vfw8BBOTk7vPEczZswQAETZsmVF165dxbfffivOnTun1C42NlYAEBs3bsxzO3K5XHTv3l2YmZmJK1euCCFe/82UL19efPrppwptExMTRbly5aTy5ORkAUAsWrTonfES5YeXpYje4bfffkPTpk3RqlUrqczMzAyfffYZ4uLicPXqVYX2fn5+RX5uSkBAgEKPT+vWrQG8vtQBABcuXEBsbCwmTpyoNEbozctpuT7//HOF5R07dqBcuXLo1KkTHj9+LL3c3d1hZmaGo0ePSm3fPJZnz57h8ePHaN26NTIyMnD9+nUAkHpmIiMjkZGRofbxfvbZZwpxt27dGjk5OYiPjwcAHD58GK9evcLo0aMV1hs3bpxa+/nhhx9gZWUFa2trNGvWTLoc9naPyNu/w7NnzyIpKQmjR49WGGvi7e2NGjVqKF2iBKBwF1xuT0x2djb++OOPPGMTQmDnzp3o0aMHhBAKvxcvLy+kpqbi/PnzCuv4+voqDOpt1qwZhBAYNmyYQrtmzZrh7t27ePXqVYHnZ9asWYiIiEDDhg0RGRmJr7/+Gu7u7mjUqBGuXbtW4LpvmjNnDvbt24ewsDDUqlULwOuexpSUFAwaNEjh2PT19dGsWTPpPWdiYoIyZcogKipK6RIpkap4WYroHeLj49GsWTOl8po1a0r1derUkcpdXFyKvM8qVaooLFtaWgKA9GF/69YtAFDYb34MDAzg4OCgUBYTE4PU1FSFSwZvenPw6JUrVzB9+nQcOXJEafxQ7ngaFxcXBAYGYvHixdi8eTNat26Nnj17YujQoe+8JAW8+3hzk5y3Lx9VqFBBaquKXr16YezYsZDJZDA3N0ft2rXzHFz99u8wd/9ubm5KbWvUqIHjx48rlOnp6eGjjz5SKKtevToA5Dtu5NGjR0hJScG6deuwbt26PNu8+XsBlM9b7rl2dHRUKpfL5UhNTUXFihXz3HauQYMGYdCgQUhLS8OZM2cQFhaGiIgI9OjRA//+++87BxIfPHgQs2bNQlBQEPr27SuVx8TEAHj9vKG8WFhYAHg96HzBggWYNGkSbGxs0Lx5c3Tv3h2+vr6wtbUtcN9EuZjcEGmYJp52q6+vn2e5KMSj4IyMjJTu9JHL5bC2tsbmzZvzXMfKygrA63ETnp6esLCwwOzZs+Hq6gpjY2OcP38eX375JeRyubROaGgo/P39sXfvXvz+++8YP348QkJCcPr0aaXk6m2aPN6CODg4oGPHju9sV9xPLM5L7rkcOnQo/Pz88mxTr149heX8zpsmzqeFhQU6deqETp06wdDQEJs2bcKZM2fg6emZ7zqxsbEYMmQIOnXqhLlz5yrU5R5feHh4nkmKgcH/fx1NnDgRPXr0wJ49exAZGYlvvvkGISEhOHLkCBo2bKjyMdCHi8kN0Ts4OTnhxo0bSuW5l2ScnJxKOiS4uroCAP7991+VvqzzWv+PP/5Ay5YtC/wij4qKwpMnT7Br1y60adNGKs+9u+htdevWRd26dTF9+nScPHkSLVu2xJo1a5S+6NSVe45v3ryp0Kvy5MmTErl0kbv/GzduKPU83LhxQ+k9IJfLcfv2bam3BgD+++8/AMh3QKyVlRXMzc2Rk5NTqN9pcWrcuDE2bdqEhISEfNtkZmaiT58+KF++PLZs2aKUUOe+Z62trVU6PldXV0yaNAmTJk1CTEwMGjRogNDQUPz0009FOxj6IHDMDdE7dOvWDX///TdOnTollaWnp2PdunVwdnaWxhSUpEaNGsHFxQVLly5FSkqKQp0q/50PGDAAOTk5mDNnjlLdq1evpG3m9gC8uc3s7GysWrVKYZ20tDSl8Rx169aFnp7eO29BVkWHDh1gYGCA1atXK5SvWLGiyNtWRePGjWFtbY01a9YoHM+BAwdw7do1eHt7K63zZmxCCKxYsQKGhobo0KFDnvvQ19dH3759sXPnTvz7779K9W/fGq9pGRkZCu/xNx04cABA3pflco0aNQr//fcfdu/eneelQi8vL1hYWGDevHl4+fKlUn3u8WVkZCjdAefq6gpzc3ONvJfow8CeG6J3mDZtGrZs2YKuXbti/PjxqFChAjZt2oTY2Fjs3LlTK5O76enpYfXq1ejRowcaNGiAgIAA2NnZ4fr167hy5QoiIyMLXN/T0xMjR45ESEgILl68iM6dO8PQ0BAxMTHYsWMHli1bhn79+qFFixawtLSEn58fxo8fD5lMhvDwcKUE6siRIxg7diz69++P6tWr49WrVwgPD5e+sIvKxsYGEyZMQGhoKHr27IkuXbrg0qVLOHDgACpVqpTnIGpNMjQ0xIIFCxAQEABPT08MGjRIuhXc2dkZX3zxhUJ7Y2NjHDx4EH5+fmjWrBkOHDiA/fv346uvvpIu+eVl/vz5OHr0KJo1a4ZPP/0UtWrVwtOnT3H+/Hn88ccfePr0abEdY0ZGBlq0aIHmzZujS5cucHR0REpKCvbs2YNjx47Bx8cn30tC+/fvx48//oi+ffvi8uXLuHz5slRnZmYGHx8fWFhYYPXq1fjkk0/QqFEjDBw4EFZWVrhz5w7279+Pli1bYsWKFfjvv//QoUMHDBgwALVq1YKBgQF2796Nhw8fYuDAgcV2/KRbmNwQvYONjQ1OnjyJL7/8EsuXL8eLFy9Qr149/Prrr3n+x15SvLy8cPToUcyaNQuhoaGQy+VwdXXFp59+qtL6a9asgbu7O9auXYuvvvoKBgYGcHZ2xtChQ6WJ3CpWrIh9+/Zh0qRJmD59OiwtLTF06FB06NABXl5e0rbq168PLy8v/Prrr7h//z5MTU1Rv359HDhwAM2bN9fI8S5YsACmpqZYv349/vjjD3h4eOD3339Hq1atSmS2XH9/f5iammL+/Pn48ssvpckGFyxYoHTHmr6+Pg4ePIjPP/8cU6ZMgbm5OYKDgwucZwZ4/V77+++/MXv2bOzatQurVq1CxYoVUbt2bSxYsKAYjw4oX7481q9fj/3792Pjxo1ITEyEvr4+3NzcsGjRIowfPz7fdXN7XXbu3ImdO3cq1Dk5OcHHxwcAMHjwYNjb22P+/PlYtGgRsrKyULlyZbRu3RoBAQEAXg+GHjRoEA4fPozw8HAYGBigRo0a2L59u0YSZfowyISmR+wREZWQlJQUWFpaYu7cufj666+1HQ4RlRIcc0NE74XMzEylsqVLlwIA2rZtW7LBEFGpxstSRPRe2LZtG8LCwtCtWzeYmZnh+PHj2LJlCzp37pzv85CI6MPE5IaI3gv16tWDgYEBFi5ciLS0NGmQcVFvMyci3cMxN0RERKRTOOaGiIiIdMoHd1lKLpfjwYMHMDc3L/a5MYiIiEgzhBB49uwZ7O3t3zm/2AeX3Dx48EDpoXJERET0frh79+47n1f3wSU35ubmAF6fnNyn0BIREVHplpaWBkdHR+l7vCAfXHKTeynKwsKCyQ0REdF7RpUhJRxQTERERDqFyQ0RERHpFCY3REREpFM+uDE3qsrJycHLly+1HYbOMDQ0hL6+vrbDICKiDwCTm7cIIZCYmIiUlBRth6JzypcvD1tbW84vRERExYrJzVtyExtra2uYmpryi1gDhBDIyMhAUlISAMDOzk7LERERkS5jcvOGnJwcKbGpWLGitsPRKSYmJgCApKQkWFtb8xIVEREVGw4ofkPuGBtTU1MtR6Kbcs8rxzIREVFxYnKTB16KKh48r0REVBKY3BAREZFOYXJDREREOoUDilXkPG1/ie4vbr53ie6PiIhIV7DnRkf4+/tDJpNh1KhRSnVjxoyBTCaDv79/yQdGRERUwpjc6BBHR0ds3boVmZmZUtmLFy8QERGBKlWqaDEyIiKiksPkRoc0atQIjo6O2LVrl1S2a9cuVKlSBQ0bNpTKDh48iFatWqF8+fKoWLEiunfvjlu3bkn1P/74I8zMzBATEyOVjR49GjVq1EBGRkbJHAwREVEhccyNjhk2bBg2btyIIUOGAAA2bNiAgIAAREVFSW3S09MRGBiIevXq4fnz55gxYwZ69+6NixcvQk9PD76+vti3bx+GDBmCkydPIjIyEv/73/9w6tQpzgFERFSMChrfybGYqmNyo2OGDh2KoKAgxMfHAwBOnDiBrVu3KiQ3ffv2VVhnw4YNsLKywtWrV1GnTh0AwNq1a1GvXj2MHz8eu3btwsyZM+Hu7l5ix0FERFRYTG50jJWVFby9vREWFgYhBLy9vVGpUiWFNjExMZgxYwbOnDmDx48fQy6XAwDu3LkjJTeWlpb44Ycf4OXlhRYtWmDatGklfixERESFweRGBw0bNgxjx44FAKxcuVKpvkePHnBycsL69ethb28PuVyOOnXqIDs7W6HdX3/9BX19fSQkJCA9PR3m5uYlEj8REVFRcECxDurSpQuys7Px8uVLeHl5KdQ9efIEN27cwPTp09GhQwfUrFkTycnJSts4efIkFixYgF9//RVmZmZSskRERFTasedGB+nr6+PatWvSz2+ytLRExYoVsW7dOtjZ2eHOnTtKl5yePXuGTz75BOPHj0fXrl3h4OCAJk2aoEePHujXr1+JHQcREVFhaDW5Wb16NVavXo24uDgAQO3atTFjxgx07do1z/ZhYWEICAhQKDMyMsKLFy+KO9T3bpS6hYVFnuV6enrYunUrxo8fjzp16sDNzQ3ff/892rZtK7WZMGECypYti3nz5gEA6tati3nz5mHkyJHw8PBA5cqVS+IQiIiICkWryY2DgwPmz5+PatWqQQiBTZs2oVevXrhw4QJq166d5zoWFha4ceOGtMwnTb8WFhZWYP2ePXuknzt27IirV68q1AshpJ83bNigtH5gYCACAwOLFCMREVFJ0Gpy06NHD4Xlb7/9FqtXr8bp06fzTW5kMhlsbW1LIjwiIiJ6D5WaAcU5OTnYunUr0tPT4eHhkW+758+fw8nJCY6OjujVqxeuXLlS4HazsrKQlpam8CIiIiLdpfXkJjo6GmZmZjAyMsKoUaOwe/du1KpVK8+2bm5u2LBhA/bu3YuffvoJcrkcLVq0wL179/LdfkhICMqVKye9HB0di+tQiIiIqBTQenLj5uaGixcv4syZM/j888/h5+enNB4kl4eHB3x9fdGgQQN4enpi165dsLKywtq1a/PdflBQEFJTU6XX3bt3i+tQiIiIqBTQ+q3gZcqUQdWqVQEA7u7u+Oeff7Bs2bICE5ZchoaGaNiwIW7evJlvGyMjIxgZGWksXiIiog/Z+/D8K6333LxNLpcjKytLpbY5OTmIjo6GnZ1dMUdFRERE7wut9twEBQWha9euqFKlCp49e4aIiAhERUUhMjISAODr64vKlSsjJCQEADB79mw0b94cVatWRUpKChYtWoT4+HiMGDFCm4dBREREpYhWk5ukpCT4+voiISEB5cqVQ7169RAZGYlOnToBeP0gRz29/+9cSk5OxqefforExERYWlrC3d0dJ0+ezHcAMhEREX14tJrc/PDDDwXWR0VFKSwvWbIES5YsKcaIiIiI6H2n9QHF742Z5Up4f6nFtum2bduiQYMGWLp0abHtg4iISFtK3YBiKhx/f3/IZDKMGjVKqW7MmDGQyWTw9/cHAOzatQtz5swp4QiJiIhKBpMbHeLo6IitW7ciMzNTKnvx4gUiIiJQpUoVqaxChQowNzfXRohERETFjsmNDmnUqBEcHR2xa9cuqWzXrl2oUqUKGjZsKJW1bdsWEydOlJadnZ0xb948DBs2DObm5qhSpQrWrVtXkqETERFpDJMbHTNs2DBs3LhRWt6wYQMCAgLeuV5oaCgaN26MCxcuYPTo0fj8888Vnr5ORET0vmByo2OGDh2K48ePIz4+HvHx8Thx4gSGDh36zvW6deuG0aNHo2rVqvjyyy9RqVIlHD16tAQiJiIi0izeLaVjrKys4O3tjbCwMAgh4O3tjUqVKr1zvXr16kk/y2Qy2NraIikpqThDJSIiKhZMbnTQsGHDMHbsWADAypUrVVrH0NBQYVkmk0Eul2s8NiIiouLG5EYHdenSBdnZ2ZDJZPDy8tJ2OERERCWKyY0O0tfXx7Vr16SfiYiIPiRMblRVjDMGFwcLCwtth0BERKQVTG50RFhYWIH1e/bskX5++5ldcXFxSu0vXrxY5JiIiIi0gbeCExERkU5hckNEREQ6hckNERER6RQmN0RERKRTmNwQERGRTmFyQ0RERDqFyQ0RERHpFCY3REREpFOY3BAREZFO4QzFKqq7qW6J7i/aL7pE90dERKQr2HOjI/z9/SGTyTBq1CilujFjxkAmk8Hf37/kAyMiIiphTG50iKOjI7Zu3YrMzEyp7MWLF4iIiECVKlW0GBkREVHJYXKjQxo1agRHR0fs2rVLKtu1axeqVKmChg0bSmVyuRwhISFwcXGBiYkJ6tevj59//lmqz8nJwfDhw6V6Nzc3LFu2TGFf/v7+8PHxwXfffQc7OztUrFgRY8aMwcuXL4v/QImIiArA5EbHDBs2DBs3bpSWN2zYgICAAIU2ISEh+PHHH7FmzRpcuXIFX3zxBYYOHYo///wTwOvkx8HBATt27MDVq1cxY8YMfPXVV9i+fbvCdo4ePYpbt27h6NGj2LRpE8LCwt75dHIiIqLixgHFOmbo0KEICgpCfHw8AODEiRPYunUroqKiAABZWVmYN28e/vjjD3h4eAAAPvroIxw/fhxr166Fp6cnDA0NMWvWLGmbLi4uOHXqFLZv344BAwZI5ZaWllixYgX09fVRo0YNeHt74/Dhw/j0009L7oCJiIjewuRGx1hZWcHb2xthYWEQQsDb2xuVKlWS6m/evImMjAx06tRJYb3s7GyFS1crV67Ehg0bcOfOHWRmZiI7OxsNGjRQWKd27drQ19eXlu3s7BAdzbu8iIhIu5jc6KBhw4Zh7NixAF4nKW96/vw5AGD//v2oXLmyQp2RkREAYOvWrZg8eTJCQ0Ph4eEBc3NzLFq0CGfOnFFob2hoqLAsk8kgl8s1eixERETqYnKjg7p06YLs7GzIZDJ4eXkp1NWqVQtGRka4c+cOPD0981z/xIkTaNGiBUaPHi2V3bp1q1hjJiIi0hQmNzpIX18f165dk35+k7m5OSZPnowvvvgCcrkcrVq1QmpqKk6cOAELCwv4+fmhWrVq+PHHHxEZGQkXFxeEh4fjn3/+gYuLizYOh4iISC1MblT0vs0YbGFhkW/dnDlzYGVlhZCQENy+fRvly5dHo0aN8NVXXwEARo4ciQsXLuDjjz+GTCbDoEGDMHr0aBw4cKCkwiciIio0mRBCaDuIkpSWloZy5cohNTVVKQF48eIFYmNj4eLiAmNjYy1FqLt4fomICuY8bX++dXHzvUswkvxpK8aCvr/fxnluiIiISKcwuSEiIiKdwuSGiIiIdAqTGyIiItIpTG7ywInoigfPKxERlQSt3gq+evVqrF69GnFxcQBeT+c/Y8YMdO3aNd91duzYgW+++QZxcXGoVq0aFixYgG7dumkknjJlykBPTw8PHjyAlZUVypQpA5lMppFtf8iEEMjOzsajR4+gp6eHMmXKaDskIiLSYVpNbhwcHDB//nxUq1YNQghs2rQJvXr1woULF1C7dm2l9idPnsSgQYMQEhKC7t27IyIiAj4+Pjh//jzq1KlT5Hj09PTg4uKChIQEPHjwoMjbI0WmpqaoUqUK9PTYYUhERMWn1M1zU6FCBSxatAjDhw9Xqvv444+Rnp6Offv2SWXNmzdHgwYNsGbNGpW2r8p98kIIvHr1Cjk5OYU7CFKir68PAwMD9oQRERWA89zkT515bkrNDMU5OTnYsWMH0tPT4eHhkWebU6dOITAwUKHMy8sLe/bsyXe7WVlZyMrKkpbT0tLeGYtMJoOhoaHSgyGJiIio9NP69YHo6GiYmZnByMgIo0aNwu7du1GrVq082yYmJsLGxkahzMbGBomJifluPyQkBOXKlZNejo6OGo2fiIiIShetJzdubm64ePEizpw5g88//xx+fn64evWqxrYfFBSE1NRU6XX37l2NbZuIiIhKH61flipTpgyqVq0KAHB3d8c///yDZcuWYe3atUptbW1t8fDhQ4Wyhw8fwtbWNt/tGxkZwcjISLNBExERUaml9Z6bt8nlcoUxMm/y8PDA4cOHFcoOHTqU7xgdIiIi+vBotecmKCgIXbt2RZUqVfDs2TNEREQgKioKkZGRAABfX19UrlwZISEhAIAJEybA09MToaGh8Pb2xtatW3H27FmsW7dOm4dBREREpYhWk5ukpCT4+voiISEB5cqVQ7169RAZGYlOnToBAO7cuaMwJ0qLFi0QERGB6dOn46uvvkK1atWwZ88ejcxxQ0RERLpBq8nNDz/8UGB9VFSUUln//v3Rv3//YoqIiIiI3nelbswNERERUVEwuSEiIiKdwuSGiIiIdAqTGyIiItIpTG6IiIhIpzC5ISIiIp3C5IaIiIh0CpMbIiIi0ilMboiIiEinMLkhIiIincLkhoiIiHQKkxsiIiLSKUxuiIiISKcwuSEiIiKdwuSGiIiIdIqBtgMgIiIqCc7T9udbFzffuwQjoeLGnhsiIiLSKUxuiIiISKcwuSEiIiKdwjE3RERUJBzLQqUNe26IiIhIpzC5ISIiIp3C5IaIiIh0CpMbIiIi0ilMboiIiEinMLkhIiIincLkhoiIiHQKkxsiIiLSKUxuiIiISKcwuSEiIiKdwuSGiIiIdAqTGyIiItIpTG6IiIhIpxTqqeB37txBfHw8MjIyYGVlhdq1a8PIyEjTsRERERGpTeXkJi4uDqtXr8bWrVtx7949CCGkujJlyqB169b47LPP0LdvX+jpsUOIiIiItEOlLGT8+PGoX78+YmNjMXfuXFy9ehWpqanIzs5GYmIifvvtN7Rq1QozZsxAvXr18M8//xR33ERERER5UqnnpmzZsrh9+zYqVqyoVGdtbY327dujffv2CA4OxsGDB3H37l00adJE48ESERERvYtKyU1ISIjKG+zSpUuhgyEiIiIqKrUHx2RmZiIjI0Najo+Px9KlSxEZGan2zkNCQtCkSROYm5vD2toaPj4+uHHjRoHrhIWFQSaTKbyMjY3V3jcRERHpJrWTm169euHHH38EAKSkpKBZs2YIDQ2Fj48PVq9erda2/vzzT4wZMwanT5/GoUOH8PLlS3Tu3Bnp6ekFrmdhYYGEhATpFR8fr+5hEBERkY5S+1bw8+fPY8mSJQCAn3/+GTY2Nrhw4QJ27tyJGTNm4PPPP1d5WwcPHlRYDgsLg7W1Nc6dO4c2bdrku55MJoOtra1K+8jKykJWVpa0nJaWpnJ8RERE9P5Ru+cmIyMD5ubmAIDff/8dffr0gZ6eHpo3b17kHpTU1FQAQIUKFQps9/z5czg5OcHR0RG9evXClStX8m0bEhKCcuXKSS9HR8cixUhERESlm9rJTdWqVbFnzx7cvXsXkZGR6Ny5MwAgKSkJFhYWhQ5ELpdj4sSJaNmyJerUqZNvOzc3N2zYsAF79+7FTz/9BLlcjhYtWuDevXt5tg8KCkJqaqr0unv3bqFjJCIiotJP7ctSM2bMwODBg/HFF1+gQ4cO8PDwAPC6F6dhw4aFDmTMmDH4999/cfz48QLbeXh4SPsEgBYtWqBmzZpYu3Yt5syZo9TeyMiIsycTERF9QNRObvr164dWrVohISEB9evXl8o7dOiA3r17FyqIsWPHYt++ffjrr7/g4OCg1rqGhoZo2LAhbt68Wah9ExERkW4p1LOlbG1tlQb0Nm3aVO3tCCEwbtw47N69G1FRUXBxcVF7Gzk5OYiOjka3bt3UXpeIiIh0j8rJzbBhwxSWN2zYUOSdjxkzBhEREdi7dy/Mzc2RmJgIAChXrhxMTEwAAL6+vqhcubI0keDs2bPRvHlzVK1aFSkpKVi0aBHi4+MxYsSIIsdDRERE7z+VkxsnJyeN7zx3Xpy2bdsqlG/cuBH+/v4AXj+B/M0HcSYnJ+PTTz9FYmIiLC0t4e7ujpMnT6JWrVoaj4+IiIjePyonN8HBwRrf+ZtPFs9PVFSUwvKSJUukeXaIiIiI3qb2reBEREREpZlKPTcNGzaETCZTaYPnz58vUkBERERERaFScuPj41PMYRARERFphkrJTXGMtyEiIiIqDoWa5wYAsrOzkZSUBLlcrlBepUqVIgdFREREVFhqJzf//fcfhg8fjpMnTyqUCyEgk8mQk5OjseCIiIiI1KV2chMQEAADAwPs27cPdnZ2Kg80JiIiIioJaic3Fy9exLlz51CjRo3iiIeIiIioSNSe56ZWrVp4/PhxccRCREREVGQqJTdpaWnSa8GCBZg6dSqioqLw5MkThbq0tLTijpeIiIioQCpdlipfvrzC2BohBDp06KDQhgOKiYiIqDRQKbk5evRoccdBREREpBEqJTeenp7FHQcRERGRRhR6Er+MjAzcuXMH2dnZCuX16tUrclBEREREhaV2cvPo0SMEBATgwIEDedZzzA0RERFpk9q3gk+cOBEpKSk4c+YMTExMcPDgQWzatAnVqlXDL7/8UhwxEhEREalM7Z6bI0eOYO/evWjcuDH09PTg5OSETp06wcLCAiEhIfD29i6OOImIiIhUonbPTXp6OqytrQEAlpaWePToEQCgbt26OH/+vGajIyIiIlKT2smNm5sbbty4AQCoX78+1q5di/v372PNmjWws7PTeIBERERE6lD7stSECROQkJAAAAgODkaXLl2wefNmlClTBmFhYZqOj4iIiEgtaic3Q4cOlX52d3dHfHw8rl+/jipVqqBSpUoaDY6IiIhIXYWe5yaXqakpGjVqpIlYiIiIiIpMpeQmMDBQ5Q0uXry40MEQERERFZVKyc2FCxcUls+fP49Xr17Bzc0NAPDff/9BX18f7u7umo+QiIiISA1qPzhz8eLFMDc3x6ZNm2BpaQkASE5ORkBAAFq3bl08URIRERGpSO1bwUNDQxESEiIlNsDr+W7mzp2L0NBQjQZHREREpC61k5u0tDRp4r43PXr0CM+ePdNIUERERESFpXZy07t3bwQEBGDXrl24d+8e7t27h507d2L48OHo06dPccRIREREpDK1bwVfs2YNJk+ejMGDB+Ply5evN2JggOHDh2PRokUaD5CIiIhIHWonN6ampli1ahUWLVqEW7duAQBcXV1RtmxZjQdHREREpK5CT+JXtmxZ1KtXT5OxEBERERWZ2snNixcvsHz5chw9ehRJSUmQy+UK9XwyOBEREWmT2snN8OHD8fvvv6Nfv35o2rQpZDJZccRFREREVChqJzf79u3Db7/9hpYtWxZHPERERERFovat4JUrV4a5uXlxxEJERERUZIWaofjLL79EfHx8ccRDREREVCRqX5Zq3LgxXrx4gY8++gimpqYwNDRUqH/69KnGgiMiIiJSl9rJzaBBg3D//n3MmzcPNjY2HFBMREREpYrayc3Jkydx6tQp1K9fv8g7DwkJwa5du3D9+nWYmJigRYsWWLBgAdzc3Apcb8eOHfjmm28QFxeHatWqYcGCBejWrVuR4yEiIqL3n9pjbmrUqIHMzEyN7PzPP//EmDFjcPr0aRw6dAgvX75E586dkZ6enu86J0+exKBBgzB8+HBcuHABPj4+8PHxwb///quRmIiIiOj9pnbPzfz58zFp0iR8++23qFu3rtKYGwsLC5W3dfDgQYXlsLAwWFtb49y5c2jTpk2e6yxbtgxdunTBlClTAABz5szBoUOHsGLFCqxZs0apfVZWFrKysqTltLQ0leMjIiKi94/ayU2XLl0AAB06dFAoF0JAJpMhJyen0MGkpqYCACpUqJBvm1OnTiEwMFChzMvLC3v27MmzfUhICGbNmlXomIiIiOj9onZyc/To0eKIA3K5HBMnTkTLli1Rp06dfNslJibCxsZGoczGxgaJiYl5tg8KClJIhtLS0uDo6KiZoImIiKjUUTu58fT0zLeuKONexowZg3///RfHjx8v9DbyYmRkBCMjI41uk4iIiEovtQcUv+3Zs2dYt24dmjZtWug7qMaOHYt9+/bh6NGjcHBwKLCtra0tHj58qFD28OFD2NraFmrfREREpFsKndz89ddf8PPzg52dHb777ju0b98ep0+fVmsbQgiMHTsWu3fvxpEjR+Di4vLOdTw8PHD48GGFskOHDsHDw0OtfRMREZFuUuuyVGJiIsLCwvDDDz8gLS0NAwYMQFZWFvbs2YNatWqpvfMxY8YgIiICe/fuhbm5uTRuply5cjAxMQEA+Pr6onLlyggJCQEATJgwAZ6enggNDYW3tze2bt2Ks2fPYt26dWrvn4iIiHSPyj03PXr0gJubGy5fvoylS5fiwYMHWL58eZF2vnr1aqSmpqJt27aws7OTXtu2bZPa3LlzBwkJCdJyixYtEBERgXXr1qF+/fr4+eefsWfPngIHIRMREdGHQ+WemwMHDmD8+PH4/PPPUa1aNY3sXAjxzjZRUVFKZf3790f//v01EgMRERHpFpV7bo4fP45nz57B3d0dzZo1w4oVK/D48ePijI2IiIhIbSonN82bN8f69euRkJCAkSNHYuvWrbC3t4dcLsehQ4fw7Nmz4oyTiIiISCVq3y1VtmxZDBs2DMePH0d0dDQmTZqE+fPnw9raGj179iyOGImIiIhUVqR5btzc3LBw4ULcu3cPW7Zs0VRMRERERIWm9gzFedHX15eezk1E9L5wnrY/37q4+d4lGAkRaZJKPTejRo3CvXv3VNrgtm3bsHnz5iIFRURERFRYKvXcWFlZoXbt2mjZsiV69OiBxo0bw97eHsbGxkhOTsbVq1dx/PhxbNmyBZUrV+aEekRERKQ1KiU3c+bMwdixY/G///0Pq1atwtWrVxXqzc3N0bFjR6xfvx5dunQplkCJiD5EvHRGpD6Vx9zY2Njg66+/xtdff43k5GTcuXMHmZmZqFSpElxdXSGTyYozTiIiIiKVFGpAsaWlJSwtLTUdCxEREVGRFelWcCIiIqLShskNERER6RQmN0RERKRTmNwQERGRTin0DMVJSUm4ceMGgNePYbC2ttZYUERERESFpXbPzbNnz/DJJ5+gcuXK8PT0hKenJypXroyhQ4ciNTW1OGIkIiIiUpnayc2IESNw5swZ7Nu3DykpKUhJScG+fftw9uxZjBw5sjhiJCIiIlKZ2pel9u3bh8jISLRq1Uoq8/Ly4uzEREREVCqo3XNTsWJFlCtXTqm8XLlynNiPiIiItE7t5Gb69OkIDAxEYmKiVJaYmIgpU6bgm2++0WhwREREROpS+7LU6tWrcfPmTVSpUgVVqlQBANy5cwdGRkZ49OgR1q5dK7U9f/685iIlIiIiUoHayY2Pj08xhEFERESkGWonN8HBwcURBxEREZFGcIZiIiIi0ilq99zo6elBJpPlW5+Tk1OkgIiIiIiKQu3kZvfu3QrLL1++xIULF7Bp0ybMmjVLY4ERERERFYbayU2vXr2Uyvr164fatWtj27ZtGD58uEYCIyIiIioMjY25ad68OQ4fPqypzREREREVikaSm8zMTHz//feoXLmyJjZHREREVGhqX5aytLRUGFAshMCzZ89gamqKn376SaPBEREREalL7eRmyZIlCsmNnp4erKys0KxZMz5bioiIiLRO7eTG39+/GMIgIiIi0gyVkpvLly+rvMF69eoVOhgiIiKiolIpuWnQoAFkMhmEEADASfyIiIio1FLpbqnY2Fjcvn0bsbGx2LVrF1xcXLBq1SpcuHABFy5cwKpVq+Dq6oqdO3cWd7xEREREBVKp58bJyUn6uX///vj+++/RrVs3qaxevXpwdHTEN998w6eGExERkVapPaA4OjoaLi4uSuUuLi64evWqRoIiIiIi3VJ3U91866L9ojW6L7Un8atZsyZCQkKQnZ0tlWVnZyMkJAQ1a9bUaHBERERE6lI7uVmzZg0iIyPh4OCAjh07omPHjnBwcEBkZCTWrFmj1rb++usv9OjRA/b29pDJZNizZ0+B7aOioiCTyZReiYmJ6h4GERER6Si1L0s1bdoUt2/fxubNm3H9+nUAwMcff4zBgwejbNmyam0rPT0d9evXx7Bhw9CnTx+V17tx4wYsLCykZWtra7X2S0RERLpL7eQGAMqWLYvPPvusyDvv2rUrunbtqvZ61tbWKF++vEpts7KykJWVJS2npaWpvT8iIiJ6fxTqwZnh4eFo1aoV7O3tER8fD+D1Yxn27t2r0eDy06BBA9jZ2aFTp044ceJEgW1DQkJQrlw56eXo6FgiMRIREZF2qJ3crF69GoGBgejatSuSk5OlSfssLS2xdOlSTcenwM7ODmvWrMHOnTuxc+dOODo6om3btjh//ny+6wQFBSE1NVV63b17t1hjJCIiIu1S+7LU8uXLsX79evj4+GD+/PlSeePGjTF58mSNBvc2Nzc3uLm5ScstWrTArVu3sGTJEoSHh+e5jpGREYyMjIo1LiIiIio91O65iY2NRcOGDZXKjYyMkJ6erpGg1NG0aVPcvHmzxPdLREREpZPayY2LiwsuXryoVH7w4EGtzHNz8eJF2NnZlfh+iYiIqHRS+7JUYGAgxowZgxcvXkAIgb///htbtmxBSEgI/ve//6m1refPnyv0usTGxuLixYuoUKECqlSpgqCgINy/fx8//vgjAGDp0qVwcXFB7dq18eLFC/zvf//DkSNH8Pvvv6t7GERERKSj1E5uRowYARMTE0yfPh0ZGRkYPHgw7O3tsWzZMgwcOFCtbZ09exbt2rWTlgMDAwEAfn5+CAsLQ0JCAu7cuSPVZ2dnY9KkSbh//z5MTU1Rr149/PHHHwrbICIiog9boea5GTJkCIYMGYKMjAw8f/680JPotW3bFkKIfOvDwsIUlqdOnYqpU6cWal9ERET0YSjUPDevXr3CH3/8gfDwcJiYmAAAHjx4gOfPn2s0OCIiIiJ1qd1zEx8fjy5duuDOnTvIyspCp06dYG5ujgULFiArK0vt50sRERERaZLaPTcTJkxA48aNkZycLPXaAEDv3r1x+PBhjQZHREREpC61e26OHTuGkydPokyZMgrlzs7OuH//vsYCIyIiIioMtXtu5HK59MiFN927dw/m5uYaCYqIiIiosNRObjp37qzwDCmZTIbnz58jODgY3bp102RsRERERGpT+7JUaGgovLy8UKtWLbx48QKDBw9GTEwMKlWqhC1bthRHjEREREQqUzu5cXBwwKVLl7B161ZcvnwZz58/x/DhwzFkyBCFAcZERERE2lCoSfwMDAwwdOhQTcdCREREVGSFSm5u3LiB5cuX49q1awCAmjVrYuzYsahRo4ZGgyMiIiJSl9oDinfu3Ik6derg3LlzqF+/PurXr4/z58+jbt262LlzZ3HESERERKQytXtupk6diqCgIMyePVuhPDg4GFOnTkXfvn01FhwRERGRutTuuUlISICvr69S+dChQ5GQkKCRoIiIiIgKS+3kpm3btjh27JhS+fHjx9G6dWuNBEVERERUWGpflurZsye+/PJLnDt3Ds2bNwcAnD59Gjt27MCsWbPwyy+/KLQlIiIiKklqJzejR48GAKxatQqrVq3Ksw54PXNxXo9pICIiIipOaic3crm8OOIgIiIi0gi1x9wQERERlWYq99ycOnUKT548Qffu3aWyH3/8EcHBwUhPT4ePjw+WL18OIyOjYgmUiIiopNXdVDffumi/6BKMhNShcs/N7NmzceXKFWk5Ojoaw4cPR8eOHTFt2jT8+uuvCAkJKZYgiYiIiFSlcnJz8eJFdOjQQVreunUrmjVrhvXr1yMwMBDff/89tm/fXixBEhEREalK5eQmOTkZNjY20vKff/6Jrl27SstNmjTB3bt3NRsdERERkZpUTm5sbGwQGxsLAMjOzsb58+eleW4A4NmzZzA0NNR8hERERERqUDm56datG6ZNm4Zjx44hKCgIpqamCjMSX758Ga6ursUSJBEREZGqVL5bas6cOejTpw88PT1hZmaGTZs2oUyZMlL9hg0b0Llz52IJkoiIiEhVKic3lSpVwl9//YXU1FSYmZlBX19foX7Hjh0wMzPTeIBERERUMN6yrkjtGYrLlSuXZ3mFChWKHAwRERFRUXGGYiIiItIpTG6IiIhIpzC5ISIiIp3C5IaIiIh0CpMbIiIi0ilMboiIiEinMLkhIiIincLkhoiIiHQKkxsiIiLSKUxuiIiISKdoNbn566+/0KNHD9jb20Mmk2HPnj3vXCcqKgqNGjWCkZERqlatirCwsGKPk4iIiN4fWk1u0tPTUb9+faxcuVKl9rGxsfD29ka7du1w8eJFTJw4ESNGjEBkZGQxR0pERETvC7UfnKlJXbt2RdeuXVVuv2bNGri4uCA0NBQAULNmTRw/fhxLliyBl5dXcYVJRERE75H3aszNqVOn0LFjR4UyLy8vnDp1Kt91srKykJaWpvAiIiIi3aXVnht1JSYmwsbGRqHMxsYGaWlpyMzMhImJidI6ISEhmDVrVqH36Txtf751ccaD8yyv61Il33Wi/aILHQsRERG923vVc1MYQUFBSE1NlV53797VdkhERERUjN6rnhtbW1s8fPhQoezhw4ewsLDIs9cGAIyMjGBkZFQS4WlNgb1L871LMBIqCfx9ExEV7L1Kbjw8PPDbb78plB06dAgeHh5aiohU9b58Ib8vcZZ2PI9EpE1avSz1/PlzXLx4ERcvXgTw+lbvixcv4s6dOwBeX1Ly9fWV2o8aNQq3b9/G1KlTcf36daxatQrbt2/HF198oY3wiYiIqBTSanJz9uxZNGzYEA0bNgQABAYGomHDhpgxYwYAICEhQUp0AMDFxQX79+/HoUOHUL9+fYSGhuJ///sfbwMnIiIiiVYvS7Vt2xZCiHzr85p9uG3btrhw4UIxRkVE9P6ru6luvnW8a5N0nc7fLUVEREQfFiY3REREpFOY3BAREZFOYXJDREREOoXJDREREemU92oSPyIi0h28o4uKC3tuiIiISKcwuSEiIiKdwuSGiIiIdAqTGyIiItIpTG6IiIhIpzC5ISIiIp3C5IaIiIh0CpMbIiIi0ilMboiIiEinMLkhIiIincLkhoiIiHQKkxsiIiLSKUxuiIiISKcwuSEiIiKdwuSGiIiIdAqTGyIiItIpTG6IiIhIpzC5ISIiIp3C5IaIiIh0CpMbIiIi0ilMboiIiEinMLkhIiIincLkhoiIiHQKkxsiIiLSKQbaDoCI6H1Sd1PdfOui/aJLMBIiyg97boiIiEinMLkhIiIincLLUh8wdq8TEZEuYnJD9IFgMktEHwomN1SqvQ9fyO9DjO8Lnksi0gSOuSEiIiKdwuSGiIiIdEqpSG5WrlwJZ2dnGBsbo1mzZvj777/zbRsWFgaZTKbwMjY2LsFoiYiIqDTTenKzbds2BAYGIjg4GOfPn0f9+vXh5eWFpKSkfNexsLBAQkKC9IqPjy/BiImIiKg003pys3jxYnz66acICAhArVq1sGbNGpiammLDhg35riOTyWBrayu9bGxsSjBiIiIiKs20mtxkZ2fj3Llz6Nixo1Smp6eHjh074tSpU/mu9/z5czg5OcHR0RG9evXClStX8m2blZWFtLQ0hRcRERHpLq0mN48fP0ZOTo5Sz4uNjQ0SExPzXMfNzQ0bNmzA3r178dNPP0Eul6NFixa4d+9enu1DQkJQrlw56eXo6Kjx4yAiIqLSQ+uXpdTl4eEBX19fNGjQAJ6enti1axesrKywdu3aPNsHBQUhNTVVet29e7eEIyYiIqKSpNVJ/CpVqgR9fX08fPhQofzhw4ewtbVVaRuGhoZo2LAhbt68mWe9kZERjIyMihwrERERvR+02nNTpkwZuLu74/Dhw1KZXC7H4cOH4eHhodI2cnJyEB0dDTs7u+IKk4iIiN4jWn/8QmBgIPz8/NC4cWM0bdoUS5cuRXp6OgICAgAAvr6+qFy5MkJCQgAAs2fPRvPmzVG1alWkpKRg0aJFiI+Px4gRI7R5GERERFRKaD25+fjjj/Ho0SPMmDEDiYmJaNCgAQ4ePCgNMr5z5w709P6/gyk5ORmffvopEhMTYWlpCXd3d5w8eRK1atXS1iEQERFRKaL15AYAxo4di7Fjx+ZZFxUVpbC8ZMkSLFmypASiIiIiovfRe3e3FBEREVFBmNwQERGRTmFyQ0RERDqFyQ0RERHpFCY3REREpFOY3BAREZFOYXJDREREOoXJDREREekUJjdERESkU5jcEBERkU5hckNEREQ6hckNERER6ZRS8eBMKkYzy+Vf51Kl5OIgIiIqIey5ISIiIp3C5IaIiIh0CpMbIiIi0ilMboiIiEinMLkhIiIincLkhoiIiHQKbwUn7ePt6przPpzL9yFGIP8434cYgdIVJ304Ssl7kskNkarehy87Iioc/n3rFF6WIiIiIp3CnhsiIio+peQyhU7guVQZe26IiIhIpzC5ISIiIp3C5IaIiIh0CpMbIiIi0ilMboiIiEinMLkhIiIincLkhoiIiHQKkxsiIiLSKUxuiIiISKcwuSEiIiKdwuSGiIiIdAqTGyIiItIpTG6IiIhIpzC5ISIiIp3C5IaIiIh0SqlIblauXAlnZ2cYGxujWbNm+Pvvvwtsv2PHDtSoUQPGxsaoW7cufvvttxKKlIiIiEo7rSc327ZtQ2BgIIKDg3H+/HnUr18fXl5eSEpKyrP9yZMnMWjQIAwfPhwXLlyAj48PfHx88O+//5Zw5ERERFQaaT25Wbx4MT799FMEBASgVq1aWLNmDUxNTbFhw4Y82y9btgxdunTBlClTULNmTcyZMweNGjXCihUrSjhyIiIiKo0MtLnz7OxsnDt3DkFBQVKZnp4eOnbsiFOnTuW5zqlTpxAYGKhQ5uXlhT179uTZPisrC1lZWdJyamoqACAtLU2lGOVZGfnWpclEnuU5mTn5r6PiftVRmBiBko3zfYgR4O9bU96HGAH+vjXlfYgR4O9bU7QVY24bIfLfh0Ro0f379wUAcfLkSYXyKVOmiKZNm+a5jqGhoYiIiFAoW7lypbC2ts6zfXBwsADAF1988cUXX3zpwOvu3bvvzC+02nNTEoKCghR6euRyOZ4+fYqKFStCJpNpZB9paWlwdHTE3bt3YWFhoZFtatr7ECPwfsTJGDXnfYiTMWrO+xAnY9QcTccphMCzZ89gb2//zrZaTW4qVaoEfX19PHz4UKH84cOHsLW1zXMdW1tbtdobGRnByMhIoax8+fKFD7oAFhYWpfqNBrwfMQLvR5yMUXPehzgZo+a8D3EyRs3RZJzlypVTqZ1WBxSXKVMG7u7uOHz4sFQml8tx+PBheHh45LmOh4eHQnsAOHToUL7tiYiI6MOi9ctSgYGB8PPzQ+PGjdG0aVMsXboU6enpCAgIAAD4+vqicuXKCAkJAQBMmDABnp6eCA0Nhbe3N7Zu3YqzZ89i3bp12jwMIiIiKiW0ntx8/PHHePToEWbMmIHExEQ0aNAABw8ehI2NDQDgzp070NP7/w6mFi1aICIiAtOnT8dXX32FatWqYc+ePahTp462DgFGRkYIDg5WuvxVmrwPMQLvR5yMUXPehzgZo+a8D3EyRs3RZpwyIVS5p4qIiIjo/aD1SfyIiIiINInJDREREekUJjdERESkU5jcEBERkU5hckNUCByHT0RUemn9VnCi95GRkREuXbqEmjVrajsUolIpISEBq1evxvHjx5GQkAA9PT189NFH8PHxgb+/P/T19bUdIukw9twUg7t372LYsGFajSEzMxPHjx/H1atXlepevHiBH3/8UQtRKbt27Ro2btyI69evAwCuX7+Ozz//HMOGDcORI0e0HN3rSSbzeuXk5GD+/PnScmmSnp6OjRs34uuvv8aKFSvw5MkTbYcEADh//jxiY2Ol5fDwcLRs2RKOjo5o1aoVtm7dqsXoXhs3bhyOHTum7TDeacWKFfD19ZXOWXh4OGrVqoUaNWrgq6++wqtXr7Qa39mzZ1GzZk389ttvePnyJWJiYuDu7o6yZcti8uTJaNOmDZ49e6bVGEnHqfDwblLTxYsXhZ6entb2f+PGDeHk5CRkMpnQ09MTbdq0EQ8ePJDqExMTtRpfrgMHDogyZcqIChUqCGNjY3HgwAFhZWUlOnbsKNq3by/09fXF4cOHtRqjTCYTDRo0EG3btlV4yWQy0aRJE9G2bVvRrl07rcZYs2ZN8eTJEyGEEHfu3BHOzs6iXLlyokmTJqJChQrC2tpa3L59W6sxCiFEvXr1xKFDh4QQQqxfv16YmJiI8ePHi9WrV4uJEycKMzMz8cMPP2g1xty/mWrVqon58+eLhIQErcaTlzlz5ghzc3PRt29fYWtrK+bPny8qVqwo5s6dK+bNmyesrKzEjBkztBpjy5YtxcyZM6Xl8PBw0axZMyGEEE+fPhUNGjQQ48eP11Z4SrKyssS2bdvExIkTxcCBA8XAgQPFxIkTxfbt20VWVpa2w3unxMREMWvWLG2HIYQQ4u7du+LZs2dK5dnZ2eLPP/8ssTiY3BTC3r17C3wtWbJEq8mDj4+P8Pb2Fo8ePRIxMTHC29tbuLi4iPj4eCFE6UluPDw8xNdffy2EEGLLli3C0tJSfPXVV1L9tGnTRKdOnbQVnhBCiJCQEOHi4qKUZBkYGIgrV65oKSpFMplMPHz4UAghxJAhQ0SLFi1ESkqKEEKIZ8+eiY4dO4pBgwZpM0QhhBAmJiYiLi5OCCFEw4YNxbp16xTqN2/eLGrVqqWN0CQymUz88ccfYsKECaJSpUrC0NBQ9OzZU/z6668iJydHq7HlcnV1FTt37hRCvP5HSl9fX/z0009S/a5du0TVqlW1FZ4Q4vXv+tatW9JyTk6OMDQ0FImJiUIIIX7//Xdhb2+vrfAUxMTEiI8++kgYGxsLT09PMWDAADFgwADh6ekpjI2NRdWqVUVMTIy2wyyQtv+hFkKIBw8eiCZNmgg9PT2hr68vPvnkE4Ukp6S/d5jcFELuf3cymSzflzbfaNbW1uLy5cvSslwuF6NGjRJVqlQRt27dKjXJjYWFhfShkZOTIwwMDMT58+el+ujoaGFjY6Ot8CR///23qF69upg0aZLIzs4WQpTe5Oajjz4Sv//+u0L9iRMnhKOjozZCU1CxYkVx9uxZIcTr9+jFixcV6m/evClMTEy0EZrkzXOZnZ0ttm3bJry8vIS+vr6wt7cXX331lda/6ExMTKR/VIQQwtDQUPz777/SclxcnDA1NdVGaBInJydx/PhxafnBgwdCJpOJjIwMIYQQsbGxwtjYWFvhKejYsaPo1auXSE1NVapLTU0VvXr1Ep07d9ZCZP/v0qVLBb62bdum9c90X19f0axZM/HPP/+IQ4cOCXd3d9G4cWPx9OlTIcTr5EYmk5VYPExuCsHe3l7s2bMn3/oLFy5o9Y1mbm4url69qlQ+ZswY4eDgIP766y+t/yEI8Tq5uXnzprRsZmam8N9eXFxcqfkAfPbsmfD19RX16tUT0dHRwtDQsFQlN0lJSUKI1+/N6OhohfrSch6HDh0qhg8fLoQQon///mL69OkK9fPmzRN169bVRmiSN5ObN8XHx4vg4GDh5OSk9b8dFxcXceDAASGEEP/995/Q09MT27dvl+r3798vnJ2dtRWeEEKICRMmiDp16ogDBw6II0eOiHbt2om2bdtK9QcPHhSurq5ajPD/mZiYKP3NvOny5culIunO7x/q3HJtvy/t7e3FmTNnpOUXL16IHj16iAYNGognT56U+D/VvFuqENzd3XHu3Dn06tUrz3qZTKbVW4Vr1KghDeh704oVKwAAPXv21EZYSpydnRETEwNXV1cAwKlTp1ClShWp/s6dO7Czs9NWeArMzMywadMmbN26FR07dkROTo62Q1LQoUMHGBgYIC0tDTdu3FB4kGx8fDwqVqyoxeheW7BgAVq2bAlPT080btwYoaGhiIqKQs2aNXHjxg2cPn0au3fv1naYeapSpQpmzpyJ4OBg/PHHH1qNZciQIfD19UWvXr1w+PBhTJ06FZMnT8aTJ08gk8nw7bffol+/flqNce7cuUhISECPHj2Qk5MDDw8P/PTTT1K9TCZDSEiIFiP8f+XLl0dcXFy+D1+Oi4tD+fLlSzaot1SoUAELFy5Ehw4d8qy/cuUKevToUcJRKUpNTYWlpaW0bGRkhF27dqF///5o166dwu+/JDC5KYQpU6YgPT093/qqVavi6NGjJRiRot69e2PLli345JNPlOpWrFgBuVyONWvWaCEyRZ9//rlCkvD2h8uBAwfQvn37kg6rQAMHDkSrVq1w7tw5ODk5aTscAEBwcLDCspmZmcLyr7/+itatW5dkSHmyt7fHhQsXMH/+fPz6668QQuDvv//G3bt30bJlS5w4cQKNGzfWaoxOTk4F3qIsk8nQqVOnEoxI2axZs2BiYoJTp07h008/xbRp01C/fn1MnToVGRkZ6NGjB+bMmaPVGM3MzLBt2za8ePECr169UnpPdu7cWUuRKRsxYgR8fX3xzTffoEOHDrCxsQEAPHz4EIcPH8bcuXMxbtw4rcbo7u6OBw8e5PuZk5KSovW5tz766CNcvnwZ1apVk8oMDAywY8cO9O/fH927dy/RePhUcCIi+qAtWLAAy5YtQ2JiImQyGYDXE3Xa2tpi4sSJmDp1qlbj2717N9LT0zF06NA865OTk/HLL7/Az8+vhCP7f19++SUuXryIyMhIpbpXr16hb9+++PXXXyGXy0skHiY3REREAGJjY5GYmAgAsLW1hYuLi5Yjen+8evUKGRkZsLCwyLf+/v37JdbjzUn8iIiIALi4uMDDwwMeHh5SYlMaJmV9l9IQo4GBQb6JDfB6xupZs2aVWDzsuSEiIsrHpUuX0KhRo1J3E8GbGKMyDigmIqIP1i+//FJg/e3bt0sokvwxRvWx54aIiD5Yenp675y+QyaTabVXhDEWIp4S2QsREVEpZGdnh127dkEul+f5On/+vLZDZIyFwOSGiIg+WLmTsuZH25OyAoyxMDjmhoiIPlilfVJWgDEWBsfcEBERkU7hZSkiIiLSKUxuiIiISKcwuSEiIiKdwuSGiIiIdAqTGyIqdnFxcZDJZLh48aK2Q5Fcv34dzZs3h7GxMRo0aKCVGJydnbF06VKt7JtIlzG5IfoA+Pv7QyaTYf78+Qrle/bsgUwm01JU2hUcHIyyZcvixo0bOHz4cJ5teN6I3k9Mbog+EMbGxliwYAGSk5O1HYrGZGdnF3rdW7duoVWrVnByckLFihXzbaeL541I1zG5IfpAdOzYEba2tggJCcm3zcyZM5Uu0SxduhTOzs7Ssr+/P3x8fDBv3jzY2NigfPnymD17Nl69eoUpU6agQoUKcHBwwMaNG5W2f/36dbRo0QLGxsaoU6cO/vzzT4X6f//9F127doWZmRlsbGzwySef4PHjx1J927ZtMXbsWEycOBGVKlWCl5dXnschl8sxe/ZsODg4wMjICA0aNMDBgweleplMhnPnzmH27NmQyWSYOXNmkc4bAOzcuRO1a9eGkZERnJ2dERoaqlCflJSEHj16wMTEBC4uLti8ebPSNlJSUjBixAhYWVnBwsIC7du3x6VLl6T6S5cuoV27djA3N4eFhQXc3d1x9uzZAuMi+hAxuSH6QOjr62PevHlYvnw57t27V6RtHTlyBA8ePMBff/2FxYsXIzg4GN27d4elpSXOnDmDUaNGYeTIkUr7mTJlCiZNmoQLFy7Aw8MDPXr0wJMnTwC8/mJv3749GjZsiLNnz+LgwYN4+PAhBgwYoLCNTZs2oUyZMjhx4gTWrFmTZ3zLli1DaGgovvvuO1y+fBleXl7o2bMnYmJiAAAJCQmoXbs2Jk2ahISEBEyePDnfY1XlvJ07dw4DBgzAwIEDER0djZkzZ+Kbb75BWFiY1Mbf3x93797F0aNH8fPPP2PVqlVISkpS2E7//v2RlJSEAwcO4Ny5c2jUqBE6dOiAp0+fAgCGDBkCBwcH/PPPPzh37hymTZsGQ0PDfGMn+mAJItJ5fn5+olevXkIIIZo3by6GDRsmhBBi9+7d4s2PgeDgYFG/fn2FdZcsWSKcnJwUtuXk5CRycnKkMjc3N9G6dWtp+dWrV6Js2bJiy5YtQgghYmNjBQAxf/58qc3Lly+Fg4ODWLBggRBCiDlz5ojOnTsr7Pvu3bsCgLhx44YQQghPT0/RsGHDdx6vvb29+PbbbxXKmjRpIkaPHi0t169fXwQHBxe4HVXP2+DBg0WnTp0U1p0yZYqoVauWEEKIGzduCADi77//luqvXbsmAIglS5YIIYQ4duyYsLCwEC9evFDYjqurq1i7dq0QQghzc3MRFhb2jqMnIvbcEH1gFixYgE2bNuHatWuF3kbt2rWhp/f/Hx82NjaoW7eutKyvr4+KFSsq9Ux4eHhIPxsYGKBx48ZSHJcuXcLRo0dhZmYmvWrUqAHg9fiYXO7u7gXGlpaWhgcPHqBly5YK5S1btizSMRd03q5du5bn/mJiYpCTk4Nr167BwMBAIfYaNWqgfPny0vKlS5fw/PlzVKxYUeEcxMbGSscfGBiIESNGoGPHjpg/f77CeSGi/8fkhugD06ZNG3h5eSEoKEipTk9PT+nJvS9fvlRq9/alEJlMlmeZXC5XOa7nz5+jR48euHjxosIrJiYGbdq0kdqVLVtW5W1qUkHnTROeP38OOzs7peO/ceMGpkyZAuD1mKgrV67A29sbR44cQa1atbB79+5iiYfofcanghN9gObPn48GDRrAzc1NodzKygqJiYkQQki3OmtybprTp09LicqrV69w7tw5jB07FgDQqFEj7Ny5E87OzjAwKPxHk4WFBezt7XHixAl4enpK5SdOnEDTpk2LFH9+561mzZo4ceKEQtmJEydQvXp16Ovro0aNGtLxNmnSBABw48YNpKSkSO0bNWqExMREGBgYKAzgflv16tVRvXp1fPHFFxg0aBA2btyI3r17F+m4iHQNe26IPkB169bFkCFD8P333yuUt23bFo8ePcLChQtx69YtrFy5EgcOHNDYfleuXIndu3fj+vXrGDNmDJKTkzFs2DAAwJgxY/D06VMMGjQI//zzD27duoXIyEgEBAQgJydHrf1MmTIFCxYswLZt23Djxg1MmzYNFy9exIQJE4oUf37nbdKkSTh8+DDmzJmD//77D5s2bcKKFSukgcpubm7o0qULRo4ciTNnzuDcuXMYMWIETExMpG107NgRHh4e8PHxwe+//464uDicPHkSX3/9Nc6ePYvMzEyMHTsWUVFRiI+Px4kTJ/DPP/+gZs2aRTomIl3E5IboAzV79myly0Y1a9bEqlWrsHLlStSvXx9///13gXcSqWv+/PmYP38+6tevj+PHj+OXX35BpUqVAEDqbcnJyUHnzp1Rt25dTJw4EeXLl1cY36OK8ePHIzAwEJMmTULdunVx8OBB/PLLL6hWrVqRjyGv89aoUSNs374dW7duRZ06dTBjxgzMnj0b/v7+UpuNGzfC3t4enp6e6NOnDz777DNYW1tL9TKZDL/99hvatGmDgIAAVK9eHQMHDkR8fDxsbGygr6+PJ0+ewNfXF9WrV8eAAQPQtWtXzJo1q8jHRKRrZOLtC+xERERE7zH23BAREZFOYXJDREREOoXJDREREekUJjdERESkU5jcEBERkU5hckNEREQ6hckNERER6RQmN0RERKRTmNwQERGRTmFyQ0RERDqFyQ0RERHplP8D6MgMFAVgKNgAAAAASUVORK5CYII=",
"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": 12,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_77112/2421668426.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": 12,
"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": 17,
"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).set(title='Mean Speedup for the Exploit Parameter\\n Across the Number of Compute Nodes')\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).set(title='Mean Speedup for the Applicable Exploit Parameter\\n Across the Number of Compute Nodes')\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).set(title='Mean Speedup for the Database Load Parameter\\n Across the Number of Compute Nodes')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"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).set(title='Mean Efficiency for the Exploit Parameter\\n Across the Number of Compute Nodes')\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).set(title='Mean Efficiency for the Applicable Exploit Parameter\\n Across the Number of Compute Nodes')\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).set(title='Mean Efficiency for the Database Load Parameter\\n Across the Number of Compute Nodes')\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": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 0.00014215703009013694\n",
" Predictor coefficient\n",
"0 nodes -0.255466\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 0.9457\n",
" Mean Absolute Error (MAE) : 0.4004\n",
" Mean Percentage Error (MPE) : -153.9195\n",
"Mean Absolute Percentage Error (MAPE) : 469.3563\n"
]
}
],
"source": [
"predictors = ['nodes']\n",
"overall_outcome = 'runtime'\n",
"norm_df = (timing_df-timing_df.mean())/timing_df.std()\n",
"# partition data\n",
"X = norm_df[predictors]\n",
"overall_y = norm_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": [
"#### Exploit"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept -0.006679327812999215\n",
" Predictor coefficient\n",
"0 exploit 0.876264\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 0.4366\n",
" Mean Absolute Error (MAE) : 0.1452\n",
" Mean Percentage Error (MPE) : -56.0992\n",
"Mean Absolute Percentage Error (MAPE) : 193.5384\n"
]
}
],
"source": [
"predictors = ['exploit']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = norm_df[predictors]\n",
"overall_y = norm_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": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept 0.00013241619854788668\n",
" Predictor coefficient\n",
"0 appl 0.123285\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 0.9715\n",
" Mean Absolute Error (MAE) : 0.3759\n",
" Mean Percentage Error (MPE) : 93.5442\n",
"Mean Absolute Percentage Error (MAPE) : 116.5608\n"
]
}
],
"source": [
"predictors = ['appl']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = norm_df[predictors]\n",
"overall_y = norm_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": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept -0.007075826820466129\n",
" Predictor coefficient\n",
"0 load -0.183009\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 0.9620\n",
" Mean Absolute Error (MAE) : 0.3813\n",
" Mean Percentage Error (MPE) : 233.9860\n",
"Mean Absolute Percentage Error (MAPE) : 370.4181\n"
]
}
],
"source": [
"predictors = ['load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = norm_df[predictors]\n",
"overall_y = norm_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": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"intercept -0.001661686455377755\n",
" Predictor coefficient\n",
"0 nodes -0.024622\n",
"1 exploit 0.877093\n",
"2 appl 0.128728\n",
"3 load 0.031007\n",
"\n",
"Regression statistics\n",
"\n",
" Mean Error (ME) : 0.0000\n",
" Root Mean Squared Error (RMSE) : 0.4165\n",
" Mean Absolute Error (MAE) : 0.1847\n",
" Mean Percentage Error (MPE) : -112.7836\n",
"Mean Absolute Percentage Error (MAPE) : 284.0935\n"
]
}
],
"source": [
"predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = norm_df[predictors]\n",
"overall_y = norm_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": [
"# Nonlinear Regression"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Random Forest"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Nodes"
]
},
{
"cell_type": "code",
"execution_count": 20,
"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.xlabel('Nodes')\n",
"plt.ylabel('Runtime (ms)')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exploit"
]
},
{
"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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m5jq9npycrKCgIKfDJxEREU69uCMmJkYDBw7UsmXLtGXLFklSr1699M0332jZsmWF6tPT0x29derUSefOndPbb7/teD0/P1/Tp093efu9evVSXl6e/vrXvxZ6LTc31/H9/frrr4X2WcHZcgX7pGD/FQgKClLTpk2dai7UsmVLxcXF6e9//7tTzZIlS7Rz50516dLF5e8F8KWAGYkpycGDBzVjxgwdPHhQNWvWlCQ9+eSTWrp0qWbMmKEXXnhB+/bt04EDBzRnzhy9++67ysvL04gRI3TnnXe6fFoqrGnUqFG66667NHPmTA0aNEi33Xab5s2bp9tvv11dunRRamqq/v73v6tx48Y6ffq0W9uYMGGCunTponbt2mnAgAE6efKkpk2bpiuvvNJpnV27dlXHjh319NNPa//+/brqqqu0fPlyLVy4UMOHD3fr9GFPmzRpkjp37qy2bdvqwQcfdJxiHR0drfHjx1/0/UlJSXr++ec1duxY7d+/Xz169FDlypWVmpqq+fPn65FHHtGTTz6pL7/8UkOGDNFdd92lBg0aKDc3V++9956Cg4N1xx13ONbXokULrVixQq+88opq1qypunXrOiYyl8awYcM0depUvfjii5o9e7ZGjRqlRYsW6bbbblO/fv3UokULnTlzRtu2bdPcuXO1f/9+xcbGqkePHmrdurWeeOIJ7dmzR40aNdKiRYscfwC5MlJ0/fXXa+DAgZowYYK2bNmim2++WRUrVtTu3bs1Z84cvfrqq7rzzjs1a9YsvfHGG7r99tuVlJSkU6dO6e2331ZUVJQjQBb88XXDDTeoVq1aOnDggKZNm6ZmzZo55lZdqGLFinrppZfUv39/XX/99erdu7fjFOs6depoxIgRpd6fgE/467Qob5Jk5s+f73hecJpgRESE06NChQqmV69exhhjHn74YSPJ7Nq1y/G+TZs2GUnmv//9r6+/BXhYwanDRZ2ampeXZ5KSkkxSUpLJzc01+fn55oUXXjC1a9c2oaGhpnnz5mbx4sWmb9++TqdDF5yuO2nSpELrlGTGjRvntOzjjz82f/jDH0xoaKhp3LixmTdvXqF1GmPMqVOnzIgRI0zNmjVNxYoVTf369c2kSZNMfn5+oW0MHjzYaVlxPRWcUnux05VL2k/nW7Fihbn22mtNeHi4iYqKMl27djU7duxwqik4xfrYsWNFruPjjz827dq1c/x7bNSokRk8eLDj3+C+ffvMgAEDTFJSkgkLCzNVq1Y1HTt2NCtWrHBaz3//+19z3XXXmfDwcCOpxNOtS/qZGWNMv379THBwsONU9lOnTpmxY8eaevXqmZCQEBMbG2v++Mc/mpdfftnk5OQ43nfs2DFz7733msqVK5vo6GjTr18/s27dOiPJzJ4921HXt29fExERUWx///jHP0yLFi1MeHi4qVy5sklOTjajR482P//8szHGmO+//9707t3bJCYmmtDQUBMXF2duu+02s3HjRsc65s6da26++WYTFxdnQkJCTGJiohk4cKA5fPiwo+bCU6wLfPTRR6Z58+YmNDTUVK1a1fTp08f89NNPTjXFfQ8FP2/Al2zG+GGmn5fZbDbNnz/fcS+Vjz76SH369NF//vOfQhPSIiMjVb16dY0bN04vvPCC02mLWVlZqlSpkpYvX66bbrrJl98CAItbsGCBbr/9dq1du1bXXnutv9sBAlK5OJzUvHlz5eXl6ejRo45reFzo2muvVW5urvbu3esYsv/xxx8l+X8yJYCyLSsry2lCbl5enqZNm6aoqChdffXVfuwMCGwBE2JOnz7tdDZAamqqtmzZoqpVq6pBgwbq06ePHnjgAU2ePFnNmzfXsWPH9MUXX6hp06bq0qWLUlJSdPXVV2vAgAGaOnWq8vPzNXjwYN10001un0oJoHwYOnSosrKy1LZtW2VnZ2vevHn6+uuv9cILL7h0thEA9wTM4aRVq1apY8eOhZb37dtXM2fO1Llz5/T888/r3Xff1aFDhxQbG6trrrlGzz33nJKTkyVJP//8s4YOHarly5crIiJCnTt31uTJk52uTAoAF/rggw80efJk7dmzR7/99pvq1aunRx99VEOGDPF3a0BAC5gQAwAAypdyc50YAAAQWAgxAADAkiw9sTc/P18///yzKleu7JFLjwMAAO8zxujUqVOqWbNmoXuJlYalQ8zPP/9c6G69AADAGtLS0i7pZq6WDjEFN8hLS0tTVFSUn7sBAACuyMzMVEJCgtONbt1h6RBTcAgpKiqKEAMAgMVc6lQQJvYCAABLIsQAAABLIsQAAABLIsQAAABLIsQAAABLIsQAAABLIsQAAABLIsQAAABLIsQAAABLsvQVewEAgJfk5EhvvCHt3SslJUmPPSaFhPi7KyeEGAAA4Gz0aOmVV6S8vN+XPfmkNHKkNHGi//q6ACEGAAD8bvRoadKkwsvz8n5fXkaCjM0YY/zdhLsyMzMVHR2tjIwMbgAJAMClysmRwsOl/Pzia4KCpKysSzq05KnPbyb2AgAAu2nTSg4wkv31adN8089FEGIAAIDdV195ts7LCDEAAMDu0CHP1nkZIQYAANhdfrln67yMEAMAAOyuv96zdV7G2UkAAMCOs5MAAIAlhYRITzxRcs0TT5SZK/dysTsAAPC7ggvZTZ7sPCITFGQPMGXkQncSh5MAAEBRvHjvJE99fjMSAwAACgsJkYYP93cXJSozc2JefPFF2Ww2DS/jOwwAAJQNZSLEbNiwQW+99ZaaNm3q71YAAIBF+D3EnD59Wn369NHbb7+tKlWq+LsdAABgEX4PMYMHD1aXLl2UkpLi71YAAICF+HVi7+zZs/X9999rw4YNLtVnZ2crOzvb8TwzM9NbrQEAgDLObyMxaWlpGjZsmN5//32FhYW59J4JEyYoOjra8UhISPBylwAAoKzy23ViFixYoNtvv13BwcGOZXl5ebLZbAoKClJ2drbTa1LRIzEJCQlcJwYAAAux/HVibrzxRm3bts1pWf/+/dWoUSP96U9/KhRgJCk0NFShoaG+ahEAAJRhfgsxlStXVpMmTZyWRURE6LLLLiu0HAAA4EJ+PzsJAADAHWXqtgOrVq3ydwsAAMAiGIkBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACWRIgBAACFZWVJQ4ZInTrZv2Zl+bujQggxAADAWY8eUqVK0vTp0vLl9q+VKtmXlyGEGAAA8LsePaSFC4t+beHCMhVkCDEAAMAuK6v4AFNg4cIyc2iJEAMAAOyeeMKzdV5GiAEAAHbr13u2zssIMQAAwJIIMQAAwC4lxbN1XkaIAQAAdjfd5Nk6LyPEAAAAuw4dpMsuK7nmssvsdWUAIQYAANgFB0v/+EfJNf/4h72uDCDEAACA3/XsKX38sXT55c7La9WyL+/Z0z99FaGCvxsAAABlTM+eUvfu0po10uHDUo0aUvv2ZWYEpgAhBgAAFBYcXGbmvhSHw0kAAMCSCDEAAMCSCDEAAMCSCDEAAMCSCDEAAMCSCDEAAMCSCDEAAMCSCDEAAMCSCDEAAMCSCDEAAMCSCDEAAMCSCDEAAMCSCDEAAMCSCDEAAMCSCDEAAMCS/Bpi3nzzTTVt2lRRUVGKiopS27ZttWTJEn+2BAAALMKvIaZWrVp68cUXtWnTJm3cuFE33HCDunfvrv/85z/+bAsAAFiAzRhj/N3E+apWrapJkybpwQcfvGhtZmamoqOjlZGRoaioKB90BwAALpWnPr8reLCnS5KXl6c5c+bozJkzatu2bZE12dnZys7OdjzPzMz0VXsAAKCM8fvE3m3btikyMlKhoaEaNGiQ5s+fr8aNGxdZO2HCBEVHRzseCQkJPu4WAACUFX4/nJSTk6ODBw8qIyNDc+fO1TvvvKPVq1cXGWSKGolJSEjgcBIAABbiqcNJfg8xF0pJSVFSUpLeeuuti9YyJwYAAOvx1Oe33w8nXSg/P99ptAUAAKAofp3YO3bsWHXu3FmJiYk6deqUPvjgA61atUrLli3zZ1sAAMAC/Bpijh49qgceeECHDx9WdHS0mjZtqmXLlummm27yZ1sAAMAC/Bpi/vnPf/pz8wAAwMLK3JwYAAAAVxBiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJVVw502pqalas2aNDhw4oLNnz6patWpq3ry52rZtq7CwME/3CAAAfC0vT1qzRjp8WKpRQ2rfXgoO9ndXTkoVYt5//329+uqr2rhxo+Lj41WzZk2Fh4fr5MmT2rt3r8LCwtSnTx/96U9/Uu3atb3VMwAA8KZ586Rhw6Sffvp9Wa1a0quvSj17+q+vC7h8OKl58+Z67bXX1K9fPx04cECHDx/Wpk2btHbtWu3YsUOZmZlauHCh8vPz1bJlS82ZM8ebfQMAAG+YN0+6807nACNJhw7Zl8+b55++imAzxhhXCpctW6ZOnTq5tNITJ05o//79atGixSU1dzGZmZmKjo5WRkaGoqKivLotAEDpGCNlZPi7C5RKXp7UtKn08yHHooo6pwidtT+x2ewjMqmpl3RoyVOf3y6HmLKIEAMAZZMx0nXXSWvX+rsTXKoHNEuz1M954cqVUocObq/TU5/fbp2d9P3332vbtm2O5wsXLlSPHj301FNPKScnx+1mAACBITeXABPQDh/2dweS3Dw7aeDAgRozZoySk5O1b98+3XPPPbr99ts1Z84cnT17VlOnTvVwmwAAq/rlF6lKFX93AZd8+aV0i/PUEZuKOGATF+ejhkrmVoj58ccf1axZM0nSnDlzdN111+mDDz7QunXrdM899xBiAKCcO3+iQkiIVLGi/3pBKVQwknL93YXL3DqcZIxRfn6+JGnFihW69dZbJUkJCQk6fvy457oDAAC+c/SoZ+u8zK0Q07JlSz3//PN67733tHr1anXp0kWS/SJ48fHxHm0QAGA954/E2Gz+6wOlFBPj2TovcyvETJ06Vd9//72GDBmip59+WvXq1ZMkzZ07V3/84x892iAAAPCRRYs8W+dlbs2Jadq0qdPZSQUmTZqk4DJ2SWIAgO8xEmNR+/Z5ts7LLvkGkKdPn1ZmZqYyMzOVk5OjrKwsT/QFAAB8rX59z9Z5mVshJjU1VV26dFFERISio6NVpUoVValSRTExMarCeXQAUO4xEmNRkyZ5ts7L3DqcdN9998kYo3/961+Kj4+Xjd9QAACsLzxc6t5dWriw+Jru3e11ZYBbIWbr1q3atGmTGjZs6Ol+AAABhr9zLWbBAqlHj6KDTPfu9tfLCLcOJ7Vq1UppaWme7gUAECCse1c+SLIHlbNnpcGDpZtvtn89e7ZMBRjJzZGYd955R4MGDdKhQ4fUpEkTVbzgUoxNmzb1SHMAAMBPwsOl11/3dxclcivEHDt2THv37lX//v0dy2w2m4wxstlsysvL81iDAADrYWIvfMGtEDNgwAA1b95cH374IRN7AQCAX7gVYg4cOKBFixY5rtQLAMD5GImBL7g1sfeGG27Q1q1bPd0LAACAy9waienatatGjBihbdu2KTk5udDE3m7dunmkOQCANTESA1+wGVP6E+GCgoofwPHlxN7MzExFR0crIyNDUVFRPtkmAODiTp2SCv63fPZsmbk2GsoIT31+uzUSk5+f7/YGAQDlCyMx8JZLvgEkAAAX4mJ38AWXQ8zs2bNdXmlaWprWrVvnVkMAAACucDnEvPnmm/rDH/6giRMnaufOnYVez8jI0GeffaZ7771XV199tU6cOOHRRgEA1sHEXviCy3NiVq9erUWLFmnatGkaO3asIiIiFB8fr7CwMP366686cuSIYmNj1a9fP23fvl3x8fHe7BsAAJRzbp2ddPz4ca1du1YHDhxQVlaWYmNj1bx5czVv3rzEM5c8jbOTAKBsSk+XqlSx/3d2thQS4td2UMb49eyk2NhY9ejRw+2NAgAAXCrOTgIAeBxzYuALhBgAAGBJhBgAgFcxEgNvIcQAADyOi93BFy4pxOTk5GjXrl3Kzc31VD8AAAAucSvEnD17Vg8++KAqVaqkK6+8UgcPHpQkDR06VC+++KJHGwQAWA8Te+ELboWYsWPHauvWrVq1apXCwsIcy1NSUvTRRx95rDkAAIDiuHWdmAULFuijjz7SNddcI9t5EfvKK6/U3r17PdYcAMCaGImBL7gVYo4dO6a4uLhCy8+cOeMUagDALXl50po10uHDUo0aUvv2UnCwv7sCUMa4dTipZcuW+vTTTx3PC4LLO++8o7Zt23qmMwDl07x5Up06UseO0r332r/WqWNfDstgJAa+4NZIzAsvvKDOnTtrx44dys3N1auvvqodO3bo66+/1urVqz3dI4DyYt486c47C5+f+9NP9uVz50o9e/qnNwBljlsjMe3atdOWLVuUm5ur5ORkLV++XHFxcfrmm2/UokULT/cIoDzIy5OGDSv+AiPGSMOH2+tgKYzEwFvcGomRpKSkJL399tue7AVAebZmjX3EpSRpafa6Dh180hLcx8Xu4AtuhxhJOnr0qI4ePar8/Hyn5U2bNr2kpgCUQ6mprtcRYgDIzRCzadMm9e3bVzt37pS5IG7bbDblMdwLoLT++U/X6/r3924vuGSMxMAX3AoxAwYMUIMGDfTPf/5T8fHxnFYN4NJlZHi2DkDAcyvE7Nu3Tx9//LHq1avn6X4AlFf16knbt7tWhzKvYCSGv3HhTW6dnXTjjTdq69atl7zxCRMmqFWrVqpcubLi4uLUo0cP7dq165LXC8CC3nvPs3UAAp5bIzHvvPOO+vbtq+3bt6tJkyaqWLGi0+vdunVzaT2rV6/W4MGD1apVK+Xm5uqpp57SzTffrB07digiIsKd1gBYVWSk1KqVtGFD8TWtWtnrUOYxEgNfsJkLZ+a64JNPPtH999+vzMzMwiu8hIm9BbczWL16ta677rqL1mdmZio6OloZGRmKiopya5sAypjWrYsOMq1aSevX+74fuOXwYalmTSkoiEv7oDBPfX67dThp6NChuu+++3T48GHl5+c7PS7lzKSM/03Yq1q1apGvZ2dnKzMz0+kBIMCsXy+dOiX16CElJ9u/njpFgLEoRmLgTW6NxFSuXFlbtmxRUlKSxxrJz89Xt27dlJ6errVr1xZZM378eD333HOFljMSAwBly88/S5dfbr9vZ26uv7tBWePXkZiePXtq5cqVbm+0KIMHD9b27ds1e/bsYmvGjh2rjIwMxyMtLc2jPQAAAOtwa2JvgwYNNHbsWK1du1bJycmFJvY+/vjjpVrfkCFDtHjxYn311VeqVatWsXWhoaEKDQ11p2UAgA8xsRe+4NbhpLp16xa/QptN+/btc2k9xhgNHTpU8+fP16pVq1S/fv1S9cHEXgAomw4dkmrVkipUkM6d83c3KGs89fnt1khMqqv3OLmIwYMH64MPPtDChQtVuXJlHTlyRJIUHR2t8PBwj2wDAOB7jMTAF9yaE+Mpb775pjIyMtShQwfVqFHD8fjoo4/82RYAALAAl0diRo4cqb/+9a+KiIjQyJEjS6x95ZVXXFqnG0eyAAAWwEgMfMHlELN582ad+9+Bzc2bN3utIQAAAFe4HGLOP6Xa06dXAwACCyMx8AW35sQMGDBAp06dKrT8zJkzGjBgwCU3BQAAcDFuhZhZs2YpKyur0PKsrCy9++67l9wUAADAxZTqFOvMzEwZY2SM0alTpxQWFuZ4LS8vT5999pni4uI83iQAwFo4nARfKFWIiYmJkc1mk81mU4MGDQq9brPZiry3EQAAgKeVKsSsXLlSxhjdcMMN+vjjj53uNh0SEqLatWurZs2aHm8SAGAtjMTAF0oVYq6//npJ9iv2JiQkKCjIr9fKAwAA5Zhbtx2oXbu20tPTtX79eh09elT5+flOrz/wwAMeaQ4AYE2MxMAX3Aoxn3zyifr06aPTp08rKipKtvN+S202GyEGAAB4nVvHg5544gkNGDBAp0+fVnp6un799VfH4+TJk57uEQBgMYzEwBfcCjGHDh3S448/rkqVKnm6HwAAAJe4FWI6deqkjRs3eroXAECAYSQG3uTWnJguXbpo1KhR2rFjh5KTk1WxYkWn17t16+aR5gAA1lRwOAkWdvq0dP/90t69UlKS9N57UmSkv7tyYjOm9L9qJZ1abbPZlJeXd0lNuSozM1PR0dHKyMhQVFSUT7YJwAcyMqQuXaSDB6XEROnTT6XoaH93hVLYu1eqV8/+mVfErfZQ1rVuLW3YUHh5q1bS+vWXvHpPfX67NRJz4SnVAOAx9erZPwELpKVJMTH2vwT37PFbWygdJvZaWHEBRrIvb93aI0HGE7haHYCy48IAc76CP+0BeM/p08UHmAIbNtjrygC3RmL+8pe/lPj6s88+61YzAMqxjIziA0yBvXvtdRxaKvMYibGoPn1cr1u40Lu9uMCtEDN//nyn5+fOnVNqaqoqVKigpKQkQgyA0uvSxfW6tWu92wtQXm3b5tk6L3MrxGzevLnQsszMTPXr10+33377JTcFoBw6eNCzdfArRmIsqmpVKTXVtboywGNzYqKiovTcc8/pmWee8dQqAZQniYmerQNQes8959k6L/PoxN6MjAxlZGR4cpUAyotPP/VsHcoERmIs5pZbpAuu/VZIxYr2ujLArcNJr732mtNzY4wOHz6s9957T507d/ZIYwDKmeho+2nUJU3uTUpiUq9FcLE7iwoOlmbPlu64o/ia2bPtdWWAWyFmypQpTs+DgoJUrVo19e3bV2PHjvVIYwDKoT17ij/NmuvEAL7Rs6f08cfSkCHS4cO/L69ZU5o2zf56GeFWiEktYdJPVlaW280AgPbs4Yq9AYCJvRbXs6fUvbu0Zo09yNSoIbVvX2ZGYAq4FWKKkp2drenTp2vixIk6cuSIp1YLoDyKjuY0asDfgoOlDh383UWJSjWxNzs7W2PHjlXLli31xz/+UQsWLJAk/etf/1LdunU1ZcoUjRgxwht9AgAshJEY+EKpRmKeffZZvfXWW0pJSdHXX3+tu+66S/3799e3336rV155RXfddZeCy9hQEwAACEylCjFz5szRu+++q27dumn79u1q2rSpcnNztXXrVtmI2wCA/2EkBr5QqsNJP/30k1q0aCFJatKkiUJDQzVixAgCDAAA8LlShZi8vDyFhIQ4nleoUEGRkZEebwoAEBj4GxfeVKrDScYY9evXT6GhoZKk3377TYMGDVJERIRT3bx58zzXIQDAcrjYHXyhVCGmb9++Ts/vu+8+jzYDAADgqlKFmBkzZnirDwBAAGFiL3zBozeABAAA8BVCDADA4xiJgS8QYgAAgCURYgAAHsdIDHyBEAMAACyJEAMA8BpGYuBNhBgAgMdxsTv4AiEGAABYEiEGAOBxTOyFLxBiAACAJRFiAAAex0gMfIEQAwAALIkQAwDwOEZi4AuEGAAAYEmEGABlT0aG1K6dlJho/5qR4e+O4CZGYuBNFfzdAIDSy8+Xbr5ZWrvW3514QU62ZEIlrbA/T5MUI8mWLYWE+q8vlEp+vr87QHlAiAEs6Ngx6Ysv/N2FtxQTVIykbJ82Ag9o3drfHSCQEWIACzp/0uT+/X5txXMyM6XkJhev27Zdioryfj+4ZDabVKuWv7tAICPEABZ0fohJTPRvLx7T7lbZjx1dxKBbA/Q4GoDSYmIvYEEBefrqwYOerQMQ8AgxgAUFZIhxdUgpYIaeAFwqQgxgYQEVYj791LN1AAIeIQawoIKRmIASHS0lJZVck5RkrwMAEWIASwrIw0mStGdP8UEmKcn+OgD8DyEGsKCADTGSPaikp0vXXislJNi/pqcTYAAUwinWgAUFdIiR7IeMOI0awEUwEgNYWMCGGABwASEGsKCAnNgLAKVEiAEsKOAPJwGACwgxgAURYgCAEANYEiEGAAgxCEQZGVK7dvbL07drZ38eYAgxAMAp1gg09epJe/f+/jwtTYqJ4UJpABCAGIlB4LgwwJxv71776wGCkRgAIMQgUGRkFB9gCuzdGzCHlggxAODnEPPVV1+pa9euqlmzpmw2mxYsWODPdmBlXbp4tq6MI8QAgJ9DzJkzZ3TVVVdp+vTp/mwDgeDgQc/WlXGEGADw88Tezp07q3Pnzv5sAYEiMdE+ideVugBAiAEAi52dlJ2drezsbMfzzMxMP3aDMuXTT+1nIblSBwAICJaa2DthwgRFR0c7HgkJCf5uCWVFdLT9NOqSJCXZ6wIAIzEAYLEQM3bsWGVkZDgeaa4cPkD5sWdP8UEmwK4TQ4gBAIsdTgoNDVVoaKi/20BZtmeP/TTqLl3sk3gTE+2HkAJkBKYAIQYALBZiAJdER0tr1/q7C68ixACAn0PM6dOntee8If7U1FRt2bJFVatWVWKAnEUCAAC8w68hZuPGjerYsaPj+ciRIyVJffv21cyZM/3UFVD2MRIDAH4OMR06dJAp+L8xAJcRYgB4XU6O9MYb9lu2JCVJjz0mhYT4uysnzIkBLCjgQ0xenrRmjXT4sFSjhtS+vRQc7O+ugPJj9Gjp5Zd//5+NJI0cKT35pDRxov/6ugAhBoGnHHwABnSImTdPevxx6dCh35ddfrn02mtSz57+6wsoL0aPliZNKrzcmN+Xl5EgY6nrxAAXNW+e/bTqjh2le++1f01MtC8PIAF7FHbePOmOO5wDjGR/fscdAfdzBMqcnJyiA8z5Jk2y15UBhBgEjoIPwJ9/dl7+888B+wEYUCMxeXnSPfeUXNO7t70OgHdMnerZOi8jxCAwlLMPwIA8nLR8uXTuXMk1OTn2OgDe8d57nq3zMkIMAsOyZa59AC5b5pt+vCwgQ8yzz3q2DkDpuXqYiMNJgAeVsw/AgAwxJ054tg5A6d1wg2frvIwQg8Bw8qRn68q4gJzY27SpZ+sAlN4rr3i2zssIMQgMycmerSvjAnIk5v/+z7N1AEovPFzq3r3kmu7d7XVlACEGgeH99z1bZxEBFWIiI6VWrUquadXKXgfAexYsKD7IdO9uf72MIMQgMJSzD8CAHImRpPXri/85tmplfx2A9y1YIJ09Kw0eLN18s/3r2bNlKsBIXLEXgWT9eql1a2nDhsKvBdgHYMCGGMn+czp9Wrr//t/v2fLeewETQAHLCA+XXn/d312UiBCDwFJOPgADcmLv+SIjpfnz/d0FgDKOEIPAUw4+AAN6JAYAXMScGMDCCDEAyjNCDGBBjMQAACEGsCRCDAAQYgBLCviJvQDgAkIMAs/p09Ltt9svT3/77fbnAYaRGADg7CQEmguvE7Ntm1S5MteJAYAAxEgMAkdxF7qT7Mtbt/ZtPz5AiAFQnhFiEBhOny4+wBTYsCFgDi0xEgMAhBgEinvv9WxdGcfEXgAgxCBQbN/u2boyjpEYACDEIFBUqeLZujKOEAMAhBgEiuee82xdGUeIAQBCDAJF585SxYol11SsaK8LIIQYAOUZ14mBTyxdKj31lJSd7a0tBEvxx6Wf0ooviU+QmgZ7qwGfKjjJihADoDwjxMAn/vUvafNmb28lStKVxb/8k7e373t16/q7AwDwH0IMfCI31/51xAipWzcvbywvz36l3hMnpMsuk5KTpeDAGIE5X1BQQF6/DwBcRoiBTxRMRG3USOrQwdtbC5ZubObtjQAA/IwQUx7l5Ulr1kiHD0s1akjt23t9pIKzaQAAnkaIKW/mzZOGDZN+Om+CSK1a0quvSj17em2z+fn2r0GcDwcA8BA+UsqTefOkO+90DjCSdOiQffm8eV7bNCMxAABPI8SUF3l59hGYom66U7Bs+HB7nRcwEoNSycqShgyROnWyf83K8ndHAMogPlLKizVrCo/AnM8YKS3NXucFPh2JyciQ2rWTEhPtXzMyfLBReEyPHlKlStL06dLy5favlSrZlwPAeQgx5cXhw56tK6WCkRivh5h69aSYGGndOnsoW7fO/rxePS9vGB7Ro4e0cGHRry1cSJAB4IQQU17UqOHZulIqGInx6uGkevWkvXuLfm3vXoJMWZeVVXyAKbBwIYeWADgQYsoLV06jDg6213mB1w8nZWQUH2AK7N3LoaWybORIz9YBCHiEmPLi9OmLT9rNy/v9pjwe5vWJvV26eLYOvrdypWfrAAQ8Qkx54ecPea+PxBw86Nk6+N7F7kJe2joAAY8QU174+UPe6xN7ExM9Wwffu/9+z9YBCHiEmPLCzx/yXp/Y++mnnq2D7w0f7tk6AAGPEFNe+PlD3usjMdHRUlJSyTVJSfY6lE0hIdKoUSXXjBplrwMAEWLKj8hI185Oioz0yuZ9crG7PXuKDzJJSfbXUbZNnFh8kBk1yv46APwPIaa8WLPGtbOTvHzFXq/fdmDPHik9Xbr2Wikhwf41PZ0AYyUTJ0rZ2dKUKfZbDkyZYn9OgAFwAe5iXV6Ulyv2SvZDRmvX+mBD8JqQEOa+ALgoRmLKi8qVPVtXSj4biQEAlBt8pJQXEyZ4tq6UfDoSAwAoFzic5EkFc0oOH7bfg8iVS/37SlqaZ+tKyad3sQYAlAuEGE+ZN08aNkz66affl9WqJb36qtSzZ8nv9UX4SUx0LaB46ToxXr/tAACg3OEjxRPmzZPuvNM5wEjSoUP25fPmlfzeOnWkjh2le++1f61Tp+T3uMPP14nx6UhMTo40dao0dKj9a06ODzYKAPA1Qsylysuzj8AUfEqfzxj7Y/jwok9vvpTwU1qufpB76QPfZxN7R4+WwsKkESOk11+3fw0Lsy8HAAQUQsylWrOmcAi5UFpa4euvXEr4cUfLlp6tKyWfTOwdPVqaNKnwPjXGvpwgAwABhRBzqdydMOtu+HFXoE/szcmxB5WSTJrEoSUACCCEmEvl6kXVLqzbu9e197ladzGupgcvpQyvT+ydOtWzdQCAMo8Qc6nWrXOvztcfumXkLtZeG4l57z3P1gEAyjxCzKU6d869uvR0197nat3FuHrKtpeua+P1kRg/T1wGAPgeIeZSXX+9e3UJCa69z9W6izlxwrN1peT1kZgbbvBsHQCgzCPElNaF1yDp2NG19910k/PzoUNde5+rdRcTG+vZulLyeoh55RXP1gEAyjyu2Fsao0dLkyf/fmykNP78Z+muu35/Pn68a+8bP17q3bvYl5ctk5YscWE9ZoqkPS7U1ZOGu9Zaafzyi/2r1w4nhYdL3btLCxcWX9O9u70OABAQCDGuKrgGibuOHnV+/uuvrr3vInX33iudPOnKim5zbXt7Jb3qWqk7oqO9t24tWCD16FF0kOne3f46ACBgEGJc4co1SFxZx/kSEqRjxy7+vhLmxBjze4AZNkyKiChhPS/87eLbKvDU067XlkK9elKTJl5Z9e8WLJCysqRRo6Tdu6X69e0/O0ZgACDg2Iwp6pKx1pCZmano6GhlZGQoKirKexsaP1567rlLW4fN5nwYqlo16fjxi78vNrbYsJOdbb+ivmQ/ianEUY7STEax7q8EAMACPPX5zcTei8nKkp5//tLXc2EwcCXAXKTut99+/++CMFOs6tVd256rdQAA+BkhpiQ9ekiVKnnu/kUedn6ICQm5SLG717MBAKCMYk5Mcbp1kz75xHPrq1hRr712/t0HPnL9vb2KXnz2rP1rWJgLR4sKii/G1ToAAPyMEFOU4cNdDjDLdLOGapqyVPLE0ePnYvXbsPOXFJNMijKn5Jdr1nRhHa6eFu7O6eMAAPgBIeZCo0dLr7p+jvG7ekC71aBUm5g2TdLQIaV4w+slvnzjjS6so0IF+0xgV+oAALAAzk46X06OFBpa7MsL1F3zdbvTsi90ow6plv6qP+tWfVbi6m3ff68rr/zf/BVfny3E2UkAgDLCU5/fZeLP7unTp2vSpEk6cuSIrrrqKk2bNk2tW7f2fSMlBBgjqb9mKF1Viny9g1bpam0uef3NL6E3AADgxO8h5qOPPtLIkSP197//XW3atNHUqVPVqVMn7dq1S3Fxcb5rZPXqIhf/W3epr2bpt/PmvLyoPylIv88dqaWfdK3Web1FAADwO78fTmrTpo1atWql11+3z/vIz89XQkKChg4dqjFjxpT4Xo8eTjrvcEuOKmqt2ulB/VP7Vdep7Hqt0iq5eNPHC52/q319eCciwrUzjypVks6cufTtAQBQjIC42F1OTo42bdqklJQUx7KgoCClpKTom2++KVSfnZ2tzMxMp4c3TNdg3agvnQLMGrXTL4rTl7rBK9v0OldHtXw5+gUAwCXwa4g5fvy48vLyFB8f77Q8Pj5eR44cKVQ/YcIERUdHOx4JJdxX6FK001rF6pi6aLHe1706q3C10zrF6ZiC5OaoSMWKzs/r1HHtfa7WXcygQZ6tAwDAzyx1xd6xY8cqIyPD8UhLS/PKdlpqo44qTovVVffqQ4Xrt4u/6WL27HF+vmmTa+9zte5iRozwbB0AAH7m1xATGxur4OBg/fLLL07Lf/nlF1Uv4h4+oaGhioqKcnp4g+1/D4+pUEFKTHReVrWqdMEIVCHx8fY6TwgJsd/ZuSSjRrlw/wIAAMoGv4aYkJAQtWjRQl988YVjWX5+vr744gu1bdvWt81c6uTZoGJ2ZYUKxd+P6MiR4oNMfLz9dU+aONEeVC7sNTjYvnziRM9uDwAAL/L74aSRI0fq7bff1qxZs7Rz5049+uijOnPmjPr37+/7ZtwJMiEh0scf228SeeCAFBlpDwmRkfbnF7uh4pEj0okTUpMm9lGXJk3szz0dYApMnGi/M/eUKdKQIfavZ88SYAAAluP368TcfffdOnbsmJ599lkdOXJEzZo109KlSwtN9vUZY4o//blKFWnLFmnfPunwYalGDal9e/tIhmQ/ZHTqVOm3WbWqtG2b2y2XWkiI/f5QAABYmN+vE3MpPH7bAQAA4HUBcZ0YAAAAdxFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJRFiAACAJfn9tgOXouBiw5mZmX7uBAAAuKrgc/tSbxpg6RBz6n/3KUpISPBzJwAAoLROnTql6Ohot99v6Xsn5efn6+eff1blypVlK+6mjW7KzMxUQkKC0tLSuC+Tl7GvfYv97Vvsb99if/vOpexrY4xOnTqlmjVrKijI/Zktlh6JCQoKUq1atby6jaioKP4h+Aj72rfY377F/vYt9rfvuLuvL2UEpgATewEAgCURYgAAgCURYooRGhqqcePGKTQ01N+tBDz2tW+xv32L/e1b7G/fKQv72tITewEAQPnFSAwAALAkQgwAALAkQgwAALAkQgwAALAkQkwRpk+frjp16igsLExt2rTR+vXr/d1SmfPVV1+pa9euqlmzpmw2mxYsWOD0ujFGzz77rGrUqKHw8HClpKRo9+7dTjUnT55Unz59FBUVpZiYGD344IM6ffq0U80PP/yg9u3bKywsTAkJCZo4cWKhXubMmaNGjRopLCxMycnJ+uyzzzz+/frThAkT1KpVK1WuXFlxcXHq0aOHdu3a5VTz22+/afDgwbrssssUGRmpO+64Q7/88otTzcGDB9WlSxdVqlRJcXFxGjVqlHJzc51qVq1apauvvlqhoaGqV6+eZs6cWaifQP/38eabb6pp06aOC3i1bdtWS5YscbzOvvaeF198UTabTcOHD3csY3971vjx42Wz2ZwejRo1crxuuf1t4GT27NkmJCTE/Otf/zL/+c9/zMMPP2xiYmLML7/84u/WypTPPvvMPP3002bevHlGkpk/f77T6y+++KKJjo42CxYsMFu3bjXdunUzdevWNVlZWY6aW265xVx11VXm22+/NWvWrDH16tUzvXv3dryekZFh4uPjTZ8+fcz27dvNhx9+aMLDw81bb73lqFm3bp0JDg42EydONDt27DB//vOfTcWKFc22bdu8vg98pVOnTmbGjBlm+/btZsuWLebWW281iYmJ5vTp046aQYMGmYSEBPPFF1+YjRs3mmuuucb88Y9/dLyem5trmjRpYlJSUszmzZvNZ599ZmJjY83YsWMdNfv27TOVKlUyI0eONDt27DDTpk0zwcHBZunSpY6a8vDvY9GiRebTTz81P/74o9m1a5d56qmnTMWKFc327duNMexrb1m/fr2pU6eOadq0qRk2bJhjOfvbs8aNG2euvPJKc/jwYcfj2LFjjtettr8JMRdo3bq1GTx4sON5Xl6eqVmzppkwYYIfuyrbLgwx+fn5pnr16mbSpEmOZenp6SY0NNR8+OGHxhhjduzYYSSZDRs2OGqWLFlibDabOXTokDHGmDfeeMNUqVLFZGdnO2r+9Kc/mYYNGzqe9+rVy3Tp0sWpnzZt2piBAwd69HssS44ePWokmdWrVxtj7Pu2YsWKZs6cOY6anTt3Gknmm2++McbYQ2dQUJA5cuSIo+bNN980UVFRjv07evRoc+WVVzpt6+677zadOnVyPC+v/z6qVKli3nnnHfa1l5w6dcrUr1/ffP755+b66693hBj2t+eNGzfOXHXVVUW+ZsX9zeGk8+Tk5GjTpk1KSUlxLAsKClJKSoq++eYbP3ZmLampqTpy5IjTfoyOjlabNm0c+/Gbb75RTEyMWrZs6ahJSUlRUFCQvvvuO0fNddddp5CQEEdNp06dtGvXLv3666+OmvO3U1ATyD+vjIwMSVLVqlUlSZs2bdK5c+ec9kOjRo2UmJjotL+Tk5MVHx/vqOnUqZMyMzP1n//8x1FT0r4sj/8+8vLyNHv2bJ05c0Zt27ZlX3vJ4MGD1aVLl0L7hP3tHbt371bNmjV1xRVXqE+fPjp48KAka+5vQsx5jh8/rry8PKcfjiTFx8fryJEjfurKegr2VUn78ciRI4qLi3N6vUKFCqpatapTTVHrOH8bxdUE6s8rPz9fw4cP17XXXqsmTZpIsu+DkJAQxcTEONVeuL/d3ZeZmZnKysoqV/8+tm3bpsjISIWGhmrQoEGaP3++GjduzL72gtmzZ+v777/XhAkTCr3G/va8Nm3aaObMmVq6dKnefPNNpaamqn379jp16pQl97el72INlDeDBw/W9u3btXbtWn+3EtAaNmyoLVu2KCMjQ3PnzlXfvn21evVqf7cVcNLS0jRs2DB9/vnnCgsL83c75ULnzp0d/920aVO1adNGtWvX1r///W+Fh4f7sTP3MBJzntjYWAUHBxeaif3LL7+oevXqfurKegr2VUn7sXr16jp69KjT67m5uTp58qRTTVHrOH8bxdUE4s9ryJAhWrx4sVauXKlatWo5llevXl05OTlKT093qr9wf7u7L6OiohQeHl6u/n2EhISoXr16atGihSZMmKCrrrpKr776KvvawzZt2qSjR4/q6quvVoUKFVShQgWtXr1ar732mipUqKD4+Hj2t5fFxMSoQYMG2rNnjyV/vwkx5wkJCVGLFi30xRdfOJbl5+friy++UNu2bf3YmbXUrVtX1atXd9qPmZmZ+u677xz7sW3btkpPT9emTZscNV9++aXy8/PVpk0bR81XX32lc+fOOWo+//xzNWzYUFWqVHHUnL+dgppA+nkZYzRkyBDNnz9fX375perWrev0eosWLVSxYkWn/bBr1y4dPHjQaX9v27bNKTh+/vnnioqKUuPGjR01Je3L8vzvIz8/X9nZ2exrD7vxxhu1bds2bdmyxfFo2bKl+vTp4/hv9rd3nT59Wnv37lWNGjWs+ftdqmnA5cDs2bNNaGiomTlzptmxY4d55JFHTExMjNNMbNjPJti8ebPZvHmzkWReeeUVs3nzZnPgwAFjjP0U65iYGLNw4ULzww8/mO7duxd5inXz5s3Nd999Z9auXWvq16/vdIp1enq6iY+PN/fff7/Zvn27mT17tqlUqVKhU6wrVKhgXn75ZbNz504zbty4gDvF+tFHHzXR0dFm1apVTqdFnj171lEzaNAgk5iYaL788kuzceNG07ZtW9O2bVvH6wWnRd58881my5YtZunSpaZatWpFnhY5atQos3PnTjN9+vQiT4sM9H8fY8aMMatXrzapqanmhx9+MGPGjDE2m80sX77cGMO+9rbzz04yhv3taU888YRZtWqVSU1NNevWrTMpKSkmNjbWHD161Bhjvf1NiCnCtGnTTGJiogkJCTGtW7c23377rb9bKnNWrlxpJBV69O3b1xhjP836mWeeMfHx8SY0NNTceOONZteuXU7rOHHihOndu7eJjIw0UVFRpn///ubUqVNONVu3bjXt2rUzoaGh5vLLLzcvvvhioV7+/e9/mwYNGpiQkBBz5ZVXmk8//dRr37c/FLWfJZkZM2Y4arKyssxjjz1mqlSpYipVqmRuv/12c/jwYaf17N+/33Tu3NmEh4eb2NhY88QTT5hz58451axcudI0a9bMhISEmCuuuMJpGwUC/d/HgAEDTO3atU1ISIipVq2aufHGGx0Bxhj2tbddGGLY35519913mxo1apiQkBBz+eWXm7vvvtvs2bPH8brV9rfNGGNKN3YDAADgf8yJAQAAlkSIAQAAlkSIAQAAlkSIAQAAlkSIAQAAlkSIAQAAlkSIAQAAlkSIAVAm1alTR1OnTnW5fvz48WrWrJnX+gFQ9hBiAJRav379ZLPZCj1uueUWv/X05JNPOt2LpV+/furRo4ff+gHgfRX83QAAa7rllls0Y8YMp2WhoaF+6kaKjIxUZGSk37YPwPcYiQHgltDQUFWvXt3pUaVKFa1atUohISFas2aNo3bixImKi4vTL7/8Iknq0KGDhgwZoiFDhig6OlqxsbF65plnVNJdUA4ePKju3bsrMjJSUVFR6tWrl2N9kvPhpPHjx2vWrFlauHChY5Ro1apVysnJ0ZAhQ1SjRg2FhYWpdu3amjBhgnd2EACvYyQGgEd16NBBw4cP1/3336+tW7dq3759euaZZzRnzhzFx8c76mbNmqUHH3xQ69ev18aNG/XII48oMTFRDz/8cKF15ufnOwLM6tWrlZubq8GDB+vuu+/WqlWrCtU/+eST2rlzpzIzMx2jRVWrVtVrr72mRYsW6d///rcSExOVlpamtLQ0r+0LAN5FiAHglsWLFxc6fPPUU0/pqaee0vPPP6/PP/9cjzzyiLZv366+ffuqW7duTrUJCQmaMmWKbDabGjZsqG3btmnKlClFhpgvvvhC27ZtU2pqqhISEiRJ7777rq688kpt2LBBrVq1cqqPjIxUeHi4srOzVb16dcfygwcPqn79+mrXrp1sNptq167tqd0BwA84nATALR07dtSWLVucHoMGDZIkhYSE6P3339fHH3+s3377TVOmTCn0/muuuUY2m83xvG3bttq9e7fy8vIK1e7cuVMJCQmOACNJjRs3VkxMjHbu3Olyz/369dOWLVvUsGFDPf7441q+fHlpvmUAZQwjMQDcEhERoXr16hX7+tdffy1JOnnypE6ePKmIiAhftVasq6++WqmpqVqyZIlWrFihXr16KSUlRXPnzvV3awDcwEgMAI/bu3evRowYobfffltt2rRR3759lZ+f71Tz3XffOT3/9ttvVb9+fQUHBxda3x/+8IdC81d27Nih9PR0NW7cuMgeQkJCihzViYqK0t133623335bH330kT7++GOdPHnSnW8TgJ8RYgC4JTs7W0eOHHF6HD9+XHl5ebrvvvvUqVMn9e/fXzNmzNAPP/ygyZMnO73/4MGDGjlypHbt2qUPP/xQ06ZN07Bhw4rcVkpKipKTk9WnTx99//33Wr9+vR544AFdf/31atmyZZHvqVOnjn744Qft2rVLx48f17lz5/TKK6/oww8/1H//+1/9+OOPmjNnjqpXr66YmBhP7x4APsDhJABuWbp0qWrUqOG0rGHDhrr33nt14MABLV68WJJUo0YN/eMf/1Dv3r11880366qrrpIkPfDAA8rKylLr1q0VHBysYcOG6ZFHHilyWzabTQsXLtTQoUN13XXXKSgoSLfccoumTZtWbH8PP/ywVq1apZYtW+r06dNauXKlKleurIkTJ2r37t0KDg5Wq1at9NlnnykoiL/nACuymZIuzAAAXtChQwc1a9asVLcVAIAL8ecHAACwJEIMAACwJA4nAQAAS2IkBgAAWBIhBgAAWBIhBgAAWBIhBgAAWBIhBgAAWBIhBgAAWBIhBgAAWBIhBgAAWBIhBgAAWNL/A/9KqfK9QFuGAAAAAElFTkSuQmCC",
"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.xlabel('Exploits')\n",
"plt.ylabel('Runtime (ms)')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Applicable"
]
},
{
"cell_type": "code",
"execution_count": 23,
"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 = ['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.xlabel('Applicability of Exploits')\n",
"plt.ylabel('Runtime (ms)')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"### Load"
]
},
{
"cell_type": "code",
"execution_count": 25,
"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 = ['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.xlabel('Database Load')\n",
"plt.ylabel('Runtime (ms)')\n",
"plt.show()"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Gradient Boosting Classifier"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The mean squared error (MSE) on test set: 0.0015\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 = norm_df[predictors]\n",
"overall_y = norm_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 Regression"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[0.4164710671463188,\n",
" 0.07930387291011727,\n",
" 0.0619084776082051,\n",
" 0.04527833425246636,\n",
" 0.025332322803174837,\n",
" 0.017016832713336875,\n",
" 0.01394877632224057,\n",
" 0.011642367315970145,\n",
" 0.009392082109822862,\n",
" 0.013672316013846894,\n",
" 0.002975508472526138,\n",
" 0.0024905756438819873,\n",
" 0.0011070193226399348,\n",
" 0.0008166167439355699,\n",
" 0.0020619852120506332,\n",
" 0.0028208332725586636,\n",
" 0.008309883223282157,\n",
" 0.012637098728651722,\n",
" 0.024207391534791955,\n",
" 0.03725217618658084]"
]
},
"execution_count": 32,
"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 = norm_df[predictors]\n",
"overall_y = norm_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\")\n",
"plt.xlabel('Polynomial Degree')\n",
"plt.ylabel('MSE')\n",
"plt.title('Polynomial Regression MSE vs Polynomial Degree')\n",
"plt_mean_squared_error"
]
},
{
"attachments": {},
"cell_type": "markdown",
"metadata": {},
"source": [
"## SVR"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.00631239915042021"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# SVR\n",
"predictors = ['nodes', 'exploit', 'appl', 'load']\n",
"overall_outcome = 'runtime'\n",
"\n",
"# partition data\n",
"X = norm_df[predictors]\n",
"overall_y = norm_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=True)"
]
}
],
"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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