{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Лабораторная работа 5\n", "\n", "Определение бизнес-цели для решения задачи кластеризации\n", "\n", "Бизнес-цель: Идентификация временных периодов с похожими рыночными условиями на основе исторических данных о ценах акций.\n", "\n", "Постановка задачи:Группировка временных периодов (например, дней) на основе схожих характеристик рыночной активности.\n", " \n", "Столбцы датасета и их пояснение:\n", "\n", "Date - Дата, на которую относятся данные. Эта характеристика указывает конкретный день, в который происходила торговля акциями Starbucks.\n", "\n", "Open - Цена открытия. Стоимость акций Starbucks в начале торгового дня. Это важный показатель, который показывает, по какой цене начались торги в конкретный день, и часто используется для сравнения с ценой закрытия для определения дневного тренда.\n", "\n", "High- Максимальная цена за день. Наибольшая цена, достигнутая акциями Starbucks в течение торгового дня. Эта характеристика указывает, какой была самая высокая стоимость акций за день.\n", "\n", "Low- Минимальная цена за день. Наименьшая цена, по которой торговались акции Starbucks в течение дня.\n", "\n", "Close- Цена закрытия. Стоимость акций Starbucks в конце торгового дня. Цена закрытия — один из основных показателей, используемых для анализа акций, так как она отображает итоговую стоимость акций за день и часто используется для расчета дневных изменений и трендов на длительных временных периодах.\n", "\n", "Adj Close - Скорректированная цена закрытия. Цена закрытия, скорректированная с учетом всех корпоративных действий.\n", "\n", "Volume- Объем торгов. Количество акций Starbucks, проданных и купленных в течение дня. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Загрузка данных датасета" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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DateOpenHighLowCloseAdj CloseVolume
01992-06-260.3281250.3476560.3203130.3359380.260703224358400
11992-06-290.3398440.3671880.3320310.3593750.27889158732800
21992-06-300.3671880.3710940.3437500.3476560.26979734777600
31992-07-010.3515630.3593750.3398440.3554690.27586018316800
41992-07-020.3593750.3593750.3476560.3554690.27586013996800
........................
80312024-05-1775.26999778.00000074.91999877.84999877.84999814436500
80322024-05-2077.68000078.32000076.70999977.54000177.54000111183800
80332024-05-2177.55999878.22000177.50000077.72000177.7200018916600
80342024-05-2277.69999781.01999777.44000280.72000180.72000122063400
80352024-05-2380.09999880.69999779.16999879.26000279.2600024651418
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8036 rows × 7 columns

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" ], "text/plain": [ " Date Open High Low Close Adj Close \\\n", "0 1992-06-26 0.328125 0.347656 0.320313 0.335938 0.260703 \n", "1 1992-06-29 0.339844 0.367188 0.332031 0.359375 0.278891 \n", "2 1992-06-30 0.367188 0.371094 0.343750 0.347656 0.269797 \n", "3 1992-07-01 0.351563 0.359375 0.339844 0.355469 0.275860 \n", "4 1992-07-02 0.359375 0.359375 0.347656 0.355469 0.275860 \n", "... ... ... ... ... ... ... \n", "8031 2024-05-17 75.269997 78.000000 74.919998 77.849998 77.849998 \n", "8032 2024-05-20 77.680000 78.320000 76.709999 77.540001 77.540001 \n", "8033 2024-05-21 77.559998 78.220001 77.500000 77.720001 77.720001 \n", "8034 2024-05-22 77.699997 81.019997 77.440002 80.720001 80.720001 \n", "8035 2024-05-23 80.099998 80.699997 79.169998 79.260002 79.260002 \n", "\n", " Volume \n", "0 224358400 \n", "1 58732800 \n", "2 34777600 \n", "3 18316800 \n", "4 13996800 \n", "... ... \n", "8031 14436500 \n", "8032 11183800 \n", "8033 8916600 \n", "8034 22063400 \n", "8035 4651418 \n", "\n", "[8036 rows x 7 columns]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.cluster.hierarchy import dendrogram, linkage, fcluster\n", "from sklearn.cluster import KMeans\n", "from sklearn.decomposition import PCA\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.metrics import silhouette_score\n", "\n", "df = pd.read_csv(\"data/starbucks.csv\")\n", "df " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Предобработка данных" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Загрузка и предобработка данных\n", "data = pd.read_csv(\"data/starbucks.csv\")\n", "features = ['Open', 'High', 'Low', 'Close', 'Adj Close', 'Volume']\n", "\n", "# Масштабируем числовые данные\n", "scaler = StandardScaler()\n", "data_scaled = scaler.fit_transform(data[features])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Выполним понижение размерности с помощью PCA\n", "\n", "Используем метод анализа главных компонент (PCA) для сокращения размерности данных до двух измерений. Это позволяет визуализировать данные на плоскости и понять их структуру. Также построим график, показывающий расположение объектов в пространстве двух главных компонент." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collecting seaborn\n", " Using cached seaborn-0.13.2-py3-none-any.whl.metadata (5.4 kB)\n", "Requirement already satisfied: numpy!=1.24.0,>=1.20 in c:\\users\\ateks\\courses\\courses\\.venv\\lib\\site-packages (from seaborn) (2.1.3)\n", "Requirement already satisfied: pandas>=1.2 in c:\\users\\ateks\\courses\\courses\\.venv\\lib\\site-packages (from seaborn) (2.2.3)\n", "Requirement already satisfied: matplotlib!=3.6.1,>=3.4 in c:\\users\\ateks\\courses\\courses\\.venv\\lib\\site-packages (from seaborn) (3.9.3)\n", "Requirement already satisfied: contourpy>=1.0.1 in c:\\users\\ateks\\courses\\courses\\.venv\\lib\\site-packages (from matplotlib!=3.6.1,>=3.4->seaborn) (1.3.1)\n", "Requirement already satisfied: cycler>=0.10 in 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c:\\users\\ateks\\courses\\courses\\.venv\\lib\\site-packages (from matplotlib!=3.6.1,>=3.4->seaborn) (2.9.0.post0)\n", "Requirement already satisfied: pytz>=2020.1 in c:\\users\\ateks\\courses\\courses\\.venv\\lib\\site-packages (from pandas>=1.2->seaborn) (2024.2)\n", "Requirement already satisfied: tzdata>=2022.7 in c:\\users\\ateks\\courses\\courses\\.venv\\lib\\site-packages (from pandas>=1.2->seaborn) (2024.2)\n", "Requirement already satisfied: six>=1.5 in c:\\users\\ateks\\courses\\courses\\.venv\\lib\\site-packages (from python-dateutil>=2.7->matplotlib!=3.6.1,>=3.4->seaborn) (1.16.0)\n", "Using cached seaborn-0.13.2-py3-none-any.whl (294 kB)\n", "Installing collected packages: seaborn\n", "Successfully installed seaborn-0.13.2\n", "Note: you may need to restart the kernel to use updated packages.\n" ] } ], "source": [ "%pip install seaborn ##не устанавливается из консоли :(" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { 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+/fTToIcE1cT69euxadMmREdH4/3330dMTIxnX3JyMt5//30AruFl7vcM4LpCXlxcjCFDhuCll16C0Wj0edyUlJSAPVrBfIYLCgrw5ptvwmw2Y9GiRWjTpo3P/ttuuw3jxo1DYWEh/vOf/1TvoM/Ba6+9BgCYOnWqz9V6SZIwbdo0dO7cGUVFRfjggw9qNY6zfZe73Xzzzfjss8+Qm5uLQYMG4dixY5Vuk52djUGDBuHkyZP4z3/+g5tuuqnSbX744Qf88ssv6Nq1K+bOnevp+QRcfx9eeeUVXHrppVi9ejV+++23cz/AALZt24b33nsPl112Gf72t7/5vY37fdq3b1+kpqaG9PnHjRuHgQMH+mx7/PHHcfnll6O4uBgffvihz76afK/5+7sDnP47fObfHbfWrVtj6NCh+OKLL3x6QgoKCvCf//wHQ4cO9dvLp2maZ8jiggUL0LlzZ5/9/fr181QFfu+99/w+d7DtUlPuz9+DDz5YafTKvffei5tvvhmKouCtt97ybD958iTeeecdAK627tKli8/9JEnCNddc4xlJEUplZWWYPHkyYmJiPNM+GhoOt6ujxo4d67frt127dli0aJHPH/tzlZ+fj//+978AUKkb95577sG7776Lr776Cm+//bbPHw8AeOmll/DSSy/V+LnPHFZmtVpx6NAhbNmyBc8//zzi4+MrxeTP//73PyxduhTXXXcdbr311ipve+zYMTz99NPQNA25ubn4+eefYbVa8Ze//AUXX3yx53ZRUVG4//778dJLL2HOnDl4+eWXPftmz54NAPi///s/6HS6Ss+Rn5+P//3vf/jtt99QWFjoOXFyDx/Zu3ev39jc44YD/SGpjuPHj2P69Olo2rQpnn/++bNWJ3z44YdRWlqKoqIi/Prrrzh58iQ6dOiAu+66q9Jty8rKsHz5cuzYsQOnTp3ydLG7i3sEOq5Qqe6xtWvXDgCwePFi3HvvvZVOcs+Fe0hXdHR0UPeLdNuFW2JiIhYuXIg+ffpg0qRJAFyJw8KFC5GUlBSWGNxzsq6//no0bdq00v7u3bujS5cu2LlzJ9auXet5z3///fcAgPvvvz/o5wzmM7x69WpYrVZcc801aNGihd/bDBgwAO+++y42bNiAhx56KOh4qis7O9szHNDfMD1JkjB27FhMmjQJq1evxj/+8Y9aiSOY73IAGDlyJPbs2YPp06dj0KBBnuHngOsi4uDBg3HkyBFMnz7dZ3mLM58TcA2R9HchTZZl9OvXD7/99hs2bNhw1qF9NaFpGh588EEIITB79uyAQ4Ld320///wzcnJy0Lx585DFEGh45t/+9jds3boVa9asqfS61/R7beXKlfjss8+gKAoOHTqETZs2QZIkPPfccwHjmzBhApYsWYL333/fE8cHH3wAi8WCCRMm+B3yv2PHDuTk5KBdu3bo3r2738d1z6MJNM+wJu0SLKfT6ZmjGWiu0r333otvv/0Wq1ev9mxbvXo1HA4HunfvHvD4astzzz2HY8eO4aWXXkLLli3D+tzhwiSpjvJeJ8k9wfDKK6/E9ddf7/Mlnpyc7Pn3yZMna/RG/c9//gO73Y6ePXv6zK0BXCcRnTt3xq5du7BgwQLcd999NTwi//yVAAdcE2wHDhyIe++9F/Hx8bjtttsCPobNZsOECRNgMpnw9ttvn/U5CwsLfcZtGwwGTJ061e8E2QcffBCvvvoqPvroI0yfPh1msxl5eXn46quvYDKZ/LbHBx98gEmTJvmdH+Hmnlt2Jvc8rDPnRwTj0UcfRUlJCd5+++1qXT364osvfCYljxgxAh9++CHi4+N9brds2TKMHTvW7wRmt0DHFSrVPbbJkydj/vz5+Omnn9CqVStceeWVPnOSaqqoqAgWiwV6vb5S+1TlXNrO3dtaE1dffXWN7nfmc8bExKBdu3a45ZZbMHnyZE9RlbO5/PLLMW3aNDz99NMAgJkzZ1aaC1Kb3D0LZ/bQeGvXrh127tzp0wvh7jmu7ph8N0VRUFJSAlmWq/XZO3jwIADXCePZXmPvUQO1wX38jRs3Dvjedp+g++uxAapu5+oI9rsccBV4+OqrrwAAe/bswXXXXefZd91112HPnj0AXGsAPvXUU36TV/fr8Oyzz3p6QALx9zp8+umn51zg6MMPP8TmzZsxduxY9OrVK2CSdMstt6B79+7Ytm0bLrzwQvTv399nTtK5CPT6ubd797YC5/a99scff/i0WXJyMubOnVtlYjxgwAB07twZc+bMwRNPPAHAdcGyc+fOGDBggN9zCfdre+DAgRp/xoJtl7Pdz5/8/HzPKIVA9/P3+avpd9W5+v333zFr1ixcdNFFmDx5csAEs75jklRHnblOUiCXXXYZZFmGpmnYsmVLjZIk91C67Oxsv0NI3F8cH330UciTpEB69OiBcePG4Y033sDMmTOrTJJefvllHDx4EM8880zA4VfeLr30Uggh4HQ6kZWVhblz52LGjBk4dOhQpWFAaWlpuPXWW7Fw4UJ8+eWXGD16ND788EPY7XbcfffdPkkq4BouMW7cOOh0OsycORNDhgxBenq6pwLR+++/j3HjxgWsmOf+8qvp1cE1a9bgiy++wFVXXRVwuMaZTp06BSEEcnNzsWzZMkyePBkDBw7Ejz/+6CnccOzYMYwcORJWqxVPPPEE7rrrLrRu3RqxsbGQZRk//vgjrrvuuoDHFQrBHFu7du2we/duvPHGG5gzZ46np/Rc/fnnnwCA9PR0vz2I/pxr2/kr4uH2/fffIzc3N+BzX3fddX6H5JyteIX3c7p7XNeuXYvnn38eixcvxpYtWxAVFVXVYQNwnfS6T2AB+K0o1pDk5OQAcJ3w+euROJOmaQCACy644KxFLMJ9ElQTZxarcPvzzz+rVckw2O9ywJXY7N69Gw888ABSUlJ8eiJ27NiB6dOn48SJE5g7dy6mTp3qWS7Dm/t16Nu3r+dENBB/hYRqUlDEW35+Pv7xj3+gUaNGfuPzZjQasX79erzzzjt45513PMWGwsH7O+pcv9ceeughPPTQQ7BYLPjjjz8wbdo0jBw5Em+//Tb+7//+L2AMEydOxL333oslS5YAcC1dMnXq1IC3d7+2qampPgm0PzVdjzHQMZ7r56EuGz9+PJxOJ2bPnh3SkRp1DZOkeq5Ro0a46qqrsHbtWnz66afVGp7gbcuWLcjMzATg+tILdIUQcJ3g7N69O6hqc+fCPdb5jz/+CHibgwcPYubMmWjdunXQ3d16vR5t27bFK6+8ggMHDuCzzz7DbbfdhqFDh/rcbsKECVi4cCFmz56Nv/71r5g7dy4A+B368tVXX0EIgYcffthzpctboGpNbu5yvzVpY0VRMH78eOj1es9wwOqSJAmpqam47777PFdz//nPf3oqEy1btgxWqxXDhw/3+0f8bMd1rmpybM2bN8fgwYPxxhtvoH379ti+fTtiYmKwZs2aGvewuE/yL7/88mrf51zbLlBvK+C6slpVkvTUU0/5Lcm6Zs2aKpMkf8+ZlZWFHj16YPfu3ViyZIlnvmJVHnnkEWRkZKB///7Izs7G4sWL8a9//QsTJkw4631DwT2EzX012R/3Pu/hbunp6di7dy/27Nnj6dGvjmA/v+6LWhdddFFIq4PWhPv48/PzUVJS4rc3yV9beXvttdf8luz/5JNPznpSWJPv8g0bNuD1119H27Zt8eqrryImJgbFxcWYNWsWAGDSpEmYNm0aysrK8MMPP+C1117DsGHD0KtXL5/Hcb8Ot9xyCx577LFqPbe3vn37Bnz91qxZc9Yk6amnnkJ+fj7efffdShfe/HHPF545cybMZjO2bNniGQJ4Lj1Khw4dqlQ5Dji95EhaWppnW6j+JrgrrC5ZsgTp6emYOHEibrvttoAJy5133oknn3wS//rXvwC4ej79DQ13c7+2jRs3rvFnLJh28RbM56Fx48YwmUyw2+04ePBgpblTQODvKgCeHtNw+Pzzz7FmzRrccccduOaaa8L2vJHAwg0NgHsoy9KlSz1XVwIRQmD9+vWe390TDkeOHAkhRMAf91juQAUcaoN7fLy/KzFuEyZMgM1mw6xZs6p1ZTsQ9x8mfwlZnz590L17d2zZsgXPPPMMsrKycMUVV6BHjx6VbltQUAAAfieQ2mw2LFq0KGAM7rLEAAJelazKrFmz8Pvvv+Ohhx5Cp06dgr6/m7+2qOq4hBCeksi1pSbHlpubi9GjR8NgMOCLL74IyTw+9+sXTAnkSLddqKSnp3vWKTmzkIk/X3zxBd577z00bdoUCxYs8JS4fvzxx6tc7yOU3AlioB63HTt2ICMjwzPnxM39+gZboODHH38EUP3Pr7us+Jo1a/yuTRZOaWlpnl4UfyeTQgjP9ppeZKhKsN/lFosFY8aM8Sxf4f58e5ecfv311wG4/obMmzfPU+L8zLWxbrjhBgCnL3KF0+bNm/HRRx+he/fuGDduXLXuo2ka7r77bpw6dQqvvvpqyOZIffbZZ1Vu977gEurvNYPBgISEBDgcjoBLKQCuBPH+++/H+vXrsX79evz973+v8v1yxRVXoEmTJvj999+xe/fuoGJyC6Zdakqv13u+NwIlcx9//DEA38/fwIEDYTQasW3bNmzfvv2c4zibkpISPP7444iNjW0wy1ZUhUlSAzB48GA8+uijAIBRo0bhjTfegN1ur3S7bdu24brrrvNUULFYLFiwYAGAs6+x5B7e9J///MdThABwLUjaoUMHTJkyJSTH4rZ582ZP5alAk/NXrlyJ//3vf7jxxhvPWpwAcK0N4m/s9OrVqz1f6GfOyXJzr2vkLt4QaAK1u/DDp59+itLSUs92m82GBx98EIcOHfJ7P4fDgQkTJiAvLw8DBgwIemx/cXExZsyYgWbNmlU58dUtKyvL75W+rKwsPP/88wB828J9XF9//bVnQi4AqKqKqVOn1up45GCPDXD9kR49ejRyc3Px4osvolu3buccx3fffYc1a9YgKSkJI0eOrPb9Itl2oVRQUOBZPPFsa8Xs3bsX999/P2RZxueff47U1FR069YNr7/+OhwOB+644w4UFRXVesx9+/ZFz549YbVaMW7cOFgsFs++U6dOeU5KR40a5TNUefLkyYiLi8PSpUvxzDPP+HznAa75n94XmwBXgjR37lwYDAb89a9/rVZ8TZs2xcMPP4zy8nIMGTLE06vvzW63Y+nSpWG5UuzuRXn++ed91lESQuCFF15ARkYGEhMTQz7sOtjvcsDV+7J//35MnDjRJ8H17knx/nf//v0xYcIE7Nu3r9I6PLfccguuuOIKz5wgf3NTCgsLMXfu3EqLm58r99/u2bNnB6zsdqaZM2di1apVuPnmm0NazGPOnDmVFqB+8803sXnzZsTFxeHee+/1bK/p99r69esrnZ9omoY333wTe/fuhcFgOOtQywcffBA33XQTbrrpJowfP77K2xoMBkybNg1CCAwfPrzS59Yd86pVqwIuDhtMu5wL93thzpw5WLlypc++Tz75BEuXLoXBYPBZZzElJQUPPPAAAOD222+vVH1RCIFVq1ahuLg4JDG++uqrOH78OKZOnRqwR7kh4XC7BuK1115DUlISpk+fjkcffRTTp09Hz549kZKSgrKyMuzatcvTNexeqO6rr75CSUkJUlNTce2111b5+Ndddx2aNm2K3NxcLF26FCNGjADgqmCzd+9eny/JYOzZs8dn7pXVasXhw4exefNmAECXLl3wz3/+0+99s7OzYTabPd3uZ/PJJ5/g3XffRdeuXZGWlgadTod9+/Zh165dAFzlZP2VhwVcPW2PP/44cnNzkZycHPAkeezYsXjrrbewY8cOtGnTBldddRV0Op2ngt7EiRN9yncCrt65Z555BidOnECLFi0CliGtivuEc+7cudUqKLB9+3YMHz4cHTt2ROvWrREfH49jx47h119/hdPpRNu2bX2GCw4ZMsQzWbh9+/bo378/YmJisGnTJuTk5ODJJ5+sciz9wYMHAy4Q6B5C8P7772PTpk2VFlIM9tgA1x+wH374wecCQk2dOnUKDz74IJYsWQIhBBo1aoQHH3yw0u3cf3w//PBDrFmzxnM18FzbLhK8Xy/3nKT//e9/yM/PxyWXXFLl4olWqxW33347ysrKMG3aNJ/hGOPHj8eaNWvw9ddf45577sHixYtr/Vjmz5+PgQMH4ptvvkGbNm3Qr18/T69tSUkJunXr5imh65aeno6vv/4at912G1588UV8+OGH6NWrFwwGA44cOYIdO3bgzjvvRN++fXHkyBGMGDEC27ZtgyzLmDVrVrXn0wCuCy/Hjx/H/Pnz0bVrV3Tp0gVt27aFXq9HdnY2MjIyUF5ejuXLl9f6vKRx48Zhw4YN+Oyzz3D55Zejf//+nsVk9+7di6ioKMyfP79aQ8KCEex3+erVq/HOO++gffv2Af8++PPSSy9h+fLlePvttzF8+HBPD4Asy/jvf/+Lm266CZ9++qmnlHJ6ejocDgcOHjyIzMxMqKqKMWPGVGu+WXVlZ2fj73//e7ULmmzatAlTp05Famqqp2chVNylrq+66iq0aNECv/32GzIzM6HT6fDxxx/7zG+s6ffaQw89hCNHjqBTp05o3rw5LBYLMjIycPToUQDAiy++eNbqly1atMC3335b7eN66KGHkJWVhVdffRVXXXUVLrnkElxwwQWIiorCiRMnkJGRgaKiIsyZMwdXXnnlObXLubjhhhvwzDPP4IUXXsDgwYPRp08fpKenY8+ePdi+fTt0Oh3mzp1baTjvK6+8gkOHDmHp0qXo0qULevbsiTZt2uDUqVPYvXs3jh07hkOHDoWkDHh2djY6duyIRx555Jwfq14Ix2JMVH1VLSZbHYcPHxZTpkwRV1xxhWjcuLHQ6/UiISFBXHbZZWLixIli+/btntteddVVAoB47LHHqvXYjzzyiAAgbrjhBs+2c11M9swfnU4nkpKSxFVXXSXeeustvwvPuRdiAyCmTp3q9/HhZ3G0FStWiDvuuEO0bdtWxMTECL1eL1JSUsTgwYPFxx9/LJxOZ5Uxjxw5UgAQU6ZMqfJ2eXl54sEHHxTt2rUTJpNJNG/eXPz1r38V+/fv97uI3JNPPim6dOkinnnmmUqLNJ7tmNwLrqKKRdz8LSz6559/ivvuu09ceumlIjExUeh0OpGQkCB69OghZsyY4XfhudLSUvGPf/xDXHTRRcJsNouUlBQxbNgwsXXr1rMuTlrdH++FY2t6bNu3bxdGo1E0adLE76K+wS6Y6h1HMD+hartILCZ75k90dLTo1KmTePrpp30WNfW3wKB7Id+BAwcKVVUrPXdRUZFo27atACBmzZoV8Ni8ncuinUIIkZ+fL6ZMmSIuvvhiYTabRXR0tLjsssvEyy+/LCwWS8DHPHLkiJg4caLndYuNjRXt27cX99xzj/j111+FEEJkZGSI9PR0MWrUKPHLL78EfKyqFt4VwrUI9a233ipatGghDAaDSExMFBdffLEYNWqUmD9/vigvLw/42Gfy9x70FmgxWbf58+eLAQMGiMTERGEwGETLli3FmDFjxJ49e/ze/lwXkw3mu7ykpES0atVKyLIsNmzYUK37eNuwYYOQZVm0bt3aZ9FYIVwLnc6dO1dcffXVnr+fKSkpomvXrmL8+PHihx9+qNZxeTvbYrJJSUni1KlTle7n7zUqKSkRbdu2FZIkVVpstDrHHoj3febMmSO6du0qoqKiRHx8vLj++usDvq9r8r02Z84cce2114oWLVoIk8kkjEajaNWqlbjjjjvEqlWrKj1HddrY7WyfsV9++UXcddddolWrVsJkMom4uDjRvn17MWzYMPHhhx+KgoKCkLRLTT8PbsuXLxc33nij5z2Ympoqbr/99koL83rTNE3Mnz9fXHvttaJx48bCYDCI1NRUcdVVV4lXX31VWK3WgPetznvG3bYA/L5O57pIe10lCRHmAbhE9VBRURHS0tJgs9lw6NChBrsmQCQNGDAAhw8f9vR41hWHDx9GmzZtMG3aNL9l4s80ZswYfPrpp2Gf20BEVBPuYYn8zvLFdiHOSSKqhpdeegnl5eW44447mCARERERNXCck0QUwIYNG/Dxxx/j0KFDWLVqFaKjo/HCCy9EOqwG6/777w/Z5NJQatKkCebNm+e3BKw/f//730NS7YiIiIgih8PtiAL45JNPMHbsWERFRaFLly6YOXOmTxUlIiKi+o7DyvxjuxCTJCIiIiIiIi+ck0REREREROSFSRIREREREZGXBl+4QdM05OTkIC4uzmf1bSIiIiIiOr8IIVBaWormzZtDlgP3FzX4JCknJ4clm4mIiIiIyOPo0aNIS0sLuL/BJ0lxcXEAXA0RHx8f4WjqJ0VR8OOPP+Laa6+FwWCIdDgNGts6vNje4cO2Di+2d/iwrcOL7R0+DbWtS0pK0LJlS0+OEEiDT5LcQ+zi4+OZJNWQoiiIjo5GfHx8g/qQ1EVs6/Bie4cP2zq82N7hw7YOL7Z3+DT0tj7bNBwWbiAiIiIiIvLCJImIiIiIiMgLkyQiIiIiIiIvTJKIiIiIiIi8MEkiIiIiIiLywiSJiIiIiIjIC5MkIiIiIiIiL0ySiIiIiIiIvDBJIiIiIiIi8sIkiYiIiIiIyAuTJCIiIiIiIi9MkoiIiIiIiLwwSSIiIiIiIvLCJImIiIiIiMiLPtIBnA9siopF27Oxbl8ebIoGs0FGv/bJGNEtDWaDLtLhERERERGRF/Yk1TKbouLpJZlYmpEDxalBL0tQnBqW7czB00syYVPUSIdIRERERERemCTVskXbs5FdaEWsSQ9JkgAAkiQhxqjHsSIrFm3PjnCERERERETkjUlSLVu3Lw8xRv9D6qINOqzblxfmiIiIiIiIqCpMkmqZTdE8PUhnkiQJNkULc0RERERERFQVJkm1zGyQIYTwu08IAbOBLwERERERUV3CM/Ra1q99MiwBijNYFBX92ieHOSIiIiIiIqoKk6RaNqJbGlokRqHc4fT0KAkhUO5wIi0xCiO6pUU4QiIiIiIi8sYkqZaZDTq8OLwThnRpDoNehlMTMOhlDOnSHC8M78R1koiIiIiI6hguJhsGZoMOd/Vshbt6top0KEREREREdBbsSSIiIiIiIvLCJImIiIiIiMgLkyQiIiIiIiIvTJKIiIiIiIi8MEkiIiIiIiLywiSJiIiIiIjIS51Jkl5++WVIkoRHHnnEs81ms2H8+PFo3LgxYmNjMWLECOTm5kYuSCIiIiIiavDqRJK0ZcsWvPfee+jcubPP9kmTJmHZsmX46quvsHbtWuTk5ODWW2+NUJRERERERHQ+iHiSVFZWhrvuugsffPABGjVq5NleXFyMjz76CG+88QYGDhyI7t27Y968ediwYQM2btwYwYiJiIiIiKgh00c6gPHjx+Omm27CoEGD8MILL3i2b9u2DYqiYNCgQZ5tHTp0QHp6On799VdceeWVfh/PbrfDbrd7fi8pKQEAKIoCRVFq6SgaNne7sf1qH9s6vNje4cO2Di+2d/iwrcOL7R0+DbWtq3s8EU2SFixYgO3bt2PLli2V9p04cQJGoxGJiYk+25s2bYoTJ04EfMyXXnoJzz33XKXtP/74I6Kjo8855vPZihUrIh3CeYNtHV5s7/BhW4cX2zt82NbhxfYOn4bW1haLpVq3i1iSdPToUUycOBErVqyA2WwO2eNOmTIFkydP9vxeUlKCli1b4tprr0V8fHzInud8oigKVqxYgcGDB8NgMEQ6nAaNbR1ebO/wYVuHF9s7fNjW4cX2Dp+G2tbuUWZnE7Ekadu2bTh58iS6devm2aaqKtatW4d33nkHP/zwAxwOB4qKinx6k3Jzc5GamhrwcU0mE0wmU6XtBoOhQb3AkcA2DB+2dXixvcOHbR1ebO/wYVuHF9s7fBpaW1f3WCKWJF1zzTXIzMz02TZ27Fh06NABTz75JFq2bAmDwYCVK1dixIgRAIC9e/ciKysLvXr1ikTIRERERER0HohYkhQXF4dLL73UZ1tMTAwaN27s2X7vvfdi8uTJSEpKQnx8PB5++GH06tUrYNEGIiIiIiKicxXx6nZVefPNNyHLMkaMGAG73Y7rrrsO7777bqTDIiIiIiKiBqxOJUlr1qzx+d1sNmP27NmYPXt2ZAIiIiIiIqLzTsQXkyUiIiIiIqpLmCQRERERERF5YZJERERERETkhUkSERERERGRFyZJREREREREXpgkEREREREReWGSRERERERE5IVJEhERERERkRcmSURERERERF6YJBEREREREXlhkkREREREROSFSRIREREREZEXJklERERERERemCQRERERERF5YZJERERERETkhUkSERERERGRFyZJREREREREXpgkEREREREReWGSRERERERE5IVJEhERERERkRcmSURERERERF6YJBEREREREXlhkkREREREROSFSRIREREREZEXJklERERERERemCQRERERERF5YZJERERERETkhUkSERERERGRFyZJREREREREXpgkEREREREReWGSRERERERE5IVJEhERERERkRcmSURERERERF6YJBEREREREXlhkkREREREROSFSRIREREREZEXJklERERERERemCQRERERERF5YZJERERERETkhUkSERERERGRFyZJREREREREXpgkEREREREReWGSRERERERE5IVJEhERERERkRcmSURERERERF6YJBEREREREXlhkkREREREROSFSRIREREREZEXJklERERERERemCQRERERERF5YZJERERERETkhUkSERERERGRFyZJREREREREXpgkEREREREReWGSRERERERE5IVJEhERERERkRcmSURERERERF6YJBEREREREXlhkkREREREROSFSRIREREREZEXJklERERERERemCQRERERERF5YZJERERERETkhUkSERERERGRFyZJREREREREXpgkEREREREReWGSRERERERE5IVJEhERERERkRcmSURERERERF6YJBEREREREXlhkkREREREROSFSRIREREREZEXJklERERERERemCQRERERERF5YZJERERERETkhUkSERERERGRFyZJREREREREXpgkEREREREReWGSRERERERE5IVJEhERERERkRcmSURERERERF6YJBEREREREXlhkkREREREROSFSRIREREREZEXJklERERERERemCQRERERERF5YZJERERERETkJaJJ0pw5c9C5c2fEx8cjPj4evXr1wvLlyz37bTYbxo8fj8aNGyM2NhYjRoxAbm5uBCMmIiIiIqKGLqJJUlpaGl5++WVs27YNW7duxcCBA3HLLbdg9+7dAIBJkyZh2bJl+Oqrr7B27Vrk5OTg1ltvjWTIRERERETUwOkj+eRDhgzx+f3FF1/EnDlzsHHjRqSlpeGjjz7C/PnzMXDgQADAvHnzcPHFF2Pjxo248sorIxEyERERERE1cBFNkrypqoqvvvoK5eXl6NWrF7Zt2wZFUTBo0CDPbTp06ID09HT8+uuvAZMku90Ou93u+b2kpAQAoCgKFEWp3YNooNztxvarfWzr8GJ7hw/bOrzY3uHDtg4vtnf4NNS2ru7xSEIIUcuxVCkzMxO9evWCzWZDbGws5s+fjxtvvBHz58/H2LFjfRIeAOjRoweuvvpqzJw50+/jTZ8+Hc8991yl7fPnz0d0dHStHAMREREREdV9FosFd955J4qLixEfHx/wdhHvSbrooouQkZGB4uJifP311xg9ejTWrl1b48ebMmUKJk+e7Pm9pKQELVu2xLXXXltlQ1BgiqJgxYoVGDx4MAwGQ6TDadDY1uHF9g4ftnV4sb3Dh20dXmzv8Gmobe0eZXY2EU+SjEYjLrjgAgBA9+7dsWXLFrz11lsYOXIkHA4HioqKkJiY6Ll9bm4uUlNTAz6eyWSCyWSqtN1gMDSoFzgS2Ibhw7YOL7Z3+LCtw4vtHT5s6/Bie4dPQ2vr6h5LnVsnSdM02O12dO/eHQaDAStXrvTs27t3L7KystCrV68IRkhERERERA1ZRHuSpkyZghtuuAHp6ekoLS3F/PnzsWbNGvzwww9ISEjAvffei8mTJyMpKQnx8fF4+OGH0atXL1a2IyIiIiKiWhPRJOnkyZP429/+huPHjyMhIQGdO3fGDz/8gMGDBwMA3nzzTciyjBEjRsBut+O6667Du+++G8mQiYiIiIiogYtokvTRRx9Vud9sNmP27NmYPXt2mCIiIiIiIqLzXZ2bk0RERERERBRJTJKIiIiIiIi8MEkiIiIiIiLywiSJiIiIiIjIC5MkIiIiIiIiL0ySiIiIiIiIvDBJIiIiIiIi8sIkiYiIiIiIyEtQSdK7776LQYMG4Y477sDKlSt99p06dQpt27YNaXBEREREREThVu0k6V//+hcef/xxdOjQASaTCTfeeCNeeuklz35VVXHkyJFaCZKIiIiIiChc9NW94XvvvYcPPvgAd955JwDggQcewLBhw2C1WjFjxoxaC5CIiIiIiCicqp0kHTp0CL179/b83rt3b6xatQqDBg2Coih45JFHaiM+IiIiIiKisKp2ktSkSRMcPXoUrVu39my79NJLsWrVKgwcOBA5OTm1ER8REREREVFYVXtOUt++fbF48eJK2zt27IiVK1di+fLlIQ2MiIiIiIgoEqrdk/TUU09h27ZtfvddcsklWLVqFRYtWhSywIiIiIiIiCKh2klS586d0blz54D7L730Ulx66aUhCYqIiIiIiChSuJgsERERERGRFyZJREREREREXpgkEREREREReWGSRERERERE5IVJEhERERERkZdqV7fz9vXXX2PhwoXIysqCw+Hw2bd9+/aQBEZERERERBQJQfck/etf/8LYsWPRtGlT7NixAz169EDjxo1x8OBB3HDDDbURIxERERERUdgEnSS9++67eP/99/H222/DaDTiiSeewIoVKzBhwgQUFxfXRoxERERERERhE3SSlJWVhd69ewMAoqKiUFpaCgC4++678cUXX4Q2OiIiIiIiojALOklKTU1FQUEBACA9PR0bN24EABw6dAhCiNBGR0REREREFGZBJ0kDBw7E0qVLAQBjx47FpEmTMHjwYIwcORLDhw8PeYBEREREREThFHR1u/fffx+apgEAxo8fj8aNG2PDhg0YOnQoxo0bF/IAiYiIiIiIwinoJCk7OxstW7b0/D5q1CiMGjUqpEERERERERFFStDD7dq0aYO8vLzaiIWIiIiIiCjigk6SWJyBiIiIiIgasqCH2wGuIXc2m83vvvT09HMKiIiIiIiIKJJqlCRdccUVlbYJISBJElRVPeegiIiIiIiIIqVGSdKmTZuQnJwc6liIiIiIiIgiLugkSZIkpKenIyUlpTbiISIiIiIiiigWbiAiIiIiIvISdJJ06NAhDrUjIiIiIqIGK+jhdsXFxcjMzAy4v3PnzucUEBERERERUSQFnSR17doVkiR5qtm5sbodERERERE1BEEnSYcOHQLgSoouvfRSfPfdd2jVqlXIAyMiIiIiIoqEoJMk74RIkiSkpaUxSSIiIiIiogYj6MINREREREREDdk5JUmSJPnMSyIiIiIiIqrvgh5u16hRI09iVFZWhssuuwyyfDrXKigoCF10REREREREYRZ0kjRr1qxaCIOIiIiIiKhuCDpJGj16dG3EQUREREREVCfUaE7SgQMH8Mwzz+Avf/kLTp48CQBYvnw5du/eHdLgiIiIiIiIwi3oJGnt2rXo1KkTNm3ahMWLF6OsrAwAsHPnTkybNi3kARIREREREYVT0EnSU089hRdeeAErVqyA0Wj0bB84cCA2btwY0uCIiIiIiIjCLegkKTMzE8OHD6+0PSUlBadOnQpJUERERERERJESdJKUmJiI48ePV9q+Y8cOtGjRIiRBERERERERRUrQSdKoUaPw5JNP4sSJE5AkCZqm4ZdffsFjjz2Gv/3tb7URIxERERERUdgEnST985//RIcOHdCyZUuUlZWhY8eO6NevH3r37o1nnnmmNmIkIiIiIiIKm6DXSTIajfjggw/w7LPP4rfffkNZWRkuu+wyXHjhhbURHxERERERUVgFnSS5paenIz09PZSxEBERERERRVzQSdLkyZOr3P/GG2/UOBgiIiIiIqJICzpJ2rFjh+ff69evR/fu3REVFQUAkCQpdJERERERERFFQNBJ0urVqz3/jouLw/z589G2bduQBkVERERERBQpQVe3IyIiIiIiasiYJBEREREREXkJerjd0qVLPf/WNA0rV67Eb7/95tk2dOjQ0ERGREREREQUAUEnScOGDfP5fdy4cZ5/S5IEVVXPOSgiIiIiIqJICTpJ0jStNuIgIiIiIiKqEzgniYiIiIiIyEuNkqS1a9diyJAhuOCCC3DBBRdg6NCh+Pnnn0MdGxERERERUdgFnST95z//waBBgxAdHY0JEyZgwoQJiIqKwjXXXIP58+fXRoxERERERERhE/ScpBdffBGvvPIKJk2a5Nk2YcIEvPHGG3j++edx5513hjRAIiIiIiKicAq6J+ngwYMYMmRIpe1Dhw7FoUOHQhIUERERERFRpASdJLVs2RIrV66stP2nn35Cy5YtQxIUERERERFRpAQ93O7RRx/FhAkTkJGRgd69ewMAfvnlF3zyySd46623Qh4gERERERFROAWdJD3wwANITU3F66+/joULFwIALr74Ynz55Ze45ZZbQh4gERERERFROAWdJAHA8OHDMXz48FDHQkREREREFHFcTJaIiIiIiMhL0D1JSUlJVe4vKCiocTBERERERESRFnSSVFRUhFmzZiEhIaE24iEiIiIiIoqoGs1JGjVqFFJSUkIdCxERERERUcRxThIREREREZGXoJMkSZIgSVJtxEJERERERBRxQQ+3E0JgzJgxMJlMfvcvXrz4nIMiIiIiIiKKlKCTpNGjR9dGHERERERERHVC0EnSvHnzaiMOIiIiIiKiOoGFG4iIiIiIiLwE3ZPUtm3bKvcfPHiwxsEQERERERFFWtBJ0uHDh5GWloa7776bayURNUA2RcWi7dlYty8PNkWD2SCjX/tkjOiWBrNBF+nwiIiIiGpd0ElSRkYG3nvvPbz//vsYMGAA7r//fgwePLg2YiOiMLMpKp5ekonsQitijDroZQmKU8OynTnYfqQQLw7vxESJiIiIGryg5yR17twZs2fPRlZWFm688UY8++yzuOCCC7BixYraiI+IwmjR9mxkF1oRa9J71kOTJAkxRj2OFVmxaHt2hCMkIiIiqn01LtwQFRWF/v374+qrr8apU6eQnc2TJ6L6bt2+PMQY/fcURRt0WLcvL8wREREREYVf0EmS0+nEwoULMWjQIPTr1w86nQ4ZGRkYO3Zs0E/+0ksv4YorrkBcXBxSUlIwbNgw7N271+c2NpsN48ePR+PGjREbG4sRI0YgNzc36OciorOzKZqnB+lMkiTBpmhhjoiIiIgo/IJOklq0aIHHHnsMffv2xdKlS3HHHXegpKQEu3btwq5du4J6rLVr12L8+PHYuHEjVqxYAUVRcO2116K8vNxzm0mTJmHZsmX46quvsHbtWuTk5ODWW28NNmwiqgazQYYQwu8+IQTMBq4aQERERA1f0IUb8vJcw21mzJiB559/HgA8J1WSJEFV1Wo/1vfff+/z+yeffIKUlBRs27YN/fr1Q3FxMT766CPMnz8fAwcOBOBazPbiiy/Gxo0bceWVVwYbPhFVoV/7ZCzbmYMYY+WvBouiYkjHphGIioiIiCi8gk6SDh06VBtxAACKi4sBAElJSQCAbdu2QVEUDBo0yHObDh06ID09Hb/++qvfJMlut8Nut3t+LykpAQAoigJFUWot9obM3W5sv9oX6ba+pVNT7DySj5xiK6L1OkiSBCEELE4VrRKjcEunpg3qfRDp9j6fsK3Di+0dPmzr8GJ7h09DbevqHo8kAo2tCTNN0zB06FAUFRVh/fr1AID58+dj7NixPkkPAPTo0QNXX301Zs6cWelxpk+fjueee67S9vnz5yM6Orp2giciIiIiojrPYrHgzjvvRHFxMeLj4wPeLuieJAA4cOAAZs2ahT/++AMA0LFjR0ycOBHt2rWrWbQAxo8fj99++82TINXUlClTMHnyZM/vJSUlaNmyJa699toqG4ICUxQFK1aswODBg2EwGCIdToPGtg4vtnf4sK3Di+0dPmzr8GJ7h09DbWv3KLOzCTpJ+uGHHzB06FB07doVffr0AQD88ssvuOSSS7Bs2bIaLSz70EMP4dtvv8W6deuQlpbm2Z6amgqHw4GioiIkJiZ6tufm5iI1NdXvY5lMJphMpkrbDQZDg3qBI4FtGD5s6/Bie4cP2zq82N7hw7YOL7Z3+DS0tq7usQSdJD311FOYNGkSXn755Urbn3zyyaCSJCEEHn74YSxZsgRr1qxBmzZtfPZ3794dBoMBK1euxIgRIwAAe/fuRVZWFnr16hVs6ERERERERGcVdJL0xx9/YOHChZW233PPPZg1a1ZQjzV+/HjMnz8f33zzDeLi4nDixAkAQEJCAqKiopCQkIB7770XkydPRlJSEuLj4/Hwww+jV69erGxHRERERES1IugkKTk5GRkZGbjwwgt9tmdkZCAlJSWox5ozZw4AYMCAAT7b582bhzFjxgAA3nzzTciyjBEjRsBut+O6667Du+++G2zYRERERERE1RJ0knTffffh/vvvx8GDB9G7d28ArjlJM2fO9CmYUB3VKaxnNpsxe/ZszJ49O9hQiYiIiIiIghZ0kvTss88iLi4Or7/+OqZMmQIAaN68OaZPn44JEyaEPEAiIiIiIqJwCjpJkiQJkyZNwqRJk1BaWgoAiIuLC3lgREREREREkSAHewfvVWrj4uJ8EqSffvopNFERERERERFFSNBJ0k033QSr1eqzraysDPfddx+GDRsWqriIiIiIiIgiIugkSdM0XHPNNSguLgYArFixApdccgn27NmDHTt2hDxAIiIiIiKicAo6Sfruu+/QtGlT9OvXD3//+98xbNgwTJw4EevWratUFpyIiIiIiKi+Cbpwg9FoxKJFizBmzBjMmzcPy5cvx7XXXlsbsREREREREYVd0EnSrl27AACPPvoojh8/jr///e/47LPP0KhRIwBA586dQxshERERERFRGAWdJHXt2hWSJAE4vRjs1VdfDcBVHlxV1RCGR0REREREFF5BJ0mHDh2qjTiIiIiIiIjqhKCTpFatWtVGHERERERERHVC0NXtiIiIiIiIGjImSURERERERF6YJBEREREREXlhkkREREREROQl6MINJSUlVe6Pj4+vcTBERERERESRFnSSlJiY6FknyZsQguskERERERFRvRd0kgQAX3/9NZKSkiCEwI033ogPP/wQLVq0CHVsREREREREYVejJKlPnz5ISUkBAOh0OnTr1g0dOnQIaWBERERERESREHThhqSkJGRnZwMACgsLYbFYcPPNN2Pnzp0hD46IiIiIiCjcgk6S+vXrhzFjxuDll1/GLbfcgu7du2Py5Mno378/Pvnkk1oIkYiIiIiIKHyCTpLeffddXHrppfjss88QHx+Pzz//HA8++CC+//57TJ06tTZiJCIiIiIiCpug5ySlpqZi/vz5lbZfeeWV2L59e0iCIiIiIiIiipSQLibbpEmTUD4cERERERFR2NWoul12djaWLl2KrKwsOBwOn31vvPFGSAIjIiIiIiKKhKCTpJUrV2Lo0KFo27Yt9uzZg0svvRSHDx+GEALdunWrjRiJiIiIiIjCJujhdlOmTMFjjz2GzMxMmM1mLFq0CEePHkX//v1x++2310aMREREREREYRN0kvTHH3/gb3/7GwBAr9fDarUiNjYWM2bMwMyZM0MeIBERERERUTgFnSTFxMR45iE1a9YMBw4c8Ow7depU6CIjIiIiIiKKgKDnJF155ZVYv349Lr74Ytx444149NFHkZmZicWLF+PKK6+sjRiJiIiIiIjCJugk6Y033kBZWRkA4LnnnkNZWRm+/PJLXHjhhaxsR0RERERE9V7QSVLbtm09/46JicHcuXNDGhAREREREVEk1WidJCKiULIpKhZtz8a6fXmwKRrMBhn92idjRLc0mA26SIdHRERE55mgk6RGjRpBkqSA+wsKCs4pICI6v9gUFU8vyUR2oRUxRh30sgTFqWHZzhxsP1KIF4d3YqJEREREYRV0kjRr1iwAgBACDzzwAGbMmIGUlJRQx0VE54lF27ORXWhFrOn015EkSYgx6nGsyIpF27NxV89WEYyQiIiIzjdBJ0mjR4/2/Pvhhx/GiBEjfOYpEREFY92+PMQY/fcURRt0WLcvj0kSERERhVXQ6yQREYWSTdECDuGVJAk2RQtzRERERHS+O+fCDVXNTyIiOhuzQYbi1KABOF5sQ0GZHaoAdBLQKMaIVo2jIx0iERERnWeCTpJuvfVWz79tNhv+7//+DzExMZ5tixcvDk1kRHRe6Nc+Gd/sOIasAitsigqdLEEGoAlX0hRj1MGmqCzeQERERGET9HC7hIQEz89f//pXNG/e3GcbEVEwRnRLg6IKlDuc0EmABFdhGFXTEGPUw6CTsWh7dqTDJCIiovNI0D1J8+bNq404iOg8ZTbo0DjWCIvDjIJyB1QhoJMlNIkxo1mCGbIEFm8gIiKisDrnOUllZWXYvHkzLrjgAqSnp4ciJiI6zyiqQFqjaKQ18j//iMUbiIiIKJyCHm73ww8/oFmzZrj44ouxadMmXHzxxRg0aBAuvPBCLFq0qDZiJKIGzmyQIYTwu08IAbOBhTiJiIgofII+83jqqacwaNAg3HjjjRg6dCjuvPNOlJaW4umnn8Zzzz1XGzESUQPXr30yLIrqd59FUdGvfXKYIyIiIqLzWdBJ0t69ezFjxgzMnDkThYWFGD16NGJiYjB69Gjs37+/NmIkogZuRLc0tEiMQrnD6elREsJVzCEtMQojuqVFOEIiIiI6nwSdJNlsNsTGxkKv18NkMiEqKgoAYDab4XA4Qh4gETV8ZoMOLw7vhCFdmsOgl+HUBAx6GUO6NMcLwzux/DcRERGFVY0KNzz77LOIjo6Gw+HACy+8gISEBFgsllDHRkTnEbNBh7t6tmIVOyIiIoq4oJOkfv36Ye/evQCA3r174+DBgz77iIiIiIiI6rOgk6Q1a9bUQhhERERERER1A+vqEhEREREReanRnKStW7di4cKFyMrKqlSsYfHixSEJjIiIiIiIKBKC7klasGABevfujT/++ANLliyBoijYvXs3Vq1ahYSEhNqIkYiIiIiIKGyCTpL++c9/4s0338SyZctgNBrx1ltvYc+ePbjjjjuQnp5eGzESERERERGFTdBJ0oEDB3DTTTcBAIxGI8rLyyFJEiZNmoT3338/5AESERERERGFU9BJUqNGjVBaWgoAaNGiBX777TcAQFFREddKIiIiIiKieq9G6yStWLECnTp1wu23346JEydi1apVWLFiBa655praiJGIiIiIiChsgk6S3nnnHdhsNgDA008/DYPBgA0bNmDEiBF45plnQh4gERERERFROAWdJCUlJXn+LcsynnrqqZAGREREREREFElBJ0m7du2qcn/nzp1rHAwREREREVGkBZ0kde3aFZIkQQhRaZ8kSVBVNSSBERERERERRULQSRIAbNq0CcnJyaGOhYiIiIiIKOJqlCSlp6cjJSUl1LEQERERERFFXI2SpB9++AFNmjRBTEwMmjdvjnbt2kGSpFDHRkREREREFHY1SpJGjx7t+bckSYiLi8Po0aPx2muvwWAwhCw4IiIiIiKicAs6SdI0DQCgKApKSkqQk5ODzZs34+mnn0Z0dDReeumlkAdJREREREQULjXqSQIAg8GAxo0bo3HjxujUqROSk5Mxfvx4JklERERERFSvyaF6oCFDhmDnzp2hejgiIiIiIqKIqHaSdP/996OsrCzgfkmSkJSUFJKgiIiIiIiIIqXaSdJHH30Ei8VSm7EQERERERFFXLWTJCFEbcZBRERERERUJ4RsThIREREREVFDUO0kSZIkLhhLREREREQNXrVLgAshMGbMGJhMpipvt3jx4nMOioiIiIiIKFKqnSSNHj26NuMgIiIiIiKqE6qdJM2bN6824yAiIiIiIqoTWLiBiIiIiIjIC5MkIiIiIiIiL0ySiIiIiIiIvDBJIiIiIiIi8sIkiYiIiIiIyAuTJCIiIiIiIi9MkoiIiIiIiLwwSSIiIiIiIvLCJImIiIiIiMgLkyQiIiIiIiIvTJKIiIiIiIi8RDRJWrduHYYMGYLmzZtDkiT897//9dkvhMDUqVPRrFkzREVFYdCgQdi/f39kgiUiqoJNUfH5piMY99lWjP54M8Z9thWfbzoCm6JGOjQiIiIKUkSTpPLycnTp0gWzZ8/2u/+VV17Bv/71L8ydOxebNm1CTEwMrrvuOthstjBHSkQUmE1R8fSSTCzNyIHi1KCXJShODct25uDpJZlMlIiIiOoZfSSf/IYbbsANN9zgd58QArNmzcIzzzyDW265BQDw73//G02bNsV///tfjBo1KpyhEhEFtGh7NrILrYg1nf5KlSQJMUY9jhVZsWh7Nu7q2eqsj2NTVCzano11+/JgUzSYDTL6tU/GiG5pMBt0tXkIRERE5CWiSVJVDh06hBMnTmDQoEGebQkJCejZsyd+/fXXgEmS3W6H3W73/F5SUgIAUBQFiqLUbtANlLvd2H61j20dXqFq7w37cpFglCBBq7Qv3iBhw75c3NGteZWPYVdUzPj2dxwrsiLGoINZliCcTizflY2dR/Ix9eaOMNXjRInv7fBie4cP2zq82N7h01DburrHIwkhRC3HUi2SJGHJkiUYNmwYAGDDhg3o06cPcnJy0KxZM8/t7rjjDkiShC+//NLv40yfPh3PPfdcpe3z589HdHR0rcRORERERER1n8ViwZ133oni4mLEx8cHvF2d7UmqqSlTpmDy5Mme30tKStCyZUtce+21VTYEBaYoClasWIHBgwfDYDBEOpwGjW0dXqFq70cW7IDi1CBJUqV9QggY9DJmjbqs1h+jLuN7O7zY3uHDtg4vtnf4NNS2do8yO5s6mySlpqYCAHJzc316knJzc9G1a9eA9zOZTDCZTJW2GwyGBvUCRwLbMHzY1uF1ru3du31TLNuZgxhj5eFw5YoTQzo2PevjlymAXg4wnE4C7IpoEO8JvrfDi+0dPmzr8GJ7h09Da+vqHkudXSepTZs2SE1NxcqVKz3bSkpKsGnTJvTq1SuCkRER+RrRLQ0tEqNQ7nDCPYJZCIFyhxNpiVEY0S3trI9hNsgINPpZCAGzoc5+XRMRETU4Ef2rW1ZWhoyMDGRkZABwFWvIyMhAVlYWJEnCI488ghdeeAFLly5FZmYm/va3v6F58+aeeUtERHWB2aDDi8M7YUiX5jDoZTg11/C4IV2a44XhnapVma5f+2RYzigVrgqB7CIrdhwtwsG8cq69REREFCYRHW63detWXH311Z7f3XOJRo8ejU8++QRPPPEEysvLcf/996OoqAh9+/bF999/D7PZHKmQiYj8Mht0uKtnq2qV+vZnRLc0bD9SiGNFVkQbdNAA/JFTAouiIsaoQ4vEKM/aS9uPFOLFaiZfREREFLyIJkkDBgwIOLwEcFW8mzFjBmbMmBHGqIiIws/dG+VeJ+lgXjkcqobmCVFolmCGTnYVdAh27SUiIiIKXp0t3EBE1BCdbcFYd2/UuM+2omWjKL/V7qINOqzbl8ckiYiIqJZwJjARUZjYFBVPL8nE0owcKE4NelnyDKF7ekmmz1wjm+K/HDjg6mW3KZUXriUiIqLQYJJERBQmi7ZnI7vQiliT3pMASZLkM4TOjdXuiIiIIod/ZYmIwmTdvjy/aykBp4fQufmrdudmUVT0a59cKzESERERkyQiorAJZghdKNZeIiIiopph4QYiojAxG2QoTv+J0plD6M6sducu8jCkY1NPkYfqOFuhCCIiIqqMSRIRUZj0a5+MZTtzEGOs/NVbZneiWVQUxn22tVIyU9Mqdu5CEdmFVsQYdT6FIrjWEhERUWAcbkdEFCaBhtCV2hScKLEhp8h61qp3wQimUAQRERGdxiSJiChM3EPohnRpDoNehlMTMOhlNEuMQtN4M+LNhpAmM8EUiiAiIqLTONyOiCiMvBeMdRv32VbEmfx/HZ/LwrEWu4qTpXYUlNuhCgGdJCEpxoRmCWboZK61REREFAiTJCKiCLMpriF2/tR04VibouJAXhksDid0kgRZkqBpArklVhRbFVzUNBbmAL1MRERE5zsOtyMiirDaWDh20fZsGPUyIEk+Q/j0sgyb4sSRAgvXWiIiIgqASRIRUYTVxsKx6/bloVXjaJj1OjiFgDsFExU/DqfGtZaIiIgCYJJERBRhtbFwrGsIn4wOzeLQNN4MWQI0ALIEpCZEoV1KLMt/ExERBcA5SUREERaqhWN9H9O1cK1OkpCWGIW0xCjPPiFcVfWIiIjIPyZJRER1gL+qd+eiqoVrLYqKIR2bhuR5iIiIGiJeSiQiaoBqYwgfERHR+YI9SUREDVBtDOEDXKXFz3zMfu2Tz+kxiYiI6homSUREDVSoh/DZFBVPL8lEdqEVMUYd9LIExalh2c4cbD9SiBeHd2KiREREDQKH2xERUbUs2p6N7EIrYk16n7WXYox6HCuyYtH27AhHSEREFBrsSSIiqsfCOfxt3b48xBj9P2a0QYd1+/JC1mtFREQUSexJIiKqp9zD35Zm5EBxaj7D355ekglbgAVqa/58mqcH6UySJMGmaCF9PiIiokhhkkREVE+Fe/ib2SB7KuWdSQgBs4F/UoiIqGHgXzQionqqOsPfQqlf+2RYAvROWRQV/donh/T5iIiIIoVJEhFRPRXu4W9ce4mIiM4XTJKIiOqpcA9/c6+9NKRLcxj0MpyagEEvY0iX5niB5b+JiKgBYXU7IqJ6ql/7ZCzbmYMYY+WvcouiYkjHpiF/zlCvvURERFQXsSeJiKie4vA3IiKi2sGeJCKiesLfmki92jVG57QEbDiQ79k2pGPTWlkniYiI6HzBJImIqB5wr4mUXWhFjFHnWRPp+99OoEViFN4adRmTIiIiohDhcDsionrAe00kDUB2kRWZx4qxL7cMq/acxJOLdoV88VgiIqLzFXuSiIjqAfeaSKoQ2HO8FDZFhU6WIAPQKvY/vSQTU2/uiG8zj/sMyevXPpnD74iIiILAJImIqB6wKRr0soTjRVbYFBV62bU+kgBgVzU4nBpW7D6Bn/7IRaNoI1o1joZelqE4NSzbmYPtRwrxIst0ExERVQuH2xER1QPuNZEKyuzQVSRIGgSKrQrK7SqcqkCZXUWpzYkii4K9J8qgCgFJkhBj1ONYkRWLtmdH+CiIiIjqByZJRET1QL/2ybAoKlQBSHD1IJVYnXBqrtLfkuTapgnAqqiwKSqOF9s894826LBuX15EYiciIqpvONyOiKgeGNEtDduPFGLviVJocA2x806QZAmeBErVBByqhmOFFhSU2aEKQCcBidFG2BSVQ+6IiIjOgj1JRET1gNmgw4vDO6Ff+2QIAA6nBgmu5EgnAZLkGoInVfzYFBU2RYMmXF/0qiZwqsyOp5dksgoeERHRWbAniYionjAbdJg5ojOeXpKJn37PhUU4AUgQEBBCQJZcvUqaEBACkGVXwgS4tjWNj/LMTbqrZ6ugn9/fYrasnEdERA0Re5KIiOoRd49Si0ZRMBl0EABkSYJJr0OCWQ+dLEMVrvlJBr0MTQiUO1RYFQ0nS63482QZPt94JOjeJPditkszcqA4Nc9itst25rB3ioiIGhwmSURE9YzZoMNdV7ZCx2bxaBJrQrRRB7NehizLiDa4vtYlAHZFQ5FVgVPVEG2QoZNkCE3gWKE16MTGezFbz9A+Vs4jIqIGikkSEVE9NKJbGlomRSM9KQpN482QZQlqRa+RTgISo/Qw6WXIFVXvLIoGAde/VU1g1Z6TGPL2eoz7bCs+33T2niX3Yrb+sHIeERE1NEySiIjqIfewu1sua4HWTWLQsXkCmiWY0TwxCu2SYyEAKKoGwDVPSdUErIoTpXanpwpekcVR7SFzNkXz9CCdSZIk2BStFo6SiIgoMli4gYionjIbdLirZytPEYZxn22F4nRVtCuxOVFmV6EJQFSUCrc4BHQSEGWWIUNyJUtnDJkLVNDBbJChOP0nSkIImA285kZERA0HkyQiogbCprgKKugk4MKmsThVZocmTle4cyu3q4gx6aDzSnhMOhmfbzwSsHJdv/bJWLYzBzHGyn82LIqKIR2bVitGu6Ji4fYcVsgjIqI6jUkSEVED4d3bc7LUDoNOAiBcvT8CcGrCNXdJE7A6VKQ3jgHgGoq350Qpiq0OnCy1QxMCsiRh74lSbDlUgJdHdPYsZnusyIpogw6SJEEIAYuiIi0xCiO6pVUrxhnf/o4jhXaY9TJOlNiRX27HxoP5mL3qT4zr3xYjr0hnskRERBHHJImIqIHw7u0pKLMjyqCDJgBV01zrJkkVQ+8kCZoAmiWYAQDHiqwosDgghIDQXAmS0ASKLA6s//MUFmzJwpjebfDi8E6V1kka0rFpUL1Ax4qsiDIYsOdEKWyKEzpJgkGWUe5w4pMNh7EruxgvDu/ERIkaPK47RlS3MUkiImogvHt7nJqATpIQY5BhdQpoQoIsuYo5mPQyTHrXHKLsIisO5pVBdU1bQpFVgSxLMOplmHQyyu0KXv9hH1bvyfOcxL016rIan8TFGHQ4UmSDTXFCL5+ex6SXZZTZnOe02C1RfeFedyy70IoYo85n3bHtRwp5oYCoDmCSRETUQLgr3i3ano2Defvh1DTodDLS46M8vUZ7TpTC6nDC5lTx64F82J2+VelUAWiqgKapsEKtSKycITuJkyQJBeV2n/lQgGvelCpOlxOvbpLEq/FUH3mvO+ZW3SIqRBQeLEdERNSAuCveTRx0Ido3jUPntESkNYqCTpagkyVcmBILpyagqAIOp/+y3QKAJlw/oqICHhCaxWOFEFCFqFQlTwDQScGVE3dfjV+akQPFqfkkcsEulksUTlx3jKjuY5JERNQAjeiWhhaJUSh3OCGEayydEAJHCy2IMuo8C836X/nIlbQArkTJPTTP7VxO4ixOFbqKog/u57EqKkqsCiwOFTuPFiKv1FatBMf7anwoEzmi2sZ1x4jqPiZJREQNkHvo3ZAuzWHQy3BqAga9jGijDhenxsHqcK2nJKp4DFdtPCDaqMOu7CLsOFqIXdlFOFZkg8Ves16a5glRiDHpoQoBAaDM7oTNqUGWJJgNOjg1AYtDrVZPEK/G1082RcXnm45g3GdbMfrjzRj32VZ8vunIedXzZzbIngsFZ+K6Y0R1A+ckERE1UGcuNgsAd3+0CftyS6EGOEHzJuCqiGdXNCiaBqcqoAmBQosDJ0qsKLY4kBBtDCqmqTd3xNcZx/H+2oMoKHdAVTWYjTqYdDJUTYPZoEfLpGhszyrEre/+guQ4c8B5Ru51ofzh1fi6iQULXEK17hgR1R5eqiAiOo+cKrUjv8xe5W2kih+dBBh1MmxODQ6nq+fHNUTIlYCMmbcZNkUNqmfAZNBhTO82WD7xKjSKNkCWJdgVDcU2JywOFTaHgs2HCnC8yIqTpfYq5xnxanz9wyGSLoGGw5Y7nEGtO0ZEtYd/QYiIziNFFoerGEMVtxEVP6pARYKkQaoYe+dab0mCTgJ+yynBTf/6GQNfW4MP1h2ETVGrVTzBpqiY8e3vsDhUxJr00MkSIFy9VGUODU5Vg1MDSqxOT5EHfyfR/donwxJgiJZFUdGvffI5tRWFHodIugQaDjukS3O8cJ70phHVdRxuR0R0HnGoGvQ6GU5V86yNdDYCgKIKGHQSTDoZiibgqLhzbrENep0EiyLBdqIMHZrFudZnqqKUsbs3waiXYXGoUDUBuWLYnKIKyAAkydVzdbzYhrTEKACVy4N7rwsVbdBBqigIYVFUXo2vozhE8jR/w2GJqO5gkkREdB6RKhaYLVaDPxlVNQHoAE1z9TXJkgSrokJ2ApAklNuc+OO4wMXN4qGTpIBrHrl7E5JiTSg6WYYzi3wJuHusgEN5ZcgrtUEnSUiKMSElzuS5nfe6UN7rJA3p2NQzf4nrKNUtZoMMxem/shuHSBJRXcIkiYjoPJISZ0JOkRXaGUPuqtOppFUMv5Mrbq9qApqApxcIAArKHNhzvNTTo+SvZ8Ddm9AswYxDp8qhqhqEV6U99zpNUkWQMiRomkBuiRWlNgU2RfUkOFVdjWeRgLqHBQuIqL5gkkREdB6544qWeGfVn56ExF3mu7pUTcB7FpAkuXoAJOn0oks2p4rjxTa0SDD77Rlw9yboJAlxJh2KraJStT0BwCkAg9fkfgAwGWS/Q/j88S4ScDreqocCemMvVOhVZ4hkMO3O14iIagv7tYmIziOjrkhH3wuaVLmQbDCEAJzuziLhroonoaDMDouione7xvh80xE8smAHAOCRBTtgNuhQZncCAPSyDE2ISkPu3FQhYFVUFFcsNltiVfD5xuqtqXMuRQLcvVBLM3KgOLVqFaSgsztbwQIA1W53vkZEVJvYk0REdB4xG3R4eURnHDxVjt9ziiFJEpTqVnCogqIK6CTArNcBwlXYoVmCGTuyinC82IYEY0VhBqeGvHIrTpTYAABOzXeo3Zk0AVgrquYJIVBic6LYWoa/vP8rPhnbo8p1ms6lSMDZeqEWbMmCQSdX2YPBXg7/qhoi+fmmI9Xu/TvXnkIioqqwJ4mI6DxjNujw2T090DwxKqQn65IkwaiXIckSWjSKQpeWiThebKu0Jk6c2YDUeDNS4s0os1fvan9FrQgIISBLwJ955Rgzb0uVvQXnso5SVb1QJp2M99cerLIHg70cNRNM7x/LiRNRbWJPEhHReSgh2ohlD/XF1KW78U1GTmgeM0qPri0bodzhxJAuzas8iY016XEwrwzRRh0UVfPpSjozrdEqkiP3PgkCTs2JHUeLcNUrq9AlLRFXd0ip1ENzLkUCquqFOlFiR7ndWWUPBgD2ctRAML1/tVVOnD2ARASwJ4mI6LyVEG3EW6MuQ7wpNCd+JVYFpTbFawK+/1LPqhA4VmzDnyfLYFdUVxKE0z/+eO9zV78DgFOlDmw6mI8l249V6qEZ0S0NLRKjUO5wnk6yhEC5w3nWdZSq6oXKL7fDoPNzXJpAYbkDb/20H2+u2IcDeWXILrS6Sqd7YS9HYMH0/p1LT2Eg7AEkIjf2JBERnecuaZaATUcKoJ3j1CRFc51kFtsUjPtsG34/XgwJruRBqCpubARsPlwAi9PVGyQAmI06WM5hAVEBoMyuYu+JEpwqs+PWd39BcpzZc/V/6s0d8W3m8YDrKAVSVS+UompITYjy2aZqAntOlMKmOCFJkutHuMqWF1sVdEiNg04+PeTwfFo0NRjB9P7VRjlxznMiIjcmSURE57n4GAN6tU7CrpxilFZzjlAgu46VQH+8BCaDDk6nBntFUQiTzvV/i6LCrrqSBRmA1XHuV+YFgFK7inK7BVFGHVLizJXWQwr2xLaqUtUxRj1S400+tz9ebINNcUIny3CPANMgQS9JsClOHC+2Ia2RK7HioqmBVadEeE1uW13VmefEJIno/MBvaSKi81y/9slQJaBHm8ZIijGc8+MJAVjtqidBCkQDYA1hj4oGwO5UsedEKTSBSnOEglFVqepx/dvC7vSNu6DcDp0kQRUCSbEmJMWaPGs/6SQJBeV2z20tiop+7ZPP6VgbqrOVCPfu/QvmttUVaIgowB5AovMNe5KIiM5z3lfk5UALFgUhBBXFa0wIwOpQPD0353L1P1CpapuiYld2sU8PhioENABReh2aJZgBAMUWBTan6kmezrWX43xRVYnwc7lt9Z7btdCxv0SJPYBE5xd+2omIznPeV+RT4kxnv0MdpgpX79SpMhuyC63IPFaMzYcKMO6zrfh8U/UWoT0bfz0YellGSpwJFzWLg06SoJMkdGgWh6bxZkgQkCXpnHs5qPb1a58MS4D3CHsAic4v7EkiIiLPFfkR3dIw/N2f8cfx8kiHVGMOVaCgXIFT1aCTZZ8KZe45SgDOqczzmT0Yn286gmU7c6Dz6oHQSRLSEqPQKNqAIV2acy5LPVAb85yIqH5ikkRERB5mgw4L7uuN695cgxOlSqTDqTEBwOYUMBsEkmPNPhXKFmzJQmZ2MbILrYgx6iBJwKFT5dh8qAD/WrkfnVok+F13qSrn08l1Q15HyN1LeObxVaciIp2/GvJn4nzGJImIiHwkRBvxw6QB6PHPn2B3RnCC0TmyOzXYnRpKraU4VlAOk16GBgm/HSuGSe9KjjRNoNyhQnOvo2QT+PVAPv48WYYthwrw8ojO1e5ZOh9Ort3rCLkTTH+9dPX9WEM9z6k+4cl+8M6Hz8T5ikkSERFVkhBtRO92TbB2bx7qez0vDUCZQ0OZ4/SRlNlVGHUS9DoZDqcGAUACoJNd6yAVWRxY/+cpLNiShTG921TreerLyfW5nAjX93WEmAQE1hBO9iPx+tb3zwQFxiSJiIj8GtSxKYotDmw/WhzpUGqFQxVwqKcn6Qu4quMJAIomUGZ34NXv9+LXA/lVnmjVpxPvcz0RDvU6QuFsu9pOAuyKioXbc+rF+8Cf+n6yH6kk78zPhKoJHC+2oaDcDlUIvPXTfgCoN+8DOo1JEhER+eWeZ3MgrwzFtnOvClcfqALQhICoWA/HoWpVnmjVt6vv7hPhKKMOx4ptKCizQxWATgJyS2z4cksWRlfRc2ZTNOjl0KwjVN22C1Ui5Tl2gw7Hik6fxOokCSeKbUH1Gvoz49vfcaTQXi/eB/7U1YV0z3z9Yw3AtfGupNRgOL2uWyiTvGDec96fCVUT2HOi1LWwtCRBliQoav16H9BpTJKIiMgv9zwbpyawLCOn3g+7qy4B18mOBECWRcATLZui4slFu7BuXx4kSYJOApJiTWiWYK6TV99tiorPNx5BbokNpXYVQhMw6mWYDTpoAigod+C9tQcx8or0gCdyoVxHqDontSO6pdUoCbUpKhZsycKCLUdxNN8Ch6pB0wTMetn1WsmAXpYhSxI0TaDI4sD7aw9ilNexV/dE2V5RMnzdvjw4hKv8e1KM7/vgyy1Z0OvkWullClUSGcoE+OzPVb2Y/SfSrvae8e3vmDG8i+f2oUrygr3w4f2ZOF5sg01xQi/LEACsigpFFdiXW4a9J0rx5KJdmFnNeY4UeUySiIgoILNBh5kjOiMrvxw7GuiwO39ExY8MCaomoJMlnxMt94nUun15AATsigaHqqHQouDwqXK0ahyNZgnmiF19P5M73mOFVjg1AaeqQQjA6VBhVVREGXQwG3QodzirTOz6tU/Gsp05iDFWPn2wKCqGdGxa7Ziqc1ILIOjeAZui4qlFu/Dz/lMosSnQNNc6VaoAyitO9I06CXEm2fN4eklCuf30sQfTyzXj29/Rp2J5MRmupCu3xIpiq4IOqXEw6WW8t/YgWiZFh7yXyTtOs17GiRI78svt2HgwH7NX/Yl7+7aGTifj1wP5sCkaDDoJMSY9yu1OKKrw/G5xOLE7x/X5blyR4Om8EqZQLqQbTBISKJEGgJziMy9aBE7yNAAH88ox7rOtZ00kz5a8n5nw5pXaYHGoaN04BgXldugkCQJAmd0JZ0ViLlfEsG5fHp5ekskepXqCSRIREVXJbNDhk7E9cOeHG7E7pzTS4YSVUxP4eX8e4qL00EsSJFnCff/egsOnLDhVZofdqcGpanBqAhUF8qBqAodOlaPYqqB907ignu/MK+zuk9giiwO/Hy9BsdUJvSQhxqxD73ZNMGPoJUiINp71cd0nfga9jJIyh6dQBeCah+W64q0hPspQZWIXylLnPsOURMU8Dq/hf4nRRmhCBN07sGh7NjKOFsHiUCEEIFc8hwRX4gsAiipQand6jl+SAINOwuo9J3Fzp2a4++PN+P14CSThOkFuFGPARU3jKiVnrna1AKlAud0JmyZBAmDQyRDCiePFNkBy7fN30n20wIInF+2CTVFr1AvkPYTQe5iXQZZRbnfizZ/2w2zQ4ZJm8ZBkCZnZxbAoKmKMOlyYEoffTpSg3KEi2qBDUowRuSU2nwQPAI4X23Cy1IYmsSaM+2zrOfeALdqejawCC0psThzMK/O83kmxJmia8El8/M33yS2xAY2AP0+WnTHfx38vp6Jq2JFVCJtTQ35FEpMUY0RhucPvumnbjhQCQqBxnNmVLHo9nr+ENznOhN05JfgtpxiqpkEnybAqasUi05KnnWRJggZR53qYKTAmSUREdFYJ0UYseqAP7vt0K37+81SkwwkrVQBFFtcJtQxg59EiaMJ10m1TVM+/vSmqQG6JHaU2J258ax0AoHGsCdFGXRVzG3yvsEsSkJldjHKHExaHCghAlgCHJMFp0bDyj5PYkVWIZQ/1PWui5D7ZdF/lPjNeIeCZn3PmsCp/iVvTeDMsDiccTlHjUufuk1oNwJ7jpbApKnSyBBmuk+FTZXaU2BRc3Cwe/h410BCwdfvyXFfxVdVzwqwJ4UmQAFey5FB9y9s7VIGf/jiJ7i/8BGfFcEu9zpUEnipzoNhagB6tk2DSy/h84xGs25eHrYcL4XA4MDL1dALmTjqFACxKGSAAk0GGWlEVxD2p36kJWBwqMo8Vo0frJOh1ctA9TO7XNbvQldiomubz+jo1AZuiYsuRAsiSDFXTEF3RA7YvtxR2pwqTToZddbVjlEEPm1OFTXHiWJEVpTYF5Q4VMQYdWjSKCkkP2Jq9J5GVb4HdqXleb0245sQVlctYs/ek394h93wfobrWb5Mhwe4136d3u8ZY/tsJn15OVQhkHC1CuUNFlF726umzodjq+kx/tvEwvtt1AofzXQtol9mdMOpk5BbbUGxR0KFZnCdROlFir5Tw6mUZl7ZIwJH8cpwqtQM6AUV19SCZDTqvixGVe6SpbmOSRERE1WI26PDB6Msx8Ysd+OH33EiHExEagJOlDkgSoJclaBVnxj49M163tzpU5BRZIQAUlCu4KDUWy3bmYOOBfDg1Dev358PmVCEBMOtlJMYY0TY51jW/ocgKu1ODwymgVSRIkuw+6XeddBVaFExduhtvjbqsyrjdJ5uqpkGW4Inbu3dFL8twqirMBtmTGK3ecxKZx4rhcGpIjjOheWKU5ySzRWLUOQ0bcg/dK7QosCmqz1ApTQg0jY/CyVIbcoqsaNko2rPPXT0sv9wOAJV6N2yK5lr3Sjp9ci2E77FWxVnROAKuZNfdTjZNYOPBAs+ws9R4M2yKesb9JKjCt1dRllz//yOnBJAAm8PVa2d3anDnaTuOFqFLy0ToJAmF5Qr2nijFkLfXo21yzFkqK2qQABwpsMCpapAlCZBciZpScRwyAKcqIITTNQxMADEGGYUWB+IqTvZdz+vAxc3isedEKU6V2VFkLQPg6j1JjXeNJwxFtbvDp1wJkvfrLQHQS66k5/Api2f7mfN9rA4FuopXscSmwKG52kvTBDqlJaBFYhSOFlhQZFVQWO5Aud0JS8V736iTPD2mQgDldhWqpuHtn/ZDkySYdDIknL744X4fHC+2IS0xCgCQX2qDQS9XqmDn7p1q0SgK8WYDdueUQFFdQ3DdPYuqENBLEjKyiyFLwOebjtRg3lj9qaTZEDBJIiKiajMbdHjrL5fhs42H8eL/9kQ6nIgR4vQJtGebv9sB0MkybE4V+WV2bD2swGyQsfVwITRNQJJOD8MpsasotVthVzRc3DweBWV26GRXdSz3c7ppwtULoZOB5b+dQI+znHB599qY9TKsXj0wElwJWKxRB0XVYNTJGPjaGpRXzKnQBBBllHGy1I4SqxMdmsXBrNdh25FC3PruL0iOM9foZM09dG/viVK4z5eFEFCFgNmgR7MEMwCBk6V2T5KkagJ/nChBidUJxanCaNBh/f48/LzvFN76aT86pyUgr9TmShaEqEgmqxVOldxJsEPV4NQ0GHQyNOEaymWQTj+B0+s9ISr+o9PJiNLLKLEpnjLzTvV0ggQAJTYnNh3MR2K0AQ6nK9kpsjigOKOq7Lkx6iXsPFoEh9P1empCQJZ9j9kpAEk93ZPm1FwJGgCU2p3QNAGtIq5fDuRD004nhjrZ1eaH8y3ILbHDqJehCQG7omL3sRJ8n3kC0aaqe0fP7IXMyi+HUxOQ5YqhiXoZZr2rx0UGUGxVPPf3ngOXX2arSPY1T/vqdVLF8EAd1u8/hddv74Ix8zYjr9QOSYKnR1AIgSKbWukzmlfmAAAYZMBoNkCSpIrXVoWqCSiqhoIyO9ISo6AKgTK7Cp0EbDhwyvVaS3DN3arYF2vSodzuhN3p6vmVZFfPVbmqQpKAKLMeUkUC735dp97cEd9mHse6fXmw2FVP8n9mzzOAiFbSPB8TNCZJREQUFLNBh/uuaoe5a/5Efrkz0uHUSd69FkUWh6fnRnGoKHd4lVOvKDnuSRIAnCy1o/xwAYSA5+TD/XhO1XfYmKoBmtDwzY5jVZ4ouU82dZIEs16GKgBVcydKEox6CU5Ng6IJ7DpWhHK7EwadDKuiQNUENCEQa3INxTpWZEWp1Qmb4kSZTUKzhJoNw3JXTxzy9noUWRyuK/KyhCYxZqTEm3C8xIb8Mtfwpu1ZhUiOc81ZKSh3eKoPWh2nT3wtiooNf+YhyqhHqc3papvqvFjV5H4eWQJkydWToNdJPtnxmSfhBp2E9KRo5JXaoGoCTtWVGGt+EjeHKnCy1AG97EqcDTrZldQadNieVTkhvblTM5wqtSO/3FHpPREodn/P6U3VzvzddayqBpRpTkRpOjg1UXE7FftPluGiprF+X3v38NGsfAuKrA4cL7ah3H769dJUAb1OgtWuwmI//ZmQJWDigh2YMfQSnzlwFkWFKgQMFX22OkhQIcHiUFFmd+LXA/l4+r+/ocDicPWaVgyxlCRADdQAFRQNKLIqSIwywKSXXXMNNQGnQ4VD1bAruwhFVsXn8+dKvgBorp4kRdVQUK6ieaIZUQYdSu2q7xMLwOHUYNDLaBpj9sxJGzNvi6vKpF7G/pNlsClOn57nJduPYe6aAygsd8DmdPUEJ0QbkBBlQLFFgSpEpcp5oU5o7IqKad/urjdLHYQKkyQiIqqRzmmNsHpvXqTDqHPOnO9zthM0gUrnUiirOGn0SahQ+WTX3VuRVWAFgIBDoNwnmyeKbSiyOBBjkFHmEBW9YQJO1RV3cpwJFrsKvc41pMxd+ECtmNtiNuhwvNAKvU6CXpY9SUhNh2GZDTq0TY6B4ozyzB9ShfDMUZIlIN6sR+NYE06WuuZ4aRW9EJomKrWHRRGwKkq1htXVlE529QwVlNsRZdB5TvDPfE5ZAuLMerRIjEKpzYkyu+pqr7ME59QAvSTgEBr+OF4CwDVEz6CToWrwVK97ZfkexEfpQtJTFojPe1MANqdW8f52VQy0KU6cKLEjrVFUpdd+0fZsZOVbcKTAgvyKghxnPvaZvbGoeL5lGTn4blcO2ibHokmsCSVWBXZFc/XOVJyLCwmwe+Jx9er9uPsEBIBYkw4Op/D7+IFoAiiwKJW2K6o43eMkAcoZQ2y1igsd7gsZxwptfh9fALAoGlLMhopeUlevWW6JDU3jXe3nfs8bdDKscOJYoRVH8i2eoZMSABVAXqkDp8ocSDTroZNlaBCeynlTb+6IaUt3Y0dWIfLLHZ5ew3X78rBgcxaGdm2OrYcLg0qevtmZE1SVyYbS6xSaeo5ERHTeGdSxKWJ4qa0SgerNfQkVWQJsThVFVsVTNvtM7l6bMX1ae65yu3s19BUJh82pweZQPb00gOsqvKg4AXQP+7MqKsrtThRbFZTZnMgusrqKEsC3dHd19WufDIvX3B7XWjNqxZwvgcaxZqQ1ika39EYAXEOsABGwl6i22z7aIEOWK+aYyHLAJ9QqEkydLOHClFjIUvUjc1bctMSqoMSqQK+TUWxVkFVQhhKrAotdRbHNiaOFdr+9UrVBwNXTpGoCTs31b4eqeYaHnfnar9uXhyKrw2+CdDYaXL07B/LKcCCvHMlxJhh0MmSdVPH6u96PTk1A0Vw9XYrq6qlzqgKFFmelCwyhoPhJ9PzFXtV781SZHb8cOIWf9+dhf24ZiqyuKn8Wu7NiiKiA3anCYnfiz7xyT4Lkvr8nZxWuYZolNgVFVgVFFgVLth9Dlxkr8N+MHBwpsKLM7h42KGBVNGQeK8GL/9uDn/fl4XiRFTaHimU7c/D0kkyf+XVnWr8/D4UWB3ZlF2HH0SLsyi7yfO7PfN3dPYhLM3KgVMw9c/c6ne156hr+eSMiohoZ0S0NGw/kY9mu45EO5bwmSacn3jdLiAp4O7NBhzG920BVNbyxYj+sFZX5NHH60nhemQMGnWuol0PVvIYXuRKlwnKH6ySwogvLoEOlKmDBLjp6ZlnxgjI7ZMk1d8Zs0KNJjBG/HStGocXhmUwfSSU2J0x6uWK+loDO/9I8AFxX/HdkFaLMriLYc3alIgEAAJvi8JwgOyO8qrP7FVAFYHVosCoObM8qgOJ0vVfu/mgTTHoZu7KLkV8efILkzakBJ0psyCuzAcL1nBbPO7JyTJF8d1T3uVUBqGc0ivt11oK8wnLmY/lN2vxstCga9p0sw76TZdBLwP5oAyZ8sQNZhRYczbd4hrFG6QVeugJYtz8PTk2GTpZcwxA1V8XHfSdKoZcBvU7G3z/dgqs7pEBRNU+vk6oJHC+yegpc1LcFdZkkERFRjZgNOrx6exe0bRKFt1YdjHQ45y2nBhRbHJBkCXmlrl6Yqk4/vt52DHan6ipuAOFzEiXgmqfiUCuf0ftcxa74v0MVcFgVwKrgZIkNjWON6JSWEFT87l4u9/Ac9/oyyTFmNIkxYtvRQihOrVaHlQVDFa6TTPfwKt1ZzvX8DeEK1umiC+f8UCHlHu5ZaDk9N/HXA/mQhKjU63Iu/M2zotBwCiC/XMGPfiqWuvMvpwbYVeHZ4LPmWMW8yN+OFaPEqiC70IoLU2I9JdutDqen108TAv/LPI6sfAs+GXtFtdZ4iyQOtyMiohozG3SYdO3FGN+/daRDOa85hWu40aG8cvzl/Y0osToC3jarwAJUrBcTyo4ZDa6eqHV78/DhzweCGlZjNuhwV89WeO/uy9GjTRI6No8HJGDLkQLYFFcluLp2nlxHcrY6x6mFNkGiuufMl1cnS7ApKoqtTpTbXfPUXCXbnbA5NTjUijL8kgRJAH/mlWHMvM11fugde5KIiOicPTyoA7YdKsbGrMJIh3Jeszo1ZBwtwvWzfsYzXVxVqQwGg89tFFVzrR1USzE4BfDP7/bg7VV/4tLmCYg16z2Ttu2KiqlLd+PXA/mu8tk6Gb3aNcaMoZcgIdoIm6LCqJOxes9JaAJ1YngdEZ2dTpJQUG6HQSchv9zumceoVix14CZJgFGWcDjfUuO1tsKlXiRJs2fPxquvvooTJ06gS5cuePvtt9GjR49Ih0VERBXMBh0+ua8nOjz7faRDOe8JACV21/CnaUt348URXQHAszjsmWWfa4MmgGKrExsP5qNRjBF7T5Til/2nkHmsGIVWBQYZcDgFSm2Kp5JZ6yYxKLY6UWpTXOvoSP4n+1R3UVgiqn3uUuiS5Cq7nhxnxoliq2f+kvenWAjAaJBdPUoVFfmYJJ2DL7/8EpMnT8bcuXPRs2dPzJo1C9dddx327t2LlJSUSIdHREQVzAYdnry+PWZ+vy/SoVCFXw/mY94vB/Hj7pM4nF8OmyO861qpAigod6DI4sCRfAt0MhAfZUCp1elTtUvTgP0ny6HXSZ7FbQMlQkyQiCLPuwKmuwqmTpaQGm9CqVWpKAwjPKX9hXANyzPrdZ7bBlvkJdzq/JykN954A/fddx/Gjh2Ljh07Yu7cuYiOjsbHH38c6dCIiOgMY/u0RUzdL1p03nAoKmb9tB+/Hy9Bmc0JqzP8KYZr2NzpymxF5YpPguTNqYqK4TkVyVJYIyWi6hJwJUfudZ1UIZAUY4LdqWFc/7bo1z65IntyJVQmg4xYk9611pMQSIoxwmyo25/wOt2T5HA4sG3bNkyZMsWzTZZlDBo0CL/++qvf+9jtdtjtds/vJSWuhdgURYGinHuFmfORu93YfrWPbR1ebO/Q0wH438Q+uO6t9T7bTbLw+T/VLnc7O5xOQEiuMtUSYKonCawEASGdvXJcXcD3dnixvcOnqraWJVfyo5MkROkFzEYdGkfLaJlowoiuzTCiazMcLyjDwVPlMMgSJEmCEBo0IRBt0qNxtA79LkiKyN/f6j6nJERdKapZWU5ODlq0aIENGzagV69enu1PPPEE1q5di02bNlW6z/Tp0/Hcc89V2j5//nxER0fXarxERERERFR3WSwW3HnnnSguLkZ8fHzA29XpnqSamDJlCiZPnuz5vaSkBC1btsS1115bZUNQYIqiYMWKFRg8eHClKkkUWmzr8GJ7167Xlu/GJ5uyAbiuRD5/uYZnt8qwa1WsvkkhwfYOH7Z1eLG9w8e7rRUhoUViFLq2TMT0IZfAVM3FYO2Kim925mDDn6dgc2ow62X0vqAJbunSvNqPEWruUWZnU6eTpCZNmkCn0yE313eBq9zcXKSmpvq9j8lkgslkqrTdYDDwJOgcsQ3Dh20dXmzv2jHphk74ZMMx2L222TUJdpUnNuHC9g4ftnV4sb1rn3vKUIukWKQ1jsWAi1IwolsazEEkNwaDAXf1aou7erWtpSiDV92/93U6STIajejevTtWrlyJYcOGAQA0TcPKlSvx0EMPRTY4IiKqktmgw09P9MdVr6yNdChERPWaTgIaRRvQ58JkPDywHR76fAf25JYFvL1BdlWX9K6RopNcFeaijToY9Tr0aJOEy1omYPPhQtgUDWaD7FnTzGzQQVEUfPfdd1j6UN/z8kJinU6SAGDy5MkYPXo0Lr/8cvTo0QOzZs1CeXk5xo4dG+nQiIjoLFomxeI/91yBez/dHOlQiOqFpnEmqEJAcWqA5Cqp7NQESm1OxJn1MOhkaEJDfqkd+ZbwlnSvD/QA6lKrNIszYHSftth8uACZ2cUosDig+ql8nRStQ3JcFHSyhMaxJkQbdT4Jy5m+n9Q/ZDHee1XIHqpBqfNJ0siRI5GXl4epU6fixIkT6Nq1K77//ns0bdo00qEREVE19G2fgo4p0QBKIx0KUZ0lAYgz69A+Ne6sJ8jeii0O/O3jzdiXWwKHU0CrKLmsk4Eokx6dmicgyqiDQSdj/b6TKHXU7to0BllCrFkHq0OD3amFZV0rPYC2qbG4s0c6Rl2R7mkzm6Ji0fZsrNuX59NTcnOnZliScQwLtxzFyVI7hBAw6mQkRBngFAIlVicSogxomRSFGKMe+0+W4lSZw3O7+CgDVK/btWocjasubAIB4NcD+X57Zf4vDO1AoVXnkyQAeOihhzi8joioHvtwbE+sX/1TpMMgqnMkAGaDhPap8fj32B5IiDYGdf+EaCO+HNfLbzJwZpJlU1Qs2JKFBZuzcORUOWxOUSmJcS/mK0uuBUBV4buAryydvp0QqCgtL0GnkxFnNqBtkxjEmvWeZOTbzOMB4zpZYsU9n27FHzklnmFhOhlo2Sga7VJi0ffCJsjIKsKJEhtMOhknSuwotdoAWNEs3oyxV7XDSK+k6Exmgw539WyFu3q2qrRvTO82GNO7TVBtXR218ZgUGfUiSSIiovotPiq4Ez86P8QaZcSYDThVaodaZxckCT0JgFEvo2VSFNo0ianRhHhvVSUDZ94u2OTA3RuzZu9JHD5lQbFV8fSeXN3h7HFXFVdKfBS+fbjqsV62K073BqUmmHFBEzMAK759uC9io83VPg6iYDFJIiKisPni7z1w63tbIh0G1QESgGaJ0Vj2cF98uSULX1YMfVJVFSVWFWqkAwwxo05CYrQB6UkxaN04Gi8M71TjpCicqpuAhev5XcUEjkesfDSdP5gkERFR2HRKa4Q3b++ESV9lRjoUirDGMa7eCLNBh9G922C0V+/G6WFhR3EkvxxWpfI8GpNehqpprmFaAtDrXOPA9LKMaJOM1IQoKE4N+eUOAEBKnAkjr2hZ5fAsb+4elJV/5Lom3Jc7PEPCDHoJrRvH4M6e6bitazOsXPEDbunSHFlFdkQbdJAkCUIIlNmdUDSBxjFGKKoIOAyOiOoeJklERBRWw7un49eD+Vi4LSfSodRr7hVizjZKzagDVBXQqritXnLtU0X1H7emJACtG0cjOc6Eqzuk+L1NTYaFhVp1e1AURQEATL25I77JzPWZf3NLxxZMiIjqKSZJREQUdjOGdcaSbTlQIh1IhOgkoEmcCR1S42B1qMgpsqDQ6oRdcQ0y0zRXUuPNIEtolmBCq8Yx2JdbhoJyBwRc6560TIqCDAmFFgfsThWNzDoAFvRu1xhGg6Fak+irqgT234xjnuFwgKtX5o4rWnoqidkUFV9uycLnG7Nw4FQ51IouFwlAQpQBbZNjkBhl8PSwWBQVaYlRGNEtLWxtXttMER6WRkShxSSJiIjCzmzQ4Zd/DESPf66KaBwSgEuax+NAXimsSuj6TgwyEBdlQKFFcVUAg6u3plGMAVFGPZyqQLuUWJgNOlx7SWqlksRA5eFh3klM+6ZxOJBXBpNBRnpSNPSyDCEEkmKNSEuMwvSbO2Dlih/w/t2X+ywCWdVJfFU9J2cOh/N330C38Zd8DenYlD0sRFSnMUkiIqKISImPwnt3XYZxn+8I6/O6K4sZdDKuuTgFM0d0xoItWXhv7UEUljugagIGvQxAQAgJep0EoQk4hYZYox5xUQYcK7Ag0HIzLRJMWDK+D1LiowL2zvhLEM42vOzMJKaq5ENXqR8qciI98Z+IqCaYJBERUcRc16k5RnTJwaKduSF7TINOwpVtkpBTbMPxwnJYnKf36WTApJMhyzIaxxgxY+glnvkvo65ID5jQAMDTSzJxrMiKaIMOrZJicKzQgmPFNqiaQKxJj6bxvkPQgNpNEKp6bMVPoQMiIqo+JklERBRRr//lchwv/BkbskqCup9RBjThmrsjSxIkCUiNN2HRA72REh/luV2xxYGpS3fj1wP5UFQNBp2MXu0aY8bQS3wW7jxbQvPi8E4+SVTblFiM6duGw8aIiBogJklERBRx8x+8Cm+v+B2vrzwU8DYSgFiTDmmNopEUY0ShxVXauXGsCdFGXcBhbAnRRrw16rJzjpHDxoiIzh9MkoiIqE54eHBH3DfgIizano3Ve07iSL4FxVYFCVEGtG4SjQEXpbDXhoiIwoJJEhER1RnsrSEiorpAjnQAREREREREdQmTJCIiIiIiIi9MkoiIiIiIiLwwSSIiIiIiIvLCJImIiIiIiMgLkyQiIiIiIiIvTJKIiIiIiIi8MEkiIiIiIiLywiSJiIiIiIjIC5MkIiIiIiIiL0ySiIiIiIiIvDBJIiIiIiIi8sIkiYiIiIiIyAuTJCIiIiIiIi/6SAdQ24QQAICSkpIIR1J/KYoCi8WCkpISGAyGSIfToLGtw4vtHT5s6/Bie4cP2zq82N7h01Db2p0TuHOEQBp8klRaWgoAaNmyZYQjISIiIiKiuqC0tBQJCQkB90vibGlUPadpGnJychAXFwdJkiIdTr1UUlKCli1b4ujRo4iPj490OA0a2zq82N7hw7YOL7Z3+LCtw4vtHT4Nta2FECgtLUXz5s0hy4FnHjX4niRZlpGWlhbpMBqE+Pj4BvUhqcvY1uHF9g4ftnV4sb3Dh20dXmzv8GmIbV1VD5IbCzcQERERERF5YZJERERERETkhUkSnZXJZMK0adNgMpkiHUqDx7YOL7Z3+LCtw4vtHT5s6/Bie4fP+d7WDb5wAxERERERUTDYk0REREREROSFSRIREREREZEXJklERERERERemCQRERERERF5YZJEQdm3bx9uueUWNGnSBPHx8ejbty9Wr14d6bAatP/973/o2bMnoqKi0KhRIwwbNizSITVodrsdXbt2hSRJyMjIiHQ4DdLhw4dx7733ok2bNoiKikK7du0wbdo0OByOSIfWIMyePRutW7eG2WxGz549sXnz5kiH1CC99NJLuOKKKxAXF4eUlBQMGzYMe/fujXRY54WXX34ZkiThkUceiXQoDdaxY8fw17/+FY0bN0ZUVBQ6deqErVu3RjqssGKSREG5+eab4XQ6sWrVKmzbtg1dunTBzTffjBMnTkQ6tAZp0aJFuPvuuzF27Fjs3LkTv/zyC+68885Ih9WgPfHEE2jevHmkw2jQ9uzZA03T8N577+H/27v7oJryPw7g71ttqRTpcVWbK7HrqRJCa8VG7VrEbmFChWKVp8ogVovWzk63FEuo2YvGbkIpbJm0SdMiI08tu7alaadCLBHp4d5+f5ju3Lt5uFjOr9v7NXNn+p7zPee+z7dm3M/9nvP122+/YePGjdi2bRsiIyOFjtbu7d27F2FhYYiKikJJSQkcHR3h6emJW7duCR1N4xQUFCAkJASnTp1Cbm4umpqaMG7cODx8+FDoaBrtzJkz2L59OwYOHCh0FI119+5duLm54Z133kF2djYuX76M2NhYmJiYCB3treIS4KS227dvw9zcHCdOnMDIkSMBAA8ePICxsTFyc3Ph4eEhcELN0tzcjB49emDt2rWYM2eO0HE6hOzsbISFheHAgQPo168fzp07BycnJ6FjdQgxMTFITEzEtWvXhI7Srrm6umLIkCH4/vvvAQByuRy2trZYuHAhVqxYIXA6zVZTUwMLCwsUFBTgo48+EjqORqqrq8OgQYOwdetWREdHw8nJCfHx8ULH0jgrVqxAUVERCgsLhY4iKM4kkdpMTU3Rp08f7N69Gw8fPkRzczO2b98OCwsLuLi4CB1P45SUlKCyshJaWlpwdnbGu+++i08++QSlpaVCR9NIN2/eRFBQEFJSUmBgYCB0nA6ntrYW3bp1EzpGu9bY2IizZ8+qfGGlpaUFDw8PnDx5UsBkHUNtbS0A8O/4DQoJCcH48eP5pewblpWVhcGDB8PHxwcWFhZwdnZGUlKS0LHeOhZJpDaRSIRjx47h3LlzMDIyQqdOnRAXF4ecnJwONwX7NrR+o/71119j9erVOHz4MExMTODu7o5//vlH4HSapaWlBQEBAZg/fz4GDx4sdJwOp6ysDJs3b8a8efOEjtKu3b59GzKZDJaWlirbLS0teUv0GyaXy7FkyRK4ubmhf//+QsfRSKmpqSgpKcG3334rdBSNd+3aNSQmJsLBwQFHjx7Fl19+iUWLFmHXrl1CR3urWCQRVqxYAZFI9NzX77//jpaWFoSEhMDCwgKFhYUoLi6Gt7c3JkyYgOrqaqEvo91Qd7zlcjkAYNWqVfj888/h4uICqVQKkUiEffv2CXwV7YO6Y71582Y8ePAAK1euFDpyu6bueCurrKyEl5cXfHx8EBQUJFByotcTEhKC0tJSpKamCh1FI/39999YvHgx9uzZg06dOgkdR+PJ5XIMGjQIGzZsgLOzM4KDgxEUFIRt27YJHe2t4jNJhJqaGty5c+e5fXr27InCwkKMGzcOd+/ehbGxsWKfg4MD5syZw/vd1aTueBcVFWHMmDEoLCzEhx9+qNjn6uoKDw8PfPPNN286arun7lj7+vri0KFDEIlEiu0ymQza2trw8/PrcN+evSp1x1tXVxcAUFVVBXd3dwwbNgw7d+6Elha/t3sdjY2NMDAwwP79+1VWwfT398e9e/eQmZkpXDgNFhoaiszMTJw4cQJisVjoOBrp4MGDmDx5MrS1tRXbZDIZRCIRtLS00NDQoLKPXo+dnR3Gjh2L5ORkxbbExERER0ejsrJSwGRvl47QAUh45ubmMDc3f2G/R48eAUCbDzJaWlqKWQ96MXXH28XFBXp6evjjjz8URVJTUxPKy8thZ2f3pmNqBHXHetOmTYiOjla0q6qq4Onpib1798LV1fVNRtQo6o438GQGafTo0YoZUhZIr09XVxcuLi7Iy8tTFElyuRx5eXkIDQ0VNpwGamlpwcKFC5GRkYHjx4+zQHqDPv74Y1y6dEllW2BgIN5//30sX76cBdJ/zM3Nrc1y9levXu1wnz1YJJHahg8fDhMTE/j7+2PNmjXQ19dHUlISrl+/jvHjxwsdT+MYGxtj/vz5iIqKgq2tLezs7BATEwMA8PHxETidZnnvvfdU2p07dwYA2Nvbw8bGRohIGq2yshLu7u6ws7ODRCJBTU2NYp+VlZWAydq/sLAw+Pv7Y/DgwRg6dCji4+Px8OFDBAYGCh1N44SEhODHH39EZmYmjIyMFM99denSBfr6+gKn0yxGRkZtnvUyNDSEqakpnwF7A5YuXYoRI0Zgw4YN8PX1RXFxMXbs2IEdO3YIHe2tYpFEajMzM0NOTg5WrVqFMWPGoKmpCf369UNmZiYcHR2FjqeRYmJioKOjg5kzZ6K+vh6urq745ZdfuFAGtWu5ubkoKytDWVlZmyKUd4C/nqlTp6KmpgZr1qzBjRs34OTkhJycnDaLOdDrS0xMBAC4u7urbJdKpQgICHj7gYj+I0OGDEFGRgZWrlyJdevWQSwWIz4+Hn5+fkJHe6v4TBIREREREZES3gRORERERESkhEUSERERERGREhZJRERERERESlgkERERERERKWGRREREREREpIRFEhERERERkRIWSUREREREREpYJBERERERESlhkURERERERKSERRIR0f+5gIAAiESiNq+5c+cKHY002KJFi+Di4gI9PT04OTkJHYeI6K3SEToAERG9mJeXF6RSqco2AwMDgdJQRzF79mycPn0aFy9eFDoKEdFbxZkkIqJ2QE9PD1ZWViovY2NjlT5Pm206f/48AODOnTuYPn06rK2tYWBggAEDBuCnn35SOd7d3V1xnL6+PpycnJCTk6PYHxAQAG9vb5Vjdu7cia5duyraf/31FyZNmgRLS0t07twZQ4YMwbFjx1SOqa6uxpQpU2BqaqqS9d69e0+99vLycpVraWhogIeHBzw8PNDQ0AAAkMvlWLduHWxsbBQzH8rZW89hbm6OxsZGxfYLFy5AJBKhR48eKtf5tLFUvk4ASExMhL29PXR1ddGnTx+kpKS0+X0cPHiwzRgvWbJE0W5oaEBERASsra1haGgIV1dXHD9+/Jnj++/xaP35Wa/y8nLIZDLMmTMHYrEY+vr66NOnDxISEp461so2bdqEkJAQ9OzZ84V9iYg0DYskIiIN0NLSAgCQSqWorq5GcXGxyv7Hjx/DxcUFR44cQWlpKYKDgzFz5sw2/YKCglBdXY3S0lL0798f/v7+L5Wjrq4On376KfLy8nDu3Dl4eXlhwoQJqKioUPQJDw/H1atXkZOTg+rqahw4cEDt88tkMkybNg11dXU4ePAg9PT0AAAJCQmIjY2FRCLBxYsX4enpiYkTJ+LPP/9UOV5PTw/p6emK9vbt22Ftbd3mfby8vFBdXa14xcfHq+zPyMjA4sWLER4ejtLSUsybNw+BgYHIz89X+1oAIDQ0FCdPnkRqaiouXrwIHx8feHl5tcn9LLa2toqMrb/L4uJixTZbW1vI5XLY2Nhg3759uHz5MtasWYPIyEikpaW9VFYioo6Et9sREWmApqYmAIC5uTmsrKzw+PFjlf3W1taIiIhQtBcuXIijR48iLS0NQ4cOVWw3MDCAlZUVmpubYWFhgS5durxUDkdHRzg6Oira69evR0ZGBrKyshAaGgoAOH/+PGbMmIEhQ4YAALp166bWuVtaWhAYGIiysjIUFBSgc+fOin0SiQTLly/HtGnTAADfffcd8vPzER8fjy1btij6zZ49G0lJSZg2bRoePXqEtLQ0BAUFtZlVa525a/XvcZBIJAgICMCCBQsAAGFhYTh16hQkEglGjx6t1vVUVFRAKpWioqIC3bt3BwBEREQgJycHUqkUGzZseOE5tLW1FTlbf+etfwPKfdauXatoi8VinDx5EmlpafD19VUrKxFRR8MiiYhIA9y/fx8AYGho+NT9MpkMGzZsQFpaGiorK9HY2IiGhoY2zzVt3boVycnJaGhoQNeuXZGVlaWy//DhwyrFSXNzMzp16qRo19XV4euvv8aRI0dQXV2N5uZm1NfXq8wkicVi/Pzzz5g/f77aBRIALFu2DHl5eQgMDFQ57v79+6iqqoKbm5tKfzc3N1y4cEFl28SJE5GcnIyysjKcOHECo0aNgqWlpdoZWl25cgXBwcFt3u/ft7FNnz4d2trainZ9fb1iEYRLly5BJpOhd+/eKsc0NDTA1NRU0a6trVUZ89ZZw5exZcsW/PDDD6ioqEB9fT0aGxu5GAMR0XOwSCIi0gBVVVUAoJiR+LeYmBgkJCQgPj4eAwYMgKGhIZYsWaLyfA4A+Pn5YdWqVXj8+DF27doFHx8fXL58WfH80+jRo5GYmKjon56erjLjERERgdzcXEgkEvTq1Qv6+vr44osvVN5n48aN8PPzg5mZGQwMDCCTydS6xitXriA7OxtTpkzB1KlT4enpqd7gKNHR0UFAQACSk5ORn5+PdevW4cqVKy99HnVt3LgRHh4eirafn5/i57q6Omhra+Ps2bMqhRQAlaLIyMgIJSUlinZlZSXc3d3VzpCamoqIiAjExsZi+PDhMDIyQkxMDE6fPv0KV0RE1DGwSCIi0gBnzpyBkZER7O3tn7q/qKgIkyZNwowZMwA8Wejg6tWr6Nu3r0q/Ll26oFevXgCAqKgoSCQSFBcXKz7oGxoaKvYDgIWFRZv3CQgIwOTJkwE8KQTKy8tV+vTu3RsBAQG4c+cODh06pLj97kVSUlIwZswYrF+/HkFBQSgtLYWxsTGMjY3RvXt3FBUVYdSoUSpZlG8lbBUUFAQnJyd069YNY8eOfaUi6YMPPkBRUZHKM1tFRUVtxtPKykplvPT19RU/Ozs7QyaT4datWxg5cuQz30tLS0vlHDo6L/dPd1FREUaMGKG4NRB4ssAGERE9G4skIqJ2TC6X4/Dhw4iMjMSsWbPazEi0cnBwwP79+/Hrr7/CxMQEcXFxuHnzZpsP9Y8ePcKNGzfQ0NCAXbt2QUdHR+UD+os4ODggPT0dEyZMgEgkwldffQW5XK7S59SpU4iMjER+fj769euHmpoatc7deovd0qVLkZ6ejrCwMCQnJwN4citeVFQU7O3t4eTkBKlUivPnz2PPnj1tziMWixEXFwcbGxtoab3a+kXLli2Dr68vnJ2d4eHhgUOHDiE9Pb3NSn7P07t3b/j5+WHWrFmIjY2Fs7MzampqkJeXh4EDB2L8+PGvlO3fHBwcsHv3bhw9ehRisRgpKSk4c+YMxGLxc48rKytDXV0dbty4gfr6esXqgn379oWuru5/ko2I6P8ViyQionbs7t27WLBgAfz9/bF+/fpn9lu9ejWuXbsGT09PGBgYIDg4GN7e3qitrVXpl5SUhKSkJOjq6sLBwQF79uxRWR77ReLi4jB79myMGDECZmZmWL58ueJ5KQCoqamBj48P4uLiMGjQoJe+XuDJzIpUKoWTkxN8fX0xbtw4LFq0CLW1tQgPD8etW7fQt29fZGVlwcHB4annmDNnziu9dytvb28kJCRAIpFg8eLFEIvFkEqlL3UbHPBkNcLo6GiEh4ejsrISZmZmGDZsGD777LPXyqds3rx5OHfuHKZOnQqRSITp06djwYIFyM7Ofu5xc+fORUFBgaLt7OwMALh+/fpL/U0QEbVHopZXeQKUiIiIiIhIQ/H/SSIiIiIiIlLCIomIiIiIiEgJiyQiIiIiIiIlLJKIiIiIiIiUsEgiIiIiIiJSwiKJiIiIiIhICYskIiIiIiIiJSySiIiIiIiIlLBIIiIiIiIiUsIiiYiIiIiISAmLJCIiIiIiIiX/A6ISU5oVMTTvAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "# Понижение размерности с помощью PCA\n", "pca = PCA(n_components=2)\n", "data_pca = pca.fit_transform(data_scaled)\n", "\n", "# Визуализация данных после PCA\n", "plt.figure(figsize=(10, 6))\n", "sns.scatterplot(x=data_pca[:, 0], y=data_pca[:, 1], alpha=0.7, edgecolor=None)\n", "plt.title(\"PCA: Визуализация данных после понижения размерности\", fontsize=16)\n", "plt.xlabel(\"Главная компонента 1\")\n", "plt.ylabel(\"Главная компонента 2\")\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Определение количества кластеров\n", "\n", "Выполним определение используя два метода:\n", "\n", "Метод локтя: Строится график зависимости инерции от количества кластеров. Этот метод помогает определить оптимальное количество кластеров, при котором инерция перестаёт существенно снижаться.\n", "\n", "Коэффициент силуэта: Для каждого количества кластеров вычисляется средний коэффициент силуэта, который измеряет качество кластеризации. График помогает выбрать количество кластеров с максимальным значением силуэта." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Метод локтя\n", "inertia = []\n", "for k in range(1, 11):\n", " kmeans = KMeans(n_clusters=k, random_state=42)\n", " kmeans.fit(data_scaled)\n", " inertia.append(kmeans.inertia_)\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(range(1, 11), inertia, marker='o', color='blue', linestyle='--')\n", "plt.title(\"Метод локтя для выбора количества кластеров\", fontsize=16)\n", "plt.xlabel(\"Количество кластеров\")\n", "plt.ylabel(\"Инерция\")\n", "plt.grid()\n", "plt.show()\n", "\n", "# Коэффициент силуэта\n", "silhouette_scores = []\n", "for k in range(2, 11):\n", " kmeans = KMeans(n_clusters=k, random_state=42)\n", " kmeans.fit(data_scaled)\n", " score = silhouette_score(data_scaled, kmeans.labels_)\n", " silhouette_scores.append(score)\n", "\n", "plt.figure(figsize=(10, 6))\n", "plt.plot(range(2, 11), silhouette_scores, marker='o', color='green', linestyle='-')\n", "plt.title(\"Коэффициент силуэта для различных количеств кластеров\", fontsize=16)\n", "plt.xlabel(\"Количество кластеров\")\n", "plt.ylabel(\"Коэффициент силуэта\")\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Кластеризация с помощью KMeans\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "optimal_k = 3 \n", "kmeans = KMeans(n_clusters=optimal_k, random_state=42)\n", "data['KMeans Cluster'] = kmeans.fit_predict(data_scaled)\n", "\n", "# Визуализация кластеров KMeans\n", "plt.figure(figsize=(10, 6))\n", "sns.scatterplot(x=data_pca[:, 0], y=data_pca[:, 1], hue=data['KMeans Cluster'], palette='viridis', alpha=0.8, edgecolor=None)\n", "plt.title(\"Кластеры KMeans, визуализированные через PCA\", fontsize=16)\n", "plt.xlabel(\"Главная компонента 1\")\n", "plt.ylabel(\"Главная компонента 2\")\n", "plt.legend(title='Кластеры')\n", "plt.grid()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Иерархическая кластеризация\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.cluster import KMeans, AgglomerativeClustering\n", "\n", "Z = linkage(data_scaled, method='ward')\n", "\n", "plt.figure(figsize=(12, 8))\n", "dendrogram(Z, truncate_mode='lastp', p=optimal_k, leaf_rotation=90., leaf_font_size=12., show_contracted=True)\n", "plt.title(\"Дендограмма для иерархической кластеризации\", fontsize=16)\n", "plt.xlabel(\"Объекты\")\n", "plt.ylabel(\"Евклидово расстояние\")\n", "plt.grid()\n", "plt.show()\n", "\n", "# Применение иерархической кластеризации\n", "hierarchical = AgglomerativeClustering(n_clusters=optimal_k)\n", "data['Hierarchical Cluster'] = hierarchical.fit_predict(data_scaled)\n", "\n", "# Визуализация кластеров иерархической кластеризации\n", "plt.figure(figsize=(10, 6))\n", "sns.scatterplot(x=data_pca[:, 0], y=data_pca[:, 1], hue=data['Hierarchical Cluster'], palette='coolwarm', alpha=0.8, edgecolor=None)\n", "plt.title(\"Кластеры иерархической кластеризации, визуализированные через PCA\", fontsize=16)\n", "plt.xlabel(\"Главная компонента 1\")\n", "plt.ylabel(\"Главная компонента 2\")\n", "plt.legend(title='Кластеры')\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Оценка качества кластеризации\n", "\n", "Подводя итоги оцениваем качество кластеризации. Для этого были вычислены средние коэффициенты силуэта для:\n", "\n", "Кластеризации KMeans.\n", "Иерархической кластеризации.\n", "Эти метрики показывают, насколько хорошо объекты внутри одного кластера схожи и насколько различаются между кластерами. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Коэффициент силуэта для KMeans: 0.5469\n", "Коэффициент силуэта для иерархической кластеризации: 0.5783\n" ] } ], "source": [ "silhouette_kmeans = silhouette_score(data_scaled, data['KMeans Cluster'])\n", "silhouette_hierarchical = silhouette_score(data_scaled, data['Hierarchical Cluster'])\n", "\n", "print(f\"Коэффициент силуэта для KMeans: {silhouette_kmeans:.4f}\")\n", "print(f\"Коэффициент силуэта для иерархической кластеризации: {silhouette_hierarchical:.4f}\")" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.5" } }, "nbformat": 4, "nbformat_minor": 2 }