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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Писалось и тестировалось на Python 3\n",
"\n",
"# magic для поддержки ретина экранов, например на макбуках.\n",
"# при выполнении на обычных экранах желательно закомментировать\n",
"%config InlineBackend.figure_format = 'retina'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Задание, оцениваемое сокурсниками: Центральная предельная теорема своими руками"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Постановка"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"В этом задании вам предстоит проверить работу центральной предельной теоремы, а также поработать с генерацией случайных чисел и построением графиков в Питоне.\n",
"\n",
"Выберите ваше любимое непрерывное распределение (чем меньше оно будет похоже на нормальное, тем интереснее; попробуйте выбрать какое-нибудь распределение из тех, что мы не обсуждали в курсе). Сгенерируйте из него выборку объёма 1000, постройте гистограмму выборки и нарисуйте поверх неё теоретическую плотность распределения вашей случайной величины (чтобы величины были в одном масштабе, не забудьте выставить у гистограммы значение параметра normed=True).\n",
"\n",
"Ваша задача — оценить распределение выборочного среднего вашей случайной величины при разных объёмах выборок. Для этого при трёх и более значениях n (например, 5, 10, 50) сгенерируйте 1000 выборок объёма n и постройте гистограммы распределений их выборочных средних. Используя информацию о среднем и дисперсии исходного распределения (её можно без труда найти в википедии), посчитайте значения параметров нормальных распределений, которыми, согласно центральной предельной теореме, приближается распределение выборочных средних. Обратите внимание: для подсчёта значений этих параметров нужно использовать именно теоретические среднее и дисперсию вашей случайной величины, а не их выборочные оценки. Поверх каждой гистограммы нарисуйте плотность соответствующего нормального распределения (будьте внимательны с параметрами функции, она принимает на вход не дисперсию, а стандартное отклонение).\n",
"\n",
"Опишите разницу между полученными распределениями при различных значениях n. Как меняется точность аппроксимации распределения выборочных средних нормальным с ростом n?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Решение"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy.stats as sts\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Выберем для данной задачи [Распределение Пуассона](https://ru.wikipedia.org/wiki/%D0%A0%D0%B0%D1%81%D0%BF%D1%80%D0%B5%D0%B4%D0%B5%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5_%D0%9F%D1%83%D0%B0%D1%81%D1%81%D0%BE%D0%BD%D0%B0) с параметром $\\lambda = 5$"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"mu = 5\n",
"rv = sts.poisson(mu)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Теперь сгенерируем выборку обьема 1000, построим гистограму выборки и нарисуем поверх неё теоретическую плотность распределения нашей случайной величины "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1167a1b38>"
]
},
"metadata": {
"image/png": {
"height": 277,
"width": 400
}
},
"output_type": "display_data"
}
],
"source": [
"samples = rv.rvs(1000, random_state=42)\n",
"\n",
"plt.hist(samples, normed=True)\n",
"plt.ylabel('fraction of samples')\n",
"plt.xlabel('$x$');\n",
"\n",
"x = np.arange(0,12,1)\n",
"pmf = rv.pmf(x)\n",
"plt.plot(x, pmf, 'o')\n",
"plt.title(\"PMF\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Теперь приступим с решению основной задачи — оценке распределения выборочного среднего нашей случайной величины при разных объёмах выборок. Для этого сгенерируем 1000 выборок объёма $n\\in[5, 10, 30, 50]$ и построим гистограммы распределений их выборочных средних"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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HKVeRkiRJklYX4xYmLmqP+yR5RN+TbAjsRjOqMNvdqLdsj/dPs/yu7fG6WbYrSZIkjY2xChNVdS2wENgGeMvQ5QU0IwNnV9XdEyeTzE/yiCVXk2zd7lnxKEneBDwPuBH43sD5HSfbvyLJs2k2uAP4+EyfSZIkSRpX47aaE8CbgUXAKUn2Bq6gWY1pT5rXm941VP6K9piBc88FPptkUXvPLcATaEYYfh24i2ap1wcG7jkSOCjJhTRBYxnNak77AmsDHwY+0dMzSpIkSau8sQsTVXVtkp2B42l+yO8H/AQ4BVhQVbdPo5rLgZOAFwP7A5vRLPV6HfBB4G+q6sahe86lmeD9bJrN8x4H3AZ8AfhwVZ03y0eTJEmSxsrYhQmA9of+YdMsm0nO3QAcPcM2z6UJFJIkSZIYszkTkiRJklYdhglJkiRJnRgmJEmSJHVimJAkSZLUiWFCkiRJUieGCUmSJEmdGCYkSZIkdWKYkCRJktSJYUKSJElSJ4YJSZIkSZ0YJiRJkiR1YpiQJEmS1IlhQpIkSVInhglJkiRJnRgmJEmSJHVimJAkSZLUiWFCkiRJUieGCUmSJEmdGCYkSZIkdWKYkCRJktSJYUKSJElSJ4YJSZIkSZ0YJiRJkiR1YpiQJEmS1IlhQpIkSVInhglJkiRJnRgmJEmSJHWyzlx3QJJWpG2OOX+uuyBJ0mrLkQlJkiRJnRgmJEmSJHVimJAkSZLUiWFCkiRJUieGCUmSJEmdGCYkSZIkdWKYkCRJktSJYUKSJElSJ4YJSZIkSZ0YJiRJkiR1YpiQJEmS1IlhQpIkSVInhglJkiRJnYxlmEiyVZIzktycZFmSJUlOTrLpDOp4R5J/a++9K8kvknwvyYlJtlrOfc9I8qkktya5N8lVSRYkWa+fp5MkSZLGwzpz3YGZSvJ0YBGwOfB54Erg+cDbgH2T7FZVt02jqjcBdwEXA7cA6wLPBY4Cfi/JHlX1raG2dwEubMueA9wI7AUcC+ydZO+qWjb7p5QkSZJWfWMXJoDTaILEkVX1oYmTSU6kCQLvA46YRj3Pqqp7h08m+X3gH9p69hs4vzZwJvB44ICqOq89vxbwKeBVbfsndHssSZIkabyM1WtOSbYF9gGWAKcOXX4PcDdwaJL1p6prsiDR+lR73G7o/EuAHYBLJoJEW8+DwDvbr0ckyVRtS5IkSauDsQoTNK8UASxsf8Q/pKruBC6lGTnYdRZtvKI9fndE218cvqGqrgOuBrYGtp1F25IkSdLYGLfXnLZvj1ePuH4NzcjFPOCC6VSY5I3AVsAGwK8DLwWuB47p0Pa89nPtFG0uHnFp/jS6LEmSJK0Sxi1MbNwel464PnF+kxnU+UZgl4Hv3wAOqaofroS2JUmSpLE1bmFiKhPzFWq6N1TVrgBJngDsSDPxenGS366qR73S1EfbVbXTpBU0IxY7zqBNSZIkac6M25yJib/933jE9Y2Gyk1bVd1WVV+meU3qHuDsob0jVljbkiRJ0jgatzBxVXucN+L6xApMo+Y1TKmq7gC+DjwJeObKbFuSJEkaJ+MWJi5qj/u0+zs8JMmGwG40owqXzbKdLdvj/QPnLmyP+w4XbpesnUczcfu6WbYtSZIkjYWxChNVdS2wENgGeMvQ5QXA+sDZVXX3xMkk85M8YpWkJFu3AeBRkrwJeB7N7tbfG7h0MXAFsHuSVw6UXwt4f/v19Kqa9nwNSZIkaZyN4wTsNwOLgFOS7E3zA38XYE+aV4zeNVT+ivY4uJncc4HPJlnU3nML8ASa/Sl+HbgLOLSqHpi4oaoeSHIYzQjFOUnOAW4A9gZ2ptnj4qQen1OSJElapY3VyAQ8NDqxM3AWTYg4Gng6cArwgqq6bRrVXE7zw/8xwP7A24HfoVmJ6YPAM6rq4kna/g+aUYvP00zUPopmQvbxwMuqatlsnk2SJEkaJ+M4MkFV3QgcNs2ymeTcDTQhpEvbPwAO7nKvJEmStDoZu5EJSZIkSasGw4QkSZKkTgwTkiRJkjoxTEiSJEnqxDAhSZIkqRPDhCRJkqRODBOSJEmSOjFMSJIkSerEMCFJkiSpE8OEJEmSpE4ME5IkSZI6MUxIkiRJ6sQwIUmSJKkTw4QkSZKkTgwTkiRJkjoxTEiSJEnqxDAhSZIkqRPDhCRJkqRODBOSJEmSOjFMSJIkSerEMCFJkiSpE8OEJEmSpE4ME5IkSZI6MUxIkiRJ6qSXMJFkmyT7JVl/4Nw6SRYk+U6SRUn+Vx9tSZIkSVo1rNNTPe8BXgk8eeDcnwHvHvj+qSQvrqrLempTkiRJ0hzq6zWnFwAXVNX9AEnWAt4MXAk8DXg+cDdwVE/tSZIkSZpjfYWJJwPXD3x/DvBE4NSquqmqvgl8HnheT+1JkiRJmmN9hYl1gRr4vlv7/cKBczcBv9JTe5IkSZLmWF9h4ibg2QPf9wP+u6quGDi3OfCLntqTJEmSNMf6moD9r8BRST4A3Au8DDhzqMx8HvkqlCRJkqQx1leY+CvgQOCP2u8/plnhCYAkWwMvBE7qqT1JkiRJc6yXMFFVtyb5dWDv9tTFVXXnQJENaILGl/poT5IkSdLc62tkgqq6h+Z1p8mufR/4fl9tSZIkSZp7fU3AliRJkrSG6W1kIslmwOE0G9RtCqw9SbGqqr0nOS9JkiRpzPQSJpLMB74CPAnIcorWcq5JkiRJGiN9veb0AZp9JN4PbAusW1VrTfKZbLRCkiRJ0hjq6zWnFwPnV9Wf9lSfJEmSpFVcXyMTAX7QU12SJEmSxkBfYWIxsH1PdUmSJEkaA32FieOB/ZLs0VN9y5VkqyRnJLk5ybIkS5KcnGTTad6/fpLXJvmnJFcmuTvJnUm+meToJI8ZcV8t53NZv08pSZIkrdr6mjPxVODzwMIkn6AZqbhjsoJVdfZsGkrydGARzYTvzwNX0ixH+zZg3yS7VdVtU1TzYuDjwO3ARcC5wGbAK2gmkx+UZO+quneSe68Hzprk/E0zfxpJkiRpfPUVJs6iWfY1wKHtZ3gZ2LTnZhUmgNNogsSRVfWhhypPTgSOAt4HHDFFHT8Ffhf4dFX9cqCODWmWuH0h8Bbgg5Pcu6SqjptF/yVJkqTVQl9h4rCe6lmuJNsC+wBLgFOHLr8H+APg0CRHV9Xdo+qpqm8D357k/J1JPgj8I7AHk4cJSZIkSfQUJqrqo33UMw17tceFVfXgUB/uTHIpTdjYFbigYxv3tcf7R1zfJMnhwBbAUmBxVTlfQpIkSWucvkYmVpaJFaOuHnH9GpowMY/uYeLw9vjFEdd/A/jI4Ikk3wEOrarvTaeBJItHXJo/rR5KkiRJq4C+VnNaWTZuj0tHXJ84v0mXypO8FdiX5hWoMyYpciKwG/AkYEPgecA5NAHjwiRbdmlXkiRJGke9jUwkWR94M/ByYEvgsZMUq6p6el9tTtaNiXZmfGNyEHAyzeTsV1XVfcNlqurooVPfBA5Ocg7wKuDtNJPAl6uqdhrRh8XAjjPsuiRJkjQnegkTSTYBvgY8A/gFsBHNKMFjgPXaYjfz8HyEriZGHjYecX2joXLTkuRA4JPArcCeVXXdDPt1Ok2Y2H2G90mSJEljq6/XnP6MJkj8HjCxcdxJwAY0y6xeDlwL7DDLdq5qj/NGXN+uPY6aU/EoSQ4GPg3cArykqq6a4pbJ/Kw9rt/hXkmSJGks9RUmXglcUlVnVtVDrxhV4zJgP5rJxe+aZTsXtcd9kjyi7+0eEbsB9wDTWl0pySHAJ2hGTV5SVdd07Neu7XGmIxqSJEnS2OorTDyVZvRhwoMMzJmoqluBLwCvmU0jVXUtsBDYhmZTuUELaEYGzh7cYyLJ/CSPWiUpyeuBjwE3ALtP9WpTkh3beSHD559Ns1EeNLtqS5IkSWuEviZg/w/wwMD3pTT7MAy6hWZi9my9GVgEnJJkb+AKYBdgT5rXm4ZHP65ojxOTs0myJ81qTWvRjHYclmToNu6oqpMHvh8JHJTkQuBGYBnNaMu+wNrAh2lGOSRJkqQ1Ql9h4kaa0YkJPwB2T7J2VU2EjBfRrJQ0K1V1bZKdgeNpfsjvB/wEOAVYUFW3T6OarXl4VObwEWWup1ndacK5NBO8n02zed7jgNtoRlw+XFXnzfBRJEmSpLHWV5i4GPjfSdLOmfhnmh/35yf5F2APmnkFf9dHY1V1I3DYNMs+asihqs4Czpphm+fSBApJkiRJ9BcmPkqzDOxWNKMUp9P87f2BNDtSA1xKs+qTJEmSpNVAL2Giqi4H/s/A9/tp5hfsBPwasAT4RlU92Ed7kiRJkuZebztgT6aqFgOLV2QbkiRJkuZG72GiXT51HrBBVX217/olSZIkrRr62meCJFsl+Qzwc+CbPLzBHElelOQHSfboqz1JkiRJc6uXMJHkV4D/AA4A/hX4OgP7OrTXNgd+u4/2JEmSJM29vkYm3kMTFl5aVQcBXx68WFX3AV8FduupPUmSJElzrK8wsR9wXlV9ZTllbgCe0lN7kiRJkuZYX2HiycA1U5S5D1i/p/YkSZIkzbG+wsTtwFOnKDMP+GlP7UmSJEmaY32FiUuBVybZYrKLSbYD9mVghSdJkiRJ462vMPHXwOOAi5P8JvB4aPacaL//C/Ag8MGe2pMkSZI0x3rZtK6q/iPJHwCn0ywNO+EX7fF+4PCq+n4f7UmSJEmae73tgF1VZyb5GvBmYFfgCcBS4DLgb6vqqr7akiRJkjT3egsTAFV1DXBUn3VKkiRJWjX1NWdCkiRJ0hqm15GJJGsBWwJbAetOVqaqLumzTUmSJElzo7cwkeQdwNuBJ05RdO2+2pQkSZI0d3oJE0mOA44FbgM+CvyYZgUnSZIkSaupvkYmfg+4Dtipqpb2VKckSZKkVVhfE7CfAJxnkJAkSZLWHH2FiR8Cm/ZUlyRJkqQx0NdrTqcB702yRVX9tKc6JfVsm2POn+suSJKk1UgvYaKqTk8yD7g0yfHA5TS7X09W9oY+2pQkSZI0t/rcZ+I7wBuAM5ZTpnpuU5IkSdIc6Wtp2DcCf0+zHOxXgJtxaVhJkiRptdbXKMHRwK3AC6vqRz3VKUmSJGkV1tdqTtsA5xgkJEmSpDVHX2Hix8C6PdUlSZIkaQz0FSbOBvZLsmFP9UmSJElaxfUVJv4C+E/g35PsYaiQJEmSVn99TcBe1h4DXACQZLJyVVUuDStJkiStBvr6Yf9Vmj0kJEmSJK0h+toBe48+6pEkSZI0PvqaMyFJkiRpDWOYkCRJktSJYUKSJElSJ4YJSZIkSZ0YJiRJkiR1YpiQJEmS1EmnMJHklUnm9d0ZSZIkSeOj68jE54DXTHxJcl2SI/vp0tSSbJXkjCQ3J1mWZEmSk5NsOs3710/y2iT/lOTKJHcnuTPJN5McneQxy7n3GUk+leTWJPcmuSrJgiTr9feEkiRJ0qqv66Z19wHrDnzfBthk1r2ZhiRPBxYBmwOfB64Eng+8Ddg3yW5VddsU1bwY+DhwO3ARcC6wGfAK4APAQUn2rqp7h9reBbiQ5tnPAW4E9gKOBfZu71nWy4NKkiRJq7iuYeIG4EVJ1q6qB9pz1VOfpnIaTZA4sqo+NHEyyYnAUcD7gCOmqOOnwO8Cn66qXw7UsSHwFeCFwFuADw5cWxs4E3g8cEBVndeeXwv4FPCqtv0TZvd4kiRJ0njo+prTJ4CXALcnua49d1T7utPyPtfOprNJtgX2AZYApw5dfg9wN3BokvWXV09Vfbuq/nEwSLTn7+ThALHH0G0vAXYALpkIEu09DwLvbL8ekSTTfiBJkiRpjHUNE+8F/hT4Ls2IRAGZxme2q0ft1R4Xtj/iH9IGgUtpRg52nUUb97XH+0e0/cXhG6rqOuBqYGtg21m0LUmSJI2NTq85VdX9NK/znACQ5EHgpKo6vse+TWb79nj1iOvX0IxczAMu6NjG4e1xODRMp+157We5IzBJFo+4NH86HZQkSZJWBX3tM/FR4Ns91bU8G7fHpSOuT5zvNBk8yVuBfWme5YyV2bYkSZI0brpOwH6Eqjqsj3p6MDFfYcaTwZMcBJxMMzn7VVV13xS3dG67qnYa0YfFwI4zbFeSJEmaE72EiQlJnga8Dnguzd/QLwUWAx+vqut7aGLib/83HnF9o6F10dt4AAAgAElEQVRy05LkQOCTwK3Anu0ciJXStiRJkjSuegsTSX4fOAV4DA//LT3AgcC7k7ytqv5+ls1c1R5H7b69XXscNa/hUZIcDPwTzYjEXlV1zcpqW5IkSRpnvcyZSLI3cDqwjGafh71ollHdC/hz4F7g1LbcbFzUHvdp93cY7MOGwG7APcBl0+z3ITTL3N4MvGQ5QQKazeqgmVMxXM+2NCHjemCyUQ1JkiRptdPXBOx3AHcCO1XVsVX1laq6qj0eC+wE3NWW66yqrgUW0uy4/ZahywuA9YGzq+ruiZNJ5id51CpJSV4PfIxmA77dR7zaNOhi4Apg9ySvHKhnLeD97dfTq2plbd4nSZIkzam+XnN6PvCp9sf+o1TVtUk+TbNL9Gy9GVgEnNKOdFwB7ALsSfOK0buGyl/RHh969SrJnjSrNa1FM9px2CR7zd1RVScPPMMDSQ6jGaE4J8k5NEFkb2Bnmj0uTurh+SRJkqSx0FeYWA/47ynK/KwtNyttMNkZOJ7mlaP9gJ/QzNdYUFW3T6OarXl4VObwEWWup1ndabDt/0jyPJpRkH2ADdtyxwMnVNWyGT6OJEmSNLb6ChPX8/AO0aPsSfM3+bNWVTcC01qOtqoeNeRQVWcBZ3Vs+wfAwV3ulSRJklYnfc2Z+BzwvCSnJXnEpm1JNk7yNzSvQn22p/YkSZIkzbG+Rib+EnglcATw2iTfoXn1aAvgOTSvA13ZlpMkSZK0GuhlZKKqfgG8EPgwsDbwIppXgV7cfv8wsFtbTpIkSdJqoLdN66pqKfCmJG8B5tPsFL0UuKqq7uurHUmSJEmrht7CxISquh/4r77rlSRJkrRq6WsCtiRJkqQ1jGFCkiRJUieGCUmSJEmdGCYkSZIkdWKYkCRJktSJYUKSJElSJ4YJSZIkSZ30us9Ekp2B5wOb0ux8Payq6r19tilJkiRpbvQSJpJsBHwW2BPIcooWYJiQJEmSVgN9jUz8NbAX8FXgTOBG4P6e6pYkSZK0CuorTBwAXA7sWVUP9lSnJEmSpFVYXxOwNwYuMkhIkiRJa46+wsQ1wJN7qkuSJEnSGOgrTJwKvCLJlj3VJ0mSJGkV19eciS/QTMC+NMkCYDFwx2QFq+qGntqUJEmSNIf6ChNLaJZ9DfD/llOuemxTkiRJ0hzq64f92TRBQZIkSdIaopcwUVVv6KMeSZIkSeOjrwnYkiRJktYwvc9fSLIV8FxgE2ApcHlV3dR3O5IkSZLmVm9hIsnTgH8AXjbJtS8DR1TVkr7akyRJkjS3egkTSbYALgW2pFnZ6RLgJ8CvAC8C9gG+lmTnqvppH21KkiRJmlt9jUy8myZI/DFwYlU9MHEhydrAUcBfAX8GvLWnNiVJkiTNob4mYO8PLKyqvx4MEgBV9UBVfQBYCPxWT+1JkiRJmmN9hYktaHa9Xp7FbTlJkiRJq4G+wsRSYOspyjytLSdJkiRpNdBXmPga8OokL5zsYpJdgIPbcpIkSZJWA31NwH4fzbyJi5N8EriIZjWnLYA9gN8BHgT+oqf2JEmSJM2xXsJEVV2e5NXAWcBrgUMGLge4HTi8qqaaVyFJkiRpTPS2aV1V/WuSrYEDgB2BjWnmSHwLOLeq7u6rLUmSJElzr7cwAdAGhn9qP5IkSZJWY31NwJYkSZK0huk0MpHkde0fP1dVdw58n1JVnd2lTUmSJEmrlq6vOZ0FFHAZcOfA9+VJW8YwIUmSJK0GuoaJw2mCwU/a74f10x1JkiRJ46JTmKiqs4a+f7SX3kiSJEkaG71MwE6ye5KnTVHmqUl276m9rZKckeTmJMuSLElycpJNZ1DHy5J8MMkFSW5PUkmWu0N3W2bU57LZP5kkSZI0PvpaGvYiYAFw/HLKvK69vvZsGkrydGARsDnweeBK4PnA24B9k+xWVbdNo6q30OyJcS/wQ2C6QeR6mjkiw26a5v2SJEnSaqGvMJFplplqkvZ0nEYTJI6sqg89VHlyInAU8D7giGnU837gXTRh5KnAj6bZ/pKqOm4mHZYkSZJWRytzn4mn0az81FmSbYF9gCXAqUOX3wPcDRyaZP2p6qqqr1fV96vqgdn0SZIkSVpTdR6ZSHLs0Kk9kkkHKNamCRKvAZY7J2Ea9mqPC6vqwcEL7X4Xl9KEjV2BC2bZ1iibJDkc2AJYCiyuKudLSJIkaY0zm9ecjhv4cwF7tJ9RfgwcM4v2ALZvj1ePuH4NTZiYx4oLE78BfGTwRJLvAIdW1femU0GSxSMuzZ9l3yRJkqSVZjZhYs/2GOBCmknJky0R+wBwG3DV8GhCBxu3x6Ujrk+c32SW7YxyIvAZmjBzL82P/z8GXg1cmOQ5VfXjFdS2JEmStErpHCaq6uKJPyf5KHDu4Lk5MvGeVR8TvR+lqo4eOvVN4OAk5wCvAt5OMwl8qnp2mux8O2Kx42z7KUmSJK0MvUzArqrDquq8PuqawsTIw8Yjrm80VG5lOb099rKPhiRJkjQO+tq0bq92E7mnjLj+lPb6HrNs6qr2OG/E9e3a46g5FSvKz9rjlKtISZIkSauLvvaZOBKYX1U3T3axqm5O8gKaEYWvzKKdi9rjPknWGpyDkWRDYDfgHmBlr660a3u8biW3K0mSJM2ZvvaZ2JFmV+rl+Rqw82waqaprgYXANjQ7WA9aQDMycHZV3T1xMsn8JLNeJSnJjpPtX5Hk2TQb5QF8fLbtSJIkSeOir5GJzYFJRyUG3NKWm6030wSXU5LsDVwB7EKzutTVNLtaD7qiPT5iE4wkLwLe2H7doD1ul+SsiTJV9YaBW44EDkpyIXAjsIxmNad9afbS+DDwiVk8lyRJkjRW+goTS4GnTlHmqTQ7VM9KVV2bZGfgeJof8vsBPwFOARZU1e3TrOrXgNcPndt86NwbBv58Ls0E72fTbJ73OJolb78AfHglTUCXJEmSVhl9hYn/BA5MskVV/XT4Yjsx+0Dg0j4aq6obgcOmWXbSbbmr6iyavTGm2+a5NIFCkiRJEv3NmfgQsCHw1SSvTPJYgCSPTXIAcAnNq0Sn9NSeJEmSpDnWy8hEVS1M8l7g3cDngEryc2BTmrkKAY6vqi/20Z4kSZKkudfXyARV9R6aOQz/BtxOswzs7cD5wMur6ri+2pIkSZI09/qaMwE0IxQ0S7dKkiRJWs31NjIhSZIkac1imJAkSZLUSW9hIsmvJDk1yQ+T3JPkgUk+9/fVniRJkqS51cuciSRb0uw18WTg+8Bjgetpdonetm3n2zSb20mSJElaDfQ1MnEssAWwb1X9RnvuzKqaTxMmvgSsBxzUU3uSJEmS5lhfYeLlwBer6t+HL1TVTcDBNGFiQU/tSZIkSZpjfYWJLWheb5rwAE14AKCq7gK+DBzQU3uSJEmS5lhfYeIXwGMGvv8c2HKozFLgST21J0mSJGmO9RUmrgeeOvD9O8BeSR4PkGQtYB/gpp7akyRJkjTH+goTFwB7Jlm3/f5R4CnAoiR/DVwKPBP4557akyRJkjTHelkaFvgIzatNTwR+UlUfT7IT8IfAs9synwTe11N7kiRJkuZYL2Giqq4B3j907qgkf0GzNOySqrqlj7YkSZIkrRr62rTudcAtVfWlwfNV9TPgZ320IUmSJGnV0teciTOAfXuqS5IkSdIY6CtM/LTHuiRJkiSNgb4CwBdpVnMyUEiSJElriL5+/L8L2BD4SJIn9lSnJEmSpFVYX0vDfoJmh+vXAa9JsoTm1acaKldVtXdPbUqSJEmaQ32FiT0G/vxYYPv2M2w4XEiSJEkaU33tM+FcCUmSJGkN0ykEJDkyyfP77owkSZKk8dF1ROFkBvaVSPJAknf30yVJkiRJ46BrmLiXZm7EhLQfSZIkSWuIrmHiR8DLkzx54JyTqyVJkqQ1SNcw8ffAjsDNSR5ozx3Xvu60vM/9/XRbkiRJ0lzrtJpTVZ2S5FZgf+ApwJ7ADcCS/romSZIkaVXWeWnYqvok8EmAJA8CZ1bV8X11TJIkSdKqra9N6xYAX+mpLkmSNIVtjjl/rruw0i05Yf+57oKkIX1tWregj3okSZIkjQ93rpYkSZLUiWFCkiRJUieGCUmSJEmdGCYkSZIkdWKYkCRJktSJYUKSJElSJ4YJSZIkSZ0YJiRJkiR1MpZhIslWSc5IcnOSZUmWJDk5yaYzqONlST6Y5IIktyepJF+bxn3PSPKpJLcmuTfJVUkWJFlvdk8lSZIkjZdedsBemZI8HVgEbA58HrgSeD7wNmDfJLtV1W3TqOotwAHAvcAPgSmDSJJdgAuBdYFzgBuBvYBjgb2T7F1Vy2b8UJIkSdIYGseRidNogsSRVXVgVR1TVXsBJwHbA++bZj3vB54FbAC8YqrCSdYGzgQeD7y6qg6pqj8GdgE+A+wGHDXTh5EkSZLG1ViFiSTbAvsAS4BThy6/B7gbODTJ+lPVVVVfr6rvV9UD02z+JcAOwCVVdd5APQ8C72y/HpEk06xPkiRJGmtjFSZoXikCWNj+iH9IVd0JXEozcrDrCmz7i8MXquo64Gpga2DbFdC2JEmStMoZtzkT27fHq0dcv4Zm5GIecMEctD2v/Vy7vIqSLB5xaX63rkmSJEkr37iNTGzcHpeOuD5xfpPVrG1JkiRplTNuIxNTmZivUKty21W106QVNCMWO/bZKUmSJGlFGbcwMfG3/xuPuL7RULnVpW2tINscc/5cd0GSJGlsjdtrTle1x3kjrm/XHkfNaxjXtiVJkqRVzriFiYva4z5JHtH3JBvS7PVwD3DZCmj7wva47/CFdsnaecD1wHUroG1JkiRplTNWYaKqrgUWAtvQ7GA9aAGwPnB2Vd09cTLJ/CR9rJJ0MXAFsHuSVw7UvxbNBngAp1fVXMzXkCRJkla6cZszAfBmYBFwSpK9aX7g7wLsSfOK0buGyl/RHh+xmVySFwFvbL9u0B63S3LWRJmqesPAnx9IchjNCMU5Sc4BbgD2Bnam2ePipFk+myRJkjQ2xi5MVNW1SXYGjqd55Wg/4CfAKcCCqrp9mlX9GvD6oXObD517w1Db/5HkeTSjIPsAG9K82nQ8cEJVLZvZ00iSJEnja+zCBEBV3QgcNs2yGXH+LOCsDm3/ADh4pvdJkiRJq5uxmjMhSZIkadVhmJAkSZLUiWFCkiRJUieGCUmSJEmdGCYkSZIkdWKYkCRJktSJYUKSJElSJ4YJSZIkSZ0YJiRJkiR1YpiQJEmS1IlhQpIkSVInhglJkiRJnRgmJEmSJHVimJAkSZLUiWFCkiRJUieGCUmSJEmdGCYkSZIkdWKYkCRJktSJYUKSJElSJ4YJSZIkSZ0YJiRJkiR1YpiQJEmS1IlhQpIkSVInhglJkiRJnRgmJEmSJHVimJAkSZLUiWFCkiRJUieGCUmSJEmdGCYkSZIkdWKYkCRJktSJYUKSJElSJ4YJSZIkSZ0YJiRJkiR1YpiQJEmS1IlhQpIkSVInhglJkiRJnRgmJEmSJHVimJAkSZLUiWFCkiRJUieGCUmSJEmdGCYkSZIkdWKYkCRJktTJWIaJJFslOSPJzUmWJVmS5OQkm86wns3a+5a09dzc1rvViPJLktSIz0/7eTpJkiRpPKwz1x2YqSRPBxYBmwOfB64Eng+8Ddg3yW5Vdds06nlCW8884ELgk8B84DBg/yQvqKrrJrl1KXDyJOfv6vA4kiRJ0tgauzABnEYTJI6sqg9NnExyInAU8D7giGnU8xc0QeKkqvqjgXqOBP6mbWffSe67o6qO69x7SZIkaTUxVq85JdkW2AdYApw6dPk9wN3AoUnWn6Ke9YFD2/LvGbr8t239L2/bkyRJkjSJcRuZ2Ks9LqyqBwcvVNWdSS6lCRu7Ahcsp54XAOu19dw5VM+DSRYCfwDsCQy/6vTYJL8LPI0mjHwXuKSqHpjuQyRZPOLS/OnWIUnSmmabY86f6y6sdEtO2H+uuyAt17iFie3b49Ujrl9DEybmsfwwMZ16aOsZtgXwsaFzP0pyWFVdvJw2JUmSpNXKuIWJjdvj0hHXJ85vsoLqORP4KvB94E5gW+CtNKMYX2gnbX9nirapqp0mO9+OWOw41f2SJEnSqmDcwsRU0h5rRdRTVQuGyv0XcESSu4CjgeOA/zXLtiVJkqSxMFYTsHl4xGDjEdc3Giq3ouuZcHp73H2a5SVJkqSxN25h4qr2ONlcBoDt2uOouRB91zPh1va43FWkJEmSpNXJuIWJi9rjPkke0fckGwK7AfcAl01Rz2Vtud3a+wbrWYtmEvdge1N5QXucbJM7SZIkabU0VmGiqq4FFgLbAG8ZuryAZmTg7Kq6e+JkkvlJHrHkalXdRbMi0/o08xwGvbWt/0uDO2AneWaSzYb7lGRrmr0pAD4+44eSJEmSxtQ4TsB+M7AIOCXJ3sAVwC40e0JcDbxrqPwV7TFD5/8U2AP4oyTPAf4T2AE4gOa1peGwcjBwTJKLgB/RrOb0dGB/4HHAvwEfmOWzSZIkSWNj7MJEVV2bZGfgeGBfYD/gJ8ApwIKqun2a9dyW5AU0O2AfCLwYuI1m+ddjq+qmoVsuotmf4rk0rzWtD9wBfI1mlONjVTXbVaQkSZKksTF2YQKgqm4EDptm2eERicFrtwNvaz9T1XMx4KZ0kiRJUmus5kxIkiRJWnUYJiRJkiR1YpiQJEmS1IlhQpIkSVInhglJkiRJnRgmJEmSJHVimJAkSZLUiWFCkiRJUieGCUmSJEmdGCYkSZIkdWKYkCRJktSJYUKSJElSJ4YJSZIkSZ0YJiRJkiR1YpiQJEmS1IlhQpIkSVInhglJkiRJnRgmJEmSJHVimJAkSZLUiWFCkiRJUifrzHUHtOrY5pjz57oLkiRJGiOOTEiSJEnqxDAhSZIkqRPDhCRJkqRODBOSJEmSOjFMSJIkSerEMCFJkiSpE8OEJEmSpE4ME5IkSZI6MUxIkiRJ6sQwIUmSJKkTw4QkSZKkTgwTkiRJkjoxTEiSJEnqZJ257oAkSZI0YZtjzp/rLqxUS07Yf667MCuOTEiSJEnqxDAhSZIkqRPDhCRJkqRODBOSJEmSOvn/7d17sK11Xcfx9wcxOR65CETUUOIFOAgKgnIJRAUFglJgounCacSAGDVsiCFC5WJjgkIS2QXNAk7NGGKQoQQIZ8REoumYJhwuA5zifgcPcICEb3/8ni273dlc1tlrP6y13q+ZPT/281vr93znYZ29nu/zu5lMSJIkSRqIqzlJkiS9RE3aykYaPSPZM5FksyR/neTOJE8mWZHkjCSvfpHtbNi9b0XXzp1du5sN+9ySJEnSqBu5nokkrweuAjYB/hG4HtgJ+Aiwb5LdquqBF9DORl07WwJXAF8CFgGHAvsn2bWqbhnGuSVJkqRxMIo9E39Ou5k/qqoOqKrjqmpP4LPAVsAnX2A7f0RLJD5bVXt17RxASww26c4zrHNLkiRJI2+kkokkrwP2BlYAfzaj+kTgMWBxkoXP085CYHH3+hNnVH+ua3+f7nxzem5JkiRpXIxUMgHs2ZWXVtUz0yuqaiXwbeCVwC7P086uwALg2937prfzDHBp9+u7hnBuSZIkaSyM2pyJrbryxlnqb6L1HmwJXL6G7dC1M9fnJsm/z1K13fLly9lxxx2f6+1Dc9cdj/RyXkmSpEm142Un9HLe5cuXA2y+pu2MWjKxflfOdtc7dXyDIbQzV+d+Lk+vWrXqkWXLlq1YgzY0u0VdeX2vUUwmr31/vPb98dr3x2vfH6/9i7Tsnjlr6sVe+82BH67pSUctmXg+6crqoZ0X/J6q6qfrYcJN9Qh5/eef174/Xvv+eO3747Xvj9e+P31d+1GbMzH19H/9WerXm/G6uWxnrs4tSZIkjYVRSyZu6MotZ6nfoitnm9ewJu3M1bklSZKksTBqycTSrtw7yf+JPcm6wG7AKuDq52nn6u51u3Xvm97OWrSJ1NPPN5fnliRJksbCSCUTVXUzbdnWzYEPzag+GVgInFtVj00dTLIoyaLpL6yqR4El3etPmtHOh7v2L5m+A/Yg55YkSZLG2ShOwP4gcBVwZpK9gOXAzrQ9IW4EPjrj9cu7MjOOHw+8Ezg6yfbANcDWwPuAe/n/CcMg55YkSZLGVqrWdOGj+ZfkZ4FPAPsCGwF3ARcCJ1fVgzNeWwBVNTOZIMmGtN2rDwB+GngAuBg4oapuX9NzS5IkSeNsJJMJSZIkSf0bqTkTkiRJkl46TCYkSZIkDcRkQpIkSdJATCYkSZIkDcRkQpIkSdJATCYkSZIkDcRkQmMtyalJLk9yW5JVSR5M8t0kJybZqO/4Jk2SxUmq+zms73jGVZIV067zzJ+7+45vEiR5e5KvJLkryZNdeWmS/fqObRwlef9zfOanfp7uO85xlmT/7jN+e/d9e0uSLyfZte/YxlmaDyS5OsnKJI939zlHJXnZvMTgPhMaZ0meApYB19F2Nl8I7AK8FbgT2KWqbusvwsnRbfj4n8DLgFcBh1fVX/Ub1XhKsgLYADhjNdWPVtVp8xvRZEnyMeAPgfuBi2ibm24MvAVYWlXH9hjeWEqyPW0D2tV5O7An8LWq+sX5i2pyJDkVOJa2+e+FtM/+G4D3AmsDv1lVf9tfhOMrybnAYto9zj8BjwHvBt4IfAU4uIZ8s28yobGWZJ2qemI1xz8JHA/8RVV9cP4jmyxJAlwGvBb4B+AYTCaGpksmqKrN+41k8iQ5GDgP+AZwUFWtnFH/8qr6n16Cm1BJvkN7iPS+qvpq3/GMmySbAncA9wFvrqp7p9W9C7gCuLWqXtdTiGMryQHABcCtwE5VdX93/OW0v0MHAIdW1dnDjMNhThprq0skOud15RbzFcuEO4r2ZPBQ2lMTaewkWQs4FXgc+PWZiQSAicT8SrItLZG4A/haz+GMq9fQ7if/dXoiAVBVS4GVwE/2EdgEOKgrT59KJODHf2c+3v36O8MOYu1hn0B6ifqlrvx+r1FMgCRbA6cAf1JVVybZs++YJsQrkhwC/Bwtgfs+cGVVOW58eH6e1vt2PvBQkv2BbYEngGuq6jt9Bjehfrsrv+hnf2huAp4Cdkqy8fSb2iR7AOvShj5p7m3albespm7q2A5JNqiqh4cVhMmEJkKSY2jj9NenzZfYnXZzdUqfcY27JGsDS4D/pg0r0/zZlHbtp7s1yaFV9c0+ApoAb+vKe2hztd40vTLJlcAvV9V98x3YJEqyADgEeAZwSOWQVNWDSX4f+GPguiQX0uZOvJ42Z+Iynk3qNLemErfXrqZu+rCyRcDVwwrCYU6aFMcAJwK/S0sk/hnY2y/1oTuBNun0/VW1qu9gJsjfAHvREoqFtJvas4DNgYuTbNdfaGNtk648ElhAmwS5Lq134hJgD+DL/YQ2kX6FthDBxS60MVxVdQZtyM3awOHAccDBwG3A2TOHP2nOXNSVRyfZcOpg9yDv5Gmve/UwgzCZ0ESoqk2rKrSbq4NoGft3k+zQb2TjK8lOtN6I0x3eMb+q6uSquqKq7qmqx6vqB1V1JO3J4QLgpH4jHFtTyzCG1gNxeVU9WlXXAgcCtwPvcKnMeXNEV57VaxQTIMmxtOF9Z9N6JBYCO9KG2vxdkk/3F91Y+xJwMe2aX5fk80nOAP4D2I82BA1gqEP8TCY0UbqbqwuAvYGNgHN7DmksTRvedCPPTgJT//6yK/foNYrx9VBX3lJV35te0fXMXdL9utO8RjWBkryRNoflduDrPYcz1pK8k7bwwFer6uiquqV7iLGMlkTfAfxeEldzmmNV9QxtKNkxwN20JWI/QPvc704bbgZt2dihMZnQRKqq/6LtPbFNko37jmcMvQrYEtgaeGL6xlG04WYAX+iOrW4vBA3H1BfKwl6jGF83dOVsEx2nko0F8xDLpHPi9fyZ2rtj6cyKqnocuIZ2v/mW+QxqUlTVj6rq9KravqoWVNV6VbUv7R5ne2AVcO0wY3ACtibZz3SlXzRz70ngi7PU7UD7UvkX2s2XQ6Dmz9TwmtWt/KE1dyXwI2CLJD9RVU/NqN+2K1fMa1QTJsk6tCe0zzD73yHNnVd05WzLv04dn/nvQcO1GFgHOGfYS1KbTGhsJVkEPFxVd884vhZtd9pNgKuq6qHVvV+D64Z0HLa6uiQn0ZKJc9y0bu4l2Qa4q6oenHH8NcDnul/diXYIqur+JH8P/AZt8YGPTdUleQ+wD/AIbQEIDc/BtAmnFznxel58C/gwcESSs6rqjqmKJL8A7EZbHvmqnuIba0nWq6ofzjj2NtpqlY8Cnxh2DCYTGmf7Ap/plmO8mTZ28KeAd9AmYN9NW3VCGicHA8clWUrbFXUlbXLe/rSnVF8HTusvvLF3NLAz8NFujf1raJt6HUjrBT18mOu9C3h24vXne41icpxP2/H93cDyJBfQvl+3pg2BCnBcVT0wexNaA5clWQX8gPb3fhva5OsngYOqaug90SYTGmffoH2Z7AZsR1si8DHapOAlwJkzn95KY2ApsBWt92dX2vyIh2nDypYAS6qq+gtvvFXVvUl2pvVKHEjbfXklbfflT1XV0NZ61483ydwdJ17Pm6p6Jsl+wIeAX6V97l8JPEj7f3BmVV3aY4jj7nzadT+ENh/rTtq+KqdU1Yr5CCB+p0iSJEkahKs5SZIkSRqIyYQkSZKkgZhMSJIkSRqIyYQkSZKkgZhMSJIkSRqIyYQkSZKkgZhMSJIkSRqIyYQkSZKkgZhMSJIkSRqIyYQkSZKkgZhMSJIkSRqIyYQkSZKkgZhMSJIkSRqIyYQkSZKkgZhMSJIkSRqIyYQkaeQkuTRJJTloxvEkOburO6Wv+CRpUqSq+o5BkqQXJcl2wDLgBuBNVfV0d/x04GjgC1V1RI8hStJEsGdCkjRyqup7wBJga2AxQJLjaYnEecCR/UUnSZPDnglJ0khKshlwE3APcBrwp8AlwHur6qk+Y5OkSWEyIUkaWUk+BRzX/XoV8J6qerzHkCRpojjMSZI0yu6b9uD9UQ4AAAEcSURBVN+/ZSIhSfPLZEKSNJKS/BpteNPd3aGP9BiOJE0kkwlJ0shJsh9wDnAt8GbgeuCwJIt6DUySJozJhCRppCTZHTgfuB3Yu6ruAz4OrA24t4QkzSMnYEuSRka3v8Q3gVXA7lV187S6fwPeCuxRVd/qKURJmij2TEiSRkKSN9CWfi1gn+mJROcPuvIz8xqYJE0weyYkSZIkDcSeCUmSJEkDMZmQJEmSNBCTCUmSJEkDMZmQJEmSNBCTCUmSJEkDMZmQJEmSNBCTCUmSJEkDMZmQJEmSNBCTCUmSJEkDMZmQJEmSNBCTCUmSJEkDMZmQJEmSNBCTCUmSJEkDMZmQJEmSNBCTCUmSJEkDMZmQJEmSNBCTCUmSJEkD+V/3zsTBjvzobgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b15a438>"
]
},
"metadata": {
"image/png": {
"height": 278,
"width": 393
}
},
"output_type": "display_data"
},
{
"data": {
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AkiRJksFAkiRJEgYDSZIkSRgMJEmSJGEwkCRJkoTBQJIkSRIGA0mSJEkYDCRJkiRhMJAkSZKEwUCSJEkSBgNJkiRJGAwkSZIkYTCQJEmShMFAkiRJEgYDSZIkSRgMJEmSJGEwkCRJkoTBQJIkSRIGA0mSJEnAWsPugCRpctsed8Gwu6A5sDr+77zk1EOG3QVJ4zhiIEmSJMlgIEmSJMlgIEmSJAmDgSRJkiQMBpIkSZIwGEiSJEnCYCBJkiQJg4EkSZIkDAaSJEmSMBhIkiRJwmAgSZIkCYOBJEmSJAwGkiRJkjAYSJIkScJgIEmSJAmDgSRJkiQMBpIkSZIwGEiSJEnCYCBJkiQJg4EkSZIkDAaSJEmSMBhIkiRJwmAgSZIkCYOBJEmSJAwGkiRJkjAYSJIkScJgIEmSJAmDgSRJkiQMBpIkSZIwGEiSJEkC1hp2ByRpurY97oJhd0GSpFWWIwaSJEmSDAaSJEmSDAaSJEmSMBhIkiRJwmAgSZIkCYOBJEmSJAwGkiRJkjAYSJIkScJgIEmSJAmDgSRJkiQMBpIkSZIwGEiSJEnCYCBJkiQJg4EkSZIkDAaSJEmSGNFgkGSrJGcnuTHJfUmWJDk9ySazqHOfJA8mqSRvb9lfSZIkab5ba9gdWFFJtgcuAzYFPgtcCewOvB44KMneVXXbCta5AXAe8HNg/bY9liRJkua/URwxOIsuFBxTVYdV1XFVtT9wGrATcMoM6vwbYCPgne26KUmSJI2OkQoGSbYDDgSWAGeOe3wCcA9wRJL1VqDOQ4GjgGOAG9v0VJIkSRotIxUMgP3768KqemjwQVXdBVwKPAbYczqVJdkU+Ajwmar6WMuOSpIkSaNk1NYY7NRffzDJ86vpRhR2BC6aRn0fpgtHr5lph5IsmuTRgpnWKUmSJM21UQsGG/XXpZM8H7u/8VQVJXkFcCjwoqq6pUHfJEmSpJE1asFgKumvtdxCybbA6cCnquqTs2mwqnadpI1FwC6zqVuSJEmaK6O2xmBsRGCjSZ5vOK7cZM4GlgFHt+iUJEmSNOpGLRhc1V93nOT5Dv11sjUIY3ah2/L0J/2BZpWkgHP658f39z4zu+5KkiRJo2HUphJd3F8PTLLG4M5E/SFle9ONBFw+RT3n0+1eNN4OwD7At4FFwLdm3WNJkiRpBIxUMKiqa5IspNt56LXA+wcenwSsB3yoqu4Zu5lkQf/eKwfqOWai+pMcSRcMLqiqNzf/BiRJkqR5aqSCQe9o4DLgjCQHAIuBPYD96KYQHT+u/OL+GiRJkiRNaNTWGFBV1wC7AefSBYI3ANsDZwB7VdVtw+udJEmSNJpGccSAqroOOGqaZac9UlBV59IFDkmSJGm1MnIjBpIkSZLaMxhIkiRJMhhIkiRJMhhIkiRJwmAgSZIkCYOBJEmSJAwGkiRJkjAYSJIkScJgIEmSJAmDgSRJkiQMBpIkSZIwGEiSJEnCYCBJkiQJg4EkSZIkDAaSJEmSMBhIkiRJwmAgSZIkCYOBJEmSJAwGkiRJkjAYSJIkSaJRMEiybZKDk6w3cG+tJCcl+U6Sy5L8bou2JEmSJLW3VqN6TgBeAGw2cO/NwFsGXn8yybOr6vJGbUqSJElqpNVUor2Ai6rqAYAkawBHA1cCTwJ2B+4Bjm3UniRJkqSGWgWDzYAfD7x+OvB44Myqur6qvgl8FvjNRu1JkiRJaqhVMFgbqIHXe/ev/2Pg3vXAExu1J0mSJKmhVsHgeuDXB14fDPy0qhYP3NsU+Fmj9iRJkiQ11Grx8eeBY5O8B7gX+C3gnHFlFvDI6UaSJEmS5olWweCvgcOAP+tf30C3UxEASbYBngmc1qg9SZIkSQ01CQZVdWuSpwEH9Le+XFV3DRRZny40XNiiPUmSJElttRoxoKqW0U0pmujZ94DvtWpLkiRJUlutFh9LkiRJGmHNRgySPBZ4Bd1hZpsAa05QrKrqgAnuS5IkSRqiJsEgyQLgEuAJQJZTtJbzTJIkSdKQtJpK9B66cwreBWwHrF1Va0zwNdEogiRJkqQhazWV6NnABVX1pkb1SZIkSZpDrUYMAny/UV2SJEmS5lirYLAI2KlRXZIkSZLmWKtgcDJwcJJ9G9UnSZIkaQ61WmOwNfBZYGGSj9ONINw5UcGqOr9Rm5IkSZIaaRUMzqXbijTAEf3X+K1J098zGEiSJEnzTKtgcFSjeiRJkiQNQZNgUFXntahHkiRJ0nC0WnwsSZIkaYQZDCRJkiQ1W2NAkvWAo4HnAVsCj5qgWFXV9q3alCRJktRGk2CQZGPga8CTgZ8BGwJLgXWAdftiNwL3t2hPkiRJUlutphK9mS4U/BGwSX/vNGB94JnAFcA1wM6N2pMkSZLUUKtg8ALgK1V1TlX98vyC6lwOHAwsAI5v1J4kSZKkhloFg63pRgXGPMTAGoOquhX4AvDiRu1JkiRJaqhVMPg58ODA66XA5uPK3EK3KFmSJEnSPNMqGFxHN2ow5vvAPknWHLj3LODmRu1JkiRJaqhVMPgy8Jwk6V//I7A9cEGS1yb5FLAn8G+N2pMkSZLUUKtzDM6j25p0K7rRgw8C+wOHAQf2ZS6l271IkiRJ0jzTJBhU1RXA/xl4/QBweJJdgf8FLAG+UVUPtWhPkiRJUlvNTj6eSFUtAhatzDYkSZIkzV7zYJBkPWBHYP2q+mrr+iVJkiS112rxMUm2SvLPwB3AN4GLB549K8n3k+zbqj1JkiRJ7TQJBkmeCPwncCjweeDrQAaK/CewKfCiFu1JkiRJaqvViMEJdB/8n1tVhwNfGnxYVfcDXwX2btSeJEmSpIZaBYODgc9V1SXLKXMtsEWj9iRJkiQ11CoYbAZcPUWZ+4H1GrUnSZIkqaFWweB2YOspyuwI3NyoPUmSJEkNtQoGlwIvSLL5RA+T7AAcxMBORZIkSZLmj1bB4N3Ao4EvJ/lt4DHQnWnQv/5X4CHgvY3akyRJktRQkwPOquo/k7wa+CDddqVjftZfHwBeUVXfa9GeJEmSpLaanXxcVeck+RpwNLAn8DhgKXA58IGquqpVW5IkSZLaahYMAKrqauDYlnVKkiRJWvlarTGQJEmSNMKajhgkWQPYEtgKWHuiMlX1lQbtbAWcTLfT0eOAm4DPACdV1R3TrOPPgf2AJwOPp1sc/WO6U5vfV1XXz7afkiRJ0qhoFgz6D9pvpPuQvTxrzrKd7YHLgE2BzwJXArsDrwcOSrJ3Vd02jar+GLgb+DJwC12QeQbdVKg/SrJvVX1rNn2VJEmSRkWTYJDkROCtwG3AecANdDsRrQxn0YWCY6rq/QN9eB/dh/pTgNdMo56nVtW9428meRXw4b6eg5v0WJIkSZrnWo0Y/BHwQ2DXqlraqM5fkWQ74EBgCXDmuMcnAK8Gjkjyhqq6Z3l1TRQKep+kCwY7zK63kiRJ0uhotfj4ccDnVmYo6O3fXxdW1UODD6rqLroTmB9Dt13qTD2/v353FnVIkiRJI6XViMH/AJs0qmt5duqvP5jk+dV0Iwo7AhdNp8Ikr6RbLL0+8DTguXSLkI+b5vsXTfJowXTeL0mSJM0HrYLBWcDbkmxeVTc3qnMiG/XXyUYmxu5vvAJ1vhLYY+D1N4CXVNX/rGDfJEmSpJHVJBhU1QeT7AhcmuRk4Aom+fBeVde2aHMSGWtmum+oqj0BkjwO2IVu0fGiJC+qqi9O4/27TtiRbiRhl+n2Q5IkSRqmlucYfAc4Ejh7OWVqlm2OhY2NJnm+4bhy09ZvcfqlJN+g2wL1/CTbVNWyFe+mJEmSNFpabVf6SuBDdFuUXgLcyMrZrvSq/rrjJM/HdhKabA3ClKrqziRfBw4DngJ8c6Z1SZIkSaOi1YjBG4BbgWdW1Y8a1TmRi/vrgUnWGNyZKMkGwN7AMuDyWbazZX9dWWcxSJIkSfNKq+1KtwX+aSWHAqrqGmBh395rxz0+CVgPOH/wDIMkC5I8YoegJNv0ZyL8iiR/DPwmcB3w3+16L0mSJM1frUYMbgDWblTXVI4GLgPOSHIAsJhuV6H96KYQHT+u/OL+moF7zwD+Jcll/XtuoTuLYU+6LUvvBo6oqgdX1jchSZIkzSetRgzOBw7up/OsVP2owW7AuXSB4A3A9sAZwF79IuKpXAGcBqwDHAK8EfgDusXR7wWeXFVfbt55SZIkaZ5qNWLwDuDXgX9P8pfAov4k4pWiqq4Djppm2Uxw71q6QCFJkiSJdsHgvv4a+hOHk1/5PA5QVdVyi1RJkiRJDbT6kP5VVuBQMUmSJEnzS6uTj/dtUY8kSZKk4Wi1+FiSJEnSCDMYSJIkSTIYSJIkSTIYSJIkScJgIEmSJAmDgSRJkiRmGAySvCDJjq07I0mSJGk4Zjpi8GngxWMvkvwwyTFtuiRJkiRprs00GNwPrD3weltg41n3RpIkSdJQzDQYXAs8K8maA/eqQX8kSZIkDcFaM3zfx4G3ALcnua2/d2ySo6Z4X1XV9jNsU5IkSdJKMtNg8DZgGXAIsAXdaEH6r+WZ6rkkSZKkIZhRMKiqB4BT+y+SPAScVlUnN+ybJEmSpDnS6hyD84BvN6pLkiRJ0hyb6VSiR6iqqdYWSJIkSZrHmgSDMUmeBLwMeAbd9qVLgUXAx6rqxy3bkiRJktROs2CQ5FXAGcA6PHKR8WHAW5K8vqo+1Ko9SZIkSe00WWOQ5ADgg8B9wCnA/sDO/fXtwL3AmX05SZIkSfNMqxGDPwfuAnatqmsG7l8FXJLkPLopRX8OXNSoTUmSJEmNtNqVaHfgk+NCwS/19z/Vl5MkSZI0z7QKBusCP52izE/6cpIkSZLmmVbB4Md06wmWZz/g2kbtSZIkSWqoVTD4NPCbSc5KsvHggyQbJfkbumlE/9KoPUmSJEkNtVp8/E7gBcBrgJcm+Q5wE7A58HRgA+DKvpwkSZKkeabJiEFV/Qx4JvARYE3gWcALgWf3rz8C7N2XkyRJkjTPNDvgrKqWAn+c5LXAAmAjupOPr6qq+1u1I0mSJKm9ZsFgTFU9APy/1vVKkiRJWnlaLT6WJEmSNMIMBpIkSZIMBpIkSZIMBpIkSZIwGEiSJEnCYCBJkiQJg4EkSZIkGp9jkGQ3YHdgE7oTj8erqnpbyzYlSZIkzV6TYJBkQ+BfgP2ALKdoAQYDSZIkaZ5pNWLwbmB/4KvAOcB1wAON6pYkSZK0krUKBocCVwD7VdVDjeqUJEmSNEdaLT7eCLjYUCBJkiSNplbB4Gpgs0Z1SZIkSZpjrYLBmcDzk2zZqD5JkiRJc6jVGoMv0C0+vjTJScAi4M6JClbVtY3alCRJktRIq2CwhG4r0gB/u5xy1bBNSZIkSY20+pB+Pt2HfkmSJEkjqEkwqKojW9QjSZIkaThaLT6WJEmSNMKaz/dPshXwDGBjYClwRVVd37odSZIkSe00CwZJngR8GPitCZ59CXhNVS1p1Z4kSZKkdpoEgySbA5cCW9LtUPQV4CbgicCzgAOBryXZrapubtGmJEmSpHZajRi8hS4U/CXwvqp6cOxBkjWBY4G/Bt4MvK5Rm5IkSZIaabX4+BBgYVW9ezAUAFTVg1X1HmAh8DuN2pMkSZLUUKtgsDndacfLs6gvJ0mSJGmeaRUMlgLbTFHmSX05SZIkSfNMq2DwNeD3kzxzoodJ9gBe2JeTJEmSNM+0Wnx8Ct06gy8n+QRwMd2uRJsD+wJ/ADwEvKNRe5IkSZIaahIMquqKJL8PnAu8FHjJwOMAtwOvqKqp1iFIkiRJGoJmB5xV1eeTbAMcCuwCbES3puBbwGeq6p5WbUmSJElqq1kwAOg//P9D/yVJkiRpRLRafCxJkiRphM1oxCDJy/o/frqq7hp4PaWqOn8mbUqSJElaeWY6lehcoIDLgbsGXi9P+jIGA0mSJGmemWkweAXdh/yb+tdHtemOJEmSpGGYUTCoqnPHvT6vSW8kSZIkDUWTxcdJ9knypCnKbJ1knxbtSZIkSWqr1a5EFwNHTlHmZX05SZIkSfNMq2CQaZaZaoHy9BpLtkpydpIbk9yXZEmS05NsMs33r5fkpUn+IcmVSe5JcleSbyZ5Q5J1WvRTkiRJGhVNDzibwpPodjCalSTbA5cBmwKfBa4EdgdeDxyUZO+qum2Kap4NfAzEw/ymAAAUQ0lEQVS4nW4U4zPAY4HnA+8BDk9yQFXdO9v+SpIkSaNgxsEgyVvH3do3mXDgYE26UPBi4GszbW/AWXSh4Jiqev9Af94HHAucArxmijpuBv4Q+FRV/WKgjg2AS4BnAq8F3tugv5IkSdK8N5sRgxMH/lzAvv3XZG4AjptFeyTZDjgQWAKcOe7xCcCrgSOSvKGq7pmsnqr6NvDtCe7fleS9wN/TfS8GA0mSJK0WZhMM9uuvAf6D7pCzibYtfRC4Dbiqqh6aRXsA+/fXhePr6j/UX0oXHPYELpphG/f31wdm+H5JkiRp5Mw4GFTVl8f+nOQ84DOD91aSnfrrDyZ5fjVdMNiRmQeDV/TXL06ncJJFkzxaMMP2JUmSpDnXZPFxVc3Vyccb9delkzwfu7/xTCpP8jrgILppRmfPpA5JkiRpFLU64Gz/fvvQLSZ5vkX/fN8W7S2vK/11hbdFTXI4cDrdwuTfq6r7p3hL11DVrhN90e2WJEmSJI2EVtuVHgMsqKobJ3pYVTcm2YvuN/6XzKKdsRGBjSZ5vuG4ctOS5DDgE8CtwH5V9cOZdU+SJEkaTa0OONuF7myB5fkasNss27mqv+44yfMd+utkaxB+RZIXAp8CbgGeU1VXTfEWSZIkaZXTKhhsCkw4WjDglr7cbFzcXw9M8oi+92cQ7A0sAy6fTmVJXgJ8nK7vz6mqq2fZP0mSJGkktQoGS4GtpyizNTDp2QLTUVXXAAuBbekOIBt0ErAecP7gGQZJFiT5lR2Ckrwc+ChwLbCP04ckSZK0Omu1xuC/gMOSbF5VN49/2C9KPgy4tEFbR9NNWzojyQHAYmAPunMVfgAcP6784rFuDPRnP7pdh9agG4U4aoJTm++sqtMb9FeSJEma91oFg/cDhwBfTfIG4MKqui/Jo+i2/3wvsD5wxmwbqqprkuwGnNzXfTBwU1/3SVV1+zSq2YaHR0teMUmZH9PtUiRJkiSt8lqdY7AwyduAtwCfBirJHcAmdL+pD3ByVU3r0LBptHcdMK2zE6rqV4YCqupcupOaJUmSJNFujQFVdQLdb/D/DbidbkvR24ELgOdV1Ymt2pIkSZLUVqupREA3ckC3OFiSJEnSCGk2YiBJkiRpdBkMJEmSJLULBkmemOTMJP+TZFmSByf4eqBVe5IkSZLaabLGIMmWdGcZbAZ8D3gU3Xaf9wHb9e18m+4gNEmSJEnzTKsRg7cCmwMHVdVv9PfOqaoFdMHgQmBd4PBG7UmSJElqqFUweB7wxar69/EPqup64IV0weCkRu1JkiRJaqhVMNicbgrRmAfpggAAVXU38CXg0EbtSZIkSWqoVTD4GbDOwOs7gC3HlVkKPKFRe5IkSZIaahUMfgxsPfD6O8D+SR4DkGQN4EDg+kbtSZIkSWqoVTC4CNgvydr96/OALYDLkrwbuBR4CvCPjdqTJEmS1FCT7UqBv6ObPvR44Kaq+liSXYE/AX69L/MJ4JRG7UmSpBG27XEXDLsLc27JqYcMuwvScjUJBlV1NfCucfeOTfIOuu1Kl1TVLS3akiRJktReqwPOXgbcUlUXDt6vqp8AP2nRhiRJkqSVp9Uag7OBgxrVJUmSJGmOtQoGNzesS5IkSdIca/Vh/ot0uxIZDiRJkqQR1OqD/PHABsDfJXl8ozolSZIkzZFW25V+nO5k45cBL06yhG56UY0rV1V1QKM2JUmSJDXSKhjsO/DnRwE79V/jjQ8KkiRJkuaBVucYuLZAkiRJGmEz+kCf5Jgku7fujCRJkqThmOlv+k9n4NyCJA8meUubLkmSJEmaazMNBvfSrSUYk/5LkiRJ0giaaTD4EfC8JJsN3HNhsSRJkjSiZrr4+EN004luTH45UHBikhOneF9VVaudkKTV3rbHXTDsLkiSpFXEjD6kV9UZSW4FDgG2APYDrgWWtOuaJEmSpLky49/eV9UngE8AJHkIOKeqTm7VMUmSJElzp9X5AycBlzSqS5IkSdIca3XA2Ukt6pEkSZI0HJ5YLEmSJMlgIEmSJMlgIEmSJAmDgSRJkiQMBpIkSZIwGEiSJEnCYCBJkiQJg4EkSZIkDAaSJEmSMBhIkiRJwmAgSZIkCYOBJEmSJAwGkiRJkjAYSJIkScJgIEmSJAmDgSRJkiQMBpIkSZIwGEiSJEnCYCBJkiQJg4EkSZIkDAaSJEmSMBhIkiRJwmAgSZIkCYOBJEmSJAwGkiRJkjAYSJIkScJgIEmSJAmDgSRJkiQMBpIkSZIwGEiSJEnCYCBJkiQJg4EkSZIkDAaSJEmSMBhIkiRJwmAgSZIkCYOBJEmSJAwGkiRJkjAYSJIkSWJEg0GSrZKcneTGJPclWZLk9CSbrEAdv5XkvUkuSnJ7kkrytZXZb0mSJGm+WmvYHVhRSbYHLgM2BT4LXAnsDrweOCjJ3lV12zSqei1wKHAv8D/AtEOFJEmStKoZxRGDs+hCwTFVdVhVHVdV+wOnATsBp0yznncBTwXWB56/UnoqSZIkjYiRCgZJtgMOBJYAZ457fAJwD3BEkvWmqquqvl5V36uqB5t3VJIkSRoxozaVaP/+urCqHhp8UFV3JbmULjjsCVw0Fx1KsmiSRwvmon1JkiSphZEaMaCbKgTwg0meX91fd5yDvkiSJEmrjFEbMdiovy6d5PnY/Y3noC8AVNWuE93vRxJ2mat+SJIkSbMxaiMGU0l/raH2QpIkSRoxoxYMxkYENprk+YbjykmSJEmahlELBlf118nWEOzQXydbgyBJkiRpAqMWDC7urwcmeUTfk2wA7A0sAy6f645JkiRJo2ykgkFVXQMsBLalO7l40EnAesD5VXXP2M0kC5K4dagkSZK0HKO2KxHA0cBlwBlJDgAWA3sA+9FNITp+XPnF/TWDN5M8C3hl/3L9/rpDknPHylTVkS07LkmSJM1XIxcMquqaJLsBJwMHAQcDNwFnACdV1e3TrOp/AS8fd2/TcfeOnF1vJUmSpNEwcsEAoKquA46aZtlMcv9c4Nx2vZIkSZJG10itMZAkSZK0chgMJEmSJBkMJEmSJBkMJEmSJGEwkCRJkoTBQJIkSRIGA0mSJEkYDCRJkiRhMJAkSZKEwUCSJEkSBgNJkiRJGAwkSZIkYTCQJEmShMFAkiRJEgYDSZIkSRgMJEmSJGEwkCRJkoTBQJIkSRIGA0mSJEkYDCRJkiRhMJAkSZKEwUCSJEkSBgNJkiRJGAwkSZIkYTCQJEmShMFAkiRJEgYDSZIkSRgMJEmSJGEwkCRJkgSsNewOSJIkrQ62Pe6CYXdhzi059ZBhd0ErwBEDSZIkSQYDSZIkSQYDSZIkSbjGQKuQ1XHupiRJUiuOGEiSJEkyGEiSJEkyGEiSJEnCYCBJkiQJg4EkSZIkDAaSJEmSMBhIkiRJwmAgSZIkCYOBJEmSJAwGkiRJkjAYSJIkScJgIEmSJAmDgSRJkiQMBpIkSZIwGEiSJEnCYCBJkiQJg4EkSZIkDAaSJEmSgLWG3QFJkiStmrY97oJhd2HOLTn1kGF3YcYcMZAkSZJkMJAkSZJkMJAkSZKEwUCSJEkSBgNJkiRJGAwkSZIkYTCQJEmShOcYrLJWx32DJUmSNHOOGEiSJEkyGEiSJEkyGEiSJEnCYCBJkiQJg4EkSZIkDAaSJEmSMBhIkiRJYkSDQZKtkpyd5MYk9yVZkuT0JJusYD2P7d+3pK/nxr7erVZW3yVJkqT5aOQOOEuyPXAZsCnwWeBKYHfg9cBBSfauqtumUc/j+np2BP4D+ASwADgKOCTJXlX1w5XzXUiSJEnzyyiOGJxFFwqOqarDquq4qtofOA3YCThlmvW8gy4UnFZVB/T1HEYXMDbt25EkSZJWCyMVDJJsBxwILAHOHPf4BOAe4Igk601Rz3rAEX35E8Y9/kBf//P69iRJkqRV3kgFA2D//rqwqh4afFBVdwGXAo8B9pyinr2AdYFL+/cN1vMQsLB/ud+seyxJkiSNgFFbY7BTf/3BJM+vphtR2BG4aJb10NezXEkWTfLoNxYvXsyuu+46VRUrxU03LB1Ku5IkSauzXb/01jlvc/HixQDbzraeUQsGG/XXyT71jt3feI7qWZ4Hly1btvSKK65YMos6RsWC/nrlUHuhUePPjVaUPzOaCX9utKJm9TNzxS0NezJ92wI/m20loxYMppL+WnNVT1UNZ0hgHhkbNfG/hVaEPzdaUf7MaCb8udGKWp1/ZkZtjcHYb/I3muT5huPKrex6JEmSpFXCqAWDq/rrZHP/d+ivk60daF2PJEmStEoYtWBwcX89MMkj+p5kA2BvYBlw+RT1XN6X27t/32A9a9AtYB5sT5IkSVqljVQwqKpr6LYS3RZ47bjHJwHrAedX1T1jN5MsSLJgsGBV3Q18tC9/4rh6XtfXf6EnH0uSJGl1MYqLj48GLgPOSHIAsBjYg+7MgR8Ax48rv7i/Ztz9NwH7An+W5OnAfwE7A4cCt/KrwUOSJElaZaVqthv4zL0kWwMnAwcBjwNuAj4DnFRVt48rWwBVNT4YkOSxdCcfHwY8EbgN+ALw1qq6fmV+D5IkSdJ8MpLBQJIkSVJbI7XGQJIkSdLKYTCQJEmSZDCQJEmSZDCQJEmShMFAkiRJEgYDSZIkSRgMNENJ3pXkoiTXJVmW5PYk30pyQpLHDbt/Gg1JjkhS/dcrh90fzT9Jlgz8jIz/unnY/dP8luTZSf45yU1J7uuvC5McPOy+aX5JcuRy/q4Z+3pw2P1c2Ubx5GPND8cCVwBfojspej1gT+BE4NVJ9qyq64bXPc13/UGF7wfuBtYfcnc0vy0FTp/g/t1z3RGNjiRvBt4G/BT4PN1hqI8HngHsC/zb0Dqn+ejbwEmTPHs2sD/dIbirNIOBZmrDqrp3/M0kpwBvAv4KOHrOe6WRkCTAOXSnjf8L8Mbh9kjz3J1VdeKwO6HRkeSFdKHg34HDq+qucc/XHkrHNG9V1bfpwsGvSPL1/o8fnrseDYdTiTQjE4WC3if76w5z1ReNpGPofvtyFHDPkPsiaRWSZA3gXcDPgZeMDwUAVXX/nHdMIynJU+lmRNwAXDDk7qx0jhiotef31+8OtReat5LsDJwK/E1VfSXJ/sPuk+a9RyX5Q+BJdEHyu8BXqmqVn++rGXkm8GvAPwF3JDkEeCpwL/BfVfX15b1ZGueP++vfrQ5/5xgMNCtJ3kg3P3wjYDfgWXT/aJ86zH5pfkqyFvBR4Fq6KWfSdGxO93Mz6EdJjqqqLw+jQ5rXfrO/3kK3Fu5pgw+TfAX4/ar6yVx3TKMlybrAHwIPAX875O7MCacSabbeCJwA/CldKPgicKB/4WoSb6Vb+HdkVS0bdmc0Es4BDqALB+vRfcj7ELAt8IUkvzG8rmme2rS/vgZYF3gusAHdqMGFwD7Ap4bTNY2Y/w1sDHxhddlQxWCgWamqzasqdP9oHw5sB3wryS7D7ZnmmyS7040SvNehfE1XVZ1UVf9RVbdU1c+r6v9V1WuA99F96DtxuD3UPLRmfw3dyMBFVXV3VX0P+F3geuA5SfYaWg81Kl7dXz801F7MIYOBmuj/0f40cCDwOOD8IXdJ88jAFKIfAG8Zcne0avhgf91nqL3QfHRHf/1hVX1n8EE/Unlh/3L3Oe2VRkqSJ9OtV7me1WhrW4OBmqqqHwPfB56S5PHD7o/mjfWBHYGdgXsHD4yhm4oG8JH+3kT71Uvj3dpf1xtqLzQfXdVf75zk+VhwWHcO+qLRtVotOh7j4mOtDFv019Xm/0ia0n3A303ybBe6dQdfo/sH3WlGmo6xaSA/HGovNB99BXgA2CHJOlX1i3HPn9pfl8xprzQykjwaOIJu0fFk/3atkgwGWmFJFtAdOHTzuPtr0B0osylwWVXdMdH7tfrph+9fOdGzJCfSBYPzqmq12PVB05PkKcBNVXX7uPvbAB/oX35szjumea2qfprkH4GX0m148OaxZ0l+C3ge3WnaXxxODzUCXghsAnx+dVl0PMZgoJk4CHh3v+XbNXSn124GPIdu8fHNwKuG1z1Jq4gXAscluRj4EXAXsD1wCPBounm/7xle9zSP/RmwB3B8kn2A/wK2oVt8/CDwqqqabKqRNLboeJU/6Xg8g4Fm4t/p/s+yN/AbdFt53UO3sPSjwBnjf8MnSTNwMbAT3YjSXnTrCe6km3b2UeCjVVXD657mq6q6NckedKMFv0t3cu1ddCfXvrOqLh9m/zR/9YdwPovVbNHxmPh3qiRJkiR3JZIkSZJkMJAkSZJkMJAkSZKEwUCSJEkSBgNJkiRJGAwkSZIkYTCQJEmShMFAkiRJEgYDSZIkSRgMJEmSJGEwkCRJkoTBQJIkSRIGA0mSJEkYDCRJkiRhMJAkSZKEwUCSNGRJFiapJIePu58k5/bPTh1W/yRpdZGqGnYfJEmrsSS/AVwBXAU8raoe7O+/F/gz4CNV9eohdlGSVguOGEiShqqqvgN8FNgZOAL4/+3draoVURiA4fcDL8NoMJmMB5sKBrtZg82qgtmgzSuwijdgFMFiFgSxGZTTFSzLsHc4V7DnwDxPmb/y1Ze1ZqaZed4hCt5Vj7ebDmA/rBgAsLmZuVp9r35Xr6s31Yfq/lrr35azAeyFMADgUpiZl9XT4+Xn6vZa68+GIwHsiq1EAFwW5xfOH4oCgNMSBgBsbmYedNhC9Ot468mG4wDskjAAYFMzc696W32tblTfqkczc33TwQB2RhgAsJmZOaveVz+rO2ut8+pFdaXy7wKAE/LyMQCbOP6/4GP1tzpba/248OxLdbO6tdb6tNGIALtixQCAk5uZax0+R7qquxej4OjZ8fjqpIMB7JgVAwAAwIoBAAAgDAAAgIQBAACQMAAAABIGAABAwgAAAEgYAAAACQMAACBhAAAAJAwAAICEAQAAkDAAAAASBgAAQMIAAABIGAAAAAkDAAAgYQAAAFT/AWZ6WtcXtQRUAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a20dbdf60>"
]
},
"metadata": {
"image/png": {
"height": 278,
"width": 387
}
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a211cc908>"
]
},
"metadata": {
"image/png": {
"height": 278,
"width": 387
}
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b5d2048>"
]
},
"metadata": {
"image/png": {
"height": 278,
"width": 388
}
},
"output_type": "display_data"
}
],
"source": [
"for n in [5, 10, 30, 50]:\n",
" # 1000 выборок обьема N\n",
" samples = np.array([rv.rvs(size=n) for i in range(1000)])\n",
" # вычисляем выборочные средние из полученных 1000 выборок\n",
" means = samples.mean(axis=1)\n",
" \n",
" plt.hist(means, normed=True)\n",
" plt.title('Means of $X_{%s}$' % n)\n",
" plt.xlabel('$x$')\n",
" plt.ylabel('fraction of means')\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ниже приведены среднее и дисперсиия распределения Пуасона\n",
"\n",
"$$M[X]=D[X]=\\lambda=5$$\n",
"\n",
"Согласно ЦПТ в случае нашего распределения имеем $\\overline{X_{n}} \\approx N(\\lambda, \\lambda/n)$. Теперь посчитаем значения параметров нормальных распределений, которыми, приближается распределение выборочных средних. \n",
"\n",
"$$\n",
"\\overline{X_{5}} \\approx N(5, 1) \\qquad \\overline{X_{10}} \\approx N(5, 0.5) \\qquad \\overline{X_{50}} \\approx N(5, 0.17)\n",
" \\qquad \\overline{X_{30}} \\approx N(5, 0.1) $$ \n",
"\n",
"Обратите внимание: для подсчёта значений этих параметров мы использовали именно теоретические среднее и дисперсию нашей случайной величины, а не их выборочные оценки.\n",
"\n",
"Теперь поверх каждой гистограммы нарисуем плотность соответствующего нормального распределения."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a215e5668>"
]
},
"metadata": {
"image/png": {
"height": 278,
"width": 388
}
},
"output_type": "display_data"
},
{
"data": {
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Iby0uF6SUmst3pJS2RsR9ZAnEacCdnV2kWMPwZuAR4KmIOAs4BUjAY8Dd7a8vSZI0VIwfP56PfvSj+70+bty4HKJp6/LLL+fEE0/kjW9846Dfe/ny5bzpTW9i48aNvOtd72LOnDn853/+J1//+te54447uO+++5g0qce92av699yRWk0Qjikun+lk/7NkCcLRdJEgAK8vO/4u4Mx2+5+IiAtSSs91F1BELOxk15zuzpUkScrDgQceyFVXXZV3GPv5+Mc/zr333su9995LQ0PDoN//kksuYePGjVx//fX85V/+ZZu4vva1r/GZz3yGb37zmz2+XrX+njtTk12MgPHF5eZO9pdeP7Cb60wtLv8YmAtcULz2UcCtwDzg5xExou+hSpKkenf99dcTEdx888377du8eTOFQoG3vvWtHZxZu7Zt28bnPvc5TjrpJBobGzvtZrNx48Y2533sYx/je9/7HnfddRdHHHHEoMf9/PPPs2DBAmbNmsWll17aZt/VV1/N2LFjufXWW2lqahr02AZLrbYgdCeKy9TNcQ1lyz9PKf2/4vaWiPgAWdLwOuDdwPe6ulBK6ZQOA8laFk7uSdCSJGloWrRoEQCnnLL/14VFixaRUupw30DbtWsXt912Gy+88AJjx45l/vz5nHHGGf1+ar9x40be8pa3sHTpUubPn8+HP/xhdu3axQ9/+EPWr1/P8OHDOfTQQ5k8eTJTp05tOe/yyy/n+9//Pvfccw9z5uTTCeOuu+4C4Nxzz6VQaPssvbGxkdNPP50FCxbw4IMPcvbZZ/fomgP1ex4otZoglFoIxney/4B2x3WmVGWyC/hF+Y6UUoqIn5IlCKfSTYIgSZLUmUWLFjFq1CiOO+64/fYtXJj1Uj755M6fJ1533XW89tprPb7fiSeeyPnnn9/tcevXr+fCCy9s89rhhx/Ot7/9bd7ylrf0+H7tvfe972Xp0qV86lOf4tprryUie3b7yU9+ktmzZ7Nv3z4efPBBJk+e3HLOpZdeyq233spPfvITJkyYwPr12dgx48aN67KvfqV/N8uWLQPg6KOP7nD/7NmzWbBgAc8880yPE4SB+j0PlFpNEJYVlx3/l4PZxWVnNQrtr7O1k2LkUgIxuhexSZKk7lzV2TO+KnRVd88bu7Zz506WLFnCySefzLBh+3/1KiUIXbUgXHfddaxatarH9/zABz7QbYJw8cUX8+Y3v5njjjuOxsZGnn/+eb7xjW/wrW99i7e97W088MADnHDCCT2+Z8mvfvUr7rzzTk4//XSuueaaluQAYObMmbz5zW/m17/+NY899hjnnHNOy76bbroJYL8v3VdeeWWX/fcr/bvZvDn77z1+fMf/j5Ze72lSMlC/54FUqwnC3cXluRFRKP9yHxGNwOnADuDBbq6zGHgZmBwR01JKG9rtL03dt7L/IUuSpHq0ePFi9u7d22kC8Mgjj9DY2Mjs2bM73A+wcuXKisd15ZVXttk+/vjj+eY3v8m4ceP4yle+wlVXXcWPf/zjXl/3tttuA7JagvZddKD1C3Zzc9tnsyl11zO8YwPxu+lKKc7yxKcrA/V7Hkg1WaScUloOLABmAZe22301MBb4TkqppXokIuZERJvObCmlvcA/FDe/HBGFsuPnARcBe8lmVZYkSeq1ruoPNm/ezPLlyznppJN6/IVzoH34w9k8s7/97W/7dP7vfvc7CoUC5513Xof716xZA8BRRx3VtwAHWCmBKbUktLdly5Y2x/VVf3/PA6lWWxAALgHuB66PiLOBJcAbgLPIuhZ9pt3xS4rL9n99XwTOBt4PzIuIe4ApZIXJo4ArejLMqSRJ6oV+dtupJV0lCPfddx8ppS7rD2DgahA6Uioa7ssoPc3NzaxatYqpU6cyduz+89Vu2LCBhx9+mMMPP7xiIxRV+ndzzDHZaPrPPNNxT/Vnn30W6LxGoaf683seaDWbIKSUlkfE64DPAecBbwfWAdcDV6eUNvXwOtuLCcangD8la5HYSZZ8fCWl9B8DEb8kSaoPpQThkEMO2W/f97//faDr+gMYmBqEzjzwwAMAffoCX2oFKc2C3L6L0Ze//GWam5v50Ic+1KfYOlLp381ZZ50FwIIFC/Z7D1u3buW+++5j9OjRnHbaaX0Pmv79ngdaTXYxKkkprU4pXZxSOiilNCKldFhK6fKOkoOUUqSUOmy7SyltTyldlVKak1IamVIan1I6x+RAkiT1x549e3jyyScBuPfee9vs+8EPftDSX3/evHldXmflypWklHr8c8stt3R5vaeeeopNm/Z/lrpq1So+8pGPAPC+971vv/0XXXQREdHp9SOCE044gaamJr73vbYDQP7oRz/iuuuuY86cOVx++eVdxtcblf7dHHnkkZx77rmsXLmSG2+8sc2+K6+8kqamJt7//ve3aSFZvnw5S5cuZc+ePW2O7+vvOW8124IgSZJU7Z588kl27drFtGnTeM973sMFF1zApEmTePzxx3n00UeZOnUqGzZs4HOf+xyf/OQn+/1Uuqd++MMfcu2113LWWWdx+OGH09jYyPLly/n5z3/Ozp07efvb384nPvGJ/c4rFRZ3NBpTyWc/+1kuuOACLr74Yu644w5mzpzJww8/zK9//Wtmz57NL37xC0aNGjVg760SbrrpJt70pjdx2WWXceeddzJ37lweeugh7r77bo4++mi+8IUvtDn+7LPPZtWqVaxYsYJZs2a1vN7X33PeTBAkSZIGSKl70Wc/+1mef/55brnlFnbs2MEb3vAG7r77bn7zm9/w2c9+llWrVnHooYcOWlxnnXUWy5Yt49FHH+WBBx6gqamJAw88kN/7vd/jwgsv5MILL+ywaPqJJ56gsbGRd7zjHZ1e+/zzz+fHP/4xX/rSl7j99ttJKbV8qb7sssu6nNOgWhx55JE88sgjfPazn+WOO+7gF7/4BQcddBCXXXYZV155JRMnTuzRdfr6e85b9HVIKfVMRCw8+eSTTy6NcSxJQ9msT/98UO+38trOv6QoX0uWZGODzJ07N+dI8nXppZdy00038dBDD3HqqafmHU6/vPbaa0yaNIkrrriCL3/5y3mHU1d6+vd0yimnsGjRokUppX5Ny13TNQiSJEnVbNGiRTQ0NHRbY1ALfve73zF8+HA+/vGP5x2KBphdjCRJkgbAvn37WLx4MXPmzGH06NF5h9Nv73znO9m5c2feYWgQ2IIgSZI0AJYuXcr27ds58cQT8w5F6hVbECRJkgbAcccdh7WeqkW2IEiSJElqYYIgSZIkqYUJgiRJkqQWJgiSJEmSWpggSJIkSWphgiBJkiRVqTxGwjJBkCRJFRcRADQ3N+cciVTbSglC6W9qMJggSJKkihs5ciQATU1NOUci1bbS31Dpb2owOFGaJCl349nGDcNvYF5hRYf7t6bRXLX3A9zVfPIgR6a+amxsZOfOnaxfvx6AsWPHEhGD+hRUqlUpJVJKNDU1tfwNNTY2Dtr9TRAkSbkq0MwNw2/gjIYnOj1mQmzjG8Nv4ILdV7M0HTqI0amvJk6cSFNTE9u3b2fNmjV5hyPVtDFjxjBx4sRBu59djCRJufrEsB90mRyUjIld/MPwrzKebYMQlfqrUCgwc+ZMpkyZwqhRo2w5kHopIhg1ahRTpkxh5syZFAqD97XdFgRJUm7eXniQS4b9rGX7G3vfxT/tfXubY2bGS3xvxOcZFzs5rLCRrw+/kQ/u+STNPuOqeoVCgcmTJzN58uS8Q5HUC/7rKknKxdGxmr8d/g8t23ftO5Gv7P0jXqOxzc8T6Qiu2PPhluPObHicjw37UR4hS1JdMEGQJA26A2jiH4Z/lbGxC4AVzdP46J5LSZ18LP2y+VRu3PtfW7b/cthP+IPCw4MSqyTVGxMESdKgCpq5bviNHF7YAEBTGsmH9nycLYzt8ryv7P1jfrNvfuv28L+Hl5YNaKySVI9MECRJg+qjw27nrQ2PtWx/cs+HeCbN7Pa8ZgpctucjrGqeCsC42Anffy/s3DxgsUpSPTJBkCQNmjcWnuLyYbe3bH9z7zv5RfNpPT5/M+P40J6Psz0VJwx65Tn4fx+rdJiSVNdMECRJg+Z/NrSOWPS7fcfzt3v/uNfXWJoO5X/t+YvWF568HTZ1PMGaJKn3TBAkSYPisFjfMt9Bcwr+au9fsI+GPl3r35vfxN37TihuJVh4S2WClCSZIEiSBsd7G+5sWb+r+UTWpCn9ut5t+85p3Xj0Vti7q1/XkyRlTBAkSQNuJLv5o4bftGy3+XLfR3c3nwQHzMg2tr8CT/+s6xMkST1igiBJGnBvLzzExNgGwJo0md82n9DNGd1rpgCnXNT6wiP/3O9rSpJMECRJg+B9w37dsv4ve8/OvtxXwsnvh8KwbP2FB2DDU5W5riTVMRMESdKAmhurOKXwLAC7UwP/uu/Myl28cRrM+S+t24/cXLlrS1KdMkGQJA2o9zW0th7c0XwqrzC+sjd4/X9vXX/8X2HXtspeX5LqjAmCJGnAjGUH72q4r2X7tr39L07ez6w3w6TZ2frurfDEDyt/D0mqIyYIkqQB898a7mVc7ARgWfMM/jPNqfxNIuB1H2zdfuSfIaXK30eS6oQJgiRpgCT+rKx70Xf3nQ3EwNzqxPfAsNHZ+vonYM0jA3MfSaoDJgiSpAFxSjzD3MJqALankfx435sH7majJ8Dx727ddshTSeozEwRJ0oAoH9r0J/vexFbGDOwNX1/WzejJ22H7poG9nyQNUSYIkqSKm8gW3l54qGX7uxWYOblbh5wCB52Yre/bBY99d+DvKUlDkAmCJKni/rDhN4yMvQA81nwkT6XDB+fGbYqVb7ZYWZL6wARBklRxb28obz04e/BuPO8PYeQB2fqm52HDk4N3b0kaIkwQJEkVNYnNzI8VAOxNBX6573WDd/MRY2H277duP/urwbu3JA0RJgiSpIo6o7CYQmRdexal2Wxh3OAGcJQJgiT1hwmCJKmizmx4vGX9nn0nDn4AR5UVRK9+CHa8NvgxSFINM0GQJFVMgWbeUmhNEO5uziFBGDcFDj45W0/74Pm7Bz8GSaphJgiSpIo5MZ7jwGgCYH2awJJ0aD6BWIcgSX1mgiBJqpgzGx5rWb9n3wlA5BPI7HNb15/7NTQ35xOHJNUgEwRJUsWcVShLEPLoXlRy8EkwemK2vm0DrF+cXyySVGNMECRJlbF1A/MKKwHYkxq4r/n4/GIpNLQtVn7ObkaS1FMmCJKkynju1y2rC9PRbGVMjsHQtpuRdQiS1GMmCJKkyih7Sn93HsObtnfkW2mpgVjzMGzflGs4klQrTBAkSf23by88d1fL5j3NJ+QYTNHYSTCjOItzaobld3V9vCQJMEGQJFXCmv+EXZsBWJsmsizNzDmgImdVlqReM0GQJPVf2ZfvXIc3ba98PgSHO5WkHqnpBCEiZkTEzRGxNiJ2RcTKiLguIib04hr3RETq4mfUQL4HSRoSyhOEPIc3be+gE2HslGx9+8uw7tF845GkGjAs7wD6KiKOBO4HpgI/BZYCpwKXA+dFxOkppVd6ccmrO3l9b78ClaShbsta2PAEALvzHt60vUIhG+708e9l28/+Gg45Jd+YJKnK1WyCANxElhxcllK6ofRiRHwV+BjwBeDDPb1YSumqSgcoSXWhbHjTh5vn0MToHIPpwOzfL0sQFsCZ/yvfeCSpytVkF6OIOAI4F1gJ3Nhu95VAE3BhRIwd5NAkqf6UdS+6u5q6F5UccRZE8ePuxYXQ1JvGZUmqPzWZIABvLS4XpJTaVJyllLYC9wFjgNN6esGI+JOI+HREfDwi3hYRIysXriQNUfv2wPK7WzarYnjT9sZMhBmnFjcSLL8z13AkqdrVahejY4rLZzrZ/yxZC8PRQE8/Cb7fbntjRFyaUvpRT06OiIWd7JrTw/tLUu154UHYvTVbH38oz204JN94OjP792H1g9n6swtg/h/nG48kVbFabUEYX1xu7mR/6fUDe3CtnwLvBGYAo8m+0F9TPPdfI+Jt/YhTkoa2stmTmX0OVTO8aXtthju9E5r35ReLJFW5Wm1B6E7pEyp1d2BK6WvtXloG/HVErAVuAL4I/EcPrtPhsBjFloWTuztfkmpS2ezJzD4X7q3SeQamz4cbvi0sAAAgAElEQVRx02HbetixCdY95mhGktSJWm1BKLUQjO9k/wHtjuuLfyIb4vTEiGjsx3UkaWjauRk2PJmtRwEOOz3feLoSAYef0br9woP5xSJJVa5WE4RlxeXRneyfXVx2VqPQrZTSTqDYsRZHQ5Kk9tY8TEtD7bTjYdQBXR6eu0PLxq0wQZCkTtVqglAaMuPciGjzHopP+08HdgB9/gSIiGOACWRJwst9vY4kDVkvPNS6fmiPB43LT3mMqx+C1G0vVEmqSzWZIKSUlgMLgFnApe12X032xP87KaWm0osRMSci2owoFBFHRMR+Q25ExGTg28XN76eUnE1Zktp74YHW9ZlvyC+OnpoyF0YWe6Zu2wCvrsg3HkmqUrVcpHwJcD9wfUScDSwB3gCcRda16DPtjl9SXJYPsXEG8E8R8RtgObAJOBR4O1l9wyPApwbqDUhSzdq3J5t0rOTQN+YXS08VCjDz9a0zP7/wEEw8It+YJKkK1WQLArS0IrwOuIUsMbgCOBK4HnhjSqknU2UuBG4DpgLvLl7jPOAJ4DLg9JTSaxUPXpJq3fonYM/2bH38TBhfpfMftNemm5F1CJLUkVpuQSCltBq4uIfH7jc4d0rpCeCiCoclSUPf6rL6g1roXlQy00JlSepOzbYgSJJyVF5/UAsFyiWHnAKF4rOxl5bC9k35xiNJVcgEQZLUOynV3ghGJSPGZJOmlax5OL9YJKlKmSBIknrntVXZjMQAIw+AqcfmG09vlRdU281IkvZjgiBJ6p3y1oMZr4NCQ36x9MWhZTUTJgiStJ+aLlKWJOWgfPSfmfl2L5r16Z/3+pwpbOPhUdn6zlUPM+/TP2VPLz4OV177jl7fU5JqiS0IkqTeKX/qXkv1B0UvcSCrmqcCMCr2cHw4YZoklTNBkCT13I7XYGNx3sloyLoY1aBH0tEt66cUnskxEkmqPiYIkqSeW/MwkLL16fNgxNhcw+mrR5qPaVl/fWFZjpFIUvUxQZAk9Vyb7kVv7Py4KleeIGQtCCm/YCSpypggSJJ6rk2CUEMzKLfzXDqYzWkMAJNjC7Nifc4RSVL1MEGQJPXMvj3w4sLW7ZxHMOqPRIGFza11CHYzkqRWJgiSpJ5Ztxj27sjWDzwUDjgo33j6qU03o7BQWZJKTBAkST2zemjUH5Q8UtaC8DpHMpKkFiYIkqSeeeGB1vWZtVt/UPJ4OpLdKZsF+qjCWiawJeeIJKk6mCBIkrqXErzwUOt2DU6Q1t4uRvBUOrxl+5TCszlGI0nVwwRBktS9V1dA08ZsfeR4mDI333gq5OGyOgS7GUlSxgRBktS98taDmadCYWh8fJSPZHSKIxlJEmCCIEnqifL6gxqe/6C98gRhfjzPSHbnGI0kVQcTBElS91aXtyDUfv1BycuMZ0XzNABGxl6OjxU5RyRJ+TNBkCR1becWeGlpth4NcMgp+cZTYQtTax3CiYXncoxEkqqDCYIkqWvrHm9dn3YsjBiTXywD4LHmI1vW5xdsQZAkEwRJUtfWPtq6ftCJ+cUxQJ5obh3qdF48n2MkklQdTBAkSV0rTxAOPim/OAbI0nQoe4oTph1RWE8j23OOSJLyZYIgSeraEE8QdjGCZWlmy/bxdjOSVOdMECRJndvxajZJGkBhOEw7Lt94BojdjCSplQmCJKlzax9rXZ92HAwbmV8sA+iJdETLuoXKkuqdCYIkqXNDvHtRyWJbECSphQmCJKlzdZIgPJNmsisNA+CwwkbGsy3niCQpPyYIkqTOrSvrYjSEE4TdDGdpOrRle57djCTVMRMESVLHml6B117I1htGwtS5+cYzwMoLlefbzUhSHTNBkCR1bF1Z96Lp86BheH6xDILFZYXK8womCJLqlwmCJKljdVJ/UPJEc3mCYBcjSfXLBEGS1LG19VF/UPJsOoSdKWslmREvM4nNOUckSfkwQZAkdazOWhD2Moyn02Et27YiSKpXJgiSpP1t3QBbXszWh4+ByUfnG88gWVzezchCZUl1ygRBkrS/8uFNp8+HhmH5xTKIyusQnFFZUr0yQZAk7a/OuheVOJKRJJkgSJI6UqcJwvJ0MNvTSACmx6tM5dWcI5KkwWeCIElqK6V2CcKJ+cUyyJop8GSa1bJtK4KkemSCIElqa+s62LYhWx8xDiYdlW88g8w6BEn1zgRBktRWeevBQSdAoSG/WHKwuPnwlvXjwwRBUv0xQZAktVWn9QclT6TyFoTngZRfMJKUAxMESVJbdZ4grEjT2ZpGAzAlNjOdTTlHJEmDywRBktRqvwLl+ksQEgWeLOtmNN9CZUl1xgRBktRq82rY/kq2PnI8TDi86+OHqMWp9X3Ps1BZUp0xQZAktWrTenACFOrzY6LNSEZhC4Kk+lKf//JLkjpW592LSvafUdlCZUn1wwRBktTKBAGAF9JUNqcxAEyMbcyIl3OOSJIGjwmCJCljgXKZYHFZN6N5djOSVEdMECRJmVdXws7N2froCXDgYbmGk7f950OQpPpggiBJyqxf3Lo+fT5E5BdLFXiqeVbL+rGxKr9AJGmQmSBIkjLrn2hdP2h+fnFUiadSawvKsQUTBEn1wwRBkpRZ164Foc6tStPYlkYB2YzKU3g154gkaXCYIEiSMuUtCCYIJAosSYe2bB9nK4KkOlHTCUJEzIiImyNibUTsioiVEXFdREzoxzXPiIh9EZEi4vOVjFeSqlbTy7B1bbY+bBRMOirfeKrE081l3YxiZX6BSNIgGpZ3AH0VEUcC9wNTgZ8CS4FTgcuB8yLi9JTSK728ZiPwf4HtwLjKRixJVay8QHnacdBQsx8PFfV0mtWyfmxhFezLLxZJGiy1/AlwE1lycFlK6YbSixHxVeBjwBeAD/fyml8HxgPXFM+XpJo169M/7/Gx/6Ph3/nr4dn6v6waz1/34tyh7Kk2LQh2MZJUH2qyi1FEHAGcC6wEbmy3+0qgCbgwIsb24prvAi4GLgPWViZSSaoN5f3rn071Pf9BuWfTDPam7KPyiMJ6xrIj54gkaeDVZIIAvLW4XJBSai7fkVLaCtwHjAFO68nFImIq8I/AT1JKt/UloIhY2NEPMKcv15OkwVT+dLx8/P96t4sRPJsOadmeEy/kGI0kDY5aTRCOKS6f6WT/s8Xl0T283rfIfhe97ZIkSTVvFLs4IrKG0+YULE0zc46oupS3qBxXWJlfIJI0SGq1BmF8cbm5k/2l1w/s7kIR8UHgXcCfpJQ29DWglNIpnVx/IXByX68rSQNtTqymIRIAz6eD2MGonCOqLk83H8a7G+4FrEOQVB9qtQWhO1Fcpi4PipgFXAf8MKX0gwGOSZKqUvlTcesP9lc+kpEtCJLqQa0mCKUWgvGd7D+g3XGduRnYAVxSiaAkqRZZf9C18rkQjo41sG9PjtFI0sCr1QRhWXHZWY3B7OKysxqFkpPJhkp9qTgxWoqIBHy7uP8zxdd+0r9wJal62YLQtc2MY02aDMDI2AsvLevmDEmqbbVag3B3cXluRBTKRzIqTnZ2OlnLwIPdXOc7ZKMdtTcbOAN4DFgIPNrviCWpCjWwr83IPOVPy9Xq6ebDmNHwcrax/gmYfny+AUnSAKrJBCGltDwiFpDNhXApcEPZ7quBscA/pJSaSi9GxJziuUvLrnNZR9ePiIvIEoSfp5T+puJvQJKqxKxYz6jIusysTxN4pdOem/XtqeZZnNuwMNtY/wTwnlzjkaSBVJMJQtElwP3A9RFxNrAEeANwFlnXos+0O35JcRlIkgA4Lla2rNt60Lk2Xa/WL84vEEkaBLVag0BKaTnwOuAWssTgCuBI4HrgjSmlV/KLTpJqw7FlMyg/VTZaj9pqkzytXwypy0HyJKmm1XILAiml1cDFPTy2xy0HKaVbyBIPSRrSbEHomReZzGtpLAdGE+zcDK+9ABP8fUkammq2BUGS1F/JFoQei3atCE/kF4okDTATBEmqU9PZxKTYCsDWNJrVaUrOEVW3NgmUdQiShjATBEmqU+WtB0+nw0h+JHTJFgRJ9cJPA0mqU9Yf9E6bkYzW2YIgaegyQZCkOtW+BUFdW54OZlcanm1sWQPbN+UbkCQNEBMESapTx0ZZgtA8K79AasRehrEszWh9wW5GkoYoEwRJqkONbOewwkYAdqcGnin/4qtOPVWeSFmoLGmIMkGQpDo0t6z14Lk0gz21PS3OoGk7o7ItCJKGJhMESapDxxVWtqxbf9BzbVoQLFSWNESZIEhSHSqvP3jKEYx6bFmaCUS28fIzsGdHrvFI0kAwQZCkOnRcwQLlvmhiNEw8IttI+2Dj0/kGJEkDwARBkurMcPZyVKxp2baLUS8dNL913ToESUOQCYIk1ZnZsYYRsQ+AF5qnsJUxOUdUY6bPa123DkHSEGSCIEl1pu0EabPyC6RWTS9rQdjwZH5xSNIAMUGQpDrTdoI0uxf1WnkLwvonobk5v1gkaQCYIEhSnZkbL7SsL0mH5hhJjRo3DcZMztb3NMGrK/KNR5IqzARBkupKYm7BFoR+iWjbimA3I0lDjAmCJNWRg3mFA6MJgM1pDC8yOeeIatT041vXHclI0hBjgiBJdaS89WBpOpSWSb/UO9Pa1SFI0hBigiBJdcQC5QppU6hsC4KkocUEQZLqyNxCa4GyE6T1w+TZ0DAiW9+yBrZvyjceSaogEwRJqiNzbUGojIbhMHVu6/aGp/KLRZIqzARBkurEWHZweGEDAHtTgefSITlHVOOm2c1I0tBkgiBJdeKYWN2yvjwdzC5G5BjNEFA+kpFDnUoaQkwQJKlOHFs+/4H1B/3XplB5cX5xSFKFmSBIUp0oH8FoSbMzKPfbtONa119aBvv25BeLJFWQCYIk1YnyEYyW2ILQf6MnwPiZ2fq+3fDyM/nGI0kVYoIgSXWgQDNzoixBcASjynA+BElDkAmCJNWBWbGe0bEbgI3pQF5mfM4RDRHTygqVTRAkDREmCJJUB5xBeYDYgiBpCDJBkKQ6MLdsBKMlyQLlimk/1GlK+cUiSRUyrFIXiogAzgF+HzgDOBSYDOwANgKPAXcBP0spvVip+0qSujfX+oOBceAsGDEOdm+D7a/A1vVwwEF5RyVJ/dLvFoSIGBMRnwaeB+4APgGcChxIlhjsBY4A3g3cCKyIiH+LiDf1996SpJ4pnwPhKUcwqpxCwToESUNOvxKEiLgYeBb4IllLwdVkLQgHppTGpJRmpJQmkbVUHAt8EPg34G3A7yLiXyPCtm5JGkAT2ML0eBWAnWk4K9P0nCMaYtp0MzJBkFT7+tvF6J+BnwDXpJQe7uyglFIClhZ/bomIA4APAJ8GLgI+1884JEmdKJ//YGmayT4acoxmCGpTqPxkfnFIUoX0N0F4XUppUW9PSiltAW6IiH8EZvUzBklSF9rOoGz3ooqb5khGkoaWfnUx6kty0O78nSmlpf25hiSpa45gNMCmzoUofpy+8hzsbso3Hknqp4oOcxoRX6zk9SRJ/eccCANsxBiYdFRxI8HGJbmGI0n9Vel5ED4dEX9f4WtKkvpoBHs4Kta2bC+1BWFgOJKRpCGk0gnCd4APRcS/RESH9Q0RcXpE3F/h+0qSOnBUvMjw2AfAquapbGNMzhENUeWFyhssVJZU2yo2URpASumiiHgF+BgwPiLenVLaCRARRwPXAu+q5D0lSZ07tk39gd2LBsx0C5UlDR2VbkEgpXQF8Ddkcx0siIijI+JG4AngfGAhcG6l7ytJ2l/bGZTtXjRgyrsYbXgKmpvzi0WS+qmiLQglKaUvRsRm4AagVK21DPjfKaV/G4h7SpL216ZA2RaEgdM4HcZMhu0vw+5t8OoKmHRk3lFJUp9UvAUhMu8Hrii9BKwH3mxyIEmDKbUb4tQEYcBEtJtR2ToESbWr0sOcnk/WlejbwHSymoMriut3RsTUSt5PktS5g9jEgZGNyb8ljWFNmpxzRENcm5GMTBAk1a5KdzG6HWgmG83ob1JKLwJExHrgFuC+iPj9lNLKCt9XktTOsYWVLevZBGmRWyx1Yfr81nULlSXVsEp3MfoVcHJK6eJScgCQUvoe8N+Ag4F7I+K4Ct9XktROeYGyE6QNAkcykjREVDRBSCn9QUppcSf7fgH8ATAO+E0l7ytJ2t9xZS0IFigPgsmzoWFktr5lDWzflG88ktRHFS9S7kpK6V7gLcCewbyvJNWjNiMYNc/KL5B60TAcps5t3bYVQVKN6leCEBGje3tOSulx4Pf6cw1JUjd2buawwkYA9qQGnk2H5BxQnbCbkaQhoL8tCCsi4vKIGNmbk1JKyyPihIj4KfCJfsYgSWqvbBSdZ9MMdjM8x2DqyEEntK6v77DHrSRVvf4mCAuArwLrIuLvI+KsrloEIuKIiPifEfEAsAg4Abi7nzFIktore3pt/cEgsgVB0hDQr2FOU0rvj4jrgS8C/6P4sy8ilgDrgFeBUcAk4BhgMtk4exuAzwBfSynt6k8MkqQOlCcIjmA0eKYdR/Yxl+ClZbBnJwwflXdUktQr/a1B+CSwNaV0LjAH+FtgMXAscC7wJ8C7aK05uB14L3BoSuna/iYHETEjIm6OiLURsSsiVkbEdRExoTfvISJ+UTx3W0RsiYgnIuKrETGjP/FJUm7Kurc8ZYHy4BnZCBOPyNbTPtj4dL7xSFIf9HeitC8Bo4HPpZSejYibgb8mazU4hKzlYAewMaW0rp/3aiMijgTuB6YCPwWWAqcClwPnRcTpKaVXenCpDwHbyIZe3QAMB04CPgb894g4M6X0aCVjl6QBtXc3bFzSsplNkqZBM30ebFqera9/Ag45Od94JKmX+psg7Gl3jSXAlSmlzwPPFn8Gyk1kycFlKaUbSi9GxFfJvtx/AfhwD65zfEppZ/sXI+IvgG8Vr/P2ikQsSYPh5WXQnI0mvbp5ClsYm3NAdWb6PHj6J9m6dQiSalB/i5TXkj1tL4kKXLNbEXEEWRemlcCN7XZfCTQBF0ZEt5+KHSUHRT8oLmf3MUxJykfZl9Kn0qz84qhXjmQkqcb1twXh34GPRMTPyeoLAFI/r9kTby0uF6SUmst3pJS2RsR9ZAnEacCdfbzHO4vLHv3rHhELO9k1p4/3l6S+Wdf6z5YFyjloM5LRk9DcDIVBnZdUkvqlvwnCZ4DDgXcA5xVf+5uIeDfZMKaLgEeBx1JKTf28V7ljistnOtn/LFmCcDQ9TBAi4s+BGcA4YB5wDrAK+HS/IpWkweYQp/kaNw3GToGml2BPE7y6AiYdmXdUktRj/R3mdCvwzog4Bjgb+AbwGlm3nPnARWQtCikiniVLFhYBi1JKd/Xj1uOLy82d7C+9fmAvrvnnwBvKth8G3ptSeq4nJ6eUTuno9WLLghVqkgZHSm27GDmC0eCLgOnzYXnx+dS6x00QJNWUirR5ppSWpZRuKm7eCDTSmiDcQDba0MHAnwJfBn5Vift2IUqh9fSElNJpKaUgm6vh3OLLCyPivC5Ok6Tq8toLsCt7RvJqGsc6JuYcUJ1ywjRJNay/XYza+0NgbbEu4Mniz3dKOyPiaOAU2hY290WphWB8J/sPaHdcjxWHRv1VRDxMNnTqdyLisJTSjt6HKUmDbH37+oPo/FgNHBMESTWsoglCSun2bvY/Q1Y38L1+3mpZcXl0J/tLIw91VqPQrZTSaxHxAHA+cBzwSF+vJUmDxhGMqoMjGUmqYbU6rMLdxeW5EdHmPUREI3A62QRtD/bzPocUl3v7eR1JGhzlBcqOYJSfiUfA8DHZ+rYNsHVDvvFIUi/UZIKQUloOLABmAZe22301MBb4TvnISRExJyLaDDkaEYcV51TYT0R8CHg9sBqwfVhSbSgf4tQRjPJTaIBpx7Vub/BjRFLtqHQNwmC6hKz4+fqIOJtsFuc3AGeRdS36TLvjlxSX5R1yTwJuj4j7i+dsACaRzZ8wD9gGXJhS2jdQb0KSKmb7JtiyJltvGMnydHC+8dS76fNhzcPZ+rrFcNQ5+cYjST1Uky0I0NKK8DrgFrLE4ArgSOB64I3FYuPuLAK+Bowgm8vhE8B7yEY/+gpwbErpNxUPXpIGQnkx7LRj2UdDfrHIQmVJNauWWxBIKa0GLu7hsfsN5ZFSeoEssZCk2lf+JXT6PHg+v1BE1oJQYoIgqYbUbAuCJKmd8tFyyr+cKh/TjoXSOBqvPAe7m7o+XpKqhAmCJA0VbVoQTBByN3w0TC6Nxp1gw1O5hiNJPWWCIElDwZ6d8FJpiphoO4KO8tOmDsH5ECTVBhMESRoKNj4NpQHXJh0JI8flG48y1iFIqkEmCJI0FLQvUFZ1KP9vsc4WBEm1wQRBkoYCE4TqVP7fYuPTsG9vfrFIUg+ZIEjSUOAIRtVp7GRoLE5Yt3dnNpqRJFU5EwRJqnXNzbD+ydZtE4TqclB5HYLdjCRVPxMESap1r66APcUx9sdOhcZp+cajthzJSFKNMUGQpFrXpnuR9QdVp02C4EhGkqqfCYIk1bry0XEOsntR1Snv8rVuMaSUXyyS1AMmCJJU69Y91rpu/UH1mTALRo7P1ndsgs2rcw1HkrpjgiBJtSwlWFuWIBx8Yn6xqGMRbVt2yv97SVIVMkGQpFq2eXX2VBpg1HiYcHi+8ahj5YnbOhMESdXNBEGSaln50+iDTsieVqv6HFSWINiCIKnKmSBIUi0rfxp9kN2LqtbBJ7Wur3vMQmVJVc0EQZJqmfUHtWHC4TDygGx9+yuweU2+8UhSF0wQJKlWpWQLQq0oFLIuYCXWIUiqYiYIklSrNq/OnkZDNozmxCPyjUddK08QrEOQVMVMECSpVrUpUJ5vgXK1a1+HIElVygRBkmrVOusPakr7kYwsVJZUpUwQJKlWrbX+oKZMPAJGNGbr21+GLS/mG48kdcIEQZJqUfsC5fLuK6pO7QuV1z6aXyyS1AUTBEmqRZvXlBUoH+AMyrXiYCdMk1T9TBAkqRatazeDcsF/zmuChcqSaoCfKJJUi5wgrTZZqCypBpggSFItcoK02mShsqQaYIIgSbUmpXYtCBYo14z9CpXtZiSp+pggSFKt2fJi9vQZLFCuReVdwqxDkFSFTBAkqdaUD49pgXLtaV+HIElVxk8VSao1a9uNYKTa0r4FwUJlSVXGBEGSao0TpNW2iUe2Fio3vQRb1uYbjyS1MyzvACSpXsz69M8rcJXEIyP/k8mRbZ31L6+xIlXiuho0hQIcNB9W3Zdtr3sMxh+Sb0ySVMYWBEmqIQexicmxBYCtaTQr07ScI1KfWIcgqYqZIEhSDZlXeL5l/ak0i+Q/47XJkYwkVTE/WSSphhxfWNGy/kSzw5vWLGdUllTFTBAkqYbMCxOEIWHSUTBiXLbetBG2rss3HkkqY4IgSTUjtWlBeDKZINSsQgGmz2/dtg5BUhUxQZCkGjGdTUwpK1BekabnHJH6pbwOoXzyO0nKmQmCJNWI+WUFyk+nwyxQrnUHWagsqTr56SJJNcIC5SHmYAuVJVUnEwRJqhHzLVAeWtoXKjujsqQqYYIgSTUhcUJhecvW4+nIHGNRRRQa2nYzevGR/GKRpDImCJJUA2bFeibENgBeTeNYaYHy0DDjda3ra0wQJFUHEwRJqgEnxXMt6482HwVEfsGocma8vnXdBEFSlTBBkKQacFKhfYKgIaG8BWHto7BvT36xSFKRCYIk1YCTCs+2rD+WTBCGjMbpMH5mtr53B2x4Kt94JAkTBEmqeqPYxdx4oWX78WYLlIeUNnUID+cXhyQVmSBIUpU7PlYwLJoBeLb5ELYwNueIVFHldQgvLswvDkkqMkGQpCpn/cEQ16ZQ2RYESfkzQZCkKtcmQbD+YOiZPh8Kw7P1V56D7ZvyjUdS3TNBkKQqV54gPGYLwtAzfBRMn9e6bTcjSTkzQZCkKjadVzgosifKTWkkz6QZOUekAeF8CJKqSE0nCBExIyJujoi1EbErIlZGxHURMaGH54+NiD+LiH+JiKUR0RQRWyPikYi4IiJGDPR7kKSunFhY3rK+uPlI9tGQYzQaMNYhSKoiw/IOoK8i4kjgfmAq8FNgKXAqcDlwXkScnlJ6pZvLvBm4DdgE3A38BJgIvBP4O+CCiDg7pbRzYN6FJHWtfP4D6w+GsPKhTl98BJqboVDTz/Ak1bCaTRCAm8iSg8tSSjeUXoyIrwIfA74AfLiba6wH3gf8MKW0u+wajcA9wJuAS4GvVDRySeqhtvUHzn8wZE2YBWMmwfZXYOfmrFh5ytF5RyWpTtXk44mIOAI4F1gJ3Nhu95VAE3BhRHQ5WHhK6bGU0nfLk4Pi61tpTQrOrETMktRbw9jLvFjRsu0Qp0NYRLv5EKxDkJSfmkwQgLcWlwtSSs3lO4pf7u8DxgCn9eMee4rLvT05OCIWdvQDzOlHDJLq2DGxmtGRPb9YkybzEj0qr1KtckZlSVWiVhOEY4rLZzrZX+q025/22Q8Wl3f04xqS1GdOkFZnLFSWVCVqtQZhfHG5uZP9pdcP7MvFI+IjwHnAY8DNPTknpXRKJ9daCJzclzgk1bc2BcrNs3OMRIPi4JOBABJseAp2N8GILnvKStKAqNUWhO5EcZl6fWLEBcB1ZAXM704p7enmFEkaECdG6xCnFijXgVEHwJRir9TUDGsfyzceSXWrVhOEUgvB+E72H9DuuB6JiPOB7wMbgTNTSs/3LTxJ6p8D2cqRhXUA7E4NPJVm5RuQBod1CJKqQK0mCMuKy85qDEpt8Z3VKOwnIv4I+CGwAXhLSmlZN6dI0oApnyDt6TSLXThvY12wDkFSFajVBOHu4vLciGjzHopzGJwO7AAe7MnFIuK9wPeAtWTJwbPdnCJJA8oC5TrVJkF4BFKve8pKUr/VZIKQUloOLABmkU1kVu5qYCzwnZRSU+nFiJgTEfsNORoRHwBuBV4AzrBbkaRqcGKYINSlKcfAiHHZ+rb1sOXFfOOR9P/bu/Mwucoy7+Pfu7qzkZCwRjFAQsIqENmRRSKnagUAACAASURBVCBhMYoL4MqMDKLI+Mq84qijjI4LLq847uA448bggooKioAKyGKUyCJhDWFLSCAQICSQhaxd9bx/nOqqSiedrbvr1PL9XFdd5zznnD794ypS3XefZ2lLzTqLEcAHgGnARRFxPDATOByYRNa16JM9rp9Z3nYPYCYiJpHNUlQgeypxVkT0+DJeTCl9s9/TS1IvghIH1D5BSBYIbaPQAWMOgsenZu15d8KonfPNJKntNG2BkFKaFRGHAJ8jm5L09cB84CLggpTSok24zViqT1He08s1c8lmNZKkuhgf8xkVywF4Po3kyTQ650Sqq50PrSkQ/g77nppvHkltp2kLBICU0pPAWZt47TqPBlJKlwKX9m8qSeqbdccfrPPxpVbmQGVJOWvKMQiS1MoOdPxBextTM9Xp0/dA1+r8skhqSxYIktRgap8g3OP4g/YzYkfYZmy2X1wFz96fbx5JbccCQZIayEiWsXc8AUAxBfeVxuecSLnY5fDq/txp+eWQ1JYsECSpgRxaeJhCZHPfP5B2Yxlb5ZxIuRh7ZHV/zq355ZDUliwQJKmBHFZ4qLJ/e2mfHJMoV+OOru4/MQ1KpfyySGo7FgiS1EAOL8ys7N9eWmdtR7WL7XeH4eXpbVcuhudm5JtHUltp6mlOJamVDGcF+8UcAEopuLO0V76BtF7jzr+2Lt/n24PG84aO57LGnFvh5fvX5ftKkk8QJKlBHFJ4hM7IupI8lHZlCSNyTqQ8rfUEae5f8wsiqe1YIEhSgzjM7kWqsdYYlLnTIKX8wkhqKxYIktQgDq8ZoHybA5Tb3qNpDItS+SnS8oWw4OF8A0lqGxYIktQAhrKKiTGr0r7TJwhtL1HgjrWeItjNSFJ9WCBIUgM4qPAog6MIwCOlMSxiZM6J1AjW6mrmegiS6sQCQZIawNrTm9q9SJm1nyDc6jgESXVhgSBJDeBwF0jTesxMu7IklVfTXvYsLJqdbyBJbcECQZJyNoTVHBiPVdrOYKRuJQrcUbsexhzHIUgaeBYIkpSzV8UshsQaAGaXXs4Cts05kRrJ7T27GUnSALNAkKScOf5AG7LW/xNzHIcgaeBZIEhSzg5z/IE2YEYaB4PL6yEsmQcvPpFrHkmtzwJBknLUSRcHFx6ttC0Q1FORDtjl8OoBuxlJGmAWCJKUo4kxm61iFQBPlnZkPtvnnEgNadxR1X3XQ5A0wCwQJClHa01vmnx6oF6MPbq674rKkgaYBYIk5WjtAcpOb6pevOJA6ByW7b8wBxY/lWscSa3NAkGSctJBkYMLj1Tajj9QrzoHwy6HVttzp+WXRVLLs0CQpJy8MuaydawAYH7ajifS6JwTqaHZzUhSnVggSFJO1u1eFPmFUeNzoLKkOrFAkKScuECaNsuYQ6BjcLa/8FFY+my+eSS1LAsEScpBgdJaC6Td4QBlbcygoVmR0M1uRpIGiAWCJOXgVTGLUbEcgOfSNsxKr8g5kZrCbq+p7s+6Kb8cklqaBYIk5eC4jnsr+38uTsTxB9oku59Q3X/sRkgpvyySWpYFgiTl4NjCPZX9W0oH5JhETWXMwTBs22x/6Xx49oF880hqSRYIklRn27GEifE4AMUU/KW0X86J1DQKHTBhcrX96A35ZZHUsiwQJKnOXlO4j0JkXUOmpz1YwoicE6mp9OxmJEn9zAJBkups7fEHr8oxiZpSbYHw5G2wckl+WSS1JAsESaqjoMQxhfsq7VtKFgjaTCNGw07l/29KXTD7llzjSGo9FgiSVEcTYzbbx1IAFqSRzEjj8g2k5rT7idX9xxyHIKl/WSBIUh0dW/P0YGrpVSQ/hrUlnO5U0gDyJ5Mk1dFxHTXTmzr+QFtq50Nh6Khsf8lT8NzMfPNIaikWCJJUJ9uwlANiFtA9ven+OSdS0+rohPGTqm27GUnqRxYIklQnxxTur0xvem+awItsnXMiNbU9asYhuB6CpH5kgSBJdXLsWt2LXD1ZfTTh+Or+E7fBqqX5ZZHUUiwQJKkeSk5vqn42cid4WbmbWmkNPD413zySWoYFgiTVwzP3smNkC1otTFtzf9ot50BqCXvUzGZkNyNJ/cQCQZLq4dE/VXanliY6van6x1rrIfzJ6U4l9Qt/QklSPdTMMuP0puo3uxwGQ0Zm+4ufhAUP55tHUkuwQJCkgbbiBZh3JwClFEwtTcw5kFpGxyAYf2y1/difer9WkjaRBYIkDbRZN0MqAXBfGs8LjMw5kFrKWt2MHIcgqe868w4gSS2v5q+6f3b2Im2Bcedf2+u5lxPcNjTbXzXrrxx4/hUsZ2ifvt+cC0/u09dLam4+QZCkgVQqrVUgOP5A/e0Ztueh0i4ADIkujijMyDmRpGZngSBJA2n+3bDsWQAWpRHcmybkHEitqHZdjRMK03NMIqkVWCBI0kB64MrK7s2lAyn5sasBcEPx4Mr+lI476aQrxzSSmp0/qSRpoKQEM35baV5dfHWOYdTKpqc9mJ+2A2DbWMaRdjOS1AcWCJI0UObdCUvmZftDt+HW0v755lHLShS4tnh4pf2Gwm05ppHU7CwQJGmgzPhNdX+fN7LGieM0gK4pHlHZf23HnQyym5GkLdTUBUJE7BwRl0TE0xGxKiLmRMQ3I2LbzbjHiRHxtYi4MSIWRUSKiL8OZG5JbaBUWqt7Efueml8WtYV70gTmpR0AGBXLObpwf86JJDWrpi0QImICcBdwFnAH8A1gNnAe8LeI2H4Tb3Uu8GHgSOCpAYgqqR09eRssfTrbH7Yd7Hbshq+X+iy4pmacyxs6/pZjFknNrGkLBOA7wGjggymlU1JK56eUJpMVCnsBX9zE+3wZ2A8YAbxxQJJKaj+13Yte+SbosHuRBl5tgXBi4S6GsDrHNJKaVVMWCBExHjgJmAP8V4/TnwFeAs6IiOEbu1dK6W8ppRkppWK/B5XUnkpFePCqanvf0/LLorbyQNqNuaXRAIyMFRxTuC/nRJKaUVMWCMDk8vb6lFKp9kRKaSlwK7AV4JyCkupv7q2VxdEYviOMOzrfPGojwTWl2m5GzmYkafM1a4GwV3n7SC/nHy1v96xDFgAi4q71vYC965VBUoNYq3vRm6HQkV8WtZ3a2YxOsJuRpC3QrAXCqPJ2cS/nu49vU4csklRV7IIHf1dt271IdTYz7cqs0k4ADI9VTCrck3MiSc2mWQuEjYnyNtXrG6aUDl7fC3ioXhkkNYA5U2H589n+iJfDrvZ0VL317GbkbEaSNk+zFgjdTwhG9XJ+ZI/rJKk+arsX7XuK3YuUi9puRscX7mYYK3NMI6nZNGuB8HB529sYgz3K297GKEhS/yuugZlXV9t2L1JOHk0780hpDADDYjXHF+7OOZGkZtKsBcLN5e1JEbHWf0NEbA0cBawAnL5BUv3MvgVWvJDtjxwDOx+aaxy1t9qnCM5mJGlzNGWBkFKaBVwPjCNbCbnWBcBw4McppZe6D0bE3hHhjEKSBs5a3YtOhUJTfsSqRVxbOryyP6lwD8NZkWMaSc2kmZf2/AAwDbgoIo4HZgKHA5PIuhZ9ssf1M8vbqD0YEUcDZ5ebI8rbPSLi0u5rUkrv7s/gklpQ1yqYeU21bfci5WxWGsPM0q7sU3iCIbGGEwp3cVXJNTkkbVzT/nmr/BThEOBSssLgI8AE4CLgiJTSwk281e7AmeXXW8rHRtccO7P/UktqWY9cB6vK8yJssyuMOSjfPBJwdbE6m9GpHbfmmERSM2naAgEgpfRkSumslNJOKaXBKaWxKaXzUkqL1nNtpJRiPccv7T7X26s+/zWSmtrff1jd3/9tEH50KH+/Kx1Jqfxj7JjCfewaz+acSFIzaOoCQZIawvOPZQOUAaIAB787zzRSxbw0mj+XJgJQiMQ/dNyYcyJJzcACQZL66u+XVPf3eG3WxUhqED8pnljZf3vHLQxhdY5pJDUDCwRJ6ovVy+Gen1bbh57d+7VSDm4pHcC8tAMA28UyXl+4PedEkhqdBYIk9cUDV8DK8uDkbcfBhMm5xpF6KlHgsq4TKu0zOm/IMY2kZmCBIElbKiW48/vV9iHvde0DNaRfFo9lVcpmNj+o8Bj7xuM5J5LUyPxJJklb6qnpMP/ebL9jCBz4rnzzSL1YyCh+X7Nw2rs6/pRjGkmNzgJBkrbUnT+o7u/3Fthqu/yySBvxk67qYOVTOm5lJC/lmEZSI7NAkKQtsXwRzLiy2nZwshrc9LQHD5bGAjAsVvOWjqk5J5LUqCwQJGlL3HMZdK3M9nc6wJWT1QSCnxSrg5WzbkYpvziSGpYFgiRtrlIJ7qxZOfnQs105WU3hquJRLEnDAJhQmM+RhRk5J5LUiCwQJGlzzb4JXijPAjN0VDb+QGoCyxnKFcVjKu0zOpzyVNK6LBAkaXPVPj044F0weKv8skib6bLi8ZX9Ewt38XIW5phGUiOyQJCkzfHik/DIH6vtQ96TXxZpCzyWduZvxVcC0BklTu+8OedEkhqNBYIkbY5pF0MqZfvjJ8EOu+ebR9oCtYOVz+i4nuGsyDGNpEZjgSBJm+rFJ+Gu/622X/2B/LJIfXB96RCeLO0IwHaxjPd0/CHnRJIaiQWCJG2qqf8JxdXZ/s6HwR4nbvh6qUF10clFxVMr7fd1XssoluWYSFIjsUCQpE2xcBbcfVm1ffynnNpUTe3K4muYVdoJgJGxgnM6r8k5kaRGYYEgSZvili9BKmb7ux0Lux2z4eulBlekg290vbXSPqvjOnZgcY6JJDUKCwRJ2phnH4T7f11tT/5UflmkfnRt6XAeLI0FYKtYxQc6r8o5kaRGYIEgSRtz8xeBlO3vOQV2OTTXOFJ/SRT4Ws1ThH/s+BM7uS6C1PYsECRpQ56aDg/V9M2e9Mn8skgD4MbSQdxdyqbrHRJd/N/O3+ScSFLeLBAkaUNu+kJ1f99TYaeJ+WWRBkTw1a63VVpv6/gzLJqdYx5JebNAkKTezJ0Gs27M9qMAx30i3zzSALm1tF9ldeVBUYRbLsw5kaQ8WSBI0vqkBDd+vtqe+E7Ycc/88kgDKvhK19urzft+Cc/NzC+OpFx15h1AkvIw7vxrN3j+2MK9/GjwNABWpw4m33EY827f8NdIzWx62pObigcwueMeIGXd69552Ua/TlLr8QmCJPUwjJV8vvOSSvvy4iTmpdE5JpLq42u1TxEeugYesiiW2pEFgiT18PHOX7BrYQEAi9NWXNR1as6JpPqYkcZxRfE11QPX/CssX5RfIEm5sECQpBqvLjzIuzuvr7Q/u+ZMFrBtjomk+vrcmjNgxMuyxrJn4Q8fzzeQpLqzQJCksmGs5D87v1tp31A8iN+Ujs4xkVR/ixkBb/xW9cD9v7SrkdRmLBAkqaxn16JPrnkvEPmGkvKw1+tg4juqbbsaSW3FAkGSWH/XoufsWqR2NuVCuxpJbcoCQVLb28quRdK6ttrOrkZSm7JAkNT2Ptaja9En7FokZfZ6XbZIYLerP2RXI6kNWCBIamtHFGY4a5G0IVO+VO1q9NJz8IePZSuNS2pZFgiS2tbYeIZvD7qo0rZrkbQe63Q1+hVMuzi/PJIGnAWCpLa0HUv40aAvs30sBWBh2tquRVJv9nodHPCuavuGT8EDV+SXR9KAskCQ1H5WL+eHg7/KuMKzAKxIgzl79UftWiRtyMlfg7FHVdu/eT/MuTW/PJIGjAWCpPZSKsIVZ3Ng4bGsmYLz1pzL3WmPnINJDW7QUHjHT2GHPbN2cTX84nRY8HC+uST1u868A0hS3aQEfzwfHq5O1fjZrn/i+tKhOYaSGs+483ufznTnOJcrB3+G0fEirFzMvG+/nlNXXdDnJ3BzLjy5T18vqf/4BEFS+5h2MdzxvUrzu10n8+Pia3MMJDWfeWlHzlr9b7yUhgCwczzPJYO/wlaszDmZpP5igSCpPdz3y2xgZdnVxVdzYdfpOQaSmteMtBvnrjmPrpT9GrF/YQ7fGfQthrA652SS+oMFgqTWlhJM/Spc+b7qsbFH8dE17yf5EShtsVtKB/DJrvdW2sd13MvPB3+BHVicYypJ/cGfjpJaV9eqbKaVmz5fPbbj3vCOn7KKwfnlklrE5cVJfKvrtEr7oMJj/HbIp9grnsgxlaS+skCQ1JpeWgg/fjPc94vqsXGvgbP+kC38JKlffKPrLXxmzZkUU7aGyM7xPFcM/izHFe7OOZmkLWWBIKn1PPcQfH8SPPG36rEDz4B3XWlxIPW74EfF1/LeNR9laRoGwIhYyQ8HfZWzOv4ApHzjSdpsFgiSWssj18EPT4QX55YPBJz0BXjTxdBptyJpoNxSOpC3rv4M89IOAHRE4jODfsIXOy9x8LLUZCwQJLWGJU/Dr94NP3s7rFqSHRs0HN75Mzjy/0JErvGkdvBw2pVTVn2e6aXdK8f+sfNGbhj8b0yyy5HUNCwQJDW3Yhf87b/g24fCjN9Uj48cA+/5I+z9+vyySW3oeUZx+ur/4KrikZVjuxYW8L+Dv8L/DPoGr+D5HNNJ2hQWCJKa1xO3w/eOhes+AauXVY9PfAec82fYaWJ+2aQ2torBnLfmXD6+5n28kEZUjk/puJM/Dfk3zum4mk66ckwoaUMsECQ1n6fvgSveB5ecBM8+UD2+w15w5jVw2vdgxI755ZMEBJcXJ3H8qq9yeddxlaNbxSo+Mejn/H7wv3NaYSqDWZNfREnr1Zl3AEkad/61G72mgyInFf7OWZ1/5LDCw2udW5EGc1HXafxg3utZ890lwMbvJ6k+FjGSj3edw6+Kx/CFQf/L3oUnAdiz8BRfH/w//Hv6OZcVj4elh8DWL8s5rSSwQJDU4LZhKe/suJkzOm9gTCxc5/wNxYO4oOtM5iWfGEiN7O9pb96w+ouc2XEdH+78NcNjFQA7xmI+1HklfONq2O80OPyf4RUHObGAlCMLBEkNZ3w8zeTC3ZzQMZ1D4mE6o7TW+TWpg2tLh3Np1xTuSbv3chdJjaaLTn5YPJkri6/h9HLhv1Msyk6W1sB9l2evbcbCnlNgrykw9ijoHJJvcKnNNHWBEBE7A58DpgDbA/OB3wIXpJRe2Iz7bAd8GjgF2AlYCPwR+HRKaV5/55a0tlEsY2JhNscW7mVy4W7GF55Z73XPp5H8rDiZn3adyHNsW+eUkvrLC4zkO8U3873iyUwp3Mm7O6/jkMIj1QtenAt3fDd7DR4BEybDnq+FXY+AbXeDgkMopYHUtAVCREwApgGjgauAh4DDgPOAKRFxVEpp3f4I695n+/J99gRuAn4B7A2cBZwcEUeklGYPzH+F1IZWvADz74On74b598DTd3Pv0Dkb/JLppd35WfF4ri4ewSpc7ExqFV10ck3pCK5ZfQQTYxZndl7HSYW72DpWVC9avQxm/i57AUvSMB4o7cZ9aTwPlHbj/rQbT6bRlDZz3pU5F57cn/8pUktp2gIB+A5ZcfDBlNLF3Qcj4uvAvwJfBN6/Cff5f2TFwTdSSh+uuc8HgW+Vv8+Ufswtta5iF6xYBC8tgGXPZX8FfGFO9bXocVj54kZv81Iawl9KE7mxdCC3FA9gAdsMdHJJObsvTeAjaz7AILo4rDCT4wt3c3xhOmMLz6113chYwZEdD3IkD1aOrUqdzEs78mQazRNpNHPTaJ5Mo3kmbcfCNJKFjGQldlOSNlWklPLOsNkiYjwwC5gDTEgplWrObU3W1SiA0SmllzZwn+HAAqAE7JRSWlpzrlD+HuPK32OLniJExF0HHXTQQXfdddeWfLnUd6USpCKUiutui2uyfr/FNTX7q2HNSuhaAV2rYM0K6FqZbVctXfe1cjEsfz4rCpYvAjb/M2VV6uShtCt3l3bn5tKB3FbaxycFkoDEhHiaEwrTOaLwIPsXZrN9LN34l63HsjS0UiwsTsOZNHECDNk6ew0dlW0HbQWDhmVjHjqHwaCh0Dk0axcGQccgKHRCx+DqfqEDoqPHtuAga+Xi4IMPZvr06dNTSgf35T7N+gRhcnl7fW1xAJBSWhoRtwInAa8GbtzAfY4AhpXvs9YnTkqpFBHXA+cAk4Dm6mZ09Xnw8B/zTtEk6lAk91qIp16uSTXHeuyn8vlKu2abSuX9UvXVaDqHwg57ZLOUvOJAeMWB7HfRXNY07ceRpIETzEpjmFUcw3eLbwQSr2Ah+xdms3/hcSbGbPYpzGXHWLLRO42IlYyIlYyl/ERixr0DG50oFwqFasEQhfLx6LEtXw/VYz33K+0e32O933qgixOLn032L3dkBWiTadafyHuVt4/0cv5RsgJhTzZcIGzKfSjfZ4MiordHBK+aOXMmBx/cp0Ju870wZ5O6ckj9rtBZfXUMzl6dg6FjSLYtDAJWALeWX/DEU4vzTCypicwH1v6BO4QC2zOYLgZHF4NYk+3TRSdFOqNIJ0WiHn8Mknq67NjsqVKdzJw5E7LeL33SrAVCdynW228V3cc31nG5v+6zIcUVK1Ysnj59+pw+3GNL7V3ePpTD91b9NNj7vLr8Uj9qsPdYA8T3uQ9W5h1g0/k+t4fsfZ5/b73f53HAxh+pbUSzFggb0/3sq69/Ltjk+/S1r9dA6H6q0YjZ1H98n1uf73F78H1uD77P7aHZ3+dmnUi4+y/7vXXqGtnjuoG+jyRJktQSmrVAeLi87W1swB7lbW9jC/r7PpIkSVJLaNYC4eby9qTydKQV5WlOjyIbBXnbRu5zW/m6o8pfV3ufAtlA59rvJ0mSJLW0piwQUkqzgOvJBmKc2+P0BcBw4Me1ayBExN4RsXfthSmlZcBPytd/tsd9/qV8/+tcSVmSJEntopkHKX8AmAZcFBHHAzOBw8nWLHgE+GSP62eWtz0n7/0EcBzw4Yg4ALgD2Ad4M/Ac6xYgkiRJUstqypWUu0XELsDngCnA9mTTI/8WuCCltKjHtdnyUimts7pHRGwHfAY4BdgJWAj8Afh0SmneQP43SJIkSY2kqQsESZIkSf2rKccgSJIkSRoYFgiSJEmSKiwQJEmSJFVYIEiSJEmqsECQJEmSVGGBIEmSJKnCAqEFRcTOEXFJRDwdEasiYk5EfDMits07m/ouIraPiLMj4jcR8VhErIiIxRHx14h4b0T477pFRcQZEZHKr7PzzqP+ExGviYgrImJ++XN7fkRcHxGvzzub+kdEnFx+T+eVP7dnR8SvIuKIvLNp00XEWyPi4oj4S0QsKX8e/3QjX3NkRPw+IhZFxPKIuC8iPhQRHfXKvbmaeSVlrUdETCBbYXo0cBXwEHAYcB4wJSKOSiktzDGi+u5twH+TLQx4M/AE8DLgNOAHwOsi4m3JRU5aSnlhyIuBZcCInOOoH0XEfwCfB54HriH7t70DcCBwHPD73MKpX0TEl4GPkS3E+luy93p34M3AWyLin1JKG/wlUw3jP4BXkX0WzwP23tDFEfFm4ApgJXA5sAh4I/AN4Ciyn+kNx4XSWkxEXAecBHwwpXRxzfGvA/8KfDel9P688qnvImIyMBy4NqVUqjn+cuAOYBfgrSmlK3KKqH4WEQHcAOwGXAl8FHhfSukHuQZTn0XE24BfAn8CTkspLe1xflBKaU0u4dQvyp/NTwELgIkppedqzk0CbgIeTymNzymiNkP5PZsHPAYcS/aHustSSu9az7Ujy9eNAo5KKf29fHwo2ft+BHB6SukXdYq/yeyK0EIiYjxZcTAH+K8epz8DvAScERHD6xxN/SildFNK6era4qB8/Bngf8rN4+oeTAPpg8Bk4Cyyf8dqAeXugF8GlgP/0LM4ALA4aAljyX7fur22OABIKd0MLAV2zCOYNl9K6eaU0qOb+JT+rWTv7S+6i4PyPVaSPYkA+D8DELPPLBBay+Ty9vr1/PK4FLgV2Ap4db2DqW66f5noyjWF+k1E7ANcCHwrpTQ17zzqV0eSPRX6PfBCuY/6xyPiPPult5RHgdXAYRGxQ+2JiDgG2JrsCZJaT/fvZX9cz7mpZH8cODIihtQv0qZxDEJr2au8faSX84+SPWHYE7ixLolUNxHRCfxTubm+DyM1mfJ7+hOycSafyDmO+t+h5e2zwHRg/9qTETGVrLvggnoHU/9JKS2KiI8DXwcejIjfko1FmAC8iaz74D/nGFEDp9ffy1JKXRHxOLAvMB6YWc9gG2OB0FpGlbeLeznffXybOmRR/V0I7Af8PqV0Xd5h1C8+TTZQ9eiU0oq8w6jfjS5v3w88DpwA3E7WJeVrwGuBX2GXwaaXUvpmRMwBLgHeV3PqMeDSnl2P1DKa9vcyuxi1lyhvHZneYiLig8BHyGatOiPnOOoHEXEY2VODr6WU/pZ3Hg2I7ikOg+xJwY0ppWUppRnAqWQDIY+1u1Hzi4iPAb8GLiV7cjAcOBiYDVwWEf+ZXzrlqGF/L7NAaC3dleioXs6P7HGdWkBEnAt8C3gQmJRSWpRzJPVRTdeiR4BP5RxHA+eF8nZ2Sune2hPlJ0bdTwIPq2sq9auIOI5sMPrvUkofTinNTiktTylNJysEnwI+Up5oRK2laX8vs0BoLQ+Xt3v2cn6P8ra3MQpqMhHxIeDbwANkxcEzOUdS/xhB9u94H2BlzeJoiWxGMoDvl499M7eU6qvuz+wXeznfXUAMq0MWDZw3lLc39zyRUlpONj11gaw7oVpLr7+Xlf8QtBvZpCKz6xlqUzgGobV0f/icFBGFHnPkb022IMcK4LY8wql/lQe9XQjcA5yYUno+50jqP6uAH/Zy7iCyXyT+SvbDx+5HzWsq2S8He0TE4JTS6h7n9ytv59Q1lfpb9ww1vU1l2n285/uv5ncT8I/AFODnPc4dQzaz5NSU0qp6B9sYnyC0kJTSLOB6YBxwbo/TF5D1efxxSsl51JtcRHyKrDi4Czje4qC1pJRWpJTOXt8L+F35sh+Vj12eZ1ZtufK/28vJuh98uvZcRJxINkh5Mc5K1uz+Ut6eExFjak9ExOvI/ni3EphW72AacL8mWzX7nRFxSPfB8kJpXyg3/zuPYBvjHIeR7wAAAzpJREFUSsotJiImkH3IjAauIps263BgElnXoiNTSgvzS6i+iogzyQa6FYGLWX/fxTkppUvrGEt1EhGfJetm5ErKLSAiRpOtUbM72S+Sd5DNYnQq2cDFf0gp/Sq/hOqr8oJ415HNUrUU+A3wDFkXwjeQDVT9UErpW7mF1CaLiFOAU8rNl5MV8rOpFoLPp5Q+2uP6X5MVgb8AFpFNb7tX+fjbN3HRtbqyQGhBEbEL8DmyR1rbA/OB3wIXOIC1+dX8grghf04pHTfwaVRvFgitJyK2I1tV9VRgDNkvkX8FvpRSsktoC4iIQWRP9t8JvJKsa8kisoLwopTS9TnG02bYhJ/Bc1NK43p8zVHAJ4EjgKFk09teQvbeFwcmad9YIEiSJEmqcAyCJEmSpAoLBEmSJEkVFgiSJEmSKiwQJEmSJFVYIEiSJEmqsECQJEmSVGGBIEmSJKnCAkGSJElShQWCJEmSpAoLBEmSJEkVFgiSJEmSKiwQJEmSJFVYIEiSJEmqsECQJEmSVGGBIEmSJKnCAkGS1BAi4vqISBFxWo/jERGXls9dmFc+SWoXkVLKO4MkSUTEq4DpwMPA/imlYvn414APA99PKZ2TY0RJags+QZAkNYSU0r3AT4B9gDMAIuITZMXBL4H355dOktqHTxAkSQ0jInYGHgWeBb4KXAxcB7wppbQ6z2yS1C4sECRJDSUivgScX25OA05MKS3PMZIktRW7GEmSGs2Cmv33WhxIUn1ZIEiSGkZEnE7WteiZ8qHzcowjSW3JAkGS1BAi4vXAj4AZwETgIeDsiNg712CS1GYsECRJuYuIo4FfA/OAk1JKC4BPAZ2Aax9IUh05SFmSlKvy+gd/BlYAR6eUZtWcuxM4BDgmpfSXnCJKUlvxCYIkKTcRsTvZNKYJeG1tcVD27+XtV+oaTJLamE8QJEmSJFX4BEGSJElShQWCJEmSpAoLBEmSJEkVFgiSJEmSKiwQJEmSJFVYIEiSJEmqsECQJEmSVGGBIEmSJKnCAkGSJElShQWCJEmSpAoLBEmSJEkVFgiSJEmSKiwQJEmSJFVYIEiSJEmqsECQJEmSVGGBIEmSJKnCAkGSJElSxf8HX+XpFU1T+KEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a21c36588>"
]
},
"metadata": {
"image/png": {
"height": 278,
"width": 388
}
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b5d3160>"
]
},
"metadata": {
"image/png": {
"height": 278,
"width": 388
}
},
"output_type": "display_data"
},
{
"data": {
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WreI1r3kNa9eu5e1vfzvLly/nZz/7GZ///Oe56aabuPPOO5k/f35V1/rEJz7BL3/5S2bPns2BBx7IypUrG9z62hkQJEmSOtS+++7LRRdd1Opm7OXDH/4wd9xxB3fccQeTJk1q+v3PPPNM1q5dyxVXXMEHPvCBknZddtllnH/++XzpS1+q6lqXXXYZBx54IIcddhi33XYbJ5xwQqOaXTeWGEmSJDXYFVdcQURw9dVX73Vs8+bNdHV18cY3vrEFLWucbdu28fGPf5yXv/zldHd3VyxnWrt2bcnrPvShD/H1r3+dW265hUMOOaTp7X7sscdYsWIFS5Ys4ayzzio5dvHFFzNr1iyuu+46enp6qrreCSecwNKlS4mIRjS3IexBkCRJarD77rsPgGOOOWbIYymlIY81Wl9fH9dffz2/+93vmDVrFi996Ut53eteV/O39mvXruX1r389K1eu5KUvfSnve9/76Ovr45vf/CZr1qxhypQpvPCFL2TBggUsWrRo4HXnnHMO3/jGN/jxj3/M8uXLa317Y3LLLbcAcNJJJ9HVVfpdend3N8cddxwrVqzgnnvu4cQTT2xFExvOgCBJktRg9913H9OnT+fFL37xXsfuvfdeAI4++uiKr7/88svZtGlT1fc76qijOPnkk0c8b82aNZx66qklzx188MFcc801vP71r6/6fuXe+c53snLlSv7qr/6KSy+9dODb84985CMsXbqUPXv2cM8997BgwYKB15x11llcd9113HDDDcydO5c1a9YA2XiI4cZE1PvP5qGHHgJg2bJlQx5funQpK1as4OGHHzYgSJIk1c1Fc1rdgupdtLmml+/YsYMHH3yQo48+msmT9/7oVQwIw/UgXH755TzxxBNV3/O0004bMSCcccYZHH/88bz4xS+mu7ubxx57jC9+8Yt8+ctf5g//8A+5++67ednLXlb1PYt++MMfcvPNN3PcccdxySWXlJTWHHTQQRx//PH86Ec/4oEHHuBNb3rTwLGrrroKYK8P3RdeeOGw4yTq/WezeXP233vOnKH/Hy0+P5pQ0m4MCJIkSQ30q1/9it27d1cMAL/4xS/o7u5m6dKlFa+xevXqurfrwgsvLHl85JFH8qUvfYnZs2fzd3/3d1x00UV897vfHfV1r7/+eiAbS1BeogODH7D7+/tLnk8pjfpe0Jg/m+EU29lOYwpGy0HKkiRJDTTc+IPNmzezatUqXv7yl4+bD5zve9/7APjJT34yptfffvvtdHV18eY3v3nI40899RQAhx122Nga2GDFAFPsSSi3ZcuWkvMmInsQJElS89VYttNOhgsId955JymlYccfQOPGIAylOGi42ll68vr7+3niiSdYtGgRs2bN2uv4c889x89//nMOPvjgus1QVO8/m8MPPxyAhx9+eMjjjzzyCFB5jMJEYECQJElqoGJAOOCAA/Y69o1vfAMYfvwBNGYMQiV33303wJg+wBd7QYqrIJeXGH3mM5+hv7+f9773vWNq21Dq/WdTXKdgxYoVe72HrVu3cueddzJjxgyOPfbYsTd6nLPESJIkqUF27drFb37zGwDuuOOOkmP//M//PFCv/5KXvGTY66xevZqUUtU/11577bDX++1vf8uGDRv2ev6JJ57g/e9/PwDvete79jp++umnExEVrx8RvOxlL6Onp4evf/3rJce+9a1vcfnll7N8+XLOOeecYds3GvX+szn00EM56aSTWL16NVdeeWXJsQsvvJCenh7e/e53l/SQrFq1ipUrV7Jr1666va9WsgdBkiSpQX7zm9/Q19fHfvvtx5/92Z9xyimnMH/+fH75y19y//33s2jRIp577jk+/vGP85GPfKRp30p/85vf5NJLL+WEE07g4IMPpru7m1WrVnHjjTeyY8cO3vKWt3Deeeft9briwOKhZmMquuCCCzjllFM444wzuOmmmzjooIP4+c9/zo9+9COWLl3K97//faZPn96w91YPV111Fa95zWs4++yzufnmmzniiCP46U9/yq233sqyZcv45Cc/WXL+iSeeyBNPPMHjjz/OkiVLSo7dcMMN3HDDDQADU7fefffdnH766QAsWLCAz372sw1/T6NhQJAkSWqQYnnRBRdcwGOPPca1117L9u3bedWrXsWtt97KbbfdxgUXXMATTzzBC1/4wqa164QTTuChhx7i/vvv5+6776anp4d9992X1772tZx66qmceuqpQw6a/vWvf013dzdvfetbK1775JNP5rvf/S6f/vSn+c53vkNKaeBD9dlnnz3smgbjxaGHHsovfvELLrjgAm666Sa+//3vs//++3P22Wdz4YUXMm/evKqv9cADD/DVr3615LnHHnuMxx57DIAXvehF4y4gxFinlFJ1IuLeo48++ujiHMeSpOos+eiNozp/9aWVP7Co+R588EEAjjjiiBa3pLXOOussrrrqKn7605/yyle+stXNqcmmTZuYP38+5557Lp/5zGda3ZyOUu3fp2OOOYb77rvvvpRSTctyOwZBkiSpQe677z4mTZo04hiDdnD77bczZcoUPvzhD7e6KWowS4wkSZIaYM+ePfzqV79i+fLlzJgxo9XNqdnb3vY2duzY0epmqAkMCJKk8WFnL6x7cODhS2PVwP76NIdnWNCKVkljtnLlSnp7eznqqKNa3RRpVAwIkqTW27oGrjoWtm8ceOp700pPuXDXaXx1zx80uWHS2L34xS/GsZ5qR45BkCS13m9vKAkHQ3nnpJub1BhJ6mz2IEiSWm/dysH9OS+EWfP55VObCRIv7XocgIPjWSaxhz1MalEjJakz2IMgSWq99Q8P7r/17+C//5i37/wEf7zzk6xJcwGYGnt4YaxtTfskqYMYECRJrbfuocH9hYeXHHqk/4CB/cPi6Wa1SJI6lgFBktRaPc9D7/psf8pMmHNQyeFH02BAWGpAkKSGMyBIklprfa73YMFS6Cr91ZQPCId2GRAkdZZWzIRlQJAktVa+vGjB4XsdfrSkxOiZZrRIdRARAPT397e4JVJ7KwaE4t+pZjAgSJJaq2T8wbK9Dj+aXjCwf1g8TeAHznYwbVq2kEVPT0+LWyK1t+LfoeLfqWYwIEiSWitfYrRw+V6Hn2cfNqTZAMyKPvZnQ7Naphp0d3cDsGbNGrZu3Up/f7+LhklVSinR39/P1q1bWbNmDTD4d6oZ2nYdhIj4E+D1wFHAy4Bu4B9TSu8axTXmA/8ReCvwEuAAYCfwa+Aa4JqUkl9VSVIjjVBiBMGj6QBeGdl5S7ue5pn+Bc1pm8Zs3rx59PT00Nvby1NPPdXq5khtbebMmcybN69p92vnHoSPAe8nCwhjHbX2n4CvAK8CfgpcDnwbOBL438A/RzMLviSp0/RthS2Ff8K7JsO8g4c87dH+0jIjjX9dXV0cdNBBLFy4kOnTpze1flqaCCKC6dOns3DhQg466CC6upr3sb1texCADwFPAY+S9STcOoZrPAz8MXBjvqcgIv4G+BnwDuAUstAgSaq3/AJp8w+DSVOGPO3RdODA/qEGhLbR1dXFggULWLDAHh+pnbRtD0JK6daU0iOphoLGlNItKaV/LS8jSimtAb5UePiGGpopSRpOSXnR3gOUi/IDlZc61akkNVTbBoQm2FXY7m5pKyRpIhtmBeW8vac6dbCrJDVKO5cYNUxETAbeXXh4U5WvubfCob2n5JAkZfIlRkPMYFT0DPPZlqYzO3YwN7Yxny08z5wmNFCSOo89CEO7lGyg8vdTSj9odWMkacJat3Jwf5gSIwhWWWYkSU1hD0KZiDgbOBdYCZxa7etSSsdUuN69wNH1aZ0kTSC7dsDG1YUHAQuWDnv6o+kAXsZjQDaT0T38XmPbJ0kdyh6EnIg4C/g88O/ACSklV+ORpEbZsAqKc0TMfRFMmTHs6flxCIfGM41smSR1NANCQUR8EPgi8BuycLCmxU2SpImtpLyo8gDlopKZjMKFtySpUQwIQET8D+Ay4AGycLC2xU2SpIlvXX6A8sgB4ZGUm8moyx4ESWqUjggIETElIpZHxKFDHPufZIOS7wVOTCmtb3oDJakT5XsQqggIT6ZF9KVs6Nzi2Eg3vY1qmSR1tLYdpBwRJwMnFx4uLmxfHRHXFvbXp5TOK+wfADwIPAEsyV3jNODjwB7gduDsIZaCX51Surb8SUlSjfJTnFZRYrSHSTye9md5PAlkA5XvT8MPbJYkjV7bBgTgKOC0sucOKfxAFgbOY3gHF7aTgA9WOOc24NoxtE+SVMme3fD8o4OPFw43xemgR9MBLKcQELqe5v49BgRJqre2LTFKKV2UUophfpbkzl1d/lyV14iU0hua/NYkaeLbuBr27Mz2u/eH6dUtepYfqHxYuBaCJDVC2wYESVIbW//Q4H4V4w+KHuk/cGD/MKc6laSGMCBIkppvXS4gVDH+oMgeBElqPAOCJKn58gGhyvEHAI+n/dmTsskkDop1TGNnvVsmSR3PgCBJar6SEqPlVb9sJ1N4Iu0HQFckV1SWpAYwIEiSmiul0kXSRlFiBLAqv2CaAUGS6s6AIElqrs1Pwa6ebH/GXJi1YFQvLxmH0PVUPVsmScKAIElqtvLyor0XqBzWI/32IEhSIxkQJEnNVVJeVP0A5aJHS0qMnMlIkurNgCBJaq51Kwf3RzFAuWhVrsTo4FjDZHbXo1WSpAIDgiSpudbnehBGMcVpUQ8zeDrNB2BK7OFF8Vy9WiZJwoAgSWqmlEp7EEY5g1HRqn4XTJOkRjEgSJKap2c9bN+Y7U+dDXMOHNNlHkmDr3OgsiTVlwFBktQ8+RmMFiwd9QxGRaVTndqDIEn1ZECQJDVPHcqLAB7NTXW61BIjSaorA4IkqXk2PD64v+CwMV8mP5PRCx2kLEl1ZUCQJDXPtrWD+/scUPm8EWygm51pUnaZ2M50+mptmSSpwIAgSWqebblv+2cvquFCwTr2HXi0IDbXcC1JUp4BQZLUPPkehNn71XSpdWnOwP4iNtV0LUnSIAOCJKl5SnoQag0Igz0IC+1BkKS6MSBIkppj907YviHbjy6YOb+my+V7EBaGPQiSVC8GBElSc/SsG9yftRC6JtV0ufwYBHsQJKl+DAiSpOao2wDlTEmJkWMQJKluDAiSpOao4wBlKC8xsgdBkurFgCBJao5tawb36xIQ8iVGG2u+niQpY0CQJDVHSQ9CHUqMsAdBkhphcqsbIEnqDF/74c94d+G3zsW3rueaH91Y0/X2GoOQEkTUdE1Jkj0IkqQmyU9Fmv9wP1Y7mMaWNAOAqbEHtltmJEn1YECQJDVFvgyoHgFhr+vkS5gkSWNmQJAkNUV+KtL8+IFarM9fJz+NqiRpzAwIkqTGS6mkB2GtPQiSNG4ZECRJjbdzGzOjD4DtaSrbmFGXy+bXQrAHQZLqw4AgSWq83Lf72Yf6+sw2VNqDYECQpHowIEiSGi/34X0d9Skvyq6V70GwxEiS6sGAIElqvHxAqNP4g72uZQ+CJNWFAUGS1Hh7lRjVh4OUJan+DAiSpMZrUA/CWgcpS1LdGRAkSY23NT8GoX49CBvYh/5UGPDcux727KrbtSWpUxkQJEmN16AehD1M4nm6B5/oWVe3a0tSpzIgSJIaryQg1K8HAWC9A5Ulqa4MCJKkxisZpFy/HgQoW5XZgcqSVDMDgiSpsfr3lJT+rK/jGAQoW1fBHgRJqpkBQZLUWL0bIO0BYFOaxU6m1PXy65zJSJLqyoAgSWqsBg1QHvKalhhJUs0MCJKkxmrgAOW9rmkPgiTVzIAgSWqs/ABlGtCDgD0IklRPBgRJUmPlvtVf25ASI3sQJKmeDAiSpMYqmeK0ESVG9iBIUj0ZECRJjdXgQcpbmElfKsyMtHMb9G2r+z0kqZO0bUCIiD+JiC9ExO0RsSUiUkRcP8ZrHRgRV0fEMxHRFxGrI+LyiJhb73ZLUsfJB4QGjEGAYB2WGUlSvbRtQAA+BrwfOAp4eqwXiYhDgXuBM4CfAZcBjwHnAHdHxPzamypJHazBsxhl17XMSJLqpZ0DwoeAZcA+wF/WcJ2rgEXA2Smlk1NKH00pvZEsKBwOfLLmlkpSJ2twiVF2XXsQJKle2jYgpJRuTSk9klJKY71GRBwCnASsBq4sO3wh0AOcGhEDwnZiAAAgAElEQVSzxtxQSepku3bAjs0A7E5dbGR2Q25jD4Ik1U/bBoQ6eWNhuyKl1J8/kFLaCtwJzASObXbDJGlC6Bn8sL6eOaQG/dopmT7VHgRJqsnkVjegxQ4vbB+ucPwRsh6GZcDNw10oIu6tcGj52JomSRNAg6c4Hbg2BgRJqpdO70Eo/rbaXOF48fnGFM1K0kTXhPEH2bXzYxAsMZKkWnR6D8JIorAdcZxDSumYIS+Q9SwcXc9GSVLbaFpAsAdBkuql03sQij0Elfq99yk7T5I0GvkSo4r/1NbOHgRJqp9ODwgPFbbLKhxfWthWGqMgSRpOk3oQ1ufDR89a6O+vfLIkaVidHhBuLWxPioiSP4uI6AaOA7YD9zS7YZI0ITRpkHIfU2F64fr9u2H7xobdS5Imuo4ICBExJSKWF1ZNHpBSWgWsAJYAZ5W97GJgFvC1lFJPUxoqSRNNk3oQAJi935D3lSSNTtsOUo6Ik4GTCw8XF7avjohrC/vrU0rnFfYPAB4EniALA3lnAncBV0TEiYXzXgWcQFZadH4j2i9JHSEfEBo4BgHIAsL6hwfvu9/vNfZ+kjRBtW1AAI4CTit77pDCD2Rh4DxGkFJaFRGvAD4OvBl4C/AscAVwcUppQ91aLEmdJCXYOhgQ1qa5jb3f7EWD+/YgSNKYtW1ASCldBFxU5bmrGZyydKjjTwJn1KNdkqSCHZthT1+2P2UWvTumN/Z+lhhJUl10xBgESVIL5KcbzX+73yglPQhOdSpJY2VAkCQ1Rv5b/Py3+41iD4Ik1YUBQZLUGCUBoRk9CAYESaoHA4IkqTFKSoya3YNgiZEkjZUBQZLUGJYYSVJbMiBIkhqj2YOUZ86DmJTtb98Iu/saf09JmoAMCJKkxmh2D0LXJJi1cPBxz7rG31OSJiADgiSpMZrdg1B+H8uMJGlMDAiSpMZodg9C+X0cqCxJY2JAkCTVX/8e6F0/+Dhf+tNIDlSWpJoZECRJ9dezDlJ/tj9jHkye2pz75kuMthoQJGksDAiSpPprRXlR+b3sQZCkMTEgSJLqrxUDlMvvZUCQpDExIEiS6m9c9CA4SFmSxsKAIEmqv3xA6LbESJLaiQFBklR/JSVGTQwI3WU9CCk1796SNEEYECRJ9Zf/9n5WE8cgTJ0NU2Zm+7u3Q9+W5t1bkiYIA4Ikqf568msgLGjefSNgZu5+vc83796SNEEYECRJ9Zf/YN7MgAAwa/7gfo8BQZJGy4AgSaq/fA/CzCYHhJIehPWVz5MkDcmAIEmqr5RKexBmzq98biPk72eJkSSNmgFBklRfOzZB2pPtT50NU6Y39/75kqYeexAkabQMCJKk+uppYe9B+T0tMZKkUTMgSJLqq5XlReX37N3Q/PtLUpszIEiS6qu3RVOcDnVPS4wkadQMCJKk+mrlDEbl97TESJJGzYAgSaqvkhKjec2/v7MYSVJNDAiSpPpq5SJp4EJpklQjA4Ikqb5aXWI0fV+ISdn+zq2wu6/5bZCkNmZAkCTVV6tnMYqwzEiSamBAkCTVV6tnMSq/rzMZSdKoGBAkSfXV6oXSyu/rTEaSNCoGBElSfbW6xKj8vi6WJkmjYkCQJNXPru2wqyfb75oC0+e0ph2WGEnSmBkQJEn1UzKD0fxswHAruFiaJI2ZAUGSVD/jobyo/N7OYiRJo2JAkCTVT8kMRi0MCCWLpdmDIEmjYUCQJNVPyQxGLZritPze9iBI0qgYECRJ9WOJkSS1PQOCJKl+xsMiaeX3tsRIkkbFgCBJqp/yWYxaJX/v7Rugv791bZGkNmNAkCTVz3gpMZo0BaYV1mBI/bBjU+vaIkltxoAgSaqffEBoZYkROJORJI3R5FY3QJLUnpZ89Ma9nrt56moOLXz1dNKX/52H09Ymtypn5gLY8Fi237seWNa6tkhSG7EHQZJUN3NjMBBsTN0tbAnOZCRJY2RAkCTVRRf97EvPwOONzG5ha7DESJLGyIAgSaqLuWylKxIAm9Isdre6irVksTQDgiRVy4AgSaqLfHnRhlaXF0FZidGG1rVDktpMWweEiDgwIq6OiGcioi8iVkfE5RExd5TXeW1E/Evh9Tsi4ncR8f2IeHOj2i5JE818cgGBfVrYkgIXS5OkMWnbgBARhwL3AmcAPwMuAx4DzgHujoiqJuCOiL8EbgdOLGwvA24DXg/8W0ScX//WS9LEMy+2DOyPjx4ES4wkaSzaeZrTq4BFwNkppS8Un4yIzwEfAj4JvG+4C0TEFOASYAdwTErpodyxTwH3A+dHxGdTSn31fwuSNHHMG9clRs5iJEnVassehIg4BDgJWA1cWXb4QqAHODUiZo1wqXnAHODhfDgASCk9CDwMzIBWT8UhSePfPHI9COOixCg/i5EBQZKq1ZYBAXhjYbsipdSfP5BS2grcCcwEjh3hOmuBdcCyiFiaPxARy4ClwAMpJX+zSNII8j0Iz4+LHoSyEqOUWtcWSWoj7VpidHhh+3CF44+Q9TAsA26udJGUUoqIs4DrgXsj4rvAM8ABwH8Efgv8aTUNioh7KxxaXs3rJandzRtPi6QBTJ0Fk6bBnj7YvQN29WbPSZKG1a4BYU5hu7nC8eLz+450oZTSNyPiGeDrwLtzh54DriEb+CxJGsG4KzGKyGYy2vJ09rhnvQFBkqrQriVGI4nCdsT+5Ih4F/AjshmMjiArTTqCrOfhi8A3qrlhSumYoX6AlWN5A5LUbkpLjMZBQAAHKkvSGLRrQCj2EMypcHyfsvOGVBhncDVZKdGpKaWVKaXtKaWVwKlk06j+p4h4Q+1NlqSJraTEiHFQYgQGBEkag3YNCMUZh5ZVOF4ccFxpjELRScAU4LYhBjv3Az8pPDxmLI2UpM6RSkqMxsUgZXCxNEkag3YNCLcWtidFRMl7iIhu4DhgO3DPCNeZVtgurHC8+PzOsTRSkjrFLHYwLXYDsD1NZTvTW9yigpKZjOxBkKRqtGVASCmtAlYAS4Czyg5fDMwCvpZS6ik+GRHLI6J8RqHbC9s/iYiX5g9ExFHAn5CNY7ilfq2XpImnZBXl8VJeBGUlRvYgSFI12nUWI4AzgbuAKyLiROBB4FXACWSlReeXnf9gYVscwExK6WcRcQ1wBvDzwjSnT5AFj5OBqcDlKaXfNvB9SFLbm884W0W5qGSxNAOCJFWjbQNCSmlVRLwC+DjwZuAtwLPAFcDFKaUNVV7qz8nGGpwO/AHQDWwB7gC+klKqahYjSepkcyMfEMbJDEZQVmJU7a8FSepsbRsQAFJKT5J9+1/NuVHh+QRcW/iRJI3BfEuMJGnCaMsxCJKk8aVkkbTx1IPgLEaSNGoGBElSzebFtoH9cTPFKTiLkSSNgQFBklSzfA/CuFkkDWDGvgzMTbFjE+zZ1dLmSFI7MCBIkmpWMs3peCox6poEM+cNPnagsiSNyIAgSarZvNwsRuOqxAgsM5KkUTIgSJJqNi+3DsK4KjECZzKSpFEyIEiSapYvMXp+PJUYgYulSdIoGRAkSTWZwm72ie0A7EnBZma1uEVlLDGSpFExIEiSajK3rLwojbdfLSUlRgYESRrJOPtXXJLUbkpWUR5vA5TBxdIkaZQMCJKkmszNzWC0gXE2/gAsMZKkUZpcrwtFRABvAn4feB3wQmABsB1YCzwA3AJ8L6X0dL3uK0lqrfmM8x6EknUQ7EGQpJHUHBAiYiZwNvBeslBQWLKSHWTBYAZwCHAo8A7g8xHxr8DfpZTuqvX+kqTWyq+BMC4DQkmJkT0IkjSSmkqMIuIM4BHgU2Q9BReT9SDsm1KamVI6MKU0nyyI/B7wHuDbwB8Ct0fEP0XEC2tpgySptUoWSbPESJLaXq09CP8HuAG4JKX080onpZQSsLLwc21E7AOcBnwUOB34eI3tkCS1yLxcidHG8diDUD6LUUoQUfl8SepwtQaEV6SU7hvti1JKW4AvRMRXgCU1tkGS1ELzSmYxGoc9CFOmw9TZsHMb9O+CHZthxr6tbpUkjVs1lRiNJRyUvX5HSmllLdeQJLXWPLYN7D/POOxBANdCkKRRqOs0pxHxqXpeT5I0/uV7EMZliREYECRpFOq9DsJHI+Lv63xNSdI4lg8Iz4/HEiNwsTRJGoV6B4SvAe+NiP8bEUOOb4iI4yLC6U0laQII+pmbKzHaOG5LjJzJSJKqVbeF0gBSSqdHxPPAh4A5EfGOlNIOgIhYBlwKvL2e95Qktc4+9DI5+gHYmmawkyktblEFLpYmSVWrdw8CKaVzgY+RrXWwIiKWRcSVwK+Bk4F7gZPqfV9JUvPNj3G+inKRJUaSVLW69iAUpZQ+FRGbgS8ADxaefgj4nymlbzfinpKk5ptLbhXl8bhIWlFJidGG1rVDktpA3QNCRARwKnBu8SngWeD4lJKFn5I0gbRND0LJLEb2IEjScOo9zenJZKVE1wCLycYcnFvYvzkiFtXzfpKk1poXuR6E8RwQLDGSpKrVuwfhO0A/2WxGH0spPQ0QEWuAa4E7I+L3U0qr63xfSVILzMuVGD3f4hKjJR+9seKxF8UabpuW7f/uqSd5XeHc1Ze+tRlNk6S2Uu9Byj8Ejk4pnVEMBwAppa8D/xF4AXBHRLy4zveVJLVAWyySRmnb8r0ekqS91TUgpJT+IKX0qwrHvg/8ATAbuK2e95UktUZJidF4XQMB2MJMdqZJAMyOHUxjZ4tbJEnjV92nOR1OSukO4PXArmbeV5LUGCUlRuN1FWUAomQRt/zsS5KkUjUFhIiYMdrXpJR+Cby2lmtIksaHdikxgtJB1PMtM5KkimrtQXg8Is6JiGmjeVFKaVVEvCwi/gU4r8Y2SJJaJF9i1OpByiPJ93Dkg40kqVStAWEF8Dng2Yj4+4g4YbgegYg4JCL+MiLuBu4DXgbcWmMbJEktkVjA5oFH69OcFrZlZM8z2L58uyVJpWqa5jSl9O6IuAL4FPDfCz97IuJBssXRNgLTgfnA4cACsoXTngPOBy5LKfXV0gZJUmvMZjvTIxtStj1NpZdRdSY3Xb4HYb49CJJUUU0BISI+AnwvpXRSRCwF/hx4E1nPwEvKTl9Htk7Ct4Fvp5QcqCxJbSz/ITsrL4rWNaYK63MBYYEBQZIqqnWhtE8DM4CPp5QeiYirgb8h6zU4gKznYDuwNqX0bI33kiSNI/MZ/JC9flzPYJTJlxjNt8RIkiqqdQzCLkpDxoPA36SUelNKj6SU7kkp/dJwIEkTz4IY/JD9/DgffwCWGElStWoNCM8AL889jjpcU5LUBkpKjNqhB8GAIElVqfXD/L8Cb42IGyPizwvPpRqvKUlqA/kSo/E+xSnAegwIklSNWscgnA8cDLwVeHPhuY9FxDvIpjG9D7gfeCCl1FPjvSRJ40j+Q/Z4n+IUSsugsmlO/T5LkoZS6zSnW4G3RcThwInAF4FNwFLgpcDpZP8Cp4h4hCws3Afcl1K6pZZ7S5JaKz8GoR0GKfcynd40jZnRx/TYxSx2tLpJkjQu1dqDAEBK6SHgoYj4InAl8Ang94Cjcz8vI1sL4U/JQsOketxbktQapSVG478HAbJxCDNjHWCZkSRVUpeAkPMnwDMppX7gN4WfrxUPRsQy4BhKBzZLktpQuw1ShmysxEFkAcHVlCVpaHUNCCml74xw/GHgYeDr9byvJKn5SscgtEdAKF0szYAgSUNxSlJJ0uj172EeWwcebqS7hY2pXn6gsiVGkjQ0A4IkafR6N9AV2SxAG9Nsdte9YrUx8tOx5sdQSJIGGRAkSaPXs3Zgt13GH4CLpUlSNQwIkqTR61k3sNsOi6QVOQZBkkZmQJAkjV7P+oHddhmgDKXTsVpiJElDa+uAEBEHRsTVEfFMRPRFxOqIuDwi5o7hWi+JiK9FxJOFa62NiNsi4t2NaLsktbV8D0IbrKJcZImRJI2sPUaVDSEiDgXuAhYB/wKsBF4JnAO8OSKOSyk9X+W1Tgf+N9AL/D9gNbAvcCTwFnJrOUiSKAkI69soIKw3IEjSiNo2IABXkYWDs1NKXyg+GRGfAz4EfBJ430gXiYhjycLBb4A3p5TWlB2fUs9GS9KE0KZjEPLTsc5jK/Tvga5JLWyRJI0/bVliFBGHACeRfdN/ZdnhC4Ee4NSImFXF5T4DTALeVR4OAFJKu2prrSRNQG06BmE3k9mYZgNk07T2bmhxiyRp/GnLgAC8sbBdkVLqzx9IKW0F7gRmAscOd5GIOBA4HvgF8NuIOCEizouIcyPixIho1z8fSWqskjEI7RMQoKwkKvc+JEmZdi0xOrywfbjC8UfIehiWATcPc53/kDv/FuANZcd/HRGnpJQeHalBEXFvhUPLR3qtJLWdkhKj9hmDAFlJ1FKezh4YECRpL+36DXnxt1GlSayLz+87wnUWFbb/GTgCOKVw7cOA64CXADdGxNSxN1WSJqBciVH79SDk2mtAkKS9tGsPwkiisE0jnDcpt/2LlNL/KzzeEhGnkYWGVwDvAL4+3IVSSscM2ZCsZ+HoahotSW1hZy/s3JbtpklsYWaLGzQ6zxsQJGlY7dqDUOwhqNSvvU/ZeZVsLGz7gO/nD6SUEtn0qZBNnypJAujN9R4wh8HvZNrD845BkKRhtWtAeKiwXVbh+NLCttIYhfLrbC0f7FxQDBAzRtE2SZrY2niAMpRNy2pAkKS9tGtAuLWwPal8pqGI6AaOA7YD94xwnV8B64EFEbHfEMePLGxXj72pkjTBbGvvgFA6BmF95RMlqUO1ZUBIKa0CVgBLgLPKDl8MzAK+llLqKT4ZEcsjomRGoZTSbuAfCg8/kw8bEfES4HRgN/CtOr8FSWpf+VWU22iRtCLHIEjS8Np5kPKZwF3AFRFxIvAg8CrgBLLSovPLzn+wsC0vlv0UcCLwbuAlEfFjYCHZwOTpwLnVTHMqSR0jHxBSe01xCmXTshoQJGkvbdmDAAO9CK8AriULBucChwJXAK9OKT1f5XV6yQLCxWSLq50F/DFZ+HhLSulzdW+8JLWzNp7iFMp7ECwxkqRy7dyDQErpSeCMKs+tOM1GISRcVPiRJA2nZJBy+/UgbGEmO9MkpsaebLrWnb0wtb2mapWkRmrbHgRJUouUrKLcfj0IEKVlRr32IkhSngFBkjQ6ubKc9W1YYgQOVJak4RgQJEmj0+YlRlA2uHqbAUGS8gwIkqTq9feXlORsoLuFjRk7F0uTpMoMCJKk6u3YBP27AdiSZtDH1BY3aGzWW2IkSRUZECRJ1WvzKU6LnOpUkiozIEiSqlcyg1F7jj+AsrET9iBIUgkDgiSpeiUDlNu4B8ExCJJUkQFBklS93Ifp9W06gxGUj0GwxEiS8gwIkqTq5QNCWy6SlrHESJIqMyBIkqo3QUqMSqZn7V2fTd8qSQIMCJKk0ZgAi6QB9DGVLWlG9qB/dzZ9qyQJMCBIkkYjP81pG5cYgVOdSlIlBgRJUvVKBim3eUDIT9Pas7Z1DZGkccaAIEmq3gQZgwDlPQgOVJakIgOCJKk6u3fCjs3ZfnSxidmtbU+NSqZptcRIkgYYECRJ1enNfYieuYDU5r9C1rtYmiQNqb3/dZckNU/+Q/Ssha1rR51YYiRJQzMgSJKqUxIQFrSuHXXiYmmSNDQDgiSpOvk6/dmLWteOOimZptUxCJI0wIAgSarOBCsxWm+JkSQNyYAgSarOttxaAROixMiAIElDMSBIkqqTL8OZAD0Im5gNUfg1uGNzNo2rJMmAIEmq0gQrMUp0wcxcT0iv4xAkCQwIkqRqTbCAAJS+j3wJlSR1MAOCJKk6JSVG7T8GASh9H85kJEmAAUGSVI2UJn4PggOVJQkwIEiSqtG3Ffb0ZftTZsLUWa1tT70YECRpLwYESdLIJtgqygNmGxAkqZwBQZI0spLxB+2/ivKAkh4ExyBIEhgQJEnVmIjjD8ASI0kaggFBkjSyiVpiZECQpL0YECRJI5tgqygPcJpTSdqLAUGSNLJOKTFKqXVtkaRxwoAgSRrZRA0IU2dl07ZCNo1r39bWtkeSxgEDgiRpZBN1DAKUlRk5DkGSDAiSpJFN1B4EcKCyJJUxIEiSRmZAkKSOYUCQJA1v907o3ZDtRxfMnN/a9tRbPiBsXdO6dkjSOGFAkCQNb9saoDC7z+z9YNLkljan7vY5YHB/67Ota4ckjRMGBEnS8LY8M7i/zwta145Gyb+n/HuVpA5lQJAkDW/L04P7EzIg5HoQ8u9VkjqUAUGSNLySHoQDKp/XruxBkKQSBgRJ0vA6rcTI1ZQldTgDgiRpePmym+4JGBCmzxlcTXlXL+zY1Nr2SFKLGRAkScOb6D0IEWW9CM5kJKmzGRAkScPLf2CeiAEBHIcgSTkGBElSZf17StcG6N6/dW1pJGcykqQBbR0QIuLAiLg6Ip6JiL6IWB0Rl0fE3Bqu+bqI2BMRKSI+Uc/2SlLb2bYW0p5sf+YCmDK9te1pFHsQJGlA2y6HGRGHAncBi4B/AVYCrwTOAd4cEcellJ4f5TW7ga8CvcDs+rZYksa3JR+9ca/nXhaP8i/Tsv3fbJvNHw1xzoRQEhDsQZDU2dq5B+EqsnBwdkrp5JTSR1NKbwQuAw4HPjmGa34emANcUr9mSlL7WhwbBvafTfNa2JIGKykxsgdBUmdry4AQEYcAJwGrgSvLDl8I9ACnRsSsUVzz7cAZwNmAvx0kCdg/FxDWTOiAkOtB2OosRpI6W1sGBOCNhe2KlFJ//kBKaStwJzATOLaai0XEIuArwA0ppevr2VBJameLOyUgdFtiJElF7ToG4fDC9uEKxx8h62FYBtxcxfW+TBaW3jfWBkXEvRUOLR/rNSWp1TomIMycD5Omwp6dsGMz9G2DaQ5Fk9SZ2rUHYU5hu7nC8eLz+450oYh4D/B24MyU0nN1aJskTRj5EqNnmcABoaurdApXy4wkdbB27UEYSRS2adiTIpYAlwPfTCn9cy03TCkdU+Ee9wJH13JtSWqVxUzsHoT8zE3/NHUGryp8bfbOz32Hu/qP3Ov81Ze+tVlNk6SWadcehGIPwZwKx/cpO6+Sq4HtwJn1aJQkTSypc0qMKH1/++eCkSR1mnYNCA8VtssqHF9a2FYao1B0NNlUqesKC6OliEjANYXj5xeeu6G25kpS+5nHVqbFbgA2p5n0MkEXSSvIT+OaD0aS1GnatcTo1sL2pIjoys9kVFjs7DiynoF7RrjO18hmOyq3FHgd8ABwL3B/zS2WpDZTMv4gzW9hS5pjjQFBkoA2DQgppVURsYJspqKzgC/kDl8MzAL+IaXUU3wyIpYXXrsyd52zh7p+RJxOFhBuTCl9rO5vQJLawOIYXIz+uTS3hS1pDgOCJGXaMiAUnAncBVwREScCDwKvAk4gKy06v+z8BwvbQJI0osWxcWB/Qq+iXFAyBsGAIKmDtesYBFJKq4BXANeSBYNzgUOBK4BXp5Ser/xqSdJISgYoT+QpTgscgyBJmXbuQSCl9CRwRpXnVt1zkFK6lix4SFLH6rQxCOvYl92pi8nRz4LYwjR20sfUVjdLkpqubXsQJEmNtZjBjtiJPsUpQD9drM2tr7koV2IlSZ3EgCBJGlJpD8LEDwhQNlAZA4KkzmRAkCQNobMWSSt61oHKkmRAkCTtbR96mRV9APSmaWwZcsmYiee5koHKznUhqTMZECRJe1m8V3lRZ8wQbQ+CJBkQJElD6MTyInCxNEkCA4IkaQidtgZCkT0IkmRAkCQNYX86bwYjgDUMrvdgD4KkTmVAkCTtpVNLjJ5Lcwf2F7KJSexpYWskqTUMCJKkvXTiGggAu5jMujQHgEmRWMimFrdIkprPgCBJ2kun9iAArMn1IjgOQVInMiBIkvayf24NgM4LCI5DkNTZDAiSpBIz2MGc6AWgL01mA90tblFzOZORpE5nQJAklVgcGwf2n0tzSR32q8K1ECR1us76V1+SNKKSVZRz0352imcNCJI6nAFBklRifzp3/AGULgxnQJDUiQwIkqQSizt0itOikjEIGBAkdR4DgiSpRH5gbn7hsE6R7zXZLzYQ9LewNZLUfAYESVKJ0h6EzhuDsINpbEqzAJgae5jP1ha3SJKay4AgSSrRyYukFZUOVH5+mDMlaeIxIEiSSnT6GAQoDUauhSCp0xgQJEkDprKLhbEFgN2pi3Xs2+IWtcazJeMQNg5zpiRNPAYESdKARbkPw2vZl/4O/TWxJjf2Yn9LjCR1mM78l1+SNKT8tJ6dOv4A4FnXQpDUwQwIkqQB+zv+ACgbg+BaCJI6jAFBkjQgP2PPcwYEwB4ESZ3HgCBJGrA4NwbBHoRM1quSWtcYSWoyA4IkaYBrIGS2MoNtaToAM2In+9DT4hZJUvMYECRJAxyDUBSuhSCpYxkQJEkDSnoQmD/MmRPfswYESR3KgCBJAmASe1jE4BiE59LcFram9RyoLKlTGRAkSQDsx0YmRTYYd13ah11MbnGLWiu/FsILYn0LWyJJzWVAkCQBcEjXswP7T6TFLWzJ+PC7tN/A/iHx7DBnStLEYkCQJAFwaDwzsL+q/wUtbMn4kP8zyP/ZSNJEZ0CQJAFwWDw9sP9oMiCsyv0ZHBJr6KK/ha2RpOYxIEiSgLIeBAMCW5jF2rQvANNiFwfGuha3SJKaw4AgSQLgsK7BgPBoOqCFLRk/Hs2VGeV7WCRpIjMgSJJg+yYWxSYA+tIUnkoLW9yg8SHfk+I4BEmdwoAgSYL1jwzsPpYW0++vB6C0J+UwA4KkDuFvAEkSrH94YNfxB4NKehC6DAiSOoMBQZIE6x8a2F3l+IMBe41BSKmFrZGk5jAgSJJKSoxcA2HQGuaxLU0HYN/o+f/t3XmUXWWZ7/Hvk6oEIRCGBGgu0CZhCIjgbaIoRMNgi7SoIC2ulha9tjTXkThLO+O1u3FAUFq93vbSqK2NA44tahxoAoRBkysIBAKEMAQICYEQQsaq5/6xd506VaRCpaads8/3s1atPZ59nuSsOnV+52Hq1+cAABitSURBVN3v+8JaZ1SWVH8GBEkSrOhtQXAOhGbR95arppYWSaorA4IktbvNG+CxpQB0Z7Ak96m2nu1M34CweOATJakmDAiS1O5WLYHsAmBZTmE9O1Rc0PaluR8CKwwIkurPgCBJ7c4RjLbKFgRJ7caAIEntrulbcfsfPF2fWaUNCJLagAFBktqdLQhbdV/uzeYs/1yuvh82rq22IEkaZS0dECJiv4i4JCIejIgNEbE0Ii6KiN0H+fiJEfG3EfGdiLg9ItZGxJqI+ENEvC8iJoz2v0GSKtc0Ms9d3c6B0N8mOrk39+7d0TQkrCTVUcsGhIg4AFgAvBm4EbgQWALMAa6LiMmDuMxLgH8HXg7cAlwM/AewL/B54MqIeNbIVy9J24nu7r5zINiCsEV9+yEYECTVW8sGBOArwF7AOZl5amaem5knUASFGcA/DuIaDwNvAPbJzNeW1zgbOBhYCBwDvGN0ypek7cATy2DTUwCsyp1ZxaSKC9o+9e2H4FwIkuqtJQNCREwHTgSWAl/ud/gTwFrgzIiYuLXrZOYfM/Pbmbmx3/41wAXl5nEjUbMkbZfsfzAofWaXtqOypJpryYAAnFAu52Zmd/OB8sP9tcBOwIuG8RybyuXmYVxDkrZvzQGh24AwkD7hybkQJNVcZ9UFDNGMcjnQu/SdFC0MBwO/HeJz/F25/OVgTo6IBQMcOmSIzy9Jo29l8xCndlAeSJ+AsOpu6NoMHa36J1SStq5VWxB2LZerBzjes3+3oVw8It4JnAT8EbhkKNeQpJawwluMBmMNO7E8yz8pXRvh8XurLUiSRlFdv/6Icpnb/MCI04CLKDow/3VmbnqGhxRPlDlzgOstAI7c1jokaUysdJK0wbqre1/27ni82Fi5GCYfUG1BkjRKWrUFoaeFYNcBjk/qd96gRMSpwGXAI8BxmblkaOVJUgtY9xisfaRY79iBZblntfVs5/r2Q3AkI0n11aoBoeed+eABjh9ULgfdkywiTge+DywHjs1M3/0l1VvzeP5TDqK7Zf8kjI27nAtBUpto1b8GV5bLEyOiz78hInYBZgHrgOsHc7GIOINigrQHKcKB7/yS6q/5W/ApBw18noD+k6X5HZKk+mrJgJCZdwNzgak8fSKz84CJwDczc23Pzog4JCKeNqJQRLwJ+BZwHzDb24oktY3m8fynzBj4PAFFH4SGlYsht7mbmyS1hFbupPx2YD7wpYh4KbAIeCFwPMWtRR/pd/6ictnTgZmIOJ5ilKJxFK0Sb46Ifg/j8cy8aMSrl6Sq9QkItiA8k+XsDhN2gY1rYP1qePIR2GXvqsuSpBHXsgEhM++OiOcDn6IYkvQVwEPAl4DzMnPVIC7zbHpbUf5ugHPupRjVSJLqpTkg7DmDoiFVA4siSD24sNhcudiAIKmWWvIWox6ZeX9mvjkz98nMCZn57Mycs6VwkJmRmdFv36U9+7fyM3XM/kGSNFY2rYfHlpYbAZMPrLKa1jGlaWwM+yFIqqmWDgiSpCFatQSyu1jf7c9h/I7V1tMq9mwOCI5nIameDAiS1I6av/2eMtCI0Xqa5v8r50KQVFMGBElqR83ffu/pCEaD1jzaky0IkmrKgCBJ7cg5EIZmj2kwrhzf44kHYMOT1dYjSaPAgCBJ7cg5EIamYzzsMb13+1FbESTVjwFBktpNd3ff22Psg7Bt+vRDWDzweZLUogwIktRunngANq8r1neaDBMnV1tPq+kz1KkBQVL9GBAkqd08/KfedVsPtl3z/1nz/6Uk1YQBQZLazT3zetf3e0F1dbSq/Y/qXb93PnRtrq4WSRoFBgRJajdLrupdn35sdXW0qj2mw6T9ivWNa+DBhdXWI0kjzIAgSe1kzXJYsahYHzce/vzoautpRRF9g1Vz4JKkGjAgSFI7ab69aP+jYMLE6mppZdOaAsI9BgRJ9WJAkKR2cs9/9a5P8/aiIZs2u3f9/htg41PV1SJJI8yAIEntIhOWNLUg2P9g6Cbt0zvBXNdGuP/6auuRpBHUWXUBkqQx8tg9sPq+Yn3CzrDvzGrraUFTz/15Y/2Tnc/mf3TeAcBX/+0SPtMzt0STpeefPGa1SdJIsQVBktpFc2faZx8DHeOrq6UG5ncf1lg/ZtytFVYiSSPLgCBJ7aK5M639D4bt+u7n0JUBwOFxD5N4suKKJGlkGBAkqR10d/cdwcj+B8P2BBP5U04DYFwkR49bVHFFkjQyDAiS1A4euRWeerRY32ky7HXY1s/XoMzvfm5j/Zhxt1RYiSSNHAOCJLWD5v4H02bDON/+R8K1Tf0QZtkPQVJN+BdCktqB/Q9GxR+6Z7Ahi87eB457kL1ZVXFFkjR8BgRJqruuTXDv/N5t+x+MmA1MYEH3QY1tRzOSVAcGBEmqu2ULYGM5ws6ufw67T6u2npq5tqkfwqwOA4Kk1mdAkKS6a+5/MH02RFRXSw31nQ/hFiCrK0aSRoABQZLqrk//g+MqK6Oubs7pPJE7AvDfYhXT4uGKK5Kk4TEgSFKdbVwL99/Yuz1tdnW11FQXHdzQfWhje5bDnUpqcQYESaqz+66D7k3F+p6Hwi57V1tPTfW9zch+CJJamwFBkurM2ZPHRHNH5aPH3UbQXWE1kjQ8BgRJqrMlzn8wFhbnfqzIXQHYPZ7kOXFvxRVJ0tAZECSprp5aBQ/dVKzHOJg6q9p6ai363GZkPwRJrayz6gIkSaPjXZ++gIsnFENu/r+u6bzmk9dUXFG9Xdt9GKd0FBPSHT/uJv5P16sqrkiShsYWBEmqo0zO7vzPxuZV3UdUWEx7uLrrCLqzmGPi6I7bODyWVFyRJA2NAUGS6ujOX3P4uKUArM/xfHvzX1ZbTxt4iMn8vPuFje13df6owmokaegMCJJUN5lw1Wcam9/peikr2K3CgtrHxZtf01g/sWMBPPynCquRpKExIEhS3Sy5Epb9AYAN2cnXNr+y4oLax+Lcn190vaB3x7zPVVeMJA2RAUGS6uaq3g+l3+s6juXsUWEx7edfmloRuO2n8Mjt1RUjSUNgQJCkOll6DdxXjKSzMTv46uZXV1xQ+7k1p/Kbrr8otxKu/nyl9UjStjIgSFKdXPXZxurlXbN5kCkVFtO+mvsicMvlsPKu6oqRpG1kQJCkurjvBrinnDk5OvhKl60HVbkpD2Re1+HFRnbD1RdUW5AkbQMDgiTVxbze1gOOeB33597V1SK+uPm03o2bvwur7qmuGEnaBgYESaqDZQvgrt8U6zEOXvK+ausRC3IGTH1JsZFdcM2F1RYkSYNkQJCkOpjX1BH2sNNgykHV1aJex36wd/2P34HH76+uFkkaJAOCJLW6ZQvhjit6t2e/v7pa1NfUl8D+LyrWuzc5L4KkltBZdQGSpGFYfht853W924e+GvY6tLp61MfUf7iC2eOO5ZsTri92LPwGn7thHV/uOnWL5y89/+QxrE6StswWBElqVQ/dDJeeDGtXFNvjJ8IJH622Jj3NvO4j+K+u5zW2PzD+e7yn8wdAVleUJG2FAUGSWtGyhfCNV8G6VcX2DpPgzB/BnjOqrUtbELxt0xyu6TqssWdO5w/5UOdlGBIkbY+8xUiSWsDUc3/eWD8yFnPphM8wKdYBsDp34swnPsDNX1kJ/HyAK6hK63gWb9n0Ab7GhRzXcRMAb+v8GePZzKc3vwGIaguUpCa2IEhSCzkqFvHNCec3wsGq3JkzNn6Um/OAiivTM9nABM7e9F5+3TWzse+szl9wXuelBN0VViZJfbV0QIiI/SLikoh4MCI2RMTSiLgoInbfxuvsUT5uaXmdB8vr7jdatUvStpjMat7e8RMunfBZdo71AKzISbx+40e5NadWW5wGbSPjefumOVzRdVRj35s6f83Xxl/IkbEY0luOJFWvZW8xiogDgPnAXsBPgNuBo4A5wEkRMSszHx3EdSaX1zkY+B1wGXAI8Gbg5Ig4OjOXjM6/QpK2IhPuvwF+/3Wu2+GHTIiuxqHluRtnbPwId+e+FRaoodhEJ+/a9C428VVO6ZgPwIkdCzixYwF87XJ4wVlw+OkwYWLFlUpqVy0bEICvUISDczLz4p6dEfEF4D3APwJvHcR1/okiHFyYme9tus45wBfL5zlpBOuWpIFtWg+r7ob7roM//BssvwWACU23qN/XvSdv3HQuS3OfiorUcHXRwXs2vZ21uQNndF7Ze+DhP8HP5sDcj8HzXg/POaXoeL7TZAj7KUgaG5Et2JwZEdOBu4GlwAGZ2d10bBfgIYoeX3tl5tqtXGcisALoBvbJzDVNx8aVzzG1fI4htSJExIIjjzzyyAULFgzl4ZJaXXc3dG+Grg2w4UnYsKb42Vgun3oUVt5Z/twBj93LQCPbLOg+iG9tfhm/6D6KDUwY23+HRs1zYwlv6PgNp3TMZ8fYuOWTdtwdpswoZsiecjDsum8xctUOu8CEnYvlDrvA+J1gXCeM6zBQSG1o5syZLFy4cGFmznzmswfWqi0IJ5TLuc3hACAz10TEtcCJwIuA327lOkcDO5bXWdN8IDO7I2IucDZwPNBatxn9bA7c8cuqq5BaxABflPT5AiWffiy7i/2Z5ZJiX/fm3p/hDmM5fic4/HROvm6GfQ1q6paczrmbz+afNp/Bzac8Cr//etGK1GzdY3D/9cXPYEVHGRaaA0MMsGw8qGl1oIBh8JAG7Z03wrN2rbqKbdaqAaFnoO/FAxy/kyIgHMzWA8JgrkN5na2KiIGaCJ63aNEiZs4cVpDbdo8thfWPj+1zShoZHTtA5w7FN8I77gE/vJZbll1RdVUaZQ8BM3+9KxCwYe8iFGxeX/ykoxxJLenbxxYBfYwsWrQIirtfhqVVA0JPFFs9wPGe/buN0XW2pmvdunWrFy5cuHQY1xiqQ8rl7RU8t8aOr3PtrCt/HgfuB1/jdnHIwuWAr3Pd+fvcHorX+aGbxvp1ngo8MdyLtGpAeCY97Z/D7WAx6OsM916v0dDTqrE91qaR4+tcf77G7cHXuT34OreHVn+dW3UehJ5v9ge6qWtSv/NG+zqSJElSLbRqQLijXA7UN+CgcjlQ34KRvo4kSZJUC60aEHoGjT6xHI60oRzmdBbFDbzPNNzD9eV5s8rHNV9nHEVH5+bnkyRJkmqtJQNCZt4NzKXoiPGOfofPAyYC32yeAyEiDomIQ5pPzMwngW+V53+y33XeWV7/V86kLEmSpHbRyp2U3w7MB74UES8FFgEvpJizYDHwkX7nLyqX/Qdw/jBwHPDeiPjvwI3AocApwCM8PYBIkiRJtdWSMyn3iIj9gU8BJwGTKYaR/jFwXmau6nduAmTm02Z4iYg9gE8ApwL7AI8CvwA+npkPjOa/QZIkSdqetHRAkCRJkjSyWrIPgiRJkqTRYUCQJEmS1GBAkCRJktRgQJAkSZLUYECQJEmS1GBAkCRJktRgQKihiNgvIi6JiAcjYkNELI2IiyJi96pr0/BFxOSIOCsifhQRd0XEuohYHRHXRMRbIsLf65qKiDMjIsufs6quRyMnIl4SEZdHxEPl+/ZDETE3Il5RdW0aGRFxcvmaPlC+by+JiO9HxNFV16bBi4jXRsTFEXF1RDxRvh//+zM85piIuCIiVkXEUxFxc0S8OyI6xqrubdXKMylrCyLiAIoZpvcCfgLcDhwFzAFOiohZmflohSVq+E4HvkoxMeCVwH3A3sBpwNeBv4qI09NJTmqlnBjyYuBJYOeKy9EIioiPAv8LWAn8J8Xv9hTgL4DjgCsqK04jIiI+A3yQYiLWH1O81gcCpwB/HRFvzMytfsjUduOjwPMo3osfAA7Z2skRcQpwObAe+C6wCngVcCEwi+Jv+nbHidJqJiJ+BZwInJOZFzft/wLwHuBrmfnWqurT8EXECcBE4OeZ2d20/8+AG4H9gddm5uUVlagRFhEB/BqYBvwQeD/w95n59UoL07BFxOnA94DfAKdl5pp+x8dn5qZKitOIKN+blwErgCMy85GmY8cDvwPuyczpFZWobVC+Zg8AdwHHUnxR9+3MfMMWzp1UnrcrMCsz/1DufxbF63408PrMvGyMyh80b0WokYiYThEOlgJf7nf4E8Ba4MyImDjGpWkEZebvMvNnzeGg3P8w8L/LzePGvDCNpnOAE4A3U/weqwbK2wE/AzwFnNE/HAAYDmrh2RSft25oDgcAmXklsAbYs4rCtO0y88rMvHOQrfSvpXhtL+sJB+U11lO0RAC8bRTKHDYDQr2cUC7nbuHD4xrgWmAn4EVjXZjGTM+Hic2VVqERExGHAucDX8zMeVXXoxF1DEWr0BXAY+U96h+KiDnel14rdwIbgaMiYkrzgYiYDexC0YKk+un5XPbLLRybR/HlwDERscPYlTQ49kGolxnlcvEAx++kaGE4GPjtmFSkMRMRncAby80tvRmpxZSv6bco+pl8uOJyNPJeUC6XAwuBw5sPRsQ8itsFV4x1YRo5mbkqIj4EfAG4LSJ+TNEX4QDg1RS3D/7PCkvU6Bnwc1lmbo6Ie4DDgOnAorEs7JkYEOpl13K5eoDjPft3G4NaNPbOB54LXJGZv6q6GI2Ij1N0VH1xZq6ruhiNuL3K5VuBe4C/BG6guCXlAuDlwPfxlsGWl5kXRcRS4BLg75sO3QVc2v/WI9VGy34u8xaj9hLl0p7pNRMR5wDvoxi16syKy9EIiIijKFoNLsjM66quR6OiZ4jDoGgp+G1mPpmZtwKvoegIeay3G7W+iPgg8APgUoqWg4nATGAJ8O2I+Gx11alC2+3nMgNCvfQk0V0HOD6p33mqgYh4B/BF4Dbg+MxcVXFJGqamW4sWAx+ruByNnsfK5ZLMvKn5QNli1NMSeNSYVqURFRHHUXRG/2lmvjczl2TmU5m5kCIILgPeVw40onpp2c9lBoR6uaNcHjzA8YPK5UB9FNRiIuLdwL8At1CEg4crLkkjY2eK3+NDgfVNk6MlxYhkAP9a7ruosio1XD3v2Y8PcLwnQOw4BrVo9LyyXF7Z/0BmPkUxPPU4itsJVS8Dfi4rvwiaRjGoyJKxLGow7INQLz1vPidGxLh+Y+TvQjEhxzrg+iqK08gqO72dD/wReFlmrqy4JI2cDcD/HeDYkRQfJK6h+OPj7Uetax7Fh4ODImJCZm7sd/y55XLpmFalkdYzQs1AQ5n27O//+qv1/Q74W+Ak4D/6HZtNMbLkvMzcMNaFPRNbEGokM+8G5gJTgXf0O3wexT2P38xMx1FvcRHxMYpwsAB4qeGgXjJzXWaetaUf4Kflad8o9323ylo1dOXv7Xcpbj/4ePOxiHgZRSfl1TgqWau7ulyeHRH7Nh+IiL+i+PJuPTB/rAvTqPsBxazZfxMRz+/ZWU6U9uly86tVFPZMnEm5ZiLiAIo3mb2An1AMm/VC4HiKW4uOycxHq6tQwxURb6Lo6NYFXMyW711cmpmXjmFZGiMR8UmK24ycSbkGImIvijlqDqT4IHkjxShGr6HouHhGZn6/ugo1XOWEeL+iGKVqDfAj4GGKWwhfSdFR9d2Z+cXKitSgRcSpwKnl5p9RBPkl9AbBlZn5/n7n/4AiBF4GrKIY3nZGuf91g5x0bUwZEGooIvYHPkXRpDUZeAj4MXCeHVhbX9MHxK25KjOPG/1qNNYMCPUTEXtQzKr6GmBfig+R1wD/nJneEloDETGeomX/b4DnUNxasooiEH4pM+dWWJ62wSD+Bt+bmVP7PWYW8BHgaOBZFMPbXkLx2neNTqXDY0CQJEmS1GAfBEmSJEkNBgRJkiRJDQYESZIkSQ0GBEmSJEkNBgRJkiRJDQYESZIkSQ0GBEmSJEkNBgRJkiRJDQYESZIkSQ0GBEmSJEkNBgRJkiRJDQYESZIkSQ0GBEmSJEkNBgRJkiRJDQYESZIkSQ0GBEnSdiEi5kZERsRp/fZHRFxaHju/qvokqV1EZlZdgyRJRMTzgIXAHcDhmdlV7r8AeC/wr5l5doUlSlJbsAVBkrRdyMybgG8BhwJnAkTEhynCwfeAt1ZXnSS1D1sQJEnbjYjYD7gTWA58HrgY+BXw6szcWGVtktQuDAiSpO1KRPwzcG65OR94WWY+VWFJktRWvMVIkrS9WdG0/hbDgSSNLQOCJGm7ERGvp7i16OFy15wKy5GktmRAkCRtFyLiFcA3gFuBI4DbgbMi4pBKC5OkNmNAkCRVLiJeDPwAeAA4MTNXAB8DOgHnPpCkMWQnZUlSpcr5D64C1gEvzsy7m479Hng+MDszr66oRElqK7YgSJIqExEHUgxjmsDLm8NB6R/K5efGtDBJamO2IEiSJElqsAVBkiRJUoMBQZIkSVKDAUGSJElSgwFBkiRJUoMBQZIkSVKDAUGSJElSgwFBkiRJUoMBQZIkSVKDAUGSJElSgwFBkiRJUoMBQZIkSVKDAUGSJElSgwFBkiRJUoMBQZIkSVKDAUGSJElSgwFBkiRJUoMBQZIkSVLD/wcqV8SKn6U3CQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112d95fd0>"
]
},
"metadata": {
"image/png": {
"height": 278,
"width": 388
}
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a213bcc88>"
]
},
"metadata": {
"image/png": {
"height": 278,
"width": 388
}
},
"output_type": "display_data"
}
],
"source": [
"# Code here\n",
"for n in [5, 10, 30, 50, 200]:\n",
" # 1000 выборок обьема n\n",
" samples = np.array([rv.rvs(size=n) for i in range(1000)])\n",
" # вычисляем выборочные средние из полученных 1000 выборок\n",
" means = samples.mean(axis=1)\n",
" \n",
" plt.hist(means, normed=True)\n",
" plt.title('Means of $X_{%s}$' % n)\n",
" \n",
" # зададим нормально распределенную случайную величину\n",
" norm_rv = sts.norm(loc=mu, scale=np.sqrt(mu / n))\n",
" \n",
" x = np.linspace(0,10,100)\n",
" pdf = norm_rv.pdf(x)\n",
" plt.plot(x, pdf, label=\"$\\mu=%s,\\sigma^2=%s$\" % (mu, round(mu / n, 2)))\n",
" plt.legend()\n",
" \n",
" plt.ylabel('$f(x)$')\n",
" plt.xlabel('$x$')\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Заключение"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"В результате мы наглядно видим что точность аппроксимации распределения выборочных средних нормальным растет с ростом размера выборки $n$. Уже при $n>=30$ мы видим достаточно хорошую апроксимацию."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Проверяющим\n",
"\n",
"Спасибо что проверили и оценили мою работу!"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.4"
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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