{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ " \n", "\n", "\n", "#
R для тервера и матстата.

3.3 Резкое погружение в финансовый мир.
\n", "\n", "Данный ноутбук является конспектом по курсу «R для теории вероятностей и математической статистики» (РАНХиГС, 2017-2018). Автор ноутбука [вот этот парень по имени Филипп.](https://vk.com/ppilif) Если у вас для него есть деньги, слава или женщины, он от этого всего не откажется. Ноутбук распространяется на условиях лицензии [Creative Commons Attribution-Share Alike 4.0.](https://creativecommons.org/licenses/by-sa/4.0/) При использовании обязательно упоминание автора курса и аффилиации. При наличии технической возможности необходимо также указать активную гиперссылку на [страницу курса.](https://fulyankin.github.io/R_probability/) На ней можно найти другие материалы. Фрагменты кода, включенные в этот notebook, публикуются как [общественное достояние.](https://creativecommons.org/publicdomain/zero/1.0/)\n", "\n", "---------\n", "\n", "В этой тетрадке мы по резкому погрузимся в финансовый мир. Джордан Белфорт уже подготовил для нас батискаф. Этот блокнот будет очень серьёзным. В течение него мы проверим несколько гипотез. Они будут довольно специфичными. Вы пока ещё не очень хорошо разбираетесь в том, что такое проверка гипотез. Мы с вами посвятим этому через одну пару довольно много времени и постараемся разобраться что к чему. В этой тетрадке вам придётся просто верить мне на слово. В самом конце этого блокнота начнётся полный трэш. Я реалист и прекрасно понимаю, что там будет много вещей вам на вырост. Просто мне хотелось показать какие серьёзные вещи можно мутить в R и я их покажу. \n", "\n", "Перед тем как подняться на борт батискафа, подгрузим парочку пакетов. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "library(\"ggplot2\") # Пакет для красивых графиков \n", "library(\"grid\") # Пакет для субплотов\n", "\n", "# Отрегулируем размер картинок, которые будут выдаваться в нашей тетрадке\n", "library('repr')\n", "options(repr.plot.width=4, repr.plot.height=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "В финансах есть много разных инструментов: акции, облигации, деривативы и т.п. В основе огромного бесчисленного числа современных экономических теорий лежит гипотеза о том, что движение котировок подчиняется логнормальному распределению. То есть доходности распределены нормально. На всём этом строится пресловутый Блэк-Шоулз с их Нобелевской премией. В реальности всё гораздо сложнее и нам предстоит в этом убедиться. Чтобы не быть голословным, будем изучать все на каких-нибудь примерах. Возьмем котировки компании Tesla Motors за 2015 год.\n", "\n", "\n", "## 1. Добыча финансовых данных\n", "\n", "Для того, чтобы погрузиться в мир финансов, нам нужно раздобыть финансовых данных. В R для всего есть пакеты, верно? Воспользуемся пакетом `quantmod`, чтобы достать данных с Yahoo.Finance. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# install.packages(\"quantmod\") # Устанавливаем пакет, если его нет \n", "# Внимание: устанавливать пакет надо один раз в жизни! \n", "# После установки пакета можно эту строчку удалить навсегода. \n", "\n", "library(\"quantmod\") # Эта команда подключает пакет\n", "# Внимание: подключать пакет нужно каждый раз, когда\n", "# вы хотите использовать его в своём скрипте" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Получаем данные о котировках apple с сайта Yahoo. Команда `getSymbols` умеет делать это." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "'TSLA'" ], "text/latex": [ "'TSLA'" ], "text/markdown": [ "'TSLA'" ], "text/plain": [ "[1] \"TSLA\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "getSymbols(\"TSLA\", from=\"2015-01-01\", to=\"2016-01-01\")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " TSLA.Open TSLA.High TSLA.Low TSLA.Close TSLA.Volume TSLA.Adjusted\n", "2015-01-02 222.87 223.25 213.26 219.31 4764400 219.31\n", "2015-01-05 214.55 216.50 207.16 210.09 5368500 210.09\n", "2015-01-06 210.06 214.20 204.21 211.28 6261900 211.28\n", "2015-01-07 213.35 214.78 209.78 210.95 2968400 210.95\n", "2015-01-08 212.81 213.80 210.01 210.62 3442500 210.62\n", "2015-01-09 208.92 209.98 204.96 206.66 4591300 206.66" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df <- TSLA # Данные по акциям в таблицу df! \n", "head(df) # Все данные дневные" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " open high low close volume adjusted time\n", "2015-01-02 222.87 223.25 213.26 219.31 4764400 219.31 1\n", "2015-01-05 214.55 216.50 207.16 210.09 5368500 210.09 2\n", "2015-01-06 210.06 214.20 204.21 211.28 6261900 211.28 3\n", "2015-01-07 213.35 214.78 209.78 210.95 2968400 210.95 4\n", "2015-01-08 212.81 213.80 210.01 210.62 3442500 210.62 5\n", "2015-01-09 208.92 209.98 204.96 206.66 4591300 206.66 6" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# зададим столбцам свои имена \n", "colnames(df) <- c('open', 'high', 'low', 'close', 'volume', 'adjusted')\n", "\n", "df$time = 1:nrow(df) # Колонка под время для удобства\n", "head(df)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 252\n", "\\item 7\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 252\n", "2. 7\n", "\n", "\n" ], "text/plain": [ "[1] 252 7" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dim(df) # размеры таблички" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Как видите, цены бывают разными. Открытия, закрытия, самая высокая и низкая. Давайте посмотрим на них на одной красивой картинке. По полю `colour` R будет создавать для графика легенду. Самая последняя строка отобразит эту лененду на картинке. Опция `alpha` задаёт прозрачность линий. Попробуйте поменять её ради фана. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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7RzFbqbmk46fvEAFxkGbbG4qwI4vzgPsAihiukB3ILj3mrI8aYpAdztYvi1zYJh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iKTRgAYNFk/KuEh0VK00TFXqz6B5ddtll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\noeWDsBu9Ku3n9u0fQ2dgM9lO3NZQgcGIlWXM0phzgqkQIwfVL2bUA1KZ5+t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S3tMVfC/wPjpB5msWf1LHlXzc2ZYEQarythpq1KElYuFh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\n97mTJtY0MO5S66PStYvKmcQDf5uxwCkqwbf6mQ1YAk9VF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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=8, repr.plot.height=3) # размер картинки (нужен только для тетрадки)\n", "\n", "ggplot(df) +\n", " geom_line(aes(x = time, y = open, colour = 'open price'), alpha = 0.7) +\n", " geom_line(aes(x = time, y = close, colour = 'close price'), alpha = 0.7) +\n", " geom_line(aes(x = time, y = high, colour = 'high price'), alpha = 0.7) +\n", " geom_line(aes(x = time, y = low, colour = 'low price'), alpha = 0.7) +\n", " scale_linetype_manual()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Забираем себе в долговременное пользование цены закрытия акций. Будем рисёрчить именно их. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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  9. 212.809998
  10. \n", "
\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 222.869995\n", "\\item 214.550003\n", "\\item 210.059998\n", "\\item 213.350006\n", "\\item 212.809998\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 222.869995\n", "2. 214.550003\n", "3. 210.059998\n", "4. 213.350006\n", "5. 212.809998\n", "\n", "\n" ], "text/plain": [ "[1] 222.87 214.55 210.06 213.35 212.81" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "price <- as.numeric(df$open)\n", "price[1:5]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Глянем на гистограмму для цен." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=3) # размер картинки\n", "qplot(price, bins=80) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Финансовые продукты характеризуются двумя основными характеристикам – доходностью и риском. С доходностью все довольно понятно – это процентное изменение стоимости за некоторый промежуток времени. Как найти годовую доходность? Это просто процентное изменение последней точки к первой:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "0.0701754401708494" ], "text/latex": [ "0.0701754401708494" ], "text/markdown": [ "0.0701754401708494" ], "text/plain": [ "[1] 0.07017544" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tail(price, 1)/head(price, 1) - 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Это много или мало? Почему?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Обычно экономические финансисты работают с доходностями. Для этого есть несколько причин. Часть из них теоретическая, часть практическая. Не будем разбираться в них. Просто перейдём от цен к доходностям, то есть к изменению цен:\n", "\n", "$$\n", "R_t = \\frac{P_t - P_{t-1}}{P_{t-1}}\n", "$$\n", "\n", "Команда `diff` вернёт нам вектор из приращений в каждой точке. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
    \n", "\t
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\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item -8.31999199999998\n", "\\item -4.490005\n", "\\item 3.290008\n", "\\item -0.540008\n", "\\item -3.89000000000001\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. -8.31999199999998\n", "2. -4.490005\n", "3. 3.290008\n", "4. -0.540008\n", "5. -3.89000000000001\n", "\n", "\n" ], "text/plain": [ "[1] -8.319992 -4.490005 3.290008 -0.540008 -3.890000" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "diff(price)[1:5]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Хотелось бы теперь просто разделить его на значения цен, но нельзя - они разной длины. Поэтому придётся выбросить первый элемент из вектора цен. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
    \n", "\t
  1. -0.037331144553577
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  3. -0.0209275457339425
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\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item -0.037331144553577\n", "\\item -0.0209275457339425\n", "\\item 0.0156622299882151\n", "\\item -0.00253108968743127\n", "\\item -0.0182792163740353\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. -0.037331144553577\n", "2. -0.0209275457339425\n", "3. 0.0156622299882151\n", "4. -0.00253108968743127\n", "5. -0.0182792163740353\n", "\n", "\n" ], "text/plain": [ "[1] -0.03733114 -0.02092755 0.01566223 -0.00253109 -0.01827922" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R <- diff(price)/price[-length(price)]\n", "R[1:5]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Посмотрим на распределение доходностей. Как это не странно, оно оказывается куполообразным. Издали распределение напоминает собой нормальное. Однако это ещё не факт. " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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AmQgN2EGI4AAggggIAPAiRgH1CpEgEE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\nErFhHASSFUh2HXSbTj8nbuMkG3Oi0+k2U7cbpuNIpUWybdHtt3b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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=3) \n", "qplot(R, bins=80) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Посмотрим на то как ряд из доходностей ведёт себя во времени." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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mNa3g9HQNy8Di+ROZoQSPyaUBkcJ2Zc\nvR9cYmlTuy50pAPcYZyuvPLKDrkWJwsrMBtvvHGForviiisWp9JlVsuGG26Y2I05pqxCr7vu\nutVVV11V/elPfxqTysotBnbs0OTcHY8HNtpoo3oVP/EbDz92Qa6++uqcu2PAx7xl9+Oaa67p\n1fyNc+Hyyy+vd1nH6N7Ui2A4p+wbH2Z0B6cQsEe7Gvjj17Y8S4Jbn+z5WUEZu2+W/A78pC4h\nnwHuglLmSQQSgUQgEUgEEoFEoGcI+AwwzcpFyZ4NTjYnEUgEeotAOsC9HZpsWCKQCCQCiUAi\nkAgkAu0IpAPcjk2mJAKJQCLQhkA6wG3IZHwikAgkAolAIpAIJAI9RiA+A5w7wD0eqGxaIpAI\n9AqBdIB7NRzZmEQgEUgEEoFEIBFIBLohEHeAeTdIhkQgEUgEEoHhCKQDPByjzJEIJAKJQCKQ\nCCQCiUDvEIgOMC/oypAIJAKJQCIwHIF0gIdjlDkSgUQgEUgEEoFEIBHoHQLRAc4j0L0bnmxQ\nIpAI9BSBdIB7OjDZrEQgEUgEEoFEIBFIBAYhkM8AD0In0xKBRCARaEYgHeBmXDI2EUgEEoFE\nIBFIBBKBXiOQO8C9Hp5sXCKQCPQUgXSAezow2axEIBFIBBKBRCARSAQGIRAd4HwGeBBSmZYI\nJAKJwI0IpAN8IxZ5lwgkAolAIpAIJAKJwMwgEI9A51ugZ2bYsqGJQCKwxAikA7zEA5DVJwKJ\nQCKQCCQCiUAiMA4CuQM8DmpZJhFIBFY6AukAr3QOyP4nAolAIpAIJAKJwEwiEB3g3AGeySHM\nRicCicASIJAO8BKAnlUmAolAIpAIJAKJQCKwUATiEej8DNJC0czyiUAisFIQSAd4pYx09jMR\nSAQSgUQgEUgElhUCcQc4X4K1rIY2O5MIJAJTRCAd4CmCm6QTgUQgEUgEEoFEIBGYFgLRAc4j\n0NNCOekmAonAckMgHeDlNqLZn0QgEUgEEoFEIBFYEQhEBzh3gFfEkGcnE4FEYAIIpAM8ARCT\nRCKQCCQCiUAikAgkAouNQD4DvNiIZ32JQCKwHBDorQP8+9//vvrIRz5Svfe9761++tOfdsb6\n5z//eV2mLMAq6Ve/+tXqlFNOqb785S+Xyfk7EUgEEoFEIBFIBBKBmUIg7gDnS7BmauiysYlA\nIrCECPTSAb7ooouqRz7ykdUZZ5xRffvb367222+/6gtf+MJQmP7whz9UhxxySPXRj350Xl4U\nxAEHHFC99KUvrXCQDz/88Oroo4+elyd/JAKJQCKQCCQCiUAiMEsIpAM8S6OVbU0EEoG+ILB2\nXxoS23HEEUdUe+21V/Wc5zynWmONNaqTTz65OuaYY6pTTz21/h3zev/FL36xOuqoo6rLL7+8\n2nrrrY2ur6effnqFc3zaaadVG264YfWTn/yk2nfffas99tijutOd7jQvb/5IBBKBRCARSAQS\ngURgFhDII9CzMErZxkQgEegbAr3bAf7Nb35Tfe9736t3gHF+CY94xCOqiy++uPrud7/biB/H\npQ877LBq9913r574xCeulue8886rdtlll9r5JfH2t799dZe73KU655xzVsubEYlAIpAIJAKJ\nQCKQCMwCArkDPAujlG1MBBKBviHQux3gX/7ylzVGt7rVreawutnNblats8461SWXXFJtv/32\nc/HerL/++hW7vOR75zvfafTc9Re/+EUV6ZHAb+iV4WMf+1j12c9+dl7085///Lr+eZFL9MNF\nAfDYZJNNlqgVs10tGCZ2443hTW5yk7rgRhttVMWdh/GorbxSa665ZrX22msn/4059MxdMMz5\nOx6A8F7O3fGwW2utteqC6623Xj2Hx6My+VLKZCj3XbeBYc7d8XiAuUu46U1vOh6BFV5K/OJ8\nWeGQdO6+fgfYzcL87Wqb9s4Bxlldd9116784OhtvvHF12WWXxai5exgb57cp8F28X//616sJ\nDYTIBRdcsFqRb33rW6u9RIvd5Q022GC1vEsZQZ+d0EvZjlmtu2/jOWs4YgRmGB+BnLvjY4cy\nzvk7Pn7Je+NjR0kWn/nrS9Axtz19nxt9b5849vWa+C1sZPo0dxfWk8UvPSt+R9fPwfXOAWaF\noelj7hzzGWfioxzYMShp8pvngcvwtKc9rX7+OMZzxPqKK66IUUt2T19w9q+++uqKdmUYHYHN\nNtusuvTSS0cvmCXqOcM85Fn7fOPo6Ayh8cw7CTKMjgCyj9XdtsXQ0SmurBIs/F555ZWr6cOV\nhcJ4vWXusvvB3L3qqqvGIzKFUr/73e/mqP72t7+tfvWrX8397tONu9PojgyjIwDvwYNs6Fx3\n3XWjE1jhJTgpCm7YzhlGQ2DW/A5kzeabbz60k71zgGk0zi5KOjq8CPlb3vKWQztUZgAIHJ7S\nWYTeLW5xizJ77VyWu8nsSnfdUl+N4IQjXO2lPaVTP+GqljW5xG684XUegF9iODqGzF+UcGI3\nOnaxROIX0eh+D++hXxO/7piZ053zvuneuBD5xz/+sbdjiy1GSN6To0a76vSCn/ejUVjZuZm3\nqXvH4wEcYMKs4KefNKy3vXsJ1m1uc5v6aO93vvOdubbzUiyYt3yOdy7DkJttttmmivTIzgu1\nbn3rWw8pmcmJQCKQCCQCiUAikAj0E4H4Eqx0Lvs5RtmqRCAR6B8CvXOAOeax6667VieddFJ9\n1IjjCieccEL1sIc9rNpiiy1qBPmM0bvf/e7VdnXb4N17772rj3/847XTywrGmWeeWXFG/OEP\nf3hbkYxPBBKBRCARSAQSgUSg1wh4KodGdn32rdcdysYlAolAIrAICPTOAabPBxxwQP2sw557\n7lk96lGPqneEDzrooDk4Lrzwwur444/v7ADvuOOO1ROe8ITqwAMPrHbbbbfqrLPOql784hfX\nb8OcI5o3iUAikAgkAolAIpAIzBACuQM8Q4OVTU0EEoHeINC7Z4BBZtNNN62OPfbYiud0Octd\nvqxq5513rs4999xGEHmJFX9l2G+//aonP/nJNc0uD0eX5fN3IpAIJAKJQCKQCCQCfUIgOsC5\nA9ynkcm2JAKJQJ8R6KUDLGCT/t4Zb9BL51d085oIJAKJQCKQCCQCs4xAPAIdX4g1y33KticC\niUAiMG0EenkEetqdTvqJQCKQCCQCiUAikAjMOgJxBzgd4FkfzWx/IpAILBYC6QAvFtJZTyKQ\nCCQCiUAikAgkAhNEIB3gCYKZpBKBRGDFIJAO8IoZ6uxoIpAIJAKJQCKQCCwnBNIBXk6jmX1J\nBBKBxUIgHeDFQjrrSQQSgUQgEUgEEoFEYIII5DPAEwQzSSUCicCKQSAd4BUz1NnRRCARSAQS\ngUQgEVhOCOQO8HIazexLIpAILBYC6QAvFtJZTyKQCCQCiUAikAgkAhNEIB3gCYKZpBKBRGDF\nIJAO8IoZ6uxoIpAIJAKJQCKQCCwnBPII9HIazexLIpAILBYC6QAvFtJZTyKQCCQCiUAikAgk\nAhNEIO4AX3PNNROknKQSgUQgEVi+CKQDvHzHNnuWCCQCiUAikAgkAssYAR3g9ddfv7r22muX\ncU+za4lAIpAITA6BdIAnh2VSSgQSgUQgEUgEEoFEYNEQ0AFed911q9wBXjTYs6JEIBGYcQTS\nAZ7xAczmJwKJQCKQCCQCicDKRMBngNdbb73qT3/608oEIXudCCQCicCICKQDPCJgmT0RSAQS\ngUQgEUgEEoE+IBB3gL3vQ7uyDYlAIpAI9BmBdID7PDrZtkQgEUgEEoFEIBFIBFoQ0OllB/i6\n667LXeAWnDI6EUgEEoGIQDrAEY28TwQSgUQgEUgEEoFEYEYQiEegaXIeg56RgctmJgKJwJIi\nkA7wksKflScCiUAikAgkAolAIjAeAnEHGArpAI+HY5ZKBBKBlYVAOsAra7yzt4lAIpAIJAKJ\nQCKwTBBIB3iZDGR2IxFIBBYVgbUXtbYZrWzzzTev1lyzX2sFPO/DZw8yjI4AY7nllluOXjBL\nVGussUaNwqabbppojIkAGObcHQ88sFtrrbVy/o4HX63HbnKTm4xZOouBwEYbbVRtuOGGvQGD\n+UDYZJNN5q591W+pe+shGuufNugWW2wxVvmVXkjbhfmbYTwEsFv6Kltij7qegkkHOKLWcv/r\nX/+6JWXxozX+rr766uq3v/3t4jdgGdTIBL7kkkuWQU8Wvwsbb7xxbQBedtlledRuDPhRICxe\n5dwdA7xVRW5+85tXPPP4q1/9ajwCK7wUC1d/+MMfcu6OwQfMW/G74oorxqAwnSLYAjH84he/\nqPq4yIEDcrOb3azqkz0Vcev7/WabbVYvnCL7eNlZhtEQYNEK3K688srRCmbueuEU3fvHP/6x\nuvzyy3uPCH4S8npY6Ne25rDWZnoikAgkAolAIpAIJAKJQI2AR6DXWWed+vc111yTyCQCiUAi\nkAgMQSAd4CEAZXIikAgkAolAIpAIJAJ9RAAHmOOxPlZx7bXX9rGZ2aZEIBFIBHqFQDrAvRqO\nbEwikAgkAolAIpAIJALdEOCRAI78rb329U+05Q5wN9wyVyKQCKxsBNIBXtnjn71PBBKBRCAR\nSAQSgRlFgB1gHGCPQOcO8IwOZDY7EUgEFhWBdIAXFe6sLBFIBBKB/iFw1VVXVWeffXaVxnP/\nxiZblAgMQsAj0L74KneAB6GVaYlAIpAIXI9AOsDJCYlAIpAIrHAETj/99Gr//fevPvrRj65w\nJLL7icBsIVAege76CZDZ6mW2NhFIBBKBySKQDvBk8UxqiUAikAjMHAJ+2uDSSy+dubZngxOB\nlYxAHoFeyaOffU8EEoFxEUgHeFzkslwikAgkAssEAY9N9un7pssE2uxGIjBVBPII9FThTeKJ\nQCKwTBFIB3iZDmx2KxFIBBKBrgh4bPIPf/hD1yKZLxFIBHqAgDvAPgPsXO5B07IJiUAikAj0\nFoF0gHs7NNmwRCARSAQWB4E//vGPdUXpAC8O3llLIjApBHwGOB3gSSGadBKBRGAlIJAO8EoY\n5exjIpAIJAIDEPAI9JVXXjkgVyYlAolA3xDIHeC+jcjKas91111X/fCHP1xZnc7eLgsE0gFe\nFsOYnUgEEoFEYHwEdIBzB3h8DLNkIrAUCJTPAOcR6KUYhZVb5/ve977qgQ98YPWxj31s5YKQ\nPZ9JBNIBnslhy0YnAolAIjA5BNIBnhyWSSkRWEwEPAK9zjrr1NWmA7yY6GddP/nJT2oQfvrT\nnyYYicBMIZAO8EwNVzY2EUgEEoHJI6ADnG+Bnjy2STERmCYCHoFee+2162qcy9OsM2knAiLw\n61//ur71U3rG5zUR6DsC6QD3fYSyfYlAIpAITBkBjeZ0gKcMdJJPBCaMQHkE+tprr51wDUku\nEWhHIB3gdmwypd8IpAPc7/HJ1iUCiUAiMHUEfAt0OsBThzorSAQmioBHoPMt0BOFtZGYcrIx\ncYVG6gBfdtllKxSB7PasIpAO8KyOXLY7EUgEEoEJIeBzg/kSrAkBmmQSgUVCwCPQOsCe5lik\n6ldMNUceeWR1l7vcpUpHb/6QpwM8H4/8NTsIpAM8O2OVLU0EEoEViMDRRx9dvec975lqzzWa\n0wGeKsxJPBGYOAI6wL4EK49ATxzimuCFF15YcULml7/85XQqmFGq6QDP6MBls6vr35rQQyB+\n//vfV+eff37FdYcddqhud7vbDWwlSuDrX/969d3vfre6853vXN373veelx9a5fG+7bbbrrrt\nbW87L1/+SAQSgUSgLwjwjUUc4Dve8Y7Vk570pKk1y6N9+R3gqUGchBOBqSDgM8D5EqypwDtH\nVBl59dVXz8Wt9BsWW3z5ldeVjsli9x8f6X//938r/JkMoyHQSwf4oosuqvbff/9qm222qW59\n61tXb33rW6tXvvKV1Y477tjYOxTAAQccUP3iF7+o7ne/+1Wnn356tfPOO1fPe97z6vykv+Ql\nL6k23njjSiVBwjOe8Yx0gBsRzchEIBHoAwK//e1vK57xm7Zj6g4wDjd1bbDBBn3ofrYhEUgE\nOiCw1lprVbkD3AGoBWTRAb7qqqsWQGV5Ff3Nb34z16F0gOegWNSbl73sZdWpp55afe1rX6u2\n3HLLRa171ivrpQN8xBFHVHvttVf1nOc8p1pjjTWqk08+uTrmmGPqQeZ3GXB4Obp32mmnVRtu\nuGHFd8n23Xffao899qjudKc7VT/72c8qDLwTTzyxutnNblYWz9+JQCKQCPQSAY2K8vTKpBvr\nM8DQRZamAzxphJNeIjB5BDzujAOczwBPHt9IUQc4d4BvRMXjz8T87ne/qxdr11wzn6y8EaHp\n37Hxx8L1JZdckg7wiHD3zgFmRel73/tedeihh9bOL/15xCMeUZ1wwgn18ebtt99+tS6ed955\n1S677FI7vyTe/va3r19WcM4559QO8A9/+MNq88037+T84ii7G2JFTU63aYt9tS1cvV/sNiyH\n+hK7hY1i8t/C8etCQQeYXYdp8qzGHW1iB3iadXXp97A8fW/fsPYvZXrO3YWj3xf+43QIITrA\nLGb1pX0RadvkNabNwr0yEgd4KfuwlHWX4xR3gHHCOLG02Wabldl69btP+E0CGDAncBR6Wn2L\ndOP9JNq/lDR65wD7goFb3epWc7iwa8vxHlY4mhxgVkBifgrym/yEH/3oR/XxZ56l41ngTTfd\ntHrKU55SPeABD6jT4783vvGN1dve9rYYVR8t6NuOyPrrr1/xl2E8BG5xi1uMVzBL1QjkSYqF\nMUJXeaKywei6+c1vPjUFx2MihvXWW6/q8/xgh6HP7RPHvl4Z3wzjI3DTm9604q8PwUcjsAV4\nXIzATnCf50ef2zZoTJWRSy0f0QN9CfHkEG3qO+/Rxk022YTLsgnKgMXAflb8jnITs22we+cA\n48yuu+669V9sNM/vNr1+niNAHMMoFRK/L7jggpoE10svvbTadtttq/ve977V2WefXb3oRS+q\njjrqqGqnnXaK1VRbbbVV/RxxjKQOV/9i/FLdgw/C2ONPS9WOWa2XxZSuE4Q+srL2rW99q+ad\nWe3zpNrNTgPP0YMfK74ZRkMAhxYMu85dFwTBGvnHIx7TCPFYH7KyT/Iu9pe5Cxal4RXz5H07\nAsxddEfO3XaM2lJYeMHIZO7qDLXlXax4jV/kimPKaZG+zl/wm9W5K9Yc9V0KfMEOHlyKutv4\n+eKLL66TWNRAV2G/D3thbRutacejd5kjnpqYdn2LRV+/CD9omrwxS34HMtp3Igwah945wCqY\nstEonKZdE5gaoVAalPzWWOQhcZienV8CL9NiV5hnhksH+LGPfWzFXwxM6mk/gxfrG3RPf3nQ\nHUb36MOg/Jm2OgLgh5HfNRx++OHV8ccfX33yk5+s3zDetdxyzMdC1EYbbVQ/7zOrhsxSjgtK\nhB2ErnOXtzsauN9iiy38OdFrdICRd6PMj4k2ZAgxdj+Q5X1t35DmL3kyOpBnvHPujj4UzFvw\nwxHqiz2gHME+sk1c2+YHRjKPgy1FwEnn5FBb25aiTaPU6cuvOPa7FH3gaDH6A4fHxY5R2j+N\nvD/96U9rsrywFgeY33yxoI8BfwDcXMjoYxvHaZMyAPynxZf4WOheNj58LGucti5WGfwk/b9B\ndfbuaXWEM8K8ZFJW3W55y1uu1heEKoKBXboYyO9RG4486PyaB8cXQy/DcATYQefIOC8XW4nB\n51x4mVqGRGAxEXB1lzpLmTjJdkSHKL8FPElkk1YiMD0E3InG4GPzgBDncqz5jDPOqO52t7vV\nj4HF+LzvhoCLhF67lVreuXwJlk5v1FfLu+f96B286K4vPk+G0RDonQN8m9vcpj5i+Z3vfGeu\nJ7wUi1X/8jlfM7D6FPMTz/eAfSbm4IMPrhD+MXzjG99opRfz5X1VffrTn64+/vGPV7xsrG/h\nne98Z/XNb35zqs3SoPi///u/qdaTxBOBEoG42jotB5hV8XiCxp2ksi35OxFIBPqFgMc5uzjA\nPhL2gx/8oF+dmJHW6GikA3zjgKUDfCMWS3EXnd5cuB59BHrnALNbu+uuu1YnnXRSfVQLYcMb\noB/2sIfNHf9jJ/Ld73733K7v3nvvXTtoOL0Yc2eeeWa9Vf/whz+8RuSe97xndcopp1S8DRoh\nRvr3v//9ap999hkdsRVYwudl+2YY//znP68OO+yw6vWvf/1UR8X+/+pXv5pqPUk8ESgRiCvq\n03KANeysOxWpSOQ1Eeg3AqPsALuA63sF+t2z/rVOx9ej0P1r4eK3CJuI47Fbb711XXlcsJ1m\nay688ML6XT7TqMMjxdOgPWmasa3RGZ50PcuVXu8cYIA+4IAD6geY99xzz+pRj3pUvSN80EEH\nzY0BzM8zmR575pneJzzhCdWBBx5Y7bbbbtVZZ51VvfjFL66fVaTQIx/5yPrt0fvtt1+FU8z3\ngHkJVvn871wFeTMPAXdA+2YYezSZhY1pBvuvATHNupJ2IhARiA7wtBag5G/rnVY90s9rIpAI\nTAYBHWCckGFHoP0qRt8f/frCF75Qffvb354MQBOiAs5irSM8IdIzTQYbjOe6/fRR1FfT7Nir\nX/3qav/9969fgDvJej772c9W2223XfX+979/kmSnRis6wH2zz6fW6QkS7t1LsOgbz+see+yx\n9Yt2mh5m3nnnnatzzz13Hgw4t09+8pPrMuVLHnh1NxMGww6neZqfE5nXqGXywx3Qvk0whS0v\nXsCI1wCYNOw6CLkDPGlkk94wBORx8o27A/w///M/9acfSrlo3c5vXnCGfEwHWGTymgj0G4F4\nBBpbiXeiOJ/LlruA67VM78vvpz71qRWPwn3iE5/oS5PmnrOkQekA3zgsHIHmEUTfsbNYO8Du\ndk76pW6f//zn687xktxZCOJAW+P9LLS9D23s5Q6wwPApoy5v8jI/r71uM/LIAy1ejIWSyNAd\nARVq3wxjnQOMgB//+MfdOzRiTo+I9t1wGLFbM5n9y1/+cvWKV7xi3jOrTR1hZdSFi6b0WYmT\nx2nvOA4wc4NTMZyOaQvyt0ZM3xa62tqd8YnASkfAXUmcXwI2UHyeP+LjDnCfj0DjXLIIt1iO\nVMRn0H10euP9oDLLPQ09ge7A5v6rv/qruruLNW7qwknXx7uBCNN6m3JNfIL/4g6wJ2InSH7Z\nk+q1A7zs0Z+RDupI9M0BjsJvmit29l8DYkaGbVk28+STT66OO+64+jNmbR1kvO5zn/sMdPra\nyvYtPvK4Sn+UNqIgKTfI6HWBy2NsfZvno/Q38yYCKwkBHWCOQBM4BeV8jjggEzXq+3wE2sea\n+rYI5yIhmOYzwNdzli/A4tN8nB6CB+WxyHvTuFcXRv04iXp8oap8OAma06QRd33TAR4d6XSA\nR8dsxZVQoY6ilHiWguewVdDTAC0KP455TivY/zwCPS2Eu9NVyHttKomzRzq7xbMcmDtRwan0\nR+mT5QfhJX+7A5wO8CgIj5b3S1/6UhW/7Txa6cydCMxHQP3qDjAOsAu2MWdcvGV+93WO60D1\nrX3RAc4d4Os5S3uIZ4A5VckucLTJIv9N+l5dOMn6kMvy36w4wLkDvDDOSgd4YfitiNIayKM4\nwO9617uqd7zjHfXbtqcFUjweOk0HWIMCJRgFzrT6lXTbEdChG2QgeVSd66wosqYeq9zd3VHp\nN+Vti5NfuzjA7gCPMs/b6s341RGAZx/zmMdUhxxyyOqJGZMIjIFAfAaY4l0cYPL1dRdYB4R+\n9WmnNR1guGZ+cAfYxw5ZQI022fzck/2lLlRHToK6x5+hJR9Ogu40aWgPUccgHT/NNswy7XSA\nZ3n0FqntOsCDnI6yKU5G3tg9rRCF7WI4wPQjrqRPq19Jtx0BnbNBvKgDDBW+IT6rQeV+y1ve\nsu6CSn+U/kgDvPhEXFNwfvsc1yBsm8pnXDcE+Gwbhv3FF1/crUDmSgSGINB1B1iZuPba17/3\ndNAjEUOqnGpydDz6JIfSAV592F1c1gFGf2D3yZOrl5hcjLpQ/TYJytEBtm+ToDtNGjrALHxp\nc0+zvuVGOx3g5TaiU+iPO6CjKCQn42I4wBtttFE1TQdYBwFo0wFuZjAM+ze84Q2Vz9A051p4\nrAJfR7iJYjTu+Db4rAYXeG51q1vVXVDpj9Ifd4Ap45wsy8vf6667bv2iwEHYlmXzd3cE3HVz\n56R7ycyZCDQjoLPhKREM4aaXYKm3+MQLIcrIZspLExsd4D7JoXjsuU8700szStfXqhzTAfYR\nmkk6pW39cwwmWZcO8K1vfet6J7ttwbitTUsRr37HRkAWjGMjLEW7+1JnOsB9GYket0MHeBSF\nZN6LLrpoaj3TQbjHPe5RC6yoPCdZqf2HpobEJOkvB1p8i/k1r3lN9fa3v32q3ZGvBi3GxDGa\nZQdY5Y5CJgzqcxvoKkjSXTwo87q7wRtkWUwap56SZv5eHQGdDuSUR1dXz5UxiUB3BOSj+Ayw\nC1qRijvAd7/73etoeTHm6cN91OHK+j60SxlJW6IzPKm2RZ01KZrTplM6wJ4g0i6bVv04vzqn\n6shJ1MXiPbr2jne8Y+1MRt05CfrToKFO57NhhD7NmWn0d9I00wGeNKLLkJ7CfxTD2Ik4TQcY\n4bfJJptU2267bY36tHaBo0Exi4pqMVhSXKatNOQrr019i8bdLDvAGhI6wOOs7kYDoW0H2AUe\nd4BHmedN+GdcMwLuAOO0OLbNOacX647h9GpIyl0RQGYudDwsHx1g53Nsh/L5bne7Wx0dZWTM\nt9T30QHukxzSBgKfSTvA//3f/12xiM97U2Yp6ADzFmjCYu0ARz0Y9dtCsOMzmtguLBDxUi/C\nLByDpv+8gIzPuxJ0iOsf+W8oAukAD4UoM6hQR1FIGtvTPgLNquNf//Vf14M0LQfY/lOJhkRy\nxXwEVIaO+/zUyfxi5dexGMSL7nbgOF5wwQWNRwIn06LRqYxyTEknaSEOcFyQaBsbF3hyB3j0\n8RylhA4wZZwvo5RfaF4MOnjpyCOPXCipXpc/5ZRTqr333rvxc0B9aTifc7vXve5Vvfa1r11Q\nk3SAPQLNM77KyEhYh1cHOPJizLfU9311gKPTG+8ngZdvhZ/mZsEk2lnSiG+BJm2xHGCPP1Pn\npBxgjz9HBzjyInX1MeDw3vSmN603gmjfoI2BPrZ/qduUDvBSj8AM1K9CZecirr4NaroOCkbX\nNFalOAKD8EPoTtsBxkFYb7316u7qXA3q+0pM06Bvc7ImgUkU7vJXE12MvfXXX7/aYYcdaiN4\nWgsjTXUPi3vuc59b/c3f/E2l8TAovw7wtJ8BdneD5wc33HDDesHAuEHty7TRENAJoVSX8R+N\n+vDcH/7wh+tdjq9//evDM/ckx09+8pPqhS984Ui7Meecc071uc99rvrpT3/ak17c2Az01qte\n9arq0EMPrY/Bf//7378xcYw7HWB3gFnEQk97NFqSLNziHN/5zneud4z6qsei0xHlvf1YqmuU\nh5N2gHXopmEnTRMvdP4GG2xQ61rqWawj0NEGnYYD7NcQZmEHmAVuTkHyHWbCrPFQ3egl/JcO\n8BKCPytVR+EfhU9b+8kTFfA0VjaZ+BgTi7EDjAOsE7IUhmsbzn2KV1lM0wGOwn2QcYSxt+WW\nW9aOJhj16Rj0t771rdr5efnLXz50+FTuHG9ih2eQ099GTBqkR/xifneAPQJNWhu+RxxxRG28\nx/J53w2BuOvmglG3kpPJ9YEPfKAmtBR1UzH13v/+96/e+973du4QTjtHQz/1qU91LqMMWqp+\ntjWUheRnPetZ1Zvf/Obqdre7XT2nF3qiSD2rA8wiFsE5bVtweDmqioPMS4viYox5+nDtqwMc\nnd54PwnMtKma5DNpOsiTqGuSNND5vgALuu4Au3A7yboiLfEiLuq3mGfUe3eAOSExS0egkXXR\nAW7T26PisVLypwO8UkZ6Af10BxgSXSZYmWcax6AVfKzW4Zyy4/ejH/1oAb1sLoqTjZFBPdSx\nUIOluZbZj9UBLsd+kj2LtON9rIPFGngDp5GdVkKfHGAXUN73vvfVu1Sx7eW9hgSGBSvtUfGX\nedt+xyPQbZg5vz0CDa0mZ5vdphNOOKE69dRT26rL+AEIRAdYPhiQfaJJyK0vfOELNc3FrtuO\n/OAHP6jf1v/xj3/cqKFXnVnly9ACqzJYJjpTXcpNOw/zhkUIjlmeddZZtaG9UH3iDrBHoHWA\n45ug0V8sBrAoSOCzajjEOs/T7vco9OOYNcmgUWhNMm/cBIDuJJ1g5XqTA7z77rtXj370oyfZ\nlYnQgu/QT9EBXoodYOb6QvkYG4+F6dvf/vb1hoo7wJEXJwLahInAN+hujkDzR2jioQlXu6zI\npQO8rIZzOp2Jq8ltRnSsWQOElSnCNHaAdQ4QurwEYJtttqk4LqdBENuzkHsVH4YFBsRCDZaF\ntKXPZd1tceyn0dZIu804cnxufvObV9tvv33djD45wOCkocAxSJ3PJrxc5NEBHmcnIDrAbcpR\nHscB5gg0oQlfcKQN5G9Kb+pDxl2PAOOME4esIozi0F1PYWH/cbgw9AiLXbctt95RFkTlM8tK\na9BVOTFKmUH0JpX2wQ9+sCZ1/PHH144DMmqhixHqu0E7wMgcnATqI3Cl3CTxQfeOI5/qBoV/\n6nWiHPuQvGS3ykgbMEkHWNya5DMvZ+LtxE1ptmUprjiHyBNfgEUb3AFWb02rXS4YQJ82RB03\nTp08IoVd6xvSZ2UHWJ7A+eXrDQRl3zg4DCszSZ4fVtdipacDvFhIz3A90QHuopR0ku9617vW\nvR7F4OkKk4pSoctzwBiZk37uSweF46E4wNRr3KC28kmg/fffv1cvYBrU3oWm6QCz86BCXyjN\nsrwCn/g2PvRoH0YeyhllFh3g97///dUBBxww8YWSsq1NvzEM4J173/ve1eMf//iKT0e99a1v\nbcpax8FrPLeHcht3BzgaI23K0fkdHWDncGwcbys19H113Hb25eozlyzUERbq+IzaL50vPvGB\nMd/GC6PSHSW/Dtco+kA+tGyX+uybMqlLmWnnof2f//znq7vc5S71ThP1IZ+QB+qycdrg7lfp\nAMcdYHnPHWDfGBtPJLTVDZbDFrBZdLzf/e5XHXLIIW1kOsUz1sgi5BDBse9UeMqZdIBt2yR1\nnA5d1G90xx0+7qPs5fdSB+VX0w5w1DnTaKd4STvW97Of/ax61KMeNXfaxTyDrh5/1gGelR1g\nHf94BFrZN6i/46TBm8gP3sewnEI6wMtpNKfUl+jwtTkesWoVFztwHM0apkBj2a73Gg3RAabs\npF94pHPgDjB1uMvIfVs444wzqrPPPrs67rjj2rIsq/hobDr+k+5gpBvvYz0ae+52wIPEYYBe\nfPHF1Qte8IIKZ4DjmIsdxAjD98UvfnG9E3zMMce0OkPwuLvF7Mx2mXtln1SSxLcpR3l8FAfY\n+VfWl7+bEYD3CC4KygvNuScbS91f+tKXqr/7u7+r3zwM9cWs397oxOI8dHG+KOc8t6y0Bl3l\n81HKDKI3ibSPfOQj9S7sHnvsMUdOh7SLPpkrVNx02QGWvjKRI9AEFwsLkvN+PvOZz6yf2x40\n3znSTjt+/vOfzys76g8X1XzrvWM/Kp2Yn5cO7rbbbjFqrHt3vzzV5u+xiBWFdOiirCZL/N03\nB1j54W4p7dUWG8Qr5FtoEC82JQgRJ+Qcf2eeeWbnanwRHYtTBPvUJ/nR1Bn7zQ6wL8FS9jXl\nX0gcG0vQ5uWCyymkA7ycRnNKfdFAhnwXpeQkZCWND3SPsuLftQsKWR2Eab0JWuc/OsCufra1\nFbw0eI8++uipPJvcVvdSxUdlUa5kT6pN8hX02vhQo05jb7vttqur/973vlf9v//3/+aeo2Wl\neLGDRgOGL0r26U9/er1bfv755zc2BR6Xv9kBhq80eBsLFJEcD2Mshj0f5PzGAfYolUZGJBmN\nsDjeMU/eNyPgwgzPpXMMWl5ozn1jLGN43nnnzfHtjSnd7zj+TNhzzz3nngPtWn/3Wobn1MEh\nZ1ed4DyPZQfVhHPtHFmKPra1jZd5EaIDrIzSQW0rOyjevpbPAKu3KCvvWZ87wMa30ee5yE9+\n8pO14z4I/0984hM1CQ3yNnrD4q2DZzEJ4yz4lXXw3Dv9iDviZZ4uv90BVh5P0gF2NznqN9oU\n9ehXv/rVLs1ctDzOrbgDjBPGSYS4IzuNBqmb5GNtQepyYe0rX/lK56qdfy4MMcbMp0E67tvf\n/nbF2+aXMsgfLMqo40semlT7xGgpNg4m1YcmOms3RWbcfARYafLZrfkpi/9LRYeg8dM8025F\nVKYYy8PqVVngAN/hDneolShCy6Mlk2ivhhFKnfb4wiOemRnWPsZyWB7bKN68AMuVaQTuoPJ8\n1w/DFQGNQ8au43/913/1hofs2zhXjuQSmBMeu2O8HQ/SuvAI+UYNGgqUg5+axkAjireskn6P\ne9yjroadeN4ki5NH+zD+msqP2qZR8msYyLM77rhjXRzn/AlPeMI8Usw5DEAMDNqpY4rB63O6\n8wo0/EBBwodggcJuw8xjlBgwGniMacSHtsfTFYx3TG+ofmpRo8zfqTViRMIumm299db14gcG\nZBf8PvOZz1T77LNPfWLgec973oi1Xp8dBxjM+DauOyPwRpf6x6qwpZD8TzI7Cg95yENact4Y\n7ZxnXndpr0YhFIbJ6Rtr6XbnC6aQgV3aIlUcQxYx+ASRu0yk+WWBhbRTGYw8pk3oKQJ6yzYq\nE1mMJu62t71tnQeeNE8dUfx7y1veMheD3GnKi5w699xz63z0symPRODBQXNX432rrbaqizD2\ng+hJd9BVR412KkMH5W9L04HWhkFmLrRt1qW9xBV83NmU98n3ta99rR5T7k3nfqmCix04jREH\ndoGZ5zFu0m10wRZ+5tlz9KT1Od4XXHBBred1DGkD8xd9aF7b5fxgXpjGOA+aly960YsqFiU4\n9bBU4yF/sJjuQkSbjrev417FCKzBGOyXQ0gHuMMoMnEQTH0ItgMFp0KedrsUONTDpBtWL5OQ\nwMqUDjCCyhXoOnGB/zSmOE5Ke9zpw0gf1j6q7pKHfDoHCDlXCBEAg8q7u/i0pz2t4vkSjkK/\n4x3vqJ89heYsBxcEMLzkxXInoQuPjINB3BHAAWsaA9vCYgXpOsA4v7T9Fa94RXXwwQfXiqup\n/Djt6loGhUpgHlD3ve51r/o3Lzkp22JeFDFpHnHCkCvz1kQa/rkowY4KDjAGZlNZaBIwnnWA\n2eGIef12LLii9DGAYnpD9VOJkueWou6FdEi+xMhCZv141UJdlz54rLRr/rKNOJrshvz93/99\nvRDirgkGTZf6S3oL+a0RBQ0ei+lSvzzMbkyX/BqF1NG1DHm7BJ1Nrl3aIk12inCgeDYxltMB\nHqZPpNN0dT6wsAdtjXEMfety8QWjlTgWxAjwpHlK2ryfwOfGSSvlgfk5EukYIbPa6Jmf9rbl\n0alikYiAvI950cW0WT0szbYrvKDO4N4j5235B8UrIz3mO4ocHkSXtMiz3OuouyBAHuwdxoSF\n/ogJaUsRnMvwcGwP+opd2Bg36fa5YOBCTtRryln4H9vrwQ9+8Fz16P84L0xgftBenUjiuUd2\ntvUDGw9+ZO5udcOCjfQW6+q8wwF2YSZiMcl20E8DNrZz1Li+XRnnLiEd4A4oyWgdsk49C8qX\nHSAEcBSQ06w4OsAYFcPqdbKwUu5K0Xe+8505J3USbVWpo/BtD4qRFx75u60eDP1heSyrI4Li\ndjXR5yHMU17Z0SPQnsc97nH16v9LX/rS+vibDkZZZlZ+44hhbLHIoVHA4kYM7Hp3xTeWG3bv\nkSSfh20y4tl9J9BO2sAYwIcYoLyUbOedd67TOYI5jTbWxFv+uTCCsqJueBcDAkVdtqXsh4oY\nBd91B1jnCQUJBhhRZT00VfkGRi5wMIdjXnawCBgUp5xySn3EP6bXiYvwj6PgGB5LUfdCuucc\nYVGQ8UdGME+GjaXlcBjH6bPf/n3Ywx5Wl9dQgjfGobcQDDxGBw2eu+tSvzu6OEdN871sj49A\nEE99XeooabT9ZncI3YEBrmPVljfG8z4Iwi677DKvPS5qDdMnkVZ579wt7YE415UlOFbgoYOF\nPGrD56ijjqqdBRaw+bxgKQ9sh04ydgmYDBojdGjU19Lw6mNDOB/kZcxj+4499tjqta99bfXZ\nz3628pEnyzZdwdWA3JT3jRvlKs7OV+yC2LZRaJV55XHimZfuQsrLLFjQF16ihgNMW7oa+GVd\nk/otT4FHxAH5xu4r+KBzphG0yVhIJDC2tkEdSzw6ixdOGmgruLlBYzxyAp6TBvEsdCCjmk5J\nMNd0tHEG0a9LEZSn2GOGOO+Nm8TV8YYW9soOO+wwCbJTo4E8Ur4OqiSfAR6ETqbVAsPnjIBD\nRTAIGvOgaH3raddnvgbRjWkKwehQ8oIZFHCcrLHMOPc6eTggriAreNroabSiuHDA+I4fQtf4\ntnKzGu+Chyuojv+k+6OCAlNCkxGK0YCRqvBDOfzt3/5tfeyPNxiyA4aTN0ke6dpPcZKPKAfP\norTK9sDHBPkbx49QKu86suWfOyrQYPFG/Mrs8jjGqcZxia3P/z70oQ+ti9u+klb+bkZAg4nd\nfw03+aG5xPWxlnMxY1DepjSfL3/AAx5QJ8t7XepuoreQOHiGBR8M0a76IPJhF56LPI6OWGpH\ngfZzjJ0dE08piaEnolzMNX6Uq7oZg4/gQplzmjh4CIdS+Yxxj5Olg0WeGHBEcdrRX7ytntAm\nd3hGGBm700471fmUOfWPEf85vrQTeRfHHlI/XnVqgvHsqkcjj0e+GLFZdXaf+XUHOO7ajkMv\nlom0YjvRCwR3MXm5U1+Cz9p6osR2qa9su/GTvMqLnqDQFqQOeBo9RujyHDD8BJ8ok+uCq/65\nWOKiu/FcqUO5onyO6Yt171xDt2PTIFfjYsok2xFtXhbElktIB3i5jOSU+uFxkzbDuKlaHSCc\nEI9KdDV4mug1xSH0mPTuypLnbne7W52VI6WTCu5+Rwd4mMGCoiZsdcPRGFZFCeJS/1hG/1QS\njnVU4pPspnR1gJvwRFBrWFr3e97znvr5XxQEq9KULx1O807zqkGmE0JdvhW45FkNCA2uhTjA\n8B9zUfzKPjrHMWTBiBCNT5Q9z6BhcGjEa6yWtPJ3MwI4FRhVOB4aW8PkCJQ0sCiv0dVcw+qx\n5GfXCIeCzx8R5D15cfVS04uBZ9gtYfeOHS2fqxxUY5zjXXgu8jjOYTSOB9UzrTTekMz8esQj\nHrFaFY6FY7xahg4RPqIzzAH2FIgkkZFtDjDfKWZsDjzwwDn9GuWBNBhDjOH73ve+tUwlfiF4\nO77ME+yNsk5pm892tF3j/CpptZVpi1dGqst1iNvyjxKvQ0cZnZp4zyem0Ftf/OIXRyE71bw4\nwCw0R/uLCnWAHatpNEK8dIDVlcg79P+2225b6yoWbYfJTMrC6y4O2V53dbVtjOcaFyPb5lDM\nP617nV15Eh0f5eUk640yih3+5RLSAV4uIzmlfriSrCHeZYJphKDEeE4D4T3pTyEhYBG2rGwb\npuEA23+cA4Qk9UVhYN3xigOMctARc/FAXGLe5XCvMa3D34VHxum3dMW1NGowSjAgTLcOxkIH\nkjiO5aPY4sq7ead5FScdIOrSAeYZ3Rg0IJx3OqYq/5i37V7DYJgDHBd5rEesoc0xL3DlmWVX\nxrsaoW1t61s8zzjzaSofX5h0+5AZ7paIofwwqC53WhijaNAPKmMaR/gYJxwUg4Zel7otM4kr\n/IOhiWHJQhn38YhqUx3IXnmT9CZjtCxXytguZUoak/zNAgTBkxORNjKJv7i7QjqLc13ftlru\nAHvsVL0FvaZFQXgR+dDkyPHCRhwbXr6m3CxlLXRx7gm8zEzHJzpwdeII/xwr5gdyKMogyCjP\nusqeOF9KvhihWXVWcdLhm6TuiLR0aqhULBkrjj77IsNR2z6N/MglHdBIX33lWMW0Sd2Llwvh\n4oRMQ66AF7qK+GG7lcrBqJNppzK6idc8qk++YbYgeSYVDj300OrUU0+dI2e/5Ukc4Mg/cxkn\ncIMMYWyxnXgWfbmEdICXy0hOqR8aIAq2JkVYVm0eHD8UMkepprEDbJusfxoOsP3HAWaVHQOu\nNFisnysrjjyHQp8NCCZCqdBNn9R12GrnpOop6ahE3AGelhCGLs6s4y6f2R7HRUfD+PLqc+lx\nJbfMM43fGGS0XSOVOnwrLJ/qiEEDwr5qiI7iAKsgMU7hQYxiDblYl8ZyPAIdedXjzxwlpx3k\n00GPdGb5npfU8Ycx/7RVL69jx3tSAcMeOSJfamw5bwbVI0+TZ9RTCx5/5gVYBhwL5lCXui0z\niWt0bro+FhN5kDZIY1B7dHTcXY1lmA98Cm0xDTiNZWVj2XYW66KjRjrf3n34wx9eZm38rQPs\ns/voKYJzGgOee/GQiLzYZMCDGS+7Y54PkjtNDrByy3pGueps4HxMege45KVR2kVed4CVx01y\ndFSa5o8yPepOsWQBE4eOse5yrFe607qid8FTHor1iM8S7ANuAABAAElEQVQ09YN46QCLk4uF\ntItvnhOGfT7KuadMti+DdoCd0+RdrB1g+njyySdXb3vb22zinLMbd4AZm2nYgeghcOUEGGMb\n5epcg2bwJh3gGRy0xWyyDqArYqXT0dQWjRAdP5Q/5RQ2TWVGiUMRUIfC1rIoeQyK8jip6eNc\n7b+GBXUM6gcCEeXobih1ugO8UCU8qP0IJByUww8/fFC2BaVhQL785S+v3ygbDWjv7bPjv6DK\nGgpDFyw1yko8VUalsVeS0gGOL8wo80zjN3xTKlqUOMq2dIA1INxZsc8q/y7t0wF2B5gyTWOj\ncQePuwMc69GI8K3VyAKN1S7tmIU88gI78h/72MfqF9Z9+tOfnkjTNcw02OQB501bJRxvjbJm\n1AUb3tBLiDvA/GYXeFjd5Bs38O1V3rQenQT5BV7v6gCXukYag9olf+twRkONlyedeOKJ83ZR\nBtGaRBpjz+MzGtQlTWQV89Q5iPHKixzZ5SrlW1mW321HoNVbLqCUp2J0XuRNaTPvaYv6XnlQ\njgX52N3mODtyXzmlzJHeKFfG1wU26kXPRx5SJnbhA+qNc6cLloPaCiYsXCqHY7sGleuSFmVt\ndIDFEmzR7QTm1lIHeUZ5FtujTaZTGtMmdS9e4MJ4yBcu5tAu8VJ3tdUtj3gyxnzO1yg/TFsK\nB1i+YEfbxS34g00Z56g7wcpA27vQK3gz/5EZfMqNsJiLiAtt/6Dy6QAPQifT5iabq0ylIjn6\n6KPrz/xEqJiAHBVWWXQ1eCKNQfcKV5VuzMsuMApy1N2SSCPeK2x8uQgGC8aFbYh5ufcFHXx6\nxqCAmrRgkj7X17zmNfVq5Je//OUYPZF7BOC//du/1W/+e93rXldhWGtcU4HGtEZnySMTacQq\nIuDHokrbgoIKUOOurV4d4FEdijZ6XeIxaMFR5yeWwenCUFUZk6ZS16BwLqn8Y/m2e3l0mAOs\nsRwd4DiG7ABj/HlcG+PY9rXVvRjxOAuTMkRxgDGCPvrRj1Yve9nL6uaXixLj9smFGQ1GjS3n\nTRtd0nEC3N0bRabhGOGg4PiUb8ylfsZP56mt/nHj2UnnTeG8LdSgIQnv2B6O1g8K8qDzWRqD\nyihjXYyLZXw3g9dBdCaVhrFM++OjOpG28sC5j0zyiKfzN+Yv7+EPQvkMMEdBCcrEclFQXpQ3\n68yr/ulclg5wKXfYicQp9AVN2gcLkQvUbb3K+Oh46xDGMbXdTVcxJU1easrXJQ45w444pycI\nk5I7zEEXP6Cro8O9/cWxcfFxVAcYXpcHoGlAtnz4wx/250jXQQ6wNlkX3h2p0pAZXkRXwfPo\nR3GyXcg8dBV5hu2YyyPOQ6uRD50PxnPVbujyOFwst5B7+8i89lg3cTq90HbOKAMXUl8s6yIa\nMuNOd7pTnbRcngNOBziO9DK6542Bz3ve81rf3ti1qwpnj0NFRcIExCE67rjj5pEjj5ORhO23\n375OZwV+EkGhpHMQaU76GLTOQXSAqU+hEOvmXuNKA4w4d8KjMid+UoFng9797nfX5BTok6IN\nnRe84AXVkUceWR+t2XPPPWvSUQBikKCMdCyjEi/bgdH7xje+sX5Wp0wb9lsH2AWF0ijTmCt3\nO0q6HO8jjOJQlDRG/a2zo/MTyzcdg9aQ1KAYxwFWaY7iADOOvKhJXgVjnovlGTQ/z8G8Y15E\nWRD7s1j3Bx10UH3UTRk1br0scmE8+diCx+eaDMdx6pAvdeQ0tobNVet31V3Dq0sb+Owc4x+P\nP1uO+lk8UI4aP6mrz1HH+WVdo+wAy18uJnZxfDT+lL+xjM8cK6Mn1d82OjhJzOOmZyUto6xy\nrOPOyiA5ankdYBdJ1FMu3KqnrMdy/rZe4x0nHQDljvLAfOLqt1jVxeM6PvAjZa1X+0Ee4KpT\nbxttS9tVmUu6fNGWd1g8MgYbSBk4KQfYxQ5thDjmzF/wZ0xZXGbujOIAgylH6Z/61Keu1j10\n8NOf/vSxTsvpaLqIEomrr7qOUSzb9R6dJF+i2+S5KGdxfnGCsVMGjb08Uupld4Cb+sGilmNi\nnV3bPm6+2AflK7ziwhN05aGYd9z6YjllBPrLl2BGORXzztp9OsCzNmId23vaaafVR71GEZhN\npFWkCBSUUnQ6VK4KEcujrJyMxPENSpTHmWeeaZaRrihb+mNbSucgEpu0A2yd9J/gSrp9j3Vz\nr3Gl0UacynwUwYSx2/XFYTzXhrID42FGNe0xsPrMjhdHxu2nafGK04pjBC9xBJoQHWDGH8PF\n1UiNlkjD+1e96lXVEUccUfHSoVECBhh9hK/Es6xHQa1x10Zfoy0a6G15JxXvuMg/ka47q3HH\nUR7XsFThl4ZopFPeaxigJB2baGCZH2eW8dWIZoFBbBkn+ESnkDIaqbZROot95XgbBspCH3lg\nrsFb8oWOqobeQvslHQ1GjatSbpb1yM8e5xuFXz2hUR5/pg4d8GH1l+3p8huDXrkV26vDpJwA\nA/O10ZUHXZiQRlt+4i2jAxz76OkcZfQgOpNIc9wHOcDKA/VJlKtNc7Vslw4w85egA+zCrTxU\nysQ2Hhdj53jbYqM4q+d1fFx0K9vpb51Yf3ulHH0p67UeZRn5m5wS6cSrMpc46cT0Ue5xgHF+\nJ+0Aa085PnHMwURcaeu+++5bOzyRRwb1gVMt4ObCT8zr3PQa04bdy9fyUMzvIviw0x2xzKj3\n0QEGH3idOJ1R5SxyE7k+6H0O8ogy0bYoo50PxnP1VAf1oI9H0cmRzij3kS94uSEB/lCv89u5\n2GZnciInykPKdAlixHi7A5wOcBfkMs+SISDT8jzRQoKOEYoVxyMqEieTV+thAqo4iWOS7rrr\nrrUgHudbdu985zur5z73udU555xTV6EyVFlaL9dJO8AaEhoWGiwaFrFu7lU2GmDEtTlspLWF\nJz/5ydWjHvWotuS5+A9+8IP15xEe9KAH1U4KBmhXgfzpVc84/uM//mO9QMFnUlgtJq4MKAEc\nMf44zs5iQFTCpLOCCkYYCG0CGCUlfZVoWVfbb2ki5OWtyIuUc0w0JtpoLeUOcKloaWOTAwyP\ng7OOr1cNpra+xXgUJE4tmA1Sjhh3LvBQHnzlIZ+h0gkj3XnX1RClzKQD89LndocdcxtWt3NW\nR4s5PsnjbfK6BqNvJVdGt7VPgw7+YG6NsgPc9AIs69G4K+W26Qu5Ihc8Wh3bK6/IOxyDxpAc\nxM/yoOMijUHt01D0cYxowOoAIyOVFU20OMKN/LUfTXm6xNE/ggZ5Uxn1SZMDrJ5rKmecbSwd\nYB1N6VqP5ZRDJQ+IseOkrHUsLK88Vre5EzVoUexd73pXrUOabJJh9ZpO/fHe9jRdmV8sChNK\nXdGUf1DctHeAlQ3yL20pHRx233B+uh5dFmf4iPbHIF8Mmgcxf7xXLjXxNfMOp9QXJ8Zyk7pH\nZqgPXSAAK9slli7aqsOa6lcGOx/MI/+XvIbsgMdZ1LIe5btlp3GNfMG4Mh+Z+8476tQZdm7G\ndtBm7LsXvvCFMbrTvbzCeIML+iPaf52I9DRT7gD3dGAW2iwntsclxqWn4MRARhlGRWIdxJmP\nSYmA0uC23sc97nH17RlnnGFULeB33nnn6iUveclcXNONQtrv4GkYKPxiGZwflH3cTYvpo967\nAKCD4C6RRnNJj90FnA5XQkkXi4hdWS7+5ngVK2zgK64x3XuE8Ste8Yp6946dWY0cx8V8bVcV\nxj3vec/6iBW7fRh/ZUAJaDRjaPGdPZ5DYawde48QYRBFYR1pffKTn5x7dsq6Y/qge4U6WGqU\nlXjKJyqmNno46bR3nNXvNprD4h2TUtFSjtMC9CvyLArL3V/yqPAHOQzki0EDCmdOHhTHmA8e\n11AknjHU4NV4GMUBpl6+IRr7E+ubxD3OjMb/pBxg5zbPO8Pv8tNC2yuvR4MRPojOWVMd1k85\nDK6u/MpOGrKShZ54EsU6nKul82P6oCuf5xnEgxrd0Ijtta/KEd8LMWg31vmNXGPRQBqD2mcZ\n+20fcQh1SCk/qF4WFZFV4j+ovkFpGsZx3Mv8ymyNzGhYtsnRSMMdYE9vuFDrwq19LmWickh8\npKnBrwOg3FEemE+cdYDVxepm88Xrf/7nf9b67C1veUuMru+tV/6QrvVGutyzszcooDeRdS6e\nNMm9QeXLNOghI30GGN07ieBccnwcc+rDDogODt+SRjadddZZnaqOtp/8ZUFl0jg8Poiv0TX3\nuMc96kdKrMM6J3UFM/ky8h31oduNox2E8hODsR3wP3Mn6lrSsffgwVLmOJ+QrY7ZOBjGNnS5\nly/IyyIIOpag08u9c6aJ1+EF5sw4O/Pyjv3F/gPrpnpoxyyFdIBnabRGaKuKLRokIxSfyxod\nQBwPFK5OmUY9mRUUKiwNbgmxQ4lyw7iwPM4bBtUJJ5xQfehDHzLraldp+4InV5lLoWVBdoEp\nE3cgTBv1qiGhA3yHO9yhJtEmSDDMMVY1RMg8SDA1tQfnV+M+Ylzm5UgyfXzSk55UsYOrYavA\nKvOXv8URZ+UTn/hErQjkG/OibFD2GkTE8zwoY8gigPmtG4GscSQNr3xf0jCq0lDYwlfiqfEQ\naaIYTTe+6coCBULcnZKmPJOMEycNz0gbo4HngD2yRhpGnoqc3yr8ss+ktQWUpAaU81EcYxnG\nsuRX4sAGB5ix1ZCknLyg0Rppcc9Jjfe///31J2fKtEn9jp9VUy6MS1tHTQcYOjgt8OgwQ7tL\nnRiM0TCjDJgy/wbxn3OERT0MLsZT+TqoXhYeGOem48+UkwflyUG0YhqY89Ij5HZbiEa3uJJX\nGa6DowMcx7GkqRxB78Bz0ijzxd/0G6zh++g0Iyd1Fsk/yAEWly5Yx7rLe43lLg6wcj46wNHp\nK2n72z65A6yekq+Q0ThNZRuQB02PzDinneNgiHwq5Y5jo1xRzmiY2z6v6BDnKTaATpTpZb3K\ncOuJWNDnsh6c66jvxVM+W+hY4oyCF7xFmLQDjKyHto6O/Ys6gLmDHYVNN4h/xTTafsoS08Sn\njDd90BW9Cb+p88u8vrBrGrvA2GOMvwsR4gN/0K54+st753PZTn6DA7i6gBTzEC9fGu+cRh5L\nn3qnHeQL2kkb3IBx3lG/znCTjve74lEmd22z9qQOMLYmwZdxdaXTx3zpAPdxVCbQJic9TKoT\nNw5Zy2Igl0pJIQpd61NhuUtnnSjhRz/60bWAx0DmDaXvec97asMaxcKLltomp4YPK3koHh23\nQQ4w9XbZgeL5QYWLbY1XFwB0ENhZoC9Nkx86tG2rVZ+FiAHnBSNCbGJa073PeJCm8GnKJ+a+\nmMDdBOObysQ4jQpwdBW0LKsC0HClvPVhrJlfZQiPNAlgHCq+G8lYE0ZVGtKMDnCJJ8pcpVRX\nMuAfzg6LDKUhNqDIgpJKnEpivggLjFx0iPztfOpqyOG4YUSpIAcpR+a4hjPt0tnGgGLuxd1f\n0m2XvEFcDL79l8cdmOfTCC5AwU9g++NVJy/GDRoT0cmHj3AilD3j0qYcPKbxIB2d0EH0nSOU\n9URJm4yULlff+9D0AizSnavyJHFdAo8vwFc+itJURqObNkeHBF5BBmqw6pg4jk20nN/IFOQP\nsnXYggQyWD0VnWaPPzvPBj1/rF7rOtea2k6csgVjuS0os5FdjLcOPPkH6SXpuVCqA4xuIqi3\n6Te8Y7rluMIH9tV457QOMPHIgxIL5bFYQx/ZrE6RnldOJNAm51V50qisV3knD0hXR8X80OeF\nb8961rOq17/+9VY3p5dw/JFttncuwwg32ADwHQ6qDvCkXoLlwgIYg59jrgOs/La5j33sY+vb\nLseg42JUtCOYR/LHOA4wDhjz27GwbV51gMtnb7EB7K95R71aXh2lPGHuwCNRzmKzgWnklbI+\nZKCyuExjDoCVc4x0HeB4BHocDMu6hv2WL5RfnoZUr1OevhKaeF0HGPt5kM6pCRT/5B2x1QGO\ni3VFkZn5mQ7wzAxV94YyWRA2BFbLFsKoCkqUiEpJZRiVp5PKyedkjK3ee++965+8sfj5z39+\nfc/ndTgCTZt5q6sr2rGchhoGKcY1Qomg8It5uY/PAaO4OHK1xx57zClF82NM8oKuV77ylUat\ndo39JxEDAye4yQHWCC8dYAw/sFOZr1ZJEREV1yDhKuYaKxq2cVwK0vN+qhjEkfLSNKN5mhxg\ndqodG9vAuKMwVFTSOffcc+v+P/KRj6yjNO5NH3aNfKXyi3gi2OGhrg6wRqnPkQ6rf6HpjokG\nb0lPo+HZz352fYSMdB1N7u1ziStpTQFsGAfHVkNVRRrLwOMuTBDvPP/MZz5TZ7NtlnGs5Q3j\nveoA8/vYY481euCVEwg77rhjPR95/nLQghiE3Dlk/hIWcgwaB5g5Kk9AT2U/Kp9SNgbGC8yl\nZ5pz1fljfLxieOBYgLdti04li3cY/2XQoeeoWlOw7nKuN+WNcb5YCyOw7SUoyC6MQxbJorFF\nXS60QdNPITmOsR7v1TPwLhg07fyZ1yt8r1HoDg46QEwe8IAH1Fl1iC3nFb2prLF+00a96gCX\nu6+RDm3EkWCs1dMe3dQJivnLe/WlDq4LWTht6En64nHwsix8wByOBr5z2jlOGeRBKXeUvcoV\n8iFrdFT5HQPyn4CTilPH88CRZlmvMsgxUOe7EORvaLoopJFPnPIW54Y22l7SRg3aUsjIhTjA\nnKZ561vfOq96MWBHE1yUz+JYOsC8FwRZNcwBhm5c5IlyTIeGhsT4eQ1r+QFfIbNKeRazy7/l\nDjDO+2677RazjnwvXupD9ZtjX8415lebnGNuMLZtDjBlkR2R15baAd5hhx1qzHSAI39oc8tD\nEVzxIW5Um4e5hN0LHgT1SpsOqDPNyL90gGdkoEZppsLfMtGhMq7r1R1QFKvKTqUUBalCRkXj\nZIz14JhyhBjDGuH8lKc8pbrPfe5Tv4hpl112qZ9b4/X8ZYhGIrtKCqToIMQyOsAo3cc//vG1\ng8tqZDTMya8wGyQQdIDdAaYcfUAQa+AQR9CoajI4wENsrs/d/j/uAJdjGUtpNCiYdK7iuMT8\n5X2JI3QwWlUy5Hdco0HEEWhC0w6w464RWWdc9U+Fvc8++9R8NMixt0y8Sg/6JR+ST3qDFHOk\npyGl8RTTFnrP/Nhpp52qN7zhDXOk5GGdj7mEG254vgvef8xjHjPn7EY+UuEzPl2CxrMKUqeg\niQfhcQ1naIuvny3zZSLWKy/If8ZzxSDHKWOOMLeZg6UhFPN7z64iTgqnNnj+kkWyQw891OTV\nru4cwk8Ej1eulrFDBPXCNxED+WhUA7GszvI4hTHIB4PmN2WZ0zhIJb+C8xOf+MRqv/32i2Tr\ne2laR5nBeHmyTG/6jSHozjLpn254WR7tRabg/NpeHXbkiHKK8vA2hvwgB1hehR8tqzyCRlNA\nTsi/9BPnjjYpm9kVx1mMzkGkEzGx/pg+yj36BcOxzcCGFmNLO5HZGpT3vve962qcw4Pq1AF2\nN049hd7W6Y8nGyIt2iU+xjunnePEI3uiTiBObJT3xKGPddz4HQNyANx33333+m3G9I0vOxjK\neh1DbQ11lScHzE959bD4EeccoI+j6F7KliE6wC4UjrMDjHznXR22l3qU5zjAtBP+Za7pxOjg\n2SbkEnKV93U4t0yLV3QzdBz7aBMok8gf42P5tnv1bOloxvzwzlarTsFhb8mfjA16gHlHu8YN\n8qH6UHy0ccsFcNoCT9qOWK88ojyMadw7ByKvaTPGHeA4niWNSf2WH3SAXfBVr1OPc9G5Gete\niAPMmDOPkNcEd4DjfIt1zdJ9OsCzNFod26oS9/u7HkvrWHxetugAuirrBFOAUMA6dVTMO4/Y\nqh++DAtB/qIXvWgu+eijj65XQE888cS5OG5Q5Ex+BS6Grkq2zQGGNhOWFdfzzjuv1XjSmFKo\nz6v4hh9xAcB0dy/KXeC2HWDKgYfYSKftqjAnfVDbFMwKagV5HJe2OojXqBBHyzuW5LEODVDi\nWAHE4EIAiqFlNVxiX1E+H/vYx2qFggBnfEZVGtJDyMtbGke0SaXuIgBxg4LPe0YHWCUzqFyX\nNMYPg/t973vfXHbGBCPHts8l3HCDccgK+Zve9KbauGG3LTqAGLYY0xoAZfnyt3NEB1jl2NTH\nNgeYucY43/3ud59HXn6RN2IihhdGHYtQz3nOc+qkuBAQ88Z7F6EwmnjUgWPX7Aq76xjzco/j\nhLHDc65go0FQ5hv2m7bC7xqK5teQkq+MH/XqW+91CC3vfHH+GO+VOUO7bEe5A0x/mb+0rzQo\nnb/IwKZg3eZrylPGsSjHeMsLng6I+ZRbLJDF+YUDAd8qpyjDThpzNc6/SIt79QxzRvnThhf5\nqQOHTl6PZXSAWZhhLPxNuRgi/ShfYp6u9xjLjJ+GY1s58iAfNFJHcYDdvXUHODrA9jEupMU2\nyAdRXzDGyCn+DOBfYhHHxnzIGvjWNOPB1DnN2LBogyx7+9vfPrf7rCyRR9Qj0lKeqXvNTx3q\nEvI6X+0TfYSW+sM2jXLV2cX5ZSzhXeNGoaO+9UpZ5TkOnbKattpf42I9nGYjxHdqxHTutfl4\nySgh2hHR6QVHbbw645B/Yq091padU0P0zVMNPKNNgF8XMhYRL+jpALtpULZLGRAxpxwh8sj1\nMfP/WzbKBBcdcIC1NSK28ylM7pd6W9ngvIj8odwzr7XTPviJOUdQ15o+6Mp4oSfsK3mx3zil\n5emrQeX7npYOcN9HaIz2adh43EthOAapue/DIvxLpWQ90FVIqCidjGWdvLDpgQ98YMXR55gH\nYcM3xqDjimuki+HFxMOpRWij6NucCcpxnJI8L33pS6tXv/rVdTNieyPtqBDqjOGfDrCGBUkY\nUYTSAXbFvcngoK9gUxqrNaHwD0GFwNIQUEiHLHO3GgHmVUiV/ZwrUNygFDB0XNXWIIrlHVfr\ngAT5WeHFATavZV2RjEoOJ4a6EJgYaowjikwhXjSr8af0wJGxoA2xvGMI7S5Bh0QDnGdVMdwH\nHYfvQpc87mrFBQJwFKMudMA38hxlmgzRNlruHmkgONfE0XIoOIzWuPvpvMIwAhNX2y0jLzQZ\nFX6Tl/mK8cWV3d2mo7rS48o4wItgBH2+bU04/PDDV5szKHjmBcYwfICzjQFU9q0mMOSf4y8/\nmF1DSoPa+FGuPLLBEXAMD3ZrY9A5bZvfxDM28rPts70sDhCQT+U4UJbxdl7HermnPfCFc7dM\nb/rtQgTyG/nGfCkNZ/UMO8A67LRXGaJBKX36xLwt6ZiuLkHvWFZa5olXx18Z5HyjDLIZ2YPh\nytxifpS4QSuOh/XHOrreo8OQz+IwqBy8AK+4w+4z96Uh20SDuUsYxwGWByMf0Gbnt/UhDxgj\n2mgAa+SCO8/EK2t03szLIjTh/ve/f32Fp/faa6/qx6ue2//IRz5Sx5W6TBmkjJdm0w6wu3IQ\nclfKPtFH+Id50sZnzDN2oyOdulE3/NMecT6N6wDbhziu0aGTb0lXfkcHxzbxORvCIAfYxagH\nPehBdd7opHlvf9SddcYh/5SHyqW27D424+kfHWDyx/63lW+Lj3iRR57TqSvbpdyQvyLdyCMx\n3nvLRpmDA4yeYhEYnclcERPLTeMKZsxx+Bn5ZYj8oY53zpjHhTVODhDEyvRBV3BjfrgQa96j\njjpqNZ1m2ixd0wGepdHq2FaVOA4ljKth0rH4vGwqDYxxlZKGAQJEIaow0QjRWZ5HbNUPhMp/\n/Md/VPe73/3KpLlJFgWywgdjhqOYKBEmtIJvNSI3RGB4soP1z//8z3NH0KRlGX8zyaNyN51r\n7L/xOsAewzQehU5oc4BJEzvum4IrmRoLEYsyv+3XYFFgDyoTaYClu3nEazA6lsSpOKRNHIFd\nYPrii8YsqxCWD8irolZxK0xHURzSkz68GLGUlrSpd1CIDgVG5Itf/OJa0PO8+Omnnz6o6NC0\nyBc8qwN9cNTgHEqgJQMGpwZAS5a56NKAEjdxNKPGXXSA49zVkDE/V9qBEShvxDQfM/AxBHeB\njzvuuJhttXscJceERJQ1CyY41B/4wAfm5XdXQWMYucDCEotjowYXrdp2gDUWpYtjzsv7uoRT\nTz21drx4DKOUCc6XONciTeuVnz1C7Q5EfBGV8t7y/B7Ga9TfVrd04lUHmKP9LKyyc14eO9fo\nZtHEsYwOsHJKuuRh3NocDw05+NGyTTwnPXlb/lVmISfZDaU+jEgNSOW15blGTKJ8iXm63CuP\nXEgZVMaFSxZUcZiRyRjZzuFBZXWAdURdNMPha+Nt6cmDkX9YFBBr87kAFmUPYyPO5tMY19Ez\n3ud/XZAnnpdW0WYWuNhNdVzVR6Wt4WKFc9780HJXknsdYPukA0ya/MF9DDhpz33uc6s3v/nN\nMXruXhmJzCOM6wA7ntEBFFMwbnKAm+wceITnbDldYj/nGnvDjTYfGwHYaMoTkr33ZZb+Lmk0\n/RbrYXyt3gBbdEJ85KDkj6Z62uI8Mi5PlviUDrC8rK0U6TrX22SlZSOvIauUxdBCPne1t2Ld\no97DM/KH4wYN47hXx0f+Il4HmMcMCaM4wPatDaOa4Az/660DjLBidfC9733vnCAfhDOKAAPo\nlFNOWU0xU25Y+iDas5amUIRpmSxMfuNG7Ut0AFV4GAYIc9J8HkBhEo2WUevS2IsCWboYMx7/\nYCxVlG11YEBoWERDKOaPgs16Yjr37gBHB8FjWOUOMAYVQlNBFGmp0MUnpsV7HWCeVcNAiFjE\nfNzTfurS6GFnh/q7jjVGRcRRgyhioeJQGdgGX4Tgmx7F2L7HfmIo00YXPVRSGonSHHSVnvTB\n0zjKKajloUG0SIMOygMDnedNMd5pHzzOx+LHcaasMzrA7OqI4UKVCEpfg8m62q4aGRql8BLl\nS+XYxN/yKrTL53+tD36I88d4jB2OCd71rneto3jpCWPC263bFpnAB8PGY7PSOuyww2qH5cgj\nj5xbiCLNeec8VC6McwxaY6B0gJt4lHnFIxpthrLt5ops5Og3fO8iQEx3rrXNVee9/IzRTRn4\nlT+NGmjK+9xjrKM7h/EatJDjXY5y4qTCx8hTFv8edMOuUnkMGqMbOYmTEh1g+UQZQTsJMc/1\nMfP/O7/hW8s6l+bnvP6X+ZURYsx8RF+5CLH11lvXBYY5wNJrqmtYXFdHATrqKe7Vp8xbHSbi\n24IO8EJ2gOVB+IY5Wsp6nY24IAA24mzb1CXKHuN5lwAyRaeIeBZJnva0p9W2Hc/GwiPIY49p\nRluD/OgqaDgf5CnSoh7RAVaHwQO2M7afcgbLRyfNNK6lA4xt0WXeRBrcO55RBuvQQVNnhnQx\nNK6kxWIC87LtG7foMxxl+Aj+Up5Ax3sXKf1d1tH0W75WPjblIY7xRRbgAPsokPMu9r+tfFu8\n+k+eXIgDrNxUTpR1ljKHdsND8VQH/Ah/uEBT0pjUb+qWj+985zvPkVW/EwEmyIFyoUddweIl\nfObC2ByRcEM9fKYM3iLIG1FGhewzfztxB5gVat5Ut5CAIOJtsWeccUY9wXlmxONBTXRRAgcc\ncEB93JX6WVXkmVLDsHTzLZerCo2JvdDngDWQWUXUMEb5WYfPg2qYaDQ4WUfBVOXmpKOsigxh\n5BEO4lW23A8LCjJpmd8281thaJpXFwCiA0zdGAnR0UG5sTroCrXlvYpHKZxM9+ouCuPG+Imz\n6fGKEVAaKxi+ZT9jGe8R5IxtxFGcIi4aGqZZntMFBGjAGxosTf1kTrJqKoYqzzjO0m27qjSt\nh2s0aKQlD7XRifEY4LSN4zwoBk4N4NzQJ2RO285UpNF0D1/QV4w55JZj2KZom2g0xaHgNACa\n0mOceEUDAWPK+WneJv4WY/JEo9UyXOG7UuljPOMEYcRroOAMP/ShD60db5+HjXS41wktHWCc\nLY7corD//d//fa5Y0w4wiQtxgMu66R/Oq8Yx9F2cQj9F3iOtDOwSw1v/8A//MOfoxTzyQttc\nbeJn+JX2eGxUpz3KLulJP9YZ7003f0wr7xlTxtrvCrNQhKEVHWDmDAsT6AP4nnkIfnEHuJQh\nXRxgdA48ZNkom8p2yvPKIMt4DFO8dISbHGDnKrSHjXFZf/zN2BOG7ZSRJxqXOsDMVR0m8rQF\njicS2hxg5HubE1XygLI+6gRoq/cjHsiRKCfIp6yJ7WauwAPwjs4teQksNNIGZC6yNuoyaSuv\ncAihbx7bCh2cMnHWAWYckUH8SatN9zrHm/gB+jq7nnZjMUrHlfQuARo60hEf5TntlG9JN4+Y\nlnXo+Fg+poMHeLlTyFwEL+YoQXnhIqWyJtJou9cBjrugTXnRf3yyB1nNN+HhIV7wSNC5byo3\nLM7+ql8YW3mfsqX+VwZEfrEOZV/bYmFZVnsg9l2+GwVD6x/limxzzB1XypdzGx4q+RwHGBmK\nbEHPKZua6mfRFl/Kl5YqD0tcm8rOYlxnB/hDH/pQ/QKjrVadP8egOf/88+f1lxWD448/vl75\nKY+szcvY4ccRRxxRPyPCSxJ4a96+++5bHXPMMXOrEiUJjiwiKHmO45BDDqlfJMMzB658DEsv\n6c367zixnSweiRm1bwptjBkVIVjHiYHCtE4VlkpnlPp0jFRIlNXgQVHiFOKoEEolXUe2/EOJ\nsAMmLbPF3yoF07yqNHTejEeYIEgUyBiDzIG2b2+Kh/hIp7xqZONgYhiBs6txMS+GD4pEg8A0\nhDnKORorpsWrzkvEsTSIyC9GZT3uAJPHctyrxDVGaQfKPK6aNo0zZQcFcVPgw4sYFe6AqIBG\nEdQoA8YX5XjggQfWTjrHhHj5FLjz/PiogXHBkGIhhBV2nn31meCI06h0yY/Sx8nUaR1EQyND\npUlexsZxsazzO/K38xzeaFvQIQ3sHBfowbvQ80VJ1oG+IPAitKbQ5gCT91//9V9rR2qQA8w8\nwblh116HoKmepjhXw3WOzIPBAN0oi5yb5Bn0TDN8yTsOMJj5rFVTQCbhECg3yzzW61whnTlE\n//iEDMHnipXFxEmvzagjD0FedH5fH9v83+PPOsDwEQsjPP5geRwPeFN9g7zFOMT50fgsZcgw\nBxjZodzUGLW+ppbKi8ogy+gA6/i6E9W04yd+0JdeU13D4nQUotxrKxNllnIV/kC3gOmgoPzT\nCXAeowMw2Eu+jrTkEfvcNk7KA3UdV/jQsZGmskbdQnzT8WfzI8uRscgz5kzkDx0cxwAdQrr6\nyrYi5+irj3vpANMn+2c7pWX9XtUd8Kp4msZVGRkdYONivkH3OrTkiTJYTOmv+OHAmMe4krb4\nWD6mu4jOLizBBRZtHGQLOLroZ/+lcdJJJ9U6zN/xqlyKPBvT4z0yAtuFseDt35axbzFv13v7\na/8pJ0bwh2MkPWVAk9yQ7+UTy3hl7qIHOMEAvzc5wPbJ+W7Zca/oFRZ9o2yiz8gB5VrcAdYe\nsj54vckBRvZhOyNzmS/23XJeP/rRj9a3Z511Vn2VN+Qh8y2XaycHmGf4Hv3oR9c7sgg3XsDB\nC048/ogCfvCDH1w985nPrIUFTuu4AUZlArMDDPMR+EQIzNfmxPGSBQxXBTWDzeqTz0kNSx+3\nrX0tp0GEkaNB0oZd7AMrsX6f13gdQBxgFQkT0joQHggZBYzCzbzS6XJ1kimoKSNd+oLB6Dfm\nVIRd6GKMkV9alom/Y52mc9XZoP8xePzSXWBfSsM8aAri0aaELYORjdGCgAdb8I8GhfmIQ7lE\no4E0hXlbfyyvARFXmJuMYjCi7RpWlvc5aH6rZLgv+4lRQdDY5V6loXAlblgo+cp6dPRRzAh4\n44fRI902oeiQXYZ/+Zd/qZ2NT33qU3Or5qbFK44tsk6lTBqLIhhHOI48f8UYuZoqvpHGKPcq\nfevjhAzPijfNbQ0ujQPqQYGCV3QS5e84vsrRtt1faMl38hFxPv9bOsC0EcOEY9BNQSdUgyzm\nQSaga9hd9HlzjFwMfh0a8nNUm741YRHplfc439ByJT+m43zC/8pAF1TJM8gB5sg2/Mhn3qID\nG2mj25g3PJvqke6Y7txwrpCmM8WuCvzlJzHiXI9yOdIr752zbYZQzF86wKTxIkOCn8oqjW7S\nmF84KI6vdZJGcP4pI66PvfE/stL53MRvN+a8/k4ZoaFoffZRftEp9C3JkY55iXOexfSu9xrE\nTXxV0lBmE68DrGHrPC7L+FuHDR1HcJeVRTjS7LP541V5JM84l8XavKXcUYeJs/nUJbHNvgAr\nPv9rfq68+R45SYj1Mj+olzlNfcxB6KOHqde26pSAM4vS9IUxRD+Kq+203XVl4Z9zDSejiRd1\ndnWu2AFGruO0dw0uSJI/4oMzQkB32U7S1flRftcZb/hXjklMUwZq+ymD7CfyArlqvE4tNFgs\n4usc8QsdkTZ4M05iEdPK+3ve855zUfgP9iX2fy5DxxvnpP2nmLag/Ymk5Cn5JabJ98qJmMY9\nspfTrO5iy2txB9g6xbakMepvHsf69KpPzMUNRh1a8WMBDx5kLkQcqAu5YX5+Y4/A957YU/a5\n6EweA/aMi/XoavhejLTNzbtcrmt36QgGIZOTl3rsuuuu9acpuL7sZS+rjw/yshIELkej2LWN\nKxRd6Mc8TsbIZDAoBhoT1yO9sQzKJuYnjd8aBsPSIy2UfXmUjld+lw5QLLOY9y4K0B6Ng7J+\njDYmPgoDh5G8GG9t+S3Py6mYALywxnoQ9AQmn4YxE0MhhtHK5EBIoIRVFgiPYfVZr1dX5nW6\niFdxUA/02GHlDaTUOQp9lCEGD2XoG9coFOlPEz2dBbCM6SoXBAwKnB1gBDGK3tV4+8VVIYuS\njXRiHoQSwguHgTwavBgBCi7zUy8BARzpOQ8oE+Mt57VpnDSWUL6W1ZDwt/MA/DFgMRhiGzTY\noU8ZxpLA2ErDXUWEq3G2q+1Kf+A/DUOv8Cc0oEXfu9KjHhU0DovGkvUj31gJ5xkrX0hmmleM\nBMYd54sXHREcF/gDB4WXaun4wcMYOhipo7TT+uyz/MuOKgswT3jCE+pjsRrP5NfYi5hoKIgZ\n+TSYwdY2sXOAvN9zzz3n4sgbg+OMAWc5DS/mg3GU4R6HifYi3+PiCenKfNofy5FGYKeTsqxK\ns9CJrIGfNLjJ85CHPKR+1gzZoEFN/LAA/8LHGhcxP/HsKoMlY+fuEnna5Onb3va2ij/aB380\n9cc6GDeOnLE7wtVvGpOuI8ZCmzRcdCOdMk3zVSeQtluO/AbGG6NJ2YK8acpnfuQfL3LDwfCZ\nQdLQ+a973evq3Wh0jTqTRRPpgQH61OcUleHSll8Zf8uYxhXc7T/8iVxFHzTlJb+LOcxl8ogP\naQTsEuL5Y15gs5S0lFfkx8GJ6c4VbBH1I/maggYxvB5pNOUFJwMyifzqCxy/QeV1fJmv5HOO\nuzA7qH74gPLoQcoiYwmMdaxTmjjUxOvcEx/z6exH3cM8YezoF5hRXyxDffD+gx70oNq2i2n0\nCYfHccVhJ52rOkpHkbEmPw63GzPqJZ2gNt3rXKMtjFuTjUka8pf6bSP86D3pg4J9IE+UmcbD\ns8pUdCe8j5MjH1BOuwI8B/UJ+UhAL9E+5h0B2QAG8DXzX76L9paLcThhzDXkiAG9AT7OI+Pb\nrr7zgz4gr1wsY0zbcMPJfOpTn1odfPDB9UnTkjbtJ9B/aXAPv9Mn4yxn+7HvcNrpg3OGflM2\n6hHLeX3JS15SPxPLI5W8uZygTOJeGSM/EreQ4EZKtEe1KWKfsTOb6kSPwT/0FVvNRT42BMFm\nkO3lIy3ML+YEcl95uNWqk7+EcW2XuvAi/mOcu4ShDjATke14lDUvNCHghPB2XV4IwjNOCMTX\nv/719Zv0himGYY2CFoNXrjAh3BR2kQYTgsHSODSN3wiCYenm94oBhQETwz/90z+tttIS05fi\nHubWGSnrBw8cJjAjYNCyQu+qUZnf3yo26GKoExQWKDsmIIEJpqHFxNCYQrC7ookytP66UId/\nGkQ4M5bV0UZYE4cgxfAir3k6kK6VOrurKBH6RFkmN79R7BgBTfR0gBHiMd2daHdwWGxhjrQJ\nUx0s+DHSiW3HICNgRJJHpxesyzJtOFsGw7YsUxO/4Z/lMQTNx5V5JxbgghJkZd080sB4Qqji\nQMSxdkUU+pTRuIg0GDvkRBxn6bZdMarA1nbIi+SHX+ETdh5Nb6MT4zn2jJMnZjENZYcDjNL2\n7dUxnXgVBqvmyAiCOwg8X4UTDa+5ao2ydF61zd1YR3kvb4Ed/WSxCvpgzIkZ2qSC05jFABAT\njSl42jjbgXI0DkeHcXful+3gt8au40wcb2xGQXJU1n4ST2AlHScWw8qFh+tTqjmDGsPTNpjG\nlcUFjhLzMhUMI3QSRljMyw4D4/nJT36ywmjpEpgj8DpzOdKyrMYN8w98kB8YkxhpOPtlGR4T\n4rlGcOYomeWlV1555py5zukD+Adnm1M4zg0cLWioU5WP0OF5OhcSkGO2RblMOePKehkjeX6Y\nnMCZgBf49mikh8MCb6Ev+TOw+GA+2+fOfdkm8qFXMPAsIx34Cj6Ncx4ZqmwyX7zqTOBIQI8/\n5JTzjzlpPWAJL4JtNJrBkvHjiqNg/lgPepS/QQFHAZzBYNA8goY4Mad0VtxxGaQvKKtThL1D\nW8lPsM8sxDX1oc606h/1yD9NMoN8ylrlhsYl8ZG2zgZ0iMd5R6eVcjmWgT7v9kBuMtYRK4x5\ndEQ5rrQZvYsjCD8QcErEzncNKPvEkvaUdVPWjRLusYHKPM4/edF0xtd7yg4K2EwG8eF37FuU\nqczjEl/LU6e79038gZyCP5Gz8IeOLvMY2UkAK2QA+ei//XCRjzHmhJGfo6MM+cCwnMekNQX0\nCG/75iWFzHNsDULUGWU5dAiOF7oCmV4G+RtZYJu1rZraZd91gKHn3IW3wEA6ZV38RjfwPhA2\n9k4++eQ6C7uplnHuOoeaaBiHbqCtL3jBC4yad+VUkTuztNc6mvrseyDkTQmVc9Wj1HxaDXpu\n3CCfpG9ZF+p53JTHTqmDfhFcfMVe0GawXB+vzqthbRvqAOuA+ByXBFEgTFKMMFbd2t4Wav6u\nV8B1wGMZjHGUWRl0aMoy/HbVGKHall7S23vvvVfbQUBgMWn7EOgLwsRVwrJNKD6EHBNB5mXC\ncjyRF/L4XEhZDkViH1FGTiSEJgG6LjJAl/Eg4DBpQCA8VUgISuuvM3b8h+GMELCsq18UJw5l\nyluFt1rleJunC2nbzqIIhhB1gCECjFVPFGoTPY0CDMU4qVytBVd5i53CJhq0T0GFgm3L44ve\nEOTksc3gWjoNCjbwivTgeQJ9ivF1ZPjnsUTGL+bD+GNHhjgcK4weDBHzMAepE7nAGBAQpKaT\nn4ByIQ5lTMB4MA+/qSeOM3GDAnyIgSANjA8CNDT2NFwH0SnTwEuaMQ3FRx3sOjYpLN5QTGBc\ncYSl4TFgFgLgCxYJ/DYuWCMzcWzkq1jnsHv7zPxEBjDGKDScy1e96lUVTsnZZ59d78hjrNA2\n2mDbqJeg8ci9xh/jZj7ihwUdXAxcyjE36CeyhvFwTKTjs/E4sRwNjoF+QA/Z1tYGFr54l4Of\nqMKAi3npGw40R8doU6ncY33ee4yZsYq0THdXWIMSGcAcZw7g1OnkkP/rX/967aijv/gSQZS/\n0mu64ljyqM7TVr0Rl5M3OMQYfvC1Dp/lbA/yFjmOjMWYgx9sv3KBeOMszxVckPPwIqFN7tWJ\nq/55FA+ZWdKD73F+cZJZBKK96GPzqUPk9abxZfGUXULkBekGfhOifEKGMLbSN69XTxJgvJuH\nNsCLYIfOMt5FWxYdmKME5gDzAcMdPcaCu/lJh8fAj/4MO/4KruiIpkV7aJWB+cFctj7nKnLa\nRa2yDL/FFrlCWR0c8w6TieCjrlAnwMO2Qzpc4XfizYc8asqn/kDXwqM4IeRDHqHTtCkjbe5L\nrOBh5pw8ra5jDBgr2u1uJ3Q1zH30jXyxfW26N9oYnFaIZWiXi7jKUvmUhTDnEfkGBeazAXrW\noX0FP7mwIM6ljKM/8AW8qf0VaUEfOcxmB7JQ2tEmcIFafQyP0n/b4/Py9Aunj8U5bRfl5TCe\nsp9ceSEtQfrcyx/cl8E6WGCMZcxnXLQv7R860XTzc4UvGHvnClgjE0o7OZaJ9wcddFDt/Ion\n8t96Sj0Yy8V7yr72ta+to1ig4dRDyTu8w8jAHLMOeadtXlqGq8498odxQ74RkHfQY9wJ6DTp\n8xv5wQI6fMNGJwssvEcJuQnfoTOg3eZ3QKNPgb6rfwa1a6gDrHEvcBJzBYo3qE7K+YU2dJnc\nMGh0eBkgV8hsA1c7iqCMgfxM9mHpsQz3OB/8xcDk6UtwxReMokNm+3xOASFlukfSMc5dsTK/\nVwwLA9jp1LpyCY4qZbDWAIAvZDQEG2VdlLB+6Xa5sloLHcsi4BFsKDzjmMwIwFECNAiMJcYc\ndRAw2FGkKB3p1wk3/LP//Izp8CICCedUBcqRn5gn0lEwIQjb8ij82S0lj7jS5rIM7SUgoGKa\n/YwYxnZ4r1JnnGN5+AblQ7+tgzE2j0Ib/F0VpJ1lOkYOcRpLjKt5aAOKF+OFeuCtQYGxR1kh\niKWhbABPnS1kh+mD6HVJo5/INRYlUEAueFAWp4A/xhvFgNEAnhhhGmSsLNMWjkHrADNWyFMM\nx3HaKfbMMY58QQPjmJ1P8H7Tm95UH7vFkQIX8FJ+024NBQwo6xe7Udvk4gwOA7ToIzzB3JI2\ndRpwjnDacJjEyjTwZbemqZx52OHG+T3zzDPrqK1WLb6U+XlWmDnEMTJ37eEvdjFwEsGCNnJ8\njO9+eky0rW53jiir3GXhl7mM08Y8Uba+8pWvrHmB00MsnpRtsx9NVxyEE044oX6Pxite8Yr6\nmWcwwhmOdJB7yGCOgWMskwaujgG0XdCIczbWyVwCA3iR0Cb3LOOCJuMd20I6xh/vPIjvPYh5\nNLbJy3xlnsd04ukTTgcYx/w6Q5SzDHIGww3edv5Dw6BjxfhYBnkGbXS6ceR3Bxz57c46BiH4\nUIa5gp6LZXR82nSv7aAM44f8iOVNb7ryuUeC+Zm7BOgYV0cU/xhLQtSPMQv4DiqPzISPqYc/\nQjnWyh1lOvgTGP9Iu5Qv0CUgo8jH+Mu3dcKQf4wxc5bxI9gubVF0nGnMA3WfMli9pO61/bFa\n7BjikQHQYkMn9om8Ok7IANKiHVTmjbTjvdgSB36Wgzayl/HTmWLxB7lc6nYdZMrq7Jc8Cj/D\nn9oQ1BftCG0VdSUyDmcJ/Uq/GDOwYFeexUpkqc9v64iVupw6ugTnLHPb/pflXOxQv5Xp2vn0\nXxrqInjAuFiO+Qz+4CL/adOT1lQmlgcrjmWzIEBd4GQZxgi5AK7GxbLeewqGvOysgyUnaB0b\n8rHrbYhyWUeV+TWoDso6BynDjjuLIdSpPaKMxd6PtDixBD5sdDLneMSFly3Cq/gM5m2TM7a7\nL1f19bD23LjkOizn/2/vTOD2m8r1v9TPUKaMFRFOGQ4lJEMlCkmmMmcq4sgQUR9ChUSpkCYk\nQyJEp5xKaDSVSiHTQYQ/yZgpDur3f79b12O96937efZ+xv28+1qfz/vu/ey9xmutda/7Wvda\naxe8x7TeT0fnQyCIDBA3lQjwWkKRpoeAjf3zno6M8Md1ep95mib/NHOOMJDT3i0p4noeX0Wc\neSZLMPdq+HR6dS6EpWbs6cAIERxCRkQle9DFPzoonU7EkzgVfxfRtYIgxHASJrqSHgOnFMdW\ngH/foGDQmVKSxjOUcMgzs2xgHGOexiOFBnyKHModgp32ilN8IqJxOOU/xUZh1A7iMPG9FEwp\nDXpHfAhC6qAoDfnFKsfSVO2N4bnKqYFKA676osJCKMFWCrae512lgChu/GgwBU/VnYR7Xhzd\nPINQ4X45sVQydprJ5cA4lncxqGqmFQWKPiElTftRaS96FsdV5V5lRjkSedMkBKffM3vLCfzM\nMFN/IjlKQ4qC6obn6mdS6uS301UDt+pP5U8PwIrjYXClbcV40saQN1q+GPuP71HCaJvaa6py\nx35ExFgGLQdpZiAnTVYqsbyO+oMUa3KmKG1NetD/6Js4CK8shhpzwJq4eceBjd04FFb2OpMn\ntnjglL7io/2z+iX+xB9+qAMRIfV7yTuFTa96rz6evtdvtRW1HT0vc41xTeWUwjPe40Rk9Fxy\nUmMOzxWH2pz86pqXV4UR4ZVfZDcunvgVSQEbJgYldzKPHf7R57TXWZOreRP2HaJpvRbeTHa1\nc+hFOCl8cT9GjyrSmRSn2gFlF67q2/KjOhAeusbyGL/IJ8Yv+gOOsRFH2+7GaRJeY4jkp+qU\n/IrIgDV9QbiRnsZC5VPtI86Lxg4mrcAubg/yJxmpiQARahkB5K/dVZMz+InvkX2S65LXIppx\nWdK4FUYTmHqvMsbjuuQI7VK6hJ7pCg7gTN6YqOQkYhyfc5OLsdazKleVJy5/Gl4yGX00D1+V\nV+UnvNpDqmMobtqz2raeqd7VRvS86IoVmH4guSF/9DviEK56nl41KcP2HCysjEOs9JGujT6G\nbEePpL1KFhGPZIDwS+OOf6utIz/RS0gXfVJtF6yYaFEbU1itmmByFYduJ1cWI/kfp2vPBFgz\nUf0qNEJAB9BQiXQCZseZkVBFMGPFaWnq7CxbZv06pJdKx0oAcZMVoNP7fuW9DvHkKUB0Kgic\nDofIy6eEG+9iwRMTYGaS6DwMgCKmPNMgijJFnWjgykun0zNZXRBQ5IO0JOA6hW33XnFI4dOV\n57QrCcQ0DsofKxXxe2bGGBxRQkSW4vfxvTBRm43fcU85mb1FWUBxwQkL1Wn28N//JNBTZUV9\nJC9MXvh4oOR9XJfCKE1D8fAc4hUrWQwItBGVk0EVf5rdVliR1U4DB/41AAhDnuke3KRwCi/e\n98OpTjkNWo5lnyi7HOrELLm+Tc0zBjPKG5MzndQLrukkiuIse5UimkeA6YdabsYgC2ZSGBW/\nMFPd8Dzu3/JX5qo2oYkUDkjE6XTgvDg0uMYz3RqIY7KUF5Z2xUSLlFFNEsV+sbihAKi+INsc\nQkZ/YnkXCjlKBvXD7DufKsIVpa02imyMCTATDTgRHvZKMWveLfnNIpv4x4QK/URnUCh9vedK\n/5Yyo99cpTDR71EOYwWR96mjbYBLkdyTf/U9KVZ6XuYaywXJ3zRcJwKsNks4xSG5lMaldh2H\nkTxLV3VJkY0JjzAEY/oasqWMQ/5zUCYnGqO4azK5HwRYZLIoH7RxHP1fTuMHhEDEWO/Sazxe\nFI0paksiH8I5r03QrpRnxjNc0aqzNC/pb9WjJkckzzRmkV+wps+IPMZkW3WvePLqU2MHdcUk\nCbpl6iRzRHw1lom8pP7zfsekT30Kf2AqfGlz1KNkosqUF5/CpGXSb70nLHihp9PXNd5qrBQB\n5nks49ZYY41s1QSyTTJe7TpPLuXlMX1Gu6SMMRapH9U1enxeXagNxuXDOsuS4qLDKhmrGOfU\nbklT+pHaSJqP9Df+2F4EF0kdGBKfJqPS9/xmxRCOiRbGni233DLT9zSZyZhFeA5zpE8qf4RR\ne6lCgMGE8ZI2qhUuxIVjvNOkEr+RIUwaI1+11Y4tGUpPbQW/0829IDU7lIzGiBlff2qcCDk9\ni68domv7mg8xQzo4oIb9bXQcZmDksLLwzWE1aKwsHEDEUkBmV9i3d8ghh7SU5E7vFe90uMaD\nuMrDAIDSh8KGopbnJNx4Fwt2Kcia6ECAgTsdVIOnFBPSZtJCA05eOp2eSbgyMEnRKSuk2sWt\nPCpO4cRzOjhlltUhjgfLSjsCLL+yPul3ehUmeWng97TTTsusOCIJPIsHJ37HrkhZoTwQrViA\nxuF0r0FNyoSeC2vwURrCTn46XVGMKCcCHfIgJTcOp7JJAYnfpffCTAKZ98KTAV9KvOJMw3f7\nG6JDG4c8URbyykEWOO0LxgKMg1hp+VZMgBl8Od2XJby9Og36lFnWlVi5RGlhTykrPejnqQIl\n/CQ3yY/6d1EbL8qzlpVUMAAAQABJREFU2g1tBPKP7GfwFrHIC8fgSlvSYI8fKXtFJDSOh4Of\ncIwHkhPxe56jBNHmWDXEOMA4pQOjwA9SwAQpuKl9p9ZBxak0UA5RYJCBLFcWAZYFWJ+56pUA\nI4fYcydFqkx7lnKi/k6/VR9WOYqulAOc2vVBtRW1naK48p7TplQGTZik/lTvUnz1Xoq8+jnP\nJYckw+VXV8mJmJgpTEqANYEikkYcGhPArwoBhkSTNlgxiaGxNJ4AUB7LXkX2pPwWhRMBjomu\nxuq0zHlxaAyn7OBKuVNZwDOcyIdw1vM4XmSOCDAyiny1kwlx2PReda+2IZmjOqX/0nZjnGMC\nrLIpHrXlOJ147AAvyqi+JH8iwJp4EhGODQXyW3QVJuQlrtOYADNu03aVT7WBvDiFfayr4U91\nozLzjHiRE8ixuLy8U//kHbIAhwWYMKxIYXw45ZRTMmOE5ESMdxagwj/KVIYAE6XG0zh6tUGN\nhbyjXUAokf95Tu0llhvq62ojeeHSZ4wZeboM4wT9UHGm4fgtCzBklEkOzuxg0gUewzii05/R\n/8gTbUTtTu2hjAzGqgxnQt5qVZZWgCpfyFzajfLLqiraJyu0qHccMkDnPmmMUfjpdM1vMTkl\n3H///XOePn8aZd4LZnC6dTRoTsikESBA1dkVH5YZfWBdzzipjVlYwuQpAJ3eK55xv0p4px0b\n5ZMBCUVOClxcVg3aPIuFqpbWaVBEsDJ7xHOlIbwRrgwKsQISp1HmPhbIGnAUf5nwRX4Uhzq9\nlF+Eozo4+Y8HDuJiAJBCkcYt8oFQZ79eOydMNEDFfsH7xBNPzGayd91119YrhDx/GrRaLyZu\nlP9UsWQQoP+oHcRh4nsNyOkgK5wYLJSGBpA4fLt7BDUDKgMmA0Pe0iRZRzSototPA0BcN7oH\nT8WhttMurirvGAzWXnvtwP68X04soWV/JoSNyTjVN9igTLO6QrO8Uq6VFrKsH06DPkpAugRa\n8WP91Tf8UgKsNhgrYN0SYLU72ggz2rhddtlF2ci9MvAzUQSe7JvGYluFALPdhpO54wmGNCHi\n57v1zGhziAeOidHY0d8hwUxM0A+K2g1tDMyRd7LsIwsoO+0XxQUsmSBBFqQz7XGaZe8hwN/6\n1rcy5aQoX3FcksHICCY9mNhK21/sP75HWeJcCJbN81WHPKe2oraT56fdM/o+sqBIhkg2iOQo\nLsnJeOyP25z8xVfyinUuJoMo88jEdGk+8aIIyupFPJKZyEDeI7sYz0R44rTie+11JR3kBOXF\n9UIUpOxKTsfpxfeaLInLTBtlTCma2InDS94zLtKXhXHsR3JHkxKqm7w2wXiCnoF+wBVSKd0h\njrPMvdKVjBAB1pXlsuQFq5pcOwKsfMsv13jsWCJaFq9+hR8RXekjag+xnoS/dk71SJ3QXsCS\nNoYsj0kV9S6CmMrvOH5ZoUUI9U51FPcb3iHzOKhPlj/pPJIx4CACrJOCkY9sF+ELL4xh0oM0\nMag0q1wpHwasPCf9kbZM3ysiwLyv0qbUpmnjmhRSX4/rOS9PZZ5Jl8HAVGQIQTcAc+lbjC1H\nHnlk+MAHPpBNmjFRS19ETklWkl/ko9qDZEK7PCHTWPWEo80xwZfKPk060q9Ik/2/uNj4wm8m\njtkHXkaO4H8cXUcLMKDvu+++lf/6AQZppx25Xbx0Cgn0PH+d3ueFGbdnRR1bg0TRMuiYAEvg\nU/ZUQaY+RIolPNRhtZxM5KQb7CSQUSI0Y6f4u4lPYRSH4hQR5rkGgzyiSfmLhK0GW0hSrIAo\nzfiqdpw3CLNHkfywbEXCWmHBQ3WqZ1wpB4RCAjV+R73khYn9oCgzwBJH7NR/yI+wSvMU+8+7\np/4pp5RaKbmx37ie4+d59yLAscIl5YgBX/WmOPPi6PaZlkFD7hjE+Ozbxz/+8UnRYQVGGYJI\n4NoRtEkBK/6IlR6US8qb9jUGN5GZtG0IP+FJ8urfUu7KZom88McAC+GEALZb/qx4sRLjNOMt\n5VaDsvwVXTlBGkt3kVN9cRAYBJWtM+qncRj6CMv7IK+a9Y7f6x7lBkUMnHTgFe/YB0wfgpAj\nD3u1/io95AT7k1Gy8yYq5U/XWHZJpkkuy0/RFUsB/V8Hi+X5U1spo3zlhZdyL/mb+tF7KeZ6\nLzkZt2/FIbkkv7oSRm1cz1iWTF/hcLbUoehDmpW28EMGKl0RijRs/FsE+NBDD830FREJKcax\n37L36ruagCgKB1HAxeOPLGFS9ovC8lxthfEWhTlP1mvsEtlSm0ixJj7lm4kFsMvre/gr41QH\n0k0Ut/KoLQgxzkqP/qPwuqpNxWlrsgJSJ7y0ulH+ZImTjBQBjvUk+S26isRIzvGbukN2aCwj\nbNzP2hFgyCh/qhOlq/aqMus55cMoRVslDY0lGjMZQ2m36DqaQCMM8g3DErKI/EKG4jwq/rJX\nygSewjQOp7FAk8t5BJhxNsYrDl90L7mhCX38qa+r/ReFLfNcK5OKJroZJ9DHOHA1dqxWZcUW\nk5D0PcZGxiLJdOVRMqAq7vQXdJNUf1UbBG90dj7vRL2k4zdkXl8oiPM9ne47WoCZbeO7UHbj\ngYCIj4iMci0CTGdDoKUu3gMcz2xKQdbsXyxYJTzoPAy6/SbA6vBpWdK8l/mtQVPKk66dCDAD\nlAa8NB1m1jiwRqckpu/j3whtlE0pD3rHQICyThpYf1KHMGQgwJ8GYPwgzOmbeco79QJZY8CP\n6yuOG6GsmfT4ubBG+MYYxX463aMYMdhq2Y+U3DicBt643cXv43thpvbAO5WLMjJ7zYAev4/D\n93JP3YIx+DNYfe5zn5sSHYMMnzAQqRsUAdbAj9JGP+d7u3mOg8loH5x9EDvhIzx5l/bv2H+n\ne9qPlFMmCPLaYhoHgyzKOhZavukrpUeDcuq/6m+UYYiNSMhee+1VGAX9Ke5TeR5pp7K2xwoM\nCiHKAUvYcP0iwMTFcj7qrgyeUpZoD0WynzjzHGE5yZxJACYyRB5ivyhf5EMkKH5X5l59X/I3\nDYP8pe9qskzv8xR5lVUH5civruRVfvSMa6oA6h0TGuxHh6wxSSeFE/mp8pIPKdAKl15FgFFo\nSUvbJGJilobp9Ft9VcSpyL8IcDyRqfKK0BWF5bnKRhvHmpxXT5I7qhMRSWEUxy+SqsPqtEoq\n9lP2XjJeZElxK8/CPcZZbVjjGGmhmzC+xnJPeRABpt1I75EeIz9KX3qArlUIMAQHvIQvbVUT\nCMKX9FTv3Ku83Oc54lOd6L1+p3Wj8RbCHNeJrLn0PyaK6BPxZArLYLUUlrGil5Wd5FGknnad\n9lWNBYy5bCnKsxST/xgvlbvdVe1F/Ru/kpV61y58p3eM/0y8srWHP03CKpz0oLwVQnw9gNWs\ntAdZYKVXK4+8w8VtQ3F3c9VYy0QP5Jd2jzU6bTPEXWYStps81CXMZPNPXXLlfHSNgDq5OpEi\noiFDYosswDER0UBAWFl7NajGnURpoCAh2CFVOAn27EfFfxLUkBqVJR7MKkbX8o6yjpKgOGNy\nJ0EsS2Ir0MQNQl/kP37OPeXmtEQpeen79DcDugYovYM4UVbiEZ56x1XPJAz1rmi5Gu9VnjSM\nwqLoMAB1IsCaMdWgrfCdrlJctCQ4zwIspUUKSLs4pbgoXvzqHjypN5W5XTzdvKPsnC/AeQRf\n/epXp1jMiVMHYaGM0saW+PdSum7SaxdGfY/9trgioo2CwOfplC/FKcw0oPJcyp36t/yWuapd\nMDBD2so4FCCWPlMG6g2lBwLUD0VE6UsBwVIsa4LeVb1KQSRcagHmGf2IfcEste2nK0N+SU/t\nnn4k2SaZUSY/sl4UWYHpe8jzsvlJ0xQJUz7T9/xGPqQEWCRLbRZ/TOLStuND1HiOQzEnTJWx\nR0s9NVkiecl4o76mfDyfSv5/VhrQrikHk8sQYcaEuO3khyx+Ksw7EeCiJdDEXGbpotqKZLX6\ndJwzEQ6NXcIkD2uRNhFgEdI4vrL3qgP8c69xWHnU2BEvNUe5Rx6p3Skt2pHyrWdcFQd1pTAp\nARbR1WRZNwSYegQbkRhksKy3wpf86D33Iovc5znCKQ69Vxlj7HgnvYr7uF3qOZ/1YwtFLOPw\nGzvGCGEQP69yrzLltWtNbNEv6YN5FuBuCLDai3Q+8ou8YaxuJ5eqlEuTXnkT5CLA8QSq4gZ/\nDsJipZLGLfVJySPpP3HbUPhuriLAHOjFZwlJd+utt+4mqrEPYwI89lU4uQB0GjpKqtDyG8HC\nQBcTXEIjGKQI81sCn3sIIDOCmmGOFRJ1VPzFJDUVvrwv6yScGZgksPqhHJN/CJ/i5MozBiUJ\nQQmcOK9MAKRYxu+r3KMwSJgRjrj5disD+x577JEblQaomJxTVwwEEuxpQNVFHCb2w+CDwihl\nJX4nrFGmwYjZ86qCV/6lWOYRYNKhXUkBifOQ3gszxct7tTFIOrPrajdp2H78Zg8Ue7SL2gEz\n6qoLBpcif73mRYqSlv4VEeCidISflCT8aYKrG8VGZWaCQHkrSjt+rn1SWMxRRMpOIMVxtLtn\n7xqE9KCDDmrnrdS7uF3FymE8M95P62+pTEWeJIPp65JfehZ5K7zlSwko9Oz1yrPuoKjnEZ3C\nCJMXEGyWBrbDiPqHXNGP5dRG1c95Tj5ZJsiS5XQiF3lI/qvkVQRY+4CReZrMVboifcpXegUf\n8qO4eM+hQVdeeWVrzEzDlPlNPuiv8WRVXjhZgGOrnYiiCF1eOD3TWCFrm/q03nNlgoqxUmRL\n8jjWBeRfYwoH4+Fia6P8lL2qDvCveNN7fmsylXvyiRVO5xLwDNeOAFM+2g0TBuDeaQk0/nGx\nnpQ9aPOPMRfyJwIYE2DFR3DJaO7ll/s8l0eA1V5j7AgrPYJ76Tvckwb9SuNwvyfySCN2KlMe\nAdYkGGMoy7AxyqS6ajcEONZpyAuTRujBpNGvsZrVgEx8cQAlW2tip8mlPAsw/pDByAy1A/VJ\nyXOw4p22NsRxd3MvAkz89At91rGbuMY9jAnwuNdgkn8adZECxAw6A6YsSAqqZYwaZGKhAwGO\nhUQsWON0JGSIs4oSojzoSlg6OwJZFg0JBPnp9koeYwLMYM+ApwEhjzC2swBXzQfYSbEjLKf0\nIfRREuNZ7DheYawBincqQ4x5XhjhF7/jXpb6PAuw4hQBzlOI0vjS36p/KZZ5BBhFhUEZ63cn\nl6dwqR1qearqsFNcg3qPVROn/VODSEckU0pOVeVSCmusVNO+cXEfL5t3FEaUJw4YrOK0D5hv\n9CJrNCBXiaOdXxQNDgLrxzfqpTgik2KLGvdq5yyNH5WTfEDuS2HSszJ5ok2guCGHWHaYOvpe\nrJSn7zv9pp8yIaG2m+dfEyBSgPEjOak2q3Ai0jp5W8/VplP/ep93lQKsiTrwQyZCJhWP8pEX\nnmcKGxMHxpR+KKuQhXhSIC8PIsDIUzlkITJXZEPP866QZcZ9fR2iSN5Tf5I7YEIZ8+pUOoT2\nVVeVUXEeVQc8i8cq6kfp8C4mwPqdtln6al5dMq6qjzMJyDicWoBlHEDW4URUyhJgZBxylvpQ\nviA10rNiHOM6i++zhJN/hNOkhF6pjmLseKcypvf8jsfOeJKPd/12KpP6axy/LMDIVlbV4OLJ\nCNo6OMZ4xeGL7mOdRnGCfdxni8JWea4vQ7AtLp5MlAW4iACnaUh+S3/rVQan8dPHhSGHZhbp\nnmm46fj7Bak5HUvXsDIhqOksRYRR3/jiNMDYiQBLeY8Fe2oBjQWrOipxxWlKMYzTqHKPsGZg\nEtErGpSrxIlf8ojgY9DAcijBqHLEJBP/CFwEWTfWMcKnDlxIW8vWtOcl74AWhdXAJeWW552W\nJmtAi8MoPq4iwHm4MsijtIJ9jFEcvtO92gjhIVZx24jDUjbyKCUufhffiwDH7UppaICMLXVx\n2GHdsw8I14vC1ymvIv3yV9UCrFnkWBGUcierkeIuc2X/0uWXXz6JGJYJh+KB0nrVVVdl3vtN\ngMvkoawfKdcoLyj9ctzznUX2q6WfmZCfYVzpX5ABJu+kMBX1t6L8FC2DRvYzFkhpLwrf63NN\nkMUEuEiRZ/IEGZUSYLXpKnmFpNJf2fsIAUTmaSxQX0sJRlpW7UPttzJNOpCFPKIQ50GyM7YA\nc4q4TnaN/Rbdx+0lb0wgHHgIC7BG/sb9QXHHxJRxqEp9KA5dJeP5HcfL7zif6qM8L3LERR3H\nug33EFGNsYTFak47UHvimWSk9AARYRFY/LRzsnZShpgACk8RauKIxzj5LYobEkP9K3/4U79R\n+1VY6QT8jsvL73jsHEQ7Jg05tYe8iR30IcpPuUWAtTKB8MJL5E1xdrqqrUif1KRVvGqjUxxl\n3oMdW6WQCXwzWA4LMJinbVjv06v6o/Q32o9wS/12+5tJSf7yzgPqNs5xDGcCPI61VpBndRgN\n4qm3IgKs/b9SqGPBnlpAY8Eap6NOS5qxnzQPZX4jLOj0KETMbMezv2XCF/kR4YU0UUb9Jn4I\ngPBTeFnHuiEHiiO+akDX4KpZcllAYr+618AVk/NOBFh1kZZHcWrwKcKV8GDPwCqMFLbMNRbW\nzC7mKUrEw8DLBEOe5T1ORwQ4jhfFHwVWdSSc4nDDvF9//fXDEhN7f9dee+2BJRsP/JS/G+II\nhrFSLfyk3FXJPHnodvZYy6BJr5tyVMlnL36lHOZZRlg6dvbZZ/cSfV/CIoe7XQJNBmizKIl8\nN1mTczxXO4mVcp7320n+xQRYMlIyU2nSB8gvMlxbAXgnGVE1r9QrRJ+li4wJkp1KV/lQ+ulV\nyvQgiAN9FdImxT9Nm9+qr5gAk3cp/Xlh0mcqM8+LwoG78gHWwieNK1bye50MjPWIdKxSPpFb\nZcYo5VcEkXxr3IkJoZaNa2IVfyLNkpEiwHqO/sQqEB2CSJjYxQRY7ZO+JTxjuR6T3vg+jk/3\nCqd4eK7yxdjxXHKM+7i8/NbYCaa65/kgnNqHZIvSQA+g/2uVjQhwvA9Y5VS5FbbTVW1HE4Sa\ntOo3ASYffDEHd9JJJ2VXjA3oYWWtvwSSXk04+jd1Gus+WcQ9/uPQq6JTq3uMeqyCmwCPVXW1\nz6xmuNSBUt8MSAiP1AIsAiwLcEqAUXTlJFghphqEeBcPQhLyClP1KmHN8lbSiJd3VY0r9q88\ncmgJTr+5R/BrQOQ3TvsjB0WApfDJAvJ8qpP/a0CKyWwnApwXJo5VFmANRvE77lGINLjHdZz6\nK/otZYP3Um7z/KqeY3Kf50/KbRwv/uLf6aCeF88gn3HYC/v+dJDFINKKB34UhG76BX1TeJJH\ntfG4jw8i72mc40KA2dt14IEH5p7QnpZpVL/p78hsLd0skv9F+UO+cVgYckGyBb9qJ/1WvtJ8\nSEZIHvJexFPjTRxGS85jK7DyGsuEOEzRvYgrJ7HihJ36mghFUXjGEib48g64KQpT9rkIkAhU\nXrg8C3Cev3bPVGb8FMl76kFYUDdFOMdjSi8HYJGXuO7jeON8agzhWTsnnUTtBL8ad+Kxg0lM\nnPoS90wSIh81kZsSYFaysCedLR15ThPO1Kf6EnUqPSvPAkyfVBvMi5Nnei9iyLOifkO9all+\nXF7CCMO8ST7e99MVtWm2QjEWaTK0HQGO8SqTN8pN+5F+PMhJK0j1m9/85sAeeLYaav9vFflA\nvfKHzqeJArWbMuW1n/IImACXx6r2PkWS4gEtzjQKM8v1EO4SyryXJVIWYJEf3iGUYgKogQ/y\nGCvgMZnUYEP4bpwIHLPfcbzdxBWH0Uy3BGAcN5ghIDWjTrh+kwPhokFKuEsBjPOqe2ERk3MJ\n8jj/8s9V9a/2EL/jXkquZkbT98KJ50VppGHi3yonz9qRew3EmoCJ44jvpbTE8fI+VpAUVxxu\nut3T32SFUF+tWkYUEJQv7VHS8rm4j1eNsxv/LB1WmlJ6uoln0GHII5+VqjKDP+g8pfGr7bPn\nnvaR9pPUf95vER9NjuFHylc38eWlUfRM8k/yEH+QLayaIhtxWFZbUC8xAZZMraooygokAizZ\np3FO8cbp656xAsyZOK6qlCuOdleRvk4EWMSsXVzt3mm8wI/aQeofWct4CBmkborahPJM+F4t\nwKoD4krHKuWzzPJnwiuuuD7LEmD0Icld4lKbFIHVORS/+c1veD3Fqf6QvcKnkwVYRHFKZNED\njX8xAeY+HifknTYiXULyQu/0W5NBej6Iq/pnrH+SjraDaSwQAe7HEmjip71Ib8ICTPuV3OF9\nP53OxOAgNj4vh6s6ftAnsVhL9xFu/cyn45o4NM8gTB8ERJI0iOeVTN8Djq3A6R7gWKCiIMfW\nIQndeNAknThN+clLv8wzzUim8ZYJ286PyFyRBRiFRstkiKff5CAdhLF4gFW7wY48M6BpsCZf\nIrBSAngWO8Iw4BURYCm5qVKhOOK6LEpDfvOusXLUjgCLxMWKbF58DJaUJ21X8W8N4nnhp9Mz\nzfp3q1zSNrAaSQHpZQl0L7hSd3ymCKdlh73E1+SwksXI7bjvVsFE/VxKImGHpXwh7yG7qQVY\n8jItB/KFCRT27uqAGZH1ojBpHPotq5c+2yP8FE88FiqMrkwkQ4IGRRyk9IpAKd34ypgVL3+O\n35W9V5nxr3aQhpXckY4hfFJ/8VjWqwU4TkPEUekpn2W3YCiuTgRYsiheAo0ekEeAZSgQAWa8\njQmb8qr6owwaG3mmtiVs8a86T8uruOKrwike3lE+pRH75b6IAItsSjdMw/Xzt8ql/qq4UwLM\n+EB+6WNyKqfKredlrrQXMGfco2418VUmbFU/+gza97///cDnpXBVLMD4p0+ip0keq13wzq5/\nCJgA9w/LkcckwiOFKC9D2gd87bXXtl5DgBFMGlQ0s4kHZn3LEGCRS8IUCWDelXES1PiNB+cy\nYdv5UR7zLMBKUwM88fTbAqxBWIolFo9Os5CQX/KtuiVfIsAqD89ih0JEXTKoaIlc/L4TAY7j\nje/jONrdx/XfjgDz7TsGIj7BUjR7zsmQ7PXjoLDU0iE8yUvTCLAmD9rVQ9479XG1IRHguI/n\nhRvEMz4vRd0XTcQMIs3pGKdkF2VrJ/vblV11INmAXympcX9uF0e375BXWPKkBBMPinzcv9O4\n02XQkqlV80q6kDb1A403mlyLCVOaB40jgyLAIpOqhzR9fiPf+0mA1Q7StEQ6NBFbVDciOITv\ndpJOaStNfqf5khyragFWOyFOlSUeO7QEOibAqQVY1n4RYCZi5HSwn35zVZ+iPlWn5COP0Ino\nyF8cT3ovfBQP79v1G/anHnLIIa2l04qPz/BA1N7znvfo0cCuKp8mYJVQfAK0nkHMWRqt8umq\ncstfmav0GA5txA2SAKOzfeADH8hkygUXXJCl140FmIDaAy3cssj8r28ImAD3DcrRR6TZonZK\nkE6r/fnPf97KMEKGmVQt7ZFgxwOKgZYq8lsDnxQFnuHi3/Lz/Jvq/2MLsARX9VimhlAeZTWI\n45YSGRNNKUVx+afGWv6JcGEJGXUFzp0IMLEzQJMvLVsVeZESkJcD9lgS5rzzzpvyWoNPqlTI\no3Did7s05D+9xkpoOwKM4vaZz3wmC37wwQfnkvUzzjgjK/eOO+6YJtNqi8zOl1EYpkQwhg80\n+HdLgNXmJSvUxkdBgGkbq6+++hjWQr2yHMv7+L5KLtXPJVsIK7IwDOULhZS0ZQVGkRcJzSsH\nVhbkMoeQsVVGeY1lT164vGeyAvNO+Clt7XvNC6eVRIMmwLIg5uUBAozC3YuTvKeetU80jU94\niDRqLEv9IdN5h5wqa51N49BvyiWyGRNr3ivPZcZP/Cu/8YSGPsEXE2AwwG+8HB8LsHQj4pI1\nmPGbMRkLsORn3kSu6o8xChwpV2wBVhmJW+23zHimsUDEkPC0Vz3nd+zYOrDHHnvEj1r3kM10\ngrn1so83Klc6qaPJLy2BJklZpmUFVjmLytcumxr3Lr300szboPqs8rDtttu22i7tS+XW+05X\ntW+tLhiGDO6Up+n4vjfJOR0RGeMyibxpEM8rCuSSb5byzUcsvyz5RQlmJlWCWBZgWUAl8IlP\n5DRVwCVg8KPBhvtuXDwgSRB0E08aRnlUufQbfyLAg7QAa3BDWZOi144gKv/UJ3nWTLLIi5RW\n+Yuv+++/f6bM8E06kRy9VzxFBDjGJb5X+E7XuP47KSgQID7DgjXl1FNPnRQ1isd3vvOdbFnY\nZpttNukdP6SUxe1liqdp9kCDf9r/yhZT9ak2pLYR9/GycdlfPRCI5X18XyV3kgWSDYSV4i65\nVSW+qn71HW3GJUgFym4sR9L4yO8WW2yRWY1/8IMf9I0Aa7xRP4sJU5qHQZ4mS1pSelUPafr8\n7ocFWG2m3XgiPESA27UJPq+y3Xbb5WW38jO1gZQAswKAz7CVtVoqnrg+VZZ0/EAXis+laLcE\nGh0Kfemtb31rNh61I8CUAZIJdhBA6VnCFnBIm8kgDlLq5DT+iRjiv1O/6RTnoN9TViau0jYt\nAqxToMmHCLCsoCpnjFfZ/Kpt/+pXv8qCxJNeZeOo4o+63nzzzbMgVZc/E0h9UkvqJQuq5MF+\nOyNgAtwZo7HxoRlNDeJFGd9oo42yV3z2Qvt/ma1FCUZAywIsohhbQNnXwzKfvffee1L0CHXN\ngrYbHCcFKvgRD0hS2Au8VnosIahAcdwSOBoU8aPyq1wK1+1VA1ZMgDsRRNKSANVBLVhKmJFu\nNxAwkPCNN2aysaLGDiWXmX4pBfE77uP2k2KW+s37HQvrMlaAT3ziE5nywGdl4j3YtE/KuuWW\nW+aWVXjG7SUvP9Pp2U477ZSdSFx1RlkYqD5l6RMBjvu4/Po6HgjE7T/uu1Vyn7YLwoosxP25\nSpxV/GplEntxZXUtkk+Kd88998zGq6985Ss9EeDYGqRxQGkrL0ozvkKAwaaMDI/Dlb0X6UvJ\nQhy+H3uAVWa1gTh+3QsPTRDrt97HV4jpYYcdFj/q+l7paIJGESH7OWyobNuUTqI2TTyUhUn/\nNA7GLMipcE8JMDoS4y9+RFAYo2nDELmYPJOOVlypPpHdxJ1HgImXzyl96EMfImhbp/FfbRSC\nyOSRxsW2gUf4EryFrbLBEmjqOM67vkoijPPwUvhOV+l6OpV5kEuglZddd90104nf9KY36VHp\nq/qkLcClIevKowlwV7DVMxCdm8FYltyiXPKxblxKgHkmwc59kXLMMpW8fUcoX5DFXpVpBiuV\nQYKL/PTqELDxcrE4bimRsqKTVlH5u82HBmEGLC2xKqM8YenAnXPOOdkV8tJOWck8Tfxjzw84\nfulLX2rto+EdBDhVKBSGa6xExxjFftrdS2khLO2pkwN7LNZMDOy2224txftb3/pWFjRv+TMv\nlI6s953SmQ7vt9lmm8CEQbdO9SkLMModrl+TPN3my+G6R0DKEjHEfbdKjJInsQVYyxQlt6rE\nV9Uvn5tiUg4CLJISK8N58aEgM5nLuHfRRRdlXiQT8vwXPdMEI+/VP5S2yEUcFqvr+eefn63i\nGaQiLWKWkoU0L3ljceyn0z3yF9xEOPL8i2xpgrgbnPPi7fRM9dBuvOoUB++VXy2V5xllyRs7\ntK8YIiv5mK6QYVzDUCCCwoqc1VZbjWinnGeh+tOkJVf6Vi8WTdKRjqR41G9UVvzU0TERIEzI\nH/0JQ0y8/JnnSySfpFI51RbxU9ZJvuGfdIaBEcaiP/zhD+EjH/lI2Wy2/Emmi/xLFrQ8+KYv\nCJgA9wXG0UfCoQ3MNPKZo04OAc+SM5SNq6++OvMuSx1CVTNtIoCp8C+Kf9111w3veMc7il5X\neq6l1t0qdHmJQX41C8ssbjyoaiDUDDfhVf5+kQMJ3dgCXGYJNBaK5ZdfPrB/hUG5LAGmTLvs\nsktmVf3GN77RgoTwwqH1MLqJMY8HjshL21twhtiT57Lugx/8YKD9sIQMws9hFSyHXHPNNUPR\naaJSjtRWyqbVZH9S8EWA1cbL9vEmY1fXstNHRYKkOFXNq/q5VgYQXmRhGMoX4w7ygn21ksGS\nl+3Kstdee2Wvle9u8qrlkMgTkQrIOH0iJcBs02DsZAUUY0je1ox2+a3yToQpJgtp+H7sAaac\nfLeUQ+mKnEiHCPAwJkXIC+2SCfV241VRnuPnakuqT4gt+lLe2KFnMQFOJ3JFgHUAVjsCLAuw\n6hPs2LcuGaw2F+e3zL3qRMRQZdPzMnGMwg99FNnC6gUcONOOUwLMhAy6lw4WUzm7KZ/GPdKL\nV3zwe5CO9oucqOqkg6lOu5FrVdNson8T4GlS69ddd11WkjIEGI+yAn/729/OwmnWE2GsJdBS\njstadD/72c8Gvn3WDyeLbCy4+hGvBAvkV0oj8UpxlPLFs6rlJ0w7p0GYmdoqFmDi3HrrrbMB\n47TTTssGz7K4cOgFwvPrX/96NuBTJiY4pPDm5VdCm3BFh6LkhYufccgaeS3rSOeUU07J9nTR\nlrF04t7//vdn17x/wlOTF3l+/GwyAmo3Ur5Y5g/23QzSk2P2r1EhQN1JfulaNS8iGKOyAJNf\niCVKsbZ6qH+3Kwunw6+99totL2XCtDz/+wY5xyRbuq8eQiyrGl4vvvjibNktk83sc2VCki0J\ng3JSemWJz0unH0ugiZf6bzfOi3SIAHeDc17+Oz3jDAv2eLfLW6c4eK/8alJH5ZCeEcchY0BM\ngNMJQhFgWYA58ZovbMSETXEygUH60jdEhIkfJ2zlv+xVE8AihiJLKmvZeIbtj/KzVFt1kbf/\nlzyhi66zzjrZMnO+BKFydoOXxj3iHeSqDeLvh0vluGRBP+J2HC8gMOOFW98VISBCUPR+FM8R\nyHGn1snGb3nLWyY9L8rbDjvsED71qU+1lqIwK0Z8CE8EM/dShngWp1UUZz+fc6gEigaEPp19\n7SUdZnfBCtKUlgkhQ5n1XOkisPWsl7S13BkSypIfiAe4x8uyi+LHknv44YcHLQumHGXyhJ/9\n9tsvHHrooRkh1SmQDPztwhM/kwSpn3gQZxArcmm4In/p87POOivss88+4aSTTspm5zlMpYiE\na6aeTwx0m16a/qB/Q1ao71HlV20NxZ48YIlAaRtVfqriDX60wXHJb9XydeufCUzOgEARb4cN\nfUkKaJoWz1HWFV4ToUtMLEUchgLGyfVMoF555ZVZ1lAClZc0r/FvtgT88pe/zPYPpopj7K/d\nPVYm2lasXFNmSIXyoIMLTzzxxMD4OWgnghPnIU0TGQw5VB7T9/36LVmrLUK0t27SrNp3u0kj\nr8w6XImxlzilL/Hd3zQNfbIGy62ss1htY3/UDST6LxPfqUU/1Col9nvqUzvyzwQGfvRbbVRY\noheUsahrHCQunIwWTIIQt8ZmJvmVVh4Wo36m8tPfyKf0TFZipPlm/Gd7wyWXXNKyGHfT9uLl\n/dRRms6oMUnTTyd88tppGmYYv8dFV2BFQRlnAlwCJS1hKeF14F4Qcgg4BHk8M6xlInR0CZR2\nmWGgRxCw9AmHQCccHY+ZNu4loBFUZeJsl17Vd+wJ5Q9rpZZkV40jzz9KHo4Z77RMDELUtZ7r\nSmfSfV6cZZ9pyQ/L9Tj0gZnmdsvb4nip9/XWWy9ceOGF2WPyWjZPKGscFMOfDpthUqNdeD4v\ngrBL/RCOtsLsrQ4Ji/PZj3uIPvvyEPqaJc6Ll0+hQOyZLEnzmee/Ds/AlMmrduUaZD5RmGlL\nkCUwo2/l1fMg89BL3ChP9KNxqe9eylolLAQFOS05XhQW+QehYuIjdchEDqETtlpWjF89S8P0\n87eWIotA0E7LpMvSaT7x0o98as8n5WICVP2E39qPB2Epky/C9Orom6zWKEpPKziK3veavsJr\nsrMXnYD2yaTqoPOqPMdXKcS0adK/9dZbs9d5eoAme6hvWYqZOIzzTb0gOxnHV1llldY77mm/\nkLZ3vetdWRqEg1QrvCbWdWgpbS6vP8b55568Mnago1AfaZlkUYYoK600jjr81iQTll/KxD5Z\nHMQ2zTenYYMX55/oZOxu+rkmD0iHyZA0HZ7XzVHXkkfU9yjzTPtn7EXelNVZR4kn+dXkVbt8\nmAC3Q+ff70RcSngduBcGERwdIs7Xn/70p2zfJQIlft4uQyyDhgAzKNHZCIdwQsDQ0CHZOIRH\n2TjbpVeHd5r5YxY1LRPkDqGs5xI+/So/yimOQRVhhsKntMpgw7I7EWDqrGxYBAF71rD4Qy5x\nKMLtwmtGO/UjRYjn6bsyZSjrh+/o4dqlQVvn0KxO/jIPNfkX4zeqLNH2UarBlj6OMtcO51Hl\ns12645bfdmXpx7sjjzwycCoyMqYTNunYofRpFyj0yH8UCCZYmWjDv9qt/A7iigLMnxT5MmVR\nPrTdolPZ5b/MlfEAKzhjIWQ8/mJCP9NplxdZ5YvS4zl1VfS+XdxV3qXKJHpC1TSlu1QNVyWf\nRX6VfyYeSV+ki8mMND9aFk19axVEKiPRl3D0C5bOKw4dhMUqBiZoMSbQfuLxVgSbMMQLLgpf\nlP/4OX5JV0SaNHim5frd1E0c/6DvVX50IPKtc2jYzpDiQL2xMuTHP/5xa6Ucz1J/nfJMGOoM\nrJeYWNFSNXyn+AfxHkMXW+VE5uqQZ9pdHfLRCW/Jmk7+vAe4E0Jj8P4vE8twmJUpu/9XReJb\nejSU+CAmCVVmN0WAEdLTxYkA6xqXC4VHgwnPGbhw/So/2EKmtfwqxj1LqMM/DhhTvnXtEKT1\nmpOUsTgzUYKDQNs1EwGIjqx7IsDNRGL6lBqlfeWVV+6pQMgEFByteIIAS1ntKeIKgfU9YIIg\nj0fplL72VkKIGC8h6cNyIsBF6WEFhJwP2mnyVumUWbIrv3W4ghEkCJLIxDYWRdp23qGd9APG\naiZiNAlO2NjFv+O946ywYoy/4oorMu+yllGPcnGfkjVU76pcFRadBScCnNZVlTiH4VdYIF9o\nv5z5wdYNPU/zsMkmm2SP0HNxMfbZg5L/WCXCd6MhlOPgtFQ8bi/jkO9xyuN4tIRxQnQEea16\nAJayyLI5lsViGZSTcGHms4kEGByk8Ayi/ChVWtKtPcHCvtOVgfW9731v5k2HeXUKo/fMfvJZ\nJDkTYCHRvCuTJ7RBFCcT4ObVf1GJmRjBaXIEa9mwiU6dCLAIhsYDrDFMNPRrQrSoHuLnkAKI\njZa7xu+45/kwFPqUVA27XaTl7uY3eQZLfV+eFVWq4zQ+dCOWKIsAy+IrfzIU8DsmwODEMmi+\nEc12AhHgeLyNiV5R+kqn3VV1ovapq563CzvKdyo/E2033XRTNhZxgFiR4+sQ0kvx0y1mHPjK\nYaDj4kyAB19TJsCDx3jgKYgA8y3Fqo4ZMe2tIKwEe2wBTjfkV02jTv7ZV4rToRhx3jRwaCZV\nFuB+ll9pkG5VAkyYD3/4w+Fzn/tctiyI31UcJyuz/AcXD8jZA/9rDAIx0TEBbky1dyyoZAJL\nE1kGzRgwbOuDziggs7Gs7Jj5AXiQBVgEFELUjczuJWsiC/F5H3F8w7IAp6Rj1HUTY1D2nvqk\nLk8//fQsSNH35XmJlR/yqn2XKQGOCRnWy9i97W1vy37+6le/aq2mUD3yIu5TKa5xPJ3ulQdZ\ngHVVu+0UflTvhQVt+o9//GOWjXarV8CI809wrMBQubMH0/ifCfDgK9cEePAYDzyFa6+9NkuD\nPRS9OgkXlB8RwGHOePea/07hOVYfvJj9TZ0GjpQA97P88cx51SXQ5BfrHYdaaaIiLUO731iQ\njzjiiLDCCitUXi7fLl6/Gy8EtHweS58J8HjV3SBzG0+MiHDF8mqQaStuDrSSbJM81rthX0Xy\nIBZ8Hg+ymX6rdNB5islCXlrsxxvGEuiYqGk5cV5+6vyM9gSp/f3vfx/4WkZKXOO8a5m7lt2m\nBFhtFOu7JtUVfq211spu+UyWLMCqR17E99K3FLbKlbTJh4iv9Ba12ypxDdOvyo8FWHux21mA\nyZuWQfeC1zDL2I+0tMovnjDpR7yO4wUETIBfwGJs73QAlhSYXgoiARMvge6nBbSXvPUrLEpW\n3rIxKXsaSLQEup/lVxqUZdjWBNLkQAm+ZzmKtEnfbvQIiABzoitKfT8neEZfOuegWwQ0fmD1\n0inlw1a+kLVayTRqAqz0GQ90ANawCbCs8vpud1q3w7IAx6QqHsPS/NT5t+qTPHb6fnNZAgz5\nTeUn7ReSBwHWfnoObJSL8YsnFvS+ypXw40qAmRyAAEPi+RxkO4feQhuM67Cd/+nwzgR48LXo\nU6AHj/FAU2CGktl6ZjT74TSziVCdjhbgdhhpkBcBHkT5lQb56MYC3C7/fmcEyiAgAqzTdlMF\nrkwc9jP9EBABZmXAqCzAoLr99ttnJ7bmbVMZJuoiJ+yt1L7oYU8c6kRifTInLT8EOG8yN/XX\n628soFh+SS8ew3qNd5jhRTzBlBOa2zkR4DvuuCPzJr1IYfQ73v+rd+DEtjJOLtbnKWX1xE98\nL4ODwla90ka191fXutePys93tW+77bbAvn9Wp7Vz4M15NeNwAnG7clR55yXQVdDqzq8twN3h\nVptQWv6sWfNeMyaBHO8BboqCrNlFEWAdgDEICzAkRINor3Xm8EagCgImwFXQao5fWRtHaQEG\n7c033zzwHXKNRaOqgXg80GTRsC3AImL6Hm2KBad2D2MJNOlqQkBEMs1L3X+rPplg6US4hHvR\nEmi1zTwCDA5rr712BsdPfvKT7CrSx494VYUwzTx18Y/wsgCLAKucXUQ3lCAq/69//evs1PlO\ny5+VKSYt9G1lPZvO14UXXjgrXtx2pnN5R1E2E+BRoN7HNHUAVtVPIBVlQYJ9Oi+BLiq7BnYR\nYFmAB0GAh21JKCqznzcPAVn6pNSn+9uah4hLDAJqF6O2ANelNmRJg2BwAjRu2AS4nQUYayxu\nWARYeNSdYGWg5PzjoCXwhAB3ciLAWvqeykhNXhcRYO0DLloCre+USt/qlJ+i9xBgjBU4EWDV\nU1GYUT8XARZxb3cA1qjzOsr0wWXvvfcO73vf+0aZjWmdtgnwmFdvvwmwBHt8CFYq/MccssLs\na2BPCXA/LeAanLz8ubAa/GLACMgCrGWV/ZzgGXDWHf0AEaiLBXiARawUdTweiAgNe+KSz/Hg\n1FfjAogAD2MJNOlq7BIucV7G4f4DH/hAduqwJhXa5VkEGAs7LtWBOOmZfakcqpnnWL6vLy7w\nPrbiQX412d6rBZg6IY/oayLAvcaZV55+PmPCRuUnXhPgfHRpcx//+MfDMsssk+/BT3tGoP3C\n+56jdwSDRmCNNdYI7BWQ8tJrepqRxAI8iCXAveZvkOE1wIsA6xCsfhJgCf5hK1KDxM1xjxcC\nIsBS6vvZvscLCec2RkBjiC3Az6Oi8QBiwWoJiMsiiyzSsrjF2A3qXgQ4bwm0CPCwLcAawwZV\n5jrEi04FrsI4JcB8SYHvyrZzkGQtoY4PwSIMVlD22fdKVhUeayp6C/rbsCZE2pW90zvKz0F7\nHPRkXagTWn4/KARsAR4UskOKd7/99gtf+9rX+pZangW4KRYizWxrJlVLoPtJEJSGhX7fmqwj\nqoiAiI6sSqlyVzE6e58mCCDnIH0Q4FGdAl0nKEWAIRZMFrEnb9hjIWQTUqPtCjE+OhBoWARY\nk+Maw+K8TLd7SKQmHyib9KIq5dQyaMJo2a/CyyIsAqvnVa8KDwFGbxmXutGEgK2/VWvc/vuJ\ngAlwP9GcBnFpkIsPwWqKgqzBQxbgQVjAOawMRepNb3rTNGgtLsI4IoASLwsE+e/nBM844uE8\nv4AA+4BtAX4eDxFgLHV8B3hU21ZYjlsnC7DGyRdazfS80zJoSteNDsSXObTcN52kECGWvtUt\ngikBVpvtNr5hhVP5yx6ANax8OZ1mIeAl0M2q746llUBmCbRmmIc9690xkwPyoIFd1o/nnnsu\nS6mf5WfJ+jXXXDOgEjhaI1AOAZZB61M3JsDlMGuCL1YHcOCT2oYU1SaUPS2jxoPbb789GwtH\nRYDZs0oemJTW+ExetTx3WEteRbaasAQafGMLcDcEGJy222671uckiVNO/UqY6nnVqwivlkCP\nqo1WzbctwFURs/9BIGACPAhUxzhOLfVhsNVJhU1RkKXwyAI8iCXQY9w0nPVphAAEWN+4bEr/\nnkbVN7CiYAFm4pNvdOKaQnbyABW5uPXWW7PX7P8dhRMRY8vCkksu2cqCJqhT62LLQ59vhIfG\nyT5HX7voerUAU6DPfvazueXqFwEWgea0afQV1VFuojV6yGeimGhbZZVVapQrZ6VpCHgJdNNq\nvEN5JVAhwE0jgBrYtQd4EEugO8Dv10ZgKAjokzckZgI8FMjHIhG1izvvvDPLrxT1sch8nzMp\nMsGScNyorGsiwOkyaFmATYD7XPH/ji6e8JBhoF8p9WsPsFYEPPDAA1nW1Gb7lc9BxbPDDjsE\nvpEsfXNQ6TheI9AOAVuA26HTwHcSqCyB1icA+rkEuM6QShhrCXTTJgDqXDfOW38R0EnQxGoC\n3F9sxzk2EWBZgDUpOM5l6jbvjIUsL5aldVQEWJ/t0aF1Ko8I8LCWQItcNaVN9MMCrLpKr1oC\n3CuW0lnYo45THaXp+bcRMAJTETABnopJo59oprOJS6BRJBhAtARan0FqygRAoxt+wwpvAtyw\nCi9ZXJ0QDrlCOR8WuSqZvaF7g2BoPIgtgsPMSF0swJIZfCKoCU64U1bpRf0q91ZbbZVtMVt9\n9dV7ilKEVxbgXgl1T5lxYCMwZgjUlgBjhbviiiuyzzGsttpqgQ+Lt3MM2BwudOONN4Zll102\nrLrqqpO8E5eWturFcsstFxZbbDH99HUCgdgCPGPG882jSRYiBhC1E1mATYDdNaYbArL0Ua4m\n9e/pVo/9Lk/cLpq8/Fm4Mh6IAI/aApx+CkmW6WEtgd5pp53C61//+tAraRO2db/GEx7dHILV\nrnx8BvEjH/lIOy+l3skCLAIsQlwqsD0ZgYYjUEsCzOEsu+yyS1hqqaWyfTcnnnhiOOKIIwoF\nL+R39913z76Vx9Hz5557blhnnXUC38jF8f6Tn/xkdqCHSB3Pd9ttNxNggIicZjqxAEvoN4kA\novBoMIEAU3YdBhbB5FsjMNYIyJpDIdTPx7pAznxfEJAFmMiafACWwJRFDUt4bBHU+2FctRS3\naA/wsKz0yImmkF/qVUvPua/rJKEIsJdAU0t2RqAaArUkwEcddVTYZJNNwj777JORj9NPPz0c\ne+yx4eyzz84lIxBeZmnPOeecbAkrB3iwyf7d7353WGaZZcLdd98dWM76zW9+M8SKXzWomuFb\nFmAIsIRrXYX/IGoEhecvf/lLFjVtpknkfxB4Os56IhDLwSb173rWRn1yZQvw5LrQGMi32+PJ\n88m+BvuLtHFFe4CHZQEebCnrFztjP8u9dSZI/XIYWjqaCXAda8d5qjsCtTsF+qGHHgo33XRT\n2HTTTVtkd6ONNgr33ntvtrw5D9DLL788rLfeeq0DAF796leHFVZYIVxyySWZdz5jsOCCC5r8\n5oGXPGMwRfBzCFYT98BCgFkxwHf1sACbHCQNxD+nBQIx0fEkz7So0r4UwhbgyTDKAhwvh53s\nY/C/WJXFoUkpAR72EujBl7R+KayxxhrZsu/65ez5HGnJ84MPPpg9UHuta36dLyNQJwRqZwGW\nkI8HHKwVEBFmuZZffvkp+LE3JvaPB35rVuy2227LlnMdc8wx2b5iBvkdd9wxrLXWWlPiOv74\n48Mpp5wy6fmVV17Z90MQJiXQxQ8stVqu3EXwtkGIG/Krpb/sk5agbRtwTF5Srnh5U5xtWcaY\n+YcIs+yryG8crin3ahMxgWpK2ftRTuE3qL5bNo+sjJHDwjQubRz8mKQbl/wK47pcwQ+ZphP+\n03w999xzrUfj1C5ame7zjeQc39/Vp2sgGcMmGuwZRY+J2730G/ISP+8zBH2NjvY3Lnml4P/9\n3//d1/L3EpnGDq0IIC6dYcN3gHEslx8nfLNMD+mf8PPWju4BR28Zh/al83s6lbR2BBgyywDN\nX+xotI888kj8KLtnwGb2Kz2wg9+33HJL5ocr3/Jbeumlw5prrhkuvPDCcPDBB4ejjz46MMMX\nOwY5CRU9Z6YVMlQXx54fFJhB5QnyhwUUKzAOhXNQaY0CU5ayFZVHig0DCt8BZuKlyO8o8j7q\nNGl7tAf6RJESPeo81jl9BmEwHHWbkmIPVliAR52fsnWmZajjkt+y5RqWv059V59nIT+MuU3H\nWeMBB2Ah8zT2yvo6rHqD2Fx//fWBFXKqI63QQqaMSz21G3uHheW4pkPfTes6nUjFUDEubWHY\n9UDfxQ277w67nINKT7JvHNpX2ToeKQGGlF588cWt+mJmC2UsnoXWS0DXfhw944pQoGLSMPyW\n1fLQQw/NGr2Wd3GQA7Op7BlOCTAnHfIXO0h5XfaBUF5wgpw++uijcTb7ds/kA+WFBOMGlU7f\nMlwxIvDTkqE0qJaD3nXXXRkBZoAp8puGbcJvlGKUQiYIys6yNQGXsmWkb9Gm6tCnyAuTPMiS\ncWnjzD4zuI1Lfsu2i2H5YwzkvIx2fZcVQJwBweRf03HWhAsTRoyJ4MdXAvSlgGHVmyasbrjh\nhuxcE9JFf8JRl+NQT5A3VliNQ14zYGv2jzaAzGYSRJPPyO/YoScb3xiRF+7hA+AmvfaFN77r\nhAAci7GX9qbVBp3CjPI9PEnnGbXLx0j3AKMEXnDBBa0/9vKyV5dOnDbSxx57LFvekRYGoarB\nKX6Hf53aiFVX5Fd+IL4QW7upCKCgowAxsDZtD6xm/FFwfAjW1LbhJ9MHAS33b1ofnz41OJiS\niGx5qWBoTaLrJObBIN45Vuky2iJGCFliUPbsmolAahSS/tJMNFxqI1ANgZFagNlXc9ZZZ03K\nMaSYWVdmOvUtXw7FYtY/3eergHwuCf+c+izH94C32GKL7OcBBxyQxaXfPLz22msL41McTb0y\nc4JViNkeWUSbgoUGEFlJTA6aUvPNKycEmMMF3cabV/ftSgwBvueee6ZsK2oXZrq+e93rXpct\nOeY6SicCHH8KSQRYSztHmT+nPRoEUiuXVj2OJjdO1QiMFwIjtQDnQYW1dv311w+nnnpqtlQL\nInbyySeHDTbYIDuSnjB85ujMM89sLUuG2P70pz/NTolmicP555+fWe823HDDLImVVlopnHHG\nGYHToCF1vL/55pvDVlttlZeFxj/DAgyOWEGbphxrADEBbnw3mPYAyNLXtD4+7Su2xwJqtZQt\nwCG8973vzfSKJZZYokdUewuug2fiVWsiwLYA94btuIeOrcCawB/3Mjn/RmAYCIzUAlxUwN13\n3z0cdthhYeONN872PKy44oph7733bnm//fbbwwknnBDWWWed7KAO9vRus802Yc8998wslhxY\nccghh7ROauSTStddd13YeeedM0LHPgoOwUr3/7YSaPiNZhWxxjdNoKq87HNgEsDkoOGdYRoX\nX0ugkYd2RkAIaGIkPVhS730dPgJagh1bgHXQiwnw8OujTinq0FLyFJPhOuXReTECdUSglgSY\nGejjjjsusI8X4S6rnACE+F522WX6mV0ht9tvv30Whn3EsYPQHXnkkZlFk4MsmE1l77BdPgIi\nwFiAZQ3I9zn9nsrqoQNGmrYEfPrVqEtUhAAykxPv2UJiZwSEgAmwkKjPVRbgmADbAlyf+hll\nTtCPdfCVJvBHmR+nbQTGBYFaEmCBV3UGGmtdSn4VF1cERUqm4/e+fx4BlkDLNc0CqvahT26Z\nAKsl+DrdEFh55ZUDf3ZGIEZg6623zr6s8PrXvz5+7PsRIrDQQgtldZK3BNp7gEdYMTVIWlZf\nzs5pmr5WA/idhTFGoNYEeIxxHeusS6BSiKYJVM2gigA3rfxj3XCdeSNgBHpGgAOfRn3oU8+F\nmGYRsBIOEhxbgL0EeppVcpfFkb4m3aXLaBzMCDQOgdodgtW4GqhhgbUEmqw1jQB6CXQNG6Sz\nZASMgBFoOAIsg77//vuzL2IAhZdAN7xB/Lv4IsBavWZUjIARKIeACXA5nBrlK+a5AmAAADA+\nSURBVF4C3bQlwBpEbAFuVJN3YY2AETACtUaATyFBeh966KEsnyLAXgJd62obeOaks+g68ASd\ngBGYJgiYAE+TiuxnMZpsAdYyIh+C1c8W5biMgBEwAkagFwT0LWDtAxYB9inQvaA6/mFtAR7/\nOnQJRoOACfBocK91qrEFuGlLoFMC3LTy17phOnNGwAgYgYYiIAKsfcDeA9zQhpAUWwRYukvy\n2j+NgBEoQMAEuACYJj+OLcBNWwLNSYpMAPzjH//ImoAJcJN7gstuBIyAEagHAgsvvHCWERFg\nWYC9BLoe9TOqXEhf8xLoUdWA0x1XBEyAx7XmBphvCVSSaBoBpszxQNLE8oOBnREwAkbACNQH\nAVn4NDkrAuwl0PWpo1HkRPqKrqPIg9M0AuOIgAnwONbagPMcL4GeffbZB5xa/aKXokHObAGu\nX/04R0bACBiBpiGgpa4iwF4C3bQWkF9etQsT4Hx8/NQIFCFgAlyETIOfN90CHBNgW4Ab3BFc\ndCNgBIxATRAQ0REBtgW4JhUz4myoXcR6y4iz5OSNwFggYAI8FtU03EzGBLiJFtB4IDEBHm7b\nc2pGwAgYASMwFQERnZQAew/wVKya9ETtwhbgJtW6y9oPBEyA+4HiNIsjXgLddALcxPJPs+bs\n4hgBI2AExh4BEZ2nnnoqK4uXQI99lfalAPPNN18Wz/zzz9+X+ByJEWgKAjOaUlCXszwCsQW4\niRZQW4DLtxX7NAJGwAgYgcEjIAKcWoB9CNbgsa9zCuuuu2749re/HdZcc806Z9N5MwK1Q8AE\nuHZVMvoM2QI8V6sSmngIWKvwvjECRsAIGIFaIKCJ6ZQAewl0LapnZJlgAuTtb3/7yNJ3wkZg\nXBHwEuhxrbkB5lsDLUk0cQmwLcADbFyO2ggYASNgBCojoHE5JcC2AFeG0gGMgBEwAsEE2I1g\nCgIaaHnhJdCzTsHHD4yAETACRsAIDBMBjcsiwN4DPEz0nZYRMALTDQEvgS5Ro3UigVruxHVQ\n+Zp77rlbqDDoDiqdViIjuGlXpnnmmaeVo+la/lYBK96o/c2YYdFREbrMO9aaQfbdbvI0jmHa\n9d9xLM+w8jzLLLME993u0Jalleuo2h/7gDkEK06fVVrx7+5KN/hQtD3+xiGvg0ejegpghwO/\nmTNnVo+g4SHot+Dm9le9IUjvGxfdRX2lU0mtxXZCaOI9g05ZQEtE15MX5QMlZlDH3sfxshw4\n/t1T5msSmE7crkwLLLBAK6dMBrTz2/LYkBspz0wMyALRkKL3pZi0PQZit6nu4ET+deq/3cXc\njFD0X854sAJdvb5pdzgIp+6rx9JbCOQGBJirCDn6ybjIE/fd7us/ru/uY2luSGQfck84NheJ\n6iUX7xgX3UXfSO9UUhPgTghNvH/00UdL+BqOFxogCswzzzwz0HxBcBhoaUh///vfh1O4IaWy\n8MILty1TLCCfffbZtn6HlOXaJMOEADOojz/+eAAbu2oIcKga/bdOMqVaCUbr++Uvf3k28TLd\nZNKwUOWTKU888YT7bheA02/pv4yLTz75ZBcx9B6EPFB/tH/l4emnnx6LMQolmsll993u2gGf\nOUI3YezwBFZ1DJkkAjdtIageQ3NDMHGF7BkXfZh+Ep/lU1Rz3gNchEzDn9PYcU1cLhJ3nCaW\nv+FN38U3AkbACNQSAS2BJnOycsQTtrXMtDNlBIyAEaghAibANayUOmQJCzCuiadAx8vJTIDr\n0BqdByNgBIyAEYAAY/HFiQCPajm2a8MIGAEjMM4ImACPc+0NMO+yADeRAMcWYH8HeICNzFEb\nASNgBIxAaQR09oK2JxHQFuDS8NmjETACRqCFgAlwCwrfxAjIAtxEC2h8CnYTyx+3A98bASNg\nBIxAPRDAAoxjH6MOITQBrkfdOBdGwAiMFwImwONVX0PLrQhw0y3ATSz/0BqZEzICRsAIGIHS\nCIgAxxZgL4EuDZ89GgEjYARaCJgAt6DwTYxAk5dAew9w3BJ8bwSMgBEwAnVAQAQYC7D2ANsC\nXIeacR6MgBEYNwRMgMetxoaUX1mAm7gEGPIvpaKJ5R9SE3MyRsAIGAEjUAGBmAB7CXQF4OzV\nCBgBI5AgYAKcAOKfzyMgAtzUJcDaB9zU8rsfGAEjYASMQL0QiAmwLcD1qhvnxggYgfFCwAR4\nvOpraLlt8hJoQNYyaFuAh9bknJARMAJGwAi0QUAE2HuA24DkV0bACBiBEgjMKOHHXhqIwPrr\nrx8eeOCBsMQSSzSw9CHoU0i2ADey+l1oI2AEjEDtEBAB9inQtasaZ8gIGIExQ8AEeMwqbFjZ\n3XDDDQN/TXXzzDNPVnQT4Ka2AJfbCBgBI1AvBLQ1yYdg1atenBsjYATGDwET4PGrM+d4CAjs\nv//+4c477wwzZriLDAFuJ2EEjIARMAIdEIgtwNoD7M8gdQDNr42AETACOQhYu88BxY+MwFpr\nrWUQjIARMAJGwAjUBgFbgGtTFc6IETACY46AD8Ea8wp09o2AETACRsAIGIHpj0BsAfZnkKZ/\nfbuERsAIDA4BE+DBYeuYjYARMAJGwAgYASPQFwRiAqwl0PpmfV8ScCRGwAgYgYYgYALckIp2\nMY2AETACRsAIGIHxRSCPAHsP8PjWp3NuBIzA6BAwAR4d9k7ZCBgBI2AEjIARMAKlEBAB5jvA\nXgJdCjJ7MgJGwAjkIlBbAvz444+Hn/zkJ+G73/1uuOuuu3Izn/fwnnvuycKk71gudPXVV4cz\nzjgj/O53v0tf+7cRMAJGwAgYASNgBGqLgAiwP4NU2ypyxoyAERgTBGpJgO+4446w6aabhvPO\nOy9cf/31Yeeddw6/+c1vOkL6xBNPhAMPPDBcdNFFk/xCfnfffffwqU99KkCQDz/88HDMMcdM\n8uMfRsAIGAEjYASMgBGoKwJ5p0B7CXRda8v5MgJGoM4I1PIzSEcddVTYZJNNwj777BNmmWWW\ncPrpp4djjz02nH322dnvPECvuuqqcPTRR4e///3vYckll5zk5dxzzw2Q43POOSfMOeec2fdd\nd9hhh/Dud787LLPMMpP8+ocRMAJGwAgYASNgBOqGgAgwS6B170Ow6lZLzo8RMALjgEDtLMAP\nPfRQuOmmmzILMOQXt9FGG4V777033HjjjbmYslz6oIMOCu9617vCtttuO8XP5ZdfHtZbb72M\n/PLy1a9+dVhhhRXCJZdcMsWvHxgBI2AEjIARMAJGoG4IzDbbbGHGjBmBJdDeA1y32nF+jIAR\nGCcEamcBvu+++zL8FllkkRaOCyywQEDw33///WH55ZdvPdcNM6FYefF32mmn6XHr+te//jXE\n8fGC38SXuuuuu24K0YY8M+jUwWm5E/nRfqA65Guc8sDEirHrrsZmnXXWLOAcc8wRdN9dTM0M\nRb913+2+7um77r/d44e10H23O/ykAyD3Rjl+sIoNC/B8882XFWSuueYaaX6qoIn+MkrsquS1\nbn6l+8nyX7f81T0/1le6ryEZIxk/xqH/zpw5s1Rh68HqoqxCVmefffbsL3oc5p577vDII4/E\nj1r3DEyQ3zz33HPPhQcffDDMM888k17z+5Zbbpn0jB9YhU866aRJz1mOXbdKZ0KAP7vuEJh3\n3nm7C+hQGQIoXXbdI+C+2z12DMLuv93jZ0Wwe+wICQEZJQlB9j799NOt7WDzzz//FH2ptxIO\nNrT7bm/4Gr/e8Btl3+0t56MPPS6845lnnikF1kgJ8MMPPxwuvvjiVkYXXnjhzKoEaU0dB1l1\nQ0JRlpg5S+PkNzOpqdtggw3CUkstNekxy43KAjop4AB+UBbIO/khX3bVEQC/xx57rHpAh8is\nR1iQ2HZAn7SrhgCTdRAQLDh21RGg7zK7S/uzq44AY+j//d//ue9Why7rt7K+guGoHPKXSX3l\ngb4wLvIE8s55LHbVEaDtMXZwzo1ddQQwrDF21EWXr16C0YXAAszEyzjxjjJGhpES4EcffTRc\ncMEFrVpddtllw+abb54NzpC7mPBCWF75yle2/Ja9oeKYIU0VJuJ7xSteMSUalliny6yxSj/7\n7LNT/I7iAYQeJRACPy6D3ihwapcmqwmMXTuEit9pGSDKV136RHFu6/eGQZhJLLe/7upGBNj4\ndYcf5Ml9tzvsUJ4hIci9UbY/LFikL/mLUqr77ko2nFDoYppAGE6K0ysVWS6x/pdd4jm9EOit\nNIy74DbKvttbCUYXGuwgwBg9xgE/eFIZN1ICzGnNZ5111qR8QopRsm+44Yaw6qqrZu84FIsD\nH9J9vJMCtvmBRZf4OPVZjgO1tthiC/301QgYASNgBIyAETACtUYAw0BMerU/r9aZduaMgBEw\nAjVDoHanQDPLsP7664dTTz01WyrDbNfJJ58cWJq80EILZfDdeeed4cwzz5xi1S3CFqL705/+\nNDvcihmg888/PxtANtxww6Igfm4EjIARMAJGwAgYgVohIEsgq9rKWjpqVQBnxggYASNQAwRq\nR4DBZPfdd88OeNp4443DZpttllmE99577xZct99+ezjhhBNKE+DVV189bLPNNmHPPfcM73zn\nO8MPf/jDcMghhwQf5NOC1DdGwAgYASNgBIxAzRHQ1jAT4JpXlLNnBIxArREY6RLoImQ43v+4\n447LDipihpN9I7FbZ511wmWXXRY/at2///3vD/ylbueddw7bb799FueCCy6YvvZvI2AEjIAR\nMAJGwAjUGgFZgDlMyhbgWleVM2cEjECNEaglARZeHHjST8epYCa//UTUcRkBI2AEjIARMALD\nQkAWYLaHpcaBYeXB6RgBI2AExh2BWi6BHndQnX8jYASMgBEwAkbACPQbARFg4rUFuN/oOj4j\nYASagoAJcFNq2uU0AkbACBgBI2AExhoBE+Cxrj5n3ggYgZogYAJck4pwNoyAETACRsAIGAEj\n0A6BmADzfU47I2AEjIARqI6ApWd1zBzCCBgBI2AEjIARMAJDRyAmwF4CPXT4naARMALTBAET\n4GlSkS6GETACRsAIGAEjML0R0CnQlNIEeHrXtUtnBIzA4BAwAR4cto7ZCBgBI2AEjIARMAJ9\nQyC2AHsJdN9gdURGwAg0DAET4IZVuItrBIyAETACRsAIjCcCMQG2BXg869C5NgJGYPQImACP\nvg6cAyNgBIyAETACRsAIdETABLgjRPZgBIyAEeiIgAlwR4jswQgYASNgBIyAETACo0fABHj0\ndeAcGAEjMP4ImACPfx26BEbACBgBI2AEjEADEIgJsPcAN6DCXUQjYAQGgoAJ8EBgdaRGwAgY\nASNgBIyAEegvAjEB9h7g/mLr2IyAEWgOAibAzalrl9QIGAEjYASMgBEYYwRMgMe48px1I2AE\naoOACXBtqsIZMQJGwAgYASNgBIxAMQLxd4C9BLoYJ78xAkbACLRDwAS4HTp+ZwSMgBEwAkbA\nCBiBmiAQE2Avga5JpTgbRsAIjB0CJsBjV2XOsBEwAkbACBgBI9BEBGaZZZYgEmwC3MQW4DIb\nASPQDwRMgPuBouMwAkbACBgBI2AEjMAQEDABHgLITsIIGIFpjcCMaV26PhVu3nnnDXXZa8Ps\nL2722WcP8803X59K2KxoqEtj112dz5jxvMiYe+65w8yZM7uLpMGhaHtuf903AOSf8esev1ln\nnTW473aHH+0OB/mcbbbZuoukT6Hmmmuu8PDDD2f5GKexDIv1OOW3T9XVl2g09r7sZS/rS3xN\ni0SrJdCd7bpDALk3Dv33n//8Z6kCmgCXgOnJJ58MIp4lvA/UC4MwHfjZZ58NTzzxxEDTmq6R\nowQau+5qlxNIGYifeuqp8Nxzz3UXSYND0fbov25/3TUCBuB//etfxq87+DLy677bHXi0Pf6e\neeaZTP51F0t/QskCTGzjIkvQoRg7xiW//amp/sUyzzzzBEgc+qgnn6vjSp8Bt6effrp64IaH\ngHfMMcccmc43Dv0XWTPnnHN2rDUT4I4QhVop+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MYWap8CKLLDLFWlsmg3yzF0su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\nrkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=8, repr.plot.height=3) \n", "qplot(1:length(R), R, geom='line') " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Посмотрим на среднюю доходность по акциям. Интересно знать сколько в среднем зарабатывали владельци акций теслы за два года." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ "0.000653468586652758" ], "text/latex": [ "0.000653468586652758" ], "text/markdown": [ "0.000653468586652758" ], "text/plain": [ "[1] 0.0006534686" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean(R)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Когда мы посмтотрели на распределение доходностей, у нас возник вопрос. А из какого это они распределения? На этот вопрос важно ответить перед тем как начать анализировать. На картинке распределение довольно куполообразно. Возможно, оно нормальное. Но это далеко не факт. Матстат не в состоянии дать однозначный ответ на этот вопрос. Никто не в состоянии дать однозначный ответ на этот вопрос. Однако, статистики 20 века придумали целый комплекс процедур, который позволяет утверждать что-то с определённой долей уверенности. Этот комплекс процедур состоит в проверки гипотез. Мы с вами ещё не говорили о гипотезах. Но если я здесь не вставлю кусочек с проверкой гипотезы, вы можете подумать что ничего проверять и не надо. На лекциях вам уже о них рассказывали, Поэтому давайте тоже проверим. Особо глубоко в гипотезы пока вдаваться не будем. Скоро мы начнём посвящать им и без того много времени. \n", "\n", "Итак, в нешем случае \n", "\n", "$$\n", "\\begin{aligned}\n", "H_0 : & \\text{ pяд доходностей имеет нормальное распределение} \\\\\n", "H_1 : & \\text{ pяд доходностей не распределён нормально.}\n", "\\end{aligned}\n", "$$\n", "\n", "Для проверки такой гипотезы существует довольно много тестов. Давайте воспользуемся тестом Шапиро-Вилка. Большая часть стандартных тестов уже встроена в R. Для той части, которая не является стандартной уже написана целая куча пакетов." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\n", "\tShapiro-Wilk normality test\n", "\n", "data: R\n", "W = 0.94976, p-value = 1.302e-07\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "shapiro.test(R)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Команда, которая проводит тест выдала нам на выход какой-то странный протокол. В этом протоколе написано наблюдаемое значение статистики Шапиро-Вилка, а также p-значение. Что это за значение такое, мы узнаем через пару. Пока что просто знайте, что если оно меньше уровня значимости, гипотеза отвергается. Если оно больше уровня значимости, гипотеза не отвергается. В нашем случае p-значение меньше любого наперёд заданного разумного уровня значимости. Гипотеза о нормальности доходностей отвергается. \n", "\n", "Давайте попробуем понять в чём проблема. Гистограмма же такая куполообразная и милая! Для этого построим ещё одну картинку, которая называется диаграммой квантиль-квантиль. Она позволяет сравнить выборочное распределение переменной, которую мы исследуем с теоретическим. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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ll1e3RItGNEcmKsYqAyWKOB8oxsxLAa46uALsJgkRWajDlMOWzLaGWwOE8m2bWL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\nEpCABCTQdwQGaohw0DNY2+T24Xew+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"text/plain": [ "Plot with title “Normal Q-Q Plot”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=5, repr.plot.height=4)\n", "qqnorm(R) # Рисуем график\n", "qqline(R) # Добавляем линию квартилей" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "В этой диаграмме по оси $x$ откладываются значения из теоретического нормального распределения. По оси $y$ откладывают значения, которые фигурируют в выборке. Если бы нащи наблюдения были из нормального распределения, они бы оказались на прямой. Центр, в котором мы увидели куполообразность, действительно, укладывается на неё. А вот хвасты с неё спадают. В них то и вся соль. Они оказываются тяжелы. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Доходность и риск\n", "\n", "Мы поговорили о доходности. В ней не было ничего сложного. Но вот что считать мерой риска? Мы рассмотрим 4 популярные характеристики, а дальше сосредоточимся на двух." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.1 Стандартное отклонение доходности \n", "\n", "Название говорит само за себя. Возьмём ряд доходностей, найжём его стандартное отклонение. " ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "0.0276427579167957" ], "text/latex": [ "0.0276427579167957" ], "text/markdown": [ "0.0276427579167957" ], "text/plain": [ "[1] 0.02764276" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sd(R)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "А это много? Вкладываем деньги или нет? \n", "\n", "__NB:__ Сравнивать акции на основе стандартного отклонения можно при равных доходностях. А чтобы сравнивать разные акции нужно использовать комбинированные метрики. Например, Коэффициент Шарпа – отношение ожидаемой доходности к ее стандартному отклонению:\n", "\n", "$$\n", "SR = \\frac{E(R) - R_f}{\\sqrt{Var(R)}}\n", "$$\n", "\n", "В данной формуле $R_f$ это доходность от безрискового актива. Коэффициент Шарпа используется для определения того, насколько хорошо доходность актива компенсирует принимаемый инвестором риск. При сравнении двух активов с одинаковым ожидаемым доходом, вложение в актив с более высоким коэффициентом Шарпа будет менее рискованным." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "0.0236397753299323" ], "text/latex": [ "0.0236397753299323" ], "text/markdown": [ "0.0236397753299323" ], "text/plain": [ "[1] 0.02363978" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean(R)/sd(R)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Такой метод оценки риска хорош, так как прост и понятен, но есть пара минусов. Во-первых стандартное отклонение ничего не говорит об экстремальности распределения. Во-вторых, стандартное отклонение не естественно, то есть на интуитивном уровне не понятно." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.2 Максимальная просадка \n", "\n", "__Максимальная просадка (maximum drawdown)__ – это то, насколько сильно просел наш актив после максимального влета. В R есть готовые способы найти максимальную просадку. Но мы же хотим все прочувствовать сами. Или не хотим. Не все хотят. Но обычно, чтобы до конца понять какой-то алгоритм, нужно самостоятельно его запрогать. Алгоритм:\n", "\n", "1. Говорим, что максимальная просадка равна 0.\n", "2. Берем первую точку и объявляем ее максимумом цены.\n", "3. Идем к следующей точке.\n", " * Если она больше максимума, то обновляем максимум.\n", " * Если меньше, то считаем в ней просадку. Если просадка больше максимальной, то обновляем максимальную\n", "4. Повторяем шаг 3, пока не дойдем до конца." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/html": [ "280.200012" ], "text/latex": [ "280.200012" ], "text/markdown": [ "280.200012" ], "text/plain": [ "[1] 280.2" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "maxDD <- 0\n", "maxPr <- price[1]\n", "\n", "for (i in 2:length(price)) { # Проходим по всем точкам, начиная со второй\n", " if (price[i] > maxPr) { # Проверяем не больше ли она текущего максимума\n", " maxPr <- price[i] # Если больше, то меняем максимум на эту точку\n", " } else {\n", " DD <- (maxPr - price[i])/maxPr # А иначе считаем просадку\n", " if (DD > maxDD) { # И смотрим не больше ли эта просадка максимальной\n", " maxDD <- DD # А если больше, то меняем значение максимальной просадки\n", " }\n", " }\n", "}\n", "maxPr" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ "0.276267008154161" ], "text/latex": [ "0.276267008154161" ], "text/markdown": [ "0.276267008154161" ], "text/plain": [ "[1] 0.276267" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "maxDD" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Чем хороша эта мера? А чем плоха?\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.3 Value-at-Risk\n", "\n", "… или статистика $16:15$. Value-at-Risk на каком-либо уровне (скажем, $5\\%$) – это просто квантиль на уровне $5\\%$. То есть это такая доходность, что в $95\\%$ случаев у нас дела будут лучше. Вот если сейчас не понятно, то точно стоит меня прервать. Считаем ее элементарно:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "5%: -0.0392899783341717" ], "text/latex": [ "\\textbf{5\\textbackslash{}\\%:} -0.0392899783341717" ], "text/markdown": [ "**5%:** -0.0392899783341717" ], "text/plain": [ " 5% \n", "-0.03928998 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "quantile(R, 0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Или способ для более продвинутых юзеров:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/html": [ "-0.0408172402073642" ], "text/latex": [ "-0.0408172402073642" ], "text/markdown": [ "-0.0408172402073642" ], "text/plain": [ "[1] -0.04081724" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sort(R)[0.05*length(R)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "VaR хорош, так как не требует гипотез о хоть какой-либо форме распределения и описывает именно ту часть распределения, которую мы боимся. Но VaR - это лучшее из $5\\%$ худших случаев. А что лежит в тех $5\\%$?…" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.4 Expected shortfall\n", "\n", "Он же ES, conditional value at risk (CVaR), average value at risk (AVaR), и expected tail loss (ETL). Но мы будем говорить ES. ES - Это среднее значение по всем тем точкам, что оказались левее VaR, То есть среднее по худшим $5\\%$. Считаем:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
    \n", "\t
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\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item FALSE\n", "\\item FALSE\n", "\\item FALSE\n", "\\item FALSE\n", "\\item FALSE\n", "\\item FALSE\n", "\\item FALSE\n", "\\item TRUE\n", "\\item FALSE\n", "\\item FALSE\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. FALSE\n", "2. FALSE\n", "3. FALSE\n", "4. FALSE\n", "5. FALSE\n", "6. FALSE\n", "7. FALSE\n", "8. TRUE\n", "9. FALSE\n", "10. FALSE\n", "\n", "\n" ], "text/plain": [ " [1] FALSE FALSE FALSE FALSE FALSE FALSE FALSE TRUE FALSE FALSE" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(R <= quantile(R, 0.05))[1:10] # сделаем срез по всем доходностям меньше VaR" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/html": [ "-0.0638599520271764" ], "text/latex": [ "-0.0638599520271764" ], "text/markdown": [ "-0.0638599520271764" ], "text/plain": [ "[1] -0.06385995" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mean(R[R <= quantile(R, 0.05)]) # И просто посчитаем по ним среднее" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Чем ES хуже VaR? А чем лучше?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2.5 Кто побеждает? \n", "\n", "Да никто. Все рассуждения о риске – это попытки запихнуть функцию распределения доходностей в одно единственное число. Поэтому информация потеряется и все метрики будут не идеальны. В лучшем случае посредственны. А к чему это приведет, можно прочитать [в этой книге](https://yadi.sk/i/Zzqyy7OH3Rx3TG) (обязательно к прочтению для тех, кто видит себя трейдером, и занятное чтиво для остальных).\n", "\n", "Попробуем чуть глубже вникнуть в VaR и ES. Вот мы уже умеем находим VaR и понимаем, что это такое. Взяли цены акций за год, нашли квантиль $5\\%$. И говорим, что в будущем акции будут вести себя так же. То есть занимаемся моделированием, предсказанием, алхимией. А значит нужно научиться проверять наши прогнозы.\n", "\n", "## 3. Тренировочная и тестовая выборка\n", "\n", "Но сначала о методологии анализа данных. Если вы занимаетесь моделированием чего угодно на данных, то вам нужно иметь две выборки: тренировочную и тестовую. На тренировочной вы строите модель, а на тестовой должны проверить ее качество. Давайте на примерах.\n", "\n", "## 3.1 Кривая VaR\n", "\n", "Поэтому когда мы найдем значение VaR, то верифицировать его мы должны будем на другой части наблюдений. У нас есть" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/html": [ "251" ], "text/latex": [ "251" ], "text/markdown": [ "251" ], "text/plain": [ "[1] 251" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "length(R)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "наблюдения. Давайте на первых 150-ти наблюдениях найдем VaR, а на оставшихся его оценим.\n", "\n", "Разбиваем на две выборки:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "train <- R[1:150]\n", "test <- R[151:length(R)]" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "5%: -0.0316094120381326" ], "text/latex": [ "\\textbf{5\\textbackslash{}\\%:} -0.0316094120381326" ], "text/markdown": [ "**5%:** -0.0316094120381326" ], "text/plain": [ " 5% \n", "-0.03160941 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "var <- quantile(train, 0.05)\n", "var" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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IiACIiACIiAFCy1AREQAREQAREQARGI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ACIiACNQfASlY9VdnyrEIiIAIiIAIiEDM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\nffr0sVq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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_plot = data.frame(time = 1:length(test), test = test)\n", "\n", "ggplot(df_plot, aes(x = time)) + \n", " geom_point(aes(y = test)) + \n", " geom_line(aes(y = var), color = 'red')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Мы видим, что на деле довольно большое число точек попало ниже нашего значения $VaR$. Мы думали, что такое произойдёт только в $5\\%$ слачаев. А произошло в " ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/html": [ "13" ], "text/latex": [ "13" ], "text/markdown": [ "13" ], "text/plain": [ "[1] 13" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "round(length(test[test < var])/length(test) * 100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "процентах случаев. Вопрос: можно ли считать такой прогноз точным? \n", "\n", "## 3.2 Тест Купика\n", "\n", "Ответ: хз. Надо проверять гипотезу. Тест для проверки этой гипотезы может вам показаться сложным. Вот он. Пусть $K$ это число пробитий $VaR$ - $\\sum(R_t < VaR_t)$, а доля пробитий $\\alpha_o = \\frac{K}{L}$, где $L$ - число наблюдений в тестовой выборке. Гипотеза теста выглядит следующим образом:\n", "\n", "$$\n", "\\begin{aligned}\n", "H_0 : & \\alpha_0 = \\alpha \\\\\n", "H_1 : & \\alpha_0 \\ne \\alpha\n", "\\end{aligned}\n", "$$\n", "\n", "Статистика для проверки гипотезы устрашает: \n", "\n", "$$\n", "S = 2 \\cdot \\ln((1-\\alpha_0)^{T-L} \\cdot \\alpha_0^L) - 2 \\cdot \\ln((1 - \\alpha)^{T - L} \\cdot \\alpha^L).\n", "$$\n", "\n", "Она не только устрашает, но ещё и имеет хи-квадрат распределение с одной степенью свободы. Если вы внимательно приглядитесь к этой статистике, вы сможете разглядеть тест отношений правдоподобий. \n", "\n", "Теперь мы вооружены и можем провести тест! " ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "0.00221496790253572" ], "text/latex": [ "0.00221496790253572" ], "text/markdown": [ "0.00221496790253572" ], "text/plain": [ "[1] 0.002214968" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "L <- length(test)\n", "K <- sum(test < var)\n", "a0 <- K/L\n", "a <- 0.05\n", "S <- 2*log( (1-a0)^(L-K) * a0^K ) - 2*log( (1-a)^(L-K) * a^K )\n", "pval <- 1 - pchisq(S, 1)\n", "pval" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "P-значение оказалось очень низким. Гораздо меньше любого разумного уровня значимости. А значит мы отвергаем нулевую гипотезую $VaR$ найден не очень хорошо. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3.3 Почему всё это плохо? \n", "\n", "А потому, что мы не расширяем обучающую выборку, то есть не учитываем новую информацию. Мы один раз предсказали $VaR$ и так с ним и сидим. Давайте сделаем чуток лучше. \n", "\n", "Теперь мы выделим $N$ точек, найдём по ним $VaR$ для $N+1$ точки, а затем сдвинемся вправо и по $N+1$ точке найдём $VaR$ для $N+2$ точки. В итоге $VaR$ будет в каждой точке разный. На коде будет понятнее:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "N <- 70 # Длина тренировочной выборки. возьмем меньше, чтобы отличалось.\n", "test <- R[(N+1):length(R)] # Тестовая выборка\n", "VaR <- rep(0, length(test)) # Запишем сюда пока нули.\n", "for (i in (N+1):length(R)){\n", " train <- R[(i-N):(i-1)]\n", " VaR[i-N] <- quantile(train, 0.05)\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "А теперь нарисуем:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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dbv17zmNdW73/3utuSFiP/pT39a90OitRCdyk50hkASrM6gXFxBcQLJXxIu7jhn\nz4ZDwDNY/KkcQrSP4SQsfi4wev3rX1+95S1vWejO+ivC3MFa6GEeu3NJsMaGbjYL4uyf85zn\nVB/96Ec7a6A7WAj8xS9+0ZncFJQIzCMCSbAGj5o73Yv+y+M8gzVYF5Y5RxKsBRv973znO9WJ\nJ55YnXTSSZ31LBKs3MHqDNYUNKcIxO9g0YXcwVp3IMVEorVujsWIyR2sxRjH1erFzP4MBgM9\n99xzqwsuuKC6y13uUu2yyy4DMfjmN79ZnX322dWWW25Z7bbbbtXNb37zXplLLrmkuvTSS3vP\n3JDvfve734q4eX/wLECXO006S7BJgjXvGpLtnxQBz2DlK8J2JCVWcXHWnns+U+ibO3T63fns\nyXRa/ZKXvKR6wAMeUD360Y+eTgPWoNaZJFhM6AcddFB1xRVXVLvvvnv1rne9q3roQx9av/pq\nw+Qd73hHdcwxx1QPfvCDq+9+97sVz2984xurW97ylnWRE044oTrrrLOqzTbbrCfi7ne/+8IS\nrC6JUHSSXcrtDUTeJAJzhIB/izAJVvug6TMkWu055zfF3St6kARrtHH80Y9+VB177LH1pkcS\nrNGwmzg3hIp327zm2nTTTavLL7+82m+//aq99tqr2nHHHdeRz84Vg3XEEUdU97rXveqfTUPQ\nKM+VcNFFF1VPe9rTqsc97nHrlF+kCA29S8cWd7C63BlbJNyzL8uDQO5gDR7rZSBYnr8CjTzk\nPlgnYg7xWvT5ZCbPYLHTtMcee9TkikG5zW1uU//F8tNOOy2OUe/+s5/9bLXDDjvU5IpIPgD4\nqEc9qjI/27iQsCZy1hOyIDcqbpc7TZFgdSl3QSDPbiwZAnkGa/CAu8DzOrjE/OXIHazxx8x5\nyuv4kma75Ey+IuTVIIQpBp5/8IMfxKjePflvfetb9565If+VV15Zsdr8xje+UV/POeec6g1v\neEO9O8Yrx/3337/aeOONV5SDjCEvho022qjTrzavt956tXi/oxPrmvTeFQGOzVcYk8oEQwMr\n067kIrNLWbZx3q7owzLjQN/nCQN3sOKX3CcdP31B/IDpvOlxbC8klDCqv6D/lJ0Uz9iW1br3\nbQHy8btdtTnOD13JXC0MxpXrQp1rvz6SJh7j1rUa5bTXQbJnjmBhkBCjzTfffEXbeeY1X1P4\n3ve+t05+zlrhCH/yk59UF198cV0M8nTwwQdXn//856tTTz21uuqqq6oXv/jFK0R+9atfrZ74\nxCeuiDv88MOrxz72sSviuni41a1u1YWYFTJ0+vR9m222WZE27sOGG27YK3qzm92sM7kI7aqN\nvQbO4Q3GmjjMjy5AAFh0cXyBsMUWW3Q2fshU7hyqcq/JV199dX2PPx9Ht+NZ2Z7QGbuJfpGd\nmHH62a9L/AhrUcMmm2xSd22QfqzGHNkFphLEQbJmjmDBWJlwAD4GntscD4relJ/yEIJHPOIR\n9WH27bffvhZ5n/vcp2bNb3vb26pnPOMZK8jZVlttVT3mMY+JVVfbbrttp4cY3RHDKF3prahw\ngocf//jHdWlkxxXWBCJXfPsKwtqV3Jve9KYrZE/Sxnkti6NBB9x5nNd+TNJu7B0b9hdZk8ha\ni7IsXqLdchZnUpsAA+yBnedFeK12zTXX1EOBXx4FGxeIpT9fi3EdtQ4Oahvo4yj9tFzTFVvg\nHz4BXVvEIAHnNWsbbrxdgshEW5sVLBgX5vFBYeYIFtuBMHf/BIEdwGC32247H1dcYbmXXXbZ\nijjy8wtCXwFKrsy06667Vm+7nmCVu1+c93r1q19ttvqKMkAsugqseHEk9DGeb+pCvkbPZNVV\nm6MBdIkFCtpVG7vAbhoymFTRgWXGAVtgh3qeMMDpa7u0e9K2YwsuOOLh6WnoZBd1utBD1g9/\n+MOhJiPysogG2+hziJ/FEI+sMOF+//vfr8dw0rZiCxAs9GARyHYTHrylIkAi22yHzQ7m8Vkk\nmWwExc9ANfWRuJk85H7729++4lVdDHwPqzxnZfrtbne76sILL1yxi0V585988snVC17wArPX\n1/POO69+t1sSrxWZ5vBBxzTsFuYwXXQiIW+XcoepO/MkArOEgM6eHSf+EaJ92NZZXHXbtrW4\nxh2oeL8Wda9VHSUR1veuVf3zXI879l7nuS/92j6TBItPKZx++un1R0ZxVKeccko9se+55569\nvhx//PE9Evbwhz+8jicOB8gHRT/0oQ/Vn3YggY+OfuYzn6ne+9731iTsC1/4Qn3PLw3n4V1/\nr9ND3GjkXRKh6CDn5TXOEFBllkRgZAQkWPFQfrQPBPKBZBaJXf65qpEbOuUCcecl3k+5WZ1W\nL8Fit4mw6L+I6xI8idWizycz94qQQeT13b777lsfSEd52Yl66UtfumJL7uijj66/cbXTTjvV\nrwEPPfTQ6uUvf3kFyeJcyz777FMTK+Txi0IOtx955JH1x0dZcT7ykY/s++FSys1j0Mi7dGpx\nhb7oBjGPY55tXjsEIsHyvJBxtuLrX/96fZ7sK1/5Su1njF+ma/QZXfqiWcJQgrX11lvXH7d2\ncTtLbZzVtjhPYTvohyR1Vts7brtmkmDRmQMOOKB68pOfXL+DbfolwZlnnrmiz/e+972r97zn\nPfV7cBTe7XszPf7xj6/23nvv+lMPyBvmgJpl5+mqkXfp1KKz7HJnbJ5wzbYmAiDgq79+rwg9\nP+pB72VELvqfeL9IWOhrJViShkXq42r1xR0s5HO/qARrJl8ROqiQoCZyZXrTlV/8leTKfKw4\n2c1aVHJFPzV6VgblqwtxGPUa5eQO1qjoZf5FQsDdKnyM3++JCxD6mgTrhu9fOe7Rfxi3CNe4\ng0V/9L1d9o0D4Ksht8s2jiMrEqxFnlNmmmCNM3DLXiauorrabYoTSFcyl32csv/ziYA7WPEM\nVrQPepUEayXBWtQdLMeZHSxC9L11RAf/PexhD6ue8pSnTCzpfe97X/X0pz+9s0X3pA2KWEWy\nNancWSufBGvWRmTC9kTF7YoMxRXoIq82JoQ+iy8BAqPsYDkBTwuW73znO9WBBx5YXXLJJWve\nhEiq4v2aN2QVK/RP5awmwfrud79bffvb3564FyeeeGL9w65vfetbE8vqQkAkVfG+C9mzJCMJ\n1iyNRgdtidvJoxAsypUrcZsT40eRafm8JgKLgoA7WPPwipBzqu9///vrX2SvNf7RZyTBGg99\ncYuL5vEkVRVkmyApHFdOV+VinxZ50Z4EqyuNmRE54xAsDHmXXXapnvvc5zb2InewGmHJyCVE\nwB2s+IrQOOHwcLtX49f66mQ6jR0CyQF9jv5jrTFYzfo4g8XHYf3UT/S9XdTrYrYLueyEEdSJ\nLto3iYxIsKahn5O0fZSySbBGQWsO8kbF1UAHNZuDlHyhvfwavuWigxxWpmXzmggsEgKSqUiw\non3QVw8/T5tgOTFPY4cgYhLJ1iLpAmSFL8/z59gI4t1VH/W1k44fX9WXWHXdxnH7GknVpP0b\ntw1rUS4J1lqgvIZ1RAMa1rGp7F7L5sbt/kU2hrLf+ZwIlAhIsPq9IpRYTfsMlpOqE3XZl9V8\nXgaCBZGGYPmHi+PitgtsHTf8+LC+vKleXw+Spk405VvLuDjXLPKckgRrLbVqDeqKRq6BDqrW\nMm2KngRrEIKZvmwIRIIl6RIDd7CYFLUt09byat1tdr2abVkGggVZ4e/RrdYOViRVjuU4YzaL\nBCv2J96P079ZLpMEa5ZHZ8S2QYSiMx2VYMVVRaw6GvqwMmP5Zbjn8PMee+xRHXLIIcvQ3aXt\no2QqEqy4AAEYd7C4n+YulrsV07DZSLDiPZgsQqBP+FoI1mrtYEVfPgkJiQQrvuGY5jjEuSb2\nc5ptWo26Z/ZL7qvR2UWXWRphJEb9+q7RtSk6kwofacWpTMNZ92v7rKQxkfIHxv345Ky0K9vR\nLQISLM5gQbIIkUBAtCU2pHG+cZtttuF2zcMgu17NBkVMhvVDq9mermW7S7maZ7Aibo7lOP2I\nBCvq5jiyuiqzLAQrd7C60pgZkFMSrDbCVDZVZfdapuMs3QYfVmYpY9Gf3bWYFQe26HhPq3+R\nYDX9LULG30850MZZ2MGahs1GchDvpzVuXderncdXhKX/nbTOuJidRPasE6y2eWdS/GahfBKs\nWRiFjtpQrnKGdWwab5sj5hUIP0cmtOXpqAtzK0aC5cp2bjuSDe+LgOSp7RWheqAQdrCmFfQH\ncaJeq7Ys+g6WBCsechfvrjCO46aPHkd2JFhdt3Gc9lAm9meR55QkWONqyAyWK40nGmi/5qrs\nbSsJnCV/jBOSNazMfvUtYpoTq453EfuYfaoqd7AgWL4ijGewSoK9rDtYkWDF+0XRIcc5nsEq\n/e+kfY2+Vh89jsxIsGbFP8W5Jt6P079ZLpMEa5ZHZ8S2aeCcDyFEA+0nSuNldd5UBgfJZMIf\nyW5K7yd7WdLcqZgVB7YsuK91P93Bit/BigRLos3ES/B5rdtJffqDaewQxN3zeD8NHFajTglW\n3MHSj3ZVX8RtXNn47u9///vVlltuWTdrVvxTJFXxvivsZkVOEqxZGYkO2qER3uIWt6ilRQPt\nJz4qeLy3DBMI500gWE3p5lvmqxMpE7AT2zLjsah9jztYnsGKBMsdq1vf+tY1BOrFNPBwMp3G\noijuWg3rh9owOuyww+q/NDENotjWJgkWRBqyzS8Ju7b72F99e1t72uK/973v1buud77zness\n6kRb/rWKj/2J/Vyr+teqniRYa4X0GtSjgUuwhlXcQcqOs+TXcRtvvHHuYLWMoztYJOt8W7JO\nHP3pT3+6+sxnPjOxnGkIQEenSTrs86mnnlrxB3BHDRIsJlV3imeVYGnX806wvvzlL9d/S+/K\nK68cdbhWLb++1p1KCJZ4d1VpJKbWN6psXw/OEsFykc7uH8HnUfs2D/nzMw3zMEo3thEj89d8\nTc3WCCVY0UCb8htnOZ6bSFncwZqVFZBtn5VrJA0QrNX8af6BBx5Y7yZ+/vOfn5XuD92OJz3p\nSRWrakjitMJ5551XPfOZz6z/hty+++47UjMkWLwyb9rBUg922GGHWq47WiNV0lFmbbXJpjuq\nolVMJJ1xN6u1QJ8E/dgsTcQuoiLBin60T3eGTorEeFzyJsG6/e1vXy8Ium7j0J0JGR3HLbbY\nov6kyTT0MzRnVW9zB2tV4e1O+Jve9KbqLne5S/U///M/rUI1HhSXEA20tdD1CSo8eZoMGQfJ\nZMIO1iIbQz+MBqU5sZJP5zuozDjp/NFWVvL8fbFZCUyAxx9/fPWjH/1oYJOuuOKK6pvf/ObA\nfKuVAZt49rOfXb82Ycw8UzVsfeZvO4Pl2PuKMO5sDltHF/kggtqq1y7kDitDUkT+eD9s+ZjP\n8tFPxfRp3DvOLni5NvnOSdpmv5ExrmwJ1u/93u/Vf9ZH0j1JuyYta19uectb1qKmoZ+T9mHY\n8kmwhkVqyvkuueSS+oOGJ598cmtLJFjuYA1LsFR4BDcpu68IOYPVlI4zP+ecc1Z8cLG1kQua\nEAnWajqx888/v0aQsXayXy1IL7zwwur0008fKP6ss86qnve851XHHXfcwLxMktM8p3bEEUdU\n9IswTjvEvO1XhO5YMaERfK4f1vC/qIPD+oEumxd3rSJRGKcO2z+LBCvuYEU/Ok4/yzLR144r\nuyRYzhFlXWv57Dg6T43bt7Vs87h1JcEaF7k1LueK6T3veU9rzSqqiqtjai1wY4LleFT5LcOE\nwj93sCBTcfuffB/4wAeqffbZpzrllFMstnTXuFPhWK0GCBIsZMdJdDXq+sd//MfqKU95ysDD\nu7bj6quvHtgMJ41pOHqI1b/+67/Wr2932223uq2jEqD4itCv9kd7UJ47WJF4DwSnwwyOCSLF\nvEPxA0WtNsHCZ33iE5/ofTZjYIM6ziC+kWDR50nJZGxmlBV9dMwz6F6ChT5y5sl2Dyq3munO\nMb5pmYZ+rmb/ouwkWBGNGb7XMC6//PLqi1/8YmNLnbTceo0G2ljgxkgVnsdS2Z08JFhNeXxt\n+cMf/vBGict3cWKl54tCsHyFNuhwsTqj/vUbffOqz/3ydp3G7i+T4Mte9rJq3B2muIPlGSxJ\nF+1VD7baaqv6u3HTIlhxLMS8azz7yYsEK973K9OW5kIx+ileSXOe7+Mf/3hbsVWN18YlWL4q\njLhP2oA4buPKhWDx/UL0cVYIlmRRghXHdVLMZq18EqxZG5GW9sQJiV9ANQUV1x2saKBN+Y2z\nHM+lsusc/Q4WeXR43BO+9a1v1ddxnUBdeM7/ixNpHKuuuxV3sHTyXdehPPuxGgRrtdtuH+KV\nvxVJeNCDHlRtvvnm9b2EqH4Y4j/JFGewsAmCNsK98ph4N9tss6n9YjLaYmmvtHO1Q1zcxftx\n6rV89E2eQbz00kvHETlxGW3DX8KtBsGy3zQ2+uhRGg/B8gcXtBFdnYY+xDY7jqPOU1HGvNwn\nwZqTkWJC4gwUTvt973vfOq/p6IZOVcWNBtqvmyo8eUpSNswOloeWrb9fXYuathavCCE6/ALP\noJP3ueur8gcRLB22+dvaQT53gAblbZMxSfxXvvKVatttt61udatbVe48SIiGlRsJljtY2ggy\nlAeBww4j8R62jpjvyCOPrM4444wYNdR9xNfxGapgR5ki6RzWD7VVbfnopyQcLu7ayq5WvAsE\nCRafaSDYri7qjeNWyo34ttWFLvLP19WSwKgbbWVXM96+gF3bud5x62du/Pa3vz1u8c7LJcHq\nHNLVEYhBQ6722muvildxHCwugwTHrddooGXe+KzCExedGM8aMudNMAZCKVcnZ/11piX7z4mV\nbut8u4Yg7l4he7UdpfIH/TpQUm7+tn5H3RqUt03GuPF8zZp+7LTTTrUIbIkw6lhJENm98gyW\npAt56AG7W0xm1IF8y5BeBshrG77Y+ate9aqKg/mjhtIWHaNR5YybX79B+Xg/jjzbHv2U9/qe\nceROUka9kahLsErcJ6kj+ln7izx+ULLLLrsMxDWev6KcZLDLNiJ31KAf4NUlc4rPo8op83NU\n5aCDDqpe97rXlUlTe06CNTXoR6sYg8aY995777pg02F3jdAdrGig/WqzHHlKZdc5slqXYOnw\nyM/qnU8HEKZtuHUjpvTfWuxg8cFFwt3udrf6qpOvH1bhP8dz0A6WOjOINEW9GZS36+6we0XY\neeed66sEKxLjOmHAf5Klfr8ixE4hWexikb/fOGHP2nRZ9de//vU6ahysHDtlDusLzM+VX4U+\n4QlPWGdBFfO03bvrRHq8b8vfL97y6hl59VnTIliMCQRBku3ukO3q159h0+KYRblf+9rX6j9/\nM2inhk+iELbffvv6OosECwzjuNYNHfM/f2Rjv8cU02mxJFidwrl6wjBoHPcDH/jAemXMZxHK\noBFKsHRMZb7y2XLEx0mQZ1fn8ZB7NHyU2Vck40wE1DHvgckMDFb77325g/WABzyghqzfxD0p\npuiEYz+IYKkPg8Y/6tagvJO2vywvwXIHy52HUQmWmMTvYLkIoU7keb7LayTfsV3f+MY36u/a\nteErwYr2Gcv3u++CYH30ox+td8rja+l+dcY0fQJxw/qhWD7eWz5OxN5Pi2BhexIW2irBKnGP\n/Rj13n5TLsr1tbNHM9rk6h/UQ9u71rZXtk99ZtcPghX9Qpl3lGdt+Qc/+MEoxVY1bxKsVYW3\nG+EYGpMYkwIrZ34B1cTSNUJfEQ6ruCo8rdVx2XInD1ZqfGiUEOXGVZT1W3ZZrk6gnnXQsbX1\n/7LLLqve+ta39ohpW74yHoKFs7zrXe9aJ62mo4xj2fYKy/YNS7Cibq1m221XvHrAXYLlDtag\nsYoyuJdg9XtFKHlzYtPxl7I++clP1lHRnmIeCVYci5je777EN2Lfr1xME5u29sW85X0kB/G+\nzDfMs/oV+6DPop9XXXXVMGI6zUO9jjOCfUVou7qozH4jK8odlWBJrLyWuoH8d77znWO9iqbs\nqMG+QK663MFSX2eJYOWfyhlCO1it+npsiOwDs+CcCRtuuGFvi7lfIQ2CSYF2QLDYJsbQOLBr\nwAGx0yTBYhU5TLuj44JQxTK2lTidCJOMeXw9SBswHONtU79r17j2q2s108QPggUJYkLsh8Ox\nxx5bE6xdd921PoA6DA78aorV+u677175GQ7q7VfPJH2OkyIEq1895h3U77irEdsOeR8Gg0n6\nc8EFF9Q7DjvuuGNdlxgOanNZpwfbuTI5EHgNCD70DxtgB5ln7bCtjjPPPLMuD37KBQux5uPC\nhFHtijKSImyW8raRtGGDfifa+7Bl41gP64eQDQ6xPtqtLHASG22OMuywbbfddtyuWQAbXr3Z\nHsk0pMi4cRujz9WukBPtRcLOGat+dYkRuk4+24hulOXe/OY3V+yocr5rtYP9gqCin03toQ34\nBOZIdGCYgJ4TINzYEf9WK9C2YUISrCFQik5viOwDszjwOOhhlMfvS+G4Ucj/9//+X10HrxZ+\n//d/v1cfCsYqRUOCLEmKepkablRMksoyOn4MsmnFVhKsYeqzCSjpKPktN2tXHZnjAp79+qWD\ndCWKQ+2Xn/76x53vc5/79F5FUu+gcuNi5c4l5XFY/epxAmTS6ZcvtgWnal70AJvwOebr4p6V\nLT/nh9D6KseFyaCxKuvH4ROwB2Wpx54BgVjRF749RGgaJ/D1hyrcO+Epn3LuYI3aRsq6+8Fr\nayZi20jasEGCRf5Rx8adPsri44Ytr7+RZEgUkcPErJwYD8EynnyrHRgv6sfPWm88lmHcuO0Q\ng4ihOkDd3BMY13516ZfQAfJJ+COOtpEFHLKp050u07q+6i+0E3SVuRAdjUG/OMwcSTn7S35s\nfjVJdxyb2ObyPglWiUjDM4rn9mND8shRKBZGxESrsvUT4utAXtHxOsrJ4eKLL674I54G2ogh\naYCsnH19ZZ7yijKqmKSRP5Zx0kChVHTizOMqm7L0x3ieBwUmlVHyD5I3rXRJJk6WcaVP/frl\nKzfKgSk60C8//fLM3Z3vfOdeNyE+g8r1Mo94w6/uDNz3q0fCiKN09WjZeLXfxMW2gxmTVb86\nopxR7z/3uc/VRfhbntahM2eRYtwwciXF9FU744oMf7WFDfIsaYIAlHVAmMWNesGDHVBsETvm\nNYe2x2TOBGibh2mnWONraBfPtuEjH/lIfdjfj622ybOvsWxb3jI+EiDxKfM0PTO5YxP4LkLE\niPbYh0j+IKLGN8nsOs5vcEEKynqjXo9bL7YA0RYD9Elf7rgim0VDWX+s07N96A35JK0s2Mty\n6hpHPlaTmNA+68LvSSbxMfQzBhYojPmwZMaNCGTwi8JSXpQ96T0Lwrjh0CYvz2C1ITND8ZI7\nVxZ+OM6J3abiyFhVe1bKrVjTm66SK3e9fDavBBBDcMKIztNDpqySdAiWXZarzopXuBid49XW\nfycuHXVbvhgvkeUVl4Y9qJ5YftT7OIExaUium+S4W0JavzZFvYnym2R2GVeev0K2Z7DiBD5M\nneLAZOXkoI0oS9nuajjeUb7nr9zNjhiSz90ry0jmfB501RZ9FSr2kK0DDjigOuywwwaJ6H0G\nxLIDC4QMLEolhGXfQraBt7Fs9E0RD33QQGEdZXA89ZmIdTIX9y6qEnfqsb/WjfxhD7nrL5w/\nyjbyzHgR1OH6YZX+cxzBzNfs9nWSKmPbI9maROakZZNgTYrgGpR30tJQ2ggWhoLS4thw3NE5\ntTVTw3X7uFR0Jw/ktREsyNXWW2/dc8htdS1qvIbNhIoTc7za+mv+UQiWX6y+3e1u1yNYq0lS\nomycb7+2Rp2J5cr+61iJH4RRWXaSZwmWn2hAlrY0ajsiwXJHQBtxXCVYXuOkaD8gWNjpfe97\n3zqqtNWuCZbybUu/8aRBjLnj5dW2D3OlvJOnk/cw5co8cZGoryIP9/qjtSZYLqgk0LTH18Wx\njcRPEuw79XCPnqljyGWHqiRLsT5tUV1vI1j2h7LqR5TT9b36hH64GWDcJHVFW56Vg+5JsCYZ\n0TUqWxqK3zXx1SHNwPhwoho6zken2q+ZOoRypWsZnSOrdY1BudRJGzgHRr1dGIn1ztNVB8VK\nE2cWDb2pHzoxyzXlKeMgWGzdg7MOU70o83bxXDru+GqilD8OwVrNtpft4xMNkCF2/wzoM4uR\nOGGZ1u/q6wrkufvURrDc4Sjr4BXJueeeW93rXveq//A09WlT1n3RRRfVt7e5zW3qq3Zq+qCr\n46ddK9/4QfhHHbbsoDpjOn7DXR2JQkwf9j6Wjf4FPPCD1DFoJ2fYuobN53g6vpTT7446Tv3q\nFHeJHGOn77Bc/BW3cV4dQ4m+BKsc++iHSvnK6vLqODJ26kj0IePW5bhQPgnWuCguYTkNxYlV\nguWZDyDRsDX0cQmWyi/MTh5NBItXlKRDsDDeeHbC8stw1SnhCBkjxsKJuKn/OoJBuwiWZfzZ\n8mb3iuAYqxfm6/LqRMzuJMHzHE11ROdouUnyNZUdNw79vPDCC6s73vGOvR0VZTFWjoVxg66O\nq7vE5NdGlKWdOgGrH8rmcDu28uAHP7i3CxMxJJ87WPe85z3rYtq3MgZdHQd3prVr5XhtkxN1\nq2xbW5kYDzHCZ3CWyEVaTB/2XpJBfvvgPXbAObJ+JGPYekbJJyFxfCmrTQ7CdZR6JJcSLGSr\nS9bXj1w6hhIry5QEK/ohdXiUdo6aV4ziDtY4OlbWG9vez1+V5VbzOXewVhPdjmSrOBoKrJ+V\naTyDpUN1RYBji86prSkqe+mIza+Rx1eEOjq35t3BooztsPysXjn4fN5553XSPJ0eK0Un19KJ\nxYocTw97xrSme18P3uEOd6iTGWN2UHSgTWUmjVO2v4zsegdL+ZO2c1B5Ds/ivCFYZWC8Rm1H\nJFhtrwideL2qH9bPJ1YI/LkTX3OVtgrBwq78JeKodqX+jbuDZXnaOc7kB6mCYPGv7Bsyhw36\nH/LrdyCn+C0maDDivp9+DlvXsPkcT4kP5fS7o45TvzrF3R0o+mndfs9NH9wkB93Gb/uqto1g\nSRiRofwmeePGoUuvfe1re0TYcYwEy7hx66BctOXcwZoEySUrq7Nz8qb7nMPi10meCdGwNSJe\n5w3j2AYRLCcUHGU5GWjc80iw9t9//+rRj3509fa3v31ibdJB4XAlwdHYYwWMpZhaLqY33Uuw\n3MEiD/WoF01lJo1Ttq+o+q0Io55Zrql+JwzS+uVrKjtunBi7gIhyyh2st7zlLdX973//vpOM\nY9f0itDJSTt1YjTeuu076X6WIWKIXVOGV5pO3NqpMgZdqYOylle+cvQXbXJcBJA+zuQnwVqN\nHSzbQ9/wPQR9Uf2wyv+pUxJoqhNn8e2iCZBL/Lg+HdnqkgRr0A6Wukh79E3qn220PzzHcTd9\n0ut///d/138f8MQTT6xFiRGYeezEMZ2kLtrOPEVIgjUJkktW1sk6GguvCTFAJz4dpsaIY4ur\nvzbIVGydRZwEKeP2PishjUFnrXHj5NqMt63eacbTJ34Zx6udF73oRdWLX/ziXj/HaZdOCQwd\nI8eslKeDJD5uzZf54jMfACTET3JQT+koY5lJ79Und7DUsya56hBplhuUL7b9qKOOqs/TrMYu\nhJOH+h3bBcGBMNnms88+u15lq9cxr/cuaCBYOnNJl2NuXW0Ey/qwmdKmqMfXg5MQLOpgAnNR\npF1bd8TfvsWrfSHOsjF90D02hg8a1g+1ydPXkK6exQla/ew3Zm2yx43Xhh1n5Oh3xXdc2bEc\nfQc/yRuyrXsSglW2URuhbuXHdkx6r655ZphxZD7Bftxdc2wnqQud5UgDvjF/RTgJkktWVmfn\n5E33/SWhShudDuk41mEco+VwECh7qeiRYOmsdXquGudtB0tic4973KN+dfS2t72tOuGEE4Bt\nrICD4kwOE6pjpFMpBUrGiLcdZZ7ymW+6ECLBYnJWL8r84zwfeeSR1SmnnNIravudwPoRLPWB\nwpbrCQo3UR9j27/0pS/V38Zxpy4UmfjWCSO+zlGoBMgx8dtfpQ2Yn6sEi/H2FaE2ohzlko4+\n2AblOMFhc9pUxKYrghUJnPK1d6+2qbzGcYzjW+Zre2ZxxyQKQRCftrz94uMi0XHxCvGYxg6W\n4xkJViRB/fozShq4ox/KZszUMb6HB7b64Ca52JgLX9IlgXFsiY8ES/nEdxUcL3ZmCfRDYuVV\n/ZykTtqO7fGL9tzBmgTJJSurQURjkWB50F2nrTFimNE5tUGmo6Ucq+lS0T3Ay2rD1bYGo3Fz\n0NR6bUdbfbMQ79knPjx56KGH1k2K59lGbSMOl4mUSVeCFQlElBcdWHRsMU95zw4Wk7Wv60in\nHvWizD/qMxPgP//zP1eQLIOyrbNrgoXeSVbYTSR4tQ1dXJ0MmwiWY+WY2Ef1u6l+d6sYDwgE\nQRuxLgkWaUzCxvNMEFvsWYIVSQwfECYwiWpX2mmdMMR/1MGEqs0qX/vENxjXJC7qb+kTmvKX\ncWACAcBv9KunLFc+x7KOi1gwOU+DYGm3kWChC4ylbSv7Mc4zfS8JlnXzypsP07bt3LkzG3VR\nH67+2SZl8hzvTZ/06rjFBYx63SXBQmex6W222aa2uXH0dtK+luXzkHuJyAw+axBOCDTRPyws\nMdBxukoZlmCp/Cg8yl4qpatPHEjprPn1DodwqVPyZ1tXG0ZWKHyRepzgRM4BYCdeJ9lx5DGB\n6mzFIU5QUWacbJmEhqkXggWJdTJGHvVAUBz3WMeo92CJrLijplwJVr/Xd+oQ9VquqQ3mEyvz\nOh796miSN0ycfbLOWMY4x8pVb79JUlIImWbCIki6lBMnNeoox9h+NxEg5LkAYKJwIurXJsrE\nQBvJHwmcdm3d5I/3sTz3sc2OW5mn33NXO1j9CBbY+DV6F3v92oS/eu5zn7vOj4P23Xff6gMf\n+EC/oivStGF9h4mMZz9MzTfslb7HV4SMqXWjV+wu89xEivTDcc6g3qY2aiOkx3HnuYug/jTt\nYDmnmGfc+ugvdugOFnJm4TVhEqxxR3QNy+m4o7H4qYa2V4QYJiE6qKYm67hxVii7z+Z1dc5k\n4gSPTBwodfsKCcMldOlgbEPT9dWvfnX9RWpX+0152uKcwCBYToZNTqqtfBmPk9PZOkY6uDJv\n6cAkF2U+n0nHAcbXg6QNqsfyw1x1fNHR2n7ONDBRu7vTJM/JmzTL9cvnpx/UazHw2lR23Dgn\npLZD7shlTNAJd3z7OXvJFDtY/CNoI9bl2JDGRIhNKZs4McLmmuxUPOPuxSh2pQ1jk9qsMk2L\n7eC+DLaReMuWedqeIXjgRN/4F/veVqYtPpZ1XOwD+LnAG4ZgsSDjKMDpp5/eq47X75/61Keq\nD3/4w724QTeOswTd/LRnlHGyXNsVPxt1gH7HuvW9TX3XtlzwWQc6EceW+Oj7lG/+Lq6OG/ZN\nn3h256orgmV/8ecsTAhJsLoYvSWQofJIYuiyrwjbdrBU3OigmqCKzqppB8vJw+1lZOBweTWJ\nE9XINeQuHUxTe42TWI5zbkciwUQvMSqJj/UMuoIF/3S2Tq6OWVleB+bEJ9kr8/ls/0qCJd5t\n9Vh+mKsEi36oDzphJg3+9mW/3aVI4i3XVK+O1k8PmFcm51IgAABAAElEQVRi1a+OJnnDxDl5\nOD6xjOSasY/OWAxiXu8lWOxg+YrQXV7GAjsBM4P65bgTj42QBxnqAdgbvMcetfl+bbKcV3FF\nR/QDjlGU089Wo17ZHuUPuooHWECwfB5UrinddpMGcaMt6pE48+vayy+/fGA96nkcC+0+xjW1\nI8aRl3GTJJjG2R/0SJ9p/LhXfDf4qQOMF+1Vx3w92vSa0PHTH9kGdEL9MM6+o8/iYVoXV8cL\nWewS82yfxHBUHSvbZbvpL+NgXWW+tX7OHay1RnyM+jAWDAOHbPAPcrYRLAyTMEhxVX6cFcru\ns/XoHD1joExXTRq5BtPPaSuzi6uTcZNzGSRfUhN3sHQyg8qW6ZZzAh9EfHQEvtqQXJRyffYX\nhPETDaRZT+ksLTfK1YmHMpJPSQC7NBAsMFMXomwmPSYC+9+vPeqiO1jkpR7jHdMon3vytKWV\nectnCZZEJ6ZLsLAvXw+SXtpALEN/CfEMlqSLsVWmZXx23Imn345fSYBIFw/SnIAiMSIPgXr/\n8z//s7rsssvqZ//TBrFJ5SvTNPLGe8t6je21rGmDri7qIAL8iyRpUNkyXVnGMzZiITZ3u9vd\nah0ctJutnse+ab8xzrraruiU4xrz4AshVy7+Yto49+Be7mBRt7am79UXxzq0wyaCxbirx5TB\nttEVbEQ8oqxJ76M98ZoWP+LYqZ8xD/VBVO93v/tVH/zgB4eqXkLJuEiw4qJpKCGrkCkJ1iqA\n2rVIjKU0FBSUiUqCpdNxVefKuHRQZdsshzyUHQcRV2De4yg1BhymxMYdrLUmWL6ysh1lv/o9\nS7B4bUSfwGoUBxtlO4Hr9Jw4NfiYl3sdmM5xEMFq+gUhctSHtnrIM2zw8Cn5JVjonGMKwSI0\ntdXJN5KmOnPDfzrRuIMVZcb7WPxv//Zvq913332FXsb0fvfi3USwxJCxjwRLm2iSK5mKBEsb\noa5y4m3SByY4sdVOIwkBUxY0/DNfU5v49eULX/jC+iOOsa1OrtRdyo9y+hGsqFeOcayj371E\nnEUe/5jMxa1fuaa0iAvpkWDp6/xkgX9zskkOcU0Ey36qJ21lYzx5m/RJm+7iy/LgxT/Gz34y\nduiqvkbf2+QD7Zc6bvvVx6gH9AdfSJ/G9YPKb7rGuthpJEiw7FupY+eff37FP/8oepPcGGe7\n6W++IozI5P1ABDCW0lAoxEF3nAYOTGepQy4da1slKj+KrtI7EVJGZxl3sHB6rprcidFwde6x\nvksuuaQ6/PDDeyvPmDbuvQRLgx1FjgTLr1wzKUqURpFDXg1bh+s4OR6lPPPrjG1Lmc9nd7DK\nV4TW04S3ZYe9xhV3JFiOqQRLzKNcJ0Cx7NcenWgkY5FUte1S8Tqa8WnDNLanvHdcnZRiumQI\n+4qr3aj/MT/3rvzdTYZoQbCIp67yrJfj5ISHDPohtk12Sv0uZpyAtFPKG7ArAn96JwZxoqxy\nxN408vcbq5hm2VhHv3t9Bosyd9IHLfTa5JXlIsHS1/lHvPmbk/2CBCuSKe3Ra7/ypDHO5G3S\nJ31hFwRLuwK/qAO03bo9h2u/YtvVN/XPNPUuji96i//CHobFQXnDXKP+6M/sk/pZ2pyLvkH+\n0fptN32QYMVFk/nW+po7WGuN+Bj1YSwaRiyOgeHMmBx0nDodHZuGGsvFex13dMZR2XWWkWBh\nMBIsV1HWaztiHccdd1x1xBFHjP2rvyiLe4zJfjWt3sr85bOTuqRgkpVbOYHr0HRwZd06dwmW\nbSnz+cwZLMZS5228+hAdpWlN1+c///nVE57whKak3sqeRB0a42gd7jg1ESydp1g2jb+Vmld5\ntD32P95bhqtYOuYxbdA94wOJcfEQ80uwGJPojLWJmNd7d2IkWNgFBAsZXCWP5lcfHCfKY1/a\niwRLbChHP22vE1ETrhIs2h5fj5mX8XMCU37sm/lsa7yKOXGWjen97vUZkWAZ169cU5pjri6C\nnf5JbHhFSBi0g+Wk7WRMGe0xxhHfFsAFkuWCKubTpvWNMW3Ue/vN+Kkr2B86JsFSt5rGUX0z\nj/WLo+nUA57I5B/ym+RZfpyr40VZF8Tqd6mfytce9UfGt13VV2zaV4TKaCuzFvFJsNYC5Qnq\nwCHilEtDQWQ86K7j1BhV3HIFWDZF5cdZqfTGkReDI8RXhDhcnYifi7DeJuN0RXfGGWfUsib9\nL070tmMUme7SuNswycpNB63T04Fp8GW7jNcZ25Yyn8+s+PhUAhN5DIPqiXm551dS7HQ01RdX\nwBASSYB19NvBcvJFPyELOu6yfp7Jix6JFXmjA23bwRKzqJdN8pviXJ03pUmwmFyjM9aWmspI\nsNi5Ikiw7EdJsMTQPmgfxkuwnFCRCU7arySiqU2+PqYMf47E4Bhgk6V86yev+bjne3B8C81A\neyWRjrFpg66SKcaaf4TYv0HlY7rl1Bl0QCz0V9gxfqgfwWKM7W8kU95zdXcy1l/elwuqmK5N\nj+OTohzuxTzuYEkQ1Vt9rv2KMuxXOW+UZfQHYKhcfVqUN8m944UMd7AcO/W8tG37ql0Nqj/2\nV38Vd6UHlV+t9CRYq4VsR3I1ntJQEB8Jlo5ThzzqDhYKr7Jr3NShs2QiweEiF6fHzhEH7S1T\nGi5lDX4Mddj36ZZru0aChfHGybGtTIzHaMFJrHDeTJxiHfMOutcZOQE4Tk6oZXnzu/PXtmtD\nOXcmy9eDpA2qhzwGnI/kxV0P07hGgoXDFQdJgDtOyohl1RUmcvJbNubxnrFCX5QLRrH/6LDy\nLMNVmU62MW3QPXg37TZQzgmFdkRnXDr7WIeTcEmw7Ic7eZYpx0k71V5KAkQ5MNCu1NE4SSmb\nsZQERYJlHeCsfHGNcsyHvHe+853VO97xDkXXu4bgA0GybC9xwI0+A1+hHzJuQNF1kl0gOla0\n3z6IDYU4h4Xu6mtKQVHHnYzJ4z3jqp6VZeOz9tukU+4yd0Gw1HXws5+SDuvGJ+O3m9qt/9HW\n7IPPjr2EEZn6MDGxzKTXqD/lDpZEq7Q5+yoBHNQG+4uegBl2OOq8MKiOcdKTYI2D2hqWUdl1\n1LFqV0zPec5zeitYHbeOTUON5eJ9dFYacjSIuINFORw2RonyShKIt14NlziDTo8y/VaZ5H/z\nm99cvf71r6/e//73V3GFriyuEiwnl1FfE0Kw3L1Cns5bZ0PcsKF0uI5Tk9NDJuPJpLXtttvW\nVfRbodmecleEgqWjrIW1/OeqkeSSYDFeOCd3GiLBckxdEfYjWDhK8rf1m7rRq0iwqFtiYn/K\nOpiYdb6DdJk6YoA0g7cTR0zj3rEijw6deG2C+zI0ESzqsR/lWFmHuHgVWwlQ7Bv9NV6bLNsE\nLpdd/+tBiAXj8+lPf7q3A6MNUodETfmm0S/bQp/QY8befOgEbacd0R+UeDQ9S4ogAPoh45ry\nxzj6bhuI994xJF0sxIZ8gw66R4KlzVJO/1re89wULKvPiHnAC7/ijj1pb33rW6uHPvShPaxj\n/n73Ys742U91NNbdZnORcMR61DvHXgITCZZ9jOUmuXe88BH6NPskwbK/1iM56ucfzcvVcRQb\nP5kR80zjPgnWNFAfUCerac9UaChOQLHoH//xH1eQK1bTGp/5dNA6qFgu3qv8KLxlnNDI58rT\nCRiD14G4YiNfabjEEZAlIeL5jD6vCcn38pe/vHrNa15THXjggdUf/uEfVmeeeSbFVgQnYf6U\nCMFV0YpMfR4w2rjToPPWSPsUXSdJh6EMcAJHx60sQH7yWr8TM+O9xx57VJ/73Od6RZSh0+gl\nXH/jxG2emFbeR6KqXpnHA+7ukoGNzlddkmDFcbS8jpE+tzl786ILOFTlUo/9dyx9tkzsn3WZ\nNuhajk2ZP2KIzUkGov6XZVxwSO4hEdiI7XZcLRfrIE5stRdtLvaNeyce0qlDO1UuOk+9d7zj\nHasHPvCBdf1f+9rX6mTrAGcJlvKjHMkWei9xdIzBnfK0w7LWPegqRuAppvqRQWUf9rCHVY95\nzGN62SRm2gBjYx+cpMk8iGDpH8kbdSqSiWHsf5BOsehlQemrZBaK/G1Jf+1N/cME/Tb42U91\nzB0s5DBGjneUax/VP9O0Pcfe/q/mK0L0h354KJ+2qN9eSx1zvGhnmWZf4tWxs78cdEdPmrCJ\n5Vb7PgnWaiM8hvy//uu/rvbaa68Vr61UnCgO5/sP//AP1ec///nqla98ZfWCF7ygN/HquDXU\nWC7eo4SQAv41KbuOESdPwGHrjOMOFvFNE4ET+B/8wR/U5c/oQ7AkTrvttlt10EEH1flPPfXU\n+hr/cxK4733vW0ePsiWPwYJJnAglRzqbWNege8sog/yMlQ6uLE88kwUTLE5Hp/mJT3yi3t07\n55xzekWUoVPsJVx/Y5x5Ylp5328Hy5X9Xe9617pYvx0scY/ydX6MP20CX/Uj5uOevOhYbLsr\nVP4uJEEdqB+u/y86yEG6bBmvjk3crTSNKzZCuxkD/rlgcAKPeb23b74i5AqhsB/lDlbsKzKc\n2Iwv7ZSJGXm0y8AEaznjJM0SLOL9NaF50THah22LXeyb+cQJGRBN+kgaekw7HGPShwmSIvwB\ndROsf1B5dNW+kVdZkgoIlgRYf0W+Qb8kVM/J62TMfbSfiANpTcGytqfMgw7hM6mPcXTHPuJe\nlml6Fi/0Q4JlPskmz9qcaV61G/XMeJ9NdwcL/6UPs4+WmfRK39Ejv92IPMdOPXdMrSu+sreN\npjVdHUexmZVfEo5MsPiwHb9Iagvvec976kO5oypUm7xljGeHCIVh1aMhNBEsscGRHnDAAdWz\nnvUso3q7URpqL6G4YZxUdq9x7FyJ6SidEBDjK0pF0g6dtnG+HuSjcUyin/3sZ9fJY14nqXvc\n4x7VS17ykvoXWR/72Md6q0HzOdHf5z73qaNG2cGS0DQRrHEci3W7y0OD+hEsnLhOgInfPl90\n0UV1X3QUPHjfNPY6SvPUhVv+82vwJJc7WE48EhycmWNoHRIUV++xGvULvbCdUX9iXiZqHKpy\n0W3HY8cdd6yzrgbBcuKIbfGeNvuK2b+7WDp783LVHtzBwi6Isx8lwRITx0lssRWCE4w4ip3x\n5GGCNZ5ngiTkDne4Q/2NMOLOPvtsLr3xsw7GBuwhTshxwrYtcVx5NcO4kBc9pR2jEqxJdrBo\nU8TfurUZ0sTCftBnFnvkkdAQF4N6ThkIkDIiqRrG/sWqTaf0iSz6sDXr8Rrb1O9efWDsIMlR\nH2Ld2BKyJf7KtC/qn/HR9oizP6u5g8WYMbdEguXY2a845vggx502DkOwyv7uueeeNU8p+4+8\ntQxDESzYJBMl//i4HQcqfY5XVh8f+tCHaocVAVvLDi1CXU4yl11/xkLHrGEM2z8V1xVgWzmM\nU2WXYEXldgfLFbtykRd3sHimjRJCngnoB4Ff+TzkIQ+pV6TxQG6deON/GhLkh9Uvr8yYuCBl\nMUxCsGIdytRh6WyMH3QFO3aceL3mDw4og1GXOBCPTYCnkwWrYCdmXiMQdBTcK6PJSRjnJEn+\ntoBdQgh4jQKZiOPrVjwTNTtq4KNMdY54JmvJYKzHiQDdMb/lYz7uqRf9se30D5lMIre97W3r\n7OJRP1z/n/rPc2y36f2ujmfbbgNlGQvljrODhZ7GHaxI3JEf+8qz2IgVfSeIo22JdoZ9lhO0\nZ+nYwQI79I9zWJA99UaChSzkKsPFgPkiycDXizltpOyovlyfA/lEdwjG1Q8t/9FGSaBZLKeN\n0hb7od8yL59rQL+jDZkmwbrTne5UR5nHK5ERB8uVV/O06ZQEi0Xyeeed1ys+Kobqg/jFvooF\nwh1j9coKHVv1z3jzmx77o9yIieUmudJ3/IPnTpFlf9B/fFPEx/NX1tnkd0zzapv1rRCsv//7\nv+99ssF8a30dimAde+yx9fY5DugNb3hDvVLivvzHRMOhvnvd614rXsGsdafmuT4mBY0rEqzS\nUAb1UcPUYbflx1mp7Dr1qOwSLHewzIM8nYmyMd7S0D17AMHisCfhjJbXhCX54YwZofxDrBIs\nCB6/cBvlFaHGGifCcR0Lr2TAinMjMTBW4C52pukErI82MJmRr4lgxYlOGV7VB/MY33SFYGGr\nTEBMwDwbnHhYXTJpgI/OVxJAXtrq+FiWq/qFozS/5WM+dJrJE/2J+SBUyHbSd3Fh2dg/6zJt\n0DVOHm15HQvSOSPCRBD1vyznToE7WCw8GD/bPeoOVmmn1h3tDPuUVNgeCZZ/QolzWOgXxwXE\nX5wZG/BXhlhrqxJRZEeChY7RDv2RdXvF18dPOxgvKYoEq7QF88ar7aO8O4XW7cQJPubTbynD\n14RNu1joOWPGQoKgbmiTxMV7npuCWNmeMg92RsAnRYJlm8v8bc/qugQ89jXqrGPsmCtPuzHd\neJ/Nr01j+/ZJbCwz6ZUxw67iDhbPBu7tL3Eu+rQNfbb5m670F6zEqynPNOJueEE+oOZnP/vZ\ntRNB8TkrwmuRpz71qeuUwqBwlo9//OPXScuI4RCQPJCbiVDW74Q6nJQbzpeQV2fXVg7D98Ns\nKn1Udrf7JVgqMBNL3LVBPgSrJDseiIdg4dxwFE0H1ymvIflK6kEPelCd/yMf+Uh9+J08BDBC\nDvXxWoddVRyxbbshV/P/1oGeGkrHwiR6yCGH1K9eHvGIR5htnevpp59exz384Q9fkaYTw+jt\nCxl0XNbnKvjLX/5yb9dAx0d+HX7T2NN/JgwdKfmbAv3Fid7znvesD0STh8nZV4KRYNFWnm2D\n/aAMaeXrReIjIShXx6Qb1CnHjXjqgWChF076/XawnGyVOejqZBgnpLJM7CN2gA3YpzIvz078\n7uiyg0Wc7Y56RX7lO04lthIp+yZO2iIywKxsE68IsSkx58zmu9/97uq9731vb5FjGnVQr5O8\nWNsW9ZK6fEXIPXpHO/AB/KOvMbz97W+vd4xe9KIXxeg6LxFMkBJS+7ciY/Fg+4imv7Rf/+UY\nEi8WESPKxIPuu+66K1G9gF7Tb8fH8dDGyBjvewWLG/Nou0Vyb9GJ37vwwgt7yba5FzHgRrz0\naeiAQSx4dowdS/PQP9LUU+PVR/NrI9i3hCbqg+UmudJ32u9chqzYH8ZRvSfNHSx++AJZ1meT\n1hYYlyY/2ZZ/reKHIlgA/+IXv7huE475ggsuqCegtWrkMtUTCRY7WBrEqMqjYeqg2jBE+XVU\nXqOyu/LUuSqX1b6kS9m0lfr4p7HGV4Q4epzgF77whZ6ztyxXV1M6QdrDrhevnTE0HSgYOUmw\ni/XFL36x/mWjv4SLMst7jdU6SNdh6Twhicccc0zFuah+BOvjH/94bdSlM3escHKRYCnf+kzz\ncDJtMQ/3TgISMuIMkCscqI7S+PLqbhXY8DqJEImSBAvnByaQLx2szpsytBWnz65HjI8TgfFN\nbXKCQQfQJcaW3RJ0jV0fx9OdIOokRFnWdUPK4P+dPNomQyQ4FtxzMJZ2xYme+BgkDE5c2ICv\nCJk0tCHL8Ewe++GukVhpT/ZN25N4IQe51KutosMQugc/+MFWU79+p5/ve9/76p1KEvQd1EF+\n+wXe6I9t0e4ow5iog+id7aNdtpl8BPQE/8A14qjPYZz1A/qRG0o2/2/7SOWe+pSlDYABaVG2\n0tyd8kyd8WDHpM0POZRDmxkT0hhLSLJ6b7mmqzoV+xvzuYOF3cWdtNi3mL/tXj0Qv0hIYt2O\nsfqlPHyHfsg4ro6h7bE/6I46PQwOUWa/e2yDsccOIsGKdoKu6x+Q5Q4W/h4Mo3621UV/Hdu2\nPNOIH+oVYWzYn//5n9e7CQBnAMD/+q//qo4//vjeSs60vI6GQJxgMFInWQ1pWGkapobaVI40\nHIzGq1OPyu6KXTJlnvL8FfKVo+MmjleEtN1JDoJOnXGSJx9B8iPxIK58TUh7yOeEbDtKp0rZ\npmAdTQRLZ6OB+3qzSQ6LDNLZZRNr8+nYSqen49IR2IY2gmV55SnfK/HmMa68esCdV0meP/H1\nEnkhWLxmpQ/iLimOOmda6ewkBjhM8ze1ST1Uf8hrPUz47qK6E2Q/1H+elWHaoKvjqe415Y/Y\nQrDQ4aj/ZRntAYJCYFKSYJWvBy1LHZIWsXGik8CIo3UbjwztyknR8ZNQkIf87GLhPz7zmc8Q\n1ZtMwRz52iV188+2qJeUia8IGSPHy3aRx2CfyjGTTKFT+g2JkmWbrvaPNO8dc8eQePohJlGO\nk7ZYmsaCjDbxikrbo+3224k/6pply6tlbE+ZDvnhH59boe398CvLxmf7oB7E/k5CsEob1Z5t\nN21wXGN7xr1XbxibtleEYOQ4U4/+1z+BpM+ObeBIBW/K3CWkzY5tzDft+5EJFg3mQ5BsTwve\nX/3VX9XnUJ785CfXr2wicx+3gzgtdjr4unD8NlA/eUyyJ554YsUvz5qMZVB6P9lrlYaDM/Aq\n1n7EicD0flcNu59j04lpvDooxxX5OksdpXIlNrENpfGSxiSKrhj8tZiGYTxXDUniQRyv36ib\n14QEnDkETYLlL7+6IFg6Fg3cT0zUFRf/+XqQg/hlcKwcO9OVr4PUSUeCFct4L67K8Uo95jGu\nvEqw2MG67fWHocHSCRoc6auOTxIl8Yn1miZpsR4dIxOB+Z3IzcNVnVJ/yKtuQUyIZ9KPCwzK\nxf5ZF/HDhEGTITKiU/YVoXbRVEdJsNhJGUSw6Kv9EJuSYNm3EifaYF7b5S8I3ZG0nXvvvXd9\ny+TMeESbbSJYtkWcKIz/kXihX46X7bMu5BlXjpnjSv0SBOMs33S176R5r/9ynIjnnz4ryrEu\nyYlpcZdW28MWtUf9U8TBsuWVPIy5Y1Km88zZVPvrL50du6b8TXH2wcVbrE8sKNdmc+ibfijK\nN79jTH8YY3y/2AyDQ5TZ795xRL5Elvxx/EgzH2m+IvSNhSSQNAPzAT+W4ooeoidN/TX/tK4j\nEyzOzzz3uc+tt9NRGkgQn25gJf+ud72rduIQrUkCDovvIHEOBmf/ile8onrd617XVyREbL/9\n9qtfX9KOpz/96b0Jm4KD0vsKX8NEXxGidOCrMx1VeTRMnWBTF1RqlV1najxldBQ4FYJOrDzg\nTppOQMftawkdGHk8+9OPYDmZkx8Swveu2DHC8MVHgiXRm4Rg6bB0LBIsnJBOmLbEIMH6oz/6\noxhd3+vEnFTNoHzrs5/0CXzZQYn1ed829tSjo7SO8uorQnawmPAgWRAsyBXjg2NqI1iOJzJt\na+ns1C90x343tcl86DXBvNy788NOWjlZR1lOOpQZJkgGnTiayjgWpEGwsIWo/2UZCZavUxg3\n7BQ7sR9lGcZPXbA/9h85yLBvJU7IEjPtSoIcd7DI94AHPKDWIe7j2Gmzjh19pH7liRPtYHKL\nemfdtgvZBPNw37aDhb5J8uwf+dtCJCGOgeUcQ+LJZ7uiLPtpGdMkWBxr0JawRe3Rs6SxT9Qj\nuVMOV7CyLTE+3kffeP/7379Osj8xX7978dYn66MZVzGlvOPsWBJHXcyh6hhxBtoOTi680AkX\netTFvBFxsNywV86ecbxC7BxTxos+WFccP+qN+Oh/3cEq9Yu2+KOgr3zlK732Rlsetr2rnW9k\ngsV5GBT13HPPrc9s8N0rwmtf+9p6y44Dj/x6YpJBgiDhkE466aTqhS98YXXkkUdW1COoJShM\nrvzS8YgjjqjJ2NFHH12zcsoTBqWX8qb5LIHgUDIBBSLoGOqHIf6TYKnoKL4Hzi0elZ84jVnj\nJg5DJWjUOjGJTZ1443+lsbsTMizBwtiRrxxliwWHwcVHguUOlt+jskzb1V0yCQP5dJjqrAZO\nWtMuFiSAhQW/lvXVFnkNOjYnU+OVryPQ2ZDODhMTtBMxcZZvG3vqYXyic6JcDBAsxk6nz2tC\nxp2xceJpI1j2A3niJX7Woa4wbua33ebhaht1rOYlzb91SP/RAcifIeJhXaYNukocIs5lGbGl\nf/TB9mkbZX7bFgmWefoRLORBzpwIo45Tr6RAnLRFZJvXNrnoKnewaJNfQY/4KkuChTz+2RaJ\nBuQbvLUxsKFtBNtXP1z/n2V4LidAfQ56px9yoWb5pqvtIU0clKXNEA8OEo4ox7rKtmrP6Lm2\nTj+1RwlW7BM70094whOi+PqePMpYJ/HGCM9hMR677LJLHevYtZUp4+2DfbK/Zd2Oc7Q5bUbM\nomzGkw85Q9Ivu/6MLzYS7YMyEYdYdph7fln6spe9rPea2nHUrtzF8hmZ3GMb6ggkn3Y4b6i3\nsX4X6Cy8+/U3lpnG/cgEi4O/DJAOhp/QM8nwIUkC23o4IQZv3MArExRc5WES5Se4p512WqNI\nvpOEkTDhETDsRz3qUb38g9Ibha5hZJw4fEWoYeoExGLYZpWOEWfBt0FURuRo9DpwjVijII9K\nz+qWoLPWidSRN/6nHB2lhE5DIRuTKRNRE1lm8o6vB5UtwYK46/ydlCH7OCF3aizTdpUgSBjI\nh77QdydkHTJpTeewjjvuuFrH0bGmYNvOKD5HoePSScY28OqUCY0xkdQy9h5mb6pHnYjOtczH\nShUyTB8JTsqcgWsjWGKsfMrphEtnp+7iJB3/pvaYT/2Jsh1z9AJH6xhRr/rPvZMO98MEx1O8\nm8o4CfnlZx1/tIFYrmkHy3T74bNX+wou2oZx5IkEq8SJdO1Se8W3Eoful8HXhJYhXcwdO9Ko\nn7rQNXFSN7Ql9NGyJR5xXEqCpf5ilxIEiVLZ3vgc6/CecsiwP8Tzz+dY3raWdblIgmA53tii\nfWDSx7/pG8EFEsvRFMfLeiinLRhXXvWN/ApO0u3YlXnbntV18bO/tt9y6lG0Oe9dPJjXqz/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12g7yeE9ZJ6BRCJYERRujftsQXyOLP3Vq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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_plot = data.frame(time = 1:length(test), test = test, VaR=VaR)\n", "\n", "ggplot(df_plot, aes(x = time)) + \n", " geom_line(aes(y = test)) + \n", " geom_line(aes(y = VaR), color = 'red')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Видали? Получилась кривая $VaR$! Что нужно сделать теперь? Верно, провести тест Купика. Не хочу загромождать текст. Скажу, что получается $p = 0.52$. Лучше, чем было раньше. Ожидаемо? Почему? \n", "\n", "## 4. Систематизируем знания! \n", "\n", "То, что мы делали до этого момента, называется историческим способом оценки $VaR$. Нужен квантиль $5\\%$? Вот и бери $5\\%$ худших значений. Работает? да. Но как-то неинтересно. Давайте теперь по-настоящему моделировать. Например, я решу, что мое распределение доходностей нормальное. Выше мы с вами обсудили, что это надо бы проверить. И даже проверили. И выяснили, что это не так. Скажу больше, чаще всего это не так. \n", "\n", "Давайте сделаем вид, что мы плохие исследователи, которые не проверяют предпосылки и слепо верят в нормальные распределения на фондовых рынках. \n", "\n", "Доходности нормально распределены. Тогда мне нужно искать $VaR$ в каждой точке чуть-чуть по другому: взять последние $N$ точек, подогнать под них нормальное распределение и найти его квантиль. Подогнать нормальное распределение просто: нужно взять распределение с таким же средним и дисперсией. Утверждается, что оно максимально хорошо описывает точки. С чего бы это?\n", "\n", "Сначала сравним VaR новым и старым методом на всех данных:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/html": [ "5%: -0.0392899783341717" ], "text/latex": [ "\\textbf{5\\textbackslash{}\\%:} -0.0392899783341717" ], "text/markdown": [ "**5%:** -0.0392899783341717" ], "text/plain": [ " 5% \n", "-0.03928998 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "quantile(R, 0.05) # Исторический подход" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/html": [ "-0.0448148220317302" ], "text/latex": [ "-0.0448148220317302" ], "text/markdown": [ "-0.0448148220317302" ], "text/plain": [ "[1] -0.04481482" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qnorm(0.05, mean=mean(R), sd=sd(R)) # новый уровень де***a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Похоже? Нет? Теперь построем кривую $VaR$!" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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iPCkeDLzlNCwEeE0V6nNPTMhvGzKYu8s5wJ1szMZ6oDZ4I1VbhzsGkg8Na3vrV6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CRTJhQqG/0l4W4yb12Lu0yOm4tBkHOKfI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\ne+9tLUogWq7Db3xR98SBKfvFh7gaGhoyolx99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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N <- 40\n", "test <- R[(N+1):length(R)]\n", "VaR <- rep(0, length(test))\n", "for (i in (N+1):length(R)){\n", " train <- R[(i-N):(i-1)]\n", " VaR[i-N] <- qnorm(0.05, mean=mean(train), sd=sd(train))\n", "}\n", "\n", "df_plot = data.frame(time = 1:length(test), test = test, VaR=VaR)\n", "\n", "ggplot(df_plot, aes(x = time)) + \n", " geom_line(aes(y = test)) + \n", " geom_line(aes(y = VaR), color = 'red')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "И тест Купика!" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/html": [ "0.233488486482158" ], "text/latex": [ "0.233488486482158" ], "text/markdown": [ "0.233488486482158" ], "text/plain": [ "[1] 0.2334885" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "L <- length(test)\n", "K <- sum(test < VaR)\n", "a0 <- K/L\n", "a <- 0.05\n", "S <- 2*log( (1-a0)^(L-K) * a0^K ) - 2*log( (1-a)^(L-K) * a^K )\n", "pval <- 1 - pchisq(S, 1)\n", "pval" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Чем метод лучше исторического? А чем хуже? Дополнительный вопрос для тех, кто читал \"Чёрного Лебедя\": А что вообще про всё это думает Талеб? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. Быстрое знакомство с ограми\n", "\n", "__Внимание!__ Ниже будет происходить полный трэшак, который мозг среднестатистического второкурсника не переварит. \n", "\n", "Это огр: \n", "\n", "![](http://multhero.ru/wp-content/uploads/2013/10/shrek.jpg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "А это ОГР: \n", "\n", "$$\n", "f(x) = \\frac{(\\gamma/\\delta)^\\lambda}{\\sqrt{2\\pi}K_\\lambda(\\delta \\gamma)} \\; e^{\\beta (x - \\mu)} \\cdot \\frac{K_{\\lambda - 1/2}\\left(\\alpha \\sqrt{\\delta^2 + (x - \\mu)^2}\\right)}{\\left(\\sqrt{\\delta^2 + (x - \\mu)^2} / \\alpha\\right)^{1/2 - \\lambda}},\n", "$$\n", "\n", "где \n", "\n", "$$\n", "K_{\\alpha}(z) = \\frac{\\pi}{2 \\cdot \\sin(\\alpha \\pi)} [I_{-a}(z) - I_a(z)],\n", "$$\n", "\n", "где \n", "\n", "$$\n", "I_a(z) = \\sum_{k=0}^{\\infty} \\frac{(\\frac{z}{2})^{2k + a}}{k! \\cdot \\Gamma(k + a + 1)},\n", "$$\n", "\n", "где \n", "\n", "$$\n", "\\Gamma(z) = \\int_0^{\\infty} t^{z-1} e^{-t} dt.\n", "$$\n", "\n", "Это формула плотности вероятности Обобщённого Гиперболического Распределения. Какая была проблема с нормальным распределением? Хвосты плохо описывало да ассиметрию не поддерживало. ОГР умеет почти всё. У него целых 5 параметров: $\\lambda$, $\\alpha$, $\\beta$, $\\delta$, $\\mu$ и $\\gamma = \\sqrt{\\alpha^2 - \\beta^2}$ для простоты формулы (хаха)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Собственно Гаусс, Стьюдент, обратный Гаусс, обратное Хи-квадрат и многое другое - это всё частные случаи ОГР. И раз мы не смогли хорошо подогнать гауссиану, то ОГР то точно сможем! За работу с этим огромным классом распределений в R отвечает пакет `ghyp`. Его нужно установать и подключить. " ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "# install.packages(\"ghyp\")\n", "library(\"ghyp\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "В нём есть довольно много хороших функций. Функции для подгонки: `fit.*uv` - для подгонки одномерных распределений, `fit.*mv` - для подгонки многомерных распределений, где `*` это `gauss`, `ghyp`, `hyp`, `NIG`, `t` и `VG` для разных распределений. \n", "\n", "Так как мы очень крутые, то подгоним сразу самое общее распределение под наши данные:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: fitting procedure did not converge!\n", "\n", "Asymmetric Generalized Hyperbolic Distribution:\n", "\n", "Parameters:\n", " lambda alpha.bar mu sigma gamma \n", "-2.420002301 0.069852875 0.002814606 0.027191472 -0.002094913 \n", "\n", "Call:\n", "fit.ghypuv(data = R, silent = TRUE)\n", "\n", "Optimization information:\n", "log-Likelihood: 561.189 \n", "AIC: -1112.378 \n", "Fitted parameters: lambda, alpha.bar, mu, sigma, gamma; (Number: 5)\n", "Number of iterations: 502 \n", "Converged: FALSE \n", "Error code: 1 \n", "Error message: \n" ] } ], "source": [ "ghyp_dist <- fit.ghypuv(R, silent = TRUE)\n", "summary(ghyp_dist)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Что-то оно не сошлось. Но это не значит, что параметры не определены. Смотрим на результат:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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B8AjczpdtB2lDzlwT1WEPrRhqruJxrUf6LSds1Iv1RxK2bEO8oOnh0Bf/i3YmE0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"text/plain": [ "Plot with title “Histogram of data”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hist(ghyp_dist)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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IEoEAWiQBSIAlEgCkSBKBAFokAUiAJRIApEgSgQBaJAFIgCUSAKRIEoEAWiQBSI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\nAAAASUVORK5CYII=", "text/plain": [ "Plot with title “Generalized Hyperbolic Q-Q Plot”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qqghyp(ghyp_dist)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Но может ОГР эо слишком? И стьюдент был бы лучше? Или NIG? Для этого есть информационный критерий Акаике, $AIC = 2k - 2 \\cdot ln(L),$ где $k$ - количество параметров, а $L$ - правдоподобие." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Currently fitting: asymmetric ghyp \n", "Currently fitting: asymmetric hyp \n", "Currently fitting: asymmetric t \n", "Currently fitting: symmetric ghyp \n", "Currently fitting: symmetric hyp \n", "Currently fitting: symmetric t \n", "Currently fitting: gauss\n" ] } ], "source": [ "aic <- stepAIC.ghyp(R, dist=c(\"ghyp\", \"hyp\", \"t\", \"gauss\"), silent=TRUE)" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Symmetric Student-t Distribution:\n", "\n", "Parameters:\n", " nu mu sigma gamma \n", "4.75979506 0.00111300 0.02729458 0.00000000 \n", "\n", "log-likelihood:\n", "561.0303\n", "\n", "\n", "Call:\n", "stepAIC.ghyp(data = R, dist = c(\"ghyp\", \"hyp\", \"t\", \"gauss\"), silent = TRUE)\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aic$best.model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Попробовали все варианты и выбрали по критерию Акаике лучший! Ай да мы, ай да молодцы! Но как найти $VaR$? В пакете `ghyp` есть готовые функции для поиска квантилей. На вход они принимают вероятность и модель. " ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/html": [ "-0.0412383612880052" ], "text/latex": [ "-0.0412383612880052" ], "text/markdown": [ "-0.0412383612880052" ], "text/plain": [ "[1] -0.04123836" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qghyp(0.05, object = aic$best.model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Построим кривую? Только теперь в каждой точке нам нужно будет:\n", "\n", "1. переопределять лучшее распределение. \n", "2. Находить его квантиль.\n", "\n", "__Внимание! Этот цикл выполняется довольно долго.__ А ещё генерируется куча текста." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": true }, "outputs": [], "source": [ "N <- 100\n", "test <- R[(N+1):length(R)]\n", "VaR <- rep(0, length(test))\n", "for (i in (N+1):length(R)){\n", " train <- R[(i-N):(i-1)]\n", " model <- stepAIC.ghyp(train, dist=c(\"ghyp\", \"hyp\", \"t\", \"gauss\"), silent=T)$best.model\n", " VaR[i-N] <- qghyp(0.05, object = model)\n", "}" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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eWWVRKs/gf2Na95TfWqV72q/4LXaInpwVqjA7eGm50Eaw0PXjY9EVirCPiZhi22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\n41hFg7rINjTVFUlVXKpqSjtJnF4Zyiz3zE1SziLTuk9J2aVuPFj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2KZ4lQoxmVI5d624qb9o4DSR10x4UpcqyrUyfXrnfpgBjXtO7WXoc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\nmWiqI8bheeRXYHiJy3H0PrrVfW7oCxwO7AmLNoV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B2YGSYPG6kAQpwQj3+sMLjw6cA1Uh8RXil9OuJFgcNLKlCykWOu0XXnghlUwxBItf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\nAAIiWA1QySqiEBAChSFwwgkn2MiRI32gddZZx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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_plot = data.frame(time = 1:length(test), test = test, VaR=VaR)\n", "\n", "ggplot(df_plot, aes(x = time)) + \n", " geom_line(aes(y = test)) + \n", " geom_line(aes(y = VaR), color = 'red')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Надеюсь, что всё получилось ок. Сразу тест Купика." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/html": [ "0.867776422075055" ], "text/latex": [ "0.867776422075055" ], "text/markdown": [ "0.867776422075055" ], "text/plain": [ "[1] 0.8677764" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "L <- length(test)\n", "K <- sum(test < VaR)\n", "a0 <- K/L\n", "a <- 0.05\n", "S <- 2*log( (1-a0)^(L-K) * a0^K ) - 2*log( (1-a)^(L-K) * a^K )\n", "pval <- 1 - pchisq(S, 1)\n", "pval" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ваши выводы? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 6. И снова метод Монте-Карло\n", "\n", "Зачем он то тут? А затем, что мы умеем находить $VaR$ для ОГР, но не $ES$. Ещё раз $VaR$: " ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/html": [ "-0.0412383612880052" ], "text/latex": [ "-0.0412383612880052" ], "text/markdown": [ "-0.0412383612880052" ], "text/plain": [ "[1] -0.04123836" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qghyp(0.05, object = aic$best.model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "А теперь $ES$. Генерим дофига огромную выборку и смотрим какие именно потери попали в хвост. Считаем среднее по этим потерям. " ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Warning message in rt(n, df = nu) * sqrt((nu - 2)/nu) * object@sigma:\n", "“Recycling array of length 1 in vector-array arithmetic is deprecated.\n", " Use c() or as.vector() instead.\n", "”" ] }, { "data": { "text/html": [ "-0.060091398510302" ], "text/latex": [ "-0.060091398510302" ], "text/markdown": [ "-0.060091398510302" ], "text/plain": [ "[1] -0.0600914" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = 10^6 # Количество точек для Монте-Карло.\n", "mean(sort(rghyp(N, object = aic$best.model))[1:N*0.05])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Сухой остаток: \n", "\n", "На рынке много ценных бумаг. Хотелось бы перед инвестирвоанием измерить их риск. Можно делать это с помощью разных метрик. Одни из самых распространённых: $VaR$ и $ES$. \n", "\n", "$VaR$ - выраженная в деньгах оценка величины, которую не превысят ожидаемые в течении данного периода потери с заданной вероятностью, то есть: \n", "\n", "$$\n", "P(X < VaR_{1-\\alpha}) = 1 - \\alpha.\n", "$$\n", "\n", "Говоря нормлаьным языком, это квантиль уровня $1-\\alpha$ для наших потерь. \n", "\n", "Минусы меры: \n", "\n", "1. Это всего лишь квантиль, оцененный на онове наблюдаемой выборки. \n", "2. Ссылаясь на VaR, как на максимальную потер, мы ожидаем две или три крупные потери за год. Однако ряд из прошлых значений модет не включать многие негативные события. \n", "3. Показывает нетипичный, экстримальный уровень потерь \n", "\n", "$$\n", "ES_{1-\\alpha} = E(X \\mid X