AIM-PIbd-32-Fedorenko-G-Y/lab_2/lab2.ipynb
2024-10-26 11:45:35 +04:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"from sklearn.model_selection import train_test_split\n",
"from imblearn.over_sampling import RandomOverSampler\n",
"from imblearn.under_sampling import RandomUnderSampler"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **Diamonds Prices 2022**\n",
"В данном наборе данных представлена цена на алмазы. \n",
"Проблемная область: ценообразование бриллиантов\n",
"Объект наблюдения: бриллиант\n",
"Атрибуты: идентификатор, вес, качество огранки, цвет, чистота, общая глубина, ширина верхней грани, цена, длина, ширина, высота.\n",
"Бизнес-цели:\n",
"Повышение эффективности маркетинговых кампаний: Цель: Использование данных о бриллиантах для разработки целевых маркетинговых кампаний, направленных на конкретные сегменты рынка."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Index(['Unnamed: 0', 'carat', 'cut', 'color', 'clarity', 'depth', 'table',\n",
" 'price', 'x', 'y', 'z'],\n",
" dtype='object')\n"
]
}
],
"source": [
"df = pd.read_csv(\"..//static//csv//DiamondsPrices2022.csv\")\n",
"print(df.columns)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 6))\n",
"sns.boxplot(x=df['carat'])\n",
"plt.title('Box Plot для carat')\n",
"plt.xlabel('carat')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Визуализация данных после обработки\n",
"plt.figure(figsize=(10, 6))\n",
"plt.scatter(df[\"price\"], df[\"carat\"])\n",
"plt.xlabel(\"price\")\n",
"plt.ylabel(\"carat\")\n",
"plt.title(\"Scatter Plot of Price vs Carat\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Удаление строк с пустыми значениями"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"df_cleaned = df.dropna()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Разбиение набора данных на обучающую, контрольную и тестовую выборки"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Размер обучающей выборки: 32365\n",
"Размер контрольной выборки: 10789\n",
"Размер тестовой выборки: 10789\n"
]
}
],
"source": [
"# Разделение на обучающую и тестовую выборки\n",
"train_df, test_df = train_test_split(df_cleaned, test_size=0.2, random_state=42)\n",
"\n",
"# Разделение обучающей выборки на обучающую и контрольную\n",
"train_df, val_df = train_test_split(train_df, test_size=0.25, random_state=42)\n",
"\n",
"print(\"Размер обучающей выборки:\", len(train_df))\n",
"print(\"Размер контрольной выборки:\", len(val_df))\n",
"print(\"Размер тестовой выборки:\", len(test_df))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Оценка сбалансированности выборок"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Распределение price в обучающей выборке:\n",
"price\n",
"789 80\n",
"605 79\n",
"544 72\n",
"552 72\n",
"828 71\n",
" ..\n",
"9942 1\n",
"7787 1\n",
"18663 1\n",
"7979 1\n",
"8164 1\n",
"Name: count, Length: 9496, dtype: int64\n",
"\n",
"Распределение price в контрольной выборке:\n",
"price\n",
"625 34\n",
"828 31\n",
"605 30\n",
"789 26\n",
"544 26\n",
" ..\n",
"4188 1\n",
"7541 1\n",
"3498 1\n",
"3314 1\n",
"12196 1\n",
"Name: count, Length: 5383, dtype: int64\n",
"\n",
"Распределение price в тестовой выборке:\n",
"price\n",
"802 33\n",
"844 29\n",
"776 29\n",
"675 26\n",
"645 25\n",
" ..\n",
"1567 1\n",
"5529 1\n",
"2031 1\n",
"417 1\n",
"5431 1\n",
"Name: count, Length: 5338, dtype: int64\n",
"\n"
]
}
],
"source": [
"def check_balance(df, name):\n",
" counts = df['price'].value_counts()\n",
" print(f\"Распределение price в {name}:\")\n",
" print(counts)\n",
" print()\n",
"\n",
"check_balance(train_df, \"обучающей выборке\")\n",
"check_balance(val_df, \"контрольной выборке\")\n",
"check_balance(test_df, \"тестовой выборке\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Выполним овер- и андер- слемпинг."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Распределение price в обучающей выборке после oversampling:\n",
"price\n",
"5076 80\n",
"1789 80\n",
"3931 80\n",
"1263 80\n",
"2026 80\n",
" ..\n",
"3678 80\n",
"4592 80\n",
"516 80\n",
"7152 80\n",
"2353 80\n",
"Name: count, Length: 9496, dtype: int64\n",
"\n",
"Распределение price в контрольной выборке после oversampling:\n",
"price\n",
"966 34\n",
"13638 34\n",
"3669 34\n",
"1052 34\n",
"2818 34\n",
" ..\n",
"4032 34\n",
"544 34\n",
"3362 34\n",
"6559 34\n",
"792 34\n",
"Name: count, Length: 5383, dtype: int64\n",
"\n",
"Распределение price в тестовой выборке после oversampling:\n",
"price\n",
"3742 33\n",
"559 33\n",
"8403 33\n",
"1238 33\n",
"1243 33\n",
" ..\n",
"1149 33\n",
"2401 33\n",
"958 33\n",
"702 33\n",
"14618 33\n",
"Name: count, Length: 5338, dtype: int64\n",
"\n"
]
}
],
"source": [
"def oversample(df):\n",
" X = df.drop(\"price\", axis=1)\n",
" y = df[\"price\"]\n",
"\n",
" oversampler = RandomOverSampler(random_state=42)\n",
" X_resampled, y_resampled = oversampler.fit_resample(X, y) # type: ignore\n",
"\n",
" resampled_df = pd.concat([X_resampled, y_resampled], axis=1)\n",
" return resampled_df\n",
"\n",
"\n",
"train_df_oversampled = oversample(train_df)\n",
"val_df_oversampled = oversample(val_df)\n",
"test_df_oversampled = oversample(test_df)\n",
"\n",
"check_balance(train_df_oversampled, \"обучающей выборке после oversampling\")\n",
"check_balance(val_df_oversampled, \"контрольной выборке после oversampling\")\n",
"check_balance(test_df_oversampled, \"тестовой выборке после oversampling\")"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Распределение price в обучающей выборке после undersampling:\n",
"price\n",
"18823 1\n",
"326 1\n",
"327 1\n",
"336 1\n",
"337 1\n",
" ..\n",
"353 1\n",
"351 1\n",
"348 1\n",
"345 1\n",
"344 1\n",
"Name: count, Length: 9496, dtype: int64\n",
"\n",
"Распределение price в контрольной выборке после undersampling:\n",
"price\n",
"18804 1\n",
"334 1\n",
"345 1\n",
"351 1\n",
"352 1\n",
" ..\n",
"373 1\n",
"371 1\n",
"369 1\n",
"367 1\n",
"366 1\n",
"Name: count, Length: 5383, dtype: int64\n",
"\n",
"Распределение price в тестовой выборке после undersampling:\n",
"price\n",
"18803 1\n",
"335 1\n",
"336 1\n",
"337 1\n",
"358 1\n",
" ..\n",
"386 1\n",
"384 1\n",
"380 1\n",
"378 1\n",
"375 1\n",
"Name: count, Length: 5338, dtype: int64\n",
"\n"
]
}
],
"source": [
"def undersample(df):\n",
" X = df.drop('price', axis=1)\n",
" y = df['price']\n",
" \n",
" undersampler = RandomUnderSampler(random_state=42)\n",
" X_resampled, y_resampled = undersampler.fit_resample(X, y)\n",
" \n",
" resampled_df = pd.concat([X_resampled, y_resampled], axis=1)\n",
" return resampled_df\n",
"\n",
"train_df_undersampled = undersample(train_df)\n",
"val_df_undersampled = undersample(val_df)\n",
"test_df_undersampled = undersample(test_df)\n",
"\n",
"check_balance(train_df_undersampled, \"обучающей выборке после undersampling\")\n",
"check_balance(val_df_undersampled, \"контрольной выборке после undersampling\")\n",
"check_balance(test_df_undersampled, \"тестовой выборке после undersampling\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **14,400 Classic Rock Tracks (with Spotify Data)**\n",
"\n",
" Этот набор данных, содержащий 1200 уникальных альбомов и 14 400 треков. Каждый трек каталогизирован с 18 столбцами данных, такие как название трека, исполнитель, альбом и год выпуска. \n",
" Бизнес-цель: улучшение стратегии маркетинга и продвижения музыкальных треков, создание алгоритмов, которые будут рекомендовать пользователям музыку на основе их предпочтений. \n",
" Цель технического проекта: Разработать и внедрить систему рекомендаций, которая будет предсказывать и рекомендовать пользователям музыкальные треки на основе их предпочтений и поведения. \n",
" Входные данные: \n",
" Данные о пользователях: Идентификатор пользователя, история прослушиваний, оценки треков, время прослушивания, частота прослушивания.\n",
" Данные о треках: Атрибуты треков (название, исполнитель, альбом, год, длительность, танцевальность, энергичность, акустичность и т.д.).\n",
" Данные о взаимодействии: Время и частота взаимодействия пользователя с определенными треками. \n",
" Целевой признак: Рекомендации: Булева переменная, указывающая, должен ли конкретный трек быть рекомендован пользователю (1 - рекомендуется, 0 - не рекомендуется)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Выгрузка данных из csv файла \"Данные о клиентах\" в датафрейм"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Index(['Track', 'Artist', 'Album', 'Year', 'Duration', 'Time_Signature',\n",
" 'Danceability', 'Energy', 'Key', 'Loudness', 'Mode', 'Speechiness',\n",
" 'Acousticness', 'Instrumentalness', 'Liveness', 'Valence', 'Tempo',\n",
" 'Popularity'],\n",
" dtype='object')\n"
]
}
],
"source": [
"df = pd.read_csv(\"..//static//csv//UltimateClassicRock.csv\")\n",
"print(df.columns)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Анализируем датафрейм при помощи \"ящика с усами\". Есть смещение в сторону меньших значений, это можно исправить при помощи oversampling и undersampling."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Box plot для столбца 'Popularity'\n",
"plt.figure(figsize=(10, 6))\n",
"sns.boxplot(x=df['Popularity'])\n",
"plt.title('Box Plot для Popularity')\n",
"plt.xlabel('Popularity')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Решим проблему пустых значений при помощи удаления таких строк."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"df_cleaned = df.dropna()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Разбиение набора данных на обучающую, контрольную и тестовую выборки"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Размер обучающей выборки: 8650\n",
"Размер контрольной выборки: 2884\n",
"Размер тестовой выборки: 2884\n"
]
}
],
"source": [
"# Разделение на обучающую и тестовую выборки\n",
"train_df, test_df = train_test_split(df_cleaned, test_size=0.2, random_state=42)\n",
"\n",
"# Разделение обучающей выборки на обучающую и контрольную\n",
"train_df, val_df = train_test_split(train_df, test_size=0.25, random_state=42)\n",
"\n",
"print(\"Размер обучающей выборки:\", len(train_df))\n",
"print(\"Размер контрольной выборки:\", len(val_df))\n",
"print(\"Размер тестовой выборки:\", len(test_df))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Оценка сбалансированности выборок"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Распределение Popularity в обучающей выборке:\n",
"Popularity\n",
"23 258\n",
"15 250\n",
"26 246\n",
"21 245\n",
"14 245\n",
" ... \n",
"84 1\n",
"87 1\n",
"91 1\n",
"79 1\n",
"86 1\n",
"Name: count, Length: 88, dtype: int64\n",
"\n",
"Распределение Popularity в контрольной выборке:\n",
"Popularity\n",
"17 90\n",
"26 86\n",
"21 83\n",
"24 83\n",
"28 80\n",
" ..\n",
"85 1\n",
"83 1\n",
"84 1\n",
"80 1\n",
"77 1\n",
"Name: count, Length: 85, dtype: int64\n",
"\n",
"Распределение Popularity в тестовой выборке:\n",
"Popularity\n",
"22 86\n",
"21 85\n",
"12 84\n",
"20 82\n",
"26 81\n",
" ..\n",
"76 2\n",
"71 2\n",
"79 1\n",
"82 1\n",
"80 1\n",
"Name: count, Length: 80, dtype: int64\n",
"\n"
]
}
],
"source": [
"def check_balance(df, name):\n",
" counts = df['Popularity'].value_counts()\n",
" print(f\"Распределение Popularity в {name}:\")\n",
" print(counts)\n",
" print()\n",
"\n",
"check_balance(train_df, \"обучающей выборке\")\n",
"check_balance(val_df, \"контрольной выборке\")\n",
"check_balance(test_df, \"тестовой выборке\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Выполним овер- и андер- слемпинг."
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Распределение Popularity в обучающей выборке после oversampling:\n",
"Popularity\n",
"44 258\n",
"20 258\n",
"30 258\n",
"27 258\n",
"8 258\n",
" ... \n",
"78 258\n",
"79 258\n",
"74 258\n",
"81 258\n",
"86 258\n",
"Name: count, Length: 88, dtype: int64\n",
"\n",
"Распределение Popularity в контрольной выборке после oversampling:\n",
"Popularity\n",
"21 90\n",
"11 90\n",
"28 90\n",
"23 90\n",
"37 90\n",
" ..\n",
"61 90\n",
"84 90\n",
"80 90\n",
"77 90\n",
"0 90\n",
"Name: count, Length: 85, dtype: int64\n",
"\n",
"Распределение Popularity в тестовой выборке после oversampling:\n",
"Popularity\n",
"14 86\n",
"47 86\n",
"27 86\n",
"13 86\n",
"66 86\n",
" ..\n",
"63 86\n",
"79 86\n",
"71 86\n",
"82 86\n",
"80 86\n",
"Name: count, Length: 80, dtype: int64\n",
"\n"
]
}
],
"source": [
"def oversample(df):\n",
" X = df.drop('Popularity', axis=1)\n",
" y = df['Popularity']\n",
" \n",
" oversampler = RandomOverSampler(random_state=42)\n",
" X_resampled, y_resampled = oversampler.fit_resample(X, y)\n",
" \n",
" resampled_df = pd.concat([X_resampled, y_resampled], axis=1)\n",
" return resampled_df\n",
"\n",
"train_df_oversampled = oversample(train_df)\n",
"val_df_oversampled = oversample(val_df)\n",
"test_df_oversampled = oversample(test_df)\n",
"\n",
"check_balance(train_df_oversampled, \"обучающей выборке после oversampling\")\n",
"check_balance(val_df_oversampled, \"контрольной выборке после oversampling\")\n",
"check_balance(test_df_oversampled, \"тестовой выборке после oversampling\")"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Распределение Popularity в обучающей выборке после undersampling:\n",
"Popularity\n",
"0 1\n",
"1 1\n",
"2 1\n",
"3 1\n",
"4 1\n",
" ..\n",
"84 1\n",
"85 1\n",
"86 1\n",
"87 1\n",
"91 1\n",
"Name: count, Length: 88, dtype: int64\n",
"\n",
"Распределение Popularity в контрольной выборке после undersampling:\n",
"Popularity\n",
"0 1\n",
"1 1\n",
"2 1\n",
"3 1\n",
"4 1\n",
" ..\n",
"82 1\n",
"83 1\n",
"84 1\n",
"85 1\n",
"87 1\n",
"Name: count, Length: 85, dtype: int64\n",
"\n",
"Распределение Popularity в тестовой выборке после undersampling:\n",
"Popularity\n",
"0 1\n",
"1 1\n",
"2 1\n",
"3 1\n",
"4 1\n",
" ..\n",
"76 1\n",
"77 1\n",
"79 1\n",
"80 1\n",
"82 1\n",
"Name: count, Length: 80, dtype: int64\n",
"\n"
]
}
],
"source": [
"def undersample(df):\n",
" X = df.drop('Popularity', axis=1)\n",
" y = df['Popularity']\n",
" \n",
" undersampler = RandomUnderSampler(random_state=42)\n",
" X_resampled, y_resampled = undersampler.fit_resample(X, y)\n",
" \n",
" resampled_df = pd.concat([X_resampled, y_resampled], axis=1)\n",
" return resampled_df\n",
"\n",
"train_df_undersampled = undersample(train_df)\n",
"val_df_undersampled = undersample(val_df)\n",
"test_df_undersampled = undersample(test_df)\n",
"\n",
"check_balance(train_df_undersampled, \"обучающей выборке после undersampling\")\n",
"check_balance(val_df_undersampled, \"контрольной выборке после undersampling\")\n",
"check_balance(test_df_undersampled, \"тестовой выборке после undersampling\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **Car Price Prediction Challenge**\n",
"В данном наборе данных представлена цена на автомобили\n",
"Проблемная область: ценообразование автомобилей\n",
"Объект наблюдения: автомобили\n",
"Атрибуты: идентификатор, цена, сбор, производитель, модель, год выпуска, категория, наличие кожаного салона, тип топлива, объём двигателя, пробег, циллиндры, тип коробки передач, колеса, двери, цвет и подушки безопасности.\n",
"Бизнес-цель: Построение моделей для прогнозирования цен на автомобили на основе их характеристик.\n",
"Эффект для бизнеса: Оптимизация стратегии продаж и увеличение прибыли.\n",
"Цель: Разработка модели для прогнозирования цен.\n",
"Входные данные: Данные о характеристиках автомобилей (год выпуска, тип топлива, пробег и др.).\n",
"Целевой признак: Цена автомобиля."
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Index(['ID', 'Price', 'Levy', 'Manufacturer', 'Model', 'Prod. year',\n",
" 'Category', 'Leather interior', 'Fuel type', 'Engine volume', 'Mileage',\n",
" 'Cylinders', 'Gear box type', 'Drive wheels', 'Doors', 'Wheel', 'Color',\n",
" 'Airbags'],\n",
" dtype='object')\n"
]
}
],
"source": [
"df = pd.read_csv(\"..//static//csv//car_price_prediction.csv\")\n",
"print(df.columns)"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1200x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df['Price'] = pd.to_numeric(df['Price'], errors='coerce')\n",
"df['Prod. year'] = pd.to_numeric(df['Prod. year'], errors='coerce')\n",
"\n",
"df.dropna(subset=['Price', 'Prod. year'], inplace=True)\n",
"\n",
"avg_price_per_year = df.groupby('Prod. year')['Price'].mean().reset_index()\n",
"\n",
"plt.figure(figsize=(12, 6))\n",
"plt.plot(avg_price_per_year['Prod. year'], avg_price_per_year['Price'], marker='o')\n",
"plt.title('Средняя цена автомобиля в зависимости от года выпуска', fontsize=14)\n",
"plt.xlabel('Год выпуска')\n",
"plt.ylabel('Средняя цена ($)')\n",
"plt.grid(True)\n",
"\n",
"plt.xticks(avg_price_per_year['Prod. year'][::4])\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Пропущенные значения в данных:\n",
" ID 0\n",
"Price 0\n",
"Levy 5819\n",
"Manufacturer 0\n",
"Model 0\n",
"Prod. year 0\n",
"Category 0\n",
"Leather interior 0\n",
"Fuel type 0\n",
"Engine volume 0\n",
"Mileage 0\n",
"Cylinders 0\n",
"Gear box type 0\n",
"Drive wheels 0\n",
"Doors 0\n",
"Wheel 0\n",
"Color 0\n",
"Airbags 0\n",
"dtype: int64\n",
"\n",
"Выбросы в числовых столбцах:\n",
" ID 2531\n",
"Price 1073\n",
"Prod. year 982\n",
"Cylinders 4870\n",
"Airbags 0\n",
"dtype: int64\n",
"\n",
"Распределение автомобилей по производителям:\n",
" Manufacturer\n",
"HYUNDAI 3769\n",
"TOYOTA 3662\n",
"MERCEDES-BENZ 2076\n",
"FORD 1111\n",
"CHEVROLET 1069\n",
" ... \n",
"LAMBORGHINI 1\n",
"PONTIAC 1\n",
"SATURN 1\n",
"ASTON MARTIN 1\n",
"GREATWALL 1\n",
"Name: count, Length: 65, dtype: int64\n",
"\n",
"Последний год производства в данных: 2020\n",
"\n",
"начальный год: 1939\n"
]
}
],
"source": [
"import numpy as np\n",
"\n",
"# Заменяем \"-\" на NaN только в числовых столбцах\n",
"numeric_columns = ['Price', 'Levy', 'Engine volume', 'Mileage', 'Cylinders', 'Airbags']\n",
"df[numeric_columns] = df[numeric_columns].replace(\"-\", np.nan)\n",
"\n",
"# Проверяем пропущенные значения снова\n",
"missing_values = df.isnull().sum()\n",
"print(\"Пропущенные значения в данных:\\n\", missing_values)\n",
"\n",
"# Фильтрация только числовых столбцов для анализа выбросов\n",
"numerical_data = df.select_dtypes(include=[np.number])\n",
"\n",
"# 2. Анализ выбросов\n",
"Q1 = numerical_data.quantile(0.25)\n",
"Q3 = numerical_data.quantile(0.75)\n",
"IQR = Q3 - Q1\n",
"outliers = ((numerical_data < (Q1 - 1.5 * IQR)) | (numerical_data > (Q3 + 1.5 * IQR))).sum()\n",
"print(\"\\nВыбросы в числовых столбцах:\\n\", outliers)\n",
"\n",
"# 3. Анализ смещения данных\n",
"category_counts = df['Manufacturer'].value_counts()\n",
"print(\"\\nРаспределение автомобилей по производителям:\\n\", category_counts)\n",
"\n",
"# 4. Анализ актуальности данных\n",
"max_production_year = df['Prod. year'].max()\n",
"min_year_from_car = df['Prod. year'].min()\n",
"\n",
"print(\"\\nПоследний год производства в данных:\", max_production_year)\n",
"print(\"\\nначальный год:\", min_year_from_car)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"В наборе данных есть пропущенные значения в столбце Levy. Выбросы встречаются с столбцах Price, Prod. year, Cylinders. Набор данных сильно смещён в сторону нескольких производителей, таких как Hyundai, Toyota, и Mercedes-Benz, которые составляют большую часть данных.\n",
"В то же время, такие бренды, как Lamborghini, Pontiac, Saturn, и Aston Martin, представлены всего одной записью. Последний год выпуска в наборе данных — 2020: Данные устарели на несколько лет. Это может означать, что новые модели автомобилей, выпущенные после 2020 года, не учтены, что снижает актуальность данных для анализа современного рынка автомобилей."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### **Примеры решения обнаруженных проблем**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"В столбце Levy имеется 5819 пропущенных значений. Заполним пропуски, подставив 0."
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {},
"outputs": [],
"source": [
"df['Levy'] = df['Levy'].fillna(0) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Заменим выбрасы на медиану"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [],
"source": [
"for col in ['Price', 'Prod. year', 'Cylinders']:\n",
" Q1 = df[col].quantile(0.25) # 1-й квартиль\n",
" Q3 = df[col].quantile(0.75) # 3-й квартиль\n",
" IQR = Q3 - Q1 # Интерквартильный размах\n",
" median = df[col].median() # Медиана\n",
"\n",
" # Определение выбросов\n",
" condition = (df[col] < (Q1 - 1.5 * IQR)) | (df[col] > (Q3 + 1.5 * IQR))\n",
"\n",
" # Замена выбросов на медиану\n",
" df[col] = np.where(condition, median, df[col])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Если нужно использовать для анализа машины определенных лет выпуска, можем отфильтровать данные следующим образом:"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [],
"source": [
"df = df[df['Prod. year'] >= 2015]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### **Оценка качества данных**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Для каждой категориальной переменной, такой как Manufacturer, Model, Category, можно подсчитать количество уникальных значений. Это даст представление о разнообразии и информативности данных.\n"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ID 18924\n",
"Price 2315\n",
"Levy 559\n",
"Manufacturer 65\n",
"Model 1590\n",
"Prod. year 54\n",
"Category 11\n",
"Leather interior 2\n",
"Fuel type 7\n",
"Engine volume 107\n",
"Mileage 7687\n",
"Cylinders 13\n",
"Gear box type 4\n",
"Drive wheels 3\n",
"Doors 3\n",
"Wheel 2\n",
"Color 16\n",
"Airbags 17\n",
"dtype: int64\n"
]
}
],
"source": [
"unique_counts = df.nunique()\n",
"print(unique_counts)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Мы видим здесь 65 брендов машин и 1590 различных моделей, что говорит а разнообразии данных."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Проверим на соответствие реальным данным"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"data": {
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iGu7duydqtTrR304kfiCV8uXLS7t27ZL9bB8+fJAHDx5Iw4YNk13mS/YXn/PdIaLMxaC76uny/fffy/nz5+WPP/6Qa9euSZs2baRhw4Zy//79JJdftmyZlCxZMsnRpYgobVlbW4uHh4csXrxYXr58mWj+69evU+3fAiAAkmxZSQ2NGzeWgIAA2bRpkzItNjZW5s2bJ+bm5ko3rk+pUKGC5MiRQ4yMjGTZsmXy+PFjmTJlijJfUzsSDD0dExMjCxcu/KKaW7ZsKcbGxjJ58uREw1kDSNFJpmbUwY+Hv/71119FJL7lI6EXL15ojbQXGhoqa9askfLly4utra3WspMnTxYbG5tEvQc+Nm/ePDl+/LisX79e6tevL9WrV//k8mXKlJGKFSvKrVu3dA5Nn1BSfwcAMnfu3M96fUxMjMTGxiYapl2Xxo0bS1xcnMyfP19r+uzZs0WlUiV7kbF79+5y/fp1qVWrlhI+knrvCxcuyPnz55Vp4eHhsmTJEilSpIg4OTl9sobk/s7nz5+XXbt2yU8//fTJYLpr1y6JjIxMshuhxpfsLz73u0NEmYdBtzh9ir+/v6xcuVL8/f2lQIECIhLfhH/w4EFZuXKlTJ8+XWv5qKgoWb9+vYwePVof5RIZjBUrVsjBgwcTTX/y5IlERETI1KlTpVOnTmJvby8LFiyQGjVqSLly5aRXr15StGhRCQwMlPPnz8uzZ8/k6tWrX1zH8ePHtbrqPXjwQGto5tTUu3dvWbx4sXTt2lX++ecfKVKkiGzdulXOnj0rc+bMSXRfii5ly5aVUaNGyU8//STffvutODs7i7u7u+TOnVu6dOkiAwcOFJVKJWvXrk0Uej5XsWLFZOrUqcpQ0i1atJCcOXPKo0ePZMeOHdK7d28ZPnz4Z72Xi4uLdOnSRZYsWaJ0Kbxw4YKsXr1aWrRoIXXq1NFavmTJktKjRw/5+++/xcbGRlasWCGBgYHKQAYJHT58WNavX//JB67evHlTRo4cKZMmTUpRV+zjx49LdHS0WFlZffZrSpUqJcWKFZPhw4fL8+fPxcLCQrZt25bsPVXh4eFaXfXWrl0rUVFRKR5qv2nTplKnTh0ZN26cPH78WFxcXOTw4cOya9cuGTx4sBQrVizJ15UuXVqCgoI+2c1u9OjRsnHjRmnUqJEMHDhQrKysZPXq1fLo0SPZtm2b0orauHFjqV+/vowbN04ePXok5cuXl+PHj8u2bdukb9++UrZsWa33PXz4sDRo0CDZFqKIiAiZOHGiLFy4UNzd3cXT0/OT6yCl+4vP+e4QUSajh5H80iURwY4dO5Tf9+7dCxFBjhw5tH5MTEzQtm3bRK/fsGEDTExMEBAQkIZVExkOzRDAn/OTcLjlf//9F507d4atrS1MTU1RsGBBNGnSBFu3bk303ikZjlzzky1bNjg5OWH27NnKMqk9HDkABAYGolu3bsibNy+yZMmCcuXKffawx0nVExUVhVKlSqFSpUqIjY0FAJw9exZVq1ZFtmzZUKBAAYwcORKHDh1KdgjrTw1HrrFt2zbUqFFD2YeWKlUKAwYMwN27d5VldA1HDgAfPnzA5MmT4eDgAFNTU9jZ2WHMmDGJhkm3t7eHt7c3Dh06BGdnZ5iZmaFUqVLYsmWL1nKav3n58uWhVquT/UxRUVFwdnZGjRo1lPWUcLmkhiNPjq75Grdu3UL9+vVhbm6OvHnzolevXrh69Wqidd2lSxet76K5uTkqVKiAtWvXJvm+nxqOHIgfInzIkCEoUKAATE1NUaJECcyYMUNr/QBINNz4x5Ka/++//6J169bIlSsXsmbNisqVK2Pv3r2JXvv+/XutGooXL46ffvpJGbI84b+hUqnwzz//aE2vXbu2su08e/YMdnZ2GDx4MEJCQpKsM+G2ranzc/cXur47RJT5qIAvvJyYyahUKtmxY4e0aNFCREQ2bdokHTt2lJs3bybqfmNubp6ou0e9evXEwsIi0YMYiSjtPH78WBwcHOTEiRNaAx+Q4ShSpIiULVtW9u7dq+9SiIgok2FXvWS4urpKXFycvHr1Suc9S48ePZITJ07I7t2706g6IiIiIiJKSwYdnN6/fy8PHjxQfn/06JFcuXJFrKyspGTJktKxY0fp3LmzzJo1S1xdXeX169dy7NgxcXZ21rpJdcWKFZI/f/5PjtBHRF9frly5ZNy4cZ81yhwRERFRShh0V72TJ08muqlYRKRLly6yatUq+fDhg0ydOlXWrFkjz58/l7x580rVqlVl8uTJyvMx1Gq12NvbS+fOnWXatGlp/RGIiCgBdtUjIqKvxaCDExERERER0efgc5yIiIiIiIh0YHAiIiIiIiLSweAGh1Cr1fLixQvJmTPnJ580TkREREREmRsACQsLkwIFCigP5E6OwQWnFy9eiJ2dnb7LICIiIiKidOLp06dSqFChTy5jcMEpZ86cIhK/ciwsLPRcDRERERER6UtoaKjY2dkpGeFTDC44abrnWVhYMDgREREREdFn3cLDwSGIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHRgcCIiIiIiItLBRN8FEBHR1xEXFyfXrl2TN2/eiJWVlTg7O4uxsbG+yyIiIsqQGJyIiDIhPz8/WbhwoQQEBCjTbG1tpX///lKrVi09VkZERJQxsaseEVEm4+fnJxMnTpSiRYvKggULZP/+/bJgwQIpWrSoTJw4Ufz8/PRdIhERUYajAgB9F5GWQkNDxdLSUkJCQsTCwkLf5RARpaq4uDjp2LGjFC1aVKZOnSpGRv+7PqZWq8XHx0cePXok69atY7c9IiIyeCnJBmxxIiLKRK5duyYBAQHSsWNHrdAkImJkZCQdO3aUly9fyrVr1/RUIRERUcbE4ERElIm8efNGREQcHBySnK+ZrlmOiIiIPg+DExFRJmJlZSUiIo8ePUpyvma6ZjkiIiL6PAxORESZiLOzs9ja2sr69etFrVZrzVOr1bJ+/XrJnz+/ODs766lCIiKijInBiYgoEzE2Npb+/fvL+fPnxcfHR27evCkRERFy8+ZN8fHxkfPnz0u/fv04MAQREVEKcVQ9IqJMKKnnOOXPn1/69evH5zgRERH9v5RkAwYnIqJMKi4uTq5duyZv3rwRKysrcXZ2ZksTERFRAinJBiZpVBMREaUxY2NjcXV11XcZREREmQLvcSIiIiIiItKBwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIB70GJ19fX6lUqZLkzJlTrK2tpUWLFnL37t1PvmbVqlWiUqm0frJmzZpGFRMRERERkSHSa3A6deqUDBgwQP788085cuSIfPjwQTw9PSU8PPyTr7OwsJCXL18qP0+ePEmjiomIiIiIyBDp9QG4Bw8e1Pp91apVYm1tLf/884/UqlUr2depVCqxtbX92uURERERERGJSDq7xykkJERERKysrD653Pv378Xe3l7s7OykefPmcvPmzWSXjY6OltDQUK0fIiIiIiKilEg3wUmtVsvgwYOlevXqUrZs2WSXc3R0lBUrVsiuXbtk3bp1olarxd3dXZ49e5bk8r6+vmJpaan82NnZfa2PQEREREREmZQKAPRdhIhIv3795MCBA3LmzBkpVKjQZ7/uw4cPUrp0aWnfvr38+OOPieZHR0dLdHS08ntoaKjY2dlJSEiIWFhYpErtRERERESU8YSGhoqlpeVnZQO93uOk8f3338vevXvFz88vRaFJRMTU1FRcXV3lwYMHSc43MzMTMzOz1CiTiIiIiIgMlF676gGQ77//Xnbs2CHHjx8XBweHFL9HXFycXL9+XfLnz/8VKiQiIiIiItJzi9OAAQNkw4YNsmvXLsmZM6cEBASIiIilpaVky5ZNREQ6d+4sBQsWFF9fXxERmTJlilStWlWKFy8u7969kxkzZsiTJ0+kZ8+eevscRERERESUuek1OP3+++8iIuLh4aE1feXKldK1a1cREfH39xcjo/81jL19+1Z69eolAQEBkjt3bqlYsaKcO3dOnJyc0qpsIiIiIiIyMOlmcIi0kpIbwIiIiIiIKPNKSTZIN8ORExERERERpVcMTkRERERERDowOBEREREREenA4ERERERERKQDgxMREREREZEODE5EREREREQ6MDgRERERERHpwOBERERERESkA4MTERERERGRDgxOREREREREOjA4ERERERER6cDgREREREREpAODExERERERkQ4MTkRERERERDowOBEREREREenA4ERERERERKQDgxMREREREZEODE5EREREREQ6MDgRERERERHpwOBERERERESkA4MTERERERGRDgxOREREREREOjA4ERERERER6cDgREREREREpAODExERERERkQ4MTkRERERERDowOBEREREREenA4ERERERERKQDgxMREREREZEODE5EREREREQ6MDgRERERERHpwOBERERERESkA4MTERERERGRDgxOREREREREOjA4ERERERER6cDgREREREREpAODExERERERkQ4MTkRERERERDowOBEREREREenA4ERERERERKQDgxMREREREZEODE5EREREREQ6MDgRERERERHpwOBERERERESkA4MTERERERGRDgxOREREREREOjA4ERERERER6cDgREREREREpAODExERERERkQ4MTkRERERERDowOBEREREREenA4ERERERERKQDgxMREREREZEODE5EREREREQ6MDgRERERERHpoNfg5OvrK5UqVZKcOXOKtbW1tGjRQu7evavzdVu2bJFSpUpJ1qxZpVy5crJ///40qJaIiIiIiAyVXoPTqVOnZMCAAfLnn3/KkSNH5MOHD+Lp6Snh4eHJvubcuXPSvn176dGjh1y+fFlatGghLVq0kBs3bqRh5UREREREZEhUAKDvIjRev34t1tbWcurUKalVq1aSy7Rr107Cw8Nl7969yrSqVatK+fLlZdGiRTr/jdDQULG0tJSQkBCxsLBItdqJiIiIiChjSUk2SFf3OIWEhIiIiJWVVbLLnD9/XurXr681zcvLS86fP/9VayMiIiIiIsNlou8CNNRqtQwePFiqV68uZcuWTXa5gIAAsbGx0ZpmY2MjAQEBSS4fHR0t0dHRyu+hoaGpUzARERERERmMdNPiNGDAALlx44b88ccfqfq+vr6+YmlpqfzY2dml6vsTEREREVHmly6C0/fffy979+6VEydOSKFChT65rK2trQQGBmpNCwwMFFtb2ySXHzNmjISEhCg/T58+TbW6iYiIiIjIMOg1OAGQ77//Xnbs2CHHjx8XBwcHna+pVq2aHDt2TGvakSNHpFq1akkub2ZmJhYWFlo/REREREREKaHXe5wGDBggGzZskF27dknOnDmV+5QsLS0lW7ZsIiLSuXNnKViwoPj6+oqIyKBBg6R27doya9Ys8fb2lj/++EMuXrwoS5Ys0dvnICIiIiKizE2vLU6///67hISEiIeHh+TPn1/52bRpk7KMv7+/vHz5Uvnd3d1dNmzYIEuWLBEXFxfZunWr7Ny585MDShAREREREf0X6eo5TmmBz3EiIiIiIiKRDPwcJyIiIiIiovSIwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHRgcCIiIiIiItKBwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHRgcCIiIiIiItKBwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHRgcCIiIiIiItKBwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHRgcCIiIiIiItKBwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdNBrcPLz85OmTZtKgQIFRKVSyc6dOz+5/MmTJ0WlUiX6CQgISJuCiYiIiIjIIOk1OIWHh4uLi4ssWLAgRa+7e/euvHz5Uvmxtrb+ShUSERERERGJmOjzH2/UqJE0atQoxa+ztraWXLlypX5BRERERERESciQ9ziVL19e8ufPLw0aNJCzZ89+ctno6GgJDQ3V+iEiIiIiIkqJDBWc8ufPL4sWLZJt27bJtm3bxM7OTjw8POTSpUvJvsbX11csLS2VHzs7uzSsmIiIiIiIMgMVAOi7CBERlUolO3bskBYtWqTodbVr15bChQvL2rVrk5wfHR0t0dHRyu+hoaFiZ2cnISEhYmFh8V9KJiIiIiKiDCw0NFQsLS0/Kxvo9R6n1FC5cmU5c+ZMsvPNzMzEzMwsDSsiIiIiIqLMJkN11UvKlStXJH/+/Poug4iIiIiIMjG9tji9f/9eHjx4oPz+6NEjuXLlilhZWUnhwoVlzJgx8vz5c1mzZo2IiMyZM0ccHBykTJkyEhUVJcuWLZPjx4/L4cOH9fURiIiIiIjIAOg1OF28eFHq1Kmj/D506FAREenSpYusWrVKXr58Kf7+/sr8mJgYGTZsmDx//lyyZ88uzs7OcvToUa33ICIiIiIiSm3pZnCItJKSG8CIiIiIiCjzSkk2yPD3OBEREREREX1tDE5EREREREQ6MDgRERERERHpwOBERERERESkw38aVe/ixYuyefNm8ff3l5iYGK1527dv/0+FERERERERpRdf3OL0xx9/iLu7u9y+fVt27NghHz58kJs3b8rx48fF0tIyNWskIiIiIiLSqy8OTtOnT5fZs2fLnj17JEuWLDJ37ly5c+eOtG3bVgoXLpyaNRIREREREenVFwenf//9V7y9vUVEJEuWLBIeHi4qlUqGDBkiS5YsSbUCiYiIiIiI9O2Lg1Pu3LklLCxMREQKFiwoN27cEBGRd+/eSUREROpUR0RERERElA588eAQtWrVkiNHjki5cuWkTZs2MmjQIDl+/LgcOXJE6tWrl5o1EhERERER6dUXB6f58+dLVFSUiIiMGzdOTE1N5dy5c9KqVSvx8fFJtQKJiIiIiIj0TQUA+i4iLYWGhoqlpaWEhISIhYWFvsshIiIiIiI9SUk2+OIWp9DQ0E/OZyghIiIiIqLM4ouDU65cuUSlUiWaDkBUKpXExcX9p8KIiIiIiIjSiy8OTidOnBCR+KDUuHFjWbZsmRQsWDDVCiMiIiIiIkovvjg41a5dW/l/Y2NjqVq1qhQtWjRViiIiIiIiIkpPvvg5TkRERERERIYi1YJTUvc7ERERERERZQZf3FXP1dVVCUuRkZHStGlTyZIlizL/0qVL/706IiIiIiKidOCLg1OLFi2U/2/evHlq1EJERERERJQu8QG4RERERERkkFKSDf7TPU7v3r2TZcuWyZgxY+TNmzciEt9F7/nz5//lbYmIiIiIiNKVL+6qd+3aNalfv75YWlrK48ePpVevXmJlZSXbt28Xf39/WbNmTWrWSUREREREpDdf3OI0dOhQ6dq1q9y/f1+yZs2qTG/cuLH4+fmlSnFERERERETpwRcHp7///lv69OmTaHrBggUlICDgPxVFRERERESUnnxxcDIzM5PQ0NBE0+/duyf58uX7T0URERERERGlJ18cnJo1ayZTpkyRDx8+iEj8A3D9/f1l1KhR0qpVq1QrkIiIiIiISN++ODjNmjVL3r9/L9bW1hIZGSm1a9eW4sWLS86cOWXatGmpWSMREREREZFeffGoepaWlnLkyBE5c+aMXLt2Td6/fy8VKlSQqlWryj///CMiIubm5lKhQoVUK5aIiIiIiEgfUhycPr6vydnZWZydnZXfr169KnXq1JHChQtLmTJlZO/evf+9SiIiIiIiIj1KcXDKlSuXqFSqZOcDEJVKJY8ePfpPhREREREREaUXKQ5OJ06c+OT8+/fvJzlMORERERERUUaV4uBUu3btT87PlSvXl9ZCRERERESULn3xqHpERERERESGgsGJiIiIiIhIBwYnIiIiIiIiHVJ8j1PLli0/Of/du3dfWgsREREREVG6lOLgZGlpqXN+586dv7ggIiIiIiKi9CbFwWnlypVfow4iIiIiIqJ0i/c4ERERERER6cDgREREREREpAODExERERERkQ4MTkRERERERDowOBEREREREenA4ERERERERKQDgxMREREREZEODE5EREREREQ6MDgRERERERHpwOBERERERESkA4MTERERERGRDgxOREREREREOjA4ERERERER6cDgREREREREpAODExERERERkQ4MTkRERERERDowOBEREREREemg1+Dk5+cnTZs2lQIFCohKpZKdO3fqfM3JkyelQoUKYmZmJsWLF5dVq1Z99TqJiIiIiMiw6TU4hYeHi4uLiyxYsOCzln/06JF4e3tLnTp15MqVKzJ48GDp2bOnHDp06CtXSkREREREhsxEn/94o0aNpFGjRp+9/KJFi8TBwUFmzZolIiKlS5eWM2fOyOzZs8XLy+trlUlERERERAYuQ93jdP78ealfv77WNC8vLzl//nyyr4mOjpbQ0FCtHyIiIiIiopTIUMEpICBAbGxstKbZ2NhIaGioREZGJvkaX19fsbS0VH7s7OzSolQiIiIiIspEMlRw+hJjxoyRkJAQ5efp06f6LomIiIiIiDIYvd7jlFK2trYSGBioNS0wMFAsLCwkW7ZsSb7GzMxMzMzM0qI8IiIiIiLKpDJUi1O1atXk2LFjWtOOHDki1apV01NFRERERERkCPQanN6/fy9XrlyRK1euiEj8cONXrlwRf39/EYnvZte5c2dl+b59+8rDhw9l5MiRcufOHVm4cKFs3rxZhgwZoo/yiYiIiIjIQOg1OF28eFFcXV3F1dVVRESGDh0qrq6uMmHCBBERefnypRKiREQcHBxk3759cuTIEXFxcZFZs2bJsmXLOBQ5ERERERF9VSoA0HcRaSk0NFQsLS0lJCRELCws9F0OERERERHpSUqyQYa6x4mIiIiIiEgfGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHRgcCIiIiIiItKBwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHRgcCIiIiIiItKBwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHRgcCIiIiIiItKBwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHRgcCIiIiIiItKBwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0iFdBKcFCxZIkSJFJGvWrFKlShW5cOFCssuuWrVKVCqV1k/WrFnTsFoiIiIiIjI0eg9OmzZtkqFDh8rEiRPl0qVL4uLiIl5eXvLq1atkX2NhYSEvX75Ufp48eZKGFRMRERERkaHRe3D69ddfpVevXtKtWzdxcnKSRYsWSfbs2WXFihXJvkalUomtra3yY2Njk4YVExERERGRodFrcIqJiZF//vlH6tevr0wzMjKS+vXry/nz55N93fv378Xe3l7s7OykefPmcvPmzWSXjY6OltDQUK0fIiIiIiKilNBrcAoKCpK4uLhELUY2NjYSEBCQ5GscHR1lxYoVsmvXLlm3bp2o1Wpxd3eXZ8+eJbm8r6+vWFpaKj92dnap/jmIiIiIiChz03tXvZSqVq2adO7cWcqXLy+1a9eW7du3S758+WTx4sVJLj9mzBgJCQlRfp4+fZrGFRMRERERUUZnos9/PG/evGJsbCyBgYFa0wMDA8XW1vaz3sPU1FRcXV3lwYMHSc43MzMTMzOz/1wrEREREREZLr22OGXJkkUqVqwox44dU6ap1Wo5duyYVKtW7bPeIy4uTq5fvy758+f/WmUSEREREZGB02uLk4jI0KFDpUuXLuLm5iaVK1eWOXPmSHh4uHTr1k1ERDp37iwFCxYUX19fERGZMmWKVK1aVYoXLy7v3r2TGTNmyJMnT6Rnz576/BhERERERJSJ6T04tWvXTl6/fi0TJkyQgIAAKV++vBw8eFAZMMLf31+MjP7XMPb27Vvp1auXBAQESO7cuaVixYpy7tw5cXJy0tdHICIiIiKiTE4FAPouIi2FhoaKpaWlhISEiIWFhb7LISIiIiIiPUlJNshwo+oRERERERGlNQYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHRgcCIiIiIiItKBwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHRgcCIiIiIiItKBwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHRgcCIiIiIiItKBwYmIiIiIiEgHBiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcGJyIiIiIiIh0YnIiIiIiIiHQw0XcBREREaS0uLk6uXbsmb968ESsrK3F2dhZjY2N9l0VEROkYgxMRERkUPz8/WbhwoQQEBCjTbG1tpX///lKrVi09VkZEROkZu+oREZHB8PPzk4kTJ0rRokVlwYIFsn//flmwYIEULVpUJk6cKH5+fvoukYiI0ikVAOi7iLQUGhoqlpaWEhISIhYWFnqthV1FiIjSTlxcnHTs2FGKFi0qU6dOFSOj/107VKvV4uPjI48ePZJ169ZxX0xEZCBSkg3YVU9P2FWEiChtXbt2TQICAmT8+PFaoUlExMjISDp27CgDBgyQa9euiaurq56qJCKi9Ipd9fSAXUWIiNLemzdvRETEwcEhyfma6ZrliIiIEmJwSmNxcXGycOFCqVatmkydOlXKlCkj2bNnlzJlysjUqVOlWrVq8vvvv0tcXJy+SyUiylSsrKxEROTRo0dJztdM1yxHRESUEINTGtN0FenYsWOyXUVevnwp165d01OFRESZk7Ozs9ja2sr69etFrVZrzVOr1bJ+/XrJnz+/ODs766lCIiJKz3iPUxpL2FXk/fv34uvrKy9evJACBQrImDFj2FWEksXBRIj+G2NjY+nfv79MnDhRfHx8pGPHjuLg4CCPHj2S9evXy/nz52Xy5MkGvV3FxMTIrl27lONS8+bNJUuWLPoui4goXeCoemns8uXLMmTIELG3t5cnT54kmq+ZPnv2bN6cTAo/Pz9ZsGCBBAYGKtNsbGxkwIABHEyEKIWSGpwnf/780q9fP4PenhYtWiRbtmzR6ipubGwsbdq0kb59++qxMiKirycl2YDBKY3FxcWJl5eXxMbGJruMiYmJHDp0yKCvetL/+Pn5yYQJE5KdP2XKFIM+2RNha1xyuF6SFxkZKYsXL5Znz55JoUKFpE+fPpItWzZ9l6U3ixYtkj/++CPZ+d9++63Bhyd+Z4hSR1I9rszNzfVWD4PTJ+g7OL1//16aNGmic7m9e/fq9UukTzNmzJB9+/Ypv3t7e8uIESP0WJH+xMXFSbNmzSQ8PDzZZXLkyCG7d+822BNiPz8/mTFjhoSFhSnTcubMKSNGjDDoQOnn5ye//vqrvHv3TpmWK1cuGTp0qEGvF5H4kLB582at+5yMjIykbdu2BhkOYmJipGHDhonu+0rIyMhIDh48aLDd9saNGydnz55NNL169eoybdo0PVSUfrB7J6VE37595c6dO4mmlypVShYtWqSHilKWDTg4RBqbNGlSqi6X2Xh4eGiFJhGRffv2iYeHh34K0rNLly59MjSJiISHh8ulS5fSqKL0RdMalzA0iYiEhYXJhAkTDHZof816SRiaRETevXtn0OtF5NMtK3/88YfeDtz6tGPHjk+GJpH4wTN27NiRRhWlL8mFJhGRs2fPyrhx49K4ovRj0aJF0qhRI1mwYIHs2LFDFixYII0aNTLI7Yh004QmlUolnp6esmzZMvH09BSVSiV37tzJEBeu0kVwWrBggRQpUkSyZs0qVapUkQsXLnxy+S1btkipUqUka9asUq5cOdm/f38aVfrfXbx4MdG0pK7MJLVcZqcrHBlieFq8eHGqLpeZxMXFJerCWKNGDa3fJ0yYYHBD+3+8XszMzKRPnz5iZmamTDPE9SISf2V88+bNIiJSpUoVrefoValSRURENm/eLDExMfosM8399ddfiaaVLFnys5bL7CIjI7VCU8KTPY2zZ89KZGSkPsrTK81FCAsLCxk+fLhs27ZNhg8fLhYWFgZ7EYKS9/79eyU0HThwQMaOHSvFixeXsWPHyoEDB5Tw9P79e32X+kl6D06bNm2SoUOHysSJE+XSpUvi4uIiXl5e8urVqySXP3funLRv31569Oghly9flhYtWkiLFi3kxo0baVz5fzds2DA5efKkHD58WE6ePCnDhg3Td0l6M2PGDOX/e/bsKSdPnlR+evbsmeRyhuDBgwdavydcL59azhAkbDWYP3++nDx5UqZOnSonT56U+fPnJ7mcITh06JDy/3/88YccOnRI2rdvL4cOHdJaFwmXMxSalpVixYrJtGnTtJ6jN23aNClatKhBtqwkbLHWbENLlixRtqmkljMUCfclBw8e1DrZO3jwYJLLGYKYmBjZsmWL5M6dW7Zs2SJNmjSRPHnySJMmTbSmG9pFCEqer6+viIg0aNBAsmbNqjUva9asUr9+fa3l0iu9D0f+66+/Sq9evaRbt24iEn8FY9++fbJixQoZPXp0ouXnzp0rDRs2VO55+fHHH+XIkSMyf/78VLm6cefOHXn69GmKXvPhwwcJCgpK8b8VFBQka9asUX7/+ApwwnnJyZs3r5iamqbo37Wzs5NSpUql6DUiIoGBgRISEpKi10RHR2uNXJWchN3zbGxs5MiRI1q/J1yufPnyOt/P1tZW6wr757C0tNT6tz7X11wvCY0dO1ZrvYwdO1amT5+u/J5w3qek5br5mtvTihUrlP+/dOlSsid1S5cu/azWlbTclr5EVFSU+Pv761xOc3HB1NRUQkNDJTQ0VGu+qampfPjwQWbMmCHFixfX+X6FCxdOdJD7mr7md+bo0aMiIlK0aFFZt25dovlFixaVhw8fyr59+yQ6Olrn+6Xldyatjk3//vuvPHz4UPn949ug09txSSRtvjOFCxdWWisTKlSokDx79kyOHj36WfvIzPKduXHjhsTFxYmTk5Ns2LAh0fzSpUvLuXPnxMfHR8qWLavz/dL7uYzIlx23U0NmOWbfvHlTRESyZ8+e5H5EM9DKzZs30+V+RkOvg0PExMRI9uzZZevWrdKiRQtlepcuXeTdu3eya9euRK8pXLiwDB06VAYPHqxMmzhxouzcuVOuXr2aaPno6GitA2BoaKjY2dkleQNYYGCgtG/fQdTqzN2FxcjIWDZu3JCijSowMFA6ftdJYj9k3qtHJqZZZP26tVwvSfjSdZPZt6cv2ZZE4lsIHz16lKLXPH369LMOJqmtc+fOYmdnl+LXOTg4fFYwS4jfmaRxvSSP6yZpXC9J4zE7eYb8nUnJ4BB6bXEKCgqSuLi4RB/AxsYmyRE3REQCAgKSXD65qwC+vr4yefLkz67JyNg4U39pROI/45dQZ/J7Ir7082X29SLy5Z8xs29PX7otzZs3L8kLPenRl4Y1FxcXmTt3bopfx+9M8q/jekn+tVw3Sb+O6yUxHrOTx++MbnptcXrx4oUULFhQzp07J9WqVVOmjxw5Uk6dOpXkjahZsmSR1atXS/v27ZVpCxculMmTJ2s9HFQjJS1OIl+/29WpU6fkzJkzOperUaOG1K5dW+dymaUJ18/PT7lPp2LFiuLi4qLMu3r1qvzzzz8iIlK8ePHPGko5s3SHSNgdTZfu3bt/1nLpvUvE525Pt2/flu3bt4uISIECBaRBgwaSL18+ef36tRw5ckRevHghIiItW7aU0qVL63y/tNyWvqTF6XO/M8HBwUprva2trbi5uUnu3Lnl7du3cvHiRWXdNm/eXPLkyaPz/b7k+yLyZS1OIl/3O6NWq+XXX3+V6OhoyZ49u9SuXVtKlCgh9+/fl1OnTklERISYmZnJ0KFDxchI9y3AmaVL8OXLlz9rkKXGjRt/1oPZ03K9iHzddRMVFSWzZs0SERGVSiVVqlSR8uXLy5UrV+Svv/5SujIOGzbss7q0ZpbvTGxsrPzyyy+SPXt2GThwoNb2olar5bfffpPIyEgZMWKEmJjovkaf3s9lRL78toz/KrMcs0Xiz2levnwpIiJlypSRKlWqyF9//aV048ufP/9nn8uk5ncmwzzHKS266n1M389xEvm80eE+vvnfEHC9JI3rJXlcN0mrU6dOontTElKpVHLixIk0rCj94AOlk8ZtKXnJPXdGQ5/Pn9Enzah6uXPnlu7du0u1atXk/PnzsmLFCnn79i0fmkxJyujPcdL7A3CrVKkilStXlnnz5olI/JWKwoULy/fff5/k4BDt2rWTiIgI2bNnjzLN3d1dnJ2dP2uFp4fgJPLpg5ShHpxEuF6Sw/WSPK6bpCUXngw5NGn4+fnJggULtHop2NraSv/+/Q0yNGlwW0peejzZSw8WLVokW7Zs0RqAx9jYWNq0acPQRMl6//69+Pr6Kg9NHjNmjJibm+utngwVnDZt2iRdunSRxYsXS+XKlWXOnDmyefNmuXPnjtjY2Ejnzp2lYMGCyvCE586dk9q1a8tPP/0k3t7e8scff8j06dPl0qVLnzVyS3oJTiIiq1atklWrVim/d+3aVbp27aq3etKLGTNmaI2y5+3trYyiaMiSOqkx9JMZjYsXL8rw4cOV32fOnClubm56rCh9ePz4sfTo0UPi4uLE2NhYli9fLkWKFNF3WelCXFycXLt2Td68eSNWVlbi7OwsxqnQ/z2jO3r0qNYQ5D4+PsowwYYuvZ3spRcxMTGya9cuZb00b948yedTEqVXGSo4icQ//2DGjBkSEBAg5cuXl99++015GKGHh4cUKVJEK2Bs2bJFfHx85PHjx1KiRAn55ZdfpHHjxp/1b6Wn4ERERERERPqT4YJTWmJwIiIiIiIikZRlA93DBhERERERERk4BiciIiIiIiIdGJyIiIiIiIh0YHAiIiIiIiLSgcGJiIiIiIhIBwYnIiIiIiIiHRiciIiIiIiIdGBwIiIiIiIi0oHBiYiIiIiISAcTfReQ1gCISPxTgomIiIiIyHBpMoEmI3yKwQWnsLAwERGxs7PTcyVERERERJQehIWFiaWl5SeXUeFz4lUmolar5cWLF5IzZ05RqVT6LkdCQ0PFzs5Onj59KhYWFvouJ93gekka10vyuG6SxvWSPK6bpHG9JI/rJmlcL8njuklaelovACQsLEwKFCggRkafvovJ4FqcjIyMpFChQvouIxELCwu9f3HSI66XpHG9JI/rJmlcL8njukka10vyuG6SxvWSPK6bpKWX9aKrpUmDg0MQERERERHpwOBERERERESkA4OTnpmZmcnEiRPFzMxM36WkK1wvSeN6SR7XTdK4XpLHdZM0rpfkcd0kjesleVw3Scuo68XgBocgIiIiIiJKKbY4ERERERER6cDgREREREREpAODExERERERkQ4MTkRERERERDowOBEREREREenA4ERERPSFwsLCRESEA9QSpQ5uS5SeMTilE2q1Otl53ImkDs16/PDhg54rIcqcktqPfWrfltEtX75cRo4cKc+ePROVSqXvcogyHM3+IeF+4t27d3qqhkg3Bqd0AIAYGcX/KZYtWyb9+/eXyZMny/bt20VERKVSMTylApVKJXv37pXly5dn+vWZ2T/f16BZZ+Hh4XquJGNSq9XKfuzSpUty9epVCQoKEiMjo0wbnh4/fixnz56VefPmybNnz/RdTprKrH/TtMJ9dDwjIyO5d++erFu3TkREtmzZIpUrV5Y3b97ouTJKDzTbScLtRd/bDoOTngFQrlT6+PjI0KFD5eXLl3Lo0CHp06ePDBkyREQYnr7E4cOH5d69eyLyv4P877//LnFxcZn66rDmO3X27FlZsGCBLF68WKKiovRdVrqmWWf79++XHj16yM2bN3limEKa0DR69Gjx9PSUZs2aSYUKFeTixYvKvMzmxx9/lI4dO8qRI0dk7ty5BhOeEobkixcvysGDB+X27ds82U2C5rh99epVOX78uPj5+YkIj+kJrV+/Xrp27Sr9+/eX9u3bi4+Pj1hZWem7rHRH830JCgqSgIAACQ4OTjQvM1Gr1cq52tu3byUuLk45f9Pr8RmULly4cAHNmjWDn58fAODNmzdYvXo1smfPjtGjR+u5uozn77//RpEiRdCvXz/8+++/AIC4uDhUqlQJixYt0nN1X9/u3bthYmICd3d3qFQq1K5dG+fPn4dardZ3aenWtm3bYGFhgTFjxuDWrVv6LifDSPidOnPmDIoUKYITJ07g8OHD6NixI3LkyIEjR47oscKvIy4uTvn/6dOnw9XVFcOHD8fTp0/1WNXXl/DvPXr0aBQtWhSOjo4oU6YMWrdujUuXLumxuvRpy5YtyJ07N+zs7GBnZ4devXop87hPjtesWTMYGxujW7du+i4lXdJ8T3bu3IlatWqhcOHC8Pb2xvDhw/Vc2dc3ZcoUVKpUCVWrVkXr1q0REBCg13oYnNKB1atXo379+qhUqRJev36tTI+MjMS8efPg6OiIa9eu6bHCjGn27Nlwc3PD999/j/v37wMAPDw8sHPnTgBATEwMgPgdUmxsrN7qTC2aHeubN2/QqlUrrFixArGxsQgMDISTkxOqV6+OM2fO8ECdhNu3b6NAgQJYvHix1vTHjx8jJCRET1VlLL/99hvmzp2L6dOnK9PCw8PRo0cP5MiRA0ePHtVjdV/f1KlTDSY8AcC8efNga2urXOwbMmQILCwscOzYMT1Xlj5o9rNhYWGoWbMm1qxZgxs3bmD16tWwsrJC27ZtEy1riCIjIwEATZo0gaenJ0xNTbF48WK8f/9ez5WlPwcOHEDWrFkxZ84c/PPPP5g4cSJUKhV2796t79JSVcLtYeHChbCwsMDcuXPh4+ODatWqwdbWVrlAk/ACVlphcEoHNm7cCCcnJ5iZmeHAgQNa8y5duoRcuXJl+pOO1JQwBM2dOxfly5dH//79cefOHTRv3hxnzpxJ9BrNzjujO3r0KLy8vNC4cWPcvn1bmf769WuULVsW7u7uOHv2rEEfqBPSrIfTp0+jYsWKCAkJQXBwMH7//XfUq1cP1tbW6Nq1K+7du6fnStO30NBQ1K5dGyqVCv369QPwv3UbHh6Onj17wsLCAnv37tVnmalC87kiIiISndxpwtOwYcOU8JTZtjW1Wg21Wo0OHTrgxx9/BADs2rULFhYWSmt+ZGQkgoOD9VlmunD8+HF07NgR3bp1U9ZHdHQ0du7cidy5cxt0eNJ83o8/95AhQ5TwFB4erkx/8eJFmtaX3kRHR6N79+6YPHkyAODVq1coVKgQfvjhBz1X9vUcP34cAwYMwMaNG5Vpb968QYsWLVCwYEG9hWsGpzSWXDo+ePAgnJ2d0aRJE+UKHgAEBgaiePHi2LVrV1qVmOF9vCOeO3cuKlasiJ49eyJHjhwoV64cGjdujGbNmsHb2xsNGjRAv379EBUVpaeKU8+DBw+QM2dOqFQqpXuUZn0EBQWhfPnycHJywp9//qnPMtMNTWC+evUqVCoVunXrBkdHRzRv3hxjx47FsmXLkC9fPuzZs0fPlaYvSZ3kPXz4EN9++y2srKxw48YNreUiIiLQqlUr1KtXL03rTG2az7N37160bNkSJUqUwOjRo7UueGnC08iRI/H48WN9lfrVaNbBN998gyNHjuDEiRMwNzdXQlNMTAwWL16M3bt3G1wYSCg2NhYLFy5E7ty54eDgoDVPE56sra3RqFEjPVWoP5rvxalTpzB69Gh8//33+Omnn5T5w4cPR5YsWbB48WIEBgZi2rRpKF26NCIiIgz6O1W7dm2sWLECL168QMGCBbW6fG7evBkHDx7UY3Wp6+jRoyhXrhzy5s2Lffv2Afjf+fOzZ89QunRp/PLLLwDS/qIDg1MaShiatm/fjiVLlmDq1Kl4+/YtAGD//v1wc3ND1apVMW/ePGzZsgVNmjSBk5NTpuhKlhY0G9Dx48fx66+/Kuttzpw5cHJygrOzM7799lssWLAAvr6+GDFiBMaOHauc6GVkmu+Xv78/8uXLh7p16yZqKXn16hXc3d3x6NEjPVSYvvz9998oV66cso52796NVq1awcfHR+naCQDu7u74448/9FVmupNwPxYREYGgoCDl98DAQHh5ecHa2hp37twB8L9tMioqSi/dKlLbrl27kD17dowbNw4LFixAvXr1En1Hpk+fjiJFimD8+PEZft+d3N+sZ8+esLKyQo4cObB27Vpl+uvXr1GnTh3Mnj07jSpMXxKexL1+/RpLlixBtmzZMHDgQK3lYmJisHnzZhQpUgTPnj1L6zL1btu2bciZMye6d++O/v37o0CBAqhfv74yf8yYMciePTvc3NyQO3du/P3333qsVr/UajWio6PRu3dv9O/fHw4ODlqh6e3bt+jevTvmzZuXYfc3H4efwMBADB8+HLlz58a3336r1UIZFRWFatWqYdSoUfoolcFJH0aMGAF7e3s0aNAA1apVg5WVFQ4dOgQg/kpm2bJlYWRkhKZNm8LHx0fZEDLqBpHWtm7dity5c6N///64efOmMn3+/PmoVKkSvv/+e7x8+VKPFaYOzY4kODgYgYGBWvMePHgAKysreHl5KcFAs3xmOHlNDceOHYO7uzsqVqyIBw8eAIBW1xAg/uBdqFAhPHnyRB8lpjsJD27Tpk1DvXr1kD9/fvTo0UNplXv9+jU8PT1hY2ODu3fvJnpdRv7+3b59G2XKlFFaVyIiIpAvXz44OjqiSpUq2Lx5s7LszJkz8fDhQ32VmioS/q2uXr2KGzduKBddQkJCUKdOHRQqVAgREREICwtDYGAgGjZsiGrVqhnc8Sph11Tgf8froKAgLFy4EFZWVhg6dKjWa2JiYhAWFpa2herJhw8flP9/8uQJHB0dMW/ePADAv//+i3z58qFXr15a+4qdO3di/fr1yv7ZUCTsJRIREYHo6GgA8RdtVCoVypcvj3fv3inLjh07Fg4ODpliPS1cuBAnT54EEN8tb/To0ShXrhxGjhypLBMbG4sKFSrAx8dHLzUyOKWx1atXw8bGBleuXAEQ30VPpVIpAxYA8TcAurm5oXfv3jh//jyAjH2ykZYuXbqEvHnzYtmyZUnOnzNnDtzc3NC1a9cMfVKj2bHu3r0bbm5uKFmyJJydnbFnzx6lBUATnry9vbXudzLkrg4fO3HiBOrXrw8XFxdl9EW1Wo2NGzeiffv2sLGx4ShhSRg/fjzy5MmD2bNn47fffkOVKlVQq1YtLF26FADw8uVLeHt7Q6VSZarQ+ejRI4wYMQJv3ryBv78/ihYtiv79+yujeFaoUAErV67Ud5mpIuF+YtiwYShSpAhy5syJihUrKgHgzJkzKF26NPLly4eyZcuicuXKcHNzUwbeMZTwpFlXhw4dwjfffIOGDRuiU6dOysAywcHBWLhwIfLkyYMRI0bos9Q0t2jRIjx//hzA/8LT5cuX4eTkBCC+h0ShQoXQp08f5TWHDx9O+0LTmZ07d6JcuXKoXLkyWrZsiVevXgEAli1bBpVKhdatW6Nt27bo0KEDcuXKlSmOUy9evICnpyfs7e1x7tw5APHhUdPYUL16dfTr1w+tWrVCiRIltMJ4WmJwSmPTpk3DkCFDAAB//PEHLCws8PvvvwOAcgUBiG81qVy5Mjp27Kh1zxN92ubNm1GrVi2EhoYqB+2PQ+dPP/2EWrVq6X1Iyy+R8LPs3bsXFhYW+PHHH3H79m00b94cJUqUwMKFC7XCk2YnqzmZMWT//POPVtcyIL7lqUGDBnB1dVVO8g8cOIDu3btrBU6K9/DhQ5QrV07rvsuHDx+iW7duqFmzpnJR6OHDhxg2bFiGPnnWnBCHhoYqB2lN626vXr3QsWNHhIaGAgDatWuHggULolmzZnj37l2GvkCRcD+zc+dO2Nvb48iRIzh06BBmz54NS0tL9OzZE0B8OPr999/x+++/Y+vWrcrfW18nNfqyY8cOmJubY8SIEZg5cyYqV66McuXKKd3wgoODsXjxYqhUKowbN07P1aaN58+fw9nZGcWLF9c63j58+BA1atTAvn37ULhwYfTp00f5vty8eROdOnXCP//8o6+y9Uazz7h+/Tpy5MiBadOmwcfHBzVq1ICdnZ2y79mzZw/69++PFi1aYMKECRn2OJVUg8Bff/2Fdu3aoVixYjh79iyA+G1nzJgxsLGxgbu7O9atW6csr4/9DINTGuvatSu6dOmCEydOIGfOnFi4cKEyb/r06Rg7dqzy+549e1CiRAn07Nkz04z69rXNmDEDefLkUTbIhBvmxYsXld/fvHmjl/q+1MfD0T979gw1atTAjBkzAMTvWIoWLYqiRYvCxsYGCxcuVIa2f/jwoXK/iSF7+fIlqlWrhlq1ammN+KVWq7F//344ODigRo0aSlckbnPxPg4AAQEBKFy4MDZt2gTgf9vY06dPYWtrizlz5iR6j4wYnhIOBNGxY0f89ddfWp+jZs2aWq0HvXv3xuzZszPkBZnkHDp0CD179sTEiROVaVFRUdi5cyesrKyU/c/HMuLf+7+4desWnJ2dsWDBAgDxrSh2dnYwNzeHvb09/P39AcR3Y12+fLnShdUQnD17FnXq1EGpUqWUbePZs2eoWrUqsmTJgs6dO2stP2zYMNSoUUNpYTE0f/31F/bu3Ytp06Yp065fv47q1aujUKFCyjrUHJ8y8gUajY/Px/766y+0bt0axYoVU3pdvXnzBsOHD0e9evW0uuhxOPJMJLk/5pEjR+Ds7AwTExOlpQmIf9ZD06ZNMXToUK2Dzv79+zN0l7K0otl5nDx5Eo6OjlpDmcbGxiIuLg7t27fXWucZxcGDB5EvXz4sX75cmfb8+XP8/vvvePXqFQICAlCiRAn07dsXAODl5YVixYph5syZWs8FM3RxcXFYuXIlateujUaNGiVqeapfvz5MTU1Ro0YNxMTEZIoD0n+VcB1oRp189uwZihcvrlw112xfAODt7Z3oJviMTHMD+/jx47UGWomIiECHDh3QpEkTLF26FKNGjUKBAgWULkkZVcL7IO/fv4/SpUsje/bsyr5FIyoqCj169EDbtm0RGxtr8NvKuXPnlJ4k/v7+KF68OHr27ImrV6/C3t4erq6uygiLhtLtPuF34vz586hVqxZKlSqlDCt+8uRJZM+eHR06dMCOHTtw5swZDBw4EJaWlrh69aq+yk5TgwcP1rovMjg4GBUrVoRKpcKgQYO0lr1+/Tpq1KiBIkWKZPiLMwm/Gxs2bICTk1Oiiwl//vknGjRogJIlSyrdEDXd9qpVq4YhQ4bobb/D4PQVJNwx7tu3DwsXLsSGDRtw8+ZNxMTEoFu3bihTpgzmz5+PsLAwXL58GY0bN0aFChWUZkdDu2KXUpoNJiAgAG/evFEGe4iIiECzZs1QrVo1zJ8/H+Hh4Xj58iV8fHyQP3/+DHml79q1a+jbty+cnJy0wpPmKubIkSOV7kFA/HMwLC0tUbly5QzXspZa4uLitE4CNTfXxsXFYfPmzahWrRoaN26s3IOgVqvRv39/LF++3OCfF6KRcD+2efNmdOzYURkBdMWKFTAyMlLuaQLiT6YrVKgAX1/ftC71q9A8FDnhZwTib2SPiYnBP//8gwYNGqBYsWJwcnLKFPcYaGi2naNHj6Jy5cooXrx4oqGOJ06ciKpVq2aKxzh8qb/++kurixkAfPfdd2jbti1iYmIQFxeHRo0aQaVSoUyZMvjw4YNBhcyE+5CzZ8+iZs2acHR0VC4w7Nu3D1WrVoWtrS3KlCkDd3d3patvZhcdHY1JkyZp7TdiYmKwb98+1KxZEyVKlEi0bd28eRNly5ZFmTJlMmwAT/j9Dw4Oxu7du1G3bl3UqlUr0fnZvHnzoFKpkDNnTuV78e7dO/Tv3x/169fXW6skg9NXNHLkSNjZ2cHT0xM1atRAqVKlcODAATx79gydO3dGsWLFYG5uDldXV3h4eBjcDbVfSrPh7dmzB9WqVUPp0qXh5uaG9evXAwDev3+Pjh07omzZssiaNSvc3NxQsGDBDH1i8+jRIwwdOhROTk7K59To0qULOnXqpOxkhw0bhoMHD2aKkQNTStOlUbMN7du3D23btkW9evUwZcoUZdShbdu2oVq1anB1dcXq1avRv39/lCxZ0iCHBU7Kxyc8rVu3hrW1NQYPHqyEp6lTp0KlUqFNmzbo3r076tatq5wcZlSafUt0dDQuXLiAKlWqwN/fHyEhIViwYIEyilyLFi0QGBiIt2/fIjAwMFO17K5YsQIdOnRQjkdHjx5F1apV0axZM2XkxKCgINSqVQvffvutPkvVq4iICNjY2Gg9gDQsLAxVqlRRwrZarUafPn2wf/9+g9q3JDw5Trg/uHDhAmrUqIGSJUsq4SkwMBCPHz/G06dPlQtZhkKznvbv3481a9YAiA9Px44dUwZbiYiI0HrN7du3M8XjRGbMmIFu3boBiO8O7enpCXd3d63bCvbt24d27dphxowZWufF7969SzSScFpicEplmg1h3bp1KFCggDIyyNy5c2FmZqY86yM0NBTPnj3D7t27cePGDeVEJSOfdKSlPXv2IEeOHJg5cyaOHj2KQYMGQaVSYcmSJQDir37funULK1aswMGDB5XWmYxGs7O4evUqxo8fDzs7O9ja2mLDhg3KMn379oWDgwMmTpyI7t27w9zc3CC7d/r5+UGlUimtcvv370eWLFnQqVMn9OnTB9bW1vD09FRGbDpx4gSaNWsGBwcHVKpUKUMH669lyJAhqFq1Kjp27AhXV1fY2Nigf//+Suvmnj178N1336FVq1b44YcfMkWL+aZNmzBu3DgcO3YMJiYm6N69O4oVK4bmzZtj3LhxWLFiBRwcHLB161Z9l5rqPnz4gIkTJ8LV1RX9+vVTwtPBgwdRuXJl5MyZE+7u7mjZsiXc3d2VizWG1IqS0C+//IKGDRtqjRzp4eGBihUr4s8//8SgQYO07nEyBJrvwuHDh9G7d280atQIU6dOVVoTLl68iBo1asDR0dEgL+4B2tuLWq3GyJEjoVKplIuiHz58wNGjR+Hq6ooqVapk+Ptt+/btm+j42qlTJ0yePFn5fe/evfDy8oKbmxvOnz+PZ8+eoWXLlhgzZoyyTHrpFszglErOnTun1cw4evRodO/eHcD/+slrnv0RGhqaZJexjNr0mtb8/f1Rt25dzJ07F0D8/T5FihSBi4sLVCpVhryP6VO2bdsGCwsLjBw5Ej/88ANcXFxQvHhxrSHX27Zti5o1axpUV4ePhYWFwcfHB6ampli9ejWWLl2KWbNmKfPv3LmDunXrwsvLS+uK3bNnzwzuSufn2LNnD/LmzYsLFy4o03x8fODm5oYBAwYoLU8fdyfJiBd/NAfjZ8+eIU+ePJg/fz6A+BHlunfvjgkTJijD1QNA1apVtS5eZFRJHXPev3+PGTNmoFKlSujTp48Sno4fP46KFSuicuXKyvoBoHSDzcySO1n7559/YGVlpTXK19mzZ1GhQgUUKlQIjo6OBnlBZufOnTAzM8N3332H7t27w9raGg0bNsSBAwcAxHdxrFu3LqytrfXacqAvCUfr1DzQddy4cTAyMlIeJh0TE4OjR4+iUqVKKFmyZIbtEhsZGYkyZcqgWLFiuH79uvLZmzZtipkzZ2ote+jQIbRo0QIqlQolS5ZE2bJlleNJeghMGgxOqeDRo0eoUqUKmjVrpgSi0aNHY9q0aTh8+DDMzc2V0BQXF4e1a9dizpw5iR62SZ8nICAA48ePR2BgIJ4/f47SpUujd+/eCA4ORps2baBSqbRGK8zI3rx5A3d3d60rM5cvX0bv3r1RrFgxrF69WpkeGhqK9+/f66PMdCM8PBwTJkyASqVC/vz58dtvvwH43wni3bt3kSdPHq1ARUlbs2YNChcurNWPPCoqCgMHDoS5uTkGDhyo9RDGhP/NiI4cOYKlS5diyJAhWuHv4xOWsWPHws7OTrnZPzM4ffq01u/v37/HL7/8gkqVKmm1PB06dAjVq1dHq1atlKGCM7OPn0F2//593L9/X2va2LFj4eTkpPV9iIyMxM2bNzNVF87kfBycAwMDUaFCBfz666/KNM1Fq4YNG+Lx48dQq9U4efIkvL29M8VDW1NCs4/ct28fevXqpWxHYWFhGDt2bKLwtH//ftSqVStDd88LDQ1FvXr14ODgoAz84eXlhZ9//hmA9sW26OhoHD16FPv371d6LqS3HgwMTqlkyZIlqFevHtq0aYOnT59i+/btUKlUMDU1xapVq5TlQkJCUL9+fYwePVqP1WZ8mgOSj48PGjdurJzAaUa3srKyyhQDI4SGhqJo0aL46aeftKZfvnwZpUuXRqFChbB48WI9VZc+hYaG4pdffoGxsbHyoM6EI7+1a9cObdq00WeJ6ZpmPe3evRvFixdXnqeimf7y5UsUKFAAbm5uGDFiRIbvRgLEn6B06dIFKpUKlStX1nrmmeZEZ9myZejQoUOmeyjykSNHULJkSa0hx4H47WjMmDHIly8fhg4dqpwgHz16FDVr1kSDBg1w5swZPVScNpYuXYpixYohIiICcXFxeP78OaytrVG9enWMHz8e79+/R2xsLG7fvo0KFSooXTczYovrl5o1axZ+/fVXrQsmb9++haOjo1a3MyA+POXOnRuzZ89Wls0M+44vsW3bNuTIkQOTJk3SGq0zPDwcI0eOhJGRkdb6y6gX2RO2aIeFhaF27dooXLgw/v33X7Rq1Qo///wzYmNj8fz5c7x8+RIxMTG4ceOG1nukt9AEMDj9Zwl3GCtXrkTNmjXRrl07BAQEYOrUqTAxMcHhw4dx//593L17F56enqhYsaJB7Vz/C816evLkCa5cuYLXr18rV4Cjo6PRvHlzdOnSRVl+0KBBWLVqldbDhDOyiIgIfPvtt+jdu3ei4bN79OgBOzs7VKtWDW/fvs3QV/v/i6Q+d1hYGCZNmgSVSpUoWHp5eaF3795pVV66l1wX4bCwMBQvXhxeXl5a9yLcvn0brVu3xqBBg1C2bFllNLGM7sWLFxg0aBBMTU2xf/9+ANrfraNHj6JLly4Z9mGTyQkICMAPP/yAatWqabVsA8Djx49RsGBB5MuXD9OnT1em79+/H56ennj69Glal5tmoqKilO6ZmuPJ6dOnsXDhQuTNmxfVq1fHqFGjEB4eji5duqB69er6LDfNqdVqDB06VOllk/DCSpEiRZSLfR8+fFCO4998802i5zYZmuvXr6NgwYJYuXKl1vRHjx4p5zajR4+GSqVSnpWXESU8rmhGqg0PD0eNGjWQP39+FCpUCDly5EDZsmWRK1cu5MmTB0WKFEHDhg31VfJnY3BKBQkPritWrECNGjXQtm1bnD59GkOHDkWOHDmQL18+VKxYETVr1uToeTqsXr0a27ZtU3a2mzZtQuHChZE3b16UK1cOHTp0ULoPTZ8+HVmyZMGUKVPQrVs35M2bV+sKTkai+R69e/dO6wGt69atg6WlJX777Tetrh99+/bFzz//nChQGRLNOrtw4QLWr1+POXPmaB2AfHx8oFKp0K9fP0ybNg3Dhg1Djhw5El3VMlQJD24HDhzAggULsHPnTiUc3L9/H9bW1vDw8MCKFStw7NgxeHp6omvXroiKikK2bNmU7pAZieZ78/btWzx79kxpTYmIiEDHjh2RPXt2pftawnWUUe8z0Pg4JGuOQa9evcLQoUNRqVIlTJkyRZl/9+5ddOzYEatXr0702ox6FTylLl68iDx58mi1rr158wY+Pj6oUaMGChUqhJ49e0KlUmWK+94+x8cXq06fPo3p06crAfPXX3+FsbExdu/erbVcw4YNMXLkyDSrMz06ffo0KlasiGfPniEyMhKLFy+Gh4cHSpYsqfSeiYmJwZQpU3Dr1i19l/tFEu4rfH190blzZ2V/GhISglatWsHY2BgrV67E7du38c8//+DixYu4fPlyhjgvZnBKJR+HJw8PD7Rt2xZBQUG4c+cODh06hD///JOj5+kQFRWlDMN54MABXLlyBQ4ODpgzZw4uXLiA2bNno0aNGnBzc8Pr168RERGBkSNHokyZMqhbty4uX76s74/wRTTfn927d8Pd3R2lSpVCpUqVlFECf/rpJ+TJkwedOnXC2LFj0atXL+TNmzdD93tOLVu2bIGFhQWqV68OS0tLlCpVCuPHj1cGfJg8eTKyZcuGIkWKYMOGDQxN/y/hPmvkyJEoXLgwXF1d4e7ujrp16yp97/39/eHh4YFSpUqhcOHCqFmzJsLDw/HhwwdUqFABO3fu1NdH+CKaz71z507UrFkTBQsWRJMmTTB27Fio1WqEhoaic+fOyJ49u3KynBkG7kn4GZYsWYIffvgB7du3x7Zt2wDEX7AZNmwY3Nzc0LlzZxw9ehSenp7o2LGjss4SntQYSgt3ZGQk6tati0KFCuHPP/9UpsfGxuLDhw/w9fVFrVq1YG1trTWASGaX8Ps0atQolCxZEj///DPCwsIQExODAQMGQKVSYcKECZg/fz6GDBmCnDlzZroWW10+3naOHz+OggULom/fvihVqhSaNWuGYcOGYcWKFShatKjS5TMzbF+jRo1C3rx5sW3bNq17AENCQlCvXj04Ojom2WMhvYcnBqdUlFTLU7t27RLtTDPDQfhr0Ky/N2/ewMPDA3Xq1MEvv/yCHj16aK3bY8eOwd3dHT179lQ2sHfv3mX4gREOHDiA7Nmzw9fXFw8fPkT79u1haWmJY8eOAQBWrVqF7t27w8XFBV5eXhk2JKamGzduoECBAli+fLnyvItRo0ahRo0amDRpEmJiYhASEoIJEybAysoKoaGheq44/Zk9ezbs7OyUoDRt2jRkyZIFzs7OOH78OID4k8fnz59rDXM/bty4DDtIwoEDB5AtWzbMmjULN2/exKBBg7SukL9+/Rpdu3aFSqXC+fPn9Vxt6ho+fDjy5cuHtm3bomnTplCpVBg4cCCCg4Px7t07zJkzB05OTihevDjq1Kmj9JDIDCdynyOpzxkdHQ1vb2/Y2tpqhScNf39/gxgI4mPLly9XgvXAgQPh5uaGn3/+GZGRkYiLi8P8+fNRpkwZVKhQAR4eHgY74qufnx+qV6+uHH/mz5+P7t27Y/To0UpXx9jYWFSqVCnDXYhKzpkzZ1C8eHGcOnVKa7pm+woLC0PdunVhZmaW4S44MDilso/DU61atfDdd99l6r7gqUkThN68eYPq1asja9asqFy5cqLlpk2bBmdn5ww5jLQmOCcM0JGRkWjdurXyzILg4GA4ODigX79+iQ7kUVFRBtNN5mMfr4ujR4/C3t5ea/SrqKgoDBs2DE5OTsrJTFhYmN6eMp7eJBwB7/Xr12jZsqUytP3evXthYWGBoUOHok6dOnB2dlaeRadx48YNtG7dGjY2NhkuvKvVakRGRuK7775TBkMIDg5GwYIFtR5kCsR34+vbt2+mukJ+8uRJ5M+fX2uI+U2bNsHKykoZsCg6OhphYWG4e/euwfWQ0Gwbf/31FxYtWoRdu3Ypw+7HxsaiSZMmsLGxSTI8GQrNOgoICICLiwumTp0KIH799O/fHxUrVlRanoD47UvznTJUN27cgLW1NWrVqqUcuz8eGMPHxwdFihRJNJJjRjBq1KhEt0hs27YNRYoUSfLBz5qu0e/fv8eAAQPSfQvTxxicvoKEJ3fLly9HlSpVlIdyGspVu9Tw9u1beHp6Im/evFi7dq3W/QXHjh1DoUKFEg0Nm95pTkQePXqExYsX4++//1bmNWjQAH5+fggKCkL+/Pm1BjDYvn07rl+/nub1pjea7efYsWO4dOkS9u/fj8KFCytPG9dcHY+OjkbWrFm1RrQkbZrt6eLFi3j48CGuXr2KwoULK8/omTVrFlQqFWxtbZWR9YD4ixoLFy7M0IHCy8sLmzZtwtOnT1GwYEGtbW3nzp1KS1tG7x1w5coV7Ny5U+lyePDgQRQrVgwvXrzQepjk6tWrYWpqqgwVnFBGXwcptWvXLpiamsLNzQ0qlQodO3ZU7s/QhKdChQolGsLdkJw7dw79+vVDp06dEBERoXXfdv/+/ZWWp8wySNN/odnGbt68iWLFiqFGjRpaF3xXrFiB3r17I1++fBlytM7Dhw+jR48eiS6urFu3Tis4xcXFKeti27ZtSk8ajYwUnoyEUp1KpRIAIiLSvXt3yZs3r+zevVuZR9ri4uJErVaLiEhQUJDExMRIeHi45MqVS/744w8pXbq0zJ8/X/744w+JjY2VyMhI2bNnj5ibm4uVlZWeq/98arVajIyM5Pr16+Ll5SUHDx6UV69eKfONjY1l1qxZUqVKFWnRooXMnz9fRERCQ0Nl7dq14ufnp3yvDJVKpRI/Pz+pX7++vHjxQqpWrSpqtVomTJggIiKmpqYiEr/OnJycxMbGRp/lplsbNmyQ9u3bS2RkpFSsWFEcHBzk+PHj4uTkJN27dxcREVtbW2natKkMGzZMXFxclNfmzp1b+vXrJ6VKldJX+V/k1q1b8vTpU4mJiZHs2bPLgQMHxMPDQxo1aiSLFi0SEZE3b97I1q1b5datW8r2mlGtX79eunbtKitWrJB9+/aJSPw+5smTJxIcHCzGxsYSExMjIiLNmjWTAgUKyP379xO9T0ZeB59DrVYr+9WXL1/KqlWrZOHChXLhwgU5deqUXLt2TebMmSN+fn5ibGwsO3fuFAcHB+nRo4dERUXpufq0FxkZKVu3bpUtW7bIjRs3JFu2bGJqairR0dFibGwsv/32m7i7u8vSpUtl1apVBnvMunr1qoj873zQyclJdu3aJS9fvpRmzZpJSEiIiIhkyZJFoqOjxc/PT1xdXfVZ8hdp0KCBLFu2TExMTGTLli3y999/K9PfvXunHJuNjIxEpVJJRESErFq1SllOw9jYOM1r/2J6jW2ZnCZd9+/fH99++61BPGE9JbZv3651Y+COHTtQuXJllCtXDsOHD8fFixcBAEFBQahZsyZy5coFV1dXdOjQAaVKldK6Cp5R3L59G7lz58bo0aPx/PlzrXnHjx9HiRIl4OjoqDV93LhxKFasWIbrB/w1PHjwALt27YKvr68y7ezZs7CyskKrVq3w999/4/bt2/Dx8YGtrW2GvP/ma0jY0q1Wq7FgwQLUrFlT66r5L7/8Ajs7O9y8eRNxcXFo3ry51vDUGemKYEJxcXEIDAyEhYUF1q1bByD+ngNzc3O4uLhoLTt27FgULVo0wz+Uc/Xq1ciWLRs2btyodDUD4v+GzZs3h4uLi9b+JDAwECVKlMDevXv1UK1+nD59Wusq+alTp9C7d294e3vD399fmX7mzBm4uLigZcuW8PPzAxD/nUq4jKG5ffs2RowYARMTE8yYMUOZrjnHiY2NxfDhw7XuiTQkwcHByJUrF5o0aaJM0+yDL168iNy5c6NVq1bKPU+a+3MzmlOnTmHWrFmYOXMmFi9eDC8vLzRp0kQ5d9u5cyfMzc3xzTffYMuWLdi5cycaNGiAcuXKZejuvwxOX9nr169RvXp1drP6yLVr1+Di4oJvvvkGT548wcOHD2FhYYHp06fjhx9+QN26dVG3bl2li0lwcDAaN24MlUqFRYsWJQodGUFkZCTatGmDAQMGaE2PiYnBy5cv8eeff+Knn35C2bJlUbduXQwaNAjt27dHrly5MmQTfmp7/vw5TE1NYWpqikmTJmnN++uvv1CsWDHY2dmhSJEiKFasWIYM1l9DwtCkGbo+PDwctWvXRqNGjZR5J0+eRP369WFtbQ0nJyeULl1aObhlhi7GAwYMgKurq9J1ZMWKFVCpVPjmm2/QsWNHdOzYMVNsazdu3ECZMmWwdOlSremav+HJkyfRqFEjODg4YMOGDdi4cSMaN26MChUqZNhwnFJr1qxB3bp1tR7lsGXLFuTIkQPm5uY4ceKE1vJnz56Fm5sb6tevrwyiYgiio6O1hu5PeG/t06dPMWTIEBQvXlzrkQQZfcj+1BAbG4v9+/fDxsYGbdu21ZoXHh6OWrVqQaVSoWHDhhl237p06VLky5cPFSpUgIWFBVxcXNCiRQu0bdsWzZs3V855L1y4AGdnZxQrVgzlypVD06ZNM/wjeRic0oChPh1blxUrVqBOnTpo3749fv75Z62T4f3796NJkyaoXbu2Ep6CgoIy9EMXP3z4gJo1a2LevHnKtIMHD2Lw4MEwNzdHmTJl4OrqikOHDqFDhw5o2rQpBg0alKHvJfmvNAcVzX0Wq1evRv78+dGmTZtEy4SHh+Ovv/7C+fPntR7YSvEmT56MKlWq4NChQwDiHyptY2Oj3NwNxLfELF26FDNnzlRCU0Y7uH18T47mc5w8eRKVK1dWWlXUajVOnz6N7777Dq1bt8bo0aMzxbZ26NAhODg44O7du8melF29ehX9+vWDlZUVypcvD29v7wx/MvM5NN+N0NBQ5eLb48ePlc9+8OBBFChQAJ06dUr02IKTJ0+iZs2aGfb4kxIbN27U+n3nzp2oUKECXFxcUKVKFRw+fBhqtRrPnz/H0KFDUbJkSeXeSEOUcMCdhPufw4cPI3fu3InC08CBA3HkyJEM2yK3dOlSZMmSBZs2bUJERASOHTuGunXron79+pg9ezZq166N5s2bK4MHhYeH49mzZ3j27JmyrtjiRJQCCQ/MK1euRIMGDWBvb49Ro0ZpLacJT3Xr1lWuAGbkG5VDQkJQqlQp9OrVC3fu3MH06dPh6OiIVq1aYc6cOVi2bBlKlSoFHx8f5TUZ9WpUatB89jNnzmD58uV49eoV1Go11q9fj6xZs2LIkCHKspoTH0peu3btoFKpkC1bNkycOBGnT5/Gb7/9hubNmyd7o3tGOon+eKCYBw8eJHo4dOPGjVG9enWtaZoDeEbetyQ0ffp05M2bV/k94T5E8xlv3bqFGzduIDw8HO/evcsUJzO6aD77gwcPlPB869YtVKxYETNnzlT2Idu3b4ednR169uyZ6BkzGbVLVUrcv38f+fLlQ926dQEAd+7cgampKSZMmIAFCxagVatWsLKyUoLSo0ePMHLkSOTLlw+LFy/WZ+l6odl2Dh8+jIEDB6Jhw4ZYsmSJEhoOHToEKysreHl5YeXKlRg4cCDs7e0z7MW9EydOQKVSKd24NZ/f19cXdnZ2eP/+PbZu3Yq6deuiRYsWSY68mtH3tQxOlOY+DgPr169HuXLlUKZMmURDWh48eBA1a9aEt7c3IiIiMvwGd+zYMZiYmMDe3h45c+bEokWLlBO+mJgYeHp64rvvvlOWN+TgBABbt26FhYUFJk2ahGvXrgGIP7lbt24dzMzMMGzYMGVZQ19Xuly7dg39+/fH6NGj0aZNG3Tp0gWenp6oV68eZs6cCSDjHtB+/vlntGjRQnmW2/379+Hm5oYSJUpgz549yv08d+7cQcmSJbF69WoA8d+ZhFeLM4PNmzcjW7ZsSstiUkaOHIlevXppBeOM+rdPiefPnyNv3rxwcnLCpk2bEB0djW+//Rbu7u747bffEoWnvn37ao00mFm+I58SHR2N3bt3w8nJCQ0aNMD27dsxYcIErWVGjBiB3LlzKxc0b9++jfHjx2f4ewO/1I4dO5A1a1Z069YN3t7ecHFxQfXq1XH48GEA8aNbli9fHmXLlkWZMmUy3GMcErp37x5q1qyJ5s2baz2j6eeff4a9vb1yseqPP/5AgwYNULNmzUz3vWBwojSlOfAcPXoUv/zyi/KcnfXr16N69epo27at8kA4jSNHjmSqG3H9/f1x8eLFRA9MjIuLQ5s2bZQWJ0M4SH8s4Wf++++/kTdvXixZsiTJ7lfr1q1Djhw50KdPn7QuM8OYPn065s6di6CgIMTGxmLEiBEYPHgwgoKCsH//fuW+QZVKhVu3bum73C/28OFDpZudZqjf06dPY9CgQcifPz8aNGiAmTNn4tWrV/jmm28waNAgPVb7df3777+wtLREq1attJ4Jo9m2QkJC0KpVK637UgzFiRMnYGRkhEqVKsHb2xu7d+9GdHQ0unXrhsqVK2uFpx07diB79uwYNGiQwQ3sFBMTg71796JcuXLIkiULevXqBUD7/qVmzZqhdu3ayu+ZubXyUwICAuDm5obZs2cr006dOoVOnTqhZs2aSvCOi4vDq1evMsUQ7ffu3UPDhg3h6emJe/fu4dixYzAzM8O2bdu0ltO0sGW2izIMTpTmNK0IQ4YM0TpZW7VqFWrXro3WrVsnannK7KKjo+Hj44MCBQoY3GcHEo9wBQALFy5EjRo1tLrHfLwDXrp0KaytrREYGJgmdWYkarUaP/30E3LmzIl27dph69atiIqKQtGiRfHTTz8py40YMQLNmjXLUN3yEkr4nTh9+jQ8PDy0roSePHkSvr6+yJkzJ9q0aYOaNWtCpVIlerBvZrJx40aYmZmhQ4cOWoNdPH/+HI0aNUL16tUN9kS3e/fuKF++PFq1aoVatWph7969yYanPXv2GNz+WBOwo6OjsWvXLri6uqJs2bJa0wFg6tSpqFGjRobdb6SWFy9eoGDBgonuCzt58iRKly6daHpmce/ePTRq1AgVKlSAqampMmJpbGxskt+JzBSeGJwoTV29ehW2trbKA4E/tmrVKtStWxdeXl6Zrnk3OWvXrsXAgQNhY2OT4Uf0+hJJjXAFAOPHj4ebm5vye8LWqPPnzystdgkfJkiJXbp0CX379kXJkiXRv39/rF+/HlWrVlUGXUkoo59MP3jwAEWLFkWjRo1w9OhRrXkvXrzA0KFD0aBBA6hUqgz38OyUiI2NxdKlS2FqaopChQopV4erVKmCSpUqGdRAEBqa1pJ9+/aha9euOHToEFq2bAl3d3fs27cP0dHR6N69O9zd3fHLL7/wvknE39O1Z88e2Nvbo2bNmlrfl+7du8PDw8Mg7vv6WMJj0YsXL5QWp48Hh6hZs6ZW1/vM5t69e6hbty7Kli2LP//8U5mesAt0ZsTgRGlqz549cHNzw+vXr5O9KXvJkiXw9vZWhg3OzO7cuQMPDw988803Gbqr1JdIaoSrJ0+eKN+LzZs3Q6VSJRoaODo6GkOGDMHGjRsz9c45NWjWT3BwMPz8/ODk5IRChQohb968GDFihNaInxlxXSZV8/379+Hs7AxPT08cP35ca15MTAxCQ0Px4sWLtCpRry5fvowffvgBnp6e6NGjB+bPn6+c/Gb0kPwpmn2Lv78/tm/frjXv1atXKFWqFObPn49Xr16hZcuWqFGjhhKe2rRpg3r16uHNmzf6KF0vEj5jaOnSpVi2bJnS9TUyMhJ79+6Fvb09HB0d0bZtWwwdOhTZs2fHlStX9Fl2mtOsp4+HXP/++++RO3dunDx5Umuf1LRp00SPzshs7t+/j4YNG6Jhw4ZJXozLjBicKNUl1SSrOUj/9ttvsLCwUKYnvIJ16dIlBAcHA0Cm6Af8uQIDAw3q8wKfHuFq1qxZytXe9u3bw8LCAkeOHEFkZCTevn2LsWPHwtramg8E/n8p7QIxadIk5M+fH/Xq1ftKFaWNhCd7q1evxqlTp5SRqu7du6eEp4TBOyOGw68hM7c0afj7+yNPnjxQqVRo3LgxNm3apNw/u3v3btSsWROvXr3CrVu30LJlS3h4eGD79u2IiYkxmGAN/G+b2LZtGwoUKICKFSuiVq1ayJs3rzLaZlRUFPbs2YOqVatCpVLhyJEjWvfPGZJ9+/ahYcOG6Ny5M+bMmaNMb9WqFXLlyoUpU6Zg0aJFGDJkCCwsLAzigui9e/fg7e0NNzc3rcFUMisGJ/oq/P39sWHDBgDx/e07dOgAALh+/TpKliyJqVOnKldtYmNjERcXh65du2o944gyt0+NcLVgwQLExcXh+fPn6NmzJ1QqFUqXLg1XV1cUKFDAILs0JiVhaDp58uQnu58lPFm+fv268tqMHCa2bdsGS0tLODg4wN7eHh06dFBOVDThqXHjxp8cYS6zy8h/3//i8ePHcHNzQ7Vq1VChQgX07NkT9vb2WLx4MTZt2oQmTZpg//79AICbN2+ifv36aNSokTIyY2aV1Pfh5MmTykA8QPzAPJpHF+zbtw9AfMvTli1b4O7ubrCh6cyZMzA3N0efPn3QpEkTFCtWTBk4AwCGDRuG2rVro2TJkqhbt26GHj0vpW7duoWhQ4dmqnuZkqMCACFKRbGxsdKtWze5d++eVK1aVebNmydLly6VHj16SEREhAwZMkRu374tHh4eMm7cOHnx4oWsWLFClixZIn5+fuLo6Kjvj0Bp4OTJk1KvXj2pWLGiWFtbS58+fcTLy0v69u0r169flx49ekivXr3E2NhYDh48KP7+/pI9e3apWbOm2Nvb67t8vQMgKpVKRETGjBkjhw4dkv79+8u3334rOXLkUOYl9xoRkbi4ODE2Nk6zmr+UWq0WIyMjERH58OGDmJqaysuXL2XIkCHi5eUlbdu2lY0bN8qmTZvE2NhYfv31V3FycpL79+9LvXr1pFKlSrJ27VrJnj27nj8JpaX79+/L6NGjRa1WS+fOnUWlUsncuXMlV65csmvXLqlcubL4+flJlixZ5O7du5IjRw4pVKiQvsv+ajTb0evXr+XJkyciIuLm5iaTJk0SADJ58mR5/vy5uLu7S7169SQuLk42bdokBw8eFA8PD4mKipLY2FgxNzfX8ydJOwn3mbt375a7d+/KiBEjJDg4WHbv3i1jxowRb29vWb58uYiIBAcHi4mJiRgZGUnOnDn1WbreJNxfZ0r6TG2UeYWHh8Pd3R0qlQq9e/fWmvfmzRsMGzYMZcqUgZmZGcqVKwd7e3u2IhigT41w5ebmhvnz5/MmbR0mTJiAvHnz4uTJkwgPD9d3OV9NwkcSnD9/Hm3btoW3t7dyfxwAbNq0CfXq1YOXl5fS8vTgwQN26zRgd+7cQaNGjeDp6Ym7d+/i/fv3OH/+PJo0aYK1a9cCMIxWOU1LwM2bN1G9enU0bNgQ33zzDYD47q7nzp1DaGgoqlSpohyzz5w5ozyuwBBbbTXfi7///hsHDx5Ep06dtO5ZCg0NxcqVK2FjY5PoPIcyLwYnSnUxMTGIiIiAp6cn3NzcUK9ePaxcuVJrmcjISLx48QIbNmzAqVOnDGIgCEP2X0a4mjFjhkHck/E59u7dqzWK4P3791G+fHkcPHgQQPz9chcuXMC4ceOwZcsWfZWZ6jQXYlxcXADEj77p4OAAGxubRPejbNq0CV5eXqhatSru3Lmjh2opvbl37x48PT3h6elpMDewJ6QJADdu3ECuXLkwduxYPHnyJNF+9a+//oKbm5syMMSNGzfQtm1bjBgxwiDu1UnK9u3bYWZmBgcHB+TNmxfe3t5a88PCwrB69WqYmJhg8ODBeqqS0hKDE301YWFhCAoKQvPmzVGrVq1E4ckQ+sISR7hKLVu2bIFKpcJvv/2m3IcRHByMMmXKYMaMGTh//jw6d+4MZ2dnVKpUCSqVCmvWrNFz1anjw4cP2LVrF5ydndGoUSMA8c+Dc3BwQLt27bRanYD4Ie5btGhhsPdiUGKah3Z6eXkpgx4YkuDgYNSoUQMDBw7Ump7wOLx//36oVCpcv34dAODj44PGjRtn6pbspCR8WLSnpyfWrFmDu3fvYuPGjbC0tETnzp21lg8JCcH69euVwUcoc2NwolSh2dH4+/vj4sWLCAgIQGhoKID4IaabN28ODw8PrFixAgAwbtw4dOrUieHJQHCEq9QxdepUmJiYYO7cuXj37h3ev3+PAQMGwNnZGSYmJhg0aBD2798PtVqNZs2aYeTIkfou+T/T7CM+fPiAAwcOwNHREQ0bNgQArFu3DlWqVEGXLl2UEfU0NPsfIo179+6hSZMmqFq1Ks6fP6/vctLUzZs3UaxYMZw6dSrJ465arUZMTAy++eYbqFQqVKpUCebm5gYz5Pi1a9e0uoUfPXoUTZo0QcuWLZULMLGxsdi7d2+S4ckQuntSPAYn+s80O4zt27fD0dERhQoVQtmyZTF8+HA8evQIQHx4atOmDcqUKYMKFSogV65cBnfgMmQc4eq/iY6OVv7/xx9/hJmZGRYuXAgg/p7B69evJ7pHsFq1avjll1/StM7UoDmpS3gSkzA87d+/H46OjkrL0+rVq1GlShX06NEjUcsT0cdu376N1q1bG1xr5Pr162FiYqIcr5MKT+Hh4di7dy927NiBX3/9Fffu3UvrMtOcWq3GmjVrUKBAAa1u0OfPn0euXLlgZmamFR414Slv3rzKPWJkWBicKMUS7nA1/3/gwAFYWFhg9uzZCA8Px/jx42FtbY0OHTrgwYMHAOKfsL169Wr4+vqySdsA3bt3Dy1btkSLFi2wfft27NixAx4eHmjRogVUKhWqVKmiBIQ7d+7g6dOneq44fUh4JXPOnDn4/fffYWJigpw5c2Lu3Lla4fL9+/e4fv06GjZsiPLly2fYh5w+fvwYgwcP1nomyMctT6VLl0anTp0AxD8028nJCf379+f9cKRTwgsRhuLs2bPImjUrtm7dmuwyCxYsQIMGDdKwqvTj8ePHAICAgADlHtyLFy8iX758+Oabb7SetRgbG4vt27ejcOHCvFhjgBic6Is8evRI2ZEEBgbC29sbP/74I4D4+1bs7e1Ro0YNODs7o0OHDspOiQwbR7j6cpMmTULu3Lmxbds2rF69Gn379oWxsTHmzp2rXCldsWIFmjVrhjp16igtNhkxSFy7dg0ODg7o27cvbty4oUzXhKfIyEisXr0aTk5OSsv1okWLlBZuItL27NkzWFtbo1mzZlrH44T726FDh2LUqFEGtQ/W7B/j4uJw5coVmJubY9OmTUp4+vPPP5E7d260adNGKzzFxcWxR4SBYnCiFIuJiUGdOnWQP39+vH37FkD8jevXr1/H69evUbp0aWVozsGDB8Pc3Bze3t54+PChHqum9MLQR7j6EqGhoahYsSJmzZqlNd3HxwcmJiaYP38+Pnz4gFevXuHgwYPKyUBGbXECgMuXLyvdOhOGJ81ne/fuHaytrTF79mw9VUiUsWzbtg1mZmbo1KkTbt68qUwPDw/HmDFjYG9vb/C9QVq0aIG8efNi+/btSng6f/48cufOjfbt2yvnPGS4MvETquhrMTU1ld9++00KFSok1atXl7dv30rr1q2lbNmysnHjRrGzs5Pp06eLiEjZsmWlSJEiYm5uLlmyZNFz5ZQelChRQubPny9GRkby448/ypkzZ/RdUroGQOLi4iQ0NFRy5MghIiIxMTEiIvLjjz9K3bp1ZfLkyTJr1izJnTu3eHl5ibGxsajVajExMdFn6f9J+fLlZdmyZXLp0iWZM2eO3Lp1S0REjI2NJTY2VoyNjcXV1VWKFCkiIvHriYiS16JFC5k7d65s3LhRWrVqJd27d5f+/ftL+/btZfny5bJjxw4pWbKkvsv8qtRqtYiIREVFaU2Pi4sTEZEdO3aIp6endO3aVfbv3y/R0dFStWpVOXjwoPzxxx8yZMgQ7msMHIMTpYhmh+Hk5CRr1qwRS0tLadCggbx9+1ZERF69eiUvX75Udk53796V9u3by++//y4FCxbUW92UvpQoUUJ+++03MTU1lREjRsiff/6p75LSjY8PyiqVSnLlyiWVKlWSuXPnSkhIiGTJkkViY2MFgNjb20uuXLlk7969YmxsrLwuMzy53dXVVQlPM2fOlMuXL4tI/DqaOXOm3Lt3TypUqCAi8euJiJJnZGQkffr0kbNnz0rZsmXl8uXLcuPGDSldurScOXNGXF1d9V3iV2dkZCTPnz+Xzp07y4kTJ5TpxsbGSnhav369NGnSRCs8Va5cWS5cuCCjR4/mvsbAqcDoTJ+gVqvFyMhIoqKiJGvWrCIi8uHDBzE1NRURkeHDh8uvv/4q5cqVk5MnT4qfn5/8+OOPkjdvXrGwsJB9+/bJpUuXxNHRUZ8fg9KpO3fuyPjx42XWrFlSuHBhfZejd5rtTUTk6dOnEh0dLdbW1mJhYSE3btyQ7t27S+7cuWXr1q2SM2dOiYuLkzZt2oiPj4+4urqKSqUSAJnuwH716lX54YcfJDg4WBwdHcXY2Fj+/PNP2bNnj5QvX17f5RFlOHFxcVoXWgzJw4cP5bvvvhMrKysZM2aMVK9eXZmXcL107NhRDh8+LPPnz5dmzZpJtmzZ9FUypSMMTqTT8+fPZciQIdKvXz+pU6eOMv2XX36RX375RX7++Wf5/fffBYAcP35ctmzZIidOnJDIyEiZMmWKlC1bVo/VU3oXExPDbpwiWoHHx8dH9u/fL3fu3JFq1apJzZo1ZdKkSXL48GHx8fGRx48fS7Vq1eTRo0cSExMjN27cEBMTE63gldn4+/vLjh075PTp0+Lq6ipt2rTJ9N2KiL6WhPubzHixRZf79+/LwIEDBYCMHz9eCU8ARK1WK+GpXLlyIiJy/vx5MTc311u9lH4wOJFOmqszuXPnlrFjx0r16tXlp59+khkzZsimTZukfv36cvv2bfn2228le/bssm/fPrGysuIJMdEXmD59usyaNUuWL18uRkZG8ueff8rmzZulUaNGMm/ePAkKCpLFixdLUFCQZM2aVX788UcxMTEx6CvIREQplVx4EhGJiIiQadOmSXBwsAwdOpQXaUjB4ESfRbODMTMzE2tra9m5c6esW7dOPD09lWXu3LkjDRs2FFtbWzl37pyoVCqDu4pF9F+EhIRImzZt5JtvvpF+/fop03bs2CHTpk2TMWPGSPfu3RO9LjY2NkMPBEFEpA9JhaeYmBgZNmyYLFiwQC5fviwuLi76LpPSkczZp4NSXYkSJWTu3LkSEREh69atk1GjRimhSTMQRKlSpeTw4cOyceNGMTIyYmgiSiEzMzN59uyZPH78WJlmaWkprVu3FkdHR7lw4UKSr2NoIiJKOc1ARSqVSn788Uc5efKkjB8/XpYvXy7//PMPQxMlwuBEn61kyZLy+++/S82aNeXYsWPKMNJGRkZKeCpZsqQ4ODjos0yiDEGzzXzM3d1d7t27Jw8fPlSmmZubi6Ojo/j7+0tsbGxalUhElOklHOW1ZcuWMmfOHIMZZZBSjsGJUqRYsWIyf/58ASBTp06Vs2fPikjmGPqYKK0kHMTB399fnj59KuHh4ZI1a1bp3r27+Pn5ycyZM5VnF4WHh8vFixelWLFibF0iIkplJUqUkJkzZ0rNmjXl0qVLymMOiD7Ge5zoi9y/f1+GDh0qQUFBMnv2bKlataq+SyLKEBKOYDVhwgTZunWrhIeHi4jIlClTpEuXLnLixAnp1KmTFCxYUFQqlRgZGUlYWJhcunRJTE1NDXIULCKiry3h41aIksJLl/RFSpQoITNmzJDx48dLgQIF9F0OUYahCTy+vr6ycOFCWbJkieTMmVMOHDgggwYNkmfPnsm4ceNk37598s8//8i1a9ekcOHCMnDgQDExMeFAEEREXwlDE+nCFif6TzjkOFHKqNVqiYqKkkaNGknTpk1l+PDhyrxffvlFJk6cKHv27JH69esnei2HHCciItIf3phC/wlDE5FuCa9PGRkZSWxsrAQEBCgPVIyOjhYRkZEjR4qXl5fMnj1bROKDUkIMTURERPrD4ERE9BX5+fnJr7/+Kr/++qu8evVKREQsLCzExcVFFi5cKJGRkWJmZiYxMTEiIlKwYEElUDEoERERpR8MTkREX8maNWukV69e8uzZMzE3Nxdra2tl3qhRoyRLlizSpk0biYqKkixZsggAuXXrluTJk0ePVRMREVFSeI8TEdFXsHbtWunTp4+sXbtWmjRpImZmZiIiMnv2bClRooQ0adJEdu3aJZMnT5aXL1+Kq6urvHr1SiIjI+Xq1atiYmLC0fOIiIjSEQ7NRESUym7fvi0zZsyQ2bNnS6tWrZTpbdu2la1bt0qDBg3EzMxMmjdvLlWqVJHFixdLeHi45MqVS0aOHMnR84iIiNIhHpWJiFLZ06dPJSwsTGrXrq087HbAgAFy+fJl2bt3r8yePVtmz54tkZGR0qxZM5k4caLW6+Pi4hiaiIiI0hl21SMiSmXTpk2T2bNnS1BQkDLt5cuXEhcXJ4UKFZLbt29Lr169BIBs3LhRChcurMdqiYiI6HNwcAgiolRWvHhxiYyMlCNHjijT8ufPL4UKFRK1Wi2lS5eWZs2aSa5cuTgQBBERUQbB4ERElMoqVaokJiYmsnjxYnny5InWPCMjIwkLC5PTp0+Lo6Oj5MiRQ09VEhERUUqwEz0RUSorWrSoLFr0f+3dW0hU7x7G8WcyD9MBQ6SoUNKkMEdRC5oy6WBR0QFJkuiklqFJlKDVVYVGhFFiJ81StMIOpA0U3aSV1QxEYGqkxlBoEA2kQQeNsLL/xWYPe7a1R2HrbPf/+4F1sX7vetd619zIw2/m9ZzS0tLk6+urvXv3Kjo6WpL05s0b7dixQ+/fv5fFYpEkds8DAGAE4DdOADAEfv78qYqKCmVlZWnSpEkymUz68eOHvnz5Ikl6/PixvL299fPnT/7RLQAAIwDBCQCGUFNTk8rKymS32xUcHKzY2FhlZGTIy8uLLccBABhBCE4A4AF0mgAAGFkITgAwxPgNEwAAIx+76gHAECM0AQAw8hGcAAAAAMANghMAAAAAuEFwAgAAAAA3CE4AAAAA4AbBCQAAAADcIDgBAAAAgBsEJwAAAABwg+AEABgWqampSkxMdKl1dnbKZDJp7ty5+vTpk2cWBgDAABCcAAAe0dnZqSVLlshoNOru3bvy9/f39JIAAPgjghMAYNh1dXUpISFBvr6+qq2tdYamwsJCRUZGauzYsQoKClJWVpa6u7slSfX19TIYDH88/slqtSo+Pl5Go1FBQUHavXu3enp6nOPTpk3rNzc3N9c5XlJSounTp8vHx0czZ87U5cuXXdZuMBhUUlKilStXymg0KjQ0VNXV1c7xjo4OGQwGNTU1OWsHDhyQwWBQUVGRs/by5UstW7ZM/v7+znVMmDDhv/HxAgCGAMEJADCsPnz4oKVLl2r06NGqra11CQujRo3SqVOn1NLSoosXL+r+/fvat2+fJGn+/PlyOBxyOByqqamRJOe5w+GQJL1+/VorVqxQUlKSnj9/ruvXr8tqtWrXrl0ua8jPz3eZe+jQIUmSxWLRnj17lJOToxcvXigjI0NpaWl68OCBy/wDBw4oKSlJzc3N2rRpkzZs2KC2trbfvu/bt29VVFQko9HoUt+2bZu+f/8um80mh8PhEqoAAP97DL9+/frl6UUAAP7/paamqr29XZ8/f1ZLS4tmz54tq9UqLy+vP86prq5WZmamurq6XOr19fVavHix/v1PWHp6ury8vFRaWuqsWa1WLVy4UD09PfLz89O0adOUnZ2t7Ozsfs+Li4tTRESEzp8/76wlJyerp6dHd+7ckfSPjlNmZqZKSkqc15jNZsXGxqq4uFgdHR0KCQlRY2OjoqOjlZKSIm9vb9XV1bk8d8yYMSorK9PGjRslSZWVlcrOztbHjx8H9HkCAIYXHScAwLB59OiR+vr61NTUpFevXunYsWMu43V1dUpISNDUqVM1fvx4bdmyRR8+fNDXr18HdP/m5mZVVlZq3LhxzmP58uXq6+tTe3u72/ltbW2Ki4tzqcXFxfXrJs2bN6/f+e86Ts+ePZPFYtHhw4f7jYWEhMhisQz43QAAnjXa0wsAAPx9hIaG6t69ewoMDFRxcbE2b96sVatWKSoqSh0dHVq9erV27typI0eOKCAgQFarVdu3b1dvb6/GjBnj9v7d3d3KyMjQ7t27+40FBwcPxSv9Rzk5OcrNzdXkyZP7jZWXlyslJUXjx4+X0WjUjx8/5OfnN+xrBAAMDB0nAMCwiYyMVGBgoCRp/fr1WrdunbZu3are3l41NDSor69PJ06ckNls1owZM/Tu3btB3T82Nlatra0KCwvrd/j4+LidHx4eLpvN5lKz2WyaNWuWS+3Jkyf9zsPDw11qt27dkt1ud9l44l+ZzWatXbtWc+bMUWNjo/Lz8wfyigAAD6HjBADwmLNnz8pkMikvL0/Jycn6/v27Tp8+rTVr1shms+ncuXODut/+/ftlNpu1a9cupaena+zYsWptbVVtba3OnDnjdv7evXuVnJysmJgYLV26VLdv39bNmzdVV1fnct2NGzc0Z84cLViwQFVVVXr69KnKy8tdrjl27JhOnz79x05ZTU2NKisr1dDQoODgYE2cOHFQ7woAGF50nAAAHhMQEKALFy6ooKBA3759U2FhoQoKCmQymVRVVaWjR48O6n5RUVF6+PCh7Ha74uPjFRMTo4MHD2rKlCkDmp+YmKiTJ0/q+PHjioiIUGlpqSoqKrRo0SKX6/Ly8nTt2jVFRUXp0qVLunr1ar+uVFhYmFJSUn77HLvdrvT0dF25csUjXyEEAAweu+oBADAIBoNBFotFiYmJnl4KAGAY0XECAAAAADcITgAAAADgBptDAAAwCHzDHQD+nug4AQAAAIAbBCcAAAAAcIPgBAAAAABuEJwAAAAAwA2CEwAAAAC4QXACAAAAADcITgAAAADgBsEJAAAAANwgOAEAAACAG38BbWiEjRaoTO8AAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 1000x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 5))\n",
"sns.boxplot(x='Category', y='Price', data=df)\n",
"plt.title('Цены по категориям автомобилей')\n",
"plt.xlabel('Категория')\n",
"plt.ylabel('Цена')\n",
"plt.xticks(rotation=45)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"данная диаграмма была получина до устранения выбрасов."
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10, 5))\n",
"sns.boxplot(x='Category', y='Price', data=df)\n",
"plt.title('Цены по категориям автомобилей')\n",
"plt.xlabel('Категория')\n",
"plt.ylabel('Цена')\n",
"plt.xticks(rotation=45)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"После устранения выбрасов, диаграмма выглядит лучше, хотя здесь все равно присутствуют очень маленькие значения, что не соответсвуем реальным ценам на машины. Из этого можем сделать вывод, что цены в наборе данных не особо соответствуют реальности. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Разбиение набора данных на обучающую, контрольную и тестовую выборки"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Размер обучающей выборки: 13465\n",
"Размер контрольной выборки: 2886\n",
"Размер тестовой выборки: 2886\n"
]
}
],
"source": [
"# Загрузка данных\n",
"new1 = pd.read_csv(\"..//static//csv//car_price_prediction.csv\")\n",
"\n",
"# Разбиение на обучающую и временную выборки\n",
"train_data, temp_data = train_test_split(new1, test_size=0.3, random_state=42)\n",
"\n",
"# Разбиение временной выборки на контрольную и тестовую\n",
"val_data, test_data = train_test_split(temp_data, test_size=0.5, random_state=42)\n",
"\n",
"print(\"Размер обучающей выборки:\", len(train_data))\n",
"print(\"Размер контрольной выборки:\", len(val_data))\n",
"print(\"Размер тестовой выборки:\", len(test_data))"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Определяем целевую переменную и признаки\n",
"X = train_data.drop(columns=['Manufacturer']) # Признаки\n",
"y = train_data['Manufacturer'] # Целевая переменная\n",
"\n",
"# Функция для визуализации распределения\n",
"def plot_class_distribution(data, title):\n",
" data['Manufacturer'].value_counts().plot(kind='bar', title=title)\n",
" plt.xlabel('Manufacturer')\n",
" plt.ylabel('Count')\n",
" plt.show()\n",
"\n",
"# Визуализация распределения классов до оверсэмплинга\n",
"plot_class_distribution(train_data, 'Распределение классов в обучающей выборке (до оверсэмплинга)')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Выполним овер- и андер- слемпинг."
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Применение оверсэмплинга\n",
"ros = RandomOverSampler(random_state=42)\n",
"X_resampled, y_resampled = ros.fit_resample(X, y)\n",
"\n",
"# Создание нового DataFrame для оверсэмплинга\n",
"train_resampled_over = pd.DataFrame(X_resampled, columns=X.columns)\n",
"train_resampled_over['Manufacturer'] = y_resampled\n",
"\n",
"# Визуализация распределения классов после оверсэмплинга\n",
"plot_class_distribution(train_resampled_over, 'Распределение классов в обучающей выборке (после оверсэмплинга)')"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Применение андерсэмплинга\n",
"rus = RandomUnderSampler(random_state=42)\n",
"X_resampled, y_resampled = rus.fit_resample(X, y)\n",
"\n",
"# Создание нового DataFrame для андерсэмплинга\n",
"train_resampled_under = pd.DataFrame(X_resampled, columns=X.columns)\n",
"train_resampled_under['Manufacturer'] = y_resampled\n",
"\n",
"# Визуализация распределения классов после андерсэмплинга\n",
"plot_class_distribution(train_resampled_under, 'Распределение классов в обучающей выборке (после андерсэмплинга)')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "aimenv",
"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": "3.12.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}