{"cells":[{"cell_type":"markdown","metadata":{"id":"KHxCUdQwKmu-"},"source":["# 1. Modeling"]},{"cell_type":"markdown","metadata":{"id":"Qu6TWSMKKgJ1"},"source":["## 1.1 Data preparation for modeling\n","\n","**Train-test split**:"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"Rd8EiQyLKqf7","outputId":"f8fdea45-d3a1-4874-a646-550e44aea4d7"},"outputs":[{"output_type":"stream","name":"stdout","text":["\n","RangeIndex: 2111 entries, 0 to 2110\n","Data columns (total 14 columns):\n"," # Column Non-Null Count Dtype \n","--- ------ -------------- ----- \n"," 0 Gender 2111 non-null object \n"," 1 Age 2111 non-null float64\n"," 2 family_history_with_overweight 2111 non-null object \n"," 3 FAVC 2111 non-null object \n"," 4 FCVC 2111 non-null float64\n"," 5 NCP 2111 non-null float64\n"," 6 CAEC 2111 non-null object \n"," 7 SMOKE 2111 non-null object \n"," 8 CH2O 2111 non-null float64\n"," 9 SCC 2111 non-null object \n"," 10 FAF 2111 non-null float64\n"," 11 TUE 2111 non-null float64\n"," 12 CALC 2111 non-null object \n"," 13 MTRANS 2111 non-null object \n","dtypes: float64(6), object(8)\n","memory usage: 231.0+ KB\n"]}],"source":["import pandas as pd\n","import seaborn as sns\n","import matplotlib.pyplot as plt\n","import numpy as np\n","from statsmodels.stats.outliers_influence import variance_inflation_factor\n","from statsmodels.tools.tools import add_constant\n","from sklearn.model_selection import train_test_split\n","from sklearn.preprocessing import MinMaxScaler, StandardScaler\n","from sklearn.preprocessing import OneHotEncoder, StandardScaler\n","from sklearn.compose import ColumnTransformer\n","from sklearn.pipeline import Pipeline\n","\n","data = pd.read_csv('ObesityDataset.csv')\n","y = data['NObeyesdad']\n","X = data.drop(columns=['NObeyesdad'])\n","X.info()\n","\n","X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42, stratify=y)"]},{"cell_type":"markdown","metadata":{"id":"0Xs8gOtDLEpu"},"source":["**Pre-Processing**"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"OYYgoCKLMQ-R"},"outputs":[],"source":["# One-Hot Encoding\n","\n","\n","# cols_to_scale = ['Age', 'FCVC', 'NCP', 'CH20', 'FAF', 'TUE']\n","# scaler = StandardScaler()\n","\n","# X_train_dummy[cols_to_scale] = scaler.fit_transform(X_train_dummy[cols_to_scale])\n","# X_test_dummy[cols_to_scale] = scaler.transform(X_train_dummy[cols_to_scale])\n","\n","# pipeline = Pipeline([])\n","\n","cat_cols = ['Gender', 'family_history_with_overweight', 'FAVC', 'CAEC', 'SMOKE', 'SCC', 'CALC', 'MTRANS']\n","num_cols = ['Age', 'FCVC', 'NCP', 'CH2O', 'FAF', 'TUE']\n","\n","#preprocessing = transfomrer\n","\n","preprocessor = ColumnTransformer(\n"," transformers=[\n"," (\"num\", StandardScaler(), num_cols),\n"," (\"cat\", OneHotEncoder(handle_unknown=\"ignore\", drop='first'), cat_cols)\n"," ], remainder='passthrough'\n",")\n"]},{"cell_type":"markdown","metadata":{"id":"kYzHUka8Lod8"},"source":["## 1.2 Build classification models"]},{"cell_type":"code","execution_count":null,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"vTf_QAaVXlIt","outputId":"283d76bc-e1aa-4000-fdbd-bc8195d0db11"},"outputs":[{"output_type":"stream","name":"stderr","text":["/usr/local/lib/python3.12/dist-packages/sklearn/linear_model/_logistic.py:1247: FutureWarning: 'multi_class' was deprecated in version 1.5 and will be removed in 1.7. From then on, it will always use 'multinomial'. Leave it to its default value to avoid this warning.\n"," warnings.warn(\n"]}],"source":["from sklearn.linear_model import LogisticRegression\n","from sklearn.tree import DecisionTreeClassifier\n","from sklearn.ensemble import RandomForestClassifier, GradientBoostingClassifier\n","from sklearn.neighbors import KNeighborsClassifier\n","\n","models = {\n"," \"Logistic Regression\": LogisticRegression(max_iter=1000, multi_class=\"multinomial\"),\n"," \"Decision Tree\": DecisionTreeClassifier(random_state=42),\n"," \"Random Forest\": RandomForestClassifier(n_estimators=200, random_state=42),\n"," \"KNN\": KNeighborsClassifier(n_neighbors=5),\n"," \"Gradient Boosting\": GradientBoostingClassifier()\n","}\n","\n","#pipline train\n","pipelines = {}\n","\n","for name, model in models.items():\n"," pipelines[name] = Pipeline([\n"," (\"preprocess\", preprocessor),\n"," (\"clf\", model)\n"," ])\n"," pipelines[name].fit(X_train, y_train)"]},{"cell_type":"markdown","metadata":{"id":"5biUYtrRYCuz"},"source":["## 1.3 Model outputs for evaluation"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"yzfxtH9uYNUM"},"outputs":[],"source":["#output cho evaluation\n","y_pred = {}\n","y_proba = {}\n","\n","for name, pipe in pipelines.items():\n"," y_pred[name] = pipe.predict(X_test)\n"," y_proba[name] = pipe.predict_proba(X_test)"]},{"cell_type":"markdown","metadata":{"id":"zotlCs5CesAv"},"source":["# 2. EVALUATION"]},{"cell_type":"markdown","metadata":{"id":"xKmpYwI8esAv"},"source":["## 2.1. Performance Overview:"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"9rHkQ29IesAw","outputId":"90321de2-dbae-4830-dad6-01e4a7e70bac","colab":{"base_uri":"https://localhost:8080/","height":1000}},"outputs":[{"output_type":"stream","name":"stdout","text":["Logistic Regression Accuracy: 0.6146572104018913\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Decision Tree Accuracy: 0.7423167848699763\n"]},{"output_type":"display_data","data":{"text/plain":["
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Rnta2n24OFeuD9dUNkM7hgqFAvMXzMKJ46dw5fJ1qeNUOkqlEra2thrT04q/q6srGjVqpNHWsGFDJCYmAnjc2QaA1NRUjWVSU1PV88pDp57/hAkTMHDgQISHh0OhUGjMEwQBY8eOxYQJE5573iE0NBRz5szRaAvu3BifdvHRJc4zKWztofR/H49+CgVKip69sIkpTJq8hsIjO0TbvlRuxCWgi19f2NraoE/fN/Bd+Nd4q+dQfgAgIr1ZvHQuGjaqD//ug6SOIhpBkOY+//bt2+PatWsabdevX4eHhwcAwMvLCy4uLoiMjESzZs0AANnZ2fj7778xbty4cm9Hp+J/7tw5rF279onCDzz+5DdlyhQ0b978uespawikeNGHukR5LiNXLyis7WDx4Zf/y2hkDCMPb5i07oH8LwMBQQAAmDRsA5gqUXz+qKgZpFBUVISE+MefEM+dvYTmLZpgzLhATJv8ucTJqLzS0x+iuLgYTs4OGu1OTo5ISb0vUSrShSEdw0WLZ+ONnl3Qs8c7SE4u/znnSk+iJ/xNmTIFr732Gr766isMGjQIJ0+exOrVq7F69WoAj2vt5MmT8cUXX6BevXrw8vLCrFmz4Obmhn79+pV7OzoVfxcXF5w8eRLe3t5lzj958uQTFyGURalUPjHkkWdirEuU5ypJuIT8lZ9obvetDyE8uIfCv3arCz8AmDTvhJJrp4H8HFEzVAZGRgqYKc2kjkE6KCoqwunT59G1i5/6gjiFQoGuXfywYmWExOmoPAzlGC5aPBu93+qBXm+8i9u3k6SOIwutWrXC9u3bERwcjLlz58LLywvLli3D0KFD1ct8/PHHyMvLw4cffojMzEz4+flh3759MDc3L/d2dCr+06dPx4cffojY2Fh069ZNXehTU1MRGRmJ77//HosWLdJllfpTWADhvtYvY5EKQn6ORruiujOMPLyh2rSwggOK77OQaYg8GIWkpHuwtrZCwMA+aN+hDQb2Hyl1NFFZWVmiTh1P9WtPz9rw8WmEjIxM3LmTLF0wES1d/j0i1ixF7OnziIk5g4kTRsPKygJr1z3/+pWqgMew6luydC7eHvQWhgz+EDm5uepRjuysHBQUVM07pjRI+MU+vXv3Ru/evZ86X6FQYO7cuZg7d+4Lb0On4h8UFAQHBwcsXboUK1asQEnJ43MixsbG8PX1xdq1azFoUNU652PSvBOE7IcouXlB6igvzcHRHmGrFsDZxQnZ2Tm4fPEaBvYfiag/j0sdTVS+vj44cGCr+vXChSEAgA0btmH06GlSxRLVtm274Ohgj9mfT4eLiyPOnbuEXr2HIS0t/flvrgJ4DKu+Dz58/MC0vfs3a7SPHTMDm376VYpI4pL5F/soBOFf4986KCoqQnr6419iBwcHmJqavlSQvLlDn79QFeaxKEbqCHqXW1j+R0tWVcUy/7IPEyNxT79VRnI/hgBgaVr2leRykp0Xr9f1F8SI9wHGvFWAaOsSywt/q5+pqSlcXV3FzEJEREQVgF/pS0REpE3mw/4s/kRERNokvOCvIsj/2f5ERESkgT1/IiIibRz2JyIiMjAc9iciIiI5Yc+fiIhIm8x7/iz+REREWqT6Vr+KwmF/IiIiA8OePxERkTYO+xMRERkY3upHRERkYGTe8+c5fyIiIgPDnj8REZE2DvsTEREZGA77ExERkZyw509ERKSNw/5EREQGhsP+REREJCeVpuffJTxJ6gh6FW7VSuoIerfG7qHUEfTuYOp5qSPoVXGpvJ9nDgA1bWpIHYGqApn3/CtN8SciIqo0ZH7On8P+REREBoY9fyIiIm0c9iciIjIwMh/2Z/EnIiLSJvOeP8/5ExERGRj2/ImIiLRx2J+IiMjAcNifiIiI5IQ9fyIiIm0y7/mz+BMREWkTBKkT6BWH/YmIiAwMe/5ERETaOOxPRERkYGRe/DnsT0REZGDY8yciItLGh/wQEREZGJkP+7P4ExERaeOtfkRERCQn7PkTERFp47A/ERGRgWHxlxdLKwuM+XgUOvfsgOo1quP6pTgsnvUtrpy7KnU0nTWY8BZqvtkSNnXdUFJQiAen4nDhi83IvXkPAGBZywFvxiwv870nRi/H3f+erMi4L6Rxm8Z4e8zbqOtTFzWca2DuB3NxYv8JAICxiTECZwSiZdeWcHV3RV5OHs4cPYOI+RF4mPpQ4uQvb9zYQEybOg4uLo44f/4yJk2ehZhTZ6WOJRo579/kj8dhyifjNNpuxCWgW9u+EiUSnyHso5wZXPH/dPHHqNPAC7MnfIn7qQ/QM+B1hG1ZjMGdA3E/JV3qeDpxbOeNmxF/IOPsTShMjNE4eBA6bJ6JAx0/RskjFfKTH2C3z0ca73llWFfU/6gXUg6dkyi1bswtzBF/JR4Hth7ArO9nacxTWihRp3Ed/Lz8Z8RfjoeNnQ3GzBmDkB9DMKnXJIkSi2PgwLewaGEIPgqaiZMxZzBxwgfY8/tGNGrcEffvP5A63kuT+/4BwLUrNzB0wGj16+LiEgnT6Ies91Hmt/oZ1AV/SnMzdHmzI779Ihxn/j6PpFt38f3itbhz6y4C3q96n1aPvbsAt7ceQfb1u8i6nIiYyatgVcsB1Zt6PV6gVIDqfpbG5NazJZJ2/Y2SfJW04cvp1OFTWL9wPY7vO/7EvPycfHw69FMc/e9R3I2/i6tnrmLlrJWo71Mfjm6OEqQVz5RJo/HDmk1Yt34rrlyJw0dBM5Gf/wgjhr8jdTRRyH3/AKC4uBj30x6op4yHmVJHEp2c91EoFUSbKiODKv7GxsYwMTFBoapQo11VoELT1k0kSiUeUxtLAEBhRm6Z86v5eKJ6E0/c+vlwBaaqWJY2ligtLUVedp7UUV6YqakpWrTwQeSho+o2QRAQeegY2rb1lTCZOOS+f//wesUDJy/9gaOxe7A8PBRuNV2kjiQ6Q9jHijZ79mwoFAqNydvbWz2/oKAAQUFBqFGjBqytrREQEIDU1FSdtyN68b9z5w5Gjhz5zGVUKhWys7M1ptIKGGLJz3uE86cuYuTk9+HgXANGRkZ4Y8DraOL7Khyca+h9+3qlUKDZ3PeQfvIasq8llbmI15DOyL5+Fw9OxVVwuIphqjTFyOCRiNoZhfzcfKnjvDAHB3uYmJggLVXzNFRa2n24OFftEQ1A/vsHAGdjL2Da+M/w/sBx+HT6F6jtURPbfl8LK2tLqaOJRvb7WFoq3qSjV199Fffu3VNPx44dU8+bMmUKdu/ejW3btiEqKgrJyckYMGCAztsQvfg/fPgQ69ate+YyoaGhsLOz05ju5SaKHaVMIRO+hEKhwJ4zv+HYrYMYPCoAB3ZEorSSDs2UV/PQ4bD1roW/x35X5nwjc1PU7v8aEjYdrthgFcTYxBj/WfkfKBQKfPefsn8GRBXlcOQx7Nl1EFcvx+HIn8cxfHAQbO1s0Luvv9TRRCP7fRRKxZt0ZGJiAhcXF/Xk4OAAAMjKysKaNWuwZMkSdO3aFb6+voiIiMDx48cRHR2t2zZ0DbVr165nzo+Pj3/uOoKDgzF16lSNtq4Neuka5YXcvZ2MsQGTYG5hDisbSzxIe4gvw0Nw93ZyhWxfH5p9GQjX7s1xuP88PLpX9lXutXq3gYmFErd/OVrm/Krsn8LvVNMJMwfPrNK9fgBIT3+I4uJiODk7aLQ7OTkiJfW+RKnEI/f9K0t2dg4Sbt6Gxyu1pY6iN4awjy9KpVJBpdK8zkqpVEKpVJa5fFxcHNzc3GBubo527dohNDQU7u7uiI2NRVFREbp3765e1tvbG+7u7jhx4gTatm1b7kw6F/9+/fpBoVBAeMajDxUKxTPXUdZOGykq9vKDgkcFKHhUABs7a7Tt1ArffrGqQrcvlmZfBqJmz5aICvgC+Xee/g+n15BOSD5wGoUPciownf79U/jdvNwwc9BM5GRW/f0rKirC6dPn0bWLH3bt2g/g8d9U1y5+WLEyQuJ0L0/u+1cWSysLeHjWxm9b/yt1FL2R3T6KOBocGhqKOXPmaLSFhIRg9uzZTyzbpk0brF27Fg0aNMC9e/cwZ84cdOjQARcvXkRKSgrMzMxQrVo1jfc4OzsjJSVFp0w6F39XV1esWLECffuWfXX82bNn4etbeS/aadupFaBQIPFmImp51cLEWWNx60Yidm/ZI3U0nTUPHY7a/V/D8RFLUJRbAKWjHQCgKCcfpQVF6uWsPJ3h0NYbx4YtlCrqCzO3NIebp5v6tXNtZ7zS6BXkZObgYdpDfLrqU9RtXBchw0NgZGyE6o7VAQA5mTkoLiqWKvZLW7r8e0SsWYrY0+cRE3MGEyeMhpWVBdau2yJ1NFHIff8+nTMNf+w/jLt37sHZxRFTZn6EkpIS7Pp1r9TRRCP7fRTxIT9ljXY/rdffs2dP9f/7+PigTZs28PDwwNatW2FhYSFaJp2Lv6+vL2JjY59a/J83KiA1a1trfBQ8Gk6ujsjOzMGhPVFYOf8HlFTB+1PrDH8dAND5N83732MmrcLtrUfUr72GdMKjew+RevhCheYTQz2feliwbYH69ZiQMQCAg9sO4qclP6Fdj3YAgBUHVmi87+OBH+NCdNXb339s27YLjg72mP35dLi4OOLcuUvo1XsY0tKq1rMonkbu++fi5oRvv/8a1apXw8MHGYiJPo1+/sPw8EGG1NFEI/t9FLH4P2uI/3mqVauG+vXr48aNG3j99ddRWFiIzMxMjd5/amoqXFx0u9NCIehYqY8ePYq8vDy88cYbZc7Py8vDqVOn0KlTJ52CtHbTbfmq5mOhltQR9G6NSdV/qt7zHEw9L3UEekk1bar4nT0EALj9QL9/i/nLx4q2LstJ4S/83tzcXLi7u2P27NkIDAyEo6Mjfv75ZwQEBAAArl27Bm9vb/2f8+/QocMz51tZWelc+ImIiCoViUawp0+fjj59+sDDwwPJyckICQmBsbExhgwZAjs7O4waNQpTp06Fvb09bG1tMWHCBLRr106nwg8Y4ON9iYiInkuiL/ZJSkrCkCFD8ODBAzg6OsLPzw/R0dFwdHz8DIylS5fCyMgIAQEBUKlU8Pf3x4oVK56z1iex+BMREVUSmzdvfuZ8c3NzhIWFISws7KW2w+JPRESkrYo/+O15WPyJiIi08Vv9iIiISE7Y8yciItLGYX8iIiLDIkh0tX9F4bA/ERGRgWHPn4iISBuH/YmIiAyMzK/2Z/EnIiLSJvOeP8/5ExERGRj2/ImIiLTJ/Gp/Fn8iIiJtHPYnIiIiOWHPn4iISBuv9iciIjIwHPYnIiIiOWHPn4iISIvcn+1faYr/+YcJUkfQq7Fm96SOoHd3toyXOoLeOb99TeoIepVfpJI6AomgsKRY6ghVH4f9iYiISE4qTc+fiIio0pB5z5/Fn4iISBtv9SMiIjIwMu/585w/ERGRgWHPn4iISIsg854/iz8REZE2mRd/DvsTEREZGPb8iYiItPEJf0RERAaGw/5EREQkJ+z5ExERaZN5z5/Fn4iISIsgyLv4c9ifiIjIwLDnT0REpI3D/kRERAaGxZ+IiMiwyP3xvjznT0REZGDY8yciItIm854/iz8REZE2eT/d17CG/f38WuPXX39EfHwMCgoS0adPD6kjiWrEqCGIOr4LCUmnkZB0Gnv/2IJur3eUOtZLWbn3JJpNDtOY+n21UT1/1Lfbn5j/xdbD0gUWwdTp43D4yA7cTTmPm7dOYtPmcNSt5yV1LNGNGxuIG9ejkZt9E8eP7Uarls2kjiSayR+Pw+0H5zWmyOidUsfSm/GTP8C9zMuYGzpT6ihUTgbV87e0tMSFC5exbt0WbN36vdRxRJd8NwXzZi9G/M1bUCgUGDykPzb8vAJd/Prh2tUbUsd7YXVc7LHqo7fUr42NND+zDmjXCB/1bK1+bW5mWmHZ9MHPrzVWr96A07HnYWJijJDZM7Bj13q09u2B/PxHUscTxcCBb2HRwhB8FDQTJ2POYOKED7Dn941o1Lgj7t9/IHU8UVy7cgNDB4xWvy4uLpEwjf40bd4Y740YhEsXr0odRVRyv+DPoIr/gQOHceDAYalj6M3+fX9qvP5q3lKM+GAIWrZqVqWLv7GRAg62Vk+db25q8sz5Vc2AfiM0Xo8dMwMJt0+hWfPGOP5XjESpxDVl0mj8sGYT1q3fCgD4KGgm3uzZDSOGv4MFC8MkTieO4uJi3E+TxweZp7G0skTY9wswfWIIJs8YI3Ucccm8+BvUsL8hMTIyQv+AXrC0tETMyTNSx3kpielZeP3zCPSatwHBGw7gXkaOxvy9sdfR+dM1CJj/M77ZfQKPCoskSqofdrY2AICMjCyJk4jD1NQULVr4IPLQUXWbIAiIPHQMbdv6SphMXF6veODkpT9wNHYPloeHwq2mi9SRRBe66DNEHojC0agTUkchHRlUz98QNGxUH3v/2AJzcyXycvMRODQI16/dlDrWC2vi4Yy573aDp1M1pGflI3x/DEZ+8xt++WQIrMzN0NO3Ptyq28DRzgrXk9OxfPcJ3LqfiSUje0odXRQKhQLzF8zCieOncOXydanjiMLBwR4mJiZIS03XaE9Luw/vBnUkSiWus7EXMG38Z4i/cQtOzo6Y/PFYbPt9LXr4DUBebr7U8UTRd0BPNPFphJ5dB0kdRT9kfsGfzsX/0aNHiI2Nhb29PRo1aqQxr6CgAFu3bsX777//zHWoVCqoVCqNNkEQoFAodI1DWm7EJaCLX1/Y2tqgT9838F3413ir59Aq+wHAr5GH+v/ruwGNPZzx5tz1OHD2Bvq3bYS3X3tVPb+eWw042lrhwxU7cSc9C7Ud7KSILKrFS+eiYaP68O8u039gZepw5DH1/1+9HIezsRfw17l96N3XH1s2bpcwmTjcarpg3vxgDO7/AVSqQqnj6IXcz/nrNOx//fp1NGzYEB07dkSTJk3QqVMn3Lt3Tz0/KysLI0aMeMYaHgsNDYWdnZ3GVFKSrXt6ekJRURES4hNx7uwlfDFnMS5duIox4wKljiUaW0sl3B2r4c79sofAm3g4A8BT51clixbPxhs9u6B3z3eRnJwidRzRpKc/RHFxMZycHTTanZwckZJ6X6JU+pWdnYOEm7fh8UptqaOIwqfZq3B0csCBqF9wJ/087qSfx2t+rTFqzDDcST8PIyOeUa7sdDpCn3zyCRo3boy0tDRcu3YNNjY2aN++PRITE3XaaHBwMLKysjQmY2NbndZB5WNkpICZ0kzqGKLJVxUi6UEWHGwty5x/9e7joWQHu7LnVxWLFs9G77d6oM+bw3D7dpLUcURVVFSE06fPo2sXP3WbQqFA1y5+iI6OlTCZ/lhaWcDDs/YTpzqqqqNRJ9C53Vvo3mGAejp7+gJ+2/ZfdO8wAKWlMhgzLxVxqoR0GvY/fvw4/vjjDzg4OMDBwQG7d+/GRx99hA4dOuDPP/+ElVX5rrhWKpVQKpUabRUx5G9lZYk6dTzVrz09a8PHpxEyMjJx506y3revb5+FTEPkwSgkJd2DtbUVAgb2QfsObTCw/0ipo72wJTv/QsdXPeFa3Qb3s/Owcu9JGCsUeMO3Pu6kZ2Fv7HX4NfKAnaU54u49wKLtx+Bbxw313Ryev/JKasnSuXh70FsYMvhD5OTmqnvI2Vk5KChQPefdVcPS5d8jYs1SxJ4+j5iYM5g4YTSsrCywdt0WqaOJ4tM50/DH/sO4e+cenF0cMWXmRygpKcGuX/dKHU0Uebn5uHZF8w6i/PxHyHiY+UR7VVUZhv3nz5+P4OBgTJo0CcuWLQPw+PT6tGnTsHnzZqhUKvj7+2PFihVwdnbWad06Ff9Hjx7BxOR/b1EoFFi5ciXGjx+PTp06YdOmTTptvKL5+vrgwIGt6tcLF4YAADZs2IbRo6dJFUs0Do72CFu1AM4uTsjOzsHli9cwsP9IRP15XOpoLyw1MxfB6w8gM68A1a0t0PwVV6yf8jbsrS1QWFSMv68nYWPUOTwqLIZzNWt0a1oHo3u0lDr2S/ngw2EAgL37N2u0jx0zA5t++lWKSKLbtm0XHB3sMfvz6XBxccS5c5fQq/cwpKXJo2fs4uaEb7//GtWqV8PDBxmIiT6Nfv7D8PBBhtTRqLwk7rHHxMRg1apV8PHx0WifMmUKfv/9d2zbtg12dnYYP348BgwYgL/++kun9SsEQSj3x5vWrVtjwoQJeO+9956YN378eGzcuBHZ2dkoKdH9YRbm5u46v6cqsTYzlzqC3t3ZMl7qCHrn/PYyqSPoVX6RPEYWnqWmTQ2pI+hdYUmx1BH07l7mZb2u/2HfTqKty35nlE7L5+bmokWLFlixYgW++OILNGvWDMuWLUNWVhYcHR2xadMmvP322wCAq1evomHDhjhx4gTatm1b7m3odM6/f//++Pnnn8uc991332HIkCHQ4bMEERFRpSSUijepVCpkZ2drTNp3vP1bUFAQevXqhe7du2u0x8bGoqioSKPd29sb7u7uOHFCt2ct6FT8g4ODsWfPnqfOX7FihTwu9CAiIsMm4gV/Zd3hFhoaWuZmN2/ejNOnT5c5PyUlBWZmZqhWrZpGu7OzM1JSdLsjiA/5ISIi0qPg4GBMnTpVo037oncAuHPnDiZNmoSDBw/C3Fy/p4pZ/ImIiLQIIg5il3WHW1liY2ORlpaGFi1aqNtKSkpw5MgRfPfdd9i/fz8KCwuRmZmp0ftPTU2Fi4tuj49m8SciItImwRnsbt264cKFCxptI0aMgLe3Nz755BPUrl0bpqamiIyMREBAAADg2rVrSExMRLt27XTaFos/ERFRJWBjY4PGjRtrtFlZWaFGjRrq9lGjRmHq1Kmwt7eHra0tJkyYgHbt2ul0pT/A4k9ERPQEMYf9xbR06VIYGRkhICBA4yE/umLxJyIi0lJZiv/hw4c1XpubmyMsLAxhYWEvtV4WfyIiIi2VpfjrC796iYiIyMCw509ERKRN0P+XzUmJxZ+IiEgLh/2JiIhIVtjzJyIi0iKUctifiIjIoHDYn4iIiGSFPX8iIiItAq/2JyIiMiwc9iciIiJZYc+fiIhIC6/2JyIiMjCCIHUC/ao0xb+4tETqCHpVWFIsdQS9q95/kdQR9C5j/QdSR9Arm2GrpI6gd6l5mVJH0DtrM3OpI1R5cu/585w/ERGRgak0PX8iIqLKQu49fxZ/IiIiLXI/589hfyIiIgPDnj8REZEWDvsTEREZGLk/3pfD/kRERAaGPX8iIiItcn+2P4s/ERGRllIO+xMREZGcsOdPRESkRe4X/LH4ExERaeGtfkRERAaGT/gjIiIiWWHPn4iISAuH/YmIiAwMb/UjIiIiWWHPn4iISAtv9SMiIjIwvNqfiIiIZMUgi/+4sYG4cT0audk3cfzYbrRq2UzqSKKYOn0cDh/Zgbsp53Hz1kls2hyOuvW8pI4lOj+/1vj11x8RHx+DgoJE9OnTQ+pIL2zlofNoNmujxtRv+W71/Hk7/0bvJTvRZs5mdAn9BZM3RiHhfpaEicUj17/Df8jp97QsI0YNQdTxXUhIOo2EpNPY+8cWdHu9o9SxRFMqKESbKiODK/4DB76FRQtDMO+LJWjV5g2cO38Ze37fCEfHGlJHe2l+fq2xevUGdOsSgL593oepqSl27FoPS0sLqaOJytLSEhcuXMbkyZ9JHUUUdZzs8MfHA9RTxAevq+c1dLPHnAFt8dvE3lgR2BWCIGDcukMoKa3aXzkm57/Df8jt91Rb8t0UzJu9GN069Uf3zgNwNCoaG35egQbedaWOJgpBUIg2VUYKQagcZzZMzGpWyHaOH9uNmFPnMOn//yAVCgVuxccgbEUEFiwM09t2LU2Velv309RwsEfC7VN4o8dgHP8rRu/bKywp1vs2tBUUJGLgwA+we/eBCtlexvoPRF3fykPn8eeVJGwNerNcy19PycCgsD3YPeUt1La3ETULANgMWyX6Ossi1d8hAJgYGet1/WWp6N9TazPzCtmOtrjbJzH7swXYuOEXvW8rPfu6Xtd/xr2vaOtqnrhTtHWJxaB6/qampmjRwgeRh46q2wRBQOShY2jb1lfCZPphZ/u4OGRkyGOYWK4SH2Tj9QW/odeSnQje9hfuZeaVudyjwmLsPB2PmtWt4WJrWcEpxWNof4eGwMjICP0DesHS0hIxJ89IHUcUgiDeVBlJcrW/SqWCSqXSaBMEAQqFfodHHBzsYWJigrTUdI32tLT78G5QR6/brmgKhQLzF8zCieOncOWyfj8h04trUqsG5g5oB08HW6TnPEL4nxcw8ocD+GVCb1gpTQEAW/6+jmUHzuBRYTE8HWwRPrwrTE0qvvcqFkP6O5S7ho3qY+8fW2BurkRebj4Chwbh+rWbUscSRWU9Vy8WnXv+V65cQUREBK5evQoAuHr1KsaNG4eRI0fi0KFD5VpHaGgo7OzsNCahNEfXKPQMi5fORcNG9TEicKLUUegZ/OrXRI/GHqjvUh2v1XPDd+91QU5BEQ5cvK1e5s2mntj8UU+sGdUdHjVs8PGWY1AVlUiYmuixG3EJ6OLXF/5dByJizc/4Lvxr1JfJBzi5n/PXqfjv27cPzZo1w/Tp09G8eXPs27cPHTt2xI0bN3D79m306NGjXB8AgoODkZWVpTEpjMQ/f6ktPf0hiouL4eTsoNHu5OSIlNT7et9+RVm0eDbe6NkFvXu+i+TkFKnjkA5sLczg7mCDOw/+92HYxtwMHjVs4evpjEXvdEDC/SwcunJHwpQvx1D+Dg1BUVEREuITce7sJXwxZzEuXbiKMeMCpY5F5aBT8Z87dy5mzJiBBw8eICIiAu+++y5Gjx6NgwcPIjIyEjNmzMD8+fOfux6lUglbW1uNSd9D/sDjX9TTp8+jaxc/dZtCoUDXLn6Ijo7V+/YrwqLFs9H7rR7o8+Yw3L6dJHUc0lG+qghJD3PhYFP2HRr/nD4sLK66PX9D+Ds0VEZGCpgpzaSOIQq53+qn0zn/S5cuYf369QCAQYMG4b333sPbb7+tnj906FBERESIm1BkS5d/j4g1SxF7+jxiYs5g4oTRsLKywNp1W6SO9tKWLJ2Ltwe9hSGDP0RObq66Z5WdlYOCAtVz3l11WFlZok4dT/VrT8/a8PFphIyMTNy5kyxdsBewZN9pdGxQE67VrHA/5xFWHjoPY4UCb/h4IulhDvZfuI12dV1R3cocqdn5iDhyCUoTY3SoXzF3x+iLnP8O/yGn39OyfBYyDZEHo5CUdA/W1lYIGNgH7Tu0wcD+I6WOJopKep2eaHS+4O+fHrqRkRHMzc1hZ2ennmdjY4OsrMp9Zfm2bbvg6GCP2Z9Ph4uLI86du4RevYchLS39+W+u5D74cBgAYO/+zRrtY8fMwKaffpUikl74+vrgwIGt6tcLF4YAADZs2IbRo6dJFeuFpGblI3jbX8jMV6G6lRLN3Z2wfow/7K3MUVxSitO372PjiWvILihEDStztPB0wrrR/rC3luZWLrHI+e/wH3L6PS2Lg6M9wlYtgLOLE7Kzc3D54jUM7D8SUX8elzoalYNO9/k3bdoUX3/9Nd544w0AwMWLF+Ht7Q0Tk8efIY4ePYrAwEDEx8frHKSi7vOXihT3+Vc0Ke7zr2hi3+df2VTUff5SkuI+/4om1X3+FUnf9/kfdw0QbV2v3at8nS+dev7jxo1DScn/zjU2btxYY/7evXvRtWtXcZIRERFJpLJepS8WnYr/2LFjnzn/q6++eqkwREREpH8G9YQ/IiKi8igVcdLFypUr4ePjo74Trl27dti7d696fkFBAYKCglCjRg1YW1sjICAAqampOu8fiz8REZEWAQrRJl3UqlUL8+fPR2xsLE6dOoWuXbuib9++uHTpEgBgypQp2L17N7Zt24aoqCgkJydjwIABOu+fJI/3JSIioif16dNH4/WXX36JlStXIjo6GrVq1cKaNWuwadMm9fV1ERERaNiwIaKjo9G2bdtyb4fFn4iISEupiDf6l/V9NkqlEkrls+8CKykpwbZt25CXl4d27dohNjYWRUVF6N69u3oZb29vuLu748SJEzoVfw77ExERaSmFQrSprO+zCQ0Nfeq2L1y4AGtrayiVSowdOxbbt29Ho0aNkJKSAjMzM1SrVk1jeWdnZ6Sk6PYod/b8iYiItOh6rv5ZgoODMXXqVI22Z/X6GzRogLNnzyIrKwu//PILAgMDERUVJVoegMWfiIhIr8ozxP9vZmZmqFu3LgDA19cXMTExWL58OQYPHozCwkJkZmZq9P5TU1Ph4uKiUyYO+xMREWmR6la/MrOUlkKlUsHX1xempqaIjIxUz7t27RoSExPRrl07ndbJnj8REZEWMYf9dREcHIyePXvC3d0dOTk52LRpEw4fPoz9+/fDzs4Oo0aNwtSpU2Fvbw9bW1tMmDAB7dq10+liP4DFn4iIqNJIS0vD+++/j3v37sHOzg4+Pj7Yv38/Xn/9dQDA0qVLYWRkhICAAKhUKvj7+2PFihU6b4fFn4iISIsYw/UvYs2aNc+cb25ujrCwMISFhb3Udlj8iYiItEhV/CsKL/gjIiIyMOz5ExERaZHqgr+KwuJPRESkpVTetZ/D/kRERIaGPX8iIiItpRz2JyIiMiwifqlfpcTiT0REpEXut/qx+FeQwpJiqSPoXXFpidQR9M5m2CqpI+jVo+SjUkfQOwu3DlJH0LvMgjypI1Alx+JPRESkpVTBc/5EREQGRe7n/HmrHxERkYFhz5+IiEgLL/gjIiIyMHzCHxEREckKe/5ERERa+IQ/IiIiA8Or/YmIiEhW2PMnIiLSIvcL/lj8iYiItPBWPyIiIgPDc/5EREQkK+z5ExERaeE5fyIiIgMj93P+HPYnIiIyMOz5ExERaZF7z5/Fn4iISIsg83P+HPYnIiIyMOz5ExERaZH7sL9B9vzHjQ3EjevRyM2+iePHdqNVy2ZSRxKNn19r/Prrj4iPj0FBQSL69OkhdSS9kPMx/Iec9jH1fjo+mbMA7XsOgm+Xvuj/3jhcvHK9zGXnLPgWjdv3xIYt2ys4pfjkdAyfRq77WCriVBkZXPEfOPAtLFoYgnlfLEGrNm/g3PnL2PP7Rjg61pA6migsLS1x4cJlTJ78mdRR9EbuxxCQ1z5mZefgvbHTYGpigvDF87Bz4ypMH/8BbG2sn1j2j6i/cP7SVTg5VL391CanY/g0hrCPcqUQBOGln2IoCAIUipe7OsLErObLxiiX48d2I+bUOUz6/+KoUChwKz4GYSsisGBhmN62a2JkrLd1P01BQSIGDvwAu3cfqJDtFZeWVMh2pDqGFUmqfXyUfFT0dS5d+SPOnL+M9SsXPXO51PvpeHf0ZKxa8iU+mvE53hvUD+8N7i96Hgu3DqKvsyz8PdXvPhYX3tXr+r+tPUy0dU2485No6xKLKD1/pVKJK1euiLEqvTI1NUWLFj6IPPS/f+AEQUDkoWNo29ZXwmRUXoZwDOW2j38ei8ar3vUw9bMv0bHXO3h7eBB+2bVXY5nS0lIEz12E4e++jbqveEiUVDxyO4Zlkfs+lirEmyojnS74mzp1apntJSUlmD9/PmrUeDzUs2TJkmeuR6VSQaVSabSJMXrwPA4O9jAxMUFaarpGe1rafXg3qKPXbZM4DOEYym0fk5JTsGXH73h/8ACMfn8wLl65jtCl4TA1MUHfN18HAKz5aRuMjY0wbGBfidOKQ27HsCxy38fKeq5eLDoV/2XLlqFp06aoVq2aRrsgCLhy5QqsrKzKVcBDQ0MxZ84cjTaFkTUUxra6xCGiKqC0VMCr3vUweexwAEDD+nURF38bW3fsQd83X8elq3H4adtObPvxW713AIjoMZ2K/1dffYXVq1dj8eLF6Nq1q7rd1NQUa9euRaNGjcq1nuDg4CdGEarX8NYlygtJT3+I4uJiODk7aLQ7OTkiJfW+3rdPL88QjqHc9tGxhj3qeLprtL3iWRt/HP4LAHD63EU8zMjE6wHvq+eXlJRi4Xc/YMPWHTjw67oKzSsGuR3Dssh9H+Xe89fpnP/MmTOxZcsWjBs3DtOnT0dRUdELbVSpVMLW1lZjqohP/EVFRTh9+jy6dvFTtykUCnTt4ofo6Fi9b59eniEcQ7ntY3OfRriVmKTRdjvxLlxdnAAAfd7oht/Wr8Ava8PUk5NDDYx4NwCrlnwpReSXJrdjWBa576Mg4lQZ6fyQn1atWiE2NhZBQUFo2bIlNm7cWKWG6pYu/x4Ra5Yi9vR5xMScwcQJo2FlZYG167ZIHU0UVlaWqFPHU/3a07M2fHwaISMjE3fuJEsXTERyP4aAvPbxvcH98N6YaVi9bjPe6NYRFy5fwy+79iLk44kAgGp2tqhmp3nKz8TEGA721eHlUUuKyKKQ0zF8GkPYR7l6oSf8WVtbY926ddi8eTO6d++OkpKKucVLDNu27YKjgz1mfz4dLi6OOHfuEnr1Hoa0tPTnv7kK8PX1wYEDW9WvFy4MAQBs2LANo0dPkyqWqOR+DAF57WOThg2wLHQWloevRfjaTajp6oJPJo1Bb/+uz39zFSanY/g0ct7HynqVvlhe+j7/pKQkxMbGonv37rCysnrh9VTUff5SkeI+/4pWUff5k/7o4z7/yqai7vMn/dL3ff7zPcS7z3/m7cp3n/9LP9u/Vq1aqFWr6g7NERERGRp+sQ8REZGWynqhnlhY/ImIiLSUyrz8G9wX+xARERk69vyJiIi0yP0hPyz+REREWuQ96M/iT0RE9AS59/x5zp+IiKiSCA0NRatWrWBjYwMnJyf069cP165d01imoKAAQUFBqFGjBqytrREQEIDU1FSdtsPiT0REpKVUId6ki6ioKAQFBSE6OhoHDx5EUVERevTogby8PPUyU6ZMwe7du7Ft2zZERUUhOTkZAwYM0Gk7HPYnIiLSItWtfvv27dN4vXbtWjg5OSE2NhYdO3ZEVlYW1qxZg02bNqm/XTciIgINGzZEdHQ02rZtW67tsOdPRESkRyqVCtnZ2RqTSqUq13uzsrIAAPb29gCA2NhYFBUVoXv37uplvL294e7ujhMnTpQ7E4s/ERGRFjG/0jc0NBR2dnYaU2ho6HMzlJaWYvLkyWjfvj0aN24MAEhJSYGZmRmqVaumsayzszNSUlLKvX8c9iciItIi5tX+wcHBmDp1qkabUql87vuCgoJw8eJFHDt2TMQ0j7H4ExER6ZFSqSxXsf+38ePH47///S+OHDmi8eV5Li4uKCwsRGZmpkbvPzU1FS4uLuVeP4f9iYiItJRCEG3ShSAIGD9+PLZv345Dhw7By8tLY76vry9MTU0RGRmpbrt27RoSExPRrl27cm+HPX8iIiItUj3hLygoCJs2bcLOnTthY2OjPo9vZ2cHCwsL2NnZYdSoUZg6dSrs7e1ha2uLCRMmoF27duW+0h9g8SciIqo0Vq5cCQDo3LmzRntERASGDx8OAFi6dCmMjIwQEBAAlUoFf39/rFixQqftsPgTERFpkerxvoLw/DEHc3NzhIWFISws7IW3w+JPRESkRaqH/FQUFn8iIiIt8i79vNqfiIjI4FSanr+XXfnvT6yKqptaSx1B7zKKcqWOoHep+RlSR9Arm1qdpY6gd9FOraSOoHddM85LHaHKk/tX+laa4k9ERFRZCDIf+OewPxERkYFhz5+IiEgLh/2JiIgMjNxv9eOwPxERkYFhz5+IiEiLvPv9LP5ERERP4LA/ERERyQp7/kRERFp4tT8REZGBkftDflj8iYiItMi9589z/kRERAaGPX8iIiItHPYnIiIyMBz2JyIiIllhz5+IiEhLqcBhfyIiIoMi79LPYX8iIiKDw54/ERGRFrk/25/Fn4iISIvcb/UzuGF/ZxdHLFoxDyevReJC4l/4b9QWNG7aUOpYorG0ssCUOeOx8+QWHLl5AD/sCkPDpt5SxxKV3I/h1OnjcPjIDtxNOY+bt05i0+Zw1K3nJXUsUfn5tcavv/6I+PgYFBQkok+fHlJHeimO772BRgeXofmVTWh+ZRO8d86HbZcWAADjataoPW80GkeFocWNLWjy9/eoPfcDGNtYSpz65RjC76mcGVTP39bOBpt//xF//3UKH7wzEQ8fZMDzFXdkZ+VIHU00ny7+GHUaeGH2hC9xP/UBega8jrAtizG4cyDup6RLHe+lGcIx9PNrjdWrN+B07HmYmBgjZPYM7Ni1Hq19eyA//5HU8URhaWmJCxcuY926Ldi69Xup47y0wnsPcDd0AwoSkgEo4DCwC+quCcblN6YCCgXMnO1xZ95aFMTdgVlNR3jMHwtTZ3vEj1kgdfQXJvffU7nf568QhMpxP0M9R1+9b2P6rAlo0bop3u3zgd63pa26qbXet6E0N8Of1/dixohP8VdktLp93b7VOHHob4QvWKPX7WcU5ep1/YC0xxAAUvMzKnybNRzskXD7FN7oMRjH/4rR67YKS4r1uv6yFBQkYuDAD7B794EK2d4xhxYVsp1mFzcg6Yt1SN/8xxPzqvd6DV7fTMHp+oOBEvHLTNeM86Kv83kq8vcUALLz4vW6/oEefUVb17bbO0Vbl1gMati/m39HXDx7Gd+s+RrRlw9i56GNGDSsv9SxRGNsbAwTExMUqgo12lUFKjRt3USiVOKS+zEsi52tDQAgIyNL4iRULkZGqP6WH4wszJEbe7XMRYxtLVGSm6+Xwi8Vuf2eCiL+Vxm91LB/Xl4etm7dihs3bsDV1RVDhgxBjRo1nvs+lUoFlUql0SYIpVAo9PtZpLZHTbw7/G38GL4R4ct+RJNmjTDrq+koKirC9i3/1eu2K0J+3iOcP3URIye/j4S423h4PwM9+nVDE99XkXTrrtTxRCH3Y6hNoVBg/oJZOHH8FK5cvi51HHoGC28PeO+cDyOlGUryCnBz9HwUxCU9sZxJdRu4ThqE9I0VM9JREfh7WvXoVPwbNWqEY8eOwd7eHnfu3EHHjh2RkZGB+vXr4+bNm5g3bx6io6Ph5fXsiz5CQ0MxZ84cjbbqFi6oYeWm+x7oQGFkhItnL2PJl2EAgMsXrqF+w7oYEhggm8IRMuFLzFryCfac+Q3FxcW4diEOB3ZEwtungdTRRGEIx/DfFi+di4aN6sO/+yCpo9BzFNy8i8v+U2BsY4XqvdrBc+lEXHv7U40PAEbWFqi7fhYK4u4geclmCdOKS46/p/IZkymbTl3tq1evorj48TnB4OBguLm54fbt2zh58iRu374NHx8ffPrpp89dT3BwMLKysjQme0uXF9sDHdxPTceN6wkabTevJ8C1lv63XVHu3k7G2IBJ6FjHH31aDsSIXmNhYmqCu7eTpY4mCkM4hv9YtHg23ujZBb17vovk5BSp49BzCEXFUN1KQf6Fm7g7/yc8unwLzqP6qOcbWZmj/k8hKM19hBsfzIdQXCJhWvHI9fdUEATRpsrohYf9T5w4gfDwcNjZ2QEArK2tMWfOHLzzzjvPfa9SqYRSqdRo0/eQPwCcPnkOXnU9NNo867gj+c49vW+7ohU8KkDBowLY2FmjbadW+PaLVVJHEoWhHMNFi2ej91s90OuNd3H79pNDx1QFGCmgMDN9/L/WFqi/MQRCYTFujPgSgqpI4nDi4O9p1aVz8VcoFACAgoICuLq6asyrWbMm7t+/L04yPYgI34gteyIwdvII7Nl5EE2bN8bg9wZg1rQvpY4mmradWgEKBRJvJqKWVy1MnDUWt24kYveWPVJHE4UhHMMlS+fi7UFvYcjgD5GTmwsnZwcAQHZWDgoKVM95d9VgZWWJOnU81a89PWvDx6cRMjIycedO1RulqjlzGLL+PI3Cu+kwtraAfb8OsGnXGHFD5zwu/Jtmw8hCiZsT58PIxhJG/3+Pf/GDbKC0ag4wy/33VO5P+NPpVj8jIyM0btwYJiYmiIuLw9q1axEQEKCef+TIEbz77rtIStL9E2BF3OoHAF1e74Bpn42H5yu1kZSYjB9XbsTWn7brfbsVcasfAHTv0wUfBY+Gk6sjsjNzcGhPFFbO/wF5OXl633ZF3OoHSHcMgYq51e9ptzCNHTMDm376Va/brqhb/Tp2bIsDB7Y+0b5hwzaMHj1Nr9vWx61+HovGw7a9D0ydqqMkJw+PrtxGyorfkH30HGzaNUaDbV+U+b7zbT9EYVKa6Hkq4lY/KX9Pn7V9sfRx7y3aunYnVr7rkXQq/toX6bVt2xb+/v7q1zNmzEBSUhJ+/vlnnYNUVPGXSkUVfylVVPGXkhT3+VckKe7zr2gVdZ+/lKS4z7+isfi/HJ2G/UNCQp45f+HChS8VhoiIqDKorPfni8WgHu9LRERUHnI/529QT/gjIiIi9vyJiIieUFnvzxcLiz8REZGWqnkDZvmx+BMREWmR+wV/POdPRERkYNjzJyIi0iL3q/1Z/ImIiLTI/YI/DvsTEREZGPb8iYiItHDYn4iIyMDwan8iIiKqEEeOHEGfPn3g5uYGhUKBHTt2aMwXBAGff/45XF1dYWFhge7duyMuLk7n7bD4ExERaSkVBNEmXeTl5aFp06YICwsrc/6CBQvwzTffIDw8HH///TesrKzg7++PgoICnbbDYX8iIiItUg369+zZEz179ixzniAIWLZsGT777DP07dsXALB+/Xo4Oztjx44deOedd8q9Hfb8iYiI9EilUiE7O1tjUqlUOq8nISEBKSkp6N69u7rNzs4Obdq0wYkTJ3RaF4s/ERGRllIIok2hoaGws7PTmEJDQ3XOlJKSAgBwdnbWaHd2dlbPKy8O+xMREWkR81a/4OBgTJ06VaNNqVSKtv4XweJPRESkRcwn/CmVSlGKvYuLCwAgNTUVrq6u6vbU1FQ0a9ZMp3Vx2J+IiKgK8PLygouLCyIjI9Vt2dnZ+Pvvv9GuXTud1lVpev4ZqhypI+hVYWmR1BH0zt3cUeoIepeQpdt5Nap8+uRelzqC3p2vV0fqCFWeVE/4y83NxY0bN9SvExIScPbsWdjb28Pd3R2TJ0/GF198gXr16sHLywuzZs2Cm5sb+vXrp9N2Kk3xJyIiqiykesLfqVOn0KVLF/Xrf64VCAwMxNq1a/Hxxx8jLy8PH374ITIzM+Hn54d9+/bB3Nxcp+0ohEry1UUOtvWljqBXVqa6HZiqyBB6/ifuX5U6Ar0kR0s7qSPo3QnPmlJH0DvPswf1uv5Wbh1FW1dM8hHR1iUW9vyJiIi0VJJ+sd6w+BMREWmR+7f68Wp/IiIiA8OePxERkRYO+xMRERkYDvsTERGRrLDnT0REpEWq+/wrCos/ERGRllKe8yciIjIscu/585w/ERGRgWHPn4iISAuH/YmIiAwMh/2JiIhIVtjzJyIi0sJhfyIiIgPDYX8iIiKSFfb8iYiItHDYn4iIyMBw2J+IiIhkxaCK/4hRQxB1fBcSkk4jIek09v6xBd1e7yh1LNFM/ngcbj84rzFFRu+UOtZLadqmCeav/QLbY7fg6N1IdPBv/8Qyo6YPx47TW/HHjT1YunkBannVlCCp+MaNDcSN69HIzb6J48d2o1XLZlJHEpXc9+/fxk/+APcyL2Nu6Eypo7wQm4G94bZ1FdyP7YD7sR1wWbccFu1baSyj9GkI59UL4H5i1+Nl1iyGQmkmUeKXJwilok2VkUEV/+S7KZg3ezG6deqP7p0H4GhUNDb8vAINvOtKHU00167cQMuGXdTT228GSh3ppZhbWuDG5ZtY8uk3Zc5/96N3EDCyPxbNXIYxfcbjUX4BFm+cDzOlaQUnFdfAgW9h0cIQzPtiCVq1eQPnzl/Gnt83wtGxhtTRRCH3/fu3ps0b470Rg3Dp4lWpo7yw4tR0ZHyzBsnvBiH53SAUxJyF07I5MK3jAeD/C39YKApOxOLesAlIHjoe2Vt2QiitukPnpRBEmyojgyr++/f9iT8ORCH+5m3cvHELX81biry8fLRs1UzqaKIpLi7G/bQH6injYabUkV7K33+exA8LInB0319lzh/0wQCsX/4Tjh04jptX4vHlpK9Rw9kBHfz9KjipuKZMGo0f1mzCuvVbceVKHD4Kmon8/EcYMfwdqaOJQu779w9LK0uEfb8A0yeGICszW+o4L+zRkWg8OnYSxYl3UZx4F5nfRaA0/xGUTRoCAOynj0P2z9uRFbEFRTdvo/h2EvIPHAGKiiRO/uIEQRBtqowMqvj/m5GREfoH9IKlpSViTp6ROo5ovF7xwMlLf+Bo7B4sDw+FW00XqSPpjau7K2o418CpY6fVbXk5ebhy5gpe9W0kYbKXY2pqihYtfBB56Ki6TRAERB46hrZtfSVMJg6579+/hS76DJEHonA06oTUUcRjZAQr/84wsjCH6vxlGFWvBqVPQ5Q8zITLumWoHbkVLj8shrLZq1InpWfQ6Wr/06dPo3r16vDy8gIAbNiwAeHh4UhMTISHhwfGjx+Pd955/id3lUoFlUql0SYIpVAo9P9ZpGGj+tj7xxaYmyuRl5uPwKFBuH7tpt63WxHOxl7AtPGfIf7GLTg5O2Lyx2Ox7fe16OE3AHm5+VLHE10Np+oAgIz7GRrtD9MzYP//86oiBwd7mJiYIC01XaM9Le0+vBvUkSiVeOS+f//oO6Anmvg0Qs+ug6SOIgrTup5wXf8NFGZmEB49QtrUOSiKT1T3/quNfR8ZS1ej8OoNWPV5HS6rF+Du2x+iOPGuxMlfTGUdrheLTtV2xIgRuHnzcaH84YcfMGbMGLRs2RKffvopWrVqhdGjR+PHH3987npCQ0NhZ2enMT0qzHju+8RwIy4BXfz6wr/rQESs+RnfhX+N+jL5B+dw5DHs2XUQVy/H4cifxzF8cBBs7WzQu6+/1NGIDIpbTRfMmx+MoA8/hkpVKHUcURTdSkLy4LG4994EZG/dDYe5M2D6ijtgpAAA5Pz6O3J37kfhtZvIWBSOoltJsK7C//bIfdhfp55/XFwc6tWrBwBYsWIFli9fjtGjR6vnt2rVCl9++SVGjhz5zPUEBwdj6tSpGm1eNVvoEuWFFRUVISE+EQBw7uwlNG/RBGPGBWLa5M8rZPsVKTs7Bwk3b8PjldpSR9GLB2mPPzBWd6yOB2kP1e32DtURd6nqjuakpz9EcXExnJwdNNqdnByRknpfolTikfv+AYBPs1fh6OSAA1G/qNtMTEzQ9rWWGDH6XXg4NUNpaeW8CvypiotRfCcZAFB4JQ7KVxvA9t3+yPpxCwCg6OZtjcWLEhJh4upU4TGpfHTq+VtaWiI9/fFQ3d27d9G6dWuN+W3atEFCQsJz16NUKmFra6sxVcSQf1mMjBQwq8K3ozyLpZUFPDxrPzG8Khf3Eu/hQeoD+Pr974OjpbUlGjZviEuxlyVM9nKKiopw+vR5dO3yv4sWFQoFunbxQ3R0rITJxCH3/QOAo1En0LndW+jeYYB6Onv6An7b9l907zCg6hX+shgpoDAzQ3FyCorT0mHqWUtjtolHLRTfS5Mo3MsrFQTRpspIp55/z549sXLlSvzwww/o1KkTfvnlFzRt2lQ9f+vWrahbt/LeNvdZyDREHoxCUtI9WFtbIWBgH7Tv0AYD+z97pKKq+HTONPyx/zDu3rkHZxdHTJn5EUpKSrDr171SR3thFpbmqPmv+/Zd3V1Q99U6yM7IQVpyGrb+8BsCJw5FUnwS7t1JwQczRuBBajqO7j8mYeqXt3T594hYsxSxp88jJuYMJk4YDSsrC6xdt0XqaKKQ+/7l5ebj2pUbGm35+Y+Q8TDzifaqoNqEkXj0VwxKUtKgsLSAVc+uMG/ZFKkfBQMAstdtRbWxgSi8Ho/Cazdh3ed1mHrWxv3pcyVO/uLk/oQ/nYr/119/jfbt26NTp05o2bIlFi9ejMOHD6Nhw4a4du0aoqOjsX37dn1lfWkOjvYIW7UAzi5OyM7OweWL1zCw/0hE/Xlc6miicHFzwrfff41q1avh4YMMxESfRj//YXj4oGKup9CHBk0b4NtflqhfT5j9EQBg79b9+GrKAmxasRkWluaYsWAqrG2tcSHmAqYPC0ahqureYgQA27btgqODPWZ/Ph0uLo44d+4SevUehrQ0eYziyH3/5MbYvhocv/gYxg72KM3NQ+H1BKR+FIyC6Md32mRv3A6FmRnsp4+FkZ0NCq/HI3XsJyhOuidxcnoahaDj1QiZmZmYP38+du/ejfj4eJSWlsLV1RXt27fHlClT0LJlyxcK4mBb/4XeV1VYmZpLHUHv3M0dpY6gdyfuV90HtdBjjpZ2UkfQuxOe8njK5bN4nj2o1/U723mLtq7UrMr374bOxV9fWPyrPhZ/qgpY/OVB38Xf0a6BaOu6n3VNtHWJxWAf8kNERGSo+JW+REREWirJoLjesPgTERFpqay36ImFxZ+IiEiL3Hv+POdPRERkYNjzJyIi0iL3L/Zh8SciItLCYX8iIiKSFfb8iYiItPBqfyIiIgMj9y/24bA/ERGRgWHPn4iISAuH/YmIiAwMr/YnIiIiWWHPn4iISAsv+CMiIjIwgiCINukqLCwMnp6eMDc3R5s2bXDy5EnR94/Fn4iISItUxX/Lli2YOnUqQkJCcPr0aTRt2hT+/v5IS0sTdf9Y/ImIiCqJJUuWYPTo0RgxYgQaNWqE8PBwWFpa4scffxR1Oyz+REREWgQRJ5VKhezsbI1JpVI9sc3CwkLExsaie/fu6jYjIyN0794dJ06cEHkHDVBBQYEQEhIiFBQUSB1Fb+S+j3LfP0HgPsqB3PdPEAxjH19WSEjIE58JQkJCnlju7t27AgDh+PHjGu0zZswQWrduLWomhSDI/GbGMmRnZ8POzg5ZWVmwtbWVOo5eyH0f5b5/APdRDuS+f4Bh7OPLUqlUT/T0lUollEqlRltycjJq1qyJ48ePo127dur2jz/+GFFRUfj7779Fy8Rb/YiIiPSorEJfFgcHBxgbGyM1NVWjPTU1FS4uLqJm4jl/IiKiSsDMzAy+vr6IjIxUt5WWliIyMlJjJEAM7PkTERFVElOnTkVgYCBatmyJ1q1bY9myZcjLy8OIESNE3Y5BFn+lUomQkJByDcNUVXLfR7nvH8B9lAO57x9gGPtYkQYPHoz79+/j888/R0pKCpo1a4Z9+/bB2dlZ1O0Y5AV/REREhozn/ImIiAwMiz8REZGBYfEnIiIyMCz+REREBobFn4iIyMAYZPGviO9KlsqRI0fQp08fuLm5QaFQYMeOHVJHElVoaChatWoFGxsbODk5oV+/frh27ZrUsUS1cuVK+Pj4wNbWFra2tmjXrh327t0rdSy9mT9/PhQKBSZPnix1FNHMnj0bCoVCY/L29pY6luju3r2LYcOGoUaNGrCwsECTJk1w6tQpqWNRORhc8a+o70qWSl5eHpo2bYqwsDCpo+hFVFQUgoKCEB0djYMHD6KoqAg9evRAXl6e1NFEU6tWLcyfPx+xsbE4deoUunbtir59++LSpUtSRxNdTEwMVq1aBR8fH6mjiO7VV1/FvXv31NOxY8ekjiSqjIwMtG/fHqampti7dy8uX76MxYsXo3r16lJHo/IQ9WuCqoDWrVsLQUFB6tclJSWCm5ubEBoaKmEq/QAgbN++XeoYepWWliYAEKKioqSOolfVq1cXfvjhB6ljiConJ0eoV6+ecPDgQaFTp07CpEmTpI4kmpCQEKFp06ZSx9CrTz75RPDz85M6Br0gg+r5V+h3JVOFyMrKAgDY29tLnEQ/SkpKsHnzZuTl5Yn+bG+pBQUFoVevXhp/j3ISFxcHNzc3vPLKKxg6dCgSExOljiSqXbt2oWXLlhg4cCCcnJzQvHlzfP/991LHonIyqOKfnp6OkpKSJx6T6OzsjJSUFIlS0YsqLS3F5MmT0b59ezRu3FjqOKK6cOECrK2toVQqMXbsWGzfvh2NGjWSOpZoNm/ejNOnTyM0NFTqKHrRpk0brF27Fvv27cPKlSuRkJCADh06ICcnR+pooomPj8fKlStRr1497N+/H+PGjcPEiROxbt06qaNRORjks/1JHoKCgnDx4kXZnUsFgAYNGuDs2bPIysrCL7/8gsDAQERFRcniA8CdO3cwadIkHDx4EObm5lLH0YuePXuq/9/Hxwdt2rSBh4cHtm7dilGjRkmYTDylpaVo2bIlvvrqKwBA8+bNcfHiRYSHhyMwMFDidPQ8BtXzr8jvSib9Gj9+PP773//izz//RK1ataSOIzozMzPUrVsXvr6+CA0NRdOmTbF8+XKpY4kiNjYWaWlpaNGiBUxMTGBiYoKoqCh88803MDExQUlJidQRRVetWjXUr18fN27ckDqKaFxdXZ/4MNqwYUPZnd6QK4Mq/hX5XcmkH4IgYPz48di+fTsOHToELy8vqSNViNLSUqhUKqljiKJbt264cOECzp49q55atmyJoUOH4uzZszA2NpY6ouhyc3Nx8+ZNuLq6Sh1FNO3bt3/iNtvr16/Dw8NDokSkC4Mb9q+o70qWSm5urkbvIiEhAWfPnoW9vT3c3d0lTCaOoKAgbNq0CTt37oSNjY36Wg07OztYWFhInE4cwcHB6NmzJ9zd3ZGTk4NNmzbh8OHD2L9/v9TRRGFjY/PENRpWVlaoUaOGbK7dmD59Ovr06QMPDw8kJycjJCQExsbGGDJkiNTRRDNlyhS89tpr+OqrrzBo0CCcPHkSq1evxurVq6WORuUh9e0GUvj2228Fd3d3wczMTGjdurUQHR0tdSTR/PnnnwKAJ6bAwECpo4mirH0DIEREREgdTTQjR44UPDw8BDMzM8HR0VHo1q2bcODAAalj6ZXcbvUbPHiw4OrqKpiZmQk1a9YUBg8eLNy4cUPqWKLbvXu30LhxY0GpVAre3t7C6tWrpY5E5aQQBEGQ6HMHERERScCgzvkTERERiz8REZHBYfEnIiIyMCz+REREBobFn4iIyMCw+BMRERkYFn8iIiIDw+JPRERkYFj8iYiIDAyLPxERkYFh8SciIjIw/wc9yyZiOVMBiQAAAABJRU5ErkJggg==\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Random Forest Accuracy: 0.8557919621749409\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["KNN Accuracy: 0.7257683215130024\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["Gradient Boosting Accuracy: 0.7990543735224587\n"]},{"output_type":"display_data","data":{"text/plain":["
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\n"},"metadata":{}}],"source":["from sklearn.metrics import accuracy_score, confusion_matrix\n","import seaborn as sns\n","import matplotlib.pyplot as plt\n","\n","for name in pipelines:\n"," acc = accuracy_score(y_test, y_pred[name])\n"," print(f\"{name} Accuracy:\", acc)\n","\n"," cm = confusion_matrix(y_test, y_pred[name])\n"," sns.heatmap(cm, annot=True, fmt=\"d\")\n"," plt.title(name)\n"," plt.show()"]},{"cell_type":"markdown","metadata":{"id":"jYErQbnTesAw"},"source":["## 2.2. Classification Report:"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"o-n4CeheesAw","outputId":"ee0a9453-2ad7-4c84-eca0-ae39a8bc7d4f","colab":{"base_uri":"https://localhost:8080/"}},"outputs":[{"output_type":"stream","name":"stdout","text":["Logistic Regression\n"," precision recall f1-score support\n","\n","Insufficient_Weight 0.5938 0.7037 0.6441 54\n"," Normal_Weight 0.5349 0.3966 0.4554 58\n"," Obesity_Type_I 0.5208 0.7143 0.6024 70\n"," Obesity_Type_II 0.5699 0.8833 0.6928 60\n"," Obesity_Type_III 0.8889 0.9846 0.9343 65\n"," Overweight_Level_I 0.6250 0.4310 0.5102 58\n","Overweight_Level_II 0.4667 0.1207 0.1918 58\n","\n"," accuracy 0.6147 423\n"," macro avg 0.6000 0.6049 0.5759 423\n"," weighted avg 0.6024 0.6147 0.5825 423\n","\n","Decision Tree\n"," precision recall f1-score support\n","\n","Insufficient_Weight 0.7121 0.8704 0.7833 54\n"," Normal_Weight 0.5400 0.4655 0.5000 58\n"," Obesity_Type_I 0.6471 0.7857 0.7097 70\n"," Obesity_Type_II 0.9298 0.8833 0.9060 60\n"," Obesity_Type_III 0.9697 0.9846 0.9771 65\n"," Overweight_Level_I 0.6809 0.5517 0.6095 58\n","Overweight_Level_II 0.6923 0.6207 0.6545 58\n","\n"," accuracy 0.7423 423\n"," macro avg 0.7388 0.7374 0.7343 423\n"," weighted avg 0.7412 0.7423 0.7380 423\n","\n","Random Forest\n"," precision recall f1-score support\n","\n","Insufficient_Weight 0.9245 0.9074 0.9159 54\n"," Normal_Weight 0.6479 0.7931 0.7132 58\n"," Obesity_Type_I 0.8406 0.8286 0.8345 70\n"," Obesity_Type_II 0.9322 0.9167 0.9244 60\n"," Obesity_Type_III 0.9846 0.9846 0.9846 65\n"," Overweight_Level_I 0.8000 0.7586 0.7788 58\n","Overweight_Level_II 0.9020 0.7931 0.8440 58\n","\n"," accuracy 0.8558 423\n"," macro avg 0.8617 0.8546 0.8565 423\n"," weighted avg 0.8629 0.8558 0.8577 423\n","\n","KNN\n"," precision recall f1-score support\n","\n","Insufficient_Weight 0.6438 0.8704 0.7402 54\n"," Normal_Weight 0.7143 0.2586 0.3797 58\n"," Obesity_Type_I 0.6484 0.8429 0.7329 70\n"," Obesity_Type_II 0.7606 0.9000 0.8244 60\n"," Obesity_Type_III 0.9275 0.9846 0.9552 65\n"," Overweight_Level_I 0.6731 0.6034 0.6364 58\n","Overweight_Level_II 0.7174 0.5690 0.6346 58\n","\n"," accuracy 0.7258 423\n"," macro avg 0.7264 0.7184 0.7005 423\n"," weighted avg 0.7285 0.7258 0.7058 423\n","\n","Gradient Boosting\n"," precision recall f1-score support\n","\n","Insufficient_Weight 0.9000 0.8333 0.8654 54\n"," Normal_Weight 0.6364 0.7241 0.6774 58\n"," Obesity_Type_I 0.6750 0.7714 0.7200 70\n"," Obesity_Type_II 0.8710 0.9000 0.8852 60\n"," Obesity_Type_III 1.0000 0.9846 0.9922 65\n"," Overweight_Level_I 0.7600 0.6552 0.7037 58\n","Overweight_Level_II 0.8039 0.7069 0.7523 58\n","\n"," accuracy 0.7991 423\n"," macro avg 0.8066 0.7965 0.7995 423\n"," weighted avg 0.8055 0.7991 0.8002 423\n","\n"]}],"source":["from sklearn.metrics import classification_report\n","\n","for name in pipelines:\n"," print(name)\n"," print(classification_report(y_test, y_pred[name], digits=4))"]},{"cell_type":"markdown","metadata":{"id":"R0U-DXcZesAw"},"source":["## 2.3. Model Discrimination Ability:"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"HOstZo8AesAx","outputId":"4d98d7a0-eebe-485b-a38e-d9b74504a625","colab":{"base_uri":"https://localhost:8080/"}},"outputs":[{"output_type":"stream","name":"stdout","text":["Logistic Regression Macro ROC-AUC: 0.5435342349064427\n","Decision Tree Macro ROC-AUC: 0.4620435960725993\n","Random Forest Macro ROC-AUC: 0.466727347533789\n","KNN Macro ROC-AUC: 0.4582378227669044\n","Gradient Boosting Macro ROC-AUC: 0.4738412741627471\n"]}],"source":["from sklearn.preprocessing import label_binarize\n","from sklearn.metrics import roc_auc_score\n","\n","classes = y.unique()\n","y_test_bin = label_binarize(y_test, classes=classes)\n","\n","for name in pipelines:\n"," auc = roc_auc_score(\n"," y_test_bin,\n"," y_proba[name],\n"," average=\"macro\",\n"," multi_class=\"ovr\"\n"," )\n"," print(f\"{name} Macro ROC-AUC:\", auc)"]},{"cell_type":"markdown","metadata":{"id":"PNbW25FjesAx"},"source":["**REASON WHY WE CHOOSE THIS MODEL**:\n","\n","Because Random Forest has the highest accuracy: 0.8557919621749409"]},{"cell_type":"markdown","metadata":{"id":"xgebGLJ6esAx"},"source":[]},{"cell_type":"markdown","metadata":{"id":"VCSdVtS3esAx"},"source":["SAVE MODEL"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"BM9I6sxSesAx"},"outputs":[],"source":["import pickle\n","\n","model = pipelines['Random Forest'].fit(X_train, y_train)\n","\n","# save Model\n","pickle.dump(model, open(\"model.pkl\", \"wb\"))\n"]},{"cell_type":"code","source":["# load Model\n","model = pickle.load(open(\"model.pkl\", \"rb\"))\n"],"metadata":{"id":"E7YgZ47eiaQY"},"execution_count":null,"outputs":[]}],"metadata":{"colab":{"provenance":[]},"kernelspec":{"display_name":"Python 3","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":"3.10.0"}},"nbformat":4,"nbformat_minor":0}