From e42c9fe717d4a85422c932f1aae295d254a9ecb6 Mon Sep 17 00:00:00 2001 From: GokaPek Date: Fri, 22 Nov 2024 20:35:31 +0400 Subject: [PATCH] =?UTF-8?q?=D0=BF=D0=BE=D1=87=D1=82=D0=B8?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- lab_5/lab5.ipynb | 353 ++++++++++++++++++++++++++++++++++++++++++++++- 1 file changed, 352 insertions(+), 1 deletion(-) diff --git a/lab_5/lab5.ipynb b/lab_5/lab5.ipynb index 2eced18..433f9e1 100644 --- a/lab_5/lab5.ipynb +++ b/lab_5/lab5.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 45, "metadata": {}, "outputs": [ { @@ -55,6 +55,357 @@ "print(df.head())\n", "print(df.columns)" ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Предварительная обработка данных\n", + "Обработка пропущенных значений" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "object\n", + "Пропущенные значения после заполнения:\n", + "ID 0\n", + "Price 0\n", + "Levy 0\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" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Egor\\AppData\\Local\\Temp\\ipykernel_21864\\90121908.py:3: FutureWarning: A value is trying to be set on a copy of a DataFrame or Series through chained assignment using an inplace method.\n", + "The behavior will change in pandas 3.0. This inplace method will never work because the intermediate object on which we are setting values always behaves as a copy.\n", + "\n", + "For example, when doing 'df[col].method(value, inplace=True)', try using 'df.method({col: value}, inplace=True)' or df[col] = df[col].method(value) instead, to perform the operation inplace on the original object.\n", + "\n", + "\n", + " df['Levy'].fillna(df['Levy'].median(), inplace=True)\n", + "C:\\Users\\Egor\\AppData\\Local\\Temp\\ipykernel_21864\\90121908.py:21: FutureWarning: A value is trying to be set on a copy of a DataFrame or Series through chained assignment using an inplace method.\n", + "The behavior will change in pandas 3.0. This inplace method will never work because the intermediate object on which we are setting values always behaves as a copy.\n", + "\n", + "For example, when doing 'df[col].method(value, inplace=True)', try using 'df.method({col: value}, inplace=True)' or df[col] = df[col].method(value) instead, to perform the operation inplace on the original object.\n", + "\n", + "\n", + " df['Mileage'].fillna(df['Mileage'].median(), inplace=True)\n", + "C:\\Users\\Egor\\AppData\\Local\\Temp\\ipykernel_21864\\90121908.py:22: FutureWarning: A value is trying to be set on a copy of a DataFrame or Series through chained assignment using an inplace method.\n", + "The behavior will change in pandas 3.0. This inplace method will never work because the intermediate object on which we are setting values always behaves as a copy.\n", + "\n", + "For example, when doing 'df[col].method(value, inplace=True)', try using 'df.method({col: value}, inplace=True)' or df[col] = df[col].method(value) instead, to perform the operation inplace on the original object.\n", + "\n", + "\n", + " df['Engine volume'].fillna(df['Engine volume'].median(), inplace=True)\n", + "C:\\Users\\Egor\\AppData\\Local\\Temp\\ipykernel_21864\\90121908.py:24: FutureWarning: A value is trying to be set on a copy of a DataFrame or Series through chained assignment using an inplace method.\n", + "The behavior will change in pandas 3.0. This inplace method will never work because the intermediate object on which we are setting values always behaves as a copy.\n", + "\n", + "For example, when doing 'df[col].method(value, inplace=True)', try using 'df.method({col: value}, inplace=True)' or df[col] = df[col].method(value) instead, to perform the operation inplace on the original object.\n", + "\n", + "\n", + " df['Mileage'].fillna(df['Mileage'].mean(), inplace=True)\n" + ] + } + ], + "source": [ + "# Очистка столбца 'Levy' от нечисловых значений\n", + "df['Levy'] = pd.to_numeric(df['Levy'], errors='coerce')\n", + "df['Levy'].fillna(df['Levy'].median(), inplace=True)\n", + "\n", + "\n", + "# Очистка столбца 'Mileage' от нечисловых значений\n", + "df['Mileage'] = df['Mileage'].str.replace(' km', '').astype(float)\n", + "df['Mileage'] = pd.to_numeric(df['Mileage'], errors='coerce')\n", + "\n", + "# Проверка типа данных в столбце 'Engine volume'\n", + "print(df['Engine volume'].dtype)\n", + "\n", + "# Если столбец 'Engine volume' не является строковым, преобразуем его в строку\n", + "if df['Engine volume'].dtype != 'object':\n", + " df['Engine volume'] = df['Engine volume'].astype(str)\n", + "\n", + "# Очистка столбца 'Engine volume' от нечисловых значений\n", + "df['Engine volume'] = df['Engine volume'].str.replace(r'[^0-9.]', '', regex=True).astype(float)\n", + "\n", + "# Заполнение пропущенных значений\n", + "df['Mileage'].fillna(df['Mileage'].median(), inplace=True)\n", + "df['Engine volume'].fillna(df['Engine volume'].median(), inplace=True)\n", + "\n", + "df['Mileage'].fillna(df['Mileage'].mean(), inplace=True)\n", + "\n", + "# Проверка на наличие NaN после заполнения\n", + "print(\"Пропущенные значения после заполнения:\")\n", + "print(df.isnull().sum())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Кодирование категориальных переменных" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.calibration import LabelEncoder\n", + "\n", + "le = LabelEncoder()\n", + "categorical_cols = ['Manufacturer', 'Model', 'Category', 'Leather interior',\n", + " 'Fuel type', 'Gear box type', 'Drive wheels', 'Doors',\n", + " 'Wheel', 'Color']\n", + "for col in categorical_cols:\n", + " df[col] = le.fit_transform(df[col].astype(str))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Масштабирование признаков\n", + "#### Понижение размерности - PCA\n", + "#### Визуализация PCA\n", + "\n", + "Данные распределены вдоль оси X (Главный компонент 1) с некоторым разбросом вдоль оси Y (Главный компонент 2).\n", + "\n", + "Большая часть дисперсии в данных объясняется первой главной компонентой.\n", + "\n", + "Возможно, данные содержат несколько кластеров, которые можно идентифицировать с помощью кластерного анализа." + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from pyexpat import features\n", + "from sklearn.decomposition import PCA\n", + "\n", + "features = df.drop(['ID', 'Price'], axis=1)\n", + "\n", + "# Масштабирование признаков\n", + "scaler = StandardScaler()\n", + "X_scaled = scaler.fit_transform(features)\n", + "\n", + "# Проверка на наличие NaN после масштабирования\n", + "if np.isnan(X_scaled).any():\n", + " raise ValueError(\"В масштабированных данных все еще присутствуют NaN.\")\n", + "\n", + "# Понижение размерности - PCA\n", + "pca = PCA(n_components=2)\n", + "X_pca = pca.fit_transform(X_scaled)\n", + "\n", + "# Визуализация PCA\n", + "plt.scatter(X_pca[:, 0], X_pca[:, 1])\n", + "plt.xlabel('Главный компонент 1')\n", + "plt.ylabel('Главный компонент 2')\n", + "plt.title('Визуализация данных после PCA')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Выбор количества кластеров\n", + "\n", + "#### График локтя" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "from sklearn.cluster import KMeans\n", + "from sklearn.metrics import silhouette_score\n", + "\n", + "\n", + "inertia = []\n", + "silhouette = []\n", + "for k in range(2, 11):\n", + " kmeans = KMeans(n_clusters=k, random_state=42)\n", + " kmeans.fit(X_scaled)\n", + " inertia.append(kmeans.inertia_)\n", + " silhouette.append(silhouette_score(X_scaled, kmeans.labels_))\n", + "\n", + "plt.plot(range(2, 11), inertia, marker='o')\n", + "plt.xlabel('Количество кластеров (k)')\n", + "plt.ylabel('Инерция')\n", + "plt.title('Метод локтя для оптимального k')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### График силуэта" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "plt.plot(range(2, 11), silhouette, marker='o')\n", + "plt.xlabel('Количество кластеров (k)')\n", + "plt.ylabel('Коэффициент силуэта')\n", + "plt.title('Коэффициент силуэта для оптимального k')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Предположим, что оптимальное k равно 3 на основе графиков\n", + "\n", + "#### Иерархическая кластеризация\n", + "\n", + "\n", + "#### K-Means кластеризация\n", + "\n", + "#### Оценка качества кластеризации" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Коэффициент силуэта (Agg): 0.13306117230156736\n", + "Индекс Дэвиса-Болдина (Agg): 2.5089898754817166\n", + "Коэффициент силуэта (KMeans): 0.17159548190302554\n", + "Индекс Дэвиса-Болдина (KMeans): 2.23429912220393\n" + ] + } + ], + "source": [ + "\n", + "from sklearn.cluster import AgglomerativeClustering\n", + "from sklearn.metrics import davies_bouldin_score\n", + "\n", + "\n", + "agg_clustering = AgglomerativeClustering(n_clusters=3, linkage='ward')\n", + "labels_agg = agg_clustering.fit_predict(X_scaled)\n", + "\n", + "kmeans = KMeans(n_clusters=3, random_state=42)\n", + "labels_kmeans = kmeans.fit_predict(X_scaled)\n", + "\n", + "\n", + "silhouette_agg = silhouette_score(X_scaled, labels_agg)\n", + "davies_bouldin_agg = davies_bouldin_score(X_scaled, labels_agg)\n", + "\n", + "silhouette_kmeans = silhouette_score(X_scaled, labels_kmeans)\n", + "davies_bouldin_kmeans = davies_bouldin_score(X_scaled, labels_kmeans)\n", + "\n", + "print(f\"Коэффициент силуэта (Agg): {silhouette_agg}\")\n", + "print(f\"Индекс Дэвиса-Болдина (Agg): {davies_bouldin_agg}\")\n", + "print(f\"Коэффициент силуэта (KMeans): {silhouette_kmeans}\")\n", + "print(f\"Индекс Дэвиса-Болдина (KMeans): {davies_bouldin_kmeans}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Визуализация кластеров" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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NBoPb6xVN+B566CEuu+wyFixYwM8//8xzzz3HxIkTWbFiRYmxPGlpaX6NdVKql0p8lFrDbrcDuAaXFpJSMn78eEaOHOl1Cq6maQwZMgSAyy+/nJSUFJ5//vliic/111/PI488wsyZM8nNzcVkMnHddde59qemprJ8+XImTJjA888/79q+e/dut/cs7H4o/Ku8NK+88gqhoaE8+OCDXo/r3r074Jz2HxcXx5gxY3jmmWdo27Ytc+bMoXnz5sybN6/YX6HeHnj++Pjjjzl16hQvvviix2OaNm3KtGnT6NixI7fccgsjRoxg6tSpfPPNNz7do379+ixevJj4+HgWLlzIo48+yvDhw0skDNu3b0cI4bYlpNDcuXMJCAjg559/LtYlNnny5GLHtWjRAl3X2b59e7kHgLdo0YJly5bRp0+fYt1snuzZs6dEq8F///0H4BpI26RJE3bt2lXi3J07d7r2F9WtWzfX7LiLL76Yo0eP8sYbb/Dcc8957Apu06YNAPv37/ca7xtvvEFKSgpffPEFkZGRvP3224wZM6ZYN5y31z169Ghuu+02IiIiGD58uNtjYmNjCQ0NxeFwuH5uPams7/kWLVrw6KOP8uijj7J79246d+7M22+/7fojA5ytk3l5eT7/jCvVT3V1KbVCfn4+v/zyC2azucQvmG+//ZYtW7YwceJEv66ZlJSEzWYrti0mJoaLL76YadOmMX36dIYNG1bsL7nCvxTP7Ap477333N7j22+/xWw2F3sgeHLgwAE++eQTXnzxRZ8elkVfB+B6Le5iXL9+vdfWMF9lZmby6quv8vDDD3ttZbHb7dxwww20b9+ed999lyFDhtC8eXOf73POOecQHx8POFu3dF0vkQza7Xbmzp1Ljx49vHZ1GQwGhBDFumUOHDjAggULih03YsQINE3jpZdeKtFy56nrx5Nrr70Wh8PByy+/XGKf3W53ddEVOnbsWLGZaBkZGUydOpXOnTu73ufhw4fz559/Fvs6Zmdn89lnn9G0adNSu+hyc3Ox2+2uPyDcadiwIQkJCfz111+lvsZPP/2Uq6++mnfeeYdXXnmF5s2bu7qnhwwZQp8+fTyee/XVV/PCCy/w8ccfu8bmnMlgMHDVVVcxd+5ctm7dWmJ/0a60iv6ez8nJwWq1FtvWokULQkNDS/zO+PvvvwHo3bt3me6lVD3V4qPUSD/99JPrL9lTp04xY8YMdu/ezfjx40sMqvzll1+4/fbbvf7Vf9VVV9GyZUtatGhBXl4eS5YsYdGiRdx3330ljh0zZgxXX301QIkHV1hYmKu/Pz8/n4YNG/LLL7+U+At59+7dvPDCC8ycOdNtzO6sXr2atm3busYvuPPSSy9x9OhROnTogMViYePGjUyePJlOnTq5mv0vvfRS5s2bx8iRI7nkkkvYv38///vf/2jXrl2J1jJwrg20ZMmSYtuysrLQNI0lS5YwbNgw1/aNGzcSExNTan2iCRMm8O+///LPP/8Um7ZdFvXq1ePNN9/ktttu48Ybb2T48OEsW7aM5557ji1btrim8XtyySWX8M477zBs2DBGjx7NqVOn+Oijj2jZsiVbtmxxHdeyZUueeeYZXn75Zfr27cuVV16JxWJhw4YNNGjQwK/Eun///tx5551MnDiRTZs2cdFFF2Eymdi9ezezZ8/m/fffd32PgTPRu/XWW9mwYQPx8fF89dVXnDx5slir1Pjx45k5cyYXX3wxDzzwAFFRUXz99dfs37+fuXPnlmjFWbp0KUeOHHF1dU2fPp3LL7/cY6JR6IorrmD+/PmljlvRNI3p06eTnp7Oc889R1RUFPfcc49P7094eLjXFsNCr7/+OitXrqRnz57cfvvttGvXjpSUFDZu3MiyZctc61f5+z1fmv/++4/Bgwdz7bXX0q5dO4xGI/Pnz+fkyZNcf/31xY5dunQpjRs3VlPZa5NqmUumKB64m84eEBAgO3fuLD/55JNi04oLp6YGBgbKo0ePFrvOmdPDX3zxRdm6dWsZGBgow8LCZOfOneX7778v8/PzS8Rgs9lkZGSkDA8Pl7m5uSX2HzlyRI4cOVJGRETI8PBwec0118hjx45JwDXtfebMmbJDhw7y/fffLzEV2tN0dkDOnz+/2LE333xzsensc+bMkd27d5dhYWEyMDBQtmzZUj766KPFpojrui5fe+012aRJE2mxWGSXLl3kjz/+WOJahe9faR+F+vfvLwH57rvvFovxzOnja9eulQaDQX766aduj/NnOntRgwYNko0bN5aZmZny/vvvl/369ZNLliwpcZy76exffvmlbNWqlbRYLLJNmzZy8uTJbo+TUsqvvvpKdunSRVosFhkZGSn79+8vly5dWuI4b9PZC3322WeyW7duMjAwUIaGhsqOHTvKJ554Qh47dsx1TJMmTeQll1wif/75Z9mpUydXjEWndRfau3evvPrqq2VERIQMCAiQPXr0kD/++KPbuAo/jEajbNKkiXzggQdkamqqx1gLbdy4scS0eSmLT0kvKisrS/bq1UtqmlZi+n5p57qL+8zXffLkSXnvvffKhIQEaTKZZL169eTgwYPlZ5995jrG3+95d9PUi/78JiUlyXvvvVe2adNGBgcHy/DwcNmzZ0/53XffFTvH4XDI+vXry2effdbra1NqFiGlWmdbUYqy2+00aNCAyy67jC+//LK6w6k2q1atYuDAgWop/krWtGlTOnToUKPq0A0ePJgGDRr4PCbrbLVgwQJGjx7N3r17qV+/fnWHo/hIjfFRlDMsWLCAxMRExowZU92hKEq1eO2115g1a1aJKfJKcW+88Qb33XefSnpqGTXGR1EKrF+/ni1btvDyyy/TpUsX+vfvX90hVauoqCiGDh1a3WEo1aBnz54e18tSTquICQNK1VMtPopS4JNPPuHuu+8mLi6OqVOnVnc41a5Tp04lBj0riqLUdmqMj6IoiqIoZw3V4qMoiqIoyllDJT6KoiiKopw11ODmM+i6zrFjxwgNDVVF5xRFURSllpBSkpmZSYMGDTyWZQGV+JRw7NgxEhISqjsMRVEURVHK4PDhwzRq1MjjfpX4nCE0NBRwvnG+lBlQFEVRFKX6ZWRkkJCQ4HqOe6ISnzMUdm+FhYWpxEdRFEVRapnShqmowc2KoiiKopw1VOKjKIqiKMpZQyU+iqIoiqKcNVTioyiKoijKWUMlPoqiKIqinDVU4qMoiqIoyllDJT6KoiiKopw1VOKjKIqiKMpZQyU+iqIoiqKcNdTKzcpZLd/hYP7O7Uz7dzMH0lIJNZu5vHVbbj63C/VCvC97riiKotQ+QkopqzuImiQjI4Pw8HDS09NVyYo6zma3c9sP8/nt8CE0BDrOHwWDEASbzcy88lraxsZVc5SKoiiKL3x9fquuLuWs9dGG9aw7chjAlfQAOKQkOy+PO35ciEPXqys8RVEUpRKori7lrJTncPDNln/QPTR4OqTkaGYGaw4dYGDT5l6vlWmzsWDXDn7Zu5vcfDvt4+IY3fFcWkfHVEboiqIoSjmoxEc5Kx1KTyPdZvN6jFHT+Of4ca+Jz+7kZG6Y/x3JOTkASGDzyeN8s2UTT/Tuy13n9ajIsBVFUZRyUl1dyllJE6LUY6SUGDTPx+U5HNy8YA6publIcHWWOQpakSb9vpZl+/ZUQLSKoihKRVGJj3JWahoRSf1SZm05pKRPQhOP+3/eu5sT2VmuROdMmhB8+veGcsWpKIqiVCyV+ChnJU0I7uh2nsf9BiHoGBdPt/oNPB6z9tABDF5ajnQp+fv4MWx2e7liVRRFUSqOSnyUs1bn+Po0DY8otq0wjUkID+fTS69AeEtsdN9WgvDUIqQoiqJUPZX4KGeluTu2ceV3MzickV5suwQGN2vB4tFjSl3AsHO9+h5nhYEziWoZGUWQyVQBESuKoigVQSU+ylnnYFoaTy77GYn71pjl+/ey4djRUq9zReu2BJlMeGoTksC4Lt3KFauiKIpSsVTio5x1Zmzd7DFZAef4nimbNpZ6nVCLhY8vuRyTwVBsrE/hjLGRrdtyXfuO5Q1XURRFqUBqHR/lrPP3sWNex904CgYl+6Jv46YsHj2GKZs28tOe3dgcdtrGxDKmUxcubnWOT9PmFUVRlKqjEh+lTOy6zh9HDpOUk0O9kBC6N2iIQasdDYje1uYpZBS+v5bmkVG8NHAILw0cUp6wFEVRlCqgEh/Fb9/v2sGra1eRWLBaMUC9kBBe7D+Ii1q0qr7AfLAnJdk1LsdTm49BCAY0bVaVYSmKoihVRCU+il8W7trBwz8vLrH9ZFYWdy/6nhFt2pKUk4MEejZM4Nr2HYgNCq76QM+QYbPx8M+LWHlgv9ekh4J94zp3rZD7Hs3MYPm+vVjtdlpHx3BB4ya1pmVMURSlLhJSqkVGivK1rP3ZKN/hoPdXn5Gcm1P6wTgH+Zo0A/+75HL6F2lBceg6qw8eYN2RQ0gJ3Ro0YEizFpgMhkqJW5eS6+Z8y6YTx72O7dGEQABvXTiMK9q0K9c9rfZ8nlmxjAU7t7uu7ZCSBqGhvDf0Es5r0LBc11cURVGK8/X5rRKfM6jEx7PVB/Yz7vt5fp0jAJPBwNIbx5EQHs6+1BRu+X4eh9LTMRa0fNh1nXrBIXx+2Qjax8VXeNxrDh5g7MK5Xo8xFCQmAA1CQxnXuRs3n9vFFaO/7vxxIcv37y2xzk9hMrjg+htU9XZFUZQK5OvzW7W5Kz5LzMn2+xyJs4Vn2r+byLDZGD33O45mZADOhMeu6wCcysnmhvmz2XLyBCv27eW27+fT/uP/o/3H7zN2wVzWHjxQ5rh/+G9nqd/oRVuCjmVm8uraVdz30w84CuLzx5aTJ1i6b4/bxQ11KbHrDj7esN7v6yqKoijlpxIfxWdxwSFlOs8hJcv37WXujm0k5mS77W7SpSTDZmPErOnc9uMCVhzYR649n1y7nd8OH+TmhXP5aMMfZbp/utWK/+kL/LJ3D19v+sfv877ftdNrDS+HlCzevYs8h6MMUSmKoijloRKfOsRmt/NfchL701K9llIoq94JjYkNCirTufm6zqL/dnkdVOxJYaL09rrf+OvYEXQpOZ6ZydHMDK8tMok52exNSSY2uOyDq1//fQ1JOb6NaSqUbrOWeoxDSnLy88oalqIoilJGalZXHZCbn8/7639nxtYtZOU5H6YNQ8O467wejO7QyWuhTX8YNY3n+w3i/iU/+nWeQQi61W/A9sRT5Y7hzh8XEmw2c6SguywuOJhbOnfj1i7dXLOl/jx6hHf/+I31R48A5cvu7brO5E1/83jvvj6f0zC09LFhIWYzoWZLOSJTFEVRykK1+NRyNrudmxbM4Yt//nYlPeCcRv3cymVM/HV1hd7vknNa8+HFl1IvxPduL4eUjDm3C+dEx5R7JeNUq9WV9ACcys7mjd/W8OCSRehSsmDnDkbNneVKeoAydXMVNePfzX4df027Dl5b3AxCcG27jmpau6IoSjVQs7rOUNtmdX29eSMvrV7ptQvpx1E30S42rkLv69B1/jp2lMScbOJDQvjn+DFe/21tsdlRhf9+ondf7jqvB+uPHGbUvO8qNI6ibux4LtP8TFJ81Sw8grGduxIdFMTcHdvYkZRIoNHEJa1aM7pjpxKV3N9f/zvvr19X4joGIagXEsqC624guozdhoqiKEpJajp7GdW2xOfCbyazLzXF6yrEozp0qpJyCr8fPsSX//zNH0cOA5KeDRO4pUs3LmjcBAApJWMXzmXtoYOVHktV0YQgyGTimxFXc269+q7tUkq+3fYvH/y5jhNZWYDza3Fxy3N4rt/Aco07UhRFUUpSiU8Z1bbEp/WH75JfypTr3gmNmTbymiqKyLsMq5XzPv8Yex36ttOEICIggN/G3YHFWHzYnEPX2ZmUiNVhp2l4pGrlURRFqSRqHZ+zRLDZ7HW/JgThlpoziDYsIIC7u/es7jAqlC4lKbm5/LTnvxL7DJpG+7h4utVvqJIeRVGUGqBOJT4TJ06ke/fuhIaGEhcXx4gRI9i1a1d1h1Wprmjd1uuaMbqUXNKqTRVG5JTncLD6wH4W7trB38ePUrRh8cGevbmtS7cqj6kyGYTgzyIDqv2hS8naQwd4ctnP3LVoIa+tXcWelOSKDVBRFEUB6th09tWrV3PvvffSvXt37HY7Tz/9NBdddBHbt28nuI6Oqbilczdmb9+K1W4vMZPIIAQto6K5sHmLKo1p+r+beXvdr6RZT69n0zQiglcHXsj5CY3RhODpvgNwSMmUTRvLtLZPTeOQku2Jp5izfSvDWp5DSCktcYUybTZu/2EBfx47gkEIdCnRhOCLf/7mzm7deaJ33wpbjkBRFEWp42N8EhMTiYuLY/Xq1fTr18+nc2rbGB+AzSdPcPeihZzIysKoaUgpcUjJefUb8PElVxBThV0sX2/eyITVK0tsFzi7faZfeQ3dGzQCnBXdB039EqvdgawD6U9h1fcAo5Hxffox5twupZ5z+w8LWHVgn8fiqRMGDOamTp0rNE5FUZS6yNfnd51q8TlTeno6AFFRUdUcSeU6N74ea8fezqoD+9ly6gRGTaNfk2acG1+vSuPIystj0m9r3e6TOLt0Jv66hnnXjgYgPiSELy4bye0/LiA3317rk5/C6K12Oy+uXkGgycQ17Tp4PH5vSjLL9+/1es1P/lrP6A6d1Jo/iqIoFaTOJj66rvPQQw/Rp08fOnTw/PCx2WzYbDbX5xlFFserTQyaxuDmLRhcxd1aRS3du4dcu93jfl1KNp04zoG0VJpGRAJwfkJj1oy9jdnbt/Lb4UPsS0nmWMH079rupdUr6RgXT5uYWLf7Vx7Yj1bQveXJiawsdqckF7uGnp8PGbdD/h84l2c0gOVytMg3So1J6jlgXYJ07EOIYAgYhjA28/elKYqi1Fp1NvG599572bp1K7/++qvX4yZOnMiECROqKKq6LTEnu9gChp78fuggTyxdwtbEU+hS0iQ8god79ebObj3ItNk499MPqyjiypWdn8fwGVPpEBtHz0YJxAWH0KNhI1dLXJ7DgS+jd2xFipnq+fsgedgZRzjANh/9xAKI/gfN5L5rU+YuRmY8DTIHMDpb2LLeRQZcggifiBABZXqdiqIotUmdHONz3333sXDhQtasWUOzZt7/mnXX4pOQkFCrxvjUFAt2bueRX34q8/mXtGrNBxdfypWzZrDp5PEKjKxmaRkZxVdXXMnWU6e4Z/H3Xo81Gwz8edvdhBUsSaCfaA1euwQtaPX+LbFV2n5Hpo4r/OyMvRoEDEOLeM/Xl6AoilLjnJVjfKSU3H///cyfP59Vq1aVmvQAWCwWLDVonZvaJjsvj4W7drB8/15y8vIxahp2DwsqFg7+9WTR7l3sTUlmZ3JSpcRaU+xJTaH/lC8wljJbyyAEV7ZpdzrpyZqB93cQpLRxz/z3GdJmCJe3bouxYGyQzPoA51fA3ddGB+tipP1+hLH6ukoVRVGqQp1KfO69915mzJjBwoULCQ0N5cSJEwCEh4cTGBhYzdHVPf8lJ3Hj/Nkk5eS4khpPj3KN0h7ZTnU96SkkgfxSGltDzRYuPafIGkzZH5R6XSHgphZzuWGpne937eSzy0ZgIhXy/y7lTANYl0DIvaUHryiKUovVqakin3zyCenp6QwYMID69eu7PmbNmlXdodU5NrudmxfMITU3Fzid1Hh6lDeLjHK1Pii+ycizceP82dy9aCE2ux3wPHC8qCBDPgBrDx3gow1/gMz04SwNqdeNQeWKoije1KknkZTS7cfYsWOrO7Q6Z9HuXZzMzvY4kFmDYl05+1JTSq0pphRXONtr6b69PL9qORhLXxdISph7oLXz38A3WzaRTwxQ2oKKdoSxSfkCVhRFqQXqVOKjVJ3VBw+geSuVAcUKkda5EfRVSJeSuTu2cULzPl298O2etreja1ua1cqhjDwIHAEYvJxtgYBLyx2roihKTacSH6VMHLpOHZwQWGPpUrLm6GGwXO12f+GX4oW/epfYpwmBCHkItHhKJj8aIBDhLyG0kIoMWVEUpUZSiY9SJp3i6+F5KLNSGV5YtZyW30TzxPoh5Ds0V7IjJeTrgvt+H8SM/R2LnRMfHEKT8AiEIQYRPRsCRlKs28vYARH5GSJwRJW9DkVRlOpUJ9fxKY/aWKurOqTk5tD7q8/IdzhUN1Y10XDQMNDKkdxgj1+DZ/sO4JYu3Yptk3oW6CdAhCAMVVvWRFEUpbKclev4nK3s+XbWff8XO/74D82g0fXCc+kyqEOlVvWOCgzi/4Zdwr2LfwAodbVmpeLpGDicG1xie+Hq2de178jYzl1L7BdaCGgtqyJERVGUGke1+JyhNrX4ZGfkMPO1eSz4cAm2HBuaQUMIgcPuoGmHBF754Snim7ivE1VR1h7cz/0/LSIjz1b6wUqlETjrtbWMjOKcmBhGdziX7g0aVmryqyiKUpOoFp86bu289bx+4/+RZ81zbdMdp6eLH955lMcGvcjn/75DQFDlrEydmJ3FHT8uLFZLSqkeErDrOqM7nsuNnTpXdziKoig1lhrcXAttX7eLV657p1jScyaHXefE/lOs+va3Sovj0V+WqKSnBhHAr4cPVncYiqIoNZpKfGqhma/P92lClRCCVd/9Xmlx/H7kUKVdW/GfxLnMgKIoiuKZ6uqqZfLz8lm/aCNSL31olpSS7PRssvLyMGkaFqPzy31k93F++mI5R3cfIzA0kH5Xn0+P4V0wGLwtcFdcnt3uWlnYF/FBwbSMjmbd4UNuy2Qq5acJQed6Dao7DEVRlBpNJT61TL7N7lPSAyAMGluNOXT63wcIoF+TprT5PYNlby5GM2joDh3NoLHsmzW06NyUiUueJTIu3Kdr+1t362RONidzsv06R/GdAAxC49r2Hao7FEVRlBpNdXXVMoEhAUTVj/TpWOnQOdHdeawE/pn3F8veXAycHghd+P/9Ww8x4co3fV6NWdM0moVH+Be8UmEEkt5xh7mu+Q4uaniAAIOD/7v4EmKDSk5vVxRFUU5TLT61jBCCy+8ZytcvzCq15Setfz1sTUOdn0hJ+C9HkbgfHqTbdbb9voudf+6hbc9WPsXyfP9BjPt+nn8vQCm3wQ3283K3tcQF5rq2OQjBGJYA+Pa1kzIXrL8g7QcQWigEDEMYVDeZoih1n2rxqYWuevhS2vRoiaa5H+Gsh5o4dV0zkkecrrZtSMvDfDLX65hog1Hjjx/+8jmO/k2bEWapnKnyinsD6x/kkz6/EBOQW2y7gSxkxgvomW+V2moncxchT/VBpj8O2Z8iMychEweipz+DlJ5nCiqKotQFKvGphQKCLExa9gKjn7mK8JhQ1/ZzzmvOA1/exf6XupJ5fjwUWbxOOErvwhJCkG/L9yuWGzt29lqlXalIkqc7rwPAQ84L2Z8hT56PzPsTKfOQjmR021/oaY+jp4xDTxmHTH8EZOF4KzugAxJy5yAzJlTB61AURak+qqurlgoIsnDzhOu48bmrSU/KwBxgJiQiGJvdjvh4U4naTfYIM44AAwar53V37PkOWnVr4VccN5/bhW+3bSHdalVlK6pAdr7Jc9LjkoJMuREwAf4ksgXJT/DdCGOjMseoKIpSk6kWn1rOYDQQVS+SkAjnoFaL0Ujfxk0xnNkKY9TI6BOP9PDQ1DRBaFQIMY2i+OuXzRzbe8Kn+8cGB/Pd1dfTMiq6PC9D8dEj6wf6cbR/rXdOAmw/l+G8qiVlPtK6HJk9GZkzD6mnVXdIiqLUEqrFpw66p3tP1h46UGJ76tCGBO7NIOBgFkWbhAxGDYTAYDTwSL/nXds79W/HfR/cSrMOjb3er3lkFItHj+Hv48f49t/NzNu1o6JeilKMYF9mFN/ta821zXdV0j00pJ7hy/qY1UZaVyAzngE9GeffbjpkmJDBtyJCHkII9fecoiieqd8QdVCPho14+6LhmDQNgcAgBEYhkGYDQc/1ZfQr11GvaRwA5kAzrc9rgSPfQdqp9GLX2frrTh7s/QwHtx8u9Z5CCM5r0JCG4b6tA6SU3Ufbu1F5vYp2hKFJ6YdVE2lbh0y7B/SUgi2Fy2HmQ/b/kFlvV1doiqLUEqo6+xlqU3X20iTn5DBv5zZ2JiURYDQypHkL+jVuiqFg8UFd18nNsnJd/dux5bqfzaMZNHpc3IWXvx9f6v1OZmUxaOqX5NrtFfo6lDNJFg+dzTnhqRV/aRGEiP0doQVV/LUrgJ50Ndi3gsf1vw2I2F8RBtX1qihnG1WdXSE6KIjbu3b3uF/TNNbO+QObl2KnukNn/aKNpJ5MIzI+wuv9Jm/6G1tlJD2FuflZPHvMKBxc13wnN7XaSvPQNKQU7E4Lp2V4eoW+LSJsAkILQurpIPNBi6oxXUfSfhjsW0o5SgfbEgi6oUpiUhSl9lGJz1nu1KEkDEYDjnzPs72klCQdTSk18Zm3Y7t/dbiKNjae8fQWNjsRPx/FfDKXk2PPAVPNePhWB5Pm4NMLlnBB/BGgYCq7kLQMT/d+or+0aBBBBa0qBQmGFgNBN0HwrQhhrtj7+Uum+XCQAfRKaAlTFKXOUInPWS4sJtRVtsKbPGs+a+etx2DU6Ni3LaGRISWOSbdZfb9xvg5G4b4VR0qkyUDI5mTMyXmkJFvJr1czu16qwq3nbOaC+CMlprFXeAOYnoJMu/eMbUnIrPcg7w+I/Lx6kx+tHs51x731ztvB0LCKAlIUpTZSY3zOUJfG+Pgi9WQaoxLuxGF3n/wITRASHkRmWrbreWMyGxl6y0DuemcsloDTD8KBX3/JwfS0Uu9pSLNhyLaTVz/I80p8usR4KhfNLnEEGdHydSyHskAT5J4ThiO0mlsfqkjDoAyWD/8Wo1YDfkxDnobA6yD7/8BxAkzdEOZzIH87CDOY+yKMCZUagp56J9jWAB5aKEUgInZdjR2jpChK5fH1+a0SnzOcbYkPwJdPz+Db1+eX2C6EQEqJMAikh5WfA0ICOP/y87jqwUtYY0jl9V/XlPh73JCZT8hfSRhTbOjBRoK3pHDk0Y5gKL3JwpBiJW7GPoL2ZLi2SQ0yz4sl8ZqmYDL481JrCWdFNYFkybBZtAir4C6tMvPU2lLk62gZhgh/DaFVTrFUad+DTL4WZC7Fkx9nbCLsNUTQ1ZVyb0VRajY1uFnxSXpSBv/9vdftPkuQGWuOzWPSA2DNsrJy5q+snPkr93xyG+dEx7A7ORm94AEZvvIY0T8cdo7nEYDu/J8xxUrw9jS0HDv26ACyzo1CWoonMVp2Pg3/bzvGjOKDr4UOoRsSyasfSPrAulhY05lIXBB/pAYlPeC5i6nIdtvPyLQ0iJyCqITB6MLYEqK/Q2a8Anm/n95haIwIfQQRcHGF31NRlLpFJT5nsfy8fJ686GX2/3uoxD6hCecUd1/aAwuO+fjuLwiMDyW4fyyZ3WMI/TuJmIWHShwH0PjVzc7nuxCgS2Lm7CfpqqZk9oxzHRO+9iTG9DyEmxiEBGNKXS2o6WzxuaDeEfJ1DZPm15DxaqZD3jpkxotg7g4BgxEisELvIIwtEVFTkI6jYD8CWigY21ZKoqUoSt2jEp+zRH5ePr/N/5PfFvxJbpaVpu0TiG4Qyd5NB9weL/Uy9IBKyD2RSdysTGLm7kPohY/wkkTB8a6ZXXk6cTP3oQcaye4UBUDoH6fcJj2ua+R5nolWWwkksuAdM4jalPCcIXcmMncmZARB6JOIoFEASJkL0gEiuNyJijA0VAOZFUXxm0p8zgKnDifxxJCXOLr7OJpBQ3fobFiyCd2hIwSVsgqw5udyPoWjR6IWHSK7Y6SzhEaW91pThty6lfj0jD3K+sTTD/ItKXGM1bZWY0QVQOYgM15A5u+C/K2np8kbmkHwOAi8tsasE6QoytlB/cap43Rd5+nhr3Fi/0nn5wVT1wv/X5OGtgvAfNKK6WQuAI4ws9eetsA96eDDVPza4q62/xBkPJ3sLTnSjBRbQN14ibkzClZcLuA4gMx4Hpk+HjW/QlGUqqQSnzrur583c3DbYY/T1WsiraAlJ+P8OPf9ZAUMOQ6MyTbP2ZuUtaY7zCB0+sQf5ZpmO11dXHm6kbt/uwibbsSun34jam+eUPR7sOBFWBeA7ZfqCEZRlLOUSnzquD8Xb8RQi6Z8SwH2KAsAGX3iyY+2IN2tcQhYGwcTveAAoX+ccm506AUfzodq2K8niZm5r4oi91+w0UafuMPEB2RhEDqagLvb/kNsQI4r+fk7qT6X/nw10/e2I9kagEPWtcodGjJ7WnUHoSjKWUSN8anj7Hl232Zm1QBSg5w2ETjCzSAlepCR9AviiV1wqNgg6cJ/BxzKBiBkezoRq06Q2T0GR5gZQ1oeoX8lYj5lRQpIGdHEec0aQ9IwKJNfLp6FxaAz+b+OvLbpfHanR9IiLJU5g+fzyqbe/HK0GbrUOJQdzqc7utAsJJ1+9Y9Ud/AVTAf7zuoOQlGUs4hKfOq4ll2b4/himddjAkMD0DSN7PScKoqqJClAtxjI6hRJ/Ff/YUrMhXyJOclaYmaYuwYP88lcon88XGK7kBCwP5PszjWpWrcgxJQPCOYfaMXOtCg0oTNldwde6baWekE5fNh7GUnWQPZlRhBoyKdtRHLNWL25MgiLc6HMutWUpShKDaVWbj5DXVu5OSczl+sb3oE12+Z2EKnQBLe8OporHxzO3s0H2f/vQd6949Mqj1M3gCPUhCkt35Xo6MKZuHh6HHqaKn+mE+NakX1uzUl8DEKnb73DbE6OIzUvEKNwIBHoUvB2z+Vc3mSvc73Hghcn61z3lhsiCAKvQgTfjjDUq+5oFEWphXx9ftfJMT4fffQRTZs2JSAggJ49e/Lnn39Wd0jVJig0kGdnPYLBqGEwnv5yC+EsSdF1SCeuevgSzAFm2vZsxcW3DqZ5pyZohqr91tAcYExzzmgqfMZ7S3oKlZa1SwHWpiULqlYnh9RYd6oB6XnOsUx2acAhNSSCx9cP5Pm/++AoMrCpzic9ADIHcmYgk0cg7QerOxpFUeqwOpf4zJo1i0ceeYQXXniBjRs3cu655zJ06FBOnTpV3aFVmx4Xd+GjDW8wcNQFWIIsaJogoW0j7v/wVl75YTwms8l1rBCCJ76+j4BgS7FEqSr4+3wXpZwjgeyOkTjCatL4HmgVloxdN6C7+fFzYGDG3vZ8s6dDNURW3RygpyPTn6zuQBRFqcPqXFdXz5496d69Ox9++CHgXMcmISGB+++/n/Hjx5d6fl3r6nLHl/EUR3YfZ8arc1k581fs+Q4MJgOO/Jo9Nbyw66vw/45AAwdf6IIMOD2UTcvKx3IkGzSBtUlIifpgVRup5/1do07w3ZDvqyqgGkfELHbW5VIURfHRWVmkNC8vj7///punnnrKtU3TNIYMGcK6devcnmOz2bDZbK7PMzIy3B5Xl/gyiLRRq/o8MeU+Hvr0TnIyckg+lspdXR6vgujKr/DVJV7VDGl2JjZajp2YeQcI2ZhEYSUI3ayRfkE8KZckQAV37TUIyiTYmMfujChKJjmlvf+Cg9nhFRpPrZO/E1TioyhKJahTXV1JSUk4HA7i4+OLbY+Pj+fEiRNuz5k4cSLh4eGuj4SEhKoItdYwW0xExIbT4tymdBnSEWGo2QNOijZf6sEG0ATC5qDBB9uKJT0AWp5OxMrjxH+9u8JWBewcdZKZAxey5tIZNAnJwOCt2JgX6XkWrPbas/5ShRPFuyelfQ967gp0299IWbNbHhVFqdnqVOJTFk899RTp6emuj8OHS06JVpwGj+6LdNTcntHClCwvLgBwlr/AoRO27hTmE7m4q/kpJIRsSSVwd/lb+nrEHmPmoO/pGn2SzDwzy481xSHL9iNmlwb+TY0td0y1kxnM5wMg8/9FPzUUmTQc0u+C1FHIk53QM15SpS4URSmTOtXVFRMTg8Fg4OTJk8W2nzx5knr13E+RtVgsWCyWqgivVstIzuT9uz9HCFGjHzgCyOwZhzQIQtedIn1AfcLWnfQ6/UtqzkrwueeUp3tJ8tp5q9GEjkFAWp7FVWW9rOxlTJpqNwFBNyG0UGT+NmTytcCZLTz5kDMNmb8Hor5W6/8oiuKXOvWb1Ww2061bN5YvX+7apus6y5cv5/zzz6/GyGq/n6eswp5vr9FJDzjzm8CdaaQPqE9um3AifzqMMTXPawoidDCl2Ipvy/GvvHyE2coVS6/i3Hm3MmrFZfx0uBkaZa+PZhQO2oQnl/n8Wst0PiL0UQBkxguUTHqKyP8Daf25auJSFKXOqFMtPgCPPPIIN998M+eddx49evTgvffeIzs7m3HjxlV3aLXaf3/vre4QfOKs8J4LUpI2uAFNXthY6mI/UoA91OSs8WUQhP5+kqjvD3HinrbYGvu2BlB6XoCrhWdDUn02JDXAeWNfl1ks+hokFyfsJdJiK/3guib/d2TuArD0gfwtpR+f+Ra6dRHYVgN2MHVABI2BgEtUS5CiKG7VucTnuuuuIzExkeeff54TJ07QuXNnlixZUmLAs+KfrNRspF6zW3sKSYMAIRB2Z7ylzqGSkH1uFAF7Mwhfe4Lgf1NBQL3PdnLwxa7gw3pG0m1RDX8fvNL1358Ot6BzVCI3n7PVz2vUARnPIMM/8O1Y/RDYjuJqGcrfgkx/BPLWQdgrKvlRFKWEOpf4ANx3333cd9991R1GlUs+nsqK6WtJOppCZHw4g0ZfQFzj8g+QXTv3D/76ZVP5A6wCUoC1eSgA4SuP+1ygNX7aGS1aEoxZdkI2JZN1XlUNMj79kLZLAy9v6kOoOY8rm/5XRfevKSTY1vpxfNHusILuxdzZzgHSgZdWZGCKotQBdTLxOdtIKZn20hymvTIHKSUGg4auS756ZiZXPnQJd7x5E5pWtuFcOZm5TBr7Ya2p8C4kpPd1DmQP3ZBYruHFUoOAvZlkdY0BrUjhLHDWkfC7iJa/3V6S97aex4gm/7luf9bIW1POC2jInKkIlfgoinIGlfjUAfPfX8zUCd+5Prfrp/8CnvvujwSFBjLmxWt9vp6Ukn+W/8v3H//MljXbsWbX/LEmsqCgaWa3aKRJA7uOwVrO9V4kBP+bQuCeDIRDkh9uwto6AnSJI8RIRt96fiY//hflOJYTytbUWDpFJfp5bi2nHy/vBSD/LOwmVBSlVCrxqeXybPlMe2WO12O+e+t7rn70MoJCA4ttl1Ky9ded7NtyEHOAie7DOhPdIIqPHviKhR8twWDUcNjLPjOpKkicSU9uuwhMJ3MJ/TuZ0L+TscUHuhqpvFV397ZfFHR3kWVH4pz5FbQ/C4DchGBn4lMFY0gy82tWrbHaw1T6IYqinHVU4lPLbf11J5kpWV6PseXY+PuXzfS9qpdr297NB3h11Lsc3nns9IECWpzblL2bDgDU+KQHAAGHXuqGI8hA2B+JxM7eDzhndpVeGKIke4SZ9L71yOochW42YD6eQ/ivzgHPhb1cJ29uSXaXmAp9Gd40CUmvsnvVHQawDKjuIBRFqYFU4lPL5Wbm+nRcTpHjju09wYN9nsGWk1f8IIkr6alppEaxlZcLR8skj2iCI9T5l31e/OkWLV/aYdL7xCGNGhGrTyA1sCWEcOzuts6usoLSHNagMKznhBOyIZG4Gc4B0FFLjhC4NxNbw2Ayu0WDubylJdyP/TEInV6xR2kU7D2xPTuZAQuQ6WG/A4LVEhaKopRUpxYwPBs1at3Ap+MSihz3ycOTSyY9NVx2h0hkkRG++bEBnLypJen96zs36BIt17dFBwu7uEL+ScbaPJSj97cjs0sMx+9ogzSfTnoA17+zzosho088QoLppJWw308RO2sfTZ/fSODOVB/u6Gl0uHP7mYsdGoROkDGfF7r+5tNrOrsYIOBivC5uCGBdViXRKIpSu6jEp5Zr0rYR7Xq3RniZ9hPfNJa2vc4BwG6388ePG6sqvApjbRHGgRe7cOSRDhwafy6Hnz6XrG5Fups0Qcgm31Y6LnyntBwH8VN2o9kcJN7UEj3YWGz2VsC+DCKWHSVi2VEsB7NIG1Df1TYjdOfKPZrVQf3P/8N8JLvEfZ4991fCTNYz7lqcSdN5pdsaesadHsyrCZ2LGu5n/pB5NA9T3VwlOcC2EcjxfljOZ8ic6VUSkaIotYfq6qoDht0ykO2/7/K4PyM5k9wsKwHBFp6/YlIVRlZxwlefIKNnHLaGwcVbZAAcOqYkGyH/+FfiQeBsb4n64RA5bSNcA5WNSVbqffUflmM5SM15kJBgbRKCHmjAkOsofg0piVhxjFNjWhUPC42M/ACvMeTrBi6od4TrW+wkyRpIqs1CXGAO4eba1SJX5aRvxYRlxgRk5lcQsRhN1eRTFAWV+NQaedY8Vn+3jtVz1pGTkUPT9o259M4Lad6pCb/OW4/QhMeVlXOzrCz7Zg2BIQFs+OmfKo68YphSbDT4eDsnbm2NI9wMdt2ZdRg0zMdyqP/5TrfV10sjJFiO56Jl5qOHmNByHTT8v20YsvKd+4tc03I4y22PldAhZHMKp86Y2r4pOR4NHb2UhtXD2WE0Cs4iJiCXmADfxmwpfpCHIbUjuuVatMhXqjsaRVGqmUp8aoGTBxN5fPAEju876Upwtv++ix8++Zkbnr2Kjcv+9VpOQiDYuHwLJw8knm7mqIUCDmXTZMI/ZHeIwNYkFBySoJ1pBOzLLGcddIidd4CTY88hbN1JDJn5CA8Jjqe3Tjikc9HgIuOcN6fEoZcSWfuIRNqEJxVbF1GpJLbv0HN6owUNr+5IFEWpRirxqeF0XeeZSydy6pBzAbvCBKdwqvn0V+Z6Hd8Dzq6Y7ev+I/VEWqXGWhWELgnZkkrIltIGFPsneEsKxhQroRsSvSaG7t5pCdijLCW64I7lhKIJHV26//pc2XQnr3df7RwzpBKeqpHxEDLwQoTwvMaPlPnOkhmOo6BFgmUgQguuwiAVRalMfg1uzs3N5ddff2X79u0l9lmtVqZOnVphgSlOG5f9y8Fthz2uqSOEwBxgQjN4/1LWhaSnMrjqp+tQ/3870bLtpbYeOYKNpA6sT15cwfgdAekXuC+CqxcOEjpDs9BUJnZfo5KeaiBPdkPmLnT+W89COo4idedAaWn9GZnYF5l2FzLzFWT6I8hTvZHZXyJl8a+jlBIpc5GyFqx3pSiKi88tPv/99x8XXXQRhw4dQgjBBRdcwLfffkv9+s7pxOnp6YwbN44xY8ZUWrBno79+3oTBaMBhdz91V0pZ66am1yRFcw7zKStSeK+oJTXIbRZCymWNSbmiCUFbUgj77aRzFWev93E+NA1Cxy41bm65FYFUSU+1sCLTH0dmfw327Tj7KI1IUzfIX1/kuMJEJxeZ+YbzeyL4VqTjFDL7c8idAzIbCEQGjUQE34Ew+La8hKIo1cfnxOfJJ5+kQ4cO/PXXX6SlpfHQQw/Rp08fVq1aRePGjSszxrOaw+7waTW+7hd3ZsNPmyo9nrrO3dieYvt1yOwd75r2ntMxkpwOka7P6wdmcUPLbVzcaB8BRjvbU6PZnhbD9c13sORIc1JtATQMzuTyJrvPvsKjNY29aC0v+xlJT0ky8/+Qpr6QNg70ZFyV4MmFnFnI3MUQPRNhbFFZESuKUgGEPLP91oP4+HiWLVtGx44dAWdLwz333MPixYtZuXIlwcHBNGjQAIejnIUhq1lGRgbh4eGkp6cTFhZW3eGwfPpaXr/p/7weExEXRm6mlTxrHr59NZWykED2uVGcHNvKbf+URbPz09DvaBCchVFzfiHsunD9W6kDtCagH/Sw0wCm9mjR3mvnKYpSOXx9fvs8xic3Nxej8XQDkRCCTz75hMsuu4z+/fvz33//lS9ixa2+V/ciLDrU4wBmoQmad2pKni1fJT2VyBFkJHVYI06OcZ/0ANilxsubehdLdFTSU8d4THoAHJC/BZm/o8rCURTFfz4nPm3atOGvv/4qsf3DDz/kiiuu4PLLL6/QwBQns8XEhPmPYw4woxlPf7kKE6HuQztjz7d7nc5em3kr9lAVdJPG4cc6cuClrqQOa1Ry8cQiHFJj1fEmHM0OqcIIlRrHvrO6I1AUxQufE5+RI0cyc+ZMt/s+/PBDRo0aVWLWg1IxOlzQlk83vcnldw0lPDYMS5CZlp2b8ugXd/PSwierO7xKIz38uyoJu4490gxG335UJIJ/U2MrOSqlZlMrRCtKTebzGJ+zRU0b4+OLqS9+x/RX5qLralptZUgenkDa4AZeW3uK+qTPEi5s6K1LRKmdfFn904iIW4fQwqsiIEVRiqjwMT5KzTX89sFoPj6UFf9FrDyGKckKPnQnmjQH3WNOVEFUSpUKvN634yxDVdKjKDWcSnzqgJiG0dzz/i3VHUadZch10PD9bYT+capE8iOsdoK2pxK4Iw1jTh7XNttJhMVWTZEqlUJrhAi527djQ+6t3FgURSk3VbKijuh3zfl89thUrDnqoVsZDDl24r7bT9Tiw5y4rTW2+oHEzDlA2N/JiMJkyAiRo5KxthUEBKke5DojYAjIfDD3h7xVXg7UIOdrCH/Z6+Wk4xQ4DoMIBWMrhFrFUlGqlBrjc4baNsZn/78HmTphNr8v+BO9js7sqmkk4AgxYsi2l1jwUNMkHXpl8fq3+zCoPyvqmCAgp5RjLIj4TQhhKLFH2g8hM18D20pcY4UMTRAhDyMCVeFURSmvShvjs2bNGux2e7mCUyrG9j/+4/5eT/P7wg0q6alCAjBmlUx6AHRdsOX3UH5fEl5sXSX150VdUFrSA2ADmVtiq7QfRiZfA7bVFBsg7TiETH8ImfNthUWpKIp3fic+AwcOJCUlpTJiUfwgpeSNMR+Qb8tHd3iezWUOMPlU8kLxzFPOIjWBdDOoXAr4e1tk5Qal1EwiGERQic0y6x2QGcCZK9s7v7tkxqtIPbPy41MUxf8xPqpnrGbYsmY7x/aUPnvoy+3vse23Xbxx8wd1dpHDynZmapPdLoK0wQ2wtnA2pZqP5RC+6jihfyYigJG3JHL3k8fQ5elz1TCOs4EBAq9BiOJ/T0o9A6xLKJn0FJUH1kUQ5OPsMUVRyqxMoxDWrVtHZKT7v2j79etXroAU3xzacdSnZUUO7TjKqcNJKumpIKmD6pNyeRNwnH4/8+oFkji6BdbmobRatovbXzgGoIqQnlUMoEUhgm8ructxEu9Jj/N86TiiGmcVpQqUKfEZOXKk2+1CiFpfpLS2CAi2+LSc8Xt3fUri4eTKD+gsYKsX6Ex6oPhihgUZTmavOPq326wSnrOCgdPJjABzb0T4SwhDXLGjpJTI3Pk+XE9HaKp7VFGqQpkSnxMnThAXF1f6gUql6Tm8K0aTAXu+90RTJT0VJ6NPPDh0MHgYGueQxHYVOHSBZlAtbHVayDMIUwuQVueUdGMj98flfgs5X/hwQQkBF1doiIqiuOf34Ga15kTNEBYdyhX3Xex97Ij6UlUoW0Kw56QHwCBIMwfjZiazUtdkvY7MXQjGJh6THikdyKwPfbte4CiEoUEFBqgoiid+Jz5qcHPNcfsbN3LxbYMB0IwaBpMBzaC5KrdXa1nzOkjk66XOS190rCVGTb3xdV8eWBcik0Yi8za5PyR/K+iJpV/KfD4i7NkKjU5RFM/87upShTBrDoPRwMOf3sU1j13BiulrSTuVTmxCDGExobx356fVHV6dE/xvKtaW3he13JYWy9KjTRjU4BCGMxb6kVLN7qpbHIANmfYgxK4ouWihm/V8StIQlsEIoVa7VJSq4vdP2/fff+91/+WXX17mYJSyadSqPmNevJZThxJZO3c929ftqu6Q6qTQPxNJvbAhepCxZKX2IlnNw38M5vXuq7m08V4cugBdOldxlqjuxzpHB/045K0Fy4Diu4zNKH3qpQ7GFpUXnqIoJfhdskLTTveOCSGKdX3VhVldta1kBYA9384H93/JT58vBwGaQcNRyqBnpWxs9QM5fldbHOFm50BnIUA4u8HCVzinsacNSwCgSUgar5+3iu5xJ8nNFgQGqy6wusmACHnAbSFTPfWeghIV7n4eNTDUR8QsL7H2j6Io/vP1+V2urq7Q0FA2b95M8+bNyxalUiEKkx4pJUhw6CrpqSyW47k0fvkfsjtHk3NOOGiCgAOZhPyVhMHq4MhD7QHQhE6k2UanaOcYD5X01GUShMXtHhH2LDJ5M+gpFE9+DIAREf62SnoUpYrVmZ+4AwcOcOutt9KsWTMCAwNp0aIFL7zwAnl5edUdWqU6eTCRxZ8vU4POq5Bml4T+lUT8jL3ET9tD2K8nMVgdpPeJw9Y0lCBjHm90X8WswQuwGNSYuLpPB8tAt3uEoQEieh4EXgcEFGzVwHIhIno2wty1yqJUFMWpzoyo27lzJ7qu8+mnn9KyZUu2bt3K7bffTnZ2Nm+99VZ1h1dp1sz5o0SXo1K1BNC0bQ6PfbEBh/yLlmFpamZXTRA4GnJn+HGCGQJvAC0IciaD9KUoqQaWQQhjM49HCEM8IvxFZNjToKeBFooQgX7EpShKRfI78cnIyHD9WwhBVlZWsW3VNS5m2LBhDBs2zPV58+bN2bVrF5988kmdTXx0XWflzLWqHEUN0LhlHq3C06o7DKUo60Kcv+Lsvh1vaA55a5zdVkFjwdgcIcxIQ0uw/gDZn+DsotIL/m8Hcw9E+CSfLi+EGQxq4VdFqW5+Jz4RERGuRQyllHTp0sX175o2uDk9PZ2oqCivx9hsNmw2m+vzoklcTTf7rR/YvXF/dYehADv+CuL4IRMx9eyYzCoRrRFkNhgag+OQb8c7dp7+t30niABkxMdoppZgehgZOBKZOwcch0GEIwIvBVN3tairotQyfic+K1eurIw4KtyePXv44IMPSm3tmThxIhMmTKiiqCqOPd/O7LcWVncYSoHE42bG9mpHUKiD4TckM/rhkwSHqvE91c58PuT6mPgUozu7ulLHopt6IUIfQpi7IkIfq/AQFUWpWn5PZ69q48eP54033vB6zI4dO2jTpo3r86NHj9K/f38GDBjAF194r5PjrsUnISGhxk9n3/XXXu7rMb66w1Dc0AySpm2svD1/D0EhKvmpVpEzIXcaWBeV4yIC0BARHyMC3A9iVhSl+lXadHaAtWvX8umnn7Jv3z5mz55Nw4YN+eabb2jWrBkXXHBBmYN259FHH2Xs2LFejyk6nf7YsWMMHDiQ3r1789lnn5V6fYvFgsXifipqTWbP83HcglLldIfgwI4AZn8cy81PnKzucM5SGhiaOmdNmbsgbetAppTxWhLQkelPguVX51idGkRKK+RtBPLA2BphqF/dISlKjeZ34jN37lxuuukmbrjhBjZu3OhqLUlPT+e1115j8eLFFRpgbGwssbGxPh179OhRBg4cSLdu3Zg8eXKxxRbrmqbtG2GyGMm3qQSoJtJ1wY9TY7jpsZPU4W/DGqygqyp3DgReDeGvQ9od5bieBJkGtuU1poq6lDpkf4zM/gpkVsFWgbQMQIRNQBjqVWt8ilJT+f0r+ZVXXuF///sfn3/+OSaTybW9T58+bNy4sUKD88fRo0cZMGAAjRs35q233iIxMZETJ05w4sSJaoupMgWHB3PhmAFo3qqFK9UqI8VIVrqhtLqmSmXRTyIznkFmvoEWMMA50LlcjGDfWxGRVQiZ8QIy6/+KJD0AEmxrkMnXIfWytnApSt3md4vPrl276NevX4nt4eHhpKWlVURMZbJ06VL27NnDnj17aNSoUbF9NXwYUzG7/trLr/PWY82y0rhtQwaNvoDg8GC3x94x6UZ2rt/N/q2H1JT2GkgISUCgc4zPycNG4hNU61zVKviZyPkKGXAxRP0MqdeC/d8yXk8HEVRh0ZWHzN8BubM87HWAfgqZ/SUi9PEqjUtRagO/mwvq1avHnj17Smz/9ddfq7V0xdixY5FSuv2oDbIzchg/7BXu6zGe2W8t5MdPf+H/7vuCaxvcwYqZv7o9Jzg8mPd+e4XbJt5AvWZqfZCaRDNIeg7JwBwg0XX4vycblX6SUkkMyJxv0QwGtJi5ELsZgu+GgFEQ/gUE3eLjdSRYLqzUSH0lc+fjXEvIEwfkfFdV4ShKreJ34nP77bfz4IMPsn79eoQQHDt2jOnTp/PYY49x990li/Qpvnnpmrf5Z7nzL1GHXcee7wAJedY8Xr/x//hnhfu/UgODA7j28Sv4Zu9H3PXOzVUZsuKBEM5k+/oHTuGww5bfQ/hrdRiZad4eVErlcYD9P9dnmiEQLfRhtIgJaIH90MLGIyKngLGjl2toEHA5wphQ6dH6xHEc50KKXsh09NwfkNnTkNYVSJlfJaEpSk3nd1fX+PHj0XWdwYMHk5OTQ79+/bBYLDz22GPcf//9lRFjnbdrwx42Lt3ifqcEYRBMf2UuXQZ5/sWcZ83jmwmzKylCpXQSg1HisAsCgnSe+OAQbbs5Sx7M+SQWpCAnSyM0ouYs8Hn2EKCFeD/C0hth6Y3MmYHMeAVnQVEDzu4yBwQMQ4S/UgWx+kiLxvl3aynfT+mPIhGABC0KQp9HBA6vggAVpebyO/ERQvDMM8/w+OOPs2fPHrKysmjXrh0hId5/sSierZ37BwajAYfd/S8x3aGzedU2MlOzCI10/z7/s/xfstN9qS2kVIYeQzJo0CSPpm2tDByRhtHs/Gv8i1fq89eqMMwBOhHRaoxP9ZAIH2diiaDRzllbuT8gHYdAhCICL0EYW7q/ssyF3MXI/H9BGBCWvmDuV+kV10XgCKTPdcgKuvv1FGT6wyBMiICa0WWnKNWhzEVKzWYz7dq1q8hYzlq5WVbnGmmlsGbbPCY+manZFRyV4o9tfwbTtI2Vpq2tHN1nZuc/Qfw4NYZ92wLRDJIh16RgCazs8WYFf9krRRhAi4eAy30+Q2iREDym1B9JafsDmXYvyEwKf5XKnG+cNb8iv0AYK3Fcl+lcsAxxTq/382suMyeBZYgqtaGctfxOfK688kqv++fNm1fmYM5WCW0aotu999cHhQUSEed5JcoGLdWaHdVp4MhUvvswntkfxSHl6QeKZpBExeZz4yNVsJCh1gD0o5V/nwpVycmaoSki8jOE5n42ltSzwfqz830TEc4uLUPp64ZJ+z5k6m2cLoBapDXPcRCZOgZifkKIylkcVQgBEe8hM152rlVUWpeXiwTHQbBvBZO3MU2KUnf53R4bHh7u+li0aBGaphXbpvhvyI39MFk856CaQWP4bUMwmU0ej2nbsxUJbRogNPVXXNWSRMbmc8/Lx3jqk4M0bH66/InBKOl3WRofLf2P6PjK7uYyQMxc0GrRqr2Bo8HUqXLvEfYiGNy3vMicOcjE3siM8cisT5CZryAT+6JnTnIuDuiFzJ6CM9lwd5wDHEfAWrGLuZ5JCDNa+MuI2LWI8DcRYa9A8O2+nazW+FHOYuWq1RUaGsrmzZurdRp7RfO11kdFWzZtDW/c/AGaJtAdp78kmkEjoXUD3vv1FUIi3K/nA87BzTNencfMifPQ1Zo+VerBSYcZfqPzQSIlHN5jITdbo37jPEIjHVRJj4KxPVrMfKR1GTLtnrJcgGKtFlVAhDyOCLkdKe3I5JvB/heV0vpjuRAR8W6xUhPSugSZ9oDnc4LvQPNSkFQ/2R1kupebCrAMQov8pAwBl520rkSm3VnqcSJ6EcLUqgoiUpSq4+vzWy37W0MMubEfb/z8HO17ny62GhQWyMgHhpea9GxevY3rG93J9Ffnqn77avDBU414/d7GZKQYEAIat7LRunMuYVFVlPQAhD6DtK1D5s4DEVqGC1TDwOvCkgp6Etg3UGldXrZlyMy3XJ9KKQs+9/LFyf4C3ZHoeb+0lnJTecaKylXEcoFz9pZHGhg7qKRHOauVeXCzUvG6DulE1yGdyEjOxJptJSI+ArPFc/cWwKGdR3n64lddRUsdDlUNvKrpDsHqhRHs3RbA+z9WQ0V20/mQtwqZ/RnOv2Vqx/eANLV1ph56UmXfCXJmIEPuQ2hhYN8FjkOlnKND6h3I6DkI4Wb9JWMLsO/E83ttAGPrcsbtPyFMEPYiMu3Bgi1Fk0kN0BBhz1Z5XIpSk/id+Pzf//2f6992u50pU6YQExPj2vbAA16ajxWfhEWHEhbt21/tc9/5AYfdobq3qpmuCw7vDmDR1GiuucdLS0FlsJwPWe8URlK19y4HkfcnGFuC5lsR4vLJg7wNEDAYWWQxQ6/s28D6IwRe4ax7lTMTmfu9cxaXCMX7e+1ABF1fEYH7TQQMg4iPkZlvgOPA6R3G9oiwZ5wV6xXlLOb3GJ9mzZp5vpgQ7Nu3r9xBVafqGuNTVldEjCEnI7e6w1AAkISEO2jePhejES4Zk8QFwzMq/7YiGGQVLGcgQiqw+0ZDhI5HBI8FQE8ZC3l/UKmJW8ijzunf+Zt8PEGAqRMi/HVkyg2gpxWJz1PLmnO7CHkYEVK9K9lLKcG+HfRkMDTwuBaRotQVvj6//W7x2b9/f7kCUyqWLcdW+kFKFRFkpRvY8nsoINmyLpiZm7YTFlnJqzVXdtIT9gbC0heZendBgc9SkhNRD+RJvI/Z0cHU/vQpoY8jk68H8ku/flll/R++T/sGkJC/G5l6F+jpZ8RV9N+GItcNAnNXMHVCSr3SFzL0RghR7D1WFMWpXD+VtakIaF3VsFX9Mg2gNZUydkgpK+H6f6fe2QSF1PYSFUZEwACEIcY5NsaHpESEP1ewYKCnXy8G5yJ/pvNOn2Nqj4iaBsbKHHRbhqRKGJzr3nhNmIruy4K8tcjUccjkEUhHFazfpCiKX8qU+EydOpWOHTsSGBhIYGAgnTp14ptvvqno2BQfXH7PMP9PEpBvUwULK1NUXD4vfrUfrVbPm9Qg8GrnSsYARaaDe2Rsjwi4EBH2FBgaU/JXjAFEECLivRIzEIX5XET09xD5le8hmnuBqTs+LX3uNwMYmuG9Cro7BX8M2nciE4ei536PlHkVHZyiKGXk96/ld955h7vvvpvhw4fz3Xff8d133zFs2DDuuusu3n333cqIUfFi+O2DOXdgB/8WLlSNdJXu4huSMZolWq0syF7wa8HcBxH2zOnNlgspLQkoHNArtChE9BxEyL2nBy+LEAgahYheiDC1cX++EAifpuMbIfh+RORnYGhIxa/MoQEmZ2mIcsmB9MeQyVchHckVEZiiKOVUpsHNEyZMYMyYMcW2f/3117z44ou1fgxQbRvcDJB0LIVXr3+Xrb/urO5QlAJvz99Nh561tGisiEFETAJzb9cYFSl1ZMYEyJ3p4SQDaFGImKVuy0P4M95F2g8hk4aUfqCxXSlTystBhCEiPwaEc2BzuRnA1BUtenoFXEtRFHcqbQHD48eP07t37xLbe/fuzfHjx/29nFJOKSdSebjvc2xf5+MUXaVKVOOY1vKTGWDuUSxRkZlve0l6ABGBiJrqsSaWP4N8hbExGDtS6q8n+w4qJekJfhQR9yvC3KMCxzA6IH8DMn97BV1PUZSy8vvXc8uWLfnuu+9KbJ81axatWqnVQKvaxw9PIfFwErpauLBG2bo+GEc1LIZcMfIg7w+kIxmZ/RV68o2Q87mX4wUYWyKMLSosAuEqF+GtC9dbUlLGMT9aA0TI7QgR4Pw850sqrhtNA9tvFXQtRVHKyu/p7BMmTOC6665jzZo19OnTB4DffvuN5cuXu02IlMqTejKNtXP+UElPDbRoagxX3ZWIrlMrBzjLrP9B/t/4NiBMQv56pCPRp8rmxc6070HmzgdHEhhiEYEjEcYWCMv5EPEJMuOZgpWd/aniLgALUFpZCTf0FGRif6S5NwTeDLbVVFyrkqBaSoMoilKM37+Sr7rqKtavX09MTAwLFixgwYIFxMTE8OeffzJy5MjKiFHx4NCOoyrpqaFOHjEz6b7GSB3sRSbQVUgrkKEDBN3qeb/WpPz3yC9DwVA/Kn5L6UBPfw6ZNByyvwLr95D9JTLpYvT0F5DSgQgYiIhdg4j4FCw+jPk5fXX8W6+nKCvoJ8E6H1JHULFdaY4KGCytKEp5lalWV7du3Zg2bVpFx6L4yRSg1uKpyVZ/H8mBXQFccUsSPQZnYjBI/v0jmJ6XtCPAuIHTf/1rOB/WPiQalqGIiLcQwoIMvAyZ9QXYlgJ5YGiOCL4JaWgOqWNKvVTF0sCP1h6Z9T7kzir47IwkJXcmUotChD6IEEYIGIjM+tDPcOqBfoTKn8IogHAgB+c6QZ7uZwBDApjPr+R4FEUpjd+zujIyvC/BX1tmQnlSm2Z12fPtXN/oTtITq6AsglJhvs+YSkCQzVkoUwQhCYfcqZDzDcgzZ4IVdPEYu0D4m2imxsX2SmmF/O1IPds52Ne6EBynCqqHV9Wq3hpYBqFFfuzT0VLPQp7qjdeuKBGIiF3nGiytJ15YsJCgLwKd5SmyXqXyEx+js1XKEIOuZ0LKzc4aX1Dk3gYQoYio6SWqoks9G2w/g+O4s6p6wFCE1+rqiqJ4UmklKyIiIkosPAbOVZyFEDgctX2l2tohNyuXpKMpXH73UL55aXZ1h6P4QGiC5p2aEBgSCASCFuHcDhD6KIQ+irStQWZ/WVC3SjoXBAweBwGXFvu5kzIfmfV/kDOt4kpWGFqBY3cZTgxAhD7i++F56yh1/I3Mhbz1EDDQ+bmxBTiO4FMXlqk9Ivg6pG0R5G+mckpgOFvpRPjrzlWtAU0LRUZ/C7lzkDkznPGKUAi8AhF0E8IQX+wKMmcWMuM1IBfnr2IHZLyMDL4TEfKA29+ziqKUX5m6uubMmUNUlPqrpDokHU1mynPfsnzGr9jznF0l0Q2iSD6WgsGooesSTdNw2B00adeIg9uPVHPESiGpS665+zB64jAwJCCCrgXLIIQ4vSigsPRDWPohpQ7IYvtc15E6Mu1BZ8HN8rZoGDshwp93LjKYvwWZdr9/54twRNQ0/wpgSl8HHZ8+TgSNQtpW+HZa0I0IYYGoKcjMgi41V3Jodiacxi4Q0BcynvU97qJECCLyU4S5W/HNwgxBoxFBo72eLnN/RGY8V2SL/fT/sz8CYYSQe8sWm6IoXpUp8enTpw9xcXEVHYtSiqSjydzX8ynSTqXjsJ/+Kzb1RCpCE/Qc3g1zoInQqFAG39CX1j1aMOnmj1g581c0g6YGQlcRk8WIPd+B1J1JicGo4bDrXHvvKQZcegIcEhwHkXmrwTwAIj90PjCL8LrujW012JZVQKQaGOohTJ2cU9dzf/TzfCMi6iuEqbWfp53j43FFuoXM/Zz1v6zfezlBgFYPEXCh8zMRiAgbjwx9COz7QZjA0MyVTEppR2a9VzBrzE8yA+lIgvztYGx+evq7L6dKHZn5lvdjsv4HQWMQmi+rWCuK4o8yJT6Kf35buIGlX69Cd+j0vLQrF986GK0Mc5y/eGo6qafS0e3FExhdlyBg8+ptzDr2GZZAi2vf+G/up8+IHnz/8RK2/rpTJT9V4MGPbyctMZO1c9dhzbbRot0xLr1pL+27ZxU5qqDLJm81Mus9ROgTPl9f5s6meEXwstIRgZcj9VRkynXgOOr7qSISEfEOwtTRp8OlngK5i5F6srPLx9ihYAFCd6/BAKZzi7UiCSEg/A0wtUVmfoBzMPEZtGhE1JcIUXzQvxABzvOkA2Q6kkBnUiSMEHwLMnOS76+7qPT7ne1tIhgZNKqge8qHBMi+FfRjpRxkA9tKCLy8bLEpiuKR34ObDQYDJ06cIDbWv/U6aouKHNx8eNdRHuzzLJkpWcW2mwNNvPz9eLoO7uTztbLSsrk67lYcdu8Puyen3s+QG/u53bfgg5/46KGv6mytLoPJgNRltSZ3sQnRfLP3IwzGglaF/P+QyZd6P0kEIWJ/97jq8Zn0pEvBXt6Vug3O8UPR3yKz3oHsyZSeSBmdY40CBhV00ZVetFRKCdkfIbM+Lrh+YcJmxDlOxn7GfQsGAkd/izA2L3k9+yFk8g0g3VQ9t1yBiHijRGuZ1LOQ2Z9Bzrcg0wAB5n6IkLvB1BmZ/jRY55X6WrzTwHSeswWslPdF2n5Fpt5SyvUEIvQ5RPCN5YxLUc4elVayQkrJ4MGD6dq1q9sPxSknK5e7ujxeIukByMvNZ/zQVzi4w/fxN6cOJZWa9GgGjR8++Znpr8x1e+2Lxg6gXrO620VpNBpo2Kp+mc/XDKJc709weBATf3rGlfQAzgG6pa0iLHPA7kcpAy2Ksq0mrJ2OxdIPEfWl8/OcWZSa9Jh6IeL+RIuYhAgY5lPSAyCzv3AOwsaOM+Mu/H8+YCtY16awhdLirAYfM9990iN1ZOqdID10TdkWQs7U4ufoWciUUZD9WUHSg/P+eWuQKdc71xEyNISwd8FQnvWPdMj/E3IXln6oIcGH60kw+nKcoij+8rur64UXXqiMOOqcL8dPJ8+a73G/1CUf3PsFb6140afrBYaW3oSuO3R2rt/Nzj/3MOX5b+l7dS+emHIfAUHOB0tQaCDvrn6JG5vdU2yMUF1hy83j8E4/umvOoDsko8aPpPvFXfh24ny+/+Rnv86/+92xNGl35sPK1+Y135vhRMAIZN4fPh+P1hiEBRx7AOFsmQgah9DCkXoGyMxSLmAAQzxCC/HpdlJPR1rXOLtqbIu8H2w/AHHrEeSBCC7RTVVM3jpw7PV+7+zJzrExhcVVsz4E+25KzuwqeL8d+yD7Q8CMiPwfGFuDbQXSuhjyfvceewkCmTMTEXSN96OMTZCm8yB/o5u4nNdBiwXzBX7eX1EUX6jEp5Ksnl36L82tv+7w+Xr1m8XT4twm7Pv3kGvQrDu6fnohvN/mrecNKXlh9mOu/TENoxk4+gKWTV3j873PJgs+/InBN/al29Bz/U58jCY3P07m8yg9qQkAY1vfbxR4ibOGlH0fPo3z0Q9RbJHE/I3I1DEQ+jwEXUfp44WEa+q9N1LanYN2c6YBeaXHBSBTEPmbnSUqSjs0bz3OX1lelr/WjzunkRsbI2Ue5H5H6dPZJZCHTL0LogqmodsP42yJsnG6pay091o612bygQh73jmuSuadcV1nwibCX3U7o09RlPKrhVWEagdbTum/+P1tdbn5peu9Jj1n0nXJr3PXc2Db4WLbR42/0q/7nk32/3uIK6PHsf23XX6fG98kpsQ2YWoHpi44kwt3NAi61m1ripQ2pPVnZPY0pPUX54McEMKCiPoGzD39iK7o95rzQSszXwbHYQgY5iU+ADsioJRxSoDMeAFyJuNz0nP6RF8P9O84xymQJbuaPZ+TB4XdYvphnEmPAHTnStBaQ0rtthS+zcISpjaIqNlg7l38mqZOiMivEZb+PsatKIq//E58DAaD1w/FKSy69G4Bc6B/JSfOv+w8HvvqHiyBZhDOwbylMRg11sxe5/pc13X2bzlISIRvA2nPRnnWfGa9uZDoBpFomm+LyBmMBpq0dz8mQ0S8B4Z6OB9whdcr+NEzdUOEPlriHJkzG3mqNzLtfmTmy8i0+5yf58x1XlOLQouaAhFfgPDwvSZi8J7QaMicbxHBdxUc5+7Xgeaccm8qORBf2veip7+AfrIn+olOkDubMo2c93FsjTB1pdQin1oMEjMyZx7SusTPQAqSn2JJYsHr0Y+CuSveX58GgSN8vpswnYMW9SUidi0ieg4iZgVa9HcIiz8JraIo/vK7q8toNBIXF8ett95Kly5dKiOmOmHE/cP57PFvvB5zwUj/f8ENHTuQC67syapvf+O/v/ay+IvlXo8XQpCTkUN6UgaZqVl88dR0fpv3p9/3PRslH0v1+dgGLevxSP/nObzzGJYgM/2uPp+rH7mUJu0SEIb6EP29c0Xf3PnOYp6GBETQdRBwSYlxLTJnnrMq+ektBf/LQGY8BcKACByBlHbInOBc5dgdT4OAXRyQvwkR9jRETUamPQz6KZxJUEG3WMAwRNhrJVYRlrbfnAONcVD2afUaGNsiTG18O9zSDwyNnOUdPN1Ti4ekgcjKWK3ZtgEMLcBxwM39DaCFI4Ju8PuywhAHhro76UBRahq/p7MnJSUxefJkvvjiC8LCwrjjjjsYPXo0wcHBlRVjlaqo6ey6rnNT83s5dcj9wycgxMLMQ/8jJMK3AaPuWHNsXB17C7Zc710LDVvV5+ju42W+j+IbIaDwp8lg1NAMGq8uepoug3xb6wYKSlEk9gM92fNBWiwidjXYlvu/0vKZzD3Ror4puLcDbGvAvgtEgHPKurFxiVOknoVM7FtQV6w8ayMEIKJnIEwdfD5D5u9GptwIMp3TLTOa898iBmQKlVOiokD0QsiYUDAwucjYH0MzRORH/q1grShKhaq06ewxMTE8/vjj7Nq1i0mTJrF8+XKaNm3KnDlzyhVwRbLZbHTu3BkhBJs2baqWGDRNY/LO9zm3f/sS+5p2SGDqng/LlfQABARZuHBMfzSD9y/j0T0q6akKRf+EcNh17PkOJlz9FtYcP4qF5v3pPekB0BMhbwPStgbvXVmlEQjLoNOfCQMiYCAi5C5E8Fi3SQ8A1h8LSkCUI+nRGiGiZ/mV9AAIUytEzGJEyP1gaOac/WTqASEPFLRwVe5sRaHFokV/i4ieiwh52LloYeRURMwSlfQoSi1R7pWbC5vAy7IScWV54oknaNCgAZs3b67WOMwBZt5a+SJZaVn8Ov9P7HkOel7SldhG0RV2j5tfuo4NP28i8UhysRWdhSZOD4SuKQsWChAI/GxkrLWkLslOy2H1d78zdOxA307SU3w8Lhmk5+USSqcVFNC8Ej1/D2S+XrCSsuYccBv6JJqhZD0+KSUyZ1Y57xuIiJ7u7AIsA2GIhpB7EUVqWenpz1L67DSLswyGfSuuViLw4TxwDqprCprzZ1eYOoKHVaultIN1CTJnprOivBaOCLiiYBB7hA+vUFGUyuR3tpKYmMikSZM455xzePLJJxk8eDAHDhzgyitrxkyhn376iV9++YW33vJeC6cqhUSEMGzcIC6988IKTXoAImLD+eCPiVw8bhCmgNNjReo1rYFjBiRnTdJTyGAysGuD97VnipKaj8V/DQ0KykV4a+EQoMUAJk7/qBeM1RFhiKjJzurgycMhb42zJUk/Cdb5kHg+em7JNXhk1rtg3+bz6ylBi0FETS1z0uORnkLpyYsNET0bEfkNWAaBCAcRCQHDIfLbgoUFPbWgSUTwbaVWTJcyD5l6JzL9Ecj/2zlmyr4bmfU2MulSpN236e6KolQev1t8EhISiIuL45ZbbnGt1Lx8+ekBtpdfXn21ZU6ePMntt9/OggULCAo6e2YtRcaF89Cnd3LnOzeTdCSZwNBAFnzwE7PeWFDdodVpQvjQeiXBZC79x0xKCTlTIPP90u7qfECbujhbL7LeKqh27i4OiQi+2/lgz52DzN8EGBGWPhBwGTL9WS8LDEpIfwTd3BWtIEmRjpPOqd5lFfYSIvAq74sUFo1ASrCtQuZMB/tOEIEQcDEiaDTCUK/4wYb6lNpyo0U518ax9HQ7c0pGfo5MualI0VJ5+ppBYyDw6tJjzvoA8n4r+OyM2WF6MjLtXoj+vtQESlGUyuN34pOXl8eRI0d46aWXSuwTQuBwlLdwYtlIKRk7dix33XUX5513HgcOHPDpPJvNhs12egxGRoava4rUPIHBASS0bghAVmp2NUfjH82gYTAZsNvyqemNQpFx4cQkRDPw+gtYOnUVB7Yd9ri+ksPuoMdwH2Y/5nyFzHyD9GQDW9eHcf6wDOfk92Jtss7p8CLsReeDU4RC+HvOhymS0w/9gm4cy0UQNNr5sA+5s9gKNNK6rPRVlZGQMREi/8/5qdXf6u3FYxfS7kfSoyMzniuYIl8kocn+DJkzDSInI8znnr564JXIHG+zKDUIvN57hMbmELMEcuc7V26WWWBsjQgahTCf50PMNsiZjudWOIdz4Hj+3wULWyqKUh387urSdd3jR2UkPePHj0cI4fVj586dfPDBB2RmZvLUU0/5df2JEycSHh7u+khIqBv1cZp2qF2vo22vVny0fiK9R/So3kC8/CGuGTRiGkUz7cDHfLzhDa559DJufO5qj0mPZtRo2iGBLoO9z+qSehYy830WfRPF6K7tePn2pjx3U1MO/HdGmRJjK0TkVwjL6VIGImAgInoeBFwBIhgwgbENImwiIuJ9j6v/yuwvvcbkUqQ0hnQkUvbB1FrBgGgf5X5XkPRA8VYcHWQOMu1OZ6JRQJjaQ+C1Hi5mAEN9RPDNpd5WaKGI4DFo0d+ixfyIFvG2T0kPAPa9PiyYaIC8v3y7nqIolcLv6exVLTExkeRk77NcmjdvzrXXXssPP/xQrAnZ4XBgMBi44YYb+Prrr92e667FJyEhoUKqs1enHet388D5T5d6nKYJZDWPvbn1tdFcP34kDruDqS9+x5x3fvBa56yyXf/USGa/9b2zyruUCE1Dd+jENIpm0tLnXK1qhb59fT5fPj0Dzaih23U0TaDrkoat6jNp2fPEJZRc0bkombuQ3759mQm3NjtzD83aWomul0/jVlbu/OALNFOrcr8+KfORJ0vONnRLhKDFb3Sel/0VMnMSZZ05JSI+RARc5EN8Epk01Dkw2MvIfBH+JiLwiiLnOSD7E2T2V0USEA0sQxBhLyAMsWWK22Oc+bucrUy2VTintLeE/PWlnKUVzAa7s0JjURTF9+nsZUp8Vq9ezVtvvcWOHc5aU+3atePxxx+nb9++ZY+4nA4dOlSsm+rYsWMMHTqUOXPm0LNnTxo1auTTdSpqHZ/qJqVk7DkPcGzvCY/HmANM5OfZ/SqDUdE0TdCxXzveXP4Cr41+j9Xfrau2JEwzaJw7oD1v/PIcqSfTWPLVSnZv3IfRbKTXJd3oe3UvzBb3XTWHdx1l0WfLOLj9MIGhgVwwsicXXNnT4/FF6Vlfclev+RzYEYCUnpucvtg0jiadhpf59RWSMg950sdp5MYOaDHznOc5Ep3r9/id+AjQIp0rFPvQ1SX1dOSp7qUFBoFXoYW/XPJ8aYW8zUAeGM9BGOL9jLd00vqTc8HHYjW8fJkdBiJqdrFuOkVRKoavz2+/x/hMmzaNcePGceWVV/LAAw8A8NtvvzF48GCmTJnC6NGjyx51OTRuXHzNkZAQ5xo5LVq08DnpqUuEENz3wS08c+lEkNLtuJnqbFUppOuSpKMpbFmznVWz/K2GXbEGXNebhz69EyEEUfUiGf207zMVE1o35K63S+9KcefkkRD2bw/0eoymSX774QRNSlaO8JsQZqSxjXPAcGlCHzl9niEWGXw3ZH/kLkKcCVHRaeKF2wUi/A2fx/eUWg+rlOOECIBKLPsgHceQaY9SMgEsLekxgKm92/IfZYpDz3K2NumpzhWtLRf48R4rytnL78Tn1VdfZdKkSTz88MOubQ888ADvvPMOL7/8crUlPkpJ3Yd14ZUfnuKjB77k2N6Tru2xCdHUbxbHljW+V4evTMf2nuDxwRMq7HoGowGH3b/xZg9/difDbxvi07F51jz+XrqF9KRM4hrHcO6AduWqU2e1nwd4XwBUMwisOQFejylKylzI+xukzTlA11g8+RfB45DpT3q/iOUitCLjiQBEyAOghSCzPgaZeXqHsS2EPAzWxWD9AShIqs29nIv8mbv6HDsiFIzngH03nru67AhzL9+vWYGc6xiVsoxA0RlhhZ8bGji7+8o5o0tKCdmfI7M+BKynr69FO2fOBVxYrusrSl3nd1eXxWJh27ZttGxZfJXSPXv20KFDB6xWa4UGWNXqSldXUVJKdvzxH0lHU4iMj6BpxwSurX87dlspBR9rISGgTc9zeGbmQ3w+fhq/zv0Dh91710xwRBCzT3yByVz6X8s//O8Xvnp6BllppwfqxiZE8+DHt9Pzkm5lijknM5er48aSb/Me5/hvHmDwDd67k6V0OB+IOVOKDCYWYO6LCH8JYWhQcJx0VlPP/ZbTD+oiAkehhXtORnU9DbI+BNs6wA6m9ojA68Dcw1nKQk8CLQyhRXqN1+PryJ3vJTEzONcDil1RLS0cevINkL+hlKMCwNIb7AdAi3CORQq4HKGVv7SPzPoUmfW2mz3OhEpEfo6w9Cv3fRSltqm0rq6EhASWL19eIvFZtmxZnZkRVdcIIWh3fmvX59v/+K9OJj3gfHxfOKY/8U1ieXbmw2QkZzLv/UVMf2Wux3Ny0nOY9/5igkICaNvrHFp2OXOQsdOCD3/iowe+KrE96UgKz13xBq8tfobzLvJ/7EZQaCBDbhrIz5NXoDtK/h0iBASFB9H3qtK7b2TG80VmQ7m2Qt5vyOTrIHo+whDjbHUImwCWgc4BuvnbATMEXIQIHuO5XAUgHcch5SZwHMKVNDkOIa0/QuA1iLCXEUbfKq57FDAC8ndBzlcUHzsjnIsvRn5Rfd06HmbKFT/GhBb5vwq/tdQzC1p63O4FhHMAurmvWitIUTzwO/F59NFHeeCBB9i0aRO9e/cGnGN8pkyZwvvvl7b4mlJdju09wdHdxwkODyq1tldtZTBq1GsWz5AbT7eKhEWHsmvDHq/nSQlfPDnN9Qxv07MVT894kPrNTg+Kzc228tXTMzycLxFC8OljX9Nt89tleuDc8uooNq3YysmDic7ZZAUKv1ZPTLkPc4DZ++vI3+Em6SnkAD0JmfMVIvQJoKDcTMBARICP5TQoaClKvQccRwu3nL4+OO9vbAnB43y+pjtCCETYeGTAEGfpB/sOEEGIgIsh8KpqLf0gzH2QeX/iubvLAOZKmuhhWwp4q/0mwf4fOPY6vw6KopTgd+Jz9913U69ePd5++22+++47ANq2bcusWbO44oorSjlbqWoHdxzhg3u/YPOq02UGoupHEhhiITfLj+KZ1cinFZKB9r3b8NSMBwkMOT1QWNd1/l66xbcbFdxi9997ebjvc3y66S3CY5zNpet//JvcLM/duFKXHNh6mANbD9Gso/+tHc7SI68x7eU5/Dx5pfNeAroO7sgNz11Nhz5tSg8/dx7eZxY5IOc7ZMjjZW8NyP+71JIVMvtLCBrjcQ0hfwjzeb6vo+MtpvztzmnutmXOGmfGtojgmyDgMoTw8w+BoGsg+2MvK2briOCx5Y7ZLT2VkgPI3R3nY803RTkLlalI6ciRIxk5cmRFx6JUsCO7j/Ng72dKPLBTjqdWU0RlYw40ISXkW/OdrSsFBVhNFiPdh3Wh88AOdB7Y3m3CIXXp93R9h10n9UQa33/8Mzc9fw0AqSfTixd+9SD1ZDrNvK9X6FF4TBj3vn8Ld7x5E+mJGQSGBBAc7seYEMdJSn0gygycA4+9tx55lLeOUqdt66eca/AYm5ftHhVMWn9Gpj1Isann9q3I9MfBtgbC3/Qr+RFaFER8hky9A2frS9Fip7qzq8/cuSJfwmmGBvi0nIBWr/RjFOUs5Xfik56eTnh4uNt9X3zxBbfddlu5g1IqxuRnZmDNthbrOimq8EFuMGqlDgCuSppBo3XPlqQeT+PE/lPk5ea7WnyEEASGBHDjs1cz/I4hBId5r8mWeird5xajonRd8vOUla7EJ6ZhlE8JVEwFFKE1mU3ENCzDdQzROFsDvCQlIghn0dKykVLHt+nmNeP7SeopBVPPJcVjKvi39Qcw93K24vhBWHpC7DLI/Q5pWwXSDubznOUtKjPhswwCEVaQwLqjgamb1zFainK283uwR//+/UlMTCy27ciRIwwdOpTnnnuuwgJTyicrLZtf5/9ZakJz9aOX0WO4H1ONq4AQgnqNYzl1yFkssmjSIqXElmNj5be/EhRacu2b7PRsln6zmrnv/siv89cz7WXv08S9yUg6PV27y5COmAM8JwxCE5xzXgsat2no8ZjKJgJG4H0tGYNzfEw5Br0KcxeglIHxIhwMNeTBmzsPZwuXp6RVIHPcr+peGmGIRYTcixY9Gy1mPlrYM5Wb9ABCWBBhzxd+dsZeDTAhwkpfsV1RzmZ+t/h06tSJPn36sHz5chISEvj888957LHHuOSSS9i6dWtlxKiUQfLxVI8tPYU0TfDP8n/Zt/lgFUXlm8cn38M7t//PY/wOu87ujfvZtWEPbXo4SzhIKZnx2jxmvDqXPGs+mkEr9fV7JSC2oNREni2fF0ZMIs/mfsFHIUDTNO5+p2wLGFYYUyewDAPbz5R80BtAhCKCy9kia77AmdQ4juI+yRIQdCNClLErrYLJvNLGdzkHA0tpR4gy9fxXORF4OQgLMvPNgpl1BUydEGHPO+uWKYrikd8/6VOnTuX++++nT58+tG7dmn///ZfJkydz5ZW+r3KrVL7wmNBSj3HYdfZuPuCtHFK5CE2gaQKhaWiaKHWlaCEEA6/vTXyT2NKP1QTbf//PlfjMeG0eU5771rW/XEkPIBBccodzQcP57y/m37U7PL5PUsJzsx+lwwVty3XP8hJCQMRbyIwoZ5HPoi0zxnaIiEkIQ/1y3kODiE+QKTcUdLcUvs8FA27NFyBC7i7XPSqUMFFq9x8aZWj8rlYiYChYLnIONNfTwNAQYXS/DIOiKMWV6U+cDz74gPDwcCZOnMjixYsZOnRoRcellFNEbDjdLuzEPyu2ek8CKrEs1uSd79OwpfNBu3n1Nh4b9KLX+wUEW7jpxevISPI0fqEIeXqqd1ZaNtNf9bxOT1k069iYi28bjJSShR/95H18j4Aju45V6P3LSggzIvxFZOgDYPvduXKzqS3C1K7i7mFqBTGLkDkzwPo96JlgbIoIGlUwS6rmtJwISz+k9QcvRxjA3Mf/mV01gBACTD7WXFMUxcXv31Dff/89AD169GDQoEFcd911vP/++0RGOldovfzyyys2QqXMxr0yis19n3OuvVJRhUjdLPJb4hAhaNyuEQ1anJ5Zcm7/9jz77SO8Oe5DbDl5Jc6JbxrLc989SqNW9bE1iiI4PIjs9ByP95BS0mWw85f+uu//Ir+C6449P+dRAoMDyM3KJfFwstdjNU1j/9aa1V0otCgIvLTyrm+IRYQ+CKEPVto9KkTAMMh8y7mStNtWHwci+NaqjkpRlGrkd+IzYsSIEtvGjXMuViaEwOHwr0aSUnlad2/J60ue5c1xH3HyYKIraRFawSwnP3OhwJAAhCbIzbJ6TaSklHQd0okVM36ldY+WNGrlbPXpf8359Li4Myu//Z0df/xH8rEUmrRr5JySPqgDmub8q9sSaGHEfRcz47V5bmdjaQaNLoM70KSdc6Xw9KSM8o/pKcJgMrjG9xjNxlKnsQshsJSyuKBSPYSwQNRkZMrNoCdSvI6WjgibgLCcX71BKopSpfxOfHS9ZkxTVXxz7oD2TN37IZtWbuPof8cICgti3Q8bWDt3vd+JwpCb+nHTC9ey+PNlrJr1Gyf2n8KabUPTBBQmBwX5wfz3F7nO63ZhJx6bfC8xDaIIDAlk+G2DGX7bYK/3uvH5qzm86yhr5vzhSmoKE5Am7Rrx1LTTLQ3xTWIrLukxagy4tjdmi3MGl8lsovuwzvz182Yvg60d9B7Ro0Lur1Q8YWwJMUvBughpW1HQ/dceEXgtwqjK7CjK2cbvIqV1XV0sUnqmn6es5K1bPvbrHIPJwLBxg3jof3cU27538wFWf/c7manZbFy6meP7T5VoHdGMGnEJMXzy9yRCInxfkE9Kyd9Lt/DTF8s4tvckEXFhDLmxP32v7uVKTMA56+r6BreTmZbtthVLaAKj0YDd7vDacqMZNMwBJj7a8Eaxaelbf93BIwNecHuuwajRuG0jPtk4qVwV2hVFUZTyqbQipUrt17FvW8yBZvJyS4618cRhdxDfJLbE9hbnNqXFuU1Z98Nf/Pi/X9yeq9t1Th5M5MdPl3L9kyO83mffloMsnbqalBOpRNWL5KKb+/Pcd496PcdsMXH/R7fz2g3vIYRzllUhzaChGTTy80ovyhrdMIpWXZvzzm2fEBQWSL9rejPw+t50uKAtT017kDfHfYQ9347QBAKBw+6gSbsEXvvpGZX0KIqi1BKqxecMdb3F59ThJO7v9TRpp9LcVgL3JqZhFK//8hxN2jYqsW/C1W/y+8K/vHY5NWhZj6//+8DtPofdwbt3fsrPk1eiGZxdWkIT6A7JsFudLU2lJRe/f7+BL8ZP4/DO0zOsOvZtS8NW9Vn6zWoc+aWPPytcxbqwW61+83jeWvECcY1jyUjOZOnU1ez79yBmi4neI3rQ7cJOrrFJNZXUs8C6EJn3D2BAWHpDwDDn+BdFUZQ6wtfnt0p8zlDXE58Xr3yTP378q0wlKjSDRnhMKJN3vl+ihtT95z/NzvW7vZ4fGBLA9xnfuN33xfhpzJq00OO51z05gtsm3lBqjFJK9v97iPSkDOo1jaN+83i+fmEWMyfOK9NrNhg1Eto05LMyVl33xJpj49+1O8jLzaNZx8bFZsBVJGlbh0y7B2QOp9eqcYAWi4j8CmFqXSn3VRRFqWqqq0spIeVEKr9/v6HMU9t1h07aqQx++Xo1Ix8YXmxfXONo/vtrr9cWn+gGUW63Z2fkMK/IYGh35rz9A6OfvpLAkAB2rN/N8mlrSE/KILZRDBeNHUCzDs4SCUIImncqXqz0vKGdy1y6wmHXObD1MP+s2ErXwWWsPlqErutMf3kus9/5ntzM08Vjuw7pyMOf3UW9pnHlvkchaT9YUEgzD+fgpyItXnoKMmUMxC5FaHUvwVcURfHE78QnI8P74nJ1sZWkrjjy3/Fyr+cjkayd+0eJxGfo2EGsmf2Hx/OEJhh++xC3+zat2Eq+zfsYHIfdwfLpa/h76RZ+m/8nBqMBXdfRNMGcd37ginuHcc/749x2O7U7/xxad2/Jnn/2lbHVx8Dfv2yukMTnw/u/5If//VJiEPamldt44Pyn+fjvScR4SBD9JXO+wbl6s7uvuQNkGuTOh+BqLrXhgbTvQebMhLx/QJgRloEQdI1zjSJFUZQy8ntwQmRkpNuPiIgI1yKGSs0UEFwBYzok5GZZS2w+b+i5nDe0M0Ir2R2kGTQatarP8NtLTmGXUvLf3/t8uvV3b37P7ws3AM5ESOrSlcgs/GgJ376+wO15QghenP84DQvWEyqM0WD08dtfOO9XXge2HeaHT0omPeBsTUtPyuQ7L919frMuwXupBom0uh+QXhGkdCCtK9HTHkFPGYue/hwyv7TaWQXnZk9DJl0COTPAvhXyNyKz3kUmDikYq6QoilI2Pv3m79mzJ7NnzwagWbNmBAcH8/LLL7NixQrXx8qVK1mxYkWlBquUT4vOTYlpFF3qce6Sl0IGo0bzc5uU2K5pGhPmP86ld16I0Xy6IVEIwfmXn8c7a14iOCyo2Dl5tnxevOpNZvhYbuLEgZJT5Yua/db35Fndz1SLaRDFJxvf5KnpD9Lr0m507NeWYeMG8f7vrxIRF+71vo58B217tvIpRm+Wfr3Ka7KlO3SWfLWi4tbKkjYfjimZxFbIrfUMZMooZNqdYP0J8n6H3DnI5KudCZD0/Bpl3p/IzJco0T2HDjIHmXobUs8s5f6pSNvvSNt6pJ5dIa9JUZS6waeurs8//5xevXpx2WWXsWPHDj744ANeffVV/vnnHyZNmkSzZqo4Xm1gMBi46flrePeO/7ndLzRBl0Ed2bjM81/lDrvOZXdd5HafOcDMAx/dztiXr2fbb7tw2B2cc14L4gpWQT7Tp49+zbrv//L9BZTSS5eVls2OP3Zz7gD31anNFhODRl3AoFEXFNs+4r6L+frFWW6TqsIB3b1HdPc9Tg+SjqVQ2lSC3Cwr1mwbQaGB5b4fpnaQt57ThUTPZIBKquQt05+A/H8LPnMU/3/uLDAkQMgd7k5FZn/ljM1ta5UOMqugi25MyXP1LGTGa2BdgKtIqwhEBt2ACHmoxlSNVxSl+vjU4tO2bVvsdjtZWVmYTCYeeeQRdu/eTcOGDenUqROPPvooaWlplRyqUhGG3zaYW14d7VzfRhMYTAZXK8SgURfw0vdPMuTGfgDFZjEVtgJdP36kqyK6J2FRoZx/2XlcMLKnx6QnIzmTxZ8vq7gaYgU8tfh4c+0Tl9N9aGegeGuXZtCwBJqZsOBJTGaTh7N9FxkXXurMMHOgGUtQxTycRdCNeE56AByIoOsr5F5FSft+sK3AWzebzP4SKT18rWy/eT0XQNp+K7lNWpEpN4F1PsUq08tcyP4Smfag15YmRVHODj4lPldccQUXX3wxMTGnH2JRUVG89957/PPPPxw4cICWLVvy3nvvVVacSgUa9dRIph/8hBtfuIb2vVvToFV9ugzuSNP2CeRk5PL4lHu5/8PbqN8i3nVOsw6NeWraA9zy6qgKieGfFVux+7CuDjiTkQ4XtC39OCFoWjC7yx8ms4mXFj7JY1/dQ6uuzQkMCSCqXgQj77+Yz7a8XSHdXABDxvT3OlbIYNS4aEz/ilsM0TIEAq8p+KRowuX8sRchD1do1XYX29oz7ueGTAX7Tg87S0tOzuwCK5A7F+zb3e9Dgm055JVMmBRFObv4tI7P1q1b6dDBWQm7S5cuJf5qlVKyZ88ecnJyan2R0rq+jk+hfVsO8uRFL5N2Kt1VtFQIgcFo4OkZD9H3yp5IKclMyUIzaH6VmvDF8ulref2m//Pp2EGjL+Dhz+7igfOf5uD2I26nzBuMGj0v6caE+U9UaJwV7fWb/o8VM34tUXxVM2gEhQXy1soX2fbrLo78d4zg8CD6XXO+a6p+WUgpIXcuMmcK2P9zbjR1QQTfhgi4ECntYFuOtP0OOBCmrhA4HCECyn7P7C+RmW9SWgIjomYizN1KbNeTb4D8v72cryFCHkSE3F38vKTLwb4Lz32iBrAMQYt0v4imoii1W4Wu41OY9ID76uxK7ZKdkcMTF75EZkoWgKu7SUqJPd/Oq9e/w4d/vk7Lzs0Iiw6tlBhadvVtXNjbqybQqZ+zVeKp6Q/ycL/nsGZZi01L1wwaUfUjuf/DWysl1or02Ff3EBYTyg+f/IK9SBmNFp2bcsHInjzQ62nybXYMRg1dl0x7eQ4XXNmDJ6c+QECQ/7PyhBAQdDUi6GqktAKaa5yLtO9FptwG+lEKfxXI3O8gcyJEfoIwn1e2F2nqROmtNmYwum9JE8FjkWkbPJwnnLG6WrKKcBzD+0AwBziOlBKXoih1nVq5+Qw1ocUnNyuXjOQsQqNCKmaQ6xkWfrSEDx/40uMzwmDUGDS6L09Mua/C713UIwOeZ9vvu9DdrK1jMGp0GdyJiT89U2z78f0nmf3m9/zy9SpsuXmERAQz/PYhXPPYZUTEep+dVZNkpGSycekW8qz5NO/UhORjKTx72etuj9U0wQVX9eS5Wd5rlvlD6lnIpKGgp1Cya0gDLIiYH8tUvVxKiUwaDo4Dbq4NYIDAK9HCX/V8ftZbkP05xQc5GwCBiPg/REDJNaH0xAvBcdBLZBqY+6JFfe7Py1EUpZZQJSvKqDoTnyO7jzP1hVmsmbMOh11HM2hccGUPxrx4ndv6WGX11MWv8vcvm7zOMAqJCGZ+ypQKu6c7Jw6c4sE+z5J2Kr1Y95Vm0IhuEMn7v71KrIfp91JK8qx5mAPMFVpKorrcc96T7Nm03+tg7y+3v1esanx5yOxpyMyX8dotFHQTWtjTZbt+/m5kymjnDKxiyY8A4zmIqBkIzXtrorStRWZ/A/mbQJjAMgQRfBPC2NL98VmfILPex1trkwh/FxF4id+vR1GUmq/SSlZomub1QVPbx/hUl/1bD/HQBc9izbG5WkB0h86v8/9kw0+beGf1S7TsUjHLBuTb8kudVp2flw84v56bV20n+VgKUfUi6DywAwZjxQy+rdc0jv9tnMS89xbx01cryEjKICIunOG3DWHkg8MJj/GSsQuBJbByimwmHUvhpy+Ws2P9bowmA92Hdmbwjf0qpfUNnIVjd2/0voijZtD4dd56Rj99ZYXcU9p+LuUIB+QuRoY+iRD+f72FqRXE/IDMngK5C0BmgKE+IvB6CBqN0EofMyYsfRGWvr7fNGgU5HwL+ilKtjQZ/r+9+45vqnr/AP45N23TvWhLKZZRyl5SFASVLUNAQERFhFaQJSoCIoggU8r6ISoOVGQIDhQQla8yBGSDguyNSAXaMrt3cn5/hEZCmzQpaUbzeb9eUXLvufc+Jzfj6bnnngO41QU8H7OgFkRUHlmc+Kxdu7Ys4nB581/8GDmZuUU67moLtMjNzsO8gR/i44NzrdK6UfuBGji646TRebUUlYKaMVHYsWYfPnx1MW5cuaVfF1QxAMPmxxUZC6e0gioGYlB8PwyK76fvYG1P277dhVkDPoDUSGi1WgghsOenP7Fk0jeYvXESasZEWf2YxY2EfTdFEchOz7beQbVZKHFgJHkVMrkhpLojhO8Qi+8AE6pwCP/xgP/40sdpyfGUQKDC15Apo4H8g4Yr1a0hAmZzHB8isnzKih49ehg8NBoNDhw4gNzcXPTo0aMsYiz3LhxLwKn954wmIlqNFucPXyyxVcBcXYc+VuSuoruPV/ehWpjWZ55B0gMAt5JTEd/vPcx8bgEyUqw7Iq69k56zB/9G/PPvQ5Ov0Y+eLKUEJJCZmoVxHacjM9X6owCHRVaAu9r03yAF+RpEWukyFwDAvS50fWZKUgDkboC80afYsXMcjVBFQKnwDUSFdRD+UyD8p0GEbIIS9AmE4jx9wIio7Fic+Nxp9uzZ6Nu3L3799VcMGjQIU6dOtVZcLuXfU5fNKpdw0rxyJYmoEY5XPxwMQNe6U6hw8L7Og9rh9+92m9zH1m92YXjMG7h++YZVYnIEqxf8DGO5l1ajRcatTGz6crvVj+vl64UO/VsbnIs7CSHg5eeJVn1aWO2YuoELzb0srQFQAJnyGqQ502DYmdTcAPL26CY51RR32YuIXNk9JT7Lli3D559/jv3792PdunVYsmSJteJyKV6+5o2Zcne5nKxcbFi6FR+PWorFE77Cib1nTLbk3Knb0Mcwb8sUNOvSBCp3FYQiUDMmCuO/fBWdYtvg6sXrJV4JuZpwDbNjF5p1PHNJKfHP8X9xbOdJmydV+34+YHL2dgmJfT8fKJNjvzCjL0IjKxRJfhSVAghg7BcjSnU7uzHCvQHgM6LwmRlbSECmAjkl9Q2yL5m5BPLao5Dpc3T9fTI/hrzeGdqUscZHiiYil2JxH587XblyBQ899BAA4KGHHsLly9ZpkXA1jVrXg7e/N7LSsoyW8fRRI6ZDQ/3zff87iJnPLUBWWjbc3FWQUuKbWWvR8NG6mLJmrFnj7zRuUx+N29TX3T4sJRRF96O7Y/Ves+LWaiUObTmGiycvWeWus51r9+GLt77+rwVMAA92boLh82MRWduKl3mMKHEkaambWLUsBIUF4IO98fhy6nfYuHQrcrN1P9INH62L/m/3MTr/2L1Q/EZCutWAzPwMKDhpxhZukAWnIPCE1WOxBpn9A2R6/B1L7khic36EFJ4QAdNtHhcROZZ7avHRaDRwc9PlTiqVynqzSrsYtZcafd/sZbLM02N7wMtXd1fRmQPnMbnnHGSn6zrFFuRr9C0Vx3efxsRu8RadCyGEPukBgAoRQRbFf3LPGYvKF2fT8t8xtfc8XDp9R/IsgQMbD+OVFhNw6cyVez5GSWo9UMPo5SZA1/pirekrihMUFoBXP3wRq69/geXnF+L7q4sxb8uUMkl6CgmvblBC1gEV/mdGaQmgbO6ku1dSam/fym60BJD9HaQm2WYxEZFjsjjxadKkCWJiYhATE4Ps7Gx0794dMTEx+pYfKp1n3uiBZ8f3glAEFJUCN3cVFJVu6IDeo7qh38Te+rJfx6+FhCz2spZWo8XJfWdxaMuxUsdS96FaBvN0lcRUsmCO7MwcfPDy5wBQ5DZ7rUaL7PQcfPrGl/d0DHP0fOVxox3MAQBSouvQsr8dWu2lRqXqFU3ezm9twq0G4FYLpi97aSA829sqJMsUnAY0JbU4356vi4hcmsWXuu6csuLuu7gcYTqL9evXY9q0aThy5Ag8PT3RunVr/PDDD/YOq0RCCAya+Ry6D++I31bswI0rNxEUHogOz7dCxaqh+nKaAg12r/vD5A+0yk2F7d/vRUyHRqWOZcSCF4yOJHx32Xttkdi5Zp/JW7q1Gi32/nQAt66mIiis7O7MeaRXMzzxUif8+NEGKCpF/xqr3BRoNFqM+nQYKlU3PyF0JkIIwOclyNTXjJRQAe4P6PoGOSJp/DLxfxQzyxFReWZx4jN58uSyiMMqVq9ejcGDB2PmzJlo164dCgoKcOxY6Vs+7CEsMsTkZa+83HzTrRLQdRDOzrBszBcpJS6fTUROVi4qRVVE865NMeOn8ZjZ7z1kpRW/L0Wl4OFezQwSs9JIunAVKncVNCb62EgpcTXhepkmPkIIvPzBIDRqXR9r31+P0/vPQVGp0OzxJug9qhsaPFynzI7tCITX44A2UdcxWN/yowAoANwbQjjy5J6qqtDFauqzoQFUNWwUEBE5qnvq3OxICgoKMHLkSMydOxeDBv03WWW9epYNuuboPL3VCAoPxK2kFOOFJCzqDLx5xXasmP49Lp9NBAC4q93Q4flWeHHW8/j2yqd4o8M0nNx7FooioNVKfWtIrQeiMOazYfdYI8Av2LfEZA4A/Cv43vOxSiKEQOs+LdDaireOOxPhMwjw7AKZ9T2guQAIXwjPLoBHC7uPs2SKUIVAqjvcvpRVXAItACUEsGQkaCKyGm1BMpAxC8j7C4AAPB4A/MZDURU/LVFZsjjxCQoKMvkFePPmzXsKqLQOHjyIy5cvQ1EUNGnSBElJSbj//vsxd+5cg9nl75abm4vc3P/GJklLS7NFuKUmhMATwzth+dRVJuZ1kug8sK1Z+1s1dx0+G7fCoGtHfm4BNizdhiPbT+L9Pe9gwc4Z+OOXv/DL4i1IvngNwZUC0TG2LR7u+SDc3O89d2711EP4eNRSSCP3zwtFoFbTGuX2MpOjEaoICL9X7R2GxYT/BMgbfxUz8ertyU0D5kKIcvO3HpHT0GZ+CaTfdUdlzmUg50do/d+B4v2UTeOx+FtgwYIFAHSXHoYPH45p06YhLCzM2nFZ7O+/daMaT5kyBfPnz0e1atXwf//3f2jTpg3OnDmD4ODgYreLj493uoEXe4/uhj0//oFzh/4xaCkRioDUSgx/9wWEVC45i7526QY+f3Ol7kkxnYoT/07Gt7PXYfDs59G8a1M079rUmtXQCw4PwpMjH8f37/5cdOwgoYvthRnPlsmxqfwQqgigwmrIjA+A7HUA8qD7y/JRCL+XIdxL1+eNiEpPm3e4aNKjJ4G0CdC6N4DibruuBPc0O7ufnx8OHz6MqCjrz19UaPz48Zg9e7bJMidPnsTBgwfRr18/LFq0CEOGDAGga8257777MGPGDAwdOrTYbYtr8YmMjLTL7OyWyM7Ixorpq7H+003ITNV12KwZE4Xn3noSj/RqbtY+Vs5YjeVTV5m8zOQT6I3V176ASmWdiUmN0Wg0+OLNr7B6wXpoNBooiu5yml+wL0Z/NszsOhEBgJQ5gPYGIPxLnAWeiMqO9sbTQP4h04U8HoISvPyej1Vms7Pb2pgxYxAXF2eyTFRUFBITdf1T7uzTo1arERUVhYSEBKPbqtVqqNWOOTaJKV6+Xhg8+3nETX8GN67cgoenO4LDLRt/5/L5xBIH7c1MyUJWWjb8gsq2f41KpcLgOf3RZ+wT2P3DH8hIyUSlGuF4qFsM3D3cy/TYpCOlFig4BchMQFUVQmX/ltzSEsITUJX9oJdEVIJ8M24wyvur7OO4wz0nPmXd4TE0NBShoSXfNdS0aVOo1WqcPn0ajzyimzk8Pz8f//zzD6pWrVqmMdqTu4c7wquV7gfKN8AHooTMR1EpUFtxqoSSBIYG4PHBHWx2PNKR2Wsh098DtIUDRQpIdXsI/7cgmEDcEylzgbw9gDYNUFUB3Bs7dEdxIusyZzBd286nZ3Hi8+STT+r/nZOTg2HDhsHHx0e/bM2aNdaJzEL+/v4YNmwYJk+ejMjISFStWhVz584FAPTp08cuMTm6Ns+0xNr3jY/Yq6gUPPJkM3io2eJiK1JzFcjZCMh03Y+k52MQwqNsj5m55K6pHgDdYH9bdZ2FK6yBUFUq0xjKIyklkLUcMuN93fkspIoCAmZAeDxgv+CIbEVUAOQ102WUcNvEcpvFiU9AwH/jqDz//PNWDeZezZ07F25ubujfvz+ys7PRvHlzbNmyBUFBll0CchV1H6qFBzo1xsHNR4v08ykcQbrvm08a2fo/NxJv4aePNmDzyu3ISs1C5VoR6D6sI9o994hV7vpyBVIWQKbPArJWQNfDWwGgAdICdD+Snp3K5riaG5Dpc42s1QDaFMj09yACSx7Mku6S+RlkxryiyzX/QN6MBYK/gvBobPu4iGzJZyCQYbqfLnyK74NbVu6pc3N5ZG7nqPIiOyMbs2MXYtfa/fopMjQFGgSGBWDCVyPRpF1Dk9tfOJaAMW0mIzM1S588Fd5d1vSxRpj243i2GJlBmzoNyF6J4m9rA0TQFxDqh61+XF1rz6xijnsnd4iwPyAUb6sfv7yS2lTIqy0BGJvUVgE8HoQSXPZTsRDZk1arBW4+BRQY6evj3hRKha+tciybdW7OyMjA/v37ER0djSpVqtzr7sjGvHy9MGX1WPx7+jJ2r/sTedl5qNYgEi2eeKDE1hqtVovJPecYJD0A9OMLHfztKL6asRpx04veii6lxIk9Z3BoyzFotVrUf7gOmrRr4JJ9H6QmyUjSAxS2/siMBWWT+GguQzfOTYGJUvm6O6SY+Jgv5xeYfk21QN4+SE0ShMq2zfxEtqQoCrTB3wPpM4Hs7wAUzgTgDXj3heI/zuYxWZz4bNiwAXFxcQgMDMTSpUvx1FNP4fLly3B3d8dXX32F3r17l7wTcjiRtSvjmTcs68R6YONhJP5tfLZrqZX48aNf0W9Sb4M7s67+ex1Tes3B2YMXoHLTTXCqKdAisk4Epq59w6JRp8uFnF+gH7CoWFog/zCk5opurBorEkqg0YEj7ygFKOW/9dOqtNdRckIJQHsNYOJD5ZyiKEDARCBgIrTaLAAKFMXTfvFYusH48ePRoUMHPP7443jiiSfw3HPPIT09HW+99ZbTDQRIpv195CLeHfIJ+keNwPPVX8L/vfgxzh26oF9/fPdpqNxMj++TfisTV84l6Z9nZ+bg9bZTcP7IRQC6hEdToGstunIuCaNbT0bKtdQyqI3jkto0mPVR1KZY/+CeXWH6jgoV4NEKQim7OdLKJSUUZt2potzbPHdEzkZRvO2a9AClSHxOnz6NadOmYfbs2bh16xZiY2Ph4+OD2NhYnD17tixiJDvYtPx3DIsZiw1LtyLpn6tIvngNm5Zvw0tNx+GXxb8BwO1BDUvuIqao/nub/bZiBxIvJENbUPQWR02BFqnX07D+081Wq4czEKpIlNgyAAUogzurhFt1wPNJFD+gkwJAQPi9YvXjlnueXQCY6tum6OY/Y2sPkc1ZnPjk5OTA19cXbm5uUKvV8PLyAgB4enoiLy/P6gGS7V08eQlzB34IqZX61hhAl5hIKfHukEU4f/gfxDzWyGB9cUIqByMi+r8v9y1f7zA5dpDUSmz+cvu9V8KZeHYChJeJAipA3RFCKZu7E0XAdMCrLwoTHf3XghICEbSYUz2UglD8IfxGGVmrAHCD8HvdliER0W2l6tw8adIkeHt7Iy8vDzNmzEBAQACysrKsHRvZybqFv+rvzCqOohJYt/AXjPp0GGo2jcLfh/8xmgA9Nbq7wXQX6TczUNKNhJmpmaUP3gkJxQfwnwKZOg5F+/qodNMu+I0tu+MLd4iAKZC+LwG5W26P3BwFqFtBiLKdqqQ8Ez6DAOGpGxhSpvy3wi0awn86hLvpOyaJqGxYnPi0atUKp0+fBgC0bNlSPzlo4Tpyfoe2Hi32UlQhTYEWf205BiEEpq59A6+3m4Ir55L0yZLKTYGmQIsuL7ZHr5GPG2wbWbsyEk5dNrp/RRGoXNP1BssTXr0A4Q+ZMR8oKLxkrADqthB+4yHcIss+BlUY4M3JYK1K/Rjg1gDQJEBABbhFAm6uefcikaOwOPHZtm1bGYRBjsScL+XCMqH3VcCnh+dh69e7sPWbnUi/mYnIOhHoOuQxNHy0bpF9dR3SATtW7zW6X61WovuwjvdWASclPNsD6naA5gKgTQdUlSFUIfYOi0pB5h/XDQyZt/u/ZR4tIPxeZ9JDZGccVpeKiOnQCJfOJhptlVG5KWj62H/9PtReanQe2A6dB7Yza9/t+z2K377aUaRftFAEmj7WGK2fbnlP8TszIQTgFmXvMOgeyLzDkDefR5HBC/P2Qd7oCwQvh/CIsUtsRFTKxOfPP//EqlWrkJCQUKRDs73m6iLr6TGiM376eIPR9VICPV7uUqp9CyEwdukIVGtQBavf/RkpV3W3rvsG+aDHiM7oN7F3ibfIk/1JbYbuH8KHLRh3kFJCpr0FXdJz9x8OWgAFkKkTgZD1fN2I7MTixOebb77BgAED0KlTJ2zcuBEdO3bEmTNnkJycjF69epVFjFTGpJQ4sv0Etn61E6k30lGxSggGxffD4jdXQgL6lh/FTQEk8MbSl1Gtfun7nKhUKjw7rif6jOmOS2euQKuVqFyzEqe2cHBSSiBnHWTmYqBA188PqmjdXDxevflDDgAFx4GCMyYKaAHNOSD/CMB5uojswuLEZ+bMmXj33XcxYsQI+Pn54b333kP16tUxdOhQVKrkep1SnV1OVi6m9p6HPzccgspNBa1GA0Wl65zc4flW8Kvgi4ObjwJSokm7hnhiRCerjaysclOhar2y77RL1qGbRHUJDMb80ZyHTJsA5B8D/Ccz+Sm4aF45TQIAJj5E9mBx4nP+/Hl07doVAODh4YHMzEwIITBq1Ci0a9eOozc7mQVDF+Hg5iMAAE2B5vb/dS08m1dsx5A5/fH50fl2i48cg8z743bSAxh2zrr97+yvAM/2gPpRW4fmWMyd2kPxK9s4iMgoiwcwDAoKQnp6OgCgcuXKOHZMN+NqSkoKx/JxMlcTrmHLVzsNJhi927dzfkB+nrEZpslVyMyV0M09ZYwKMmulrcJxXB7NAVHC9B7CHxJu0N4aBm1yE2iTY6C9NRwyd59tYiRycRYnPq1atcKmTZsAAH369MHIkSMxePBg9O3bF+3bt7d6gFR29v9yqMQJKlOvp+PswQsmy5ALKDgB03NPaYD8U7aKxmEJ4QHhW8IUHx4PALcGArm/6waLlBlA7jbIW/0hM7+wTaBELsziS10LFy5ETk4OAOCtt96Cu7s7du/ejd69e2PixIlWD5DKTn5uPoQQJY6knJ/DFh+XJ7zNKGPfiQcdhnd/CJkDmfEedHOwqaBLGt0Arz66y4IADBNJ3b9l+izA40GO6kxUhixOfIKDg/X/VhQF48ePt2pAZDs17q9mdFqKQio3BVXq3WejiMhRCc9OkBmnUPQW7ULK7Yk5SQgB+A4BvJ8Gcn6F1CTrRsX27AyZNhP/JULFUUFmroQInGXDiIlci8WJz5EjR0yub9SIExo6i4aP1kVkncq4fDax2H4+ikpBq6daICishD4LVP55PwNkfgHIdBRNfhRAeENwugsDQgkEvJ81mJJX5h9EyZcMD5RtYEQuzuLE5/777zd6eUQIAY3G1IeaHIkQAm99/RrGtJmM7Mwcg5GaFZWC8GqhGL7gBTtGSI5CKMFA8DLIW4MB7TX819FZA4gAiKBPIVQV7RmikzDnK5cD6hOVpVJ9wvbt24fQ0FBrx0J2UKNxNXx8cA6+m/cTNi3fhpzMXASE+qPb0MfQe1Q3+AX52jtEchDCvR4QulV3+SZvHwAJ4fEg4Pk4hFDbOzznoG4LZCXA1KUueLa1ZURELkfIknq23kVRFCQlJSEsLKysYrKrtLQ0BAQEIDU1Ff7+Zo7JUU5IKaEp0MDNnX9xEpUFWZAAeb0LdJ2e7/7qFQDcIUJ+gXDjwJ5EljL397tUv3AbNmxASEgIfHx8EBERgRo1anDE1nJACFEmSc+FYwk4vus0hAAat22A+2pyhG9yTcKtChD0IeStV2A4n5cCwB0i6EMmPURlrFQtPgY7EAJ+fn6IjY3FvHnz4O7u3PMtuXKLj7Vdv3wD8f3ex5HtJwyWP9ilCcYtexkBIXx9yTVJzTUge9XtS4aA8HgI8OoDoWIXAqLSMvf32+LEp1B+fj7S0tJw5coV7N+/H2+99RZeeOEFxMfHlzpoR8DExzoyUzMxLOYNXPv3un4KjEKKm4Jq9SLxwb54TkxKRERWYe7vt8UjNxdyd3dHhQoV0LBhQwwaNAiffvopVqxYUdrdUTnzy+ItSP7nWpGkB9DN9v73kYv4fdVuO0RGRESurNSJz926d++Ow4cPW2t35OQ2Lt1mcjoMoQhsXLbNdgERERHBgsRnyJAhyMjIMLpeCGEwqjO5tpRrqUVvWrmD1ErcSk61XUBE5PSkzIHUpkJK4xMrE5XE7MRn8eLFnH2dzBZWNRRCMX6nn6JSEF69fA6J4Cyk1ELm7oLMXAGZvRZSe8veIREVS+buhfZmHGRyY8irD0JeewQy4yNImWPv0MgJmX3vcin7QJOL6jq4A07vP2d0vVajxeOD2tswIrqTzNsPmfIGoL0C3fgxEoA7pPcACL/XIYSqhD0Q2YbMXgeZ+gZ0f6ff/h3SXofMeF83w33wMghOkEsWsFofH6I7tX++Feo+VBOKquhbTCgCD3S+H827xdghMus5sfcMZjw7H70qxKFnUCwmdo/Hwc2m57JzBDL/KOTNFwBtUuGS2//PB7IW355Ik1yFruXvd2hvvQTt9a7Q3uwPmfW9Q7SmSO1NyNQJ0L1H7x7tWgvkHwYyl9ghMnJmZt/OrlKpkJSUVO6nquDt7NaTnZGNT8Ysx8Zl21CQVwAAUHt5oNvQxzAwvp9T38q+/tNNWDD8U6hUiv7ONcVNgbZAi7hpz6LfxN52jtA47c1BQN4uGJ9pXUCE/Abhdp8twyI7kDIfMmUUkLsR/80af7sFUBUFEfylXccWkplfQKbPhskOg0ooROgOCMG/412d1cfxURQFXbp0gVptek6eNWvWWBapg2HiY33ptzJw9uAFCAHUfjAa3n5e9g7pnlw8eQmDG4w2efn3/7ZNRaNW9WwYlXmk9hbk1Ydg8ocECoTvKAjfobYKi+xEm/4ekPkRin8/qAD3GCgVVto6LD1t6nggex1Mz2gPiLA/IRR+X7s6q09ZERsba5XAyPX4Bfkipn1De4dhNT9/vBGKSkBTUHzyoHJT8MMHvzhk4gNtKkwnPQCgQGpvgpPQlG9S5gJZy2H8/aAB8v+AzD8J4V7XlqH9R3gCJb4TBSA8bBENlRNmJz5LlvA6KhEAHN15stiBGQtpCrQ4tuuUDSOygBKC/y5pGKOFUEXYKCCym4LTgEwvoZAC5O0F7JT4CPVjkFlfmSihAjxasnMzWYQXRYks5OZe8h1PKjfH/GgJxRfw7AJd8mOMAnh1t1VIZC9m36lrxzFzPFoAbvVh/P2q5SVZsphjfjuX0pkzZ9CjRw+EhITA398fjzzyCLZu3WrvsKicadYlpshkvXdSuSlo/nhTG0ZkGeH7GiB8YezHRPiNgVA4GGm551YTQEn97bSAu/3ey0IoEEGfAW51bi9xg+59KwB4QATMhfBoZrf4yDmVq8SnW7duKCgowJYtW3DgwAE0btwY3bp1Q1JSUskbE5np8SEd4K52K36AxtuLerzc2bZBWUC4VYGosArwaG64QgmD8J8B4TPIPoGRTQnFG/B+BsZ/BlS61hb3xrYMqwihCoGosBoiaAng/TTg1RPCbzxE2E4IryfsGhs5p1LPzu5orl+/jtDQUGzfvh2PPvooACA9PR3+/v7YtGkTOnToYNZ+eFcXmeOvLUcx6YnZyMvJg9TqPkKKSoFQBCasHIlWT7Wwc4TmkQWXAM1FQPgA7g05cKGLkTIH8uaLQP5+6BKgwstaiu428eCVEG5V7BghkfmsfleXo6tQoQJq166N5cuXIyYmBmq1GosWLUJYWBiaNjXeVJubm4vc3Fz987S0NFuES06uSbuG+PLvD/HL57/h4OYj0Gq1aPRoPTw+pAPCIkPsHZ7ZhNt9AMfrcVlCeALBXwDZP0NmfwNo/gVEIIRXL8D7aQgl0N4hEllduWnxAYBLly6hZ8+eOHjwIBRFQVhYGNavX48mTZoY3WbKlCmYOnVqkeVs8SFyPFKbAmjTAFUohHDu8aCIyLrMbfFx+D4+48ePhxDC5OPUqVOQUmLEiBEICwvDjh07sH//fvTs2RPdu3dHYmKi0f2/+eabSE1N1T/+/fdfG9aOiMwh8/6C9uYLkFebQV7vAJn8ILSpb0Fqku0dGhE5GYdv8bl27Rpu3LhhskxUVBR27NiBjh074tatWwaZXs2aNTFo0CCMHz/erOOxjw+RY5G52yFvFd6yfOf4QypACdZ1fFWF2yM0InIg5aaPT2hoqFnzg2VlZQFAkduMFUWBVmvHcSiIqNSkzINMGQtdp9u7/0bTANqbkGmzIIIW2D44InJKDn+py1wtWrRAUFAQYmNjcfjwYZw5cwZjx47FhQsX0LVrV3uHR0SlkbsVkLdgclqF3A2Q2pu2jIqInFi5SXxCQkLw66+/IiMjA+3atcMDDzyAnTt3Yt26dWjc2L7jUBBRKRX8DdOjTAOABihg3zwiMo/DX+qyxAMPPIANGzbYOwwishbhA7OmTFB8yjwUIiofyk2LDxGVQ54lDTwqAFU1QFXDFtEQUTnAxIeIHJZQRQBevaGfC6QICeE7EkIYW09EZIiJDxE5NOE/BfAsnJNJBd0VegHAHcLvbQgv3rxAROYrV318iKj8EcIDInAuZMFwIOd/kNpUCFUk4NUdQgmyd3hE5GSY+BCRUxBuUYDvy0YvehERmYOXuoiIiMhlMPEhIiIil8HEh4iIiFwGEx8iIiJyGUx8iIiIyGUw8SEiIiKXwcSHiIiIXAYTHyIiInIZTHyIiIjIZTDxISIiIpfBxIeIiIhcBhMfIiIichlMfIiIiMhlMPEhIiIil8HEh4iIiFwGEx8iIiJyGUx8iIiIyGUw8SEiIiKXwcSHiIiIXAYTHyIiInIZTHyIiIjIZTDxISIiIpfBxIeIiIhcBhMfIiIichlMfIiIiMhlMPEhIiIil8HEh4iIiFwGEx8iIiJyGUx8iIiIyGUw8SEiIiKX4TSJzzvvvIOWLVvC29sbgYGBxZZJSEhA165d4e3tjbCwMIwdOxYFBQW2DZSIiIgclpu9AzBXXl4e+vTpgxYtWmDx4sVF1ms0GnTt2hXh4eHYvXs3EhMTMWDAALi7u2PmzJl2iJiIiIgcjZBSSnsHYYmlS5fitddeQ0pKisHyX375Bd26dcOVK1dQsWJFAMAnn3yCcePG4dq1a/Dw8DBr/2lpaQgICEBqair8/f2tHT4RERGVAXN/v53mUldJ9uzZg4YNG+qTHgDo1KkT0tLScPz4caPb5ebmIi0tzeBBRERE5VO5SXySkpIMkh4A+udJSUlGt4uPj0dAQID+ERkZWaZxEhERkf3YNfEZP348hBAmH6dOnSrTGN58802kpqbqH//++2+ZHo+IiIjsx66dm8eMGYO4uDiTZaKioszaV3h4OPbv32+wLDk5Wb/OGLVaDbVabdYxiIiIyLnZNfEJDQ1FaGioVfbVokULvPPOO7h69SrCwsIAAJs2bYK/vz/q1atnlWMQERGRc3Oa29kTEhJw8+ZNJCQkQKPR4NChQwCA6Oho+Pr6omPHjqhXrx769++POXPmICkpCRMnTsSIESPYokNEREQAnOh29ri4OCxbtqzI8q1bt6JNmzYAgIsXL2L48OHYtm0bfHx8EBsbi1mzZsHNzfz8jrezExEROR9zf7+dJvGxFSY+REREzsflxvEhIiIiKgkTHyIiInIZTHyIiIjIZTDxISIiIpfBxIeIiIhcBhMfIiIichlMfIiIiMhlMPEhIiIil8HEh4iIiFwGEx8iIiJyGUx8iIiIyGUw8SEiIiKXwcSHiIiIXAYTHyIiInIZTHyIiIjIZTDxISIiIpfBxIeIiIhcBhMfIiIichlMfIiIiMhlMPEhIiIil8HEh4iIiFyGm70DICIiIvuTmkRAkwgoQRBu1e0dTplh4kNEROTCZP5JyPRZQN6e/5a51YPwGwuhftiOkZUNJj5ERETlmLbgGpA+Gcj9HUA+ADfAozngPxVCZkDe6Asg13CjgpOQtwYBgR9CeLa3Q9Rlh4kPERFROaUtuAhc7wog746lBUDeLuB6J0hVTeiSHu1dW0rdf9MmAerWEKL8pAvs3ExERFRe3YyFYdJzJw2gOYWiSU8hCWivA7k7yiY2O2HiQ0REVA5p808B2iv3uBcBaP61SjyOgokPERFReZS70Qo7kYASaIX9OA4mPkREROWSNfrleALqdlbYj+Ng4kNERFQeeT55z7sQvsMgFF8rBOM4mPgQERGVQ4pbOOBWr4RClSD8ZwHC5/YCFQABwB3C91XAZ3gZR2l75ef+NCIiIjIUvAK49hggbxSz0gcIXgXhVhHw6gLkbAY0VwAlGPB8DKKc9e0pxMSHiIionFIUX2hDdwBZnwNZXwHaVF3rjlcvwPcVKIonAEAIL8Cru52jtQ0mPkREROWYorgBvsN0D3KePj7vvPMOWrZsCW9vbwQGBhZZf/jwYfTt2xeRkZHw8vJC3bp18d5779k+UCIiInJYTtPik5eXhz59+qBFixZYvHhxkfUHDhxAWFgYVqxYgcjISOzevRtDhgyBSqXCyy+/bIeIiYiIyNEIKaW0dxCWWLp0KV577TWkpKSUWHbEiBE4efIktmzZYvb+09LSEBAQgNTUVPj7+99DpERERGQr5v5+O82lrtJITU1FcHCwvcMgIiIiB+E0l7ostXv3bnz77bdYv369yXK5ubnIzc3VP09LSyvr0IiIiMhO7NriM378eAghTD5OnTpl8X6PHTuGHj16YPLkyejYsaPJsvHx8QgICNA/IiMjS1sdIiIicnB27eNz7do13LhR3KBK/4mKioKHh4f+eUl9fE6cOIG2bdvixRdfxDvvvFNiDMW1+ERGRrKPDxERkRMxt4+PXS91hYaGIjQ01Gr7O378ONq1a4fY2Fizkh4AUKvVUKvVVouBiIiIHJfT9PFJSEjAzZs3kZCQAI1Gg0OHDgEAoqOj4evri2PHjqFdu3bo1KkTRo8ejaSkJACASqWyanJFREREzstpEp+3334by5Yt0z9v0qQJAGDr1q1o06YNvv/+e1y7dg0rVqzAihUr9OWqVq2Kf/75x9bhEhERkQNyunF8ylpqaioCAwPx77//so8PERGRkyjso5uSkoKAgACj5ZymxcdW0tPTAYB3dxERETmh9PR0k4kPW3zuotVqceXKFfj5+UEIcU/7Ksw+y2PrUXmuG8D6ObPyXDeA9XNm5blugP3rJ6VEeno6IiIioCjGR+thi89dFEXBfffdZ9V9+vv7l8s3OVC+6wawfs6sPNcNYP2cWXmuG2Df+plq6SlUrqesICIiIroTEx8iIiJyGUx8ypBarcbkyZPL5QCJ5bluAOvnzMpz3QDWz5mV57oBzlM/dm4mIiIil8EWHyIiInIZTHyIiIjIZTDxISIiIpfBxIeIiIhcBhMfK6tWrRqEEAaPWbNmmdwmJycHI0aMQIUKFeDr64vevXsjOTnZRhGb559//sGgQYNQvXp1eHl5oUaNGpg8eTLy8vJMbtemTZsir8ewYcNsFLVpH374IapVqwZPT080b94c+/fvN1n+u+++Q506deDp6YmGDRvif//7n40itUx8fDwefPBB+Pn5ISwsDD179sTp06dNbrN06dIi58nT09NGEZtvypQpReKsU6eOyW2c5bwBxX9/CCEwYsSIYss7+nnbvn07unfvjoiICAgh8MMPPxisl1Li7bffRqVKleDl5YUOHTrg7NmzJe7X0s9uWTBVt/z8fIwbNw4NGzaEj48PIiIiMGDAAFy5csXkPkvz/i4rJZ27uLi4IrF27ty5xP06wrlj4lMGpk2bhsTERP3jlVdeMVl+1KhR+Omnn/Ddd9/h999/x5UrV/Dkk0/aKFrznDp1ClqtFosWLcLx48fx7rvv4pNPPsGECRNK3Hbw4MEGr8ecOXNsELFp3377LUaPHo3Jkyfj4MGDaNy4MTp16oSrV68WW3737t3o27cvBg0ahL/++gs9e/ZEz549cezYMRtHXrLff/8dI0aMwN69e7Fp0ybk5+ejY8eOyMzMNLmdv7+/wXm6ePGijSK2TP369Q3i3Llzp9GyznTeAOCPP/4wqNumTZsAAH369DG6jSOft8zMTDRu3BgffvhhsevnzJmD999/H5988gn27dsHHx8fdOrUCTk5OUb3aelnt6yYqltWVhYOHjyISZMm4eDBg1izZg1Onz6NJ554osT9WvL+LkslnTsA6Ny5s0GsX3/9tcl9Osq5gySrqlq1qnz33XfNLp+SkiLd3d3ld999p1928uRJCUDu2bOnDCK0njlz5sjq1aubLNO6dWs5cuRI2wRkgWbNmskRI0bon2s0GhkRESHj4+OLLf/000/Lrl27Gixr3ry5HDp0aJnGaQ1Xr16VAOTvv/9utMySJUtkQECA7YIqpcmTJ8vGjRubXd6Zz5uUUo4cOVLWqFFDarXaYtc7y3mTUkoAcu3atfrnWq1WhoeHy7lz5+qXpaSkSLVaLb/++muj+7H0s2sLd9etOPv375cA5MWLF42WsfT9bSvF1S82Nlb26NHDov04yrlji08ZmDVrFipUqIAmTZpg7ty5KCgoMFr2wIEDyM/PR4cOHfTL6tSpgypVqmDPnj22CLfUUlNTERwcXGK5lStXIiQkBA0aNMCbb76JrKwsG0RnXF5eHg4cOGDwmiuKgg4dOhh9zffs2WNQHgA6derk8OcI0J0nACWeq4yMDFStWhWRkZHo0aMHjh8/bovwLHb27FlEREQgKioK/fr1Q0JCgtGyznze8vLysGLFCgwcONDkhMnOct7uduHCBSQlJRmcn4CAADRv3tzo+SnNZ9dRpKamQgiBwMBAk+UseX/b27Zt2xAWFobatWtj+PDhuHHjhtGyjnTuOEmplb366quIiYlBcHAwdu/ejTfffBOJiYmYP39+seWTkpLg4eFR5MNQsWJFJCUl2SDi0jl37hw++OADzJs3z2S55557DlWrVkVERASOHDmCcePG4fTp01izZo2NIi3q+vXr0Gg0qFixosHyihUr4tSpU8Vuk5SUVGx5Rz5HAKDVavHaa6/h4YcfRoMGDYyWq127Nr744gs0atQIqampmDdvHlq2bInjx49bfdLee9G8eXMsXboUtWvXRmJiIqZOnYpHH30Ux44dg5+fX5HyznreAOCHH35ASkoK4uLijJZxlvNWnMJzYMn5Kc1n1xHk5ORg3Lhx6Nu3r8nJOy19f9tT586d8eSTT6J69eo4f/48JkyYgC5dumDPnj1QqVRFyjvSuWPiY4bx48dj9uzZJsucPHkSderUwejRo/XLGjVqBA8PDwwdOhTx8fEOOYy3JXUrdPnyZXTu3Bl9+vTB4MGDTW47ZMgQ/b8bNmyISpUqoX379jh//jxq1Khxb8FTiUaMGIFjx46V2E+gRYsWaNGihf55y5YtUbduXSxatAjTp08v6zDN1qVLF/2/GzVqhObNm6Nq1apYtWoVBg0aZMfIrG/x4sXo0qULIiIijJZxlvPmyvLz8/H0009DSomPP/7YZFlnen8/++yz+n83bNgQjRo1Qo0aNbBt2za0b9/ejpGVjImPGcaMGWPyry4AiIqKKnZ58+bNUVBQgH/++Qe1a9cusj48PBx5eXlISUkxaPVJTk5GeHj4vYRtFkvrduXKFbRt2xYtW7bEp59+avHxmjdvDkDXYmSvxCckJAQqlarInXOmXvPw8HCLyjuCl19+GT///DO2b99u8V//7u7uaNKkCc6dO1dG0VlHYGAgatWqZTROZzxvAHDx4kVs3rzZ4pZRZzlvAPTnIDk5GZUqVdIvT05Oxv3331/sNqX57NpTYdJz8eJFbNmyxWRrT3FKen87kqioKISEhODcuXPFJj6OdO7Yx8cMoaGhqFOnjsmHh4dHsdseOnQIiqIgLCys2PVNmzaFu7s7fvvtN/2y06dPIyEhweAvubJiSd0uX76MNm3aoGnTpliyZAkUxfK3z6FDhwDA4IvO1jw8PNC0aVOD11yr1eK3334z+pq3aNHCoDwAbNq0ySbnyFJSSrz88stYu3YttmzZgurVq1u8D41Gg6NHj9r1PJkjIyMD58+fNxqnM523Oy1ZsgRhYWHo2rWrRds5y3kDgOrVqyM8PNzg/KSlpWHfvn1Gz09pPrv2Upj0nD17Fps3b0aFChUs3kdJ729HcunSJdy4ccNorA517mzalbqc2717t3z33XfloUOH5Pnz5+WKFStkaGioHDBggL7MpUuXZO3ateW+ffv0y4YNGyarVKkit2zZIv/880/ZokUL2aJFC3tUwahLly7J6Oho2b59e3np0iWZmJiof9xZ5s66nTt3Tk6bNk3++eef8sKFC3LdunUyKipKtmrVyl7V0Pvmm2+kWq2WS5culSdOnJBDhgyRgYGBMikpSUopZf/+/eX48eP15Xft2iXd3NzkvHnz5MmTJ+XkyZOlu7u7PHr0qL2qYNTw4cNlQECA3LZtm8F5ysrK0pe5u35Tp06VGzZskOfPn5cHDhyQzz77rPT09JTHjx+3RxWMGjNmjNy2bZu8cOGC3LVrl+zQoYMMCQmRV69elVI693krpNFoZJUqVeS4ceOKrHO285aeni7/+usv+ddff0kAcv78+fKvv/7S39k0a9YsGRgYKNetWyePHDkie/ToIatXry6zs7P1+2jXrp384IMP9M9L+uw6Qt3y8vLkE088Ie+77z556NAhg89hbm6u0bqV9P52lPqlp6fL119/Xe7Zs0deuHBBbt68WcbExMiaNWvKnJwco/VzlHPHxMeKDhw4IJs3by4DAgKkp6enrFu3rpw5c6bBG+HChQsSgNy6dat+WXZ2tnzppZdkUFCQ9Pb2lr169TJIKBzBkiVLJIBiH4XurltCQoJs1aqVDA4Olmq1WkZHR8uxY8fK1NRUO9XC0AcffCCrVKkiPTw8ZLNmzeTevXv161q3bi1jY2MNyq9atUrWqlVLenh4yPr168v169fbOGLzGDtPS5Ys0Ze5u36vvfaa/rWoWLGifPzxx+XBgwdtH3wJnnnmGVmpUiXp4eEhK1euLJ955hl57tw5/XpnPm+FNmzYIAHI06dPF1nnbOdt69atxb4XC+ug1WrlpEmTZMWKFaVarZbt27cvUu+qVavKyZMnGywz9dm1FVN1K/wuLO5x53f/3XUr6f1tS6bql5WVJTt27ChDQ0Olu7u7rFq1qhw8eHCRBMZRz52QUsoybFAiIiIichjs40NEREQug4kPERERuQwmPkREROQymPgQERGRy2DiQ0RERC6DiQ8RERG5DCY+RERE5DKY+BCRwzh69Ci6dOmCvLw8HDlyBM2aNbN3SERUzjDxIXIycXFxEEIUebz44ov2Du2eNWjQAO7u7vDx8UGzZs0wevRoe4fkcrZv347u3bsjIiICQgj88MMP9g6JyKo4OzuRE+rcuTOWLFlisMzb29tO0ViPEAI//vgjrl69Cl9f33JRJ2eTmZmJxo0bY+DAgXjyySftHQ6R1bHFh8gJqdVqhIeHGzz8/f0NyhTXKnTo0CEAwI0bN9C3b19UrlwZ3t7eaNiwIb7++muD7du0aaPfzsvLC/fffz9+/fVX/fq4uDj07NnTYJulS5ciMDBQ/3zKlCm4//77i63DDz/8ACFEsWXDwsLg5uaG6OhoCCGQkpJi9LW4s1VCSokBAwagUaNGuHXrlr7Mxx9/jBo1asDDwwO1a9fGl19+WWQfHh4eSE5O1i+7du0a1Gp1kRiLe13vjnH16tWoX78+1Go1qlWrhv/7v/8zOF61atWwYMECg2V3v55arRbx8fGoXr06vLy80LhxY3z//ff69du2bSv2tbnz9TAWqxAC27ZtK/b17NKlC2bMmIFevXoVu57I2THxISqHCqfgW7JkCRITE7F//36D9Tk5OWjatCnWr1+PY8eOYciQIejfv3+RcoMHD0ZiYiKOHTuGBg0aIDY21mZ1WLhwoUEiYo5XX30Vu3fvxsaNGxEUFAQAWLt2LUaOHIkxY8bg2LFjGDp0KF544QVs3brVYNuwsDCDVrQlS5YgNDS0yDHq16+PxMRE/WP16tUG6w8cOICnn34azz77LI4ePYopU6Zg0qRJWLp0qUV1iY+Px/Lly/HJJ5/g+PHjGDVqFJ5//nn8/vvvZu/jzjgBXUJW+Lxly5YWxUNUXvBSF1E5lJ+fDwAIDQ1FeHg4cnJyDNZXrlwZr7/+uv75K6+8gg0bNmDVqlUGHYq9vb0RHh6OgoIChIWFISAgwCbx37x5EzNmzMC4ceMwadIks7aZOHEi1q5di507dyI8PFy/fN68eYiLi8NLL70EABg9ejT27t2LefPmoW3btvpyAwcOxOeff45x48YBAD7//HMMHDgQ06dPNziOm5ubwf6Dg4MN1s+fPx/t27fXx12rVi2cOHECc+fORVxcnFl1yc3NxcyZM7F582a0aNECABAVFYWdO3di0aJFaN26tVn7uTPOwljvXkbkatjiQ1QOpaWlAQB8fHyKXa/RaDB9+nQ0bNgQwcHB8PX1xYYNG5CQkGBQ7qOPPoKvry+8vLzw5ZdfYtmyZQbrf/75Z/j6+uofw4YNK3Kso0ePwtfXFwEBAahbty5mzZpVYvzTpk1D27Zt8cgjj5hV34ULF+Kdd95B7dq1Ua1aNYN1J0+exMMPP2yw7OGHH8bJkycNlsXExCAwMBBbtmzB1q1b4efnh5iYGLOOb87xzp49C41Go182btw4g9du5cqV+nXnzp1DVlYWHnvsMYMyy5cvx/nz5w32fd999xmUISLT2OJDVA5duXIFABAREVHs+rlz5+K9997DggUL0LBhQ/j4+OC1115DXl6eQbl+/frhrbfeQk5ODpYtW4Y+ffrgxIkT+v5Ebdu2xccff6wvv2bNGsycOdNgH7Vr18aPP/4IjUaDvXv3YvDgwYiOjoabW/FfP2fPnsXnn3+OQ4cO4dKlS2bVd//+/fjf//6HuLg4LFq0CEOHDjVru7sNGTIEn332GaSUGDJkSKn2Ya6xY8catACNGzdOnxhlZGQAANavX4/KlSsbbKdWqw2e79ixA35+fvrnNWvWLKOIicoHtvgQlUN//PEH/Pz8UKNGjWLX79q1Cz169MDzzz+Pxo0bIyoqCmfOnClSLiAgANHR0WjQoAEmT56My5cvG/QD8vHxQXR0tP4RFhZWZB8eHh6Ijo5G7dq1ERsbi8aNG+s7WRdn3LhxePHFFxEdHW12fRcsWIAuXbrgo48+wtixYw1arurWrYtdu3YVqX+9evWK7Oe5557D5s2bsXnzZjz33HNmH/9Oxo5Xq1YtqFQq/bKQkBCD1+7O5KVevXpQq9VISEgwKBMdHY3IyEiDfVevXt1gPRGZxhYfonJEq9Xi559/xoQJEzBgwACDH9o71axZE99//z12796NoKAgzJ8/H8nJyUWSgaysLCQlJSE3NxfLli3T32llCSklcnJyoNFosG/fPpw4cQJjxowptuy5c+eQkJCAc+fOWXSMwn42vXv3xnfffYcXX3wRGzduBKBrWXn66afRpEkTdOjQAT/99BPWrFmDzZs3F9mPr68vPvnkE2i1WoNExBJjxozBgw8+iOnTp+OZZ57Bnj17sHDhQnz00Udm78PPzw+vv/46Ro0aBa1Wi0ceeQSpqanYtWsX/P39y7STeUZGhsHrf+HCBRw6dAjBwcGoUqVKmR2XyFaY+BCVI7du3cJLL72E2NjYIp1y7zRx4kT8/fff6NSpE7y9vTFkyBD07NkTqampBuU+++wzfPbZZ/Dw8EDNmjWxcuXKIn1oSnLkyBF4eXlBURRUrlwZY8aMwbPPPlvswHiZmZmYOnVqkQ7Dlli4cCHq16+PTz/9VF+v9957D/PmzcPIkSNRvXp1LFmyBG3atCl2+6eeeqrUxwZ0fYVWrVqFt99+G9OnT0elSpUwbdo0szs2F5o+fTpCQ0MRHx+Pv//+G4GBgYiJicGECRPuKb6S/PnnnwadvgsHkYyNjbX4zjQiRyRk4X2vREREROUc+/gQERGRy2DiQ0RERC6DiQ8RERG5DCY+RERE5DKY+BAREZHLYOJDRERELoOJDxEREbkMJj5ERETkMpj4EBERkctg4kNEREQug4kPERERuQwmPkREROQy/h943FKsrJK7GAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "plt.scatter(X_pca[:, 0], X_pca[:, 1], c=labels_kmeans)\n", + "plt.xlabel('Главный компонент 1')\n", + "plt.ylabel('Главный компонент 2')\n", + "plt.title('Визуализация кластеров (K-Means)')\n", + "plt.show()" + ] } ], "metadata": {