{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd \n", "from datetime import datetime \n", "from datetime import date\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from keras.models import Sequential\n", "from keras.layers import LSTM, Dense\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.preprocessing import MinMaxScaler,StandardScaler\n", "from keras.callbacks import ModelCheckpoint\n", "import tensorflow as tf\n", "import joblib\n", "from datetime import datetime" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "merged = pd.read_csv(r'../data/long_merge.csv')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "zones = [72, 71, 63, 62, 60, 59, 58, 57, 50, 49, 44, 43, 35, 34, 33, 32, 31, 30, 29, 28]\n", "rtu = 2\n", "cols = []\n", "\n", "for zone in zones:\n", " for column in merged.columns:\n", " if (\n", " f\"zone_0{zone}\" in column\n", " and \"co2\" not in column\n", " and \"hw_valve\" not in column\n", " and \"cooling_sp\" not in column\n", " and \"heating_sp\" not in column\n", " ):\n", " cols.append(column)\n", "\n", "for zone in zones:\n", " for column in merged.columns:\n", " if f\"zone_0{zone}\" in column:\n", " if \"cooling_sp\" in column or \"heating_sp\" in column:\n", " cols.append(column)\n", "# for rtu in rtus:\n", "# for column in merged.columns:\n", "# if f\"rtu_00{rtu}_fltrd_sa\" in column:\n", "# cols.append(column)\n", "cols = (\n", " [\"date\"]\n", " + cols\n", " + [\n", " f\"rtu_00{rtu}_fltrd_sa_flow_tn\",\n", " f\"rtu_00{rtu}_sa_temp\",\n", " \"air_temp_set_1\",\n", " \"air_temp_set_2\",\n", " \"dew_point_temperature_set_1d\",\n", " \"relative_humidity_set_1\",\n", " \"solar_radiation_set_1\",\n", " ]\n", ")\n", "input_dataset = merged[cols]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "58" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(cols)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Users\\arbal\\AppData\\Local\\Temp\\ipykernel_138944\\1855433847.py:1: 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", " input_dataset['date'] = pd.to_datetime(input_dataset['date'], format = \"%Y-%m-%d %H:%M:%S\")\n" ] } ], "source": [ "input_dataset['date'] = pd.to_datetime(input_dataset['date'], format = \"%Y-%m-%d %H:%M:%S\")\n", "df_filtered = input_dataset[ (input_dataset.date.dt.date >date(2019, 3, 1)) & (input_dataset.date.dt.date< date(2021, 1, 1))]\n", "\n", "if df_filtered.isna().any().any():\n", " print(\"There are NA values in the DataFrame columns.\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "testdataset_df = df_filtered[(df_filtered.date.dt.date >date(2020, 3, 1)) & (df_filtered.date.dt.date date(2019, 3, 1)) & (df_filtered.date.dt.date date(2020, 7, 1)) & (df_filtered.date.dt.date " ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "model = Sequential()\n", "model.add(LSTM(units=50, return_sequences=True, input_shape=(X_train.shape[1], X_train.shape[2])))\n", "model.add(LSTM(units=50, return_sequences=True))\n", "model.add(LSTM(units=30))\n", "model.add(Dense(units=y_train.shape[1]))\n", "\n", "model.compile(optimizer='adam', loss='mean_squared_error')\n", "\n", "checkpoint_path = \"lstm_vav_02.keras\"\n", "checkpoint_callback = ModelCheckpoint(filepath=checkpoint_path, monitor='val_loss', verbose=1, save_best_only=True, mode='min')\n", "model.fit(X_train, y_train, validation_data=(X_test, y_test), epochs=1, batch_size=128, verbose=1, callbacks=[checkpoint_callback])" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "model.load_weights(checkpoint_path)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[1m12244/12244\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m91s\u001b[0m 7ms/step\n" ] } ], "source": [ "test_predict1 = model.predict(X_test)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{0: 'zone_072_fan_spd',\n", " 1: 'zone_071_temp',\n", " 2: 'zone_071_fan_spd',\n", " 3: 'zone_063_temp',\n", " 4: 'zone_063_fan_spd',\n", " 5: 'zone_062_temp',\n", " 6: 'zone_062_fan_spd',\n", " 7: 'zone_059_temp',\n", " 8: 'zone_059_fan_spd',\n", " 9: 'zone_058_temp',\n", " 10: 'zone_058_fan_spd',\n", " 11: 'zone_057_temp',\n", " 12: 'zone_057_fan_spd',\n", " 13: 'zone_049_temp',\n", " 14: 'zone_049_fan_spd',\n", " 15: 'zone_044_temp',\n", " 16: 'zone_044_fan_spd',\n", " 17: 'zone_043_temp',\n", " 18: 'zone_043_fan_spd',\n", " 19: 'zone_035_temp',\n", " 20: 'zone_035_fan_spd',\n", " 21: 'zone_033_temp',\n", " 22: 'zone_033_fan_spd',\n", " 23: 'zone_032_temp',\n", " 24: 'zone_032_fan_spd',\n", " 25: 'zone_030_temp',\n", " 26: 'zone_030_fan_spd',\n", " 27: 'zone_028_temp',\n", " 28: 'zone_028_fan_spd',\n", " 29: 'zone_071_cooling_sp',\n", " 30: 'zone_071_heating_sp',\n", " 31: 'zone_063_cooling_sp',\n", " 32: 'zone_063_heating_sp',\n", " 33: 'zone_062_cooling_sp',\n", " 34: 'zone_062_heating_sp',\n", " 35: 'zone_059_cooling_sp',\n", " 36: 'zone_059_heating_sp',\n", " 37: 'zone_057_cooling_sp',\n", " 38: 'zone_057_heating_sp',\n", " 39: 'zone_049_cooling_sp',\n", " 40: 'zone_049_heating_sp',\n", " 41: 'zone_043_cooling_sp',\n", " 42: 'zone_043_heating_sp',\n", " 43: 'zone_035_cooling_sp',\n", " 44: 'zone_035_heating_sp',\n", " 45: 'zone_032_cooling_sp',\n", " 46: 'zone_032_heating_sp',\n", " 47: 'zone_030_cooling_sp',\n", " 48: 'zone_030_heating_sp',\n", " 49: 'rtu_002_fltrd_sa_flow_tn',\n", " 50: 'rtu_002_sa_temp',\n", " 51: 'air_temp_set_1',\n", " 52: 'air_temp_set_2',\n", " 53: 'dew_point_temperature_set_1d',\n", " 54: 'relative_humidity_set_1',\n", " 55: 'solar_radiation_set_1'}" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "idx_2_col = {}\n", "for i, col in enumerate(traindataset_df.columns[1:]):\n", " idx_2_col[i] = col\n", "\n", "idx_2_col" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(391787, 30)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "test_predict1.shape" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "test_predict1_unscaled = test_predict1*scaler.scale_[0:30] + scaler.mean_[0:30]\n", "y_test_unscaled = y_test*scaler.scale_[0:30] + scaler.mean_[0:30]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "d:\\anaconda3\\envs\\smartbuilding\\Lib\\site-packages\\pandas\\core\\indexes\\base.py:7588: FutureWarning: Dtype inference on a pandas object (Series, Index, ExtensionArray) is deprecated. The Index constructor will keep the original dtype in the future. Call `infer_objects` on the result to get the old behavior.\n", " return Index(sequences[0], name=names)\n", "d:\\anaconda3\\envs\\smartbuilding\\Lib\\site-packages\\pandas\\core\\indexes\\base.py:7588: FutureWarning: Dtype inference on a pandas object (Series, Index, ExtensionArray) is deprecated. The Index constructor will keep the original dtype in the future. Call `infer_objects` on the result to get the old behavior.\n", " return Index(sequences[0], name=names)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "var = 0\n", "\n", "df = pd.DataFrame([testdataset_df.index[31:],test_predict1_unscaled[:,var], y_test_unscaled[:,var]] ).T\n", "fig, ax = plt.subplots(figsize=(10,8))\n", "df.plot(x = 0, y=1, ax = ax, label = 'Predicted')\n", "df.plot(x = 0, y=2, ax = ax, label = 'Actual')\n", "\n", "anomalies = df.where(df[1]-df[2]>0.38)[0]\n", "df['anomalies'] = anomalies\n", "\n", "df_new = df.dropna()\n", "\n", "df_new.plot.scatter(x='anomalies', y=1, c='r', ax = ax, label = 'Anomalies')\n", "\n", "# ax.scatter(anomalies,test_predict1[anomalies,var], color='black',marker =\"o\",s=100 )\n", "\n", "\n", "ax.set_title('Testing Data - Predicted vs Actual [Zone 72 Temperature]', fontsize=20)\n", "ax.set_xlabel('Time', fontsize=15)\n", "ax.set_ylabel('Value', fontsize = 15)\n", "ax.legend(fontsize = 15)\n", "fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "d:\\anaconda3\\envs\\smartbuilding\\Lib\\site-packages\\pandas\\core\\indexes\\base.py:7588: FutureWarning: Dtype inference on a pandas object (Series, Index, ExtensionArray) is deprecated. The Index constructor will keep the original dtype in the future. Call `infer_objects` on the result to get the old behavior.\n", " return Index(sequences[0], name=names)\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'MSE')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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T6m8dg/Ly8pSVlaXc3FxlZmbaXQ4AAABQo6KiIq1du1YdOnRQvXr1VFhSpq4PfmNLLUv/eYbSU5KC2nfAgAEqLy/XzJkzJR24HlRWVpYuuOACvffee5Kkbdu2qVWrVpo9e7aeeOIJNW3aVG+//XaVY7399tt6+umntWzZMs+S3yUlJWrYsKE+++wzDRo0yG8Nvm1XWbDZILjfFgAAAACC1KNHD8/3iYmJatKkiY488kjPthYtWkiSduzYoREjRujCCy/U/PnzNWjQIJ133nnq16+fJOnXX3/VqlWrlJGR4XX8oqIirV69ulZ/B4ISAAAAEAPSkhO19J9n2PbYoUhOTvb62eVyeW2r6B1yu90aPHiw1q9fr0mTJmnKlCk69dRTNXLkSD3zzDNyu93q3bu3xo8fX+UxmjVrFsZvEjyCEgAAABADXC5X0MPfYk2zZs00fPhwDR8+XCeddJLuuecePfPMMzr66KP18ccfq3nz5lGfQsNiDgAAAABs8+CDD+rzzz/XqlWrtGTJEn355Zfq0qWLJOmKK65Q06ZNNXToUM2cOVNr167VjBkzdPvtt2vTpk21WhdBCXCY0nK33SUAAABETUpKikaNGqUePXro5JNPVmJioiZMmCBJSk9P1w8//KBDDjlEF1xwgbp06aJrr71W+/fvr/UeJla9AxxkyZZcnf3iLN3Y/1CNGtzF7nIAAICNqlu5DdWzYtU7epQAB/l/3/whSXp9xhqbKwEAAKjbCEoAAAAA4IOgBAAAAAA+CEoAAAAA4IOgBAAAAAA+CEoAAACAg9WBRaot53ZHfrmV+Ly0LwAAABDjkpOT5XK5tHPnTjVr1kwul8vukhzPGKOSkhLt3LlTCQkJSklJCftYBCUAAADAgRITE9W2bVtt2rRJ69ats7ucmJKenq5DDjlECQnhD6AjKAEAAAAO1aBBA3Xu3FmlpaV2lxIzEhMTlZSUFHEPHEEJAAAAcLDExEQlJibaXUadw2IOAAAAAOCDoAQAAAAAPghKAAAAAOCDoAQg5m3Zu18/rNhpdxkAACCOEJQAxLx+T07VVW//rBmEJQAAYBGCEoC48fPaHLtLAAAAcYKgBDjI5j377S4hphljdwUAACBeOD4otW/fXi6Xq8rXyJEj7S4NsNzKHfvsLgEAAACKgQvOzps3T+Xl5Z6fFy9erNNPP10XX3yxjVUBcCI6lAAAgFUcH5SaNWvm9fOTTz6pjh07qn///jZVBAAAACDeOT4oVVZSUqIPPvhAd911l1wuV8D9iouLVVxc7Pk5Ly8vGuUBlsrdX6qstGS7ywAAAKiTHD9HqbLPPvtMe/fu1fDhw6vdb/To0crKyvJ8ZWdnR6dAwEIjx8+3u4SYw2IOAADAKjEVlN566y0NHjxYrVu3rna/UaNGKTc31/O1cePGKFUIWGfWql12lwAAAFBnxczQu/Xr12vKlCn69NNPa9w3NTVVqampUagKgJMYlnMAAAAWiZkepXfeeUfNmzfX2WefbXcpAAAAAOJcTAQlt9utd955R1dffbWSkmKmEwxAtNGhBAAALBITQWnKlCnasGGDrr32WrtLAQAAAFAHxET3zKBBg2RYzgpADXiVAAAAVomJHiUAAAAAiCaCEoC4Qc8zAACwCkEJAAAAAHwQlADEDZfLZXcJAAAgThCUAMQNht4BAACrEJQAAAAAwAdBCUDcmPjbZrtLAAAAcYKgBCBu7NpXYncJAAAgThCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAAAAAMAHQQkAAAAAfBCUAIdYn1NgdwkAAAD4E0EJcIj/+2yx3SUAAADgTwQlwCF+Xb/H7hIAAADwJ4IS4BCJLpfdJQAAAOBPBCXAIchJAAAAzkFQAhwiIYGkBAAA4BQEJcAhiEkAAADOQVACHCKBsXcAAACOQVACHIKhd4Fd8vpstb9vkvaXlNtdCgAAqCMISoBDEJMC+3ntbknSi1NX2lwJAACoKwhKgEPkF5XZXYLjrc8psLsEAABQR8REUNq8ebOGDRumJk2aKD09Xb169dKvv/5qd1mApfaXMqwMAADAKZLsLqAme/bs0QknnKCBAwfq66+/VvPmzbV69Wo1bNjQ7tIAS2WlJSt3f6ndZQAAAEAxEJSeeuopZWdn65133vFsa9++vX0FAbWkWUYqQelPv6zbrR9W7NQtp3RWSlJMdHwDAIA44/h3IF988YWOOeYYXXzxxWrevLmOOuoovfHGG9Xep7i4WHl5eV5fgNMZY+wuwTEuem22Xpy6Su/NXmd3KQAAoI5yfFBas2aNxowZo86dO+ubb77RTTfdpNtuu03vvfdewPuMHj1aWVlZnq/s7OwoVgyEh5hU1Zpd3os3kCUBAEC0OD4oud1uHX300XriiSd01FFH6cYbb9Rf//pXjRkzJuB9Ro0apdzcXM/Xxo0bo1gxAKtsyCm0uwQAAFBHOT4otWrVSl27dvXa1qVLF23YsCHgfVJTU5WZmen1BSD2zFq1y+vn0nK6lAAAQHQ4PiidcMIJ+uOPP7y2rVixQu3atbOpIqB2MKysZlOWbbe7BAAAUEc4PijdeeedmjNnjp544gmtWrVKH374ocaOHauRI0faXRpgKRZzAAAAcA7HB6U+ffpo4sSJ+uijj9S9e3c9+uijev7553XFFVfYXRoAAACAOOX46yhJ0jnnnKNzzjnH7jIAAAAA1BGO71EC4k1BcZlGffq7Zq7c6bWdgXcAAADOQVACouzlaav00c8bdeVbP3ttZ4oSAACAcxCUgCjbvGe/3SUAAACgBgQlwCEMg+8AAAAcg6AEOARD7wAAAJyDoAQ4BEEpckN6tra7BAAAECcISgBiSm5hacCfS8rKo10OAACIUwQlwMEM3UxVjJ252uvngpIyz/el5bQXAACwBkEJiLLvlm73u91fKCouc9d2OTGnhDYBAABRQFAComx/qf/hYW46Q4Iy8bctdpcAAADqAIISYKOiSqEpv6i0mj1RYde+YrtLAAAAdQBBCbBR5aF1BSUsRAAAAOAUBCXARuWMt7PU1OU77C4BAADECYISYKPUJP4EI+Vy2V0BAACIR0l2FwAA1ckLMHcrt7BUz3z7h/p1bBLligAAQF1AUAJslFdUqvqp/BlW5+q3f/a7/dFJS/XfXzfp/Tnro1wRAACoCxj3A0RZUsLBsWJ9R0+1sZLY8NuGvV4/H9aigSRp1Y59NlQDAADqCoISEGWN66fYXUJMc4lJSQAAoPYRlAAHM5UWxXttxmq9NmO1fcU4DIs4AACA2sTkCCDKkhND/3wiv6hUT369XJJ0ce+2atIg1eqyYoYRS6oDAIDaR48SEAMqX2/plWn0KgEAANQ2ghIQAxIqLQAxfUXdvqhqxXBERt4BAIDaRFACYkBipQk5hpFnAAAAtY6gBDhYxXycygsXVB6GVxdV/PYrtrM8OAAAqD0EJcBmJWXuGvepvCR2XQ9KFfYVl9ldAgAAiGMEJcBmc9bkhLR/XQ9KhrGHAAAgCghKgM1CvR5QeR0PCnX7twcAANFCUAJstq8otCFk7jreowQAABANBCXAZvPW7Ql4m7/Oo7reo0SXEgAAiAaCEhBlvnNs9haWhHT/vYWlVpYDAAAAPwhKgM2aZqTaXQIAAAB8EJQAm2U3Tre7hJjCyDsAABANBCUAAAAA8EFQAqKMHpHIcB0lAAAQDQQlwG7VvPEnEgAAANiDoATEuOKyct358QJ9sXCL3aVEBeERAABEA0EJiHEfzNmgib9t1m0f/WZ3KQAAAHGDoAREme9Iu0h7SHL2FUd4BAAAAPgiKAGIKazlAAAAooGgBDhYMCu8uQkOAAAAliMoATaLtIfktRmrrSkkRhiWcwAAAFFAUAKijDf6kWHoHQAAiAaCEuBgU5fvsLsEAACAOomgBESZSy6vn6ubh3T7hAW1XE3soUcJAABEA0EJcLCkhAOhasYKepYAAACiiaAERFkoc5SSEg8EpZs+mF9b5QAAAMAPghJgs+piU1GpO2p1AAAA4CCCEoCYEsy1pQAAACJFUAIQU7bkFtldAgAAqAMISkCU0SECAADgfAQlwGYEJwAAAOchKAEAAACAD4ISAAAAAPggKAFR5jvSzvdnlytalQAAACAQghLgMIc2rW93CQAAAHUeQQlwGBddSgAAALZzfFB6+OGH5XK5vL5atmxpd1mAZXwvoEpMCt/pXVvYXQIAAIgTSXYXEIxu3bppypQpnp8TExNtrAaoXQn0KAEAANguJoJSUlISvUiIGzVdN4mcBAAAYD/HD72TpJUrV6p169bq0KGDLrvsMq1Zs8bukgBb+Q7XwwE0CwAAsIrje5SOO+44vffeezrssMO0fft2PfbYY+rXr5+WLFmiJk2a+L1PcXGxiouLPT/n5eVFq1wAAAAAccDxPUqDBw/WhRdeqCOPPFKnnXaaJk2aJEkaN25cwPuMHj1aWVlZnq/s7OxolQsAAAAgDjg+KPmqX7++jjzySK1cuTLgPqNGjVJubq7na+PGjVGsEAiN73AxlgePBGPvAACANRw/9M5XcXGxli1bppNOOingPqmpqUpNTY1iVQAAAADiieN7lP72t79pxowZWrt2rebOnauLLrpIeXl5uvrqq+0uDagVCXQoAQAA2M7xPUqbNm3SX/7yF+3atUvNmjXT8ccfrzlz5qhdu3Z2lwZYwvgMF6s88u74QxtHuRoAAABIMRCUJkyYYHcJgMWqn0fj0sGktHBjbm0XE1dYHhwAAFjF8UPvgLqsd7tGdpcAAABQJxGUAJtVXfXu4PdpKYnRLcYBfly1y+4SAAAACEqA01Rey6EuLuxwxZtzw74vI+8AAIBVCEpAlNU4j6ZSl5JLdTApAQAAOABBCXAwrj0LAABgD4ISYDPfDqbMegcXo0yoi2PvImBY9g4AAFiEoAQ4TJP6KZ7vkwhKAAAAtiAoAVFWU59H+6b1Pd8nMPYOAADAFgQlwGa+o8USK4Wj5ESCEgAAgB0ISoDD1Es+eO2kVllpNlYSe5ihBAAArEJQAqJsd0FJtbcbGQ07/pAoVQMAAAB/CEqAzQz9IAAAAI5DUAIQN1gdHAAAWIWgBAAAAAA+CEqAzXx7QVxipTsAAAC7EZQAxA1G3gEAAKsQlAAHGPfTOrtLAAAAQCUEJcABHvpiid0lAAAAoBKCEgAAAAD4ICgBiBuG9cEBAIBFCEqAzXhzDwAA4DwEJcBhDGu3AQAA2I6gBNQRewtLdP6rP+r92evsLgUAAMDxCEqAzaI18u6Vaav024a9euBzVtgDAACoCUEJqCMKS8rtLgEAACBmEJQAh3HJZXcJMYt1MQAAgFUISgAAAADgg6AE2My3E6S2Vr2bvSanVo4LAAAQjwhKQB2xZmeB3SUAAADEDIISUEc0TE/2fL9pT6GNldQerkEFAACsQlACbBatBQj2FpZ6vn/nx3XReVAAAIAYRVAC6qA9hSV2lwAAAOBoBCWgDtpdEJ9BieXBAQCAVQhKgM1859VE481+ekpi7T8IAABADCMoAXWQy8VFbQEAAKpDUAJstq+ozOvnqIwei9Mhagy9AwAAViEoATZ7c9Zar58LissC7AkAAIBoISgBDpOVllzzThHiekMAAADVIygBcIwXv19pdwkAAACSCEpAXDFBTtJx6lye575bEdH96SkDAABWISgBceTHVTl2lwAAABAXCEpAHNmRXxTUfk7tUQIAAHAKghLgMC6XS/PW7pEkvRDinJ3EhLp9fSQCIAAAsApBCXCgP7bnh3W/hCAvJMtcHgAAgOoRlACHCaVPaOPuQu/71u0OJQAAAMsQlACHaZlVL+h9T3p6mtfP63MKA+zpLdaHqI369He/22P81wIAAA5CUAIc5oROTcO+b7BzlGI9UHz080a7SwAAAHGOoAQ4TCTD55KCDUqxnpQAAABqGUEJcJhgok5BSbnf7V1bZwb5KHGalOL01wIAANFHUAKiaGWYq9n5emvmWr/b6yUnBnV/epQAAACqR1ACouj0f/1Q4z6uIMbe7Ssu9bs9+OXBAQAAUB2CEuBwpeXuKtsSAsxFSgw2KNGlBAAAUC2CEuAwvlEnd3/V3qNAgaiuX0eJC+kCAACrEJQAhwkm7AQaYhdsUCJOAAAAVI+gBMSgQEPvAAAAYA2CEuAwriAWCI80J8XrFKV4/b0AAED0EZQAAAAAwEfMBaXRo0fL5XLpjjvusLsUoFYEM89o+h87I3oMOl4AAACqF1NBad68eRo7dqx69OhhdymArfYUllR7e2FJWbVLgMfr8uDx+VsBAAA7xExQ2rdvn6644gq98cYbatSokd3lALY6s1vLgLct2pSrrg9+o1GfLopiRQAAAPElZoLSyJEjdfbZZ+u0006rcd/i4mLl5eV5fQHxpEmDlIC3vTR1pSRpwryNnm0FxWW1XhMAAEA8SbK7gGBMmDBB8+fP17x584Laf/To0XrkkUdquSqgdgQzRymYlfEqe2XaKq+f43TkHQAAgGUc36O0ceNG3X777frggw9Ur169oO4zatQo5ebmer42btxY850AhwgmBAV7YdkK63MKvX42cTqbJ17nXgEAgOhzfI/Sr7/+qh07dqh3796ebeXl5frhhx/08ssvq7i4WImJiV73SU1NVWpqarRLBRyhclQoLXcrOTFBiVygFgAAICSOD0qnnnqqFi3ynpR+zTXX6IgjjtDf//73KiEJiHXB9Bbt3Fcc8LbfNuzxfH/MY1M09/5TlZTofVA6XgAAAKrn+KCUkZGh7t27e22rX7++mjRpUmU7UFds3VsU8LZd+w4uHZ67v1SLNucqqY70KJH/AACAVcKeo3Tttdfq7bff9nvbF198oQULFvi97aGHHvIaRgfAWzCRJtTck+CiRwkAACAUYQeld999V7NmzfJ723nnnacXX3zR720bNmwIGKKCNX36dD3//PMRHQOIZQkBktKK7fl+t/+0Osfr53hdzAEAAMAqjl/1DqhrXEFMUgq0Mt79ny72u73c7R2M4rVHKV5/LwAAEH0EJSAGHdI4PaT901K8Fz0hTwAAAFSPoAQ4TDDTjw5tVl+SVC85uD/hKvuRlAAAAKpFUAJiUMXiDH3aN/baHmjuUVoyy+gDAACEgqAEOEww11EKddW7ej5B6ed1u0M7QIygowwAAFiFoAQ4TDCLOQRa9S6QsnIiBAAAQCgiCkrjxo1TYmJilS+XyxXwtvfee8+q2oE6y/e6SDUJcXdHurpvO7tLAAAAdUhEQckYE9YXgMgE6lAK9OfVumFa7RUTJSd0alrzTry+AAAAiySFe0e3221lHQAC8PfeP9QepdQkRtkCAACEgndPQAwKdShdalLsr3oXzNwtAAAAqxCUgBgUKDSUlPvv6U1LqRt/6gy8AwAAVqm1d0/FxcUaPXq0TjzxRB1xxBE65ZRT9Morr6i8vLy2HhKoM75dss3v9kBTdNo1rl+L1QAAAMSfsIPShx9+qPT0dN1///1VbisuLtbAgQP1f//3f/rpp5+0YsUKTZ8+XbfddpvOO++8SOoFIGn83A0h7Z+cFPvD1mL/NwAAALEk7KA0depUFRcX67rrrqty23PPPac5c+YoISFBd999t/73v//pX//6lxo3bqyvvvpKH330UURFAzhg5spdQe2XlFA3ht4BAABYJexV7+bNm6fDDz9cHTt2rHLb2LFj5XK59Pe//12PPfaYZ3u/fv103HHH6YMPPtBf/vKXcB8agKR563bbXYLjsDo4AACwStgfM2/btk3dunWrsn3NmjVav369JOnmm2/2uq1Pnz466qijtGDBgnAfFsCfftuwx+4SAAAA4lbYQWnPnj1KTKy65PBPP/0kSTriiCPUunXrKrd37NhROTk54T4sUOcUlfpfACXUayn5iqWLPzepnxLwtsNaNIhiJQAAoK4IOyhlZWVp7dq1VbbPmjVL0oHeo0DS0tLCfVigznn22z/sLsF2Q3q2DnjtqE9G9NMRLTMkSYYFwgEAgEXCDkpHH320fvnlF/3222+ebYWFhZo4caJcLpdOPfVUv/dbuXKl2rRpE+7DAnXOnDX+5yJF3qMU0d0dI6Nesv4++Ai7ywAAAHEm7KB0/fXXyxij008/XQ8//LBefvllDRw4UDt37lSjRo10wQUXVLnP9u3btWjRInXt2jWiooF4NWdU1Q8YEgLkoeIy/xeXBQAAQOTCXvXu4osv1qRJk/Tee+/p0UcflXRgzoPL5dKLL76o+vWrXuDyrbfektvt1qBBg8KvGIhjLbPqVdnmCtBzNJ/FHKqIl14yAABgv7CDkiS9++67GjJkiCZOnKidO3eqbdu2uvbaa3XCCSf43X/NmjUaOnSozjrrrEgeFoCkVn5CVSjiKVNwMVoAAGC1iIKSJF144YW68MILg9r3zTffjPThgDon0LVi61o4qG5KVkXoW7IlLyq1AACA+Bf2HCUA0eEKEIkSAk1eqoPmrOGSAwAAwFoEJcDhAvWkJNah6yjVJL+ozO4SAABAnAl76N2hhx4a9oO6XC6tXr067PsDdUmgZcAbNwh8EdZ4FKhnTWIRBwAAYL2wg9K6devkcrnC+lQ60CpeAKoK9OfSvXVWdAtxNJISAACwVsSLOfTu3VvDhg3T0KFDlZaWZkVNACoJ9LFCcmJkI2djLVqYmKsYAADEsrCD0oQJEzR+/HhNnjxZd911lx588EFdeOGFuuKKK3TKKafQawRYJNDfUkpS3fobc1dzfV2G3gEAAKuF/ZH0JZdcos8//1xbt27VSy+9pG7duundd9/VoEGD1LZtW91zzz1asGCBhaUCddOqHftq5bixFi4CLZMuxd7vAgAAnC/iVe8aN26sm2++WT/99JPWrFmjhx9+WJmZmXr22WfVu3dvde/eXU899ZQ2btxoRb0A6qjUpES7SwAAAHWIpcuDt2/fXg888ICWLVumuXPn6tZbb1VOTo7uv/9+9enTx8qHAgAP5i8BAACr1dp1lNq1a6dDDz1UrVu3ljFG7uomGACIOsIFAABAYBGveldZYWGhPv30U40fP17ff/+9ysvLlZWVpeuvv15XXXWVlQ8F1BlHtsnSos25dpcBAABQp0QclNxut7755ht98MEH+uKLL1RYWKjk5GSdc845GjZsmM455xylpNStC2MCVjqsRQZBSdUv2MBiDgAAwGphB6W5c+dq/Pjx+vjjj7Vz5065XC6dcMIJGjZsmC655BI1bNjQwjKBuqV5Rqp25BdLkpITa2cZ8HgKF3H0qwAAAIcIOyj17dtXLpdLXbt21Z133qkrrrhC2dnZVtYG1FkZ9ZI8Qalpg1Sbq3G+eAp9AADAGSIeerd69Wr985//1D//+c+g7+NyuVRQUBDpQwN1QmJC3biw7I+rdoV93x35RRZWAgAAEGFQMsaoqIg3KEBtykpLtruEqHjw88Vh3zc9hWssAQAAa4W9PLjb7Y7oC0Bwkv6co3Rip6Y2V1K7Vu8Mv5c5LZmgBAAArFVr11ECYI2K+Tf1U60NA8zrAQAACIygBDiQy1U35iWFokd2VsDbyHwAAMBqBCUAMSGzXrJ6Zjf0exu9YwAAwGoEJcCBotGfZGKwH6ZBgOGHsfebAAAApyMoAYh5hi4lAABgMYIS4EC87Q9O84wDF+OlvQAAgNUISkAdFQ+dMMmJf76ExcHvAgAAnIWgBDgQa96F5rhDG9tdAgAAiDMEJSBKdu0rDut+zL8JrGIV9X4dm9hbCAAAiDsEJSBKzn5xZtD7RuMySvEYvxqmJ9tdAgAAiBMEJSBKtucF36MUSidSveS6+2dMZxsAAKgtdfcdFhAnWmbWC+t+DOkDAAAIjKAEAAAAAD4ISoADRWOOEgAAAAIjKAEO5IrCAuEMvAMAAAiMoAQ4kLE4xrw6fbWlxwMAAIh3jg9KY8aMUY8ePZSZmanMzEz17dtXX3/9td1lAbWqco+SFZFp2dY8C44CAABQdzg+KLVt21ZPPvmkfvnlF/3yyy865ZRTNHToUC1ZssTu0oBaE5XrKDH2DgAAIKAkuwuoyZAhQ7x+fvzxxzVmzBjNmTNH3bp1s6kqAAAAAPHM8T1KlZWXl2vChAkqKChQ37597S4HQC0Zf/1xdpcAAADqOMf3KEnSokWL1LdvXxUVFalBgwaaOHGiunbtGnD/4uJiFRcXe37Oy2N+BuqusvIAY+wcPPTuhE5N7S4BAADUcTHRo3T44YdrwYIFmjNnjkaMGKGrr75aS5cuDbj/6NGjlZWV5fnKzs6OYrWAs9z97wV+t6/amR/dQgAAAGJITASllJQUderUScccc4xGjx6tnj176oUXXgi4/6hRo5Sbm+v52rhxYxSrBSJn5UILW3KL/G6/cMxs6x4EAAAgzsTE0DtfxhivoXW+UlNTlZqaGsWKANiJFfwAAIDVHB+U7r//fg0ePFjZ2dnKz8/XhAkTNH36dE2ePNnu0oBaU3l5cEJA8KKwqjoAAKgjHB+Utm/friuvvFJbt25VVlaWevToocmTJ+v000+3uzQANjOkSAAAUEscH5Teeustu0sAAAAAUMfExGIOAAAAABBNBCUAjuRiwhEAALARQQkI0YKNezV/wx67y4h7vz3APEQAAGAfghIQgpIyt8575Udd8OpPKiguC+o+781ep/snLvLa9vj53SOuZdbKHEnSupzCiI/lRA3TUzzfJyXQvQQAAKKLoASEoKis3PN9flFwQenBz5fow7kbvLZdcVy7oB8z0Lpu/5qyIuhjpCbF5p/6vWcerk7NG+jmgZ3sLgUAANQxsfnuCbBJSZnb8/3W3P1et+XuL7VsuWqXxRN0mmfG5gWYbx7QSVPu6q/G9VP83s7i4AAAoLYQlIAQuN0H35qXVfp+8uJt6vnItzr2ie/tKAsAAAAWIygB1dhXXKYLXv1Rr89YXeW2yn0+N33wqyRpZ36x5TU8++0fkqQ5a3aHdf9jOzS2shwAAIA6gaAEBFBcVq4z/vWD5m/Yq9FfL5dkz1CvwpID86Jy95eGdf+MVMdfVxoAAMBxCEpAAK9OW63Ne/cHvH3NroJae2yr5jpJCji/x9fO/GKN/WG1cvZZ3ysGAAAQawhKQADz1lU/1G30V8uiVEl0XD9unp74arlnGCEAAEBdRlACAkhKrPrnUbmjZ09heEPhnGrhplxJ0rx1zr2Y7q78kmpvj7fnBAAA2IegBASQkhjeEt17Cqp/Mx8Mq5cHjxd/bM/3+rkiuO6tNH+ruNK1rgAAAMJFUAIC+Hlt1aF3JojlHOauzYn4sYlJoSkoPnjx37Jyrq4EAAAiR1ACAsgrKqt5Jz++XbI9rPu1aZgW1v0Cadrg4CIOLqIXAABASAhKQABpyYlVtgWzGF1+cXgBq/Jou6Qwh/2Fo6TMrd82OHdeUqjoTwIAAFYgKAEBNGlQ87LaO/KLqmz7cdWusB7vvF5tPN8ff2iTsI7hLbiwdfd/Fur8V3+y4PHsU3lOl5VLqwMAgLqLoAQEUDm4BNzn5R+rbKu4QGyobju1s+f7hDAXc+jUvIHn+2AP8b+FW8J6rI27C8O+CC4AAIDTEZSAAErK3VW2+fZVbMmt2qMUrpSk8P8cb+x/qCTppM5NrSqnWpv37tdJT09Tz0e+jcrj1WRrpQsDu+lQAgAAFiAoAQE0z0i1u4Rq9T+smef7RD/dR7U5y+nnSiv77dpXXIuPFJx9leaFMfQOAABYgaAEBJCYUDVqOOlNeIem9SUd7E3yVZuXYqrc2VYQ5uIVVghmuXYAAIBwEJSAAOqnJtn22KEMw0tJrH7fX9fv0YbdhZGWFDMclGUBAEAMIygBDjTs+EMiPkbFtZPW7CqI+FixhJwEAACsQFACQhCt3oqM1OSw7le5Pn9D7164rFd4BVWjoDi8Vf5qi5OGRwIAgNhFUAIsVtNQuNr0RaWlvv1NUcpunG7J41QOI+/PWW/JMSNBNgIAAFYjKAER6Nk2q8q2RvXD6w0KRrsm1Qed3QUltfbYgWzL3V/zTlFEZgIAAFYgKAERaN0wLaqPF2ghu7yiqhd+tfIaT9VxQjCpPMzQTfcSAACwAEEJiAMfzNkQ1H7+5u+0r6GXquZjRnR3Sx6bbAQAAKxGUAJCYPcbcleEF0faXVC156lvx6YR1eG4jOK4ggAAQCwiKAEOFCgPRXoN2Zx9xREe4QAnryzn3MoAAEAsISgBITAWvg1/eEhXy44VrF/X74n6Y0ZD5efFwRkOAADEEIISYJPhJ3QI/U4RdikVljjrmke1wcowCwAA6i6CEhBDIh16V1Qan0GJXiQAAGA1ghIQglh/Q55fXGZ3CbUu1p8jAADgDAQlIIZUXm1u9c59Id+/Sf0UK8uxnb9MRE4CAABWICgBIbD7Tfi6XQWe72eu3CVJmrdud9D3P6Z9Y8trctoKeE6rBwAAxCaCEhACu9+El7mrPv7vm3KjXkek13OqTeQkAABgBYISEOPK/YSnQOJt6F2FhunJdpcAAADiDEEJCIETOyvcfrpQshunKaNeUpXtQ3q2jkZJUXdCp6Z2lwAAAOIMQQmIceVuowSfkXD1U5Lk9tPTlOi7Y5jsHoLoK6HSUECHlQYAAGIUQQkIgRPfhLuN9MzFPatsH3lKJxuqsR8XnAUAAFYgKAFxoEFq1WF21594qA2V2KPy2hJODLMAACD2EJSAOOBvFToHL0xnmZf+cpQkyaVKQ+/sKgYAAMQVghIQkth5Gx6tnGRXD06bhmk6/tAmknx7lGLnOQIAAM5FUAIQkyovTFE5FBKTAACAFQhKQAii1VkR6rA5O0fZOWKIX6Ua/vafhfp60Vb7agEAAHGBoATEkLTkRLtLqMJpI91+27BXI8bPt7sMAAAQ4whKgAMFCh+ndGke3UJiRIIjurUAAEA8ISgBIbC78yRQHPCXE/ythCdJ468/TtKBxRBiWeXrJRGTAACA1QhKgAMF6lEKFH5CUf/Pay5Fcii7A6PkvCF/AAAgvhCUgBBE6825CRBFKmebpg1SJEn/valvFCoKLFCtAAAAsYygBNioVVY9v9vdAbJHduODw+WSEg78+VZeJjtanDbUjTlKAADAagQlwEYVF0z1VS/J/5/m8H4d/G73O0cp7KpiDzkJAABYjaAEhCBaw8ySEv3/aaYECFAAAACwFu+6gBgx4PBmXj/bOTfICbOSKs8Xc9Wp/jMAABANBCUggJx9JVW22bnSmkuBh5jZGRSsaJMnv14e2QHISQAAwGIEJSCApyZXffO+Ynt+SMcoK3dbVU5ce23G6ojuzxwlAABgNccHpdGjR6tPnz7KyMhQ8+bNdd555+mPP/6wuyzUUbdPWOD189eLt6k80BJ1kk7/1w/VHq9ZRmrQj+17DaWaenKiFR7s6mVLqPTqRU4CAABWc3xQmjFjhkaOHKk5c+bou+++U1lZmQYNGqSCggK7SwMkSZ/M3xTwtrW7qj9Pbz2lk87u0UqvDesd1GM5MRDY1ZtTebihFRfiBQAAqCzJ7gJqMnnyZK+f33nnHTVv3ly//vqrTj75ZJuqAg7aurco7Ptm1EvWK5cfHdS+1UaBaOcEJ6zmAAAAUIsc36PkKzc3V5LUuHHjgPsUFxcrLy/P6wuIVFFpud/tvqvPbc8r1teLtlr++L6dJk7JKnYNvavc7vQnAQAAq8VUUDLG6K677tKJJ56o7t27B9xv9OjRysrK8nxlZ2dHsUrEq7dmrfW73V9QGDF+fq3UEMoQs2gNR7NzmfIKCQy9AwAAFoupoHTLLbfo999/10cffVTtfqNGjVJubq7na+PGjVGqEPFs3E/r/G6PXkwIvJgDMQEAAMBaMROUbr31Vn3xxReaNm2a2rZtW+2+qampyszM9PoCInVuz9Z+t+8trHq9pdrgchGIAAAAosXxizkYY3Trrbdq4sSJmj59ujp06GB3Saij0lP9/7nMXbM7ypXYz3t+kP3xjZF3AADAao7vURo5cqQ++OADffjhh8rIyNC2bdu0bds27d+/3+7SUMcs3+p/UZBozdGpmgUqhRUbk0LFQ3+3dLuGvjxLq3fuq7XH+u5OVroEAADR4figNGbMGOXm5mrAgAFq1aqV5+vjjz+2uzTUMYUl/le9Kyp1R62G2shDH/28IaL7V8yV+ut7v2jhplzd+fGCyIsKoHOLDHVq3kCSdNaRrWrtcQAAAGJi6B3gBL2yG2rWql1VtpeURSco1UZIKisPr/bKw+1mr8nxuu33TbkR1VST/9zYVz+tztFpXZvX6uMAAIC6zfFBCXCK7MZpfre7oxTmfecCWfGw7hj8HKJR/RSd3cO7N4k5SgAAwGqOH3oHOEWzjFS/26MVlKTACycUFpd5/bx8W340ynEMJywoAQAA4gtBCQhSoAUTyqPULVNdr8mnv22OSg2S5HYb3fvJ71F7PAAAADsQlIAAjmyTFdR+dg1fs2vU3E+rc2rcJ6+oNAqVAAAA1B6CEhBAUmJww7miNkfJFbhXKZyBZ+GWXVzmf/W/yk4YPTW8g0tKTQr9ZYk5SgAAwGoEJSBC0ZqiVN08nFCCQkWw27x3f1ghL5jHyveZMxWKx88/Muz7AgAAWIWgBEQoWnOUfIW7dP7ufSWe7/cUllSzp3/5ReGHoGBceHSbkO9DhxIAALAaQQmIUNRWvasmDYSy6lt5pXoTE0KPGLX9+wZaNMPq+wAAAFSHoAREyK6cVPlhQ8kJG3cXer5PDCNgJCfysgEAAOIf73iACEX1OkqVcs3ewvBWlqtcbkIYQSmc+wAAAMQaghIQoeitemfNYg5ZacnV3t6mYVr1dQT/UFHjxJoAAEBsIygBEbLrOkqVhTtHyZ8urTIjLSfq6OQCAABWIygBAZSVOyABVeJSaIEokJpX6av+dkIJAACoCwhKgB9FpeVatDnXa9uslbtsquaAagNKCOGlpqBU80hCkhIAAIh/BCXAj1/X76my7a1Za0M6RkEEF10NVSjRpcagFFkptmB5cAAAYDWCEuBHONcX8mX10D2Xgh/2dlXfdgFvq7lHiaF3AAAABCXADyuCUk5Bsd/thzarH/GxfYXSo5KVfnDVu1jsPQIAAIgGghLghxVB6YmvlvvdnpacGNbxql0ePITjnHVkq2pvJzwBAAAQlAC/Ei0YX7Zzn3ePUnbjA9cnuqh327COt6+4LGAgCqXcmn63mm63euRdSZnb4iMCAABELsnuAgAnsqJHydfk20/W4s256tO+cVj3DzR3yOoeoJqOZ/XCCf9buMXS4wEAAFiBHiXAj9oISvVTk3TcoU2UEMGx/YWUGX/stKSX5+we3kPyikrLtT6noMp+oz793YJHO6iwJHqrAwIAAASLoARUsmlPoX5dv9uSoLS3sMSCimq2LbfIkl6eiiNU9Fyd89Is9f9/0zV3TY7Xfrv2Ref3AgAAsBNBCajkxKem6cIxs7VuV9WelFCtzym0oKKDAq3qXVRWbsnxK8LWvj+v/7Rqxz5J0hcMjQMAAHUQQQnwY9HmXLtLqGLljny/Q+wWbtxryfGXbc2TJM1b532x3e15xSorr70FF7blFdXasQEAAMJFUAJixM58/9dl6tuxqSVzlCp6kHxNWbZdl42dU+19IwlS+UXMUQIAAM5DUAJiRFGp/zBy8TFtw16zO9BKer5+Wb+n2tsjWXmvXpjXlQIAAKhNBCXAjyDzQ1Q1SE3ye72k7q2z5LL86kahiaS96iXxMgQAAJyHdyhAjHjz6mP8bo9kwbuFm/aGf2erWHxdJgAAACsQlIAY0btdI7/bXZLW+bneUTCmLNsRQUUHmUgG3zmx+w4AANR5BCXAD39v/BukJunYDo0lSf+6tGe0S5JL/i8463K5VFAc3oIIKYm8BAAAAPjDuyQgSOcd1dozEyg5xICRWovzcPwFqKLS4K6tVFxWe8t+B42hdwAAwIEISkCQEiJ4Q//dnf0trMSbyyUl+JT27182BXXfT+YHtx8AAEBdQ1ACLNSzbZbf7W0apdXq44ab4Uos6lHyN81oX5DDAa3qT2qekWrRkQAAAAhKgF/BrC+QUS+pyrYOTevXQjUH+JufVLHd7uXB/XEHuUiDVUs5MIIPAABYiaAEhOmi3m2rbAsUZmqbFQ8bqDcsXCxmBwAAYhlBCbCQsSkdhJuTTurc1PP9lX3bHziWRVmvtDy4YX10BAEAACciKAF+1JXOkIbpKZ7vkxMPRJbMesmWHNvtriutCAAA4hFBCbBQwHlEVhzbgmNI3teISvZdLs9KQR6auUUAAMCJCEpADTL9LNoQiF1D73w1Sg/cK1RWqacnKfFgSrF6flWwTWFVkznimlAAACBuEJSAaqSnJGp4v/Z2lxGyW0/pXGXb1X3bSfK++G3loXeR8Bd2flm3p8o8pSVbcnXXvxdo8979ljxuZXsLSy0/JgAAqLsISoAfDukY8lJth4/Pjf72/fvgIyRJqUmJnm31khOr7miRkR/O10NfLPHadvaLs/Tp/M26efx8zzaG3gEAACciKAFx4KzuLWvcJz3l4BBCf9d7iiSvmADLX3w4d4Pf7Qs37o3g0QAAAGofQQmIA4c0Tg/vjk7sOgMAAHAAghLgR6AeEqeqafhadYs7WIG8BQAA4g1BCYgRVq9KV/X4tXp4AACAmEJQAuJCaCnH6kwUSYeSy/JqAAAAIkdQAmJM0wapVbaF2xvEiDkAAAD/CEqAPw5IECd1bhr0vlb0yUTSs+OUC+0CAABYhaAEREFtz/+p7flLAAAAdQ1BCYgDIccki3MV/UkAACDeEJQAP2LljX+f9o0kRTBHqdIvalenFJ1hAADAiQhKQA3cf4aJXfuK7S3ED1aMAwAAqB0EJcCPNTsLJEmFJeX6YO56SdJXi7Z57VPudk6/k929MqzlAAAA4g1BCfBjyrLtnu/3Fpb63ef9OetrtYagFmhwVfwT+XWU6JsCAAA4iKAEhGDu2t2SDvSgOLkXxTf0BCrVWDUbq5rDfPLrJj09eXmVJcR/WbdbS7fkWfP4AAAAFkuyuwAgFm3YXVjrjxFSD48F3UG1NXzv7v8slCQNOLy51/aLXpt94PbTD6udBwYAAIgAPUpAGPaXlNtdgpeaMk5tD6sLpmdq5Y58v9u/WbrN73YAAAA7xURQ+uGHHzRkyBC1bt1aLpdLn332md0loY4rKXfbXYKXmuYzhTLArrCkzO/2b5dEFmj+MXGx3+2LNzP8DgAAOE9MBKWCggL17NlTL7/8st2lAJKkkrLQglJQCzNUuU8Q+/j8G/yxD9zDe9rQgW2l5UZFpVV7zF74fmXA4zl5vhYAAEA4YmKO0uDBgzV48GC7ywA8isscNvSuhqQUTJCqvNjCxijMwQIAAHCymAhKoSouLlZx8cGLg+blMbQH1iou9d+jZFfHSk3LgwdTV3mloLQ1tyikx6dDCQAAxJuYGHoXqtGjRysrK8vzlZ2dbXdJiGEX925bZVtxiEPvwhHKcDorVqyrPJxwvZ8epUDXk5KkNTv3RV4AAACAg8RlUBo1apRyc3M9Xxs3brS7JMSwM7q1lCT1aJvl2RZo6F1Cba2xHUC4D1dxt8o9QUUBeskqbN67P+BtT01eHl4hAAAADhWXQ+9SU1OVmppqdxmIYyd2aqopy3bYXYZHqHlp5Y4DPUArth1csjsp4eBRGqYlh3S8mkIWAABArInLHiWgtp3bq02tP0ZIK+WF2bP0/fKDYa/MfbB/KdSesUWbc8MrAAAAwKFiokdp3759WrVqlefntWvXasGCBWrcuLEOOeQQGytDXZUQIEdEd+Bd5ceN/JHL3Qd7hYK5gCwAAEA8i4mg9Msvv2jgwIGen++66y5J0tVXX613333XpqqAqmxb9c6ChFa5R6nc7f83mfjbpsgfCAAAIAbERFAaMGCA1zVeAKey8jwNlH0qXwzWip6kCoHCUWV3frzQssfzp2mDlFo9PgAAQLCYowTEmH3FZVW2+cal3P1V96lJduN0z/fuEANfo/TQFn8IzK7BiwAAAN4ISoCFOjZrUGXbSZ2bhnWskNZy8Nk5nMUVOjU/WLubRewAAEAdR1ACghRMJ0tjP0PHjuvQuBaq8eYbqgJd56naY1Q6DgNdAQBAXUdQAmpQMQzNiUtgB+p1Wrl9X1jHqwiDoQ69s8pDQ7ra8rgAAAC+CEpADZ77boVNjxz82DvfPbflFUX0yDP+2BnS/lbEqu5tMjWkZ2sLjgQAABA5ghJQg+Xb8oPet0n91FqsJLD0lMgXsKw8z2nz3v0h3deKDqiGaax4BwAAnIOgBNSg76FNgt53UNcWtVhJVdtyD/QcdW5RdRGJSNg19A4AAMApCEpADdo3Ta95pz8lJFQdLlce5gpywax6t2ZXwYF9fbY3qe/dOxNq7gnmmkrex488WFlx0VwAAACrEJSAGpSWRxYCPluw2aJKgldTxRf1bltlW+WcEmJOYpU8AAAQdwhKQA1C7V3xtS6nwKJKAvO9jpJvD4+fjq5qhdxDRFICAABxhqAE1CDS+Trh3t3KkWj1khNr3KfyNaAiDYfh8A17AAAAdiIoATW4ZWCnKtv2FZfZUElgvhGjIua8+Jej1Dqrnl6/sneNx8isl+z5vtyGxRyISQAAwEkiX1MYiHMtsupV2VYW4bylaDm3Z2udG8a1iULNSfkWBEc6lAAAgJPQowSEoVF6iu487bBafYxggoPv6nYVago6q3fuq/b2tbtqf14VAACAkxGUgDBkpSfrryd3sLsMDe3VRlLVUFXTYgy/bdhbSxWFjw4lAADgJAQlIERHHdIwpP0PaRz8dZgqc9Wx6BDpYg4dmta3qBIAAACCElDr/nVpz1p/jCrLg9f6I1ov0ljYuXkDS+oAAACQCEoAAAAAUAVBCbBIg1RrF5GMaCRaFLqUKpYcT02y5mWkU4Q9Qt8u3W5JHQAAABLLgwOWcdKMomgOvUtMiOw3v6h3W2WlJeu2UztbVBEAAEDkCEqAQ329eJvn+9O6tLCxktpz1pEt9czFtT+HCwAAIFQMvQOsUotdSoGG4a3cke93+74aLgBrRe9NxQrkoV6cFgAAIBYQlIAQLd2SF/XHDHRdpJkrd4V1vMQIl+KuzEQw0K/cTcoCAADORFACQlRc5g7xHpGHkinLdkR8DOtFHnK+WcICDAAAwJkISjYodxvtLym3uwzEsfZNwrvIbTgYegcAAOIRQckGZzz/g7o8OFl5RaV2l4IglJUHlwSiterdBUe1qXGfBAuH1gEAANRFBCUbrNqxT5I0b+1umytBMCJd/npHXpFFlRyQlpJY805RzEl0KAEAgHhEUAJqkJWWHNR+gRYmWPlnMA7VNSe0D+t+Us05qcwd6jyrqjxD7khKAAAgDhGUgGqc27N10PsWBJh39nOYPYdJEfRkDe1V/fC8N2euDfvYFchHAAAgnhGUbMQ0Euerrjcp0MrWLTPref3cqXkDK0sK6rwZMaBjtbfvL418MRHPdZSITAAAIA4RlIBqVNepk5Lo/8/nlSuO8vr5kmOyrSwpKMkBaqsNrHoHAADiEUHJRq5ozrhHWFzVdN+kJHn/+Zx1ZEtJVXuhMtOSLK3pgzkbLD0eAAAAqiIoARb5x9ld/W6vLmzFsoohd3QoAQCAeERQslN8vn+OK8Fej+jpC3uoTcM0v7fF69McaMhd/8Oa+d3etEFKLVYDAABgLYKSjeL1DXQ8CXrhuWr2C7dDyYoFF6xQL7n6lwnjk5hO6NSkNssBAACICoKSjeJ1SJaTlZa79cj/lmja8h1B7R/sU1TdbuHORXPKXKRA9Wc3TpfkPfSuW+vMKFQEAABQ+whKqFM++nmD3vlxna55d15Q+1sRZmM9D/urv3lGqlo3rFdl+yGN01mkBAAAxAWCko14Oxl9m/fuD2n/oHuUqtkxFp7nG04+NOBt/urv27GJJxBVHnnncsV+MAQAAJAISo5R7jZV5nrAfsH2jriq+SkWklJ6SmLA2wItaOFvs53DSU85orltjw0AAOIPQclGFe8p95eU6/jR3+u6cb/YWxCqCL5HqZrbwkxK5/RoFdb9wlHt6n4hlO+SfWHp2Yt72vK4AAAgPhGUHGDGip3amV+sqUEuMIDwhRpagl70rhZWvQumhyQl0Zo/4eoXo7Bme21rVJ/lxwEAgHUISnXcvuIy/bRql8rdDPvzJ9jrKFUXwGozOLRt5P/aTaFKqGYd9FB6iBJcLuYoAXCMzxds1vfLtttdBoAYRVCyUcWbazvfWA57c64uf3Ouxv6wxr4iHMySoXcWPMGHtWjgd/tNAzpGfOyaBMpQ/n4vlysmpmQBjldUWq4deUV2l1GjtbsKVFhSZncZfm3Zu1+3T1jAsPY4tGJ7vooccq3B2uDkOeuzV+fo379stLuMqCEo2cjf++evF21VflFp1GpYsHGvJOk/v9aNkz7UzOKUN/33n9XF7/ZLjsm25PjV9ZwFCnr+tlY3R2nXvpIwKoueguIyLdqU6+j/oFB3nPrsDB37xPdau6vA7lICWrBxrwY+M12nPTvD7lL82lPo7NcchGfK0u0a9K8fdMGrP9ldSq0Y/dUyHT/6e+3aV2x3KX795Y05uve/v+v3TXvtLiUqCEo2cvn8K0kjxs/XzePnR78Y3hv6VW7Bm2YrwlZiNUPjrGDRWg4xPfRuyMuzNOTlWfpmyTa7S4GFjDH6fMFm/bEt3+5SQlJxKYMpS507bOyrRVslSVtyndfz5XYbx384g/D899dNkqSlW/NsrqR2vP7DGm3PK9Zbs9baXUq1Nu4O7XIrsYqg5AC+n8DPXLkr6jWEEwfu++R3XT/ul7ie37R0S3AvxN7PofG5LbzHjmbgqC6H+atjX1GZ//pieOjdmp0HPrn/fMEWmyuBlWas2KnbJyzQGc//YHcpYTF/vp7sKy7TnDU5clv4eltUWq79JeEPX3Jy7+tf3/tFV7/9s91loBbE6odxlW3aU6jxc9dXO3zQ6b+m28F//1YiKNnJ6X8FNZgwb6OmLNuujvd/pf/3zXLP9tz90Rs6GKpQmzwxIbg/kcrHzd1f5nNb5E+0FccI9/j+PpX9fvkOvwHZpdi/4mywC3igZuVuo9Jyt601LAnyww6nqvgzu2zsbF02do7GzV5nyXHL3UbdHvpGXR6cHPZz5OTPyL5nFdm45cQezFCd+fxM/WPiYr3w/cqA+zj9vyIH//lbiqDkAOH8LeTuL9U9/1mon1Zb0/sUzCeDbrcJOGn3lWmrJUmTF29Vz0e+1ZNfL/e7X6x58JyuQe1X+QWtuMznEyKHv9hJ1b8gZ6Ul+91eVFb1zVVCDPcoVait/5xy9hXrtRmrtSM/9v+TD4YxRqc+O139npyqMpvDUiyreGlevPlA4Ptk/iZLjruvqMzzYcfugvCGqMXSB8pO7v1CaBb+Obc6lu0rPvBeaubKnQH38f0A0xjjqBE8deVviqBko0hWvXvy6+X6z6+bdPkbcy2uKrCLX5+trg9+o535gScYPvzFUknSazNWR6usWnVIk3RJ0nUndqh2v8ovaL4vZE7/VEiqfmW+zLQk//fxexyLCgpTg1T/tYaitnqURnwwX09+vVzXvjuvVo5f20rK3Fq9c1/w+5e7tS6nUDvzi7VpT90Yy17Zl79v0V0fL4h4ZS7f4S1WvTcxlT4PDveUj6WhN1aUuiO/SHtZIAIWclfzGZLv3+Ulr8/WwGem295LXyGG/vwjQlCKURt3F4Z933K30dgfVuu3DXs824I5339df2D/6ia7mxA6Y/OKSvXe7HXVBi/pwBuO68fNs2RIXyhvCDLqHXzTHcpaCscf2sTr5+Qgh+9Vp7YDSHW/34mdmvnd3iqrXpVtW3OLAtba7s/QWVm95Np/Cfpl3W5d+dZcrdoR3Jv82lo34+d1uyUd7BmIBVOWbve021Vvz9Wpz87wTOCvSeXAaef/p3aF91s+/E2f/rZZ789e79m2Ze9+za/0uhsOqz5QrnyccIf2xtInypFWWlBcpmMf/169/vldRMcpLXerxE9vfIVYatMKsVizU1T3YYPvX+W8dXu0YXehYxamCeX9XiwjKNmo4j/wUBdv+HjeBs1aFf6QuxemrNATXy3X+ZWW1gzldc6qTxH//t/f9eDnSzTszbl+P3VdvDlX8zfs0S0f/qYpy3boxQBjeQtLyvTKtFVataP2XjxquhZS73aNPN8nJ3r/WaWlJIb1mNH8v6e6N19XHHdIlW33nHG43zZp2yjd75uuc3u21vqcquH+6Yt6hlZoGC56bbZmrtylG98P7loqzFE6YPbqHF3/3i867bkDSz/PWXMg6H0wZ311d/Oo3Iq+rxn5RaV15s3VzkpL/PZ7cqouePUnLQthtS7fxRsqt9tz363QmzPDuwZe5eOE++FAJM/gpj2FWhNCD2WkIj3fKlYhDPVYlfd1u436PTlVfR6f4nc46l/f+0Xnvvyjo4ZXVVZUWq5r3vlZ71eaJ/fh3A069onvQzqncVC1p1KA/4uc8tLplDpqG0HJRlv27tcr01bp3Z/WBbV/cVm5jDH6+yeLvLZ/s2SblmzJVVm5W1tzax7i8uLUVeGU61FW7v+v47cNe2rsHarsuz+Xvf1je76OeGCyjnzoG53xrx807c+FAs55aZbXdRL8jaM3xqjrg9/o/33zh057ruqqVsYY3fXxAt0/cVGV22qSX3RwPtaK7f5D2O8PD9KP952iln56VyL1/JSDwbCguHYv6BgoZB7TrpHf4JBZz/8Qt5M7N9W6nKrXfbnmhPZ+9w90nNqwIy+4c9OKCwTHg3985v9vJpzmefH7lfp+2YG/959W7dKRD3+rBz5fHEl5ljHG6Mvft6j9fZP0/75ZrqVb8iydR+bvTfUCnzkWizfn6ouF/ldbLHMbfVupF98Y6fdNe7Vye75e/H6lHpu0LKwQ4NWjVOlJLSot179/2RjUxW6D/dBsxoqdevLr5Z4AYIzRiU9N0ynPzlBeFK8bWNn2vKKq80mDZIz00+pdan/fJE1evE1z1+Ro7pocSdKr01fpgc8Wa/HmXHV5YLIOf2CypwdgX0mZduYXK3d/qbb7+b/yu6XbtWhzri567aew542F4sdVu/T05OVBzyH86OcNmvbHTj3w+RIZY7R65z7dP3GRduYX63oHXdTX6R/CVB4d4zZGq3bka+ryqpcBCPRSG62eHGOMikrLtTV3v/KLSqu8D3Jonrdc9N6loIq7/r0w4G3t75ukC45uo9EXHKm1uwr0x7Z83T5hgd99b3z/V0nSIY3TteHPIXn/vrGvnvx6mZ67pJcGPDNdkvTTfaeodcM0v8fYsLtQ3R6crA//erx6ZjeUJOUWluq+T39X9zZZuvHkQz37Bvq063w/F3+bvHir1ucUqkVmPZ13VBsZY3TUo99pb2HV/xzzi8v0x/Z8XfPuPC1/9Mwqt1f+T3nib5v01aJt6tEmy2ufLg9M1v7Sck28uZ/aNkpXablbn/62WZL09zOP0KxVOV6/x7a8ItVLStBnC7ZoSI9Wfn8vSZr+h/8Jl5n1kpVZz/9iB5HaUGl45YtTV2pQt5a18jiSdP5Rbf1ub90wTWV+BlEHeoHs16mpRoRwHTCrrw9V3dF83+AXl5XrmMemqKzc6LcHT/dsdxuj3QUl2plfrMNbZlT7eMYYFZe59fPa3TqxU1MlJLiUX1SqSb9v1RndWqpR/RS/9xv54XztKSjRC5cdpU/mb9IrU1dp8p0nq1VmPSWE0SZ7C0uUmpSoIx/+RmkpiZo96lQluKSC4nK5jdHkxds0qFsLzV6doy6tMtWlVabcbqNVO/dp4+5C9cxuqHrJiRr30zq1bZSmcrfxLJfuyyWX3G6j575boZenrdJfjj1Eoy84UpJ0178XaFtukcZff5zXfT5fsEWfL9iiKXedrMvfPDCv8oM5G/TYeUfKGKMtuUVqkZEqt5GSElx+26CireslV+2h3VNQErCtK/dwLtuapy6tMlVW7lZigksrd+zToH8d/IDllWmrPQvTdGmVqWHHH6J/TFysGfcMUFpKojJSk5WWkqgte/drXU6BemU3VHpK1f9GK39g5e89W4LrwO9TWm6UkpSgc16aJUlq2iBF/To21Z5Kb5J9V8X6Y3u+zn35R69tbiMl+jm/v1y4VRv3FOr5KSt1/lFt9K9Lex1ss0pzbSo39zPf/KE3Z61Vy8x6mnP/qZ7tM1bsVNMGKerW+uBrbnHpwdeG9vdNUttGaZr191MkSQ98tlgT5m3Q3PtP8yzT3Sg9Wcu35atvx4PDk7fs3a/5uXvUu10jlZYbNUxL9jz/brfR3v2lyi8qVeP6KSosKVfj+imeXvsdeUV6aeoqvT9nve44rbPOP6qN3Mb/sOAfVu7U7oJS9cpuqBe/X6kvFm5Rh6b1dVyHxpq1apc27dmvF/9ylErL3Dqze0vVT03SL+t26+H/LVFpmdHAI5p7jvXA54s1fu4GSdJNH/zq2b7sn2fq6cl/SJLer9TzesbzP+jmAR11WZ+DvfO78os1c8VOndOztRqkJnm9uf9tw17d8uF8ffjX4/Xr+j1KTUpQ9z//rysoLlN6SmLQH+i43UZFZeVKTHDpp9U5Oq5DY+UXlenWD3/zDAd+dfpqrXvybK/7TV68VSXlRh/MXq+f1+3W61f21pjpB+cePzl5uV6fcbA3s3KPm3Tgb611wzSvxYBKytxKSar6+fyMFTt1aNP6ym6croLiMtX/c65p5f0rfu/iAMMWi0oPvNZtzyvWpa/PVuuGabr3zMOVnJign9fu1oR5G/T4eUfq5MP8DyWvUFru9hoV4nYbv69HS7bk6uwXZ+mIlhn68tYTZXRgJeC+hzZRp+YNNH/DHo37aZ1GDe5S5YPUf3234uDxjfH6kHfSbSd6vg/0FO8uKJExxu85UO42SkxweV5fkv98YSgpdys1qebRLcYY/bBylzbkFOiBz5dUu29BcZkKS8q8XgP3FJTotRmrdWHvtjqshff/n8YYGaOw/o+zk8s4PXpbIC8vT1lZWcrNzVVmZqZtdRhjdP24X2xdtrRXdsMqn2b6ev+6YzVv7e6Ie558nX9UG038M7TUZPmjZ+qIByZ7bTunRyu9fPnR2ri7UCc9PS2o42SkJik/gt6Yiv882t83ye/2QCrvX9O+gZz5/A9a/ucnkZXf5AQ69tkvztSSLXl69LzuuvL4dkHXV/k4vtvP69Va5x/dtsr1SE4+rJneu/bYKvsvfuQMdX/omyqP9+nN/fxeRf3D649Tv05Nq601FEc+9I3n+b791M76atFWrQxibtI5PVrpy9+rzr359s6Tdc9/f9fewhLNuGegZ3thSZmenvxHld7gt4cfo2vfPfjJ6tGHNNTbw/voqcl/6KOfNwT9eww4vJnW5xTq6EMa6a8nd9BN7/+qO08/TEN7tdEpz05XflGZfr7/VLlcLv24apeueNN7UZeurTK1cXdhROd+KA5r0UDnH9VWT00ObbXLO087TP+asqLafQL9DR/atL46NW+gbwNckPW0Li00e/UuFURwnaBgHdEyQ28P76PkxASd/q8ZVT4IuqxPtuolJ/odPdAsI9WrJ/7zkSdo6Cs/VtmvOhcc1UYTF2z2hLLDW2TojwC94Nef2EGHNEnXg5XeBJ3UualmrtylC45uo/nr92jdn8Nkm2ekaodPz0fFa8X9Exfpw7lVz+lg/o+pzPdvr0fbLHVq3kCfzg/u/4rasu7Js6u8vtXkx/tO0QlPTg35sZo2SNWufVV7mP56Uge9MfPARUeH92uv/KIyz6qHvds1UrnbaNTgI/S/37fogzkb1Cu7obq1zvSEuMo6N2+glTv2qf9hzVQ/NVFfLao617hRerKeu6SX3pq1NqLh/b66tc7Uyu37VFJDz9Ux7Rrpl/Xec/jaNEyrEsJ8pSUnan+Qi6Z8f3d/fb1oq5751vt156TOTfXLuj3aX1qu07u28Ix4qdCzbZYu6ZOtf0xcrGcv7qm7/+P9QfeD53TVP79cWu1j33X6YXruO+/HbdsoLeLFbh44p6vmrMmpUrM/R7TMUFFpuSbddpJe/H6lXv/hQNj916U9dV6vNvrbf34PeWXN14Ydrd827tXtp3bW3/6z0HNuJbgOfIjz1W0n6ftl2/Xsn7/78kfP9PuBV7QFmw0ISlE0bfkOXROjK15F28uXH6VbPvzNa9sRLTPU/7Bmnj/saKh4U9Dx/q+8etKiEZQm/LxB9316YPjTqscHK+nPT7kqB6jKxy4sKdPK7fvUo21WjZ82BhuULjiqjc7o3tLTa1kho16SFj18RpX9lz96pro/9I3KfLqcxl9/XJU385I07tpj1b+GT/hCUTkoWeHG/od6PjX99OZ+OvqQA3PRnv32D70U5AcJ3VpnWnYtnwuObuN5A/nuNX004PDmuvi1nzRvXWQLBADBCvRaEW/8fVhXk+MPbeyZy+dk/gIJ4PtBX2257sQOeiDIS6/UpmCzAXOUoignCmOO44VvSJKk5dvyoxqSKqsf5oIMkbjkmGy9d+2xmv/A6Z6QJElf3HKi3rjqGC18cJDX/ukpSeqZ3dDSOTZ795f6HTpUef5WZQkul+48/bAq29fu8j+M6/hDG0dUXxUW9+hXXp1qbaWhaKGsOmnlBU8rf8q+cGOuZccFgrVoU90470INSZJiIiRJIiTBr1+i9IHbf37ZGJXHsUrMBKVXX31VHTp0UL169dS7d2/NnDnT7pJClhgzrQ1flcNHqp8x1r5O+XM8+78uDX9Vt4QEl04+rJka+8y9SElK0OldWygrvXbmRlV2YFJ71aTkb6lv6cCco3Q/ofK8o9r43T+YMdN2eufHdZ7vP/1tk0Z+OF8/rdqlqTYOn63wrykr1P6+SfQmIaqGvDzLMcsTA7DOuCAXFotUrC0CEROLOXz88ce644479Oqrr+qEE07Q66+/rsGDB2vp0qU65JCqSxc7FcsOx67KT93Sf1ZdaMLX28P7BJxs6QTVzWGo7L839dP0P6qGgp5tG/rdP8Hlf7EPKy4EG4xIL+5ZnR//XAhkkp+5TEBdcsbzVVcYBRDbojGfUwq8IJhTxUQfx3PPPafrrrtO119/vbp06aLnn39e2dnZGjNmjN2lhSTQstpwvsohN9iV2pwakiRp4sh+Qe0XaMJloCZwuVxV5idFUyl/YwAAOFawC284heODUklJiX799VcNGuQ9H2PQoEH66aeqq2hJUnFxsfLy8ry+nKDy2vmILdG4pkU0+VvSOBB/c5T2+FnevUKw1+QAAABwMscHpV27dqm8vFwtWrTw2t6iRQtt21Z1eUtJGj16tLKysjxf2dnZ0Si1Rv6uR4PYcH6AOTZ1Qfum9atsq26lul7ZjWqznGpZfV0mAABQdzk+KFXwHcZU3fyPUaNGKTc31/O1caMzVtgY3D3wBU3hPPeccbjn+4fP7aazj2ylmfcOrOYeseWCP8Pff27q69n28z9O1YPndNUD53TVW1cfI+nAhTcrLkJ8Ue+2atMwTdec0F6S9MZVx3ju+/qVvSVJJ3ZuqnN7ttY9ZxyuEzs11cuXHyVJWvHYYF3dt50+H3mCpAPLW1vN34WKAQCAM/xc6ULWscDx11EqKSlRenq6/vOf/+j888/3bL/99tu1YMECzZgxo8ZjOOU6SgAAAADsFTfXUUpJSVHv3r313XffeW3/7rvv1K9fcBPSAQAAACAUMbE8+F133aUrr7xSxxxzjPr27auxY8dqw4YNuummm+wuDQAAAEAciomgdOmllyonJ0f//Oc/tXXrVnXv3l1fffWV2rVrZ3dpAAAAAOKQ4+coWYE5SgAAAACkOJqjBAAAAADRRlACAAAAAB8EJQAAAADwQVACAAAAAB8EJQAAAADwQVACAAAAAB8EJQAAAADwQVACAAAAAB8EJQAAAADwQVACAAAAAB8EJQAAAADwQVACAAAAAB8EJQAAAADwQVACAAAAAB8EJQAAAADwQVACAAAAAB8EJQAAAADwkWR3AdFgjJEk5eXl2VwJAAAAADtVZIKKjBBInQhK+fn5kqTs7GybKwEAAADgBPn5+crKygp4u8vUFKXigNvt1pYtW5SRkSGXyxWVx8zLy1N2drY2btyozMzMqDxmvKENnYPnwhq0Y/TR5tagHZ2D5yJytGH0Oa3NjTHKz89X69atlZAQeCZSnehRSkhIUNu2bW157MzMTEecELGMNnQOngtr0I7RR5tbg3Z0Dp6LyNGG0eekNq+uJ6kCizkAAAAAgA+CEgAAAAD4ICjVktTUVD300ENKTU21u5SYRRs6B8+FNWjH6KPNrUE7OgfPReRow+iL1TavE4s5AAAAAEAo6FECAAAAAB8EJQAAAADwQVACAAAAAB8EJQAAAADwQVACAAAAAB8EJdhm/vz5ys/Pt7sMwDKc04hFnLeIN5zTsApBKQTbt2/XpEmTxIrqkdmyZYsGDRqkgQMHasGCBXaXU6dxTluDczr6OHcjx3nrHJzP1uCcjr54P3cJSkF6+eWX1bp1aw0ZMkRLliyxu5yYde+996pdu3ZKT0/XsmXLdNJJJ9ldUp3FOW0Nzuno49yNHOetc3A+W4NzOvrqxLlrUC23220mTZpkTj31VPPMM8+Yo48+2lx00UWmvLzc7tJiSklJibnllluMy+UyEyZM8Gzfvn27jVXVTZzT1uCcjj7O3chx3joH57M1OKejry6du0l2BzWnc7lcatGiha688kpdeOGF6tOnjwYMGKBvvvlGgwcPtru8mGCMUXJysk466SQtWrRIu3bt0vLlyzVq1Cjt2rVLCQkJuuKKKzR8+HClpKTYXW7c45yOHOe0PTh3I8N56yycz5HjnLZHXTp3XcbE6aDCMOXl5Wnp0qXKzs5WmzZt/O5z6aWXauXKlZoxY4YyMjKiXGFsKCkpUXl5udLS0lReXq7ExESVlZXpzjvv1H//+1+VlpZq2LBhOvTQQ7VkyRKNGzdOTzzxhEaMGKG0tDS7y48rnNPW4JyOPs7dyHHeOgfnszU4p6OvTp+7dnZnOc0TTzxhMjMzTffu3U1mZqZ5/vnnzaZNm4wxxpSVlXm6FFevXm3S0tLMiy++aGe5jvXkk0+aww47zEyePNmzrayszBhjzOzZs83VV19tvvjiC6/73HbbbaZnz55m0aJFUa013nFOW4NzOvo4dyPHeescnM/W4JyOvrp+7hKU/vTVV1+ZLl26mIkTJ5o1a9aYxx9/3HTr1s1ce+21nn3cbrfn+//7v/8zLVq0MBs3bjTGGFNQUGD27dsX9bqdJCcnx9x0002mR48eJjMz01xwwQVm586dxhjvtvv9999NUVGRMcZ4/sC2bdtmXC6XmTt3bvQLj1Oc05HjnLYH525kOG+dhfM5cpzT9uDcJSh53Hbbbeaoo47y2vbSSy+Zww8/3IwdO9YYc/BTC2OM2bdvn2nXrp257bbbzHvvvWdOPPFE8+9//zuqNTvNmjVrzL333msmTZpkZs6caVwul/noo488L1aV/5gqVGz76KOPTPPmzc3ChQujWnM845yOHOe0PTh3I8N56yycz5HjnLYH5y5ByRhz4FOHESNGmMsuu8zzSYQxxmzZssXceOONpmfPniY/P9+zb4WHHnrIuFwuk5KSYkaNGhX1up2mrKzMrF+/3vPzJZdcYnr06GHWrl3rd/+KF7Fly5aZQYMGmb/+9a/RKLNO4Jy2Bud09HHuRo7z1jk4n63BOR19nLsH1PmgVPHHNHr0aJOdnV3lj+6LL74wxxxzjCc5G3MgMY8cOdK4XC5z3XXXmT179kSxYueraNOcnByTnJxsRo8e7fVHZsyB7thHHnnEDB8+3KSnp5srrrjC5OXl2VFu3OGcth7ndHRw7lqL89ZenM/W45yODs7dg+r8BWfdbrck6Y477lBubq7Gjx/vdfuAAQOUkJCgnJwcz7Zdu3YpIyNDM2fO1JtvvqmGDRtGs2RHMpUWT3S5XCorK1Pjxo31j3/8Q88995yWLVvmtW96eroaNWqkffv2acaMGfrggw/ia5UUG3FOW4NzuvYUFRX53c65G7xAbch5G307duzwavcKnM+hCdSOnNO155dffvG8llRuZ87dSmwKaFGzceNGM378ePPTTz950m1FUi4tLfXa95lnnjEZGRlm3rx5Xtt79eplbr755qjU61TBtmPFWNXKY1bbtGljbrjhBrN7927zzTffmHfffdcYY+LywmTRsGXLFnPRRReZjz/+2Bjj3dac08ELth05p62zZs0a06NHD/PAAw9UuY1zNzjBtiHnbe1bs2aNGTJkiBk+fLhZvHix122cz8ELth05p62zevVqc+655xqXy2XGjRvndRvnrre4DUput9vcdtttJiMjw/Tv39/Ur1/fXHPNNWbLli1V9rv33nvN+++/b4wxpnfv3ubUU081kyZNMsYY8+uvv5qePXuab7/9Nuq/gxOE2o4ffPCB5wWq4sXs008/NYmJiebII480LpfLvPLKK1H/PeLJo48+alwulzn++ONNQUGBMcb7PwXO6eAE246c05Fzu93mxhtvNElJSeaiiy7yrFblbz/OXf9CbUPO29pR8QHhuHHjTKNGjcwll1xi5s2bZ7Zt2+Z1e8X3nM/+hdOOnNORc7vdZsSIESYhIcGce+65pmHDhuaTTz4xxvA+IpC4DEpr1641AwYMMCeccIKZPXu2KSoqMmPHjjXdu3c3U6ZM8ez37rvvmsaNG5tevXqZ+fPnG2OMWbp0qTn//PNNSkqKGTRokElPTzeXXXaZ541UXRJOO/7+++9ex9i0aZO59957jcvlMpdddplnyUiEb/Dgweayyy4zJ598snnwwQeNMQdf4DingxdsO3JOR2blypWmUaNGplu3bp5z0h/O3cDCaUPO29pTXl5uzjzzTPPcc895tvmek++88w7ncw1CbUfO6chMnDjRpKWlmWOPPdbMmTPHGGNM3759zfXXX2+MORhOeS32FjdBqfKnDytXrjTPP/+8Wb58uWfbjh07TM+ePT2rpuzfv9888sgjZsyYMZ5PJiqOkZuba7799lvz8ssvm1mzZkXxt7CfFe1Yobi42Nxxxx2mcePGZtq0aVGpP574Lnda0R1+7bXXmokTJ5pRo0aZLl26mKVLlxpjjMnLyzOPPfaYefXVVzmnK7GiHStwTgencpuvW7fOdOvWzdx4443GGGN+/PFHc9ddd5nHH3/cfP31155Vkx566CFejyuxog0rcN5Gxvc15PvvvzedO3c2paWl5scffzTnnnuuOeOMM8zIkSPN7NmzjTHGPPzww7wW+7CiHStwTgencpuPHTvW03tkjDGFhYVm2LBh5oILLvAEnn379plHH32U1+JKXMb4mTkXY/bv36+EhASlpqZKOjDJtaioyDORbPv27Ro2bJi2bNmi448/XkOHDtW5555rY8XOVBvtuH37drVo0aK2S487vs+FMUYul0uS1KNHD02YMEGFhYW69957deSRR+r//b//p5UrV+qII45QYmKinaU7Sm20I+d09Xzb3O1267PPPtNFF12kQYMGafny5TrmmGO0atUq7dy5U6effrreffdde4t2mNpoQ87b8Pg+F5I0d+5cnX322XrzzTf1+OOP67TTTlO9evU0depULVq0SEuXLlXLli1trNp5aqMdOaer5+91JCHhwBpu5eXlSkxM1J133qmpU6dq4cKFnv8fK+8Hxf5iDvfdd585+uijzWmnnWZeeOEFk5ub63X7ihUrTL169czgwYPNu+++ay644AJz2GGHmccff9wYw4S/CrSjcwR6LsrLy82mTZu85tQ899xzpmnTpsblcpkXXnjBFBcX21m6o9CO0ReozXfv3m2uuuoqc8IJJ5iFCxd6lvMdO3asOfzww82rr75qjOF1xBja0EkCPRezZ882p556qunTp4+5/vrrPW2el5dnunfvbq655hpjjKnSC1JX0Y7R59vmFcujV7Rxxb+TJk0ymZmZXteogreYDUrFxcXmoosuMl27djUTJkwwV111lenatas5++yzq+y7YMECz/dlZWXm7rvvNv369TOFhYXRLNmRaEfnCOa5yM3NNSeddJIpLCw0n376qWncuLHJysoyPXv29Ozj7wrldQntGH2B2vyss87y7LNs2TIzb94843a7Pf9J5+TkmHPOOcfccMMNdf7NEG3oHIGei8GDBxtjDsyjOf/8843L5fJcR6ai7d966y3Tpk0bz3DIuox2jL5Q3tMZY8znn39uOnToUKeG0oUqZoPS0qVLTefOnb1W3Jg1a5ZJS0szTz/9dLVvcoYOHWrOOussU1JSUuffDNGOzlHTc2HMgTHdrVq1Mt27dzcNGzY0zzzzjHn99ddNr169PKv91PVPlGnH6AumzX1VvGZ06tTJ3HTTTVGp08loQ+eo7rkYPXq0McaYr776yjRp0sScfvrpXve97777zIABA0xBQUGd/3+Rdoy+YN/TVf6gJSUlxXz55Zde23FQzAalX3/91bhcLpOTk2OM8b6KcKNGjcyKFSv83m/27Nnm5JNPNh9++GHUanUy2tE5qnsuGjZsaNasWWNKS0tN165dzQ033OC5UvaWLVvMJZdcYk4++eQqVyivi2jH6Av3deTrr782ffr0MT/++GPUanUq2tA5qnsusrKyzOrVq40xBxYaaNKkiXnggQfMihUrzPLly03//v3NP//5T9tqdxLaMfpCfR3Zu3evOfnkk83dd98d9VpjRcwGpd9++81069bNvPTSS8aYgydDSUmJ6dChg+dJLy8vN0uWLDHTp083N910k8nIyDB33HGHKSkpsa12J6EdnaO656J9+/bmjjvuMMYYs3379iqfsC1ZsoQ393+iHaMvlNeRRYsWmalTp5obb7zRZGVlmfvuu48hY4Y2dJKanouK15Bt27aZsWPHmoYNG5ru3bubjIwMc8011/Aa8ifaMfqCfR2pWP21rKzMdO7c2dx00028nwvAsUGppq7W3bt3m/POO89ceumlnoufVjzxzz77rGndurWnC/Gjjz4yZ599thk0aJBZuHBh7RbuMLSjc0T6XLRq1apKt3hdHJJAO0afla8j48aNMwMHDjQDBw70mvcY72hD57D6NWTz5s1mzpw5ZuXKlbVXtAPRjtFn5etIxYcr7733nvnjjz9qserY5sj1/3bs2KH8/HzPz2632/N9WVmZJKlRo0YaMmSIli9frn//+9+SpKSkJElSVlaWGjVqpPXr10uShg4dqpdfflnffPONevToEa1fw3a0o3NY8Vw0btxYGzdu9DpuxVLXdQXtGH1Wv45ceOGFeuONNzR16lT17NkzWr+GrWhD57DyNcT8eXWV1q1b67jjjlOnTp2i9WvYjnaMPqteRyr+/6u4BMaVV16pww47LCq/QyxyVFAqKyvTddddp2OPPVannXaarrjiCuXk5Hit556UlKSioiJNmDBB1157rXr16qWPP/5Y06ZN8+yzadMmNWvWTB06dJAkpaWlqX379tH+dWxDOzqH1c9Fu3bt7Pg1bEc7Rl9tvY7Ur19fHTt2jPrvYwfa0Dlq4zWkLn7AQjtGH///2czuLq0KpaWl5oorrjDHH3+8mT59unnuuedM9+7dzYknnmiWLl3q2e+FF14wjRs3NkOHDjXGGLNw4UJzxRVXmJSUFDNixAhzww03mIyMDDNmzBhjTN0bUkM7OgfPhTVox+ijzSNHGzoHz4U1aMfoo83t55igtGHDBtO5c2fz/vvve7Zt3brVtGnTxtx6661m9+7d5p133jGHHHKIGT9+vNe4VrfbbZ544gnz17/+1Zx11ll1evUf2tE5eC6sQTtGH20eOdrQOXgurEE7Rh9tbj/HBKXffvvNpKWleSbxVax28vLLL5vOnTub//3vf8btdpuCggKv+5GKvdGOzsFzYQ3aMfpo88jRhs7Bc2EN2jH6aHP72TJHaezYsXrjjTf0ww8/eLZ17txZLVu21AcffCBJnrGXI0eOVFZWlj755BMVFxcrPT3d61h1eWwr7egcPBfWoB2jjzaPHG3oHDwX1qAdo482d6hoprIPP/zQNG/e3PTt29f06tXLNGvWzDz22GPGGGNyc3PN3//+d9O5c2ezfft2Y4wx+/fvN8YY8/7775usrCzPz3Ud7egcPBfWoB2jjzaPHG3oHDwX1qAdo482d7aoBaXx48ebnj17mtdee80Yc2C9/JdeesnUr1/f5ObmGmOM+e6770yfPn3MzTffbIw52HU4bdo007x5c67dY2hHJ+G5sAbtGH20eeRoQ+fgubAG7Rh9tLnz1frQO/Pn+vilpaU67rjjdNVVV0k6sF7+UUcdpTZt2mjp0qWSpBNPPFGXX365xo0bp4kTJ6q0tFSS9OOPP6pr16468sgja7tcx6IdnYPnwhq0Y/TR5pGjDZ2D58IatGP00eYxpLYS2K+//mr27Nnj+Xnv3r2eqwBXWLBggWnZsqXZvXu3Z1teXp659957TUZGhunfv7+5+OKLTVpamnnllVeMMXVvghrt6Bw8F9agHaOPNo8cbegcPBfWoB2jjzaPPUlWB69PPvlEd9xxh1JTU1VaWqqrr75aI0eOVIsWLSQduJJwxWS0qVOnqmPHjmrUqJFKSkqUkpKijIwMPfXUU+rTp48WL16s7du3a/78+TriiCMk1Z0JarSjc/BcWIN2jD7aPHK0oXPwXFiDdow+2jyGWZm65s2bZ4444gjz/PPPm4ULF5pXX33VNGvWzIwYMcLk5OQYY4wpLy83paWlxhhjzj//fDNy5EgrS4gLtKNz8FxYg3aMPto8crShc/BcWIN2jD7aPLZZEpQquvzGjBlj2rZt65mAZsyBtd6PP/548+ijj3q2lZeXG7fbbTp27Gi+/PJLY4wxf/zxh7nsssvMhg0brCgpJtGOzsFzYQ3aMfpo88jRhs7Bc2EN2jH6aPP4YMliDhVdfmvXrtVhhx2mpKSDI/qGDx+u3r176+uvv9aSJUskHVgHft68eUpPT9fRRx+tO+64Qz169FBOTo6aN29uRUkxiXZ0Dp4La9CO0UebR442dA6eC2vQjtFHm8eHsILSd999p9tuu00vvPCCfv75Z8/2E044QT/99JO2bdsmSSovL1f9+vU1dOhQuVwuffvtt559v/rqKy1evFiHH364vvvuO/3444/69ttvlZqaGuGvFDtoR+fgubAG7Rh9tHnkaEPn4LmwBu0YfbR5fAopKG3dulVDhgzRsGHDtHv3br311lsaNGiQ54QYNGiQ2rdvr6eeekrSwTR9+umnKyEhQatWrfIcKzk5WU2bNtW7776rJUuWqHfv3lb9To5HOzoHz4U1aMfoo80jRxs6B8+FNWjH6KPN41ywY/QKCgrM1VdfbS699FKzZs0az/Y+ffqY4cOHG2OMKSsrM++9955JSEgwP/74o9f9r7jiCjNgwADPzzt27Ih02GBMoh2dg+fCGrRj9NHmkaMNnYPnwhq0Y/TR5vEv6B6l9PR0paamavjw4erQoYPKysokSeecc46WLVsmSUpMTNQll1yioUOH6vrrr9eMGTNkjNG2bdu0cuVKDRs2zHO8Zs2aWRz5YgPt6Bw8F9agHaOPNo8cbegcPBfWoB2jjzaPfy5j/rw8cBBKS0uVnJws6cBVhV0ul6688kqlpaVp7Nixnm1FRUUaPHiwli5dql69emnx4sU65JBD9O9//1vZ2dm19svECtrROXgurEE7Rh9tHjna0Dl4LqxBO0YfbR7fQgpK/px88sm69tprNXz4cBlj5Ha7lZiYqO3bt+v333/XvHnz1L59e11++eVW1RyXaEfn4LmwBu0YfbR55GhD5+C5sAbtGH20efyIKCitWbNG/fr106RJkzwTziquIozg0Y7OwXNhDdox+mjzyNGGzsFzYQ3aMfpo8/gS1vLgFdlq1qxZatCggedEeOSRR3T77bdrx44d1lUYx2hH5+C5sAbtGH20eeRoQ+fgubAG7Rh9tHl8Sqp5l6oqljb8+eefdeGFF+q7777TDTfcoMLCQr3//vtcGCtItKNz8FxYg3aMPto8crShc/BcWIN2jD7aPE6Fu1ze/v37TadOnYzL5TKpqanmySefDPdQdRrt6Bw8F9agHaOPNo8cbegcPBfWoB2jjzaPPxHNUTr99NPVuXNnPffcc6pXr56V+a1OoR2dg+fCGrRj9NHmkaMNnYPnwhq0Y/TR5vEloqBUXl6uxMREK+upk2hH5+C5sAbtGH20eeRoQ+fgubAG7Rh9tHl8iXh5cAAAAACIN2GtegcAAAAA8YygBAAAAAA+CEoAAAAA4IOgBAAAAAA+CEoAAAAA4IOgBAAAAAA+CEoAAEdwuVwhfbVv316SNGDAALlcLq1bt87W+gEA8SXJ7gIAAJCkq6++usq2WbNmafXq1erZs6d69erldVvTpk2jVBkAoC7igrMAAMcaPny4xo0bp4ceekgPP/yw3302bNigwsJCdezYUcnJydEtEAAQt+hRAgDEtEMOOcTuEgAAcYg5SgCAmBZojlLFPKaysjI9+uij6tSpk9LS0tSlSxe98847nv2mTp2qgQMHKjMzU40aNdJVV12lnJwcv49VUlKiF154QX369FFGRobq16+vY489Vm+99ZYYoAEA8YUeJQBAXLvkkks0ZcoU9e3bVx07dtSMGTN07bXXSpIyMjL0l7/8RT179tTpp5+uuXPn6v3339fatWv1ww8/yOVyeY5TUFCgwYMHa+bMmWratKlOPPFEJSQkaPbs2br++us1b948vfbaa3b9mgAAixGUAABxa/369crIyNDSpUvVtm1bSdK0adN0yimn6B//+IdKSko0YcIEXXjhhZKkvLw89evXT7NmzdL06dM1cOBAz7HuuecezZw5U1deeaVeffVVNWjQQJK0c+dODRkyRK+//rqGDBmis88+O/q/KADAcgy9AwDEtRdffNETkiRp4MCBOvroo7V161adffbZnpAkSZmZmbrhhhskSTNmzPBs37Fjh95880116NBBb7zxhickSVKzZs30+uuvS5LnXwBA7CMoAQDiVkpKivr3719l+6GHHipJOv3006vc1rFjR0nS1q1bPdtmzJih0tJSnXnmmUpNTa1yn549eyojI0Pz5s2zqnQAgM0ISgCAuNWyZUslJFT9r65+/fqSpDZt2gS8rbi42LOtYqGIMWPGBLwAbn5+vnbt2lULvwUAwA7MUQIAxK3KizGEc3uF8vJySdJRRx2lHj16RFwXAMD5CEoAANSgYo7TgAED9Nxzz9lcDQAgGhh6BwBADQYOHKjExER9+eWXnt4lAEB8IygBAFCDNm3aaPjw4Vq5cqWuvPJKv3ORfvrpJ3311Vc2VAcAqA0MvQMAIAgvvvii1qxZo48++khffvmlevXqpdatW2vbtm1atWqVNm/erNtvv11nnXWW3aUCACxAUAIAIAjp6en69ttvNW7cOL3//vv6/fffNXfuXDVv3lwdO3bU7bffrr/85S92lwkAsIjLGGPsLgIAAAAAnIQ5SgAAAADgg6AEAAAAAD4ISgAAAADgg6AEAAAAAD4ISgAAAADgg6AEAAAAAD4ISgAAAADgg6AEAAAAAD4ISgAAAADgg6AEAAAAAD4ISgAAAADgg6AEAAAAAD4ISgAAAADg4/8DXWh4ulz/WvMAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10,8))\n", "df['residual'] = df[1] - df[2]\n", "df['mse'] = (df[1] - df[2])**2\n", "df.plot(x = 0, y='mse', figsize=(10,8), title = 'Mean Squared Error', ax = ax)\n", "ax.set_xlabel('Time', fontsize=15)\n", "ax.set_ylabel('MSE', fontsize = 15)\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.mixture import GaussianMixture\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.decomposition import PCA\n", "\n", "\n", "# Generating random data for demonstration\n", "np.random.seed(0)\n", "X = test_predict1 - y_test\n", "\n", "\n", "pca = PCA(n_components=2)\n", "X = pca.fit_transform(X)\n", "\n", "\n", "# Creating the GMM instance with desired number of clusters\n", "gmm = GaussianMixture(n_components=2)\n", "\n", "# Fitting the model to the data\n", "gmm.fit(X)\n", "\n", "# Getting the cluster labels\n", "labels = gmm.predict(X)\n", "\n", "# Plotting the data points with colors representing different clusters\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, cmap='viridis', alpha=0.5)\n", "plt.title('GMM Clustering')\n", "plt.xlabel('Feature 1')\n", "plt.ylabel('Feature 2')\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['pca_vav_2.pkl']" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.cluster import KMeans\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.decomposition import PCA\n", "\n", "# Generating random data for demonstration\n", "np.random.seed(0)\n", "X = (test_predict1 - y_test)\n", "\n", "k = 2\n", "\n", "pca = PCA(n_components=2)\n", "X = pca.fit_transform(X)\n", "\n", "kmeans = KMeans(n_clusters=k)\n", "\n", "kmeans.fit(X)\n", "\n", "\n", "\n", "# Getting the cluster centers and labels\n", "centroids = kmeans.cluster_centers_\n", "# centroids = pca.transform(centroids)\n", "labels = kmeans.labels_\n", "\n", "# Plotting the data points and cluster centers\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, cmap='viridis', alpha=0.5)\n", "plt.scatter(centroids[:, 0], centroids[:, 1], marker='x', c='red', s=200, linewidths=2)\n", "plt.text(centroids[0,0]+0.2, centroids[0,1]+0.5, 'Normal', fontsize=12, color='red')\n", "plt.text(centroids[1,0]+0.5, centroids[1,1]+0.2, 'Anomaly', fontsize=12, color='red')\n", "plt.title('KMeans Clustering')\n", "plt.xlabel('Feature 1')\n", "plt.ylabel('Feature 2')\n", "plt.tight_layout()\n", "\n", "joblib.dump(kmeans, 'kmeans_vav_2.pkl')\n", "joblib.dump(pca, 'pca_vav_2.pkl')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(391787, 31)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(test_predict1 - y_test).shape" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "k = 60\n", "X= test_predict1 - y_test\n", "processed_data = []\n", "feat_df = pd.DataFrame(columns=[\"mean\",\"std\",])\n", "for i in range(0,len(X), 60):\n", " mean = X[i:i+k].mean(axis = 0)\n", " std = X[i:i+k].std(axis = 0)\n", " max = X[i:i+k].max(axis = 0)\n", " min = X[i:i+k].min(axis = 0)\n", " iqr = np.percentile(X[i:i+k], 75, axis=0) - np.percentile(X[i:i+k], 25,axis=0)\n", " data = np.concatenate([mean, std, max, min, iqr])\n", " processed_data.append([data])\n", "processed_data = np.concatenate(processed_data,axis=0) " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = processed_data\n", "\n", "kmeans = KMeans(n_clusters=2, algorithm='elkan', max_iter=1000, n_init = 5)\n", "\n", "kmeans.fit(X)\n", "\n", "pca = PCA(n_components=2)\n", "X = pca.fit_transform(X)\n", "\n", "\n", "# Getting the cluster centers and labels\n", "centroids = kmeans.cluster_centers_\n", "centroids = pca.transform(centroids)\n", "labels = kmeans.labels_\n", "\n", "# Plotting the data points and cluster centers\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, cmap='viridis', alpha=0.5)\n", "plt.scatter(centroids[:, 0], centroids[:, 1], marker='x', c='red', s=200, linewidths=2)\n", "plt.title('KMeans Clustering')\n", "plt.xlabel('Feature 1')\n", "plt.ylabel('Feature 2')\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.mixture import GaussianMixture\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.decomposition import PCA\n", "\n", "# Generating random data for demonstration\n", "np.random.seed(0)\n", "X = processed_data\n", "\n", "# Creating the GMM instance with desired number of clusters\n", "gmm = GaussianMixture(n_components=2, init_params='k-means++')\n", "\n", "# Fitting the model to the data\n", "gmm.fit(X)\n", "labels = gmm.predict(X)\n", "\n", "\n", "pca = PCA(n_components=2)\n", "X = pca.fit_transform(X)\n", "\n", "\n", "# Getting the cluster labels\n", "\n", "# Plotting the data points with colors representing different clusters\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, cmap='viridis', alpha=0.5)\n", "plt.title('GMM Clustering')\n", "plt.xlabel('Feature 1')\n", "plt.ylabel('Feature 2')\n", "plt.show()\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.cluster import KMeans\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "# Generating random data for demonstration\n", "np.random.seed(0)\n", "X = test_predict1 - y_test \n", "\n", "kmeans = KMeans(n_clusters=2)\n", "\n", "kmeans.fit(X)\n", "\n", "\n", "pca = PCA(n_components=2)\n", "X = pca.fit_transform(X)\n", "\n", "\n", "\n", "# Getting the cluster centers and labels\n", "centroids = kmeans.cluster_centers_\n", "centroids = pca.transform(centroids)\n", "labels = kmeans.labels_\n", "\n", "# Plotting the data points and cluster centers\n", "plt.figure()\n", "plt.scatter(X[:, 0], X[:, 1], c=labels, cmap='viridis', alpha=0.5)\n", "plt.scatter(centroids[:, 0], centroids[:, 1], marker='x', c='red', s=200, linewidths=2)\n", "plt.text(centroids[0,0], centroids[0,1], 'Normal', fontsize=12, color='red')\n", "plt.text(centroids[1,0], centroids[1,1], 'Anomaly', fontsize=12, color='red')\n", "plt.title('KMeans Clustering')\n", "plt.xlabel('Feature 1')\n", "plt.ylabel('Feature 2')\n", "plt.show()\n" ] } ], "metadata": { "kernelspec": { "display_name": "tensorflow", "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": "3.11.8" } }, "nbformat": 4, "nbformat_minor": 2 }