From 2861766a56438c7074d05a8bbca5c5d5f442fb6d Mon Sep 17 00:00:00 2001 From: ujijrujijr Date: Fri, 29 Nov 2024 18:45:57 +0400 Subject: [PATCH] =?UTF-8?q?=D0=9F=D0=B5=D1=80=D0=B5=D0=B4=20=D0=BF=D0=B5?= =?UTF-8?q?=D1=80=D0=B5=D0=BC=D0=B5=D1=89=D0=B5=D0=BD=D0=B8=D0=B5=D0=BC?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- lab_5/Lab5.ipynb | 205 +++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 205 insertions(+) create mode 100644 lab_5/Lab5.ipynb diff --git a/lab_5/Lab5.ipynb b/lab_5/Lab5.ipynb new file mode 100644 index 0000000..e073798 --- /dev/null +++ b/lab_5/Lab5.ipynb @@ -0,0 +1,205 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Бизнес-цель: кластеризация космических объектов по их характеристикам (размер, скорость, расстояние до Земли, яркость) для выделения группы объектов с наибольшим риском столкновения с Землей." + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "df = pd.read_csv(\"..//static//csv//balanced_neo.csv\")\n", + "#убираю ненужные столбцы\n", + "df = df.drop(columns=['id', 'name', 'orbiting_body', 'sentry_object', 'hazardous'])" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.preprocessing import StandardScaler\n", + "columns = df.columns\n", + "index = df.index\n", + "# Нормализация данных\n", + "scaler = StandardScaler()\n", + "df = scaler.fit_transform(df)\n", + "df = pd.DataFrame(df, columns=columns, index=index)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Понижение размерности и визуализация" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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98fbbb+PcuXPlfrYvxmKxXPLa+9NPP8Fms+GJJ57weH89/PDDiIiIKLeLxsUcPHgQY8aMQdeuXTFixIhKPSchIcGdFbp37449e/bgww8/REREhE+vXZOw60IQufbaaz2+Mr3nnnvQoUMHjB07FrfccotX3x4AmDRpErp3745bbrml3D5tFosFcXFxAFwXkGeffRZPPfWUe33z5s1xzTXXYNmyZXjwwQcBuLotdOnSBampqe7t8vLyMH36dHz22WfIycnxeA2j0ej1ukajscJfkuWZM2cOLBYLnn32Wa9f4qX69u2LrVu3AgD69euHzz//3GP90qVL8d///hcHDx70+IXYsGHDStdxMcuWLcOff/6J5cuX45NPPvFa37VrV3z11VdYsWKFu+tCSUlJpfdf+ovjwl9e5fHlWKdOnVruRb/0q9ayfPm6snfv3u7/j4yMxD333IPZs2cjNDS0wue8/vrr+Prrr7Fnzx588skniI+Pr/TrVcbff/+NJk2aeIWcFi1auNcDwNGjR1GvXj1ER0dfcp+lfe8u9n5OT0/Hvn373J+1C134mblcf//9NxQKhcdnE3D98ouMjHQfX6m1a9dWWFNFpk6dinr16uGRRx4pt18m8M/XrSdPnnR3X/juu++wa9cuCCFw9uxZr+ekp6fjwIEDlT5HH3zwgVefVQBITk6usPaLXQ87d+4MtVqNadOmITY21t11oTJ9qEs1adLEa1nTpk2xfPly98++XCvT09Pd702NRoN33nkHQ4cO9XqNAQMGQKVS4euvv8aAAQOwfPlyrFq1yuOr/NL9CSHKrROA19fq9erV8/q8lv6BkpGR4Q7oQOWuDX///Xe5jQBlP3+tW7fG0aNH0axZM4/7T/zBaDTilVdewYQJE8q9vl1Mbm7uJa+9pZ+vZs2aeSzXaDRo1KiR1+fvYrKysjBgwAAYDAasWLECSqXSvc5oNMJsNnvsv+y16u6778bHH3+M77//HqNHj8aNN95Y6detiRh0g5hCoUCvXr0wd+5cpKene/XhWbt2LX766Sf3DWPl0Wg0WLduHUpKSrBp0ybMmjULiYmJHn/FDx8+HOPHj8epU6dgtVrxxx9/4K233vLYz9ChQ/H777/jqaeeQvv27REWFgZZltGvXz+vXxR5eXmw2WxISEio1HHm5uZi9uzZmDx58kWDx/z585Gbm4u//voLM2fOxKOPPuq+S/Xjjz/GyJEjcccdd+Cpp55CfHw8lEolZs6ciaNHj1aqjoux2Wx44YUX8OCDD3q1VJVatGgR7rnnHgwZMuSyXqP0ZoqyN9uUx9djHT16tFdNDz/8cLn7njJlileL0q233lrutm+//TaaNm0Kq9WKn3/+2X2D0jvvvFNh7bt373b/8t+/f79Hy2t1lZWVhbCwsIsGeFmWcdNNN+Hpp58ud31F75nLVdlWr+uuuw4vv/yyx7K33noLX3/9dbnbHzhwAEuWLMHHH3980b6G8+fPx4EDB/DNN9+4A9DOnTsxceJEZGZm4sknn8TNN9/s8ceBLMto06YN5syZU+4+S4Nnqdtvv90rrD7//PMeLchlXep6mJycjMWLF2P8+PHo2LGjx7q2bdtWeKy+8uVamZSUhHXr1qGoqAjfffcdnnzySSQmJnrdHKdWq3Hfffdh8eLFKCkpQUxMDP797397BV1ZliFJElavXu0RnEr50vhwIV+uDYEya9YsKBQKPPXUUxXeKF2RjIyMCv9A8LfS/uIFBQXYtGmT1z0K48eP97iBtkePHh43JJ87d8590+xff/0FWZYr/EY3GDDoBjmHwwHAdUd/WUIITJo0CQMHDvT4q/tCCoXC3fJ22223IS8vD1OmTPEIunfffTcmTJiATz/9FGazGWq1GnfddZd7fX5+PtavX4/p06djypQp7uXp6enlvmbp11Olf8Vfyssvv4zw8HCPG4XKc8011wAAbr75ZsTHx2P48OF47rnn0KJFC6xYsQKNGjXCypUrPUKAr19fVeSdd95BTk6O153pZaWkpODjjz9GmzZtMGrUKNxxxx343//+5/XLqCKlF67yboQqy9djbdKkiUfrK4AKQ1ubNm28ti3vFybg+Q3EgAEDsHfvXvz4448V1l1cXIwHHngALVu2RLdu3fDaa69h4MCB7n9Xf0hOTsa+ffu8LvwHDx50rwdcN7KsWbMGeXl5l2zV/euvvy75Xm7cuDFMJpPXufO35ORkyLLs0RIIuG4CKigo8GrtjI2N9arpYjd9TZ48Ge3bt/f4/F/o9OnTmDp1Kp544gnceuut+Prrr3H99dejb9++eO2115CVlYXmzZtj2rRpHqMzNG7cGHv37sWNN95YqaDeoEEDr9rffPPNcoNuZa+Hw4YNw4kTJzB9+nR89NFHiIqKuuTNvmWVd807fPiw+49TX6+VISEh7mMcOHAgMjIy8NJLL5U7CsSoUaPQrl07nDx5EiNGjCj3HJbe2NawYcNK/XF1+vRpFBcXe1wPSicvuPAP7spcG5KTk3Ho0CGv1ynv87d161bY7Xafb96qyOnTpzF37lzMnDkT4eHhPgXds2fP4sSJE5f8w7u0/kOHDqFRo0bu5TabDcePH6/U599iseDWW2/F4cOH8dNPP6Fly5Ze2zz99NMe78uoqCiP9WPGjEFRURFmzpyJyZMn480336zwm9BgELwRnmC327F27VpoNBqvX7SfffYZ9u3bV+6d0ReTm5vrNZRPbGwsbr75Znz88cdYtmwZ+vXr5767HPjnYiYuGLK5ojvJP/vsM2g0Go9+WhXJyMjAggULMG3aNI++bZU5DgDuYymvxq1bt160tbuyioqKMGPGDDz55JMXbaV2OBwYNmwYWrVqhTfeeAO9e/f2uBheyooVK9CsWTM0b978ottV5bFeCVmWKwzFgGu0ihMnTmDp0qWYM2cOUlJSMGLECK/345Xo378/srKyPLq1OBwOzJ8/H2FhYejRowcAYPDgwRBCYPr06V77KHteT548ic2bN7v7kVZk6NCh2LJlC9asWeO1rqCgwP0H65Uqvav6ws9eaSvpgAEDLnvfW7Zswddff41XX331okF0woQJMBgM7j+sunXrBgDo0qULFAoF6tWrh+nTp2Pu3LkeQ28NHToUmZmZ5Y6IYDabUVxcfNm1V/Z6uGvXLkydOhWvvvoqhgwZgt69e1+yX2ZZq1atQmZmpvvnbdu2YevWrbj55psB+H6tLMvpdCI/P7/Cz0OrVq3QqVMn/PXXX+UOeQUAgwYNglKpxPTp071qEEJ4hT+Hw+HRT95ms+Hdd99FXFwcOnXqdMmaL9S/f39s27bN41pUXFyMRYsWISUlxR3qBg8ejNzcXK9vDkvrvBzTp09HnTp18Oijj/r83C+++AKA61uEi+nduzc0Gg3mzZvnUecHH3wAo9F4yc+f0+nEXXfdhS1btuCLL75wj2p0oZYtW6J3797uR9l/ixUrVuDzzz/Hq6++ikmTJuHuu+/G888/H9Szq7FFN4isXr3a/ZdvTk4OPvnkE6Snp2PSpEleHc3Xrl2Lhx9+2KuvUFmDBw9GamoqGjduDJvNhh9//BHff/99uX15hw8fjjvvvBOA64aSsiIiInDDDTfgtddeg91uR/369bF27VocP37cY7v09HRMnToVn376abk1l+eXX35BixYt8MADD1S4zYsvvojMzEy0bt0aWq0Wu3btwuLFi9G2bVv3V4633HILVq5ciYEDB2LAgAE4fvw4Fi5ciJYtW3q1hgOuv8gvbH00mUxQKBT48ccf0a9fP/fyXbt2ITY2tsKvpUtNnz4d+/fvx+7du31qpTh27Bhee+01bNu2DYMGDfIYNHz79u0AXEMWJSUloVGjRj4fa1XZsmWL+w+nn3/+GevXr8f//d//lbvthg0b8M4772Dq1Knur40XL16Mnj174oUXXsBrr73ml5pGjx6Nd999FyNHjsTOnTuRkpKCFStWYPPmzXjzzTcRHh4OAOjVqxfuv/9+zJs3D+np6e6vlTdt2oRevXph7NixWLBgAWbOnImQkBCMGzfuoq/71FNP4ZtvvsEtt9yCkSNHolOnTiguLsb+/fuxYsUKZGRkePzxeLnatWuHESNGYNGiRSgoKECPHj2wbds2LF26FHfccQd69ep12fteu3Ytbrrppou2Sq1fvx6ff/45vvjii4t+DT5u3DgsWbIEY8aMcd8AeP/992P58uV49NFHsXHjRlx//fVwOp04ePAgli9fjjVr1lzy24yL1X6p62FJSQnuvfde9OzZ85LfHlUkNTUV//rXv/DYY4/BarXizTffRExMjPvaUNlrJQDccMMN6NmzJ5KSkmAymbBixQrs3r273HGvS23YsAFWq7XCbyEaN26Ml19+GZMnT0ZGRgbuuOMOhIeH4/jx4/jqq68wevRoj89ovXr1MGvWLGRkZKBp06b4/PPPsWfPHixatOiyWlonTZqETz/9FDfffDPGjRuH6OhoLF26FMePH8eXX37p/pZl+PDh+N///ocJEyZg27Zt6N69O4qLi/HTTz/hP//5zyUDZ3nWrl2LZcuWlXsvy8W8/fbbeP755xEXF4ejR496dP9yOBw4duwY1q1bh5tuuglxcXGYPHkypk+fjn79+uG2227DoUOH8M477+Caa6655LcDEydOxDfffINbb70VeXl5XhNEXOr5OTk5eOyxx9zXKMDVFWnjxo0YOXIkfvvtt+DswnDVx3kgvytveDGdTifat28vFixY4DHcStlhbjIzMz32c+FwXdOmTRPNmjUTer1eREREiPbt24u5c+cKu93uVYPVahVRUVHCYDAIs9nstf7UqVNi4MCBIjIyUhgMBjFkyBBx+vRpj2GFPv30U9G6dWsxd+5cryFiKhpeDID46quvPLYdMWKExxBCK1asENdcc42IiIgQer1epKamiokTJ3oM2SXLsnjllVdEcnKy0Gq1okOHDuK7777z2lfp+bvUo1TpEDxvvPGGR40XDnezadMmoVQqxbvvvlvudhcbXqyi4eUufJQOk+PrsVbV8GKlD41GI1JTU8WUKVPcw56VHX6rsLBQJCcni44dO3q995588kmhUCjEli1bKjw/vg4Jl52dLR544AERGxsrNBqNaNOmTblDDDkcDjF79mzRvHlzodFoRFxcnLj55pvFzp07hRBCXHvttWLIkCHi4MGDXs8tb/i0oqIiMXnyZJGamio0Go2IjY0V3bp1E6+//rp7qKaK+DIUmN1uF9OnTxcNGzYUarVaJCYmismTJwuLxXLZ+wQgJElyH3t5x2m1WkWzZs1Enz59vPZZ9jpQ6rfffhOSJImlS5e6l9lsNjFr1izRqlUrodVqRVRUlOjUqZOYPn26x/BI8HF4scpcD0ePHi1iYmLK3a6yw4vNnj1b/Pe//xWJiYlCq9WK7t27i71793psW5lrpRBCPPbYY6Jhw4ZCq9WK6Oho0aVLF49zJcQ/w4tVpKL1X375pfjXv/4lQkNDRWhoqGjevLkYM2aMx5BvPXr0EK1atRI7duwQXbt2FTqdTiQnJ4u33nrLY1++XBuEEOLo0aPizjvvFJGRkUKn04lrr71WfPfdd17PLSkpEc8995z7fZyQkCDuvPNOcfToUa9tKzO8WPv27cv9XXmp4cUqc+298LP+1ltviebNmwu1Wi3q1KkjHnvsMZGfn3/R1xHin98nl/q9U5FBgwaJ8PBwkZGR4bH866+/FgDErFmzLrmPmohTAJNfOBwO1KtXD7feemu5dzrXFj///DN69ep12V+fXY4lS5Zg2rRpHjP7XKhnz54YOXJkhV9ZElHVycjIQMOGDTF79uwKv7WoaXr27Inc3Fyvmd1qG0mSsHHjRq+ZDkstWbIES5Ys8bgZjK6uIGyjpkBYtWoVzp49656Ri4iIiCjQ2EeXrsjWrVuxb98+vPTSS+jQoYP7Zp3aKjo6Gn379r2qr9m4cWOvKZgvdNNNN110yksiIvLdsGHDLjrmbuPGjXHTTTddxYroQuy6QFdk5MiR+Pjjj9G+fXssWbIErVu3DnRJRETVCrsuEAUOgy4RERERBSX20SUiIiKioMSgS0RERERBiTejXUCWZZw+fRrh4eGVng+eiIiIiK4eIQSKiopQr169i050waB7gdOnTyMxMTHQZRARERHRJZw8eRINGjSocD2D7gVKp/g8efJkpaagJSIiIqKrq7CwEImJie7cVhEG3QuUdleIiIhg0CUiIiKqxi7VzZQ3oxERERFRUGLQJSIiIqKgxKBLREREREGJQZeIiIiIghKDLhEREREFJQZdIiIiIgpKDLpEREREFJQYdImIiIgoKDHoEhEREVFQYtAlIiIioqDEoEtEREREQYlBl4iIiIiCEoMuEREREQUlVaALoMCTZYGMc8UosjgQrlMhJSYUCoUU6LKIiIiIrgiDbi2XlmnEl7tO4UiOCVa7DK1agdT4MAzu2ACt6xsqvR+GZSIiIqpuGHRrsbRMI+auT8cZoxlRejViwjRQSRL2nzIiM9+McTc28Qi7FYVZf4VlIiIiIn9i0K2lZFlg0a/HsPdkASQA2UYrlAoJEXoVGsaE4lyxDSt3ZaJl3YiLhtn2iZH4ft8Z5BXbUNegh96ghNnmrDAsExEREV0tDLq11Lq/srH5SC5kIRCuU0OlkOCQBfKKbSixOtEoLhTpOUXIOFeMEpsT89ane4XZfScLsP5ANsK0KrRtEAlJcnVVCNOpkKoNw5Eck0dYJiIiIrqaGHRrIYdDxqfbT6DE5kBMmAZqpQRAglopIUKnQn6JHcdyTQhRK7Ht+Dlsy8jHOZMVTeqEe4TZOgYdDmcXQZaBPJMVapUS4ToVJEmCJEmoa9C7w3KjuLDAHjQRERHVOgy6tUxaphEf/nYc24/nweaQkW20QqtWIlKvBgAUWR0w25woMNuhkIBXVx+CQwjEhWqQX2JHdKjGva88kw02p0BOkQUlNic0KoWr60NsGKJDNdBrlMgulFFkcQTqcImIiKgWY9CtRdIyjXj5+7+QlmlEsc0JAHAKAbvVAZPVAYUEKCQJshAQAlCrFBBCwGpzIl+yIS3TiNb1DYgO1SCv2IbjucWQZQFJAvRqBZRKBfKKbSi2urbTKBXQqhUI1/FtRkRERFcfJ4yoJf65+cyIYquz/G0E4JAFZAFIAMK0KoTrVRAAbA4ZxVY7jueaIMsyjuea4BQCWpUCAoBSKUGtVCBCp4bV4cTxXBNOF5SgSXw4UmJCr+ahEhEREQFgi26tcSzXhC1Hc2GxOyEqsb0AkF9sg1KpgCwLlMgCdlnGqXwzwrVqFJodCNEo4ZAFIEkosTkRopGgUkjQKBXIMloQV9+AQR3r80Y0IiIiCggG3VpAlgV+PZyDcyZbpUJuKacAnA4ZrlvVXC2+NoeMI2eLIARgd0oI06iQFBOCXJMVhWYHzLKAQgL0GhUGd+I4ukRERBQ4DLpBrnT821W7MyFfwX4kCVCfH4LMbHO1CkeH6tE8IQJRoRokRemRVWSFxeaEgIBaoUD7xEg/HQURERGR7xh0g8iFM5cVWx2Yv+EI0nOKkF9iv+z9CgBCADaHgFIhQaWU4JQFlAogMkR9/sY0EwrNDjhlGVaHjAZRISi2crQFIiIiChwG3SAgywJr/jyD5TtOIctogUqpQIROifwSO8w2J/4+V+Kf1zn/WnabqwPEiTwzzPazcMqAU5ahUSpgFwIhaiUAgfkbjnBmNCIiIgoYBt0aTJYF1v2VjYW/HEFaphEOGVAqJKhVEsI0ShgtDtgdwqd+ub6wOwWyjRaolRLCtGrIAogN06FhbCgiQ9ScGY2IiIgCikG3hkrLNGLRr8ew4UA2TLZ/hgtzyAIOm4DZdiU9civPKQCFLBCiVSI5OhQNovSuDr0AZ0YjIiKigGLQrYHSMo2Yuz4dOzPyPEJuoDhloMjiwOGcIthlGbFhWoRrVZwZjYiIiAKKQbeGkWWBL3edwpkCMwotl3+DmT/JACx2J0xWBwrNDhj0akToVUiI0HFmNCIiIgoYzoxWw2ScK8aRHBNMVgccV6d3QqWY7TLUSgUA1zi650xW7DtlRHSIhjOjERERUUCwqa2GKbI4cCqvGBnnzIEuxYvd4epGUWxzQJYBAQEhqupWOCIiIqKLY4tuDSLLAku3HMfxahhyAcAuux6FZgeKbQ7YHDK2HDuHdX9lB7o0IiIiqoXYoltDpGUaMWXVfuw6aQx0KRclAdCpFVBIEuxOGXkldszfkI76UXqOp0tERERXFVt0a4C0TCOe+XJvtQ+5AKBVKaBWKlzj+SoVUAA4bTTjw9+OY/eJfBw7a4IsszsDERERVT226FZzDoeM19ccxJ+niwJdSqWcH0IXQgB2WUChAIqtDqz9KwtHckwwhKiRGh+GwR0bsIWXiIiIqhSDbjWWlmnEi9/8iW1/5we6lEqzOWTIAnDIMoQAZOHqziALGXq1ApF6DfafMiIz38zpgYmIiKhKsetCNZWWacRL3/2FHSdqTsgFXDOlWR0yhOwKuICrlVfIAhnnSpBfYkNUiBqnC8z4cucpdmMgIiKiKsMW3WpIlgVW7DiJP08bUVNzoAwApbULQKNWwGixY9ff+QjRKAEJWPNXFro0ikbf1nUDWCkREREFK7boVkPr/srG13tPw2QN/PS+/iAA2GQBpyzgFAI6jRJ6tRKFZgc+3JyBtMzqf5MdERER1TwMutVMWqYR7/92DIXm6jG9rz8IAA6ncD1kAZtdhiRJCNUoUWxzYOWuTHZhICIiIr9j0K1GZFlg0a/HcDi7CM4gzH0SXMdYYLEht8gCpUJCbKga6dlFyDhXHOjyiIiIKMiwj241su6vbGw+kguLLTi6LFxIPv9fm0PABgFroQX5JTboNUrsOVmARnFh/2wrC2ScK0aRxYFwnQopMaFQKKTyd0xERERUDgbdakKWBb7ddxolNgfswdicewEFAI1KAYcsUGh2YOnvGWhaJxyt6xuQlmnEl7tO4UiOCVa7DK1awbF3iYiIyGcMutVExrlinCkwQxb/tHwGK6XkGl9XAIAQUCgkZOYV48PfjqNb4xh8su0EzDYnEgw61I0Jgdkuc+xdIiIi8hmDbjVRZHHA6pAhy8Eec+Huf2yxy5AkQCUD+WYHvt93Gj/sPwO7U0CpcE0dHB2iQdOEcKTGh+FIjgkrd2WiZd0IdmMgIiKiS2LQrSbCdSoUmu2wB3/O9SAE4BQCMgCnU0AhCUgAHE6gyOxAsdWJsyYr2jaIRF2DHuk5rhvXyvbnJSIiIioPR12oJorMduQUWQJdRkCUzfby+WmDFQrJPbWaxe7EvlNGmO0OWO0yiiyOgNRJRERENQuDbjUgywLz1qfDVgtuQquMsr0SZCGgUihgtTtxMKsIWpUC4Tp+EUFERESXxqBbDRzLNWFvphGCOReAqw+vQxbu1l2LQ4ZDFsg1WREfoUVKTGigSyQiIqIagEG3GjicbUKRxQHm3IoJADaHjJSYEN6IRkRERJUSlEH37bffRkpKCnQ6Ha677jps27Yt0CVdlFOWYXfWsrvQLoMQwO6TRk4XTERERJUSdEH3888/x4QJEzB16lTs2rUL7dq1Q9++fZGTkxPo0ipUbHWw20Il7fo7H+v+yg50GURERFQDBF3QnTNnDh5++GE88MADaNmyJRYuXIiQkBB8+OGH5W5vtVpRWFjo8bjaFBK/ir8UpQJQKQCrw4nv9p1hqy4RERFdUlAFXZvNhp07d6J3797uZQqFAr1798aWLVvKfc7MmTNhMBjcj8TExKtVrlt8hPaqv2ZNI0GCQqGATq3EaaMZGeeKA10SERERVXNBFXRzc3PhdDpRp04dj+V16tRBVlZWuc+ZPHkyjEaj+3Hy5MmrUaqHBIOON6JdgkMWkGWB2DANFADH0iUiIqJLqvUDkmq1Wmi1gW1R3XCg+vYfrk5kCCSE6wCFxLF0iYiI6JKCqkU3NjYWSqUS2dmeNytlZ2cjISEhQFVdnCwL/Li//NZmuoAMZOQVIz5ch6SokEBXQ0RERNVcUAVdjUaDTp06Yf369e5lsixj/fr16Nq1awArq1jGuWJk19Kpf33lBHCu2I5jZ02YsfoA0jKNgS6JiIiIqrGg+/53woQJGDFiBDp37oxrr70Wb775JoqLi/HAAw8EurRy7T6Rj7xiW6DLqBEkAM0TwlA/MgT7TxmRmW/GuBuboHV9Q6BLIyIiomoo6ILuXXfdhbNnz2LKlCnIyspC+/bt8eOPP3rdoFYd7D9VgAU/H4Wdc0VUikGvRtP4CEgKCanaMBzJMWHlrky0rBvB2dKIiIjIiyQEpyooq7CwEAaDAUajEREREVX2OmmZRsxcfQD7Thlh4vS/l6SQgOsaRiMlNsy1QAhkFVqQX2zDPdcmoWlCOAx6NVJiQhl6iYiIglxl81rQtejWBLIs8OWuU8gz2aCAYMithHCtCjFhrtEx8ottOJZrQm6RFUVWB176/i+EalSoF6lH+6RIDO7YgN0ZiIiIKLhuRqspMs4V40iOCQkGLSwO9luoDKVCAbtDRn6xDWmZRuQUWVFscwACCFEr4RQCp40WbD12DvPWp/NGNSIiImLQDYQiiwNWuwytSgmrg+25lWF1OKBSSjiWa4LF4YTTKcMpAyFaJcJ0akTo1HDKMhyywDmTFSt3ZXKaYCIiolqOQTcAwnUqaNUKFFnsgS6lxrA5BEqsDhhL7FBIgMUuQ62UEK5VQ5IkSJKEEI0KhWYHIvQapOcUcZpgIiKiWo5BNwBSYkKRGh+GY7kMYpWlUQFnCq0otjnhcAIqpYToUA20agXsThlWuxNCCDhlGUoFYLXLnCaYiIiolmPQDQCFQkL7xEjkFFoDXUqNERumw13XJCI1PhRN6oSe76oA5JqsOFtkRa7Jer7frhMFJXZo1QpOE0xERFTLMegGgCwLLN18HE52Ia00WRbo3iQWHZKi4JQBrUqBvGIbLHYZCgmQJAGHLMPucOLAaSOi9GokRYXg2FkT9p4swLGzJvbZJSIiqmXY5BUA6dlF2HuKowL4osTuRFJkCLo0jMafpwthtNghhAwhAIsT7j8anADssoxNR3LxwJJtKLHLUADQaZRIjQ/DwA71EaZVocjiQLhOxXF3iYiIghiDbgB8uzeTrbk+MtscmPTVfpw1WZFvssFsdwKSBIfzn3GIJbgmlpAFkF9ix29HziFMq0J0mAZJUSHYeuwc1h/IRnSIBk4BKBVAo7gwjOyWgrYNIt2vJcsCGeeKGYaJiIhqOAbdADjG0QB8ZnUI7D1VgJZ1DdApFcgpNKPE7oSAq/+NVi0BcN2YVjrZnwBgsjpgsTuRU2iBVqWA1S6joMQOvUYJu0Pg2Nli7MjIw8Q+zXB7+/pIyzRixc6T2J9ZCLPNCb1GiTb1I3Bnp0ROQkFERFTDMOheZbIscDq/JNBl1CgSXF0T6oRrEaZTIb/ECotTRulcGwKAQwaEkL364UoSoFICFocMi12GSinBbnNCo1IgVKuEBCXyTDb8d+1hyELg820ncSy3GHKZmbFP5pXg4JkiPH9LS4ZdIiKiGoQ3o11lGeeKYbY6A11GjSLgCrt/55Xgz8wC7D5RAJvjny4LAoDDKeCQBcrOMyeVroQECNf/2s9vV2hxINdkg9FiR6hWhfwSV9g9cKYQshAI0agQoVMjRKOCLAQOZhXhvV+P8YY2IiKiGoRB9yorsjjgBPt7Xo4sowX7MgthtjuhUXqew/LiZ2nGvZBCAtQKCUqF5Bpv1+qAkAWyCy0AgAidGmqlApIkQa1UIEKnhkICtv+dh2O5Jr8fFxEREVUNBt2rLFyngkGv8QpqdHFqpYTS3gSyACRJgqoS716lJEEhSR5BWCG5Qq5CAjQqBRyygM0pwykLaNVKSJLnv40kSQjVqmCyOHA4m0GXiIiopmAf3assJSYUbRpE4FiuCbYS36cA1iglNIgOQau6ERBCYM+JfGQVWuEI8m/UbRcMU2F1yFAqJEgQ7q4NF54CCYBKqXDfnFZKXeaPjNLnlnZ5uPTgCkF+oomIiIIIg+5VplBIuLNTIg6eKcKekwWwOOQKt1UCCNOpEBGiRlyYFimxoeieGot2iZFIiQkF4OrzazTbsfdkPr7ddwaHzhSi2CYHVRwrL8QKAE5ZAJLrPF04XJtK4ZpUwiG7+uSW3Vfp/oQAHM7zE05AglIlwWJ3IlSrgmefBwGT1YEwnQpN64T7/wCJiIioSkjiwuauWq6wsBAGgwFGoxERERFV9jppmUYs+vUofj2cC6PZ7jEWbHy4Bk/f3BwD2zfwaTxXWRY4lmvCwawinC2ywmK1Y81fOTiea4JTBvRqBQQAo9kOe8X5usZQSK6wKkmAUnKNvFC2dVajlBCiUUGjklBodkCrUsDmlOFwCkiSqwuDWim5ukEoFWhg0OHYuRKoFECEXgOVQoJDFii22uGUgR5N4/DGXe29/g047i4REdHVVdm8xqB7gasVdIF/gumBM4U4dKYIeo0SLetFoHtqHFSV6YBaCaWBevORc7A6ZOjUCkSGqFFssSOr0FbjW35L46SAK/DGhGqgVgC5xXbIQkCvVqJBpB5Wp4BCAhrHhuBwjiuUCgGoVRLsThkGvRoGnRpHc4thsTuhVEjQqRRQKRVQShIaxoXi+QHew4ulZRrx5a5TOJJjgtUuQ6tWIDU+DIM7NuBQZERERFWEQfcyXc2ge7XIssC6v7Lw3b4zOGO0QCG5wt0ZowV5xVav/q81lUopQa1QQKOSoFcpYXHIcMoy1CoFIrQq5Jsd0KokNKsTjjCdGiaLA6eNZhhLbIgN08IQokGR1Y5zRTYUWexQKhVIjNLjuoYxGNzJO7imZRoxb3068optqGvQQ69Rwmxz4ozRjOhQDcbd2IRhl4iIqApUNq+xj24toFBI6Nu6Lm5qmeDxFbvJ6sAb6w7hl0O5qAk9Gcq23pZO9VtKpQD0aiWEAKx2GRa7E04ZkCQBi0N2dXGAQJHFiX2njGgQHYLoEA20KgU0aiWyCq04llsCWbhafrUqJcK1KrSoa8Bz/Vt4tbDLssCXu04hr9iG1Pgw90gNYToVUrVhOJJjwspdmWhZN4LdGIiIiAKEw4vVIgqFhEZxYWiXGIlGcWFo2yAS791/DXo2jUOIRolwnQp1IzRoEKVDqFYZ6HK9lOZapQRIFzRCyzJgtTshhIBapYDNcf4mNNf9aghRKxGh1yBEo4QsXF0cHuyeAodTRq7JBpPVAZVSgk7t6q5gtjuRW2xDWmYBTpQzk13GuWIcyTGhrkFf7nBkdQ16pOcUIYPTPRMREQUMg24tp1IpMKFvM7Stb4BerYRdBix2GXq1EhqlBCVcoxoErD7JNRzYha25F84tJ8M1O5rVIcPucP4TihUSlAoFlEoF1EoFDHoN1EoJR86aUGC242S+GbIsXAFX4RpzV6VwBV5ZFjiZV4L8EptXXUUWB6x2GXpN+WdHr1G6JqOwOPx0JoiIiMhX7LpAaF3fgOdvaYkVO09if2YhzDYn9Bol6ht0yC60wGR14O9zxTDZKtfBQaVwdSu40tlyJZwfNsz5z3S/KgUqHDFChqtLgVP+5/myAPRqyT12bunkD0azHduP58HmcA0vZj9/s5pS4RqNQSFJUCkl2JwCR7JN6JQc7fFa4ToVtGoFzDYnwnTeHyOzzQmtWoHwctYRERHR1cHfwgTAFXZb1o3wGibrrzOF+HLXKUSFavDHsXMob9hfBQBJAThluPu3AoBDFtCrFCi2uboU+DqpRWSIGhqlAvklNvcNc2XHwQW8++qizDoBV3eNcJ0a5c0FnHGuGE5xPkzLsvtYNCoF1CoFnE4ZgITcYitkWXj0tU2JCUVqfBj2nzIiVRvm0X1BCIEzRjPaNvhnvGMiIiK6+hh0ya20D29ZZQPwur+y8db6w7DKMhRQwCnLkGVAff5GLVl23fQlhIAsAJ1agQi9GhaHDJuPKVcBV79a6Xx3gtL4Wtqa63pJCbIsyp1QolS4VuUO3i6uyR8UErD3ZKHX9jIAi0OG9XyilySB1fuzkGuyeQwZplBIGNyxATLzze6+uheOujCoY33eiEZERBRA7KNLl1QagB/u3gi9WiQgUq+FQa9GmE7tGo1AAkK1SigVEhSSa3peSECY1vV3lIBwj+pQ2iJb7utI/2yjVLomazhnssJ+Pswqy7xbZeG6KU0AHt0aFHAtVytdtRRZ7LA5XC3KdqeMghIbnE4ZsgCEkKEq85plle4zQqdGSnQI9p9yDSWWlml0b9O6vgFj/52KpJgQnMwvxoEzhcgvsaJtg0gOLUZERFQNsEWXKk2hkDD6hkYw212tllF6NWQZyDSaca7YBoVCggISdGpX6LU5BJQKICZUizNGi0eXgvKoFBKEcM1aplIqUGixwyELhGqUsDtlWMp0zpUFXJNAnN9faX9cAVfAblUvAoezTSiy2GGyOqCUJEACVAoF4iK1OJFvhgQJCoWrz0XpPsrWplJKaFk3AuEhGoTp1V5DhqVlGvHV7kycLbRCll03vtUJ12Fgh3oMuURERNUAgy75pHV9A8bf2MQ9G5hdlpEYFYJOyVFIjgnB1mN5MNscMIRooTzfb/d4bhGUCleMlMs0wZZtiQUkNIgOwdlCC0LUSjSIDkXGuWJoVAooJCDXVP4sbu7pflUKOGQZOrUSXRrFICZMizCtGvsyCxAdooGkkBCiVqJNfQOsDifSzxZDJQEalRIKCbA5ZK+xhJOiQ5Ac6+pje+GQYSU2p8dkEXUj9TDbnPg7rwTzNxxhiy4REVE1wKBLPqvoxjWFQkJa83+mxC22ytCoXMN7aVUKxIRqYHMKFFnscMoCsnCNdSvO9+eN0quhUykBCMSEqnEiT4JerUROkdXdZ7YidqeMEI0KbRsYEBOmBQDoVAo0iNLjlrZ1USdCj6Z1wpASHYr/LNsJQEChcIVolVIBhUKCwynDdr6VWKGQEKlXo9BsR7hOBUlyDTlWcM6OHRl52Hosj5NFEBERVXMMunRZyrtxDfAOwQUlNrz36zHIskCR1YEInRohGiXsTlfQdcoyisx2XNcwBs8OaA6zzYn5G47gtNEMAQGzzYES66XHopUF0LpeBJLPj3KQZ7Ji98kCqJQSftiXBZ1GidT4MHRpGIMSmxMhGhVKrA7YHLJXS7EMQBICf58rRmaBBRF6FWJCtcgympFvtuODTceRbbIiUq9GbJgWUaEa93MvbPkt7xwRERHR1cGb0cjvys7AFhniasVNrRMOrUrp7nerUkpQKlw3nGlUStzari5S48PR5vyNXNckR0OjUuBcsa3S0xNn5BbD6ZSRmV+CrefHyE2NC0fDuDBE6jXYf8qIDzcfR77ZjvhwrXtoMVl4j/urPz+TmkalQE6hFbtP5CPLaEGUXoMGUXoIAeQX27D7ZD7yiq0edXCyCCIiouqBLbpUpUonVtCplGhd34DjuSYUmh1wygLK82PcRurVaJcY6X5OaavwtQ2jMWnlPtjMlQuMhVYHDmQV4lyxDRqVAh0SIxF9vhtDabeCtEwjcs5PgqGQ4BoOrZx92WVXtwqVu0uDa7a4hAgtjuYWw2xzAhAotjnw+9FzaFUvAjGhWoTrVBVOFiHLotzuHkRERFQ1GHSpSnlMrBAfhqikKBRZHLA7ZaiUErKNFrRLjPKaWEGhkNAsIRz1DHoUmosqHKmhlBJAfLgWN7dJwPoDZ1E3QodwvdpjG0mSkBIdgqNnTbA6ZOhUCigVEpwy4JRd/XMFXKM/KCWgxOaALAM2WUCvVkKlVOBobjGcsgyNSgGrwwlZuKYD3pGRD4NejZhQDVRKCV0axXocU1rmP32XrXYZWrUCqfFhHmPzEhERkX+x6wJVqdKJFaJDNedvUHMi9PwkDjmFVsSEaSucWKHI4oBCIUGjvHSrZ4hOhQZRIUiJCYNSkhCiLf9vOCdcrbgKSYJTuP6/dNpfAOenAZagVSvRPCECTeuEIUyjQly4BjaHE1aHEwa9BmqlBIdTuLs7OGQBo9mGk/klOFtkRbtEg/uY0jJdY/DuO1kAlUKBCL0KKoUC+04WeI3NS0RERP7DoEtVrnV9A8bd2ARtGhhQYLYhI7cYBWbbJSdWCNUqkV9ig0atxMWyrkoBxIVp0bROOJrWCYNWrTjftcCbyWKHSqlAqEYJtVIBp4Drxji4Aq7m/CxvCklCZIgaseFaaFQKlNiccMpAiEYFq8OJIovdY78KuIZSA4BwnRp7TxohywKyLPDlrlM4lV+CIosDB84UYu9JIw6cKUSRxYFT+SVYuSsT8oXzGBMREdEVY9cFuiouNiTZpUhwdSdwOssPg9EhGqTGh2FQx/poFBv2T1cJ7T9DfwGuqYnzzXZE6FRQKYBCiwMhGiUACWqlhCKLAxaHE7IsEKFXI/x8q3C4TolT+TYoFYBOJeGsyXZ+ggjXDWwKSYJGJcEhA1qVAkIA6dmuURcAYM+JApwrtsMpu4ZAU52/CS+vxAalQoHdJ/I5QgMREVEVYNClq6aiIckqUmx1IlKvxjmTDdYKQq4CQJhOjcf/nepuGR7csQEy8804kmNCXYMeeo0SZptrNrd6Bj1iQjTYn2mE2S7DZHVCdb4ltzRMK5UKNIjSwSkAs80JtVIBvVoJs92JArPDPcWxLLuOSatSQJIkKCXhGrbM5oDRbEeRxQFZCJwuMMMpBCJ0anfwVislROjUKLTYcbrADKPZXu7xERER0eVj1wWqtkpHMLjYZBF6tQJRIWqElumTe7GuEgPa1oXVKUMWrtnUtCoFBARKbE4UWhyIDNGga6NoAJL7eU3iw9G6fgQkSYLRbD8/BjAgSa4W3NLJJjQq1/THdqeAQiEhXKdCodkOq1OGRqnwaF0GXDfHaZQKWJ0yChl0iYiI/I4tulRtNTDocc7kGqPWNVuZaygwCa6byJzCNQyYJEleY9aW11UiKSoEM1YfgMMpcF3DaBw/V4xCs2vSCMC1n+tTYzBnSHucON+nNstowYqdJ1Fik9EpKQp/nSlEfrFrOmJZuGZkgyxBdX6oNLtThl2W0TguFCkxoTCa7dCeH6FBf76bxD8ErA4ntColIi4YIYKIiIiuHIMuVVtbjp+DUy4bDSX32LeAgEJyjU1rsTu9xqwFvLtKHDtrcndnCNOpEB2qQZHVAbtDhlqlgCSA/BI7TuSXoFFcGGRZYNWeTOSX2N1T/YZolNh8NBfFVicEAJtTQCkJqBUKOBwyTFYHosO0GNktBQqFBINejXoGPc6c755Qto9uic0BtUKBugYdDAy6REREfsegS9XW2SIrIJXONOaELAQkAUByzaqmVEiwOmREhWi8xuEtT5HFAatdht6gdC2QXK2wpZyyQHaR1d06nHGu2B2M3d0OJAl6tauef4Ynk2B1CFgdNsSGaTCxT1O0aRAJwDWOcPukSFgdTtidMoosTpjPT5YRHeIac7dDkvc4wkRERHTlGHSp2ooL10KtUkB9fmQGhyyglFyjHEgArE4ZCknCTS3jKzV6Q+ksbWabE2HltABfOKPZhcFYCIHjuSYIAPEROhRZHCixOaBVK6FWSJAk4NqUaNzatp57n6XjCGfmm5FXbEODKBWUkgSnECiyOBAdqqlwHGEiIiK6MrwZjaqt6xvHop5BB7PNiagQNfRqVx9XpyzgFK7m1KToENx7bXKl9lc6S9sZoxlCeI7iIITAGaMZTeLD3a2rZYMx4Aq+hWYHQjQq6NQqRIZoEBmiQbsGkeiWGotujWKRb7a7hxUrVfbmOIcsUGhxwCGLS44jTERERFeGLbpUbalUCjzSozFe/u4vGEvsCNepEKZVwmqXUWJzwKBXY3zvJlCpKvf3WtnW1fKGHruwddVj+mJtGOxOGU5ZQKWQALj62MaEapEYpQckyavrQ1lXMo4wERERXR4GXarWbm9fHwDw7i9HcdpogcMpoFJKaBgbhtE9GrnXV1Zp6+qXu07hSI4J2YUytGoF2jaIxKCO9T1aVy8MxuE6NRQKwGJ3wuaUoVMp0TA21DXOGLy7PlzI13GEiYiI6MpI4sLvcGu5wsJCGAwGGI1GREREBLocOs/hkLH5aC7OFlkRF67F9Y1jK92SWx5ZFpVuXU3LNOLLXaeQnl2E9GwTSuxO1I3QoVFcGKJCNQBcXR+O5JjQtkEknh/QosJ9+fK6REREVL7K5jW26FKNoFIp0KNZvN/250vratluB3tPFmDFrlOw2mWolQo4ZVFh14cLlQbmIzkmWO2uluTU+DAM7tiA/XSJiIiqAIMuUSWUBuNGcWFoUie8Ul0fyrbeZhnNWLErE/nFNlffYIOrb/D+U0Zk5pt5UxoREVEVYNAl8lFlbiwr23prsTmRaTTD4RTokBjpHtosTKdCqjYMR3JMWLkrEy3rRrAbAxERkR8x6BJdhot1fUjLNGLe+nTknW+9dWhlHD9XDKcs8OfpQrSub3D37ZUkCXUNeqTnFCHjXDFvViMiIvIjjqNL5EeyLPDlrlPIK7YhNT4MYToVnLKABAlRIWpYHE4czy0unccYQOnMb3K5w5IRERHR5WPQJfKj8qYNVisVUCokOGQgRKOC0WxHkfWfUHupYcmIiIjo8jDoEvmRe9pgjdK9LFynQoRehRKbA0oJcMoCdocMoPwZ2YiIiMg/GHSJ/OjCaYMBVz/chrFh0KqUMJrtEBBQKCSYLA4cyTFdclgyIiIiujwMukR+VDpt8BmjGWXnYokO1aB1vQiolApoVAqcM9lQYLahbYNIDi1GRERURdgpkMjPujSMxl+nC5F22oiG0aHQa1Uw25w4V2xDuwYG3NkpEQkGHWdGIyIiqmIMukR+UnbsXJPFgXyzDXnFNkSFaBAdqil3UgkiIiKqOgy6RH5w4di5dQ16lFgdyDhXjFCtCvddl4ybWtZh6y0REdFVxD66RFeovLFzlQoJ4Xo1Wtc3wCkLbD2eF+gyiYiIah0GXaIrVN7YuaUunPmMiIiIrh52XSC6Qu6xcw3KctfrNUpkF1565jNZFsg4V4wii4M3qhEREfkBgy7RFSo7dm5YObObVWbms7I3slntMrRqBVLjwzC4YwPevEZERHSZ2HWB6ApVNHauEAJGsw1HcooQH65DUlRIuc8vvZFt/ykjIvUapMSGIlKvwf5TruVpmcardShERERBhUGX6AopFBIGd2yA6FCNe2ixXJMVW4+dw2/puThTaMGxsybMWH3AK7RWdCNbmE6F1Pgw5BXbsHJXJmRZVPDqREREVBEGXSI/aF3fgHE3NkGbBgacyi/B9uN5yC22ISZUi2uTo9EgKqTcFlreyEZERFR12EeXyE9a1zegeZ1wPPPlPljsTjSKC0WETg2cD7Cp2jAcyTFh5a5MtKwbAYVC8tuNbEREROSNLbpEfnQivwQ5JitS48MRode4Qy5Qfgtt2RvZylOZG9mIiIiofAy6RH7kbqHVVNxCa7X/00Jb0Y1sgOtmtjNGM5rEhyMlJrTKayciIgo2DLpEfuRrC215N7I5ZQGTxYEjOSZEh2owqGN9jqdLRER0GRh0ifzoclpoy97IVmC2ISO3GAVmG9o2iMS4G5twHF0iIqLLxI5/RH5U2kKbmW92j6ag1yhhtjlxxmiusIW2dX0DWtaN4MxoREREfsSgS+RnpS20pTOdZRe6Zjpr2yASgzrWr7CFVqGQ0Cgu7CpXS0REFLwYdImqAFtoiYiIAo9Bl6iKsIWWiIgosHgzGhEREREFJQZdIiIiIgpKDLpEREREFJQYdImIiIgoKDHoEhEREVFQYtAlIiIioqDEoEtEREREQYlBl4iIiIiCEoMuEREREQWlGhN0Z8yYgW7duiEkJASRkZHlbnPixAkMGDAAISEhiI+Px1NPPQWHw3F1CyUiIiKiaqHGTAFss9kwZMgQdO3aFR988IHXeqfTiQEDBiAhIQG///47zpw5g+HDh0OtVuOVV14JQMVEREREFEiSEEIEughfLFmyBE888QQKCgo8lq9evRq33HILTp8+jTp16gAAFi5ciGeeeQZnz56FRqOp1P4LCwthMBhgNBoRERHh7/KJiIiI6ApVNq/VmK4Ll7Jlyxa0adPGHXIBoG/fvigsLMSff/5Z4fOsVisKCws9HkRERERU8wVN0M3KyvIIuQDcP2dlZVX4vJkzZ8JgMLgfiYmJVVonEREREV0dPgddWZYrXH7ixAmf9jVp0iRIknTRx8GDB30t0SeTJ0+G0Wh0P06ePFmlr0dEREREV0elb0YrLCzEQw89hG+//RYRERF45JFHMHXqVCiVSgDA2bNn0bBhQzidzkq/+MSJEzFy5MiLbtOoUaNK7SshIQHbtm3zWJadne1eVxGtVgutVlup1yAiIiKimqPSQfeFF17A3r178dFHH6GgoAAvv/wydu3ahZUrV7pv9PL1vra4uDjExcX5VnEFunbtihkzZiAnJwfx8fEAgHXr1iEiIgItW7b0y2sQERERUc1R6a4Lq1atwrvvvos777wTDz30EHbs2IGzZ8/i1ltvhdVqBQBIklRlhZ44cQJ79uzBiRMn4HQ6sWfPHuzZswcmkwkA0KdPH7Rs2RL3338/9u7dizVr1uD555/HmDFj2GJLREREVAtVOuiePXsWycnJ7p9jY2Px008/oaioCP3790dJSUmVFFhqypQp6NChA6ZOnQqTyYQOHTqgQ4cO2LFjBwBAqVTiu+++g1KpRNeuXXHfffdh+PDhePHFF6u0LiIiIiKqnio9jm7z5s0xZ84c9O/f32O5yWRCnz59UFJSgv379/vUR7c64ji6RERERNWb38fR7dOnDxYvXuy1PCwsDGvWrIFOp7u8SomIiIiIqkClb0abPn06Tp8+Xe668PBwrFu3Drt27fJbYUREREREV6LSQTcqKgpRUVEVrg8PD0ePHj38UhQRERER0ZUKmpnRiIiIiIjKYtAlIiIioqDEoEtEREREQYlBl4iIiIiCks9BV6lUIicnx2v5uXPnoFQq/VIUEREREdGV8jnoVjS/hNVqhUajueKCiIiIiIj8odLDi82bNw8AIEkS3n//fYSFhbnXOZ1O/Prrr2jevLn/KyQiIiIiugyVDrpvvPEGAFeL7sKFCz26KWg0GqSkpGDhwoX+r5CIiIiI6DJUOugeP34cANCrVy+sXLnyopNHEBEREREFWqWDbqmNGzdWRR1ERERERH7lc9B1Op1YsmQJ1q9fj5ycHMiy7LF+w4YNfiuOiIiIiOhy+Rx0x48fjyVLlmDAgAFo3bo1JEmqirqIiIiIiK6Iz0H3s88+w/Lly9G/f/+qqIeIiIiIyC98HkdXo9EgNTW1KmohIiIiIvIbn4PuxIkTMXfu3AonjiAiChayLHDsrAl7Txbg2FkTZJnXPSKimsTnrgu//fYbNm7ciNWrV6NVq1ZQq9Ue61euXOm34oiIAiUt04gvd53CkRwTrHYZWrUCqfFhGNyxAVrXNwS6PCIiqgSfg25kZCQGDhxYFbUQEVULaZlGzFufjrxiG+oa9NAblDDbnNh/yojMfDPG3diEYZeIqAbwOeguXry4KuogIqoWZFngy12nkFdsQ2p8mHtkmTCdCqnaMBzJMWHlrky0rBsBhYKjzhARVWc+99EFAIfDgZ9++gnvvvsuioqKAACnT5+GyWTya3FERFdbxrliHMkxoa5B7zV8oiRJqGvQIz2nCBnnigNUIRERVZbPLbp///03+vXrhxMnTsBqteKmm25CeHg4Zs2aBavVioULF1ZFnUREV0WRxQGrXYbeoCx3vV6jRHahjCKL4ypXRkREvvK5RXf8+PHo3Lkz8vPzodfr3csHDhyI9evX+7U4IqKrLVynglatgNnmLHe92eaEVq1AuM7ndgIiIrrKfL5Sb9q0Cb///js0Go3H8pSUFGRmZvqtMCKiQEiJCUVqfBj2nzIiVRvm0X1BCIEzRjPaNohESkxoAKskIqLK8LlFV5ZlOJ3eLR2nTp1CeHi4X4oiIgoUhULC4I4NEB2qwZEcE0wWB5yygMniwJEcE6JDNRjUsT5vRCMiqgF8Drp9+vTBm2++6f5ZkiSYTCZMnTqV0wITUVBoXd+AcTc2QZsGBhSYbcjILUaB2Ya2DSI5tBgRUQ0iCR+nODt16hT69u0LIQTS09PRuXNnpKenIzY2Fr/++ivi4+OrqtarorCwEAaDAUajEREREYEuh4gCSJYFMs4Vo8jiQLhOhZSYULbkEhFVA5XNaz4HXcA1vNhnn32Gffv2wWQyoWPHjhg2bJjHzWk1FYMuERERUfVW2bx2WbcNq1Qq3HfffZddHBERERFRVbusoJueno6NGzciJycHsix7rJsyZYpfCiMiIiIiuhI+B9333nsPjz32GGJjY5GQkOAx9I4kSQy6RERERFQt+Bx0X375ZcyYMQPPPPNMVdRDREREROQXPg8vlp+fjyFDhlRFLUREREREfuNz0B0yZAjWrl1bFbUQEREREfmNz10XUlNT8cILL+CPP/5AmzZtoFarPdaPGzfOb8UREREREV0un8fRbdiwYcU7kyQcO3bsiosKJI6jS0RERFS9Vdk4usePH7+iwoiIiIiIrgaf++iWJYTAZUysRkRERERU5S4r6P7vf/9DmzZtoNfrodfr0bZtW3z00Uf+ro2IiIiI6LL53HVhzpw5eOGFFzB27Fhcf/31AIDffvsNjz76KHJzc/Hkk0/6vUgiIiIiIl9d1s1o06dPx/Dhwz2WL126FNOmTavxfXh5MxoRERFR9VbZvOZz14UzZ86gW7duXsu7deuGM2fO+Lo7IiIiIqIq4XPQTU1NxfLly72Wf/7552jSpIlfiiIiIiIiulI+99GdPn067rrrLvz666/uPrqbN2/G+vXryw3ARERERESB4HOL7uDBg7F161bExsZi1apVWLVqFWJjY7Ft2zYMHDiwKmokIiIiIvKZzzejBTvejEZERERUvVXZzGgA4HQ68dVXX+HAgQMAgJYtW+L222+HSnVZuyMiIiIi8jufk+mff/6J2267DVlZWWjWrBkAYNasWYiLi8O3336L1q1b+71IIiIiIiJf+dxH96GHHkKrVq1w6tQp7Nq1C7t27cLJkyfRtm1bjB49uipqJCIiIiLymc8tunv27MGOHTsQFRXlXhYVFYUZM2bgmmuu8WtxRERERESXy+cW3aZNmyI7O9treU5ODlJTU/1SFBERERHRlfI56M6cORPjxo3DihUrcOrUKZw6dQorVqzAE088gVmzZqGwsND9ICIiIiIKFJ+HF1Mo/snGkiQBAEp3UfZnSZLgdDr9VedVw+HFiIiIiKq3KhtebOPGjVdUGBERERHR1eBz0O3Ro0dV1EFERERE5FeXNcODxWLBvn37kJOTA1mWPdbddtttfimMiIiIiOhK+Bx0f/zxRwwfPhy5uble62pqv1wiIiIiCj4+j7rw+OOPY8iQIThz5gxkWfZ4MOQSERERUXXhc9DNzs7GhAkTUKdOnaqoh4iIiIjIL3wOunfeeSd+/vnnKiiFiIiIiMh/fB5Ht6SkBEOGDEFcXBzatGkDtVrtsX7cuHF+LfBq4zi6RERERNVblY2j++mnn2Lt2rXQ6XT4+eef3ZNEAK6b0Wp60CUiIiKi4OBz0H3uuecwffp0TJo0yWOWNCIiIiKi6sTnpGqz2XDXXXcx5BIRERFRteZzWh0xYgQ+//zzqqiFiIiIiMhvfO664HQ68dprr2HNmjVo27at181oc+bM8VtxRERERESXy+egu3//fnTo0AEAkJaW5rGu7I1pRERERESB5HPQ3bhxY1XUQURERETkV1d0R9mpU6dw6tQpf9VCREREROQ3PgddWZbx4osvwmAwIDk5GcnJyYiMjMRLL70EWZarokYiIiIiIp9d1ji6H3zwAV599VVcf/31AIDffvsN06ZNg8ViwYwZM/xeJBERERGRr3yeArhevXpYuHAhbrvtNo/lX3/9Nf7zn/8gMzPTrwVebZwCmIiIiKh6q2xe87nrQl5eHpo3b+61vHnz5sjLy/N1d0REREREVcLnoNuuXTu89dZbXsvfeusttGvXzi9FERERERFdKZ/76L722msYMGAAfvrpJ3Tt2hUAsGXLFpw8eRI//PCD3wskIiIiIrocPrfo9ujRA4cPH8bAgQNRUFCAgoICDBo0CIcOHUL37t2rokYiIiIiIp/5fDNasOPNaERERETVm99vRktPT8c999yDwsJCr3VGoxH33nsvjh07dnnVEhERERH5WaWD7uzZs5GYmFhuajYYDEhMTMTs2bP9WhwRERER0eWqdND95ZdfMGTIkArXDx06FBs2bPBLUUREREREV6rSQffEiROIj4+vcH1sbCxOnjzpl6KIiIiIiK5UpYOuwWDA0aNHK1x/5MgR3rxFRERERNVGpYPuDTfcgPnz51e4ft68eRxejIiIiIiqjUoH3cmTJ2P16tW48847sW3bNhiNRhiNRmzduhWDBw/GmjVrMHny5CopMiMjAw8++CAaNmwIvV6Pxo0bY+rUqbDZbB7b7du3D927d4dOp0NiYiJee+21KqmHiIiIiKq/Ss+M1qFDB6xYsQKjRo3CV1995bEuJiYGy5cvR8eOHf1eIAAcPHgQsizj3XffRWpqKtLS0vDwww+juLgYr7/+OgDXeGp9+vRB7969sXDhQuzfvx+jRo1CZGQkRo8eXSV1EREREVH15fOEEWazGT/++COOHDkCIQSaNm2KPn36ICQkpKpqLNfs2bOxYMEC99i9CxYswHPPPYesrCxoNBoAwKRJk7Bq1SocPHiw0vvlhBFERERE1Vtl81qlW3RL6fV6DBw48IqK8wej0Yjo6Gj3z1u2bMENN9zgDrkA0LdvX8yaNQv5+fmIiooqdz9WqxVWq9X9c3kTYhARERFRzVPpPrrVyZEjRzB//nw88sgj7mVZWVmoU6eOx3alP2dlZVW4r5kzZ8JgMLgfiYmJVVM0EREREV1VAQ26kyZNgiRJF31c2O0gMzMT/fr1w5AhQ/Dwww9fcQ2TJ09231hnNBo5FjARERFRkPC564I/TZw4ESNHjrzoNo0aNXL//+nTp9GrVy9069YNixYt8tguISEB2dnZHstKf05ISKhw/1qtFlqt1sfKiYiIiKi6C2jQjYuLQ1xcXKW2zczMRK9evdCpUycsXrwYCoVnY3TXrl3x3HPPwW63Q61WAwDWrVuHZs2aVdg/l4iIiIiCV6VGXfDlBq2qGKkgMzMTPXv2RHJyMpYuXQqlUuleV9paazQa0axZM/Tp0wfPPPMM0tLSMGrUKLzxxhs+DS/GUReIiIiIqje/jroQGRkJSZIuuo0QApIkwel0+lZpJaxbtw5HjhzBkSNH0KBBA6/XBVxTFK9duxZjxoxBp06dEBsbiylTpnAMXSIiIqJaqlItur/88kuld9ijR48rKijQ2KJLREREVL35tUW3podXIiIiIqp9LvtmtJKSEpw4cQI2m81jedu2ba+4KCIiIiKiK+Vz0D179iweeOABrF69utz1VdFHl4iIiIjIVz5PGPHEE0+goKAAW7duhV6vx48//oilS5eiSZMm+Oabb6qiRiIiIiIin/ncorthwwZ8/fXX6Ny5MxQKBZKTk3HTTTchIiICM2fOxIABA6qiTiIiIiIin/jcoltcXIz4+HgAQFRUFM6ePQsAaNOmDXbt2uXf6oiIiIiILpPPQbdZs2Y4dOgQAKBdu3Z49913kZmZiYULF6Ju3bp+L5CIiIiI6HL43HVh/PjxOHPmDABg6tSp6NevH5YtWwaNRoMlS5b4uz4iIiIiostSqQkjLqakpAQHDx5EUlISYmNj/VVXwHDCCCIiIqLqza8TRlRECAG9Xo+OHTteyW6IiIiIiPzO5z66APDBBx+gdevW0Ol00Ol0aN26Nd5//31/10ZEREREdNl8btGdMmUK5syZg8cffxxdu3YFAGzZsgVPPvkkTpw4gRdffNHvRRIRERER+crnPrpxcXGYN28e7rnnHo/ln376KR5//HHk5ub6tcCrjX10iYiIiKq3yuY1n7su2O12dO7c2Wt5p06d4HA4fN0dEREREVGV8Dno3n///ViwYIHX8kWLFmHYsGF+KYqIiIiI6Epd1qgLH3zwAdauXYsuXboAALZu3YoTJ05g+PDhmDBhgnu7OXPm+KdKIiIiIiIf+Rx009LS3MOJHT16FAAQGxuL2NhYpKWlubeTJMlPJRIRERER+c7noLtx48aqqIOIiIiIyK8uaxxdIiIiIqLqrlItuoMGDcKSJUsQERGBQYMGXXTblStX+qUwIiIiIqIrUamgazAY3H1uDQZDlRZEREREROQPPk8YEew4YQQRERFR9VZlE0YcP34c6enpXsvT09ORkZHh6+6IiIiIiKqEz0F35MiR+P33372Wb926FSNHjvRHTUREREREV8znoLt7925cf/31Xsu7dOmCPXv2+KMmIiIiIqIr5nPQlSQJRUVFXsuNRiOcTqdfiiIiIiIiulI+B90bbrgBM2fO9Ai1TqcTM2fOxL/+9S+/FkdEREREdLl8nhlt1qxZuOGGG9CsWTN0794dALBp0yYUFhZiw4YNfi+QiIiIiOhy+Nyi27JlS+zbtw9Dhw5FTk4OioqKMHz4cBw8eBCtW7euihqJiIiIiHzGcXQvwHF0iYiIiKq3yuY1n7suAEBBQQG2bduGnJwcyLLssW748OGXs0siIiIiIr/yOeh+++23GDZsGEwmEyIiItxTAwOuERkYdImIiIioOvC5j+7EiRMxatQomEwmFBQUID8/3/3Iy8urihqJiIiIiHzmc9DNzMzEuHHjEBISUhX1EBERERH5hc9Bt2/fvtixY0dV1EJERERE5Dc+99EdMGAAnnrqKfz1119o06YN1Gq1x/rbbrvNb8UREREREV0un4cXUygqbgSWJKnGTwPM4cWIiIiIqrcqG17swuHEiIiIiIiqI5/76BIRERER1QSVatGdN28eRo8eDZ1Oh3nz5l1023HjxvmlMCIiIiKiK1GpProNGzbEjh07EBMTg4YNG1a8M0nCsWPH/Frg1cY+ukRERETVm1/76B4/frzc/yciIiIiqq586qNrt9vRuHFjHDhwoKrqISIiIiLyC5+CrlqthsViqapaiIiIiIj8xudRF8aMGYNZs2bB4XBURT1ERERERH7h8zi627dvx/r167F27Vq0adMGoaGhHutXrlzpt+KIiIiIiC6Xz0E3MjISgwcPropaiIiIiIj8xuegu3jx4qqog4iIiIjIryrdR1eWZcyaNQvXX389rrnmGkyaNAlms7kqayMiIiIiumyVDrozZszAs88+i7CwMNSvXx9z587FmDFjqrI2IiIiIqLLVumg+7///Q/vvPMO1qxZg1WrVuHbb7/FsmXLIMtyVdZHRERERHRZKh10T5w4gf79+7t/7t27NyRJwunTp6ukMCIiIiKiK1HpoOtwOKDT6TyWqdVq2O12vxdFRERERHSlKj3qghACI0eOhFardS+zWCx49NFHPcbS5Ti6RERERFQdVDrojhgxwmvZfffd59diiIiIiIj8pdJBl+PnEhEREVFNUuk+ukRERERENQmDLhEREREFJQZdIiIiIgpKDLpEREREFJQYdImIiIgoKDHoEhEREVFQYtAlIiIioqDEoEtEREREQYlBl4iIiIiCEoMuEREREQUlBl0iIiIiCkoMukREREQUlBh0iYiIiCgoMegSERERUVBi0CUiIiKioMSgS0RERERBiUGXiIiIiIISgy4RERERBSUGXSIiIiIKSgy6RERERBSUGHSJiIiIKCgx6BIRERFRUGLQJSIiIqKgxKBLREREREGJQZeIiIiIghKDLhEREREFJQZdIiIiIgpKDLpEREREFJRqTNC97bbbkJSUBJ1Oh7p16+L+++/H6dOnPbbZt28funfvDp1Oh8TERLz22msBqpaIiIiIAq3GBN1evXph+fLlOHToEL788kscPXoUd955p3t9YWEh+vTpg+TkZOzcuROzZ8/GtGnTsGjRogBWTURERESBIgkhRKCLuBzffPMN7rjjDlitVqjVaixYsADPPfccsrKyoNFoAACTJk3CqlWrcPDgwUrvt7CwEAaDAUajEREREVVVPhERERFdpsrmtRrToltWXl4eli1bhm7dukGtVgMAtmzZghtuuMEdcgGgb9++OHToEPLz8yvcl9VqRWFhoceDiIiIiGq+GhV0n3nmGYSGhiImJgYnTpzA119/7V6XlZWFOnXqeGxf+nNWVlaF+5w5cyYMBoP7kZiYWDXFExEREdFVFdCgO2nSJEiSdNFH2W4HTz31FHbv3o21a9dCqVRi+PDhuNKeF5MnT4bRaHQ/Tp48eaWHRURERETVgCqQLz5x4kSMHDnyots0atTI/f+xsbGIjY1F06ZN0aJFCyQmJuKPP/5A165dkZCQgOzsbI/nlv6ckJBQ4f61Wi20Wu3lHwQRERERVUsBDbpxcXGIi4u7rOfKsgzA1ccWALp27YrnnnsOdrvd3W933bp1aNasGaKiovxTMBERERHVGDWij+7WrVvx1ltvYc+ePfj777+xYcMG3HPPPWjcuDG6du0KALj33nuh0Wjw4IMP4s8//8Tnn3+OuXPnYsKECQGunoiIiIgCoUYE3ZCQEKxcuRI33ngjmjVrhgcffBBt27bFL7/84u52YDAYsHbtWhw/fhydOnXCxIkTMWXKFIwePTrA1RMRERFRINTYcXSrCsfRJSIiIqregnocXSIiIiKiS2HQJSIiIqKgxKBLREREREGJQZeIiIiIghKDLhEREREFJQZdIiIiIgpKDLpEREREFJQYdImIiIgoKDHoEhEREVFQYtAlIiIioqDEoEtEREREQYlBl4iIiIiCEoMuEREREQUlBl0iIiIiCkoMukREREQUlBh0iYiIiCgoMegSERERUVBi0CUiIiKioMSgS0RERERBiUGXiIiIiIISgy4RERERBSUGXSIiIiIKSgy6RERERBSUGHSJiIiIKCgx6BIRERFRUGLQJSIiIqKgxKBLREREREGJQZeIiIiIghKDLhEREREFJQZdIiIiIgpKDLpEREREFJQYdImIiIgoKDHoEhEREVFQYtAlIiIioqDEoEtEREREQYlBl4iIiIiCEoMuEREREQUlBl0iIiIiCkoMukREREQUlBh0iYiIiCgoMegSERERUVBi0CUiIiKioMSgS0RERERBiUGXiIiIiIISgy4RERERBSUGXSIiIiIKSgy6RERERBSUGHSJiIiIKCgx6BIRERFRUGLQJSIiIqKgxKBLREREREGJQZeIiIiIghKDLhEREREFJQZdIiIiIgpKDLpEREREFJQYdImIiIgoKDHoEhEREVFQYtAlIiIioqDEoEtEREREQYlBl4iIiIiCEoMuEREREQUlBl0iIiIiCkoMukREREQUlBh0iYiIiCgoMegSERERUVBi0CUiIiKioMSgS0RERERBiUGXiIiIiIISgy4RERERBSUGXSIiIiIKSgy6RERERBSUGHSJiIiIKCgx6BIRERFRUGLQJSIiIqKgxKBLREREREGJQZeIiIiIghKDLhEREREFJQZdIiIiIgpKDLpEREREFJQYdImIiIgoKDHoEhEREVFQYtAlIiIioqDEoEtEREREQYlBl4iIiIiCUo0LularFe3bt4ckSdizZ4/Hun379qF79+7Q6XRITEzEa6+9FpgiiYiIiCjgalzQffrpp1GvXj2v5YWFhejTpw+Sk5Oxc+dOzJ49G9OmTcOiRYsCUCURERERBZoq0AX4YvXq1Vi7di2+/PJLrF692mPdsmXLYLPZ8OGHH0Kj0aBVq1bYs2cP5syZg9GjRweoYiIiIqLgJcsCGeeKUWRxIFynQkpMKBQKKdBludWYoJudnY2HH34Yq1atQkhIiNf6LVu24IYbboBGo3Ev69u3L2bNmoX8/HxERUWVu1+r1Qqr1er+ubCw0P/FExEREQWZtEwjvtx1CkdyTLDaZWjVCqTGh2FwxwZoXd8Q6PIA1JCuC0IIjBw5Eo8++ig6d+5c7jZZWVmoU6eOx7LSn7Oysirc98yZM2EwGNyPxMRE/xVOREREFITSMo2Ytz4d+08ZEanXICU2FJF6Dfafci1PyzQGukQAAQ66kyZNgiRJF30cPHgQ8+fPR1FRESZPnuz3GiZPngyj0eh+nDx50u+vQURERBQsZFngy12nkFdsQ2p8GMJ0KigVEsJ0KqTGhyGv2IaVuzIhyyLQpQa268LEiRMxcuTIi27TqFEjbNiwAVu2bIFWq/VY17lzZwwbNgxLly5FQkICsrOzPdaX/pyQkFDh/rVardd+iYiIiKh8GeeKcSTHhLoGPSTJsz+uJEmoa9AjPacIGeeK0SguLEBVugQ06MbFxSEuLu6S282bNw8vv/yy++fTp0+jb9+++Pzzz3HdddcBALp27YrnnnsOdrsdarUaALBu3To0a9aswv65REREROSbIosDVrsMvUFZ7nq9RonsQhlFFsdVrsxbjeijm5SUhNatW7sfTZs2BQA0btwYDRo0AADce++90Gg0ePDBB/Hnn3/i888/x9y5czFhwoRAlk5EREQUVMJ1KmjVCphtznLXm21OaNUKhOsCP+ZBjQi6lWEwGLB27VocP34cnTp1wsSJEzFlyhQOLUZERETkRykxoUiND8MZoxlCePbDFULgjNGMJvHhSIkJDVCF/wh81L4MKSkpXicWANq2bYtNmzYFoCIiIiKi2kGhkDC4YwNk5pvdfXX1GiXMNifOGM2IDtVgUMf61WI83aBp0SUiIiKiq6N1fQPG3dgEbRoYUGC2ISO3GAVmG9o2iMS4G5tUm3F0a2SLLhEREREFVuv6BrSsG8GZ0YiIiIgo+CgUUsCHELsYdl0gIiIioqDEoEtEREREQYlBl4iIiIiCEoMuEREREQUlBl0iIiIiCkoMukREREQUlBh0iYiIiCgoMegSERERUVBi0CUiIiKioMSgS0RERERBiUGXiIiIiIISgy4RERERBSUGXSIiIiIKSqpAF1DdCCEAAIWFhQGuhIiIiIjKU5rTSnNbRRh0L1BUVAQASExMDHAlRERERHQxRUVFMBgMFa6XxKWicC0jyzJOnz6N8PBwSJIU6HIuW2FhIRITE3Hy5ElEREQEupxqgefEG8+JN54Tbzwn3nhOvPGceOM58eavcyKEQFFREerVqweFouKeuGzRvYBCoUCDBg0CXYbfRERE8MN1AZ4Tbzwn3nhOvPGceOM58cZz4o3nxJs/zsnFWnJL8WY0IiIiIgpKDLpEREREFJQYdIOUVqvF1KlTodVqA11KtcFz4o3nxBvPiTeeE288J954TrzxnHi72ueEN6MRERERUVBiiy4RERERBSUGXSIiIiIKSgy6RERERBSUGHSJiIiIKCgx6Aaht99+GykpKdDpdLjuuuuwbdu2QJd0Vf3666+49dZbUa9ePUiShFWrVnmsF0JgypQpqFu3LvR6PXr37o309PTAFHsVzJw5E9dccw3Cw8MRHx+PO+64A4cOHfLYxmKxYMyYMYiJiUFYWBgGDx6M7OzsAFVc9RYsWIC2bdu6Byzv2rUrVq9e7V5f285HeV599VVIkoQnnnjCvay2nZdp06ZBkiSPR/Pmzd3ra9v5KJWZmYn77rsPMTEx0Ov1aNOmDXbs2OFeX9uusSkpKV7vE0mSMGbMGAC1833idDrxwgsvoGHDhtDr9WjcuDFeeukllB3/4Kq9TwQFlc8++0xoNBrx4Ycfij///FM8/PDDIjIyUmRnZwe6tKvmhx9+EM8995xYuXKlACC++uorj/WvvvqqMBgMYtWqVWLv3r3itttuEw0bNhRmszkwBVexvn37isWLF4u0tDSxZ88e0b9/f5GUlCRMJpN7m0cffVQkJiaK9evXix07doguXbqIbt26BbDqqvXNN9+I77//Xhw+fFgcOnRIPPvss0KtVou0tDQhRO07Hxfatm2bSElJEW3bthXjx493L69t52Xq1KmiVatW4syZM+7H2bNn3etr2/kQQoi8vDyRnJwsRo4cKbZu3SqOHTsm1qxZI44cOeLeprZdY3NycjzeI+vWrRMAxMaNG4UQtfN9MmPGDBETEyO+++47cfz4cfHFF1+IsLAwMXfuXPc2V+t9wqAbZK699loxZswY989Op1PUq1dPzJw5M4BVBc6FQVeWZZGQkCBmz57tXlZQUCC0Wq349NNPA1Dh1ZeTkyMAiF9++UUI4Tp+tVotvvjiC/c2Bw4cEADEli1bAlXmVRcVFSXef//9Wn8+ioqKRJMmTcS6detEjx493EG3Np6XqVOninbt2pW7rjaeDyGEeOaZZ8S//vWvCtfzGivE+PHjRePGjYUsy7X2fTJgwAAxatQoj2WDBg0Sw4YNE0Jc3fcJuy4EEZvNhp07d6J3797uZQqFAr1798aWLVsCWFn1cfz4cWRlZXmcI4PBgOuuu67WnCOj0QgAiI6OBgDs3LkTdrvd45w0b94cSUlJteKcOJ1OfPbZZyguLkbXrl1r/fkYM2YMBgwY4HH8QO19n6Snp6NevXpo1KgRhg0bhhMnTgCovefjm2++QefOnTFkyBDEx8ejQ4cOeO+999zra/s11maz4eOPP8aoUaMgSVKtfZ9069YN69evx+HDhwEAe/fuxW+//Yabb74ZwNV9n6j8ujcKqNzcXDidTtSpU8djeZ06dXDw4MEAVVW9ZGVlAUC556h0XTCTZRlPPPEErr/+erRu3RqA65xoNBpERkZ6bBvs52T//v3o2rUrLBYLwsLC8NVXX6Fly5bYs2dPrTwfAPDZZ59h165d2L59u9e62vg+ue6667BkyRI0a9YMZ86cwfTp09G9e3ekpaXVyvMBAMeOHcOCBQswYcIEPPvss9i+fTvGjRsHjUaDESNG1Ppr7KpVq1BQUICRI0cCqJ2fGwCYNGkSCgsL0bx5cyiVSjidTsyYMQPDhg0DcHV/FzPoEtUiY8aMQVpaGn777bdAlxJwzZo1w549e2A0GrFixQqMGDECv/zyS6DLCpiTJ09i/PjxWLduHXQ6XaDLqRZKW58AoG3btrjuuuuQnJyM5cuXQ6/XB7CywJFlGZ07d8Yrr7wCAOjQoQPS0tKwcOFCjBgxIsDVBd4HH3yAm2++GfXq1Qt0KQG1fPlyLFu2DJ988glatWqFPXv24IknnkC9evWu+vuEXReCSGxsLJRKpdfdnNnZ2UhISAhQVdVL6Xmojedo7Nix+O6777Bx40Y0aNDAvTwhIQE2mw0FBQUe2wf7OdFoNEhNTUWnTp0wc+ZMtGvXDnPnzq2152Pnzp3IyclBx44doVKpoFKp8Msvv2DevHlQqVSoU6dOrTwvZUVGRqJp06Y4cuRIrX2f1K1bFy1btvRY1qJFC3eXjtp8jf3777/x008/4aGHHnIvq63vk6eeegqTJk3C3XffjTZt2uD+++/Hk08+iZkzZwK4uu8TBt0gotFo0KlTJ6xfv969TJZlrF+/Hl27dg1gZdVHw4YNkZCQ4HGOCgsLsXXr1qA9R0IIjB07Fl999RU2bNiAhg0beqzv1KkT1Gq1xzk5dOgQTpw4EbTnpDyyLMNqtdba83HjjTdi//792LNnj/vRuXNnDBs2zP3/tfG8lGUymXD06FHUrVu31r5Prr/+eq/hCQ8fPozk5GQAtfMaW2rx4sWIj4/HgAED3Mtq6/ukpKQECoVnxFQqlZBlGcBVfp/49dY2CrjPPvtMaLVasWTJEvHXX3+J0aNHi8jISJGVlRXo0q6aoqIisXv3brF7924BQMyZM0fs3r1b/P3330II15AmkZGR4uuvvxb79u0Tt99+e1APffPYY48Jg8Egfv75Z48hcEpKStzbPProoyIpKUls2LBB7NixQ3Tt2lV07do1gFVXrUmTJolffvlFHD9+XOzbt09MmjRJSJIk1q5dK4SofeejImVHXRCi9p2XiRMnip9//lkcP35cbN68WfTu3VvExsaKnJwcIUTtOx9CuIaeU6lUYsaMGSI9PV0sW7ZMhISEiI8//ti9TW27xgrhGuEoKSlJPPPMM17rauP7ZMSIEaJ+/fru4cVWrlwpYmNjxdNPP+3e5mq9Txh0g9D8+fNFUlKS0Gg04tprrxV//PFHoEu6qjZu3CgAeD1GjBghhHANa/LCCy+IOnXqCK1WK2688UZx6NChwBZdhco7FwDE4sWL3duYzWbxn//8R0RFRYmQkBAxcOBAcebMmcAVXcVGjRolkpOThUajEXFxceLGG290h1what/5qMiFQbe2nZe77rpL1K1bV2g0GlG/fn1x1113eYwXW9vOR6lvv/1WtG7dWmi1WtG8eXOxaNEij/W17RorhBBr1qwRAMo9ztr4PiksLBTjx48XSUlJQqfTiUaNGonnnntOWK1W9zZX630iCVFmmgoiIiIioiDBPrpEREREFJQYdImIiIgoKDHoEhEREVFQYtAlIiIioqDEoEtEREREQYlBl4iIiIiCEoMuEREREQUlBl0iIiIiCkoMukRUK6SkpODNN9/02/5GjhyJO+64w2/7A4Cff/4ZkiShoKDAr/slIqqtGHSJqEYZOXIkJEmCJEnQaDRITU3Fiy++CIfDcdHnbd++HaNHj/ZbHXPnzsWSJUv8tj9f7N69G0OGDEGdOnWg0+nQpEkTPPzwwzh8+HBA6qmuKvvHzaJFi9CzZ09ERETwDw2iIMOgS0Q1Tr9+/XDmzBmkp6dj4sSJmDZtGmbPnl3utjabDQAQFxeHkJAQv9VgMBgQGRnpt/1V1nfffYcuXbrAarVi2bJlOHDgAD7++GMYDAa88MILV72eYFBSUoJ+/frh2WefDXQpRORnDLpEVONotVokJCQgOTkZjz32GHr37o1vvvkGwD9dCmbMmIF69eqhWbNmALxb9yRJwvvvv4+BAwciJCQETZo0ce+j1J9//olbbrkFERERCA8PR/fu3XH06FGP1ynVs2dPjB07FmPHjoXBYEBsbCxeeOEFCCHc23z00Ufo3LkzwsPDkZCQgHvvvRc5OTmVPu6SkhI88MAD6N+/P7755hv07t0bDRs2xHXXXYfXX38d7777rnvbX375Bddeey20Wi3q1q2LSZMmebR69+zZE48//jieeOIJREVFoU6dOnjvvfdQXFyMBx54AOHh4UhNTcXq1avdzyntWvH999+jbdu20Ol06NKlC9LS0jzq/PLLL9GqVStotVqkpKTgv//9r8f6lJQUvPLKKxg1ahTCw8ORlJSERYsWeWxz8uRJDB06FJGRkYiOjsbtt9+OjIwM9/rS8//666+jbt26iImJwZgxY2C3293H9/fff+PJJ590fwNQkSeeeAKTJk1Cly5dKv1vQUQ1A4MuEdV4er3e3XILAOvXr8ehQ4ewbt06fPfddxU+b/r06Rg6dCj27duH/v37Y9iwYcjLywMAZGZm4oYbboBWq8WGDRuwc+dOjBo16qJdJJYuXQqVSoVt27Zh7ty5mDNnDt5//333ervdjpdeegl79+7FqlWrkJGRgZEjR1b6ONesWYPc3Fw8/fTT5a4vbWHOzMxE//79cc0112Dv3r1YsGABPvjgA7z88ste9cbGxmLbtm14/PHH8dhjj2HIkCHo1q0bdu3ahT59+uD+++9HSUmJx/Oeeuop/Pe//8X27dsRFxeHW2+91R0wd+7ciaFDh+Luu+/G/v37MW3aNLzwwgte3Tz++9//onPnzti9ezf+85//4LHHHsOhQ4fc56lv374IDw/Hpk2bsHnzZoSFhaFfv34e/84bN27E0aNHsXHjRixduhRLlixxv87KlSvRoEEDvPjiizhz5gzOnDlT6fNMREFEEBHVICNGjBC33367EEIIWZbFunXrhFarFf/3f//nXl+nTh1htVo9npecnCzeeOMN988AxPPPP+/+2WQyCQBi9erVQgghJk+eLBo2bChsNtsl6xBCiB49eogWLVoIWZbdy5555hnRokWLCo9l+/btAoAoKioSQgixceNGAUDk5+eXu/2sWbMEAJGXl1fhPoUQ4tlnnxXNmjXzqOXtt98WYWFhwul0uuv917/+5V7vcDhEaGiouP/++93Lzpw5IwCILVu2eNT32Wefubc5d+6c0Ov14vPPPxdCCHHvvfeKm266yaOep556SrRs2dL9c3JysrjvvvvcP8uyLOLj48WCBQuEEEJ89NFHXvVbrVah1+vFmjVrhBCu85+cnCwcDod7myFDhoi77rrL43XK/ptfyqXOPxHVPGzRJaIa57vvvkNYWBh0Oh1uvvlm3HXXXZg2bZp7fZs2baDRaC65n7Zt27r/PzQ0FBEREe6uBHv27EH37t2hVqsrXVeXLl08viLv2rUr0tPT4XQ6AbhaO2+99VYkJSUhPDwcPXr0AACcOHGiUvsXZbpBXMyBAwfQtWtXj1quv/56mEwmnDp1yr2s7PErlUrExMSgTZs27mV16tQBAK/uFV27dnX/f3R0NJo1a4YDBw64X/v666/32P7666/3OA8XvrYkSUhISHC/zt69e3HkyBGEh4cjLCwMYWFhiI6OhsVicXcdAYBWrVpBqVS6f65bt65PXUGIKPipAl0AEZGvevXqhQULFkCj0aBevXpQqTwvZaGhoZXaz4UhVpIkyLIMwNUdwp+Ki4vRt29f9O3bF8uWLUNcXBxOnDiBvn37enwdfzFNmzYFABw8eNAjbF6u8o6/7LLSoFx6TvzpYufeZDKhU6dOWLZsmdfz4uLiKrUPIiKAfXSJqAYKDQ1FamoqkpKSvEKuv7Rt2xabNm1y9z2tjK1bt3r8/Mcff6BJkyZQKpU4ePAgzp07h1dffRXdu3dH8+bNfW597NOnD2JjY/Haa6+Vu750WKwWLVpgy5YtHi3AmzdvRnh4OBo0aODTa5bnjz/+cP9/fn4+Dh8+jBYtWrhfe/PmzR7bb968GU2bNvVofb2Yjh07Ij09HfHx8UhNTfV4GAyGStep0Wg8WpGJqPZh0CUiKsfYsWNRWFiIu+++Gzt27EB6ejo++ugj9w1T5Tlx4gQmTJiAQ4cO4dNPP8X8+fMxfvx4AEBSUhI0Gg3mz5+PY8eO4ZtvvsFLL73kU02hoaF4//338f333+O2227DTz/9hIyMDOzYsQNPP/00Hn30UQDAf/7zH5w8eRKPP/44Dh48iK+//hpTp07FhAkToFBc+WX/xRdfxPr165GWloaRI0ciNjbWPQLFxIkTsX79erz00ks4fPgwli5dirfeegv/93//V+n9Dxs2DLGxsbj99tuxadMmHD9+HD///DPGjRvn0fXiUlJSUvDrr78iMzMTubm5FW6XlZWFPXv24MiRIwCA/fv3Y8+ePe4bE4mo5mLQJSIqR0xMDDZs2ACTyYQePXqgU6dOeO+99y7aZ3f48OEwm8249tprMWbMGIwfP949SUVcXByWLFmCL774Ai1btsSrr76K119/3ee6br/9dvz+++9Qq9W499570bx5c9xzzz0wGo3uURXq16+PH374Adu2bUO7du3w6KOP4sEHH8Tzzz9/eSfjAq+++irGjx+PTp06ISsrC99++627T3THjh2xfPlyfPbZZ2jdujWmTJmCF1980afRJUJCQvDrr78iKSkJgwYNQosWLfDggw/CYrEgIiKi0vt58cUXkZGRgcaNG3t0ebjQwoUL0aFDBzz88MMAgBtuuAEdOnTwGm6OiGoeSVT27gYiIqpQz5490b59e79OM1zd/Pzzz+jVqxfy8/MDMlkGEZGv2KJLREREREGJQZeIiIiIghK7LhARERFRUGKLLhEREREFJQZdIiIiIgpKDLpEREREFJQYdImIiIgoKDHoEhEREVFQYtAlIiIioqDEoEtEREREQYlBl4iIiIiC0v8DFL9s4zRcNdIAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.decomposition import PCA\n", + "\n", + "reduced_df = PCA(n_components=2).fit_transform(df)\n", + "\n", + "# Визуализация\n", + "plt.figure(figsize=(8, 6))\n", + "plt.scatter(reduced_df[:, 0], reduced_df[:, 1], alpha=0.6)\n", + "plt.title(\"Визуализация данных после понижения размерности до 2-х\")\n", + "plt.xlabel(\"Principal Component 1\")\n", + "plt.ylabel(\"Principal Component 2\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Выбор кол-ва кластеров на основе инерции (метод локтя)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.cluster import KMeans\n", + "inertias = []\n", + "clusters_range = range(1, 11)\n", + "for i in clusters_range:\n", + " kmeans = KMeans(n_clusters=i, random_state=42)\n", + " kmeans.fit(reduced_df)\n", + " inertias.append(kmeans.inertia_)\n", + "\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "plt.plot(clusters_range, inertias, marker='o')\n", + "plt.title('Метод локтя для оптимального k')\n", + "plt.xlabel('Количество кластеров')\n", + "plt.ylabel('Инерция')\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "На основе инерции можно предположить, что оптимальное кол-во класетров находится в диапазоне 3-7" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Выбор кол-ва кластеров на основе коэф-а силуэта" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Коэффициент силуэта вычисляется с помощью среднего внутрикластерного расстояния (a) и среднего расстояния до ближайшего кластера (b) по каждому образцу. Силуэт вычисляется как (b - a) / max(a, b). b — это расстояние между a и ближайшим кластером, в который a не входит. \n", + "\n", + "Коэффициент силуэта принимает значения от -1 до 1. Чем ближе значение к 1, тем лучше качество кластеризации. Значение, близкое к 0, может указывать на то, что объекты находятся на границе между кластерами, а отрицательное значение — на неправильное назначение объектов кластерам." + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.metrics import silhouette_score\n", + "silhouette_scores = []\n", + "for i in clusters_range[1:]: \n", + " kmeans = KMeans(n_clusters=i, random_state=42)\n", + " labels = kmeans.fit_predict(reduced_df)\n", + " score = silhouette_score(reduced_df, labels)\n", + " silhouette_scores.append(score)\n", + "\n", + "# Построение диаграммы значений силуэта\n", + "plt.figure(figsize=(10, 6))\n", + "plt.plot(clusters_range[1:], silhouette_scores, marker='o')\n", + "plt.title('Коэффициенты силуэта для разных k')\n", + "plt.xlabel('Количество кластеров')\n", + "plt.ylabel('Коэффициент силуэта')\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Максимальное значение коэф-а силуэта близко к 0.4 при 3 кластерах. Коэф-т не очень высокий, поэтому кластеризация получится не очень точной" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "aimenv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}