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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![7119_3fc124e7b21292f09954b93ba1ff0b2cb2f7f38e.png](attachment:7119_3fc124e7b21292f09954b93ba1ff0b2cb2f7f38e.png)"
   ]
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![Heading.png](attachment:Heading.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# HyperLogLog & Count-Min Sketch\n",
    "- работаем с мультисетами — множествами, где каждый уникальный элемент может появиться более, чем 1 раз:\n",
    "\n",
    "*{2, 15, 1, 1, 36, 2}*\n",
    "\n",
    "- актуально для больших данных;\n",
    "\n",
    "- HyperLogLog может определить (приблизительно) сколько уникальных элементов имеет мультисет;\n",
    "\n",
    "- Count-Min Sketch может определить (приблизительно), сколько раз встречается в мультисете каждый элемент;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Постановка задач\n",
    "Решаем 2 задачи в \"точном\" виде.\n",
    "\n",
    "Дан мультисет, нужно найти:\n",
    "- количество уникальных элементов (англ. *cardinality*);\n",
    "- сколько раз встречается каждый элемент.\n",
    "\n",
    "Для нашего примера:\n",
    "\n",
    "*{2, 15, 1, 1, 36, 2}*\n",
    "\n",
    "ответы:\n",
    "- 4 уникальных элемента;\n",
    "- 2 - 2 раза, 15 - 1 раз, 1 - 2 раза, 36 - 1 раз.\n",
    "\n",
    "Как решить задачу? Нужен алгоритм.\n",
    "\n",
    "**Ваши варианты**\n",
    "- использовать массив, отсортировать; (?)\n",
    "- использовать вместо массива специализированные контейнеры.\n",
    "\n",
    "Рассмотрим мультисеты в С++ (для остальных есть аналоги, но не в ядре языка)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "// С++\n",
    "template<\n",
    "    class Key,\n",
    "    class Compare = std::less<Key>,\n",
    "    class Allocator = std::allocator<Key>\n",
    "> class multiset;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# std::multiset\n",
    "std::multiset - контейнер, который хранит сортированный набор объектов типа Key. В отличие от std::set, допустимы одинаковые значения ключей.\n",
    "Обычно реализован как бинарное дерево поиска (RB-tree).\n",
    "\n",
    "Задачи:\n",
    "- как определить, сколько уникальных элементов содержит multiset, если он реализован как бинарное дерево поиска?\n",
    "- как определить, сколько раз встречается в multiset-е каждый элемент?\n",
    "\n",
    "**Ваши варианты??**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "template<\n",
    "    class Key,\n",
    "    class Hash = std::hash<Key>,\n",
    "    class KeyEqual = std::equal_to<Key>,\n",
    "    class Allocator = std::allocator<Key>\n",
    "> class unordered_multiset;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# std::unordered_multiset\n",
    "std::unordered_multiset - hash-based контейнер, который хранит набор объектов типа Key (возможно, не уникальных).\n",
    "Элементы помещаются в bucket-ы в зависимости от значения хэш-функции.\n",
    "\n",
    "Задачи:\n",
    "- как определить, сколько уникальных элементов содержит unordered_multiset?\n",
    "- как определить, сколько раз встречается в unordered_multiset-е каждый элемент?\n",
    "\n",
    "**Ваши варианты??**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# HyperLogLog\n",
    "## Задача - подсчитать (приблизительно) число уникальных элементов в массиве\n",
    "\n",
    "## Зачем это нужно?\n",
    "- обнаружение распространения вирусов, обнаружение сетевых атак (напр., DDOS - малое к-во уникальных и большое к-во одинаковых паттернов в трафике подозрительно);\n",
    "- обнаружение спама - также большое к-во одинаковых паттернов подозрительно;\n",
    "- data mining - нахождение к-ва одинаковых самплов данных;\n",
    "\n",
    "## Ограничения области применения\n",
    "- хорошо (точно) работает на больших объемах данных;\n",
    "- плохо на малых объемах данных (для них лучше применять традиционные алгоритмы)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Задача: необходимо подсчитать число уникальных пользователей, заходящих на ресурс в течение дня\n",
    "\n",
    "***Как это сделать? Ваши варианты***\n",
    "\n",
    "Использовать хэш-таблицу, добавляя пользователя в нее, когда он заходит на ресурс. Если пользователь входит с разных ip, девайсов, несколько раз, считаем это за 1 вход (пользователь должен залогиниться, учитываем login id). В конце дня считаем и сохраняем размер хэш-таблицы и записываем его в таблицу статистики. Очищаем хэш-таблицу, считаем следующий день и т.д.\n",
    "\n",
    "Если у нас миллиарды пользователей каждый день, а мы храним user id как 32-битное целое число, понадобится 4 Гб, чтобы сохранить пользователей.\n",
    "Можно использовать битовую карту — каждый пользователь это бит — тогда все равно нужен 1 Гб памяти. \n",
    "\n",
    "Хэш-таблица и битмап имеют требование месту O(n), место прямо пропорционально к-ву данных.\n",
    "\n",
    "Другие метрики могут потребовать еще места.\n",
    "\n",
    "Нас устроит не совсем точное значение, потому что предполагается, что к-во пользователей очень велико и оно постоянно увеличивается. Нужен +- порядок величины, но погрешность должна быть под контролем."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Вводная\n",
    "Представим, что вы ведете базу входящих звонков. Стоит АОН, вы запоминаете номер в базе.\n",
    "Нужно оценить примерно к-во уникальных номеров телефонов, с которых принимались звонки.\n",
    "\n",
    "*Предполагаем, что цифры в телефонных номерах не зависят друг от друга и распределены равномерно и каждый номер состоит из одинакового к-ва цифр!!*\n",
    "\n",
    "### Пример\n",
    "Пришли звонки от:\n",
    "\n",
    "<pre>\n",
    "095-17-29\n",
    "\n",
    "127-13-25\n",
    "\n",
    "095-17-29\n",
    "\n",
    "326-82-98\n",
    "\n",
    "485-23-19\n",
    "\n",
    "095-17-29\n",
    "\n",
    "...\n",
    "</pre>\n",
    "\n",
    "**Вопрос 1: сколько примерно уникальных номеров мы получим всего, если есть только один номер (095-17-29), который начинается ровно с одного нуля (а двух и более нулей нигде в начале номера нет)? А если какой-то номер начинается с двух нулей (и больше, чем двух в начале нет)? А если с трёх?**\n",
    "\n",
    "\n",
    "\n",
    "Объяснение.\n",
    "\n",
    "Схлопываем одинаковые номера в один:\n",
    "\n",
    "<pre>\n",
    "095-17-29\n",
    "\n",
    "127-13-25\n",
    "\n",
    "326-82-98\n",
    "\n",
    "485-23-19\n",
    "\n",
    "...\n",
    "</pre>\n",
    "\n",
    "Очевидно, что номеров, начинающихся на один 0 - 1/10 часть от всех. На 00 - 1/100 часть и т.д.\n",
    "\n",
    "**Вопрос 2: нужно ли смотреть до конца все номера для общей оценки к-ва?**\n",
    "\n",
    "**Вопрос 3: нужно ли заводить какие-то счетчики для оценки к-ва?**\n",
    "\n",
    "\n",
    "Не нужно, нужно смотреть только их начало - на длину начальной цепочки нулей. Просто хранить максимальную длину цепочки из нулей, и всё!! К-во элементов оценивается как $10^m$, где $m$ - длина цепочки."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Алгоритм HyperLogLog\n",
    "- не нужна хэш-таблица;\n",
    "- исходные данные можно не хранить, а обрабатывать и сразу удалять: делается один проход по данным;\n",
    "- легко параллелится;\n",
    "- требование к занимаемому месту всего $log (log (N))$, поэтому называется логлог;\n",
    "- позволяет оценить к-во уникальных элементов по самой длинной цепочке нулей;\n",
    "- прекрасные параметры по соотношению погрешность-длина датасета-занимаемое место: ошибка всего 2% при к-ве уникальных элементов более $10^9$ с использованием всего лишь 1.5 кбайт памяти."
   ]
  },
  {
   "attachments": {
    "HyperLogLog.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Подсчитаем число пользователей ресурса\n",
    "\n",
    "Рассмотрим работу алгоритма на примере задачи с подсчетом числа пользователей.\n",
    "- когда пользователь заходит на ресурс, алгоритм HyperLogLog хэширует id пользователя в битовую строку;\n",
    "- при условии равномерного распределения мы можем сделать вывод, что примерно половина битовых строк начинается с  0, а другая половина начинается с 1;\n",
    "- аналогично, примерно $\\frac{1}{4}$ битовых строк начинается с 00 и примерно $\\frac{1}{8}$ с 000;\n",
    "- обобщим: примерно 1 из каждых $2^z$ равномерно-распределенных битовых строк начинается с последовательности из $z$ нулей;\n",
    "- предположим, что некоторый момент времени мы хэшируем id всех новых активных пользователей, и обнаруживаем, что максимальная последовательность ведущих нулей 0000;\n",
    "- вероятность этого на любой случайной битовой строке $\\frac{1}{16}$;\n",
    "- то есть нам нужно в среднем 16 случайных битовых строк, чтобы найти ту, которая начинается с 0000;\n",
    "- выясняем, что у нас примерно 16 посетителей.\n",
    "![HyperLogLog.png](attachment:HyperLogLog.png)\n",
    "\n",
    "**Идея алгоритма**:\n",
    "- обозначим максимальное количество последовательных начальных нулей через n;\n",
    "- тогда количество уникальных элементов в наборе можно оценить, как $2^n$;\n",
    "\n",
    "То есть, если максимум один начальный бит равен нулю, тогда количество уникальных элементов, в среднем, равно 2; если максимум три начальных бита равны нулю, в среднем, мы можем ожидать 8 уникальных элементов и т.д.\n",
    "\n",
    "**Недостатки этого подхода**:\n",
    "\n",
    "- оценка слишком грубая - всегда $2^n$;\n",
    "- если выбранная хэш-функция не дает равномерное распределение, алгоритм теряет точность, поскольку не выполняются базовые допущения, лежащие в его основе: если найдется один выброс высокочастотного элемент с префиксом 0, он может все испортить."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Как улучшить алгоритм\n",
    "\n",
    "**ваши предложения**\n",
    "\n",
    "- использовать хэш-функцию, дающую качественное равномерное распределение, например MurmurHash3.\n",
    "\n",
    "Требование к HyperLogLog:\n",
    "\"Предполагается, что хэш-функция работает таким образом, что результат близок к равномерному распределению, то есть биты хэша независимы и каждый бит имеет вероятность 0.5 (т.е. 0 и 1 равновероятны).\".\n",
    "    \n",
    "- можно использовать несколько хэш-функций, считать максимум для каждой и усреднять его;\n",
    "\n",
    "- в алгоритме используется другой подход - усреднение длин цепочек из нулей по подмножествам исходного мультисета (хэширование относительно дорого)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Описание алгоритма\n",
    "- хэшируем данные;\n",
    "\n",
    "- делим входящие хэши на 2 части - условно номер корзины и остальное, что ведет себя по вышеописанным законам как часть хэша;\n",
    "\n",
    "- заводим счетчики (регистры) $M$, по числу корзин, инициализируем их нулями;\n",
    "\n",
    "- разделяем хеши на $m$ подгрупп (корзин) на основании их начальных битов (1-я часть хэша) и записываем в регистры максимальную длину цепочки начальных нулей из 2-й части - то же, что раньше;\n",
    "\n",
    "01 111101 --> 1-я корзина, пока что самая длинная цепочка начальных нулей - 0;\n",
    "\n",
    "11 010001 --> 3-я корзина, пока что самая длинная цепочка начальных нулей - 1;\n",
    "\n",
    "10 000111 --> 2-я корзина, пока что самая длинная цепочка начальных нулей - 3;\n",
    "\n",
    "01 110001 --> снова 1-я корзина, пока что самая длинная цепочка начальных нулей - 0;\n",
    "\n",
    "01 011010 --> снова 1-я корзина, пока что самая длинная цепочка начальных нулей - 1;\n",
    "\n",
    "01 000001 --> снова 1-я корзина, длина 5;\n",
    "\n",
    "01 010011 --> снова 1-я, длина 5 остается;\n",
    "\n",
    "00 001001 --> 0-я корзина, длина 2.\n",
    "\n",
    "и т.д.\n",
    "\n",
    "Результат по всему множеству:\n",
    "\n",
    "$M$ = {0, 2}, {1, 5}, {2, 3}, {3, 1}.\n",
    "\n",
    "- вычисляем среднее гармоническое по корзинам - $Z$."
   ]
  },
  {
   "attachments": {
    "HarmonicMean.png": {
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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Что такое \"среднее гармоническое\"?\n",
    "\n",
    "**Вопрос: кто знает, что это такое и что оно дает?**\n",
    "\n",
    "Среднее гармоническое - это один из способов, которым можно вычислять «среднюю» величину некоторого набора чисел.\n",
    "\n",
    "Пусть даны положительные числа \n",
    "$x_{1},\\ldots ,x_{n}$, тогда их средним гармоническим будет такое число \n",
    "$H$, что\n",
    "\n",
    "$$\\frac{n}{H} = \\frac{1}{x_1} + \\frac{1}{x_2} + \\ldots + \\frac{1}{x_n}$$\n",
    "\n",
    "Формула:\n",
    "\n",
    "$$H(x_1,\\ldots ,x_n) = \\frac{n}{\\frac{1}{x_1} + \\frac{1}{x_2} + \\ldots + \\frac{1}{x_n}} = \\frac{1}{\\frac{1}{n} \\displaystyle\\sum_{i=1}^{n}\\frac{1}{x_i} }$$\n",
    "\n",
    "![HarmonicMean.png](attachment:HarmonicMean.png)\n",
    "\n",
    "- A - среднее арифметическое $a$ и $b$;\n",
    "- G - среднее геометрическое;\n",
    "- Q - среднее квадратичное;\n",
    "- H - среднее гармоническое."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Вычисляем среднее гармоническое Z (умножения на m нет)\n",
    "\n",
    "$$Z = \\left(\\sum_{j=0}^{m - 1} 2^{-M[j]}\\right)^{-1}$$\n",
    "\n",
    "Вычислим для нашего случая.\n",
    "\n",
    "$Z = (2^{-2} + 2^{-5} + 2^{-3} + 2^{-1}) ^ {-1} = \\left(\\frac{1}{4} + \\frac{1}{32} + \\frac{1}{8} + \\frac{1}{2}\\right) ^ {-1} = \\frac{32}{29} \\approx 1.103$\n",
    "\n",
    "Если будет выброс в какой-то корзине, он усреднится и мало повлияет на результат."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Вычисляем оценку кардинальности мультисета E\n",
    "\n",
    "$E = \\alpha_m m^2 Z$, где\n",
    "\n",
    "$$\\alpha_m = \\left(m \\int_0^\\infty \\left(log_2\\left(\\frac{2 + u}{1 + u}\\right)\\right)^m \\,du\\right)^{-1}$$\n",
    "\n",
    "Коэффициент $\\alpha_m$ аппроксимируется следующим образом:\n",
    "\n",
    "- для m = 16 $\\alpha_m$ $\\approx$ 0.673;\n",
    "- для m = 32 $\\alpha_m$ $\\approx$ 0.697;\n",
    "- для m = 64 $\\alpha_m$ $\\approx$ 0.709;\n",
    "\n",
    "и т.д.\n",
    "\n",
    "Вычислим для нашего случая.\n",
    "\n",
    "$E = 0.673 * 16 * 1.103 = 11.87$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Пример использования алгоритма (Java)\n",
    "- добавить библиотеку hll"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "<dependency>\n",
    "    <groupId>net.agkn</groupId>\n",
    "    <artifactId>hll</artifactId>\n",
    "    <version>1.6.0</version> \n",
    "</dependency>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- создать объект HLL, конструктор принимает два аргумента:\n",
    "    - log2m - количество регистров, используемых HLL (то есть m)\n",
    "    - regwidth - число бит, используемых каждым регистром\n",
    "    \n",
    "Чем большую точность мы хотим получить, тем в большее значение необходимо устанавливать эти параметры.\n",
    "\n",
    "Например, нам нужно посчитать уникальные значения в датасете из 100 млн объектов.\n",
    "\n",
    "Установим параметр log2m в 14, а regwidth в 5 - разумные значения для этого размера данных.\n",
    "\n",
    "Перед вставкой в HLL каждый элемент необходимо захэшировать.\n",
    "\n",
    "Для этого используем Hashing.murmur3_128() из библиотеки Guava (есть в депенденсах к hll). Этот хэш и точный, и быстрый."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "HashFunction hashFunction = Hashing.murmur3_128();\n",
    "long numberOfElements = 100_000_000;\n",
    "long toleratedDifference = 1_000_000;\n",
    "HLL = new HLL(14, 5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Эти параметры дадут нам процент ошибок ниже 1% (1000000 элементов).\n",
    "\n",
    "Вставим эти 100 млн элементов:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "LongStream.range(0, numberOfElements).forEach(element -> {\n",
    "    long hashedValue = hashFunction.newHasher().putLong(element).hash().asLong();\n",
    "    hll.addRaw(hashedValue);\n",
    "  }\n",
    ");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Наконец, мы можем протестировать, что cardinality, которую вернул HLL, находится в пределах нашей желаемой погрешности:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "long cardinality = hll.cardinality();\n",
    "assertThat(cardinality)\n",
    "  .isCloseTo(numberOfElements, Offset.offset(toleratedDifference));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Можем вычислить, сколько памяти занимает наш HLL - примерно 81000 бит или 8100 байт. То есть оценка размера уникальных элементов из 100 млн множества использует всего 8100 байт памяти.\n",
    "\n",
    "Если сравнить с обычной имплементацией, нам нужен будет сет из 100 млн длинных целых, что займет 100 000 000 * 8 байт = 800 000 000 байт.\n",
    "\n",
    "Разница 8100 байт и 800 МБайт.\n",
    "\n",
    "Чем больше батасет, тем больше разница."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Пример реализации алгоритма (python)\n",
    "\n",
    "https://pypi.org/project/hyperloglog/\n",
    "\n",
    "Посмотрим, если останется время."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Применение алгоритма\n",
    "Используют:\n",
    "- Redis Labs (для уменьшения размера storage в Redis): https://redislabs.com/blog/how-to-use-redis-at-least-x1000-more-efficiently/\n",
    "- Google (для подсчета числа запросов в день): https://storage.googleapis.com/pub-tools-public-publication-data/pdf/40671.pdf\n",
    "- Google (для подсчета числа результатов BigQuery): https://cloud.google.com/blog/products/gcp/counting-uniques-faster-in-bigquery-with-hyperloglog\n",
    "- Elastic search (для подсчета количества уникальных значений в поле): https://www.elastic.co/blog/count-elasticsearch\n",
    "- AWS Redshift (для функции COUNT DISTINCT): https://docs.aws.amazon.com/redshift/latest/dg/r_COUNT.html\n",
    "- Reddit (для подсчета числа комментариев к посту): https://redditblog.com/2017/05/24/view-counting-at-reddit/"
   ]
  },
  {
   "attachments": {
    "VideoCounts.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Алгоритм Count-Min Sketch\n",
    "\n",
    "Count-Min Sketch - семейство эффективных по памяти структур данных, которые позволяют оценить частоту появления конкретных элементов, найти top K частотных элементов, сделать выборку по диапазону элементов (найти сумму частот элементов внутри какого-либо диапазона).\n",
    "\n",
    "## Задача\n",
    "Есть набор значений с дубликатами (мультисет). Например, у нас видеостриминговый сервис и нужно оценить частоту скачивания (число дубликатов во множестве) отдельных или всех видео. \n",
    "\n",
    "![VideoCounts.png](attachment:VideoCounts.png)\n",
    "\n",
    "Оценка для нечастотных значений может быть неточной, но популярные видео должны быть оценены более-менее точно.\n",
    "\n",
    "## Прямое решение\n",
    "Будем хранить счетчики в хэш-таблице. Пусть у нас 4 млрд видео, каждое видео имеет 32-битный уникальный id (это минимум для адресации такого к-ва видео).\n",
    "\n",
    "Тогда нам понадобится 16 Гб только чтобы хранить id каждого видео. Для счетчиков нужно еще 16 Гб. Итого 32 Гб. Уже проблема с размещением в RAM. А если хранить перекрестные ссылки на видео или метаинформацию (регион, язык, год, длительность, жанр) для продвинутой аналитики?\n",
    "\n",
    "Нужен кластер Hadoop или Spark?\n",
    "\n",
    "**Не обязательно!!!**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sketches\n",
    "Что такое Sketches (\"наброски\", \"эскизы\", \"зарисовки\", \"отрывки\")?\n",
    "\n",
    "Это класс структур данных, которые могут \"отображать на себя\" огромные датасеты с сублогарифмическими или даже константными требованиями по месту.\n",
    "\n",
    "**MinHash** и **SimHash**, которые мы проходили на прошлом занятии - это скетчи. Отображают большой документ в множество хэшей либо в единственный хэш. \n",
    "\n",
    "**Вопрос: требования по месту у них были какие?**\n",
    "\n",
    "Для скетчей не нужно хранить полные данные. Нужно использовать трюки для сжатия данных -> это приводит к неточным \"зарисовкам\".\n",
    "\n",
    "Под скетчи можно резервировать сколько угодно места, но если мультисет вырастет, скетч скорее всего вернет неточные результаты.\n",
    "\n",
    "Трейд-офф: размер vs точность.\n",
    "\n",
    "Важно найти верный баланс между размером и точностью.\n",
    "\n",
    "Как пример: картина (\"Джоконда\") и ее зарисовка. Чем больше усилий тратится на зарисовку, чем более она похожа на оригинал. Также требуется больше места для хранения. Как и в реальности сложную картину труднее воспроизвести, чем простую. Большой сет требует больше места для скетча, чем маленький.\n",
    "\n",
    "Задача уменьшения размерности в ML - это аналог скетчинга.\n",
    "\n",
    "Нормально, когда приложение, работающее с большими данными, не требует большой точности."
   ]
  },
  {
   "attachments": {
    "CountMinSketchCounters.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Идея алгоритма\n",
    "Count-Min sketch - это просто двумерный массив ($d$ * $w$) целочисленных счетчиков.\n",
    "\n",
    "- когда приходит новое значение, оно мапится в одну позицию в каждую из $d$ строк используя $d$ различных независимых хэш-функций;\n",
    "- счетчики по каждой позиции инкрементируются.\n",
    "\n",
    "![CountMinSketchCounters.png](attachment:CountMinSketchCounters.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Запрос значений счетчиков\n",
    "\n",
    "Чтобы запросить значение счетчика (к-во просмотров по видео) вычисляем минимум из значений всех счетчиков по этому видео.\n",
    "\n",
    "$count(x)$ = $min(h_i(x))$, где $h_i$ - i-тая хэш-функция\n",
    "\n",
    "Почему берется минимум, а не максимум?\n",
    "\n",
    "**Ваши варианты?**\n",
    "\n",
    "Потому что ошибка у нас всегда в сторону увеличения (каждое вхождения значения увеличивает счетчик, но коллизии могут добавить дополнительный плюс)."
   ]
  },
  {
   "attachments": {
    "CountMinSketchInternals.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Пример\n",
    "\n",
    "Хэш-функции здесь по горизонтали.\n",
    "\n",
    "Имеем 3-колоночный, 4-строчный Count-Min Sketch.\n",
    "\n",
    "Самый первый пользователь вашей платформы хочет посмотреть видео \"History of Japan\".\n",
    "\n",
    "Когда id этого видео хэшируется тремя хэшами, получаем 1, 2 и 1, соответственно мы должны увеличить счетчики в позициях (1,1), (2,2) и (1,3).\n",
    "![CountMinSketchInternals.png](attachment:CountMinSketchInternals.png)"
   ]
  },
  {
   "attachments": {
    "CountMinAccuracy.png": {
     "image/png": 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"
    },
    "CountMinAccuracy2.png": {
     "image/png": 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"
    },
    "Estimation.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Оценка точности алгоритма\n",
    "Точность алгоритма Count-Min sketch зависит от соотношения размера скетча и общего числа объектов. Это означает, что Count-Min sketch обеспечивает экономию памяти только для очень случайных данных, то есть вероятности событий (объектов) очень сильно скачут.\n",
    "\n",
    "Две диаграммы показывают результаты Count-Min sketch размера 3×64, т.е. всего 192 счетчика. \n",
    "\n",
    "В первом случае в sketch поданы относительно случайный набор данных в 10k элементов, среди них около 8500 уникальных значений (частоты элементов подчиняются распределению Ципфа, которое, например, соответствует распределению слов в текстах на естественных языках).\n",
    "\n",
    "Настоящая гистограмма (показаны только самые частотные элементы, диаграмма имеет \"длинный плоский хвост\" справа, который отрезан на этой картинке) и гистограмма, восстановленная по скетчу показаны ниже:\n",
    "\n",
    "![CountMinAccuracy.png](attachment:CountMinAccuracy.png)\n",
    "\n",
    "Очевидно, что Count-Min sketch не может отследить частоты 8500 элементов с использованием всего 192 счетчиков в случае малого отклонения частот, поэтому гистограмма получилась очень неточной.\n",
    "\n",
    "Во втором случае в скетч были поданы относительно случайные данные в размере 80k элементов, среди которых также около 8500 уникальных.\n",
    "\n",
    "Реальная гистограмма и гистограмма по скетчу показаны ниже:\n",
    "![CountMinAccuracy2.png](attachment:CountMinAccuracy2.png)\n",
    "\n",
    "Очевидно, что результат в данном случае более точный.\n",
    "\n",
    "Оценка точности:\n",
    "![Estimation.png](attachment:Estimation.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Домашнее задание\n",
    "\n",
    "- взять готовую реализацию одного из алгоритмов: **Bloom Filter**, **MinHash**, **SimHash**, **HyperLogLog** или **Count-Min Sketch** для вашего языка программирования для ее изучения;\n",
    "- изучить код реализации;\n",
    "- вариант повышенной сложности (опционально): самим реализовать этот алгоритм;\n",
    "- найти большой датасет, подходящий для выбранного алгоритма;\n",
    "- применить ее для решения практической задачи: например, определить, принаджежит ли элемент множеству, подсчитать число уникальных элементов в большом массиве данных или подсчитать числа вхождений каждого элемента в большой массив данных;\n",
    "- оценить точность реализации (% ошибок, false positives и т.д.) с помощью тестов;\n",
    "- выложить ваш код вместе с датасетом;\n",
    "- (опционально): сделать вышеперечисленное для еще одного алгоритма из списка.\n",
    "- (опционально): сравнить между собой \"парные\" алгоритмы, если вы выбрали их (напр, MinHash и SimHash).\n",
    "\n",
    "**Пример. Если вы выбрали MinHash и/или SimHash**:\n",
    "- разобрать пример реализации алгоритма MinHash по ссылке https://github.com/chrisjmccormick/MinHash (можно также взять любую другую готовую реализацию алгоритма);\n",
    "- (опционально) реализовать алгоритм MinHash на вашем языке программирования; если это python - попробовать улучшить пример по ссылке (отрефакторить, улучшить скорость работы, уменьшить требуемую память и т.д.);\n",
    "- применить алгоритм для решения практической задачи: найти похожие объекты в большом датасете (1000 статей из интернета). Примеры статей есть в проекте https://github.com/chrisjmccormick/MinHash/tree/master/data;\n",
    "- (опционально) реализовать алгоритм SimHash на вашем языке программирования (как отправную точку можно взять реализацию https://github.com/seomoz/simhash-py и https://github.com/seomoz/simhash-cpp);\n",
    "- (опционально) сравнить работу ваших алгоритмов MinHash и SimHash по скорости, точности работы и занимаемой памяти на любом датасете (1000 статей из интернета)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Литература и ссылки\n",
    "## HyperLogLog\n",
    "### Математика\n",
    "HyperLogLog: the analysis of a near-optimal cardinality estimation algorithm\n",
    "Philippe Flajolet, Éric Fusy, Olivier Gandouet, Frédéric Meunier\n",
    "http://algo.inria.fr/flajolet/Publications/FlFuGaMe07.pdf\n",
    "\n",
    "### Об алгоритме и пример реализации на C++\n",
    "https://habr.com/ru/post/119852/\n",
    "\n",
    "### Реализация\n",
    "- Python\n",
    "https://pypi.org/project/hyperloglog/\n",
    "- Java\n",
    "https://github.com/prasanthj/hyperloglog\n",
    "- Java/Scala - сравнение реализаций - http://koff.io/posts/comparison-of-hll/\n",
    "- C# (Microsoft): https://github.com/Microsoft/CardinalityEstimation\n",
    "\n",
    "\n",
    "### Использование\n",
    "- Redis Labs: https://redislabs.com/blog/how-to-use-redis-at-least-x1000-more-efficiently/\n",
    "- Google: https://storage.googleapis.com/pub-tools-public-publication-data/pdf/40671.pdf, https://cloud.google.com/blog/products/gcp/counting-uniques-faster-in-bigquery-with-hyperloglog\n",
    "- Elastic search: https://www.elastic.co/blog/count-elasticsearch\n",
    "- AWS Redshift: https://docs.aws.amazon.com/redshift/latest/dg/r_COUNT.html\n",
    "- Reddit: https://redditblog.com/2017/05/24/view-counting-at-reddit/\n",
    "\n",
    "## Count-Min Sketch\n",
    "### Математика\n",
    "An Improved Data Stream Summary: The Count-Min Sketch and its Applications\n",
    "Graham Cormode, S. Muthukrishnan\n",
    "http://www.eecs.harvard.edu/~michaelm/CS222/countmin.pdf\n",
    "\n",
    "### Реализация\n",
    "- C, Python: https://github.com/barrust/count-min-sketch\n",
    "\n",
    "## Обо всех рассмотренных структурах данных\n",
    "https://highlyscalable.wordpress.com/2012/05/01/probabilistic-structures-web-analytics-data-mining/"
   ]
  },
  {
   "attachments": {
    "Footer.png": {
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B/VSrGVlcsbjccLyY9MaP/VPQ5J29JPbfFpjKOC8F0nH96pHdOby48rj9n2aCPxw9tNqXjLsz65v6nb1jhwufKQAAAAAA+D/4kdi83mnDZk2LrlSuJiGRd/ZMrq7bvY+nqVs6/x9Z1G8eHvXNLnyQqZi72QWVfG5jy5JxxxfGbnZMZUlWm4ZGXgpkuUmb/+c8rRYIWzooaBRtBC0Qq/lvbRkeZ1b4p6n1tEpQ3aC1e72uQHBkSf+4/T8QiZLwC7Wdn+s09N1SoWluGBzxhMJYIQIAAAAAgP+DH4M3FF7e3hU0tz/53Y2fc4S8prZNk/nR/Jmezv/HllZPXZ69E2t9/3AR93tPqxbKdb3rB2bSlZ/cY0/cnv65RZJ/ZuZ/bjmXJgxzOSCnjFPMF8s7e/S7BzguceLytI1OvpPUfZ8lwftcVz+/aYwdtwlHHr3/n7jc7eNT54UP8yq4L4Wycb0BBwEAAAAAAOD/4MewF9ulnHglkDI7k5eI5COLemfgkZRzY/F/h9efyNMWaNvJb3MYtva6Rt48NGY8svy0WQAk/xane2zFUKZuZHoszZB30rq6rv4yZcOzauE3g41XT1D2DGyZj39awQvFuyT2x8/2X1gx+ShXd07OOP2B2LrbY/f/YJQ+dJZPChXzM0UBqapvObDaHl+REQAAAAAA+D94AJv/E6trVfVaZnMyopAnqu8fNtscj8Pi2P2fRIWEbXB++aNMlf99k7ZPtRrdxMy+xer/+ZYASP5P3d7J1XV+S8eTqu+6JBbxxarewZWd/e7JuTJlw3kWAP2KAvhWWqcdmTi2u37CoNHnxRUIzaxtlmuanlULcxjy/0oorR8Y3jZbEgfgH73/uwLBuY3tp9WCC6UiKSzjegNNrRC+gQEAAAAA4P/gPtk/tTUMjrwUSHMY9ckJ8r1KjXbrsagIu/+Ts8VPa9uaBkffiOTMPdsnVYIKdVPf7ILZ7nxMBREzwekPzG/tSDu6C7mib73ryjiJE+wLmzt2r99otjQPjr0UyJirA3kVvERthWOHy/8zbfPG5T+4fmASaNufc2qYQSPpFbXp5je/VZR49P5vstp1U7PJBSMoGpKOrrV9kx8pAAAAAAAA8H9wn7oytrJarm4sqORd+Bs9t5xTLJAsbBmDj0J62f0/8Rh/JLJs3BO36Yp44hyGq5DuUojGllcd/sDPU7rcF4lsHJrkut5Xwu/WhvIr+KVyVffUnNMfpLlB/9TvHsh0PfkV300helhVvXZmfcvq8f4kBwESte63TEeqnsHYzj8jaLllnFK5ekK/Zvf4vqXePHb/X9s7lHV0X1hYTFAskPbPL9k8PlQBAAAAAACA/4P7IBg/2q3sHvj/7J0HVxpb14D/7mc0MYlpml4UVHoHAQugUiwIKmJBQBRUpChFeu9g3n/w7YF7zYDGWHLvTcxe61lZRodhOMyZdZ5z9tmbvLpLXqMDaZnfsoK/3YMpgOv4f2vF27LvZihmHrcHLT+kMgbHJtf2XH/CFAARDVE/84SjIG8dOf+g9cBjNeYtuHP+vouI0u4Oj5+hnO2YAugdYdEmp6HRkoXCn9ChSvW68zgI8v+Uzu2IeH/O5K/Y96DRyF3pfvs/3EVru64BjvhS//+/wVHOtG7H48dagAiCIAiCIOj/yL+iK7X6uuvgs2S8Q9vIgDAfBkPF2m8fpntN/wcS+cK6c582Nf2IdCRREZDCoMoUy/a9cCpdvr/b2sHHwOed/oBIu9BH55CDt7uHaO8EUo15M5BIkpdtq82XWA49FLmCvNkbxO/JCGtkXKnftp2ms/e7N+UrVcvBkUAzT94K0Vr5f8XiT5vWY9l8R8a7++3/0UxOaTT1UJjfe7a8ZApUy+ZcuYqPYgRBEARBEPR/5B9f/E/mC9IFAzje5Qt0Td7yJaZdYtH7d8/UdX3/B0kDdVl1OMH2uyn0rvbK7cPjqkWL7TiWKNXv4RQAkfAvX9g+9Ai1888Y3AfkCPah0QGuSLVi9oQjF6shVM++xnMFg81BkU31ksoBtPa9D0ondRvboUS6XLuH+71be/63XIdsleYFk09utO4hGjSabMFwHCPS3Xd0ovvt/3aPl6GcveLZAo3DVGruU5FRBEEQBEEQ9H/kFyVXqR4EwhS54mJ2rrYsgFSGcnktnEz/7sW6ru//zej3RiSdnd+0vhfIeiiMrnabpcoUcxvb/mj8nhUFLDUnPjach3z13HMm70H79vVnDC54LNgaUbn9O3MHwWRKY94iIkqobcUCHg0zP4rlC1vWk3iqUL0/jUZs+K83koXCjsdHm5x+xuA9GGprtFdsgUS3uOc/KdbrFxvtHvs/3Axq8+ZbvuQK/4c/veWPade3sBAggiAIgiAI+j/yz3pLJJOb37L1c4RXyH9r0Zs9rXV4/dnfPEz3+v5/PgUANqtaWR/giuAl3xK5N6MAwGZnTOutKYB7Ux8xls2bdp1MxWwf4bE0ssc+HmYylLP7AZD/6hWft1Sv+yMxaLQ3PEn3hXSAH0UyzdqWLxIrXlgJ/13lv1aPZnOWgyOmSg13BbnR4IZ5SucItPP2I2+ucnnfucf+nyqUODPaR8PMqx8vj0dYo5PKVLGEIQAIgiAIgiDo/8g/J3sNdyjSTNjGuHqADrzhS3Qb2/Fc4Tf/yDfw//P18ONoYnrV/FYwRk6R0Kpv11za1e/5A99bD/+dNoOcfY2kM/Ob1s/icVD9rvZF2j4ah60i5oAK1R9PdhRrRKNpzVuveeLOeG8qHVpSrjfu+k4K1do96ET+SEy7bhmUTTwa7uxHoL4S3eKu7zhTqnzvDPfY/61u70eJ/IrF//O76yWLbzvyFe9vQg0EQRAEQRD0f+Q/BmR+xb5HROf+SP5bqe9Bm10nwcLvPEa/hf/XmikSA4mEfttGlU89pHY6Xh+dw1TMLll3Aolk6ffc2d7a8A+2Jps3EIv27ZtBuim0fq4IjH3Pd5KvXCsApEo0GrF7YsnqgObtqCvZTaE/Z/Jpk9Pzm9ZgMlX+betK5Cq1TdehULc4wBN1D412JPx7RudOLq0chSJXN9q99P9qM7cIR6Xto3H+7xqPl95hplC3kMEQAARBEARBEPR/5B8CzKSZ+Y97nQF6F1G6XKpbt8Sy+T/N/4mNALV6OJkCTwNr7R3pXBvvHWF9GZtQGtd2PL5k/jcLkchVqu5QeGHTxlTOdmz4b7n6B5FUtWo+DIZylRvs/qj+VVoyr7fujE6qnrZ74INmOoD3AqnCaNr1+n+v6pJwP+QrtZNYwmhzjIwroQd1pM/oodDf8CXj+mVfJPbD+bJ76f/FWgM62ksWv/vKxCJtKRI5wmAieS9zQyIIgiAIgqD/I/993LLl4IgiU1wn+L8FKBx7WnsQCP++de9u5/+1v3K81aPprMnhBJvtUD4iuR2VMcAV8Wa0qzvOk3gyW6r84kLbXKKvx3MF25EPTPWjSPZ4hEW2ta5m0Ac0jmZ9y3MazV255/+KyILTVAb8lqVSP2NwO2aU4Fvo5wgF6jloVX80ni1Xfn3zh9sAPpHd41OumD+K5MSGf9KMSVcz5v+jWKZcXgOBv055iPvn/3BrJQuFWdP6Qwr9h8H/5+3WTaFbDjzQDav4fEYQBEEQBEH/R34uiXxhbtPazxFdc4DerP1GeysYW7LtpArFP83//3a/RiJfXNtzMRSzL1n8nvbkdiDPfTQOiJxy2bznP4lmc6B2v+AsQOuDpIulk3hydcfJUMwQn4WU3fDvoAYmtMzs2kYombrOnv/v7p5oFRRwHXBntcS8Sfv9BjfVUzp3SDapWjE7/QHwxl+00ZpzGeli2R+JL2zZmCr1S7agp30zyF9lDscmNOYt72n0mrvZ75//l2p1XyQGN8+Daz9bWkwZVgOxBG4BQBAEQRAEQf9HfjIHgbBIt/j0ertzySEALJUGBvd/oP+fyzOY847XL1s0DHBFFw2nh0J/wRTQp6Y161uHwfCNYub/JT2r1wMJwvwF2oW3grFHw8yLc0C9I6zhcdWSdSeSzoKN31HJ4AzJfHHXdyJbMPaOMDsarRUI8JLFH5lQzqyaj8IRaLRfSgJbMyaxXGFtz8VR6d7wJb2X5bR/SGEwFDObrsPTVOY6K//31f8jmZzR5uihMm70bAE+iqS7/pPKb5sPAkEQBEEQBP0f+UVZtu9+FMtuOkZ/MER7xuCtOpyZUvl3HKbf3f9b5Ku141hi2bZLpAO4TAVbke3D40qF0WT3+OL54n+e5Y7YtV6tHYUimvUttkoD5g+S/71v+RVbOGUwwWes/ryWj+cKeuvO4xHWpcvCxCwAkReQB02qNJi2Dz3RTPZXMP9suXIYDC9abPxZ3XuB9GF7oMR56MdrnniCyPZ3SlSCuMnkxT3zf/jsDq+PKld0DY7c1P+hbQ32nVS+iFsAEARBEARB0P+Rn0a2XFUaTc+YvK4bBui2VIevmQONLP2GWQB+lv8Tp6rVY9m81e0bm1sa4IkvzqS0tjQ/Z/FpU9PTq+YN1wE0GrzLvzxvAj6Wq1SDyZTD6yckVj3XzxE9vDLpA1G1nsZhKmfXnQc/JSV7c/2/YHN7OdNakPyuK/eBEwEUDCIWQGE0rbsO/NE4NFqp/m+nhStUiX3+tiOvbsPCV+ua1R8vabQHg6PPmTyGYmZhywaXCm110+a6Z/4fzea061uPvzO19EPki0ZPOIIhAAiCIAiCIOj/yE8Swq//O4knBer53luN0UEOX/PEqzvOVKFY+d126v5E/2/FhGfKlYNAaMa0Pjo1TWQ7by9011pLfzTMfMUSUOVK2aLBYHPs+k4C8SS03vVDxG/h/OXGWaZUDifTcHnmvf3pVTO493uBFMTsUgPvunDZTxlcpkptOfTcMdYDXpvIF7cPPQLNfB+d01E64WJ+ePhls9EYL1h8imxq0rhqtDl2vH5fJAbnKdcb/9zWALjUbLnSarQN16F6bYOhnB3gip6Msi9+s13NEgaD0gm53mjZd5+mMsVbfaH3zP+33R5otAc3n1hsQZtQWQ6O0P8RBEEQBEHQ/5GfJocgdUTm/5tv0D2vCSedNxyFI4XqbxYC8BP9/3wyJV+tBROpTdehdMEAp3oyyroYVdEsd8d4xuS95UsYitlZ0wYcD4IHqglOmylVivXGXbbZt7LTler1bLmazBeimdxxNGE/8urWt7kz2g9C2UsWn5BYyiUS+7C59x4s9xmDR85oCNcMus6Z0e36T24dtgCvShVK226vQDP3nMU/b5mW+cM7fhTLBjhC4touTAS0ZgGeQ6MJxmiT0xOGlbVdlzccBdNO5IqZYqlQrZXvFhdATOLU6rlyNVUoQqOdxJM2j29uc1ugmf88NvGKJSB2KwzRui58m9Bo8NeRCaXRvuuLxjOl8q33d9wn/4cvRWE0vWILbvdgAeBmmN+0Fn/bCiMIgiAIgiDo/8gv5sCNM+26pZ8rumZp7u9k6pLprXZw1z/c/88tt5UZHkSOoZhpFdLr+k58e28zHADedHRCJdIt6ja27R4vmGemWC7XiFkA+IIqzTDyc8i+ek6leRhxMGH+RD7/QCK56z022hzgYJxp3ZexCfiWWwb7vX3+INifx8ZVy+Yl687Y3NJzJr+rvZpdH40j0C7s+U9AcW8xPQGKvuc74c5oOzabtBJJCNRz24eev9LpswTg1V3fSQ3QnAjgvxdI6VPT40vL85u2rX23O3waz+VL9fp5o7XmUC62G7npztsNAPeOpLNOf2DFvgeNxlJpPknGB7iipzR291WNxvwolE4ZVvcDwWSheMc5iHvj/9Wv//trYvHCNNP1gY4pXzAmCwVMAYAgCIIgCIL+j/yExf98tQbe1UNh3HqM3srUBc623QwOR/8/PzlIuCccNdh2+LM60MiLQeMdmRSIuQC2AJxzdFLFmdGNzRlUK+v6bfu682DH43edhEACfZHYSTwZSqQA+METjuyfhMDzrW7PpusQ1FFjtsgWDNxpDZzks2T8NU/cx+A+pDCuSO5AlCpkcEcmlLp1i+skGM3k4ON7I1Hl8tpzFp88X9DVigKY1lkOjuDT3exOq1Qd3mN4F9Bp8sV0U+gDbIFcbzwKnRZr9VS+eBSOmHZd0nmipMLVOSma9QI5AxzRB6GUKlMwlWrJnH7GZNZb7WbnPlykwwftFoR2O47FA4lkOJkOxJP+aPwoFDkInu55j7f23Ubbrsa8Ob60zFfPMRQzg9KJt3wJNEj3lRExXV9GHo+wiMoO5i2H13+aypR/RlaC++H/lbOviXyRNjn9ZJR9lwcLwFDOuo6DFawCiCAIgiAIgv6P3NVRa41wKkOVK+84RgeeM/kSnR4spfyv52b7Nf3/3HvBk93B8LJ9V7ZoACG/Zp6FZgJ85jMG7w1f8kU6OTKuZChmWUoNd0Yr0MyLdAtC7QL8wJnWwu9pkyqqXDEknfwgkr5iC1oRB9daX6XQ+zlC8Hnd+vaO1x/L5lvr5FWiLmDjOJZQGE39bAF5p0AzHSCbqVKDYKcK14r4aIb9F21HPpZS3d2ebqCbQnvDEyuNa+Q7p9JMs++PxFd39sRaPXwjj6/daA+pzNYeAWhqinxqZELJVMyyVRpwe2gxsXYRGo0/O8dWaUGqQVCHZJPvhX812nW2qRNbFSj0AY6QqVTrNrZ3fSfRbK788wLU74f/56s17brl6Si767Y7/8/5JBk3Wh2l3+epgiAIgiAIgv6P/KLkylXncQBG2O0xt/QHQ6M/jMt9RGWQJROk6L1QptuwgA6h/3eshRZrjVS+6AlHlu27Y/OGkQkVWP3j0e+G4p+vMD9olsGDy3vYbHDi32FmLwn4b+v3PRQGfHHdxHdH6/pO5Dw5Ux1o/6B0kq8G87fseo6j6WyhWocGabvseuMoFJHrjW8FEnITwVU9Y/CYKvWm6zBTrly9172V8M9ycATv9QSEsKNOHlekXF5zB8P5So0col9pbsWHbwG812BzyBaNdMUMkbBw9MeWDi0AdyMBld5qt/NGA8n/q9HO2w0ajUL7YaM150por1h8inxKoJ7TrG/aj7zxXKHZaD9TTe+B/+cqtcNQ+INQ1tN+ez+lsX+4F+DBhRyQ/RyRwmAqYQoABEEQBEEQ9H/kjqQKRdOu6zVPTJbD50xeRxF7Qo3ah+ngUS+Y/GdEjPS3AT3Y3ciEcsfjAyn6Lfbr/jv+T5oFqEODH8cSlv2jGdM6Z1oHmveKJWil4rv7SunVq9atNHXwrX0QShmKmYml5RX7njsUjufyuXL1UodvpTN0nQTleuMbvoQcBQDC3EfnsKe1u75jovTDd6YAmnHgBSLhn3b+OWnPfyvhH3z2Cf3yUSiSLVcuzSYAv4R7Cc4AjWb3eDXmLc609vPY+ABb+JTGucvG8uuXt4S+8JzJh49PlSmg0Uy7Tmi0aDYH1/xPBKX/7v4PNxIRNrJihj7V1RbMwvgokT9u3w7QdaHSxFMau2N7CPyXN6MtVGv4uEYQBEEQBEH/R+5ELFeYXdsAJyQv43+WjPezhQ/a07N1pD0Hk/wglI2MK8kp4pop4rkKoymYSJZ/h5Jd/6b/kwUpUypH0llPOLrpciuNa7RJ1Ru+uI/GfjTMhCu5zlr0dYS/FanejB2g944QUfFfxojqdGt7rsNgOJRIXafoYLUZJOI6CY7rl1+xBZ3pAOlcgWaeSAdYLF0UeHgtSPKO1w8t3JFKsJXtH17ri8RA7a5OJdiqX5grV6LZvPc0ajk4gpuWpdS85ol7R1hEHAqV3kOhP7hzo52XG4R2gzscGg26Bmj/2NyS3mp3+gOhZPofrdR4D/w/Uyyb9pwDpCnF1jaTd4IxlkrzjMnrKB3Ssdr/TjgGDxZyXAwcQJFNpovlKqYAQBAEQRAEQf9H7kI4mRao5x+RVvtBF4Xahc+ScfLi6lMGr4/Be0ha0IMB+qB0cmJphSJXPCTJMwzWB7giEJhUofTrp+z6T/yfvDaeq1SbEwERh9dvcrhmTBvcGR1cAFF7b5h5a5vtapoVuBZoJHdGO2VY1W8TGfIPAiH4xn8YsX9JFECl5glFWukA26YAmukAoQGtbm9HOsBWakmH95g2NQ3HdGT7f8nig1S7Q+FyvXEjr2vmEaxFs3lfJAaNtmzfnV41C3WLIxPK1zwxcYveYQoALuzJKPsNX0KbnJYvGvUWm93jOwyGA4lkMl8s1/6NLei/u//DnQBX25Yz8svIKxbfaNv9KJZ3BBa95oo67g2KfIqhmIH7n/zLd4Ixz2m08jtMKSIIgiAIgqD/I79upK73NEqVKx+QorJ7R5jadQtTpSYrMdgajN1bfnX+y/dC6cTSsmZ9E37ocEKGchbEKVuuov9fdy6gcZYDrc3k3MFTMKi1PdeSbUe7vjVpWBFo5qE9h8cVQ7LJzxL5B6HsLX9sgCvu54rAVOFqB6UT1HElaDZTqear58CrVcvmRYsNTmL3eMGxQ8nUHVetq1//V6wR6QCJKQAmnzw31IwC4LBUmnXXwXk6wHKzAqLtyAc30iMq40H7yv8bnnhqabUl/3dsNLjHIumsLxLb859YDtxGm0O9tgHqLtQuEJkR/263TxL5O6H0NTQaRwi3MdyxH0WyL2MTFLmCPjXNm9VKFwyqFfPilnV1x7l1cOQ6DgbiqXSxVLlQOBD9/wqOY3G4/Z7SOGTJf8EUCGbnnMeBPjqXfCfAXQR37AehlHwwbXIazkCVT5EfKf1soWnXiSkAEARBEARB0P+R29OKzSaPv1vZ4GGoLVDPkVUfRvBslRZcro/BPf8l/MyZ0W67PbJF4zMGjzyyf8bkyfXLYCyF6i89ZP91/L+1sk0Urq83ivV6sVaHbyeRLwQSicNA2O7xbe27N1wHa7uuZfvuknUH9H5hy6q37oArmp37m/tuq9vr8PhBXL2n0dNUNlMsQ+OD85drdTjt3SWWSMhXr0NzjeuXO3MBDI7CzcBQqdddB6D95VqDSPh36IGG7UiqT2T754uVRtNhMJz/Udj/9RutVG+AHEKj5SrVaCbnj8Th/Lu+E2g3y8ERtI/J4TJYd/QW2zzRaHajzbG6s7e254J2s7m9ruOALxKLpLPpUhn0m2i0eqPcOPtPFpx/X/9PFgqqFfNbwVhXm+QzQPLNzgOD1UGOzuhqTiDKFgyD0kny8UzFrGplXTKnJ0cQwPNEsbxWRP9HEARBEARB/0duTSybB9MAlzsfZ/eOMKlyBViTSLtI9n+wO5B85fIaUY+dpCVfxiYsh0ebrsPRSVXvCIu8OwAsWm3e9Efjv/Kq3S/l/5eub0PrFYi5gGqmXAG1BqtPFYpAMk8AP6SLJbBWIFuugP2CVBdrjdINg+qvHwVQqNYOAmH5ovEtX0JO/dhMB8hlqjRWt/c4lth0uQXaefKsUGtffT9HOGVYBZX9XsK/u19hmZgOqBeq9XylRrRb6a92gy8UWixRKBCNVigRlMqZZrvlK9Uiof2NX2GH+e/o/83oleqaw/VBJAXhJ6/nvxfIFrZs0Mv46jnyVn+4H2QLRtWyeUjWttTPUqoXLTat2UKOMXk8yoJbK48pABEEQRAEQdD/kVsTSCTVaxsvWd+S/z1jcIXaeXcoLNbpH5IT+9PYM6b1ZfseRTZ1Pi6HUXs/VzS3uX0cjcN4/W37mvBDKmNINqnftkczuV82EcAv7v+/IK10gPsnIdmiEb79B+1G10cjNgLATcVUqTuy/cNtA78R6xZ9kRi4IuZyuzf+30oPcRSKfBmbeERtk/+Hw4wp4+phIOwOn75iC7vIhS2HaBvOA7hVPo+Nk/2fO6td29vfdLnJD5MeKv2tYCxbruDtgSAIgiAIgv6P3BLvaVSuN/bRuaRS24LpVXMokZIuGMhDedBj8H+b2yvR6ftIm3ufjLIZillPOOoJR2TzhueMtuTevcPMIenkunOfyN2N/n+fpgAqVXcoPGlYed6ezr2rWRiynyN8PMrqSPj3nMEX6/TEnv/GWRWb8R75f7ne8JxGBcTyPr2jmN/IhMrhPQ7EEwabo6d9w8jjEWY0m1ObNz8IZeSXiLQLu95j+LA91Lbje4cZ6VIZbw8EQRAEQRD0f+SWHARDfM08qNr5OPsNX6K32hOFgtK4Bp5PXr8F2XOdBJfte28FY+Rx+TMmz+w8SBaK9iMvf1bXkfrrEZVBkU1Z3V6iWPqvl74b/f/WUwDFWuMklpheNT9n8jpKuHUAf33NFbXC/u+Y8A/9/5e7E86+HgTCsnnj4xFWWyWFwdE3PIn9yAf9aM9/QpuaJk8NPBllMZWzcDNMGUz9HGHX4Lc/jeuNvkg0nEz30bkdxSajmWwZSwAgCIIgCIKg/yO3w3kcYKjU5OJ/7wVSs3MfXF1j3nzFFpCju8fm9O5QaD8QYihnyaG53RTauH75JJ6KZnJb+274K7nEF2gAqDUI9p7vJFOq/GpR3+j/d5kCgNY7jibGl5Zf88TkW6JD/t/yJarlNXcwXKxi/rZ75f/Qnb2R6JRh5SWLT9Z7uBng6aG32FtpF/RWex+9bVrwDV9i2nVVGmdinf5pu+dPr5rB86PZ/Bue5EH7vJLvNFqs1XHnCIIgCIIgCPo/chscXj9Vrugmqe9Hscx25C3WG4vb9vdCGVnqBBqiglcwmZoxrb9g8MmGPyid3CbKv5cj6cyqwzlE5AhoS/T9nMmX642uk1D2F9v4jf5/xymAQrXuDoUvVgRoxYx0NxP+KYiV/3Duly8Gif5/U/mPpLPTJvMHobSbQiM/EOBLly4YYtl85ezrYTAEkk82+YdU+ujUdCiRhr8yVRryPiN4VsxvWjOlcjybH5JOdsSV7B0H/qG0kQiCIAiCIAj6//2Xt+1DD7ju+dAchO3L2ARYerlxZtp1gtWTUwAyVLM2jzeaze94/J8l4+StAU9G2RrzVjSTA3WBf9XmzZYNnh8Db/FWMKZcMXubK3jo//fnLjojcgHsn4Tk+mYUAOle6qHQXzJ50vklz2kEte2e+T88IuA7XbLaP0nk5IT/XUStPq5QuwBX2ypmqYdjxHLyCv8AV6QwmuBjFusN6riKLPk9Q7Rl226pXk/miyyluqOUwNa+G3olJo9AEARBEARB/0duTKl+tuE6AFE/H5rDQJwqV4KiE1MDbg9tUkWO5B+eUJqd+0mifFpJoJ7rodLJ2bzZKs2O1w8qWKo3gkkifeBzJp+86NdNoX8QylrJBX8dFUT//ykTSfC9HwaJKIBnf6cDJBJDELUkFjzhCOgcOts98/9MqWI98r4TjD1sT/gPXZ6n1u54fa1pvlgmJ9DMkx8jAG1y2nrkg1siUSh8kU6SpwaejLLhIVNpnEHvG5tb6qgmYLA6Yrk83iEIgiAIgiDo/8iNyZYry/bdfo6InKuPpVKfxBLwV9dxgDejg+E4eWvA4rYtni+Aveu37e8FUnK8N9i+asUcTqZh7A4Q5QAWDC9ZggdDo+QiAq95Ytm80RuO/iK11tH/f1YUQKFaP44m5jasFNkUaOHopEpj3oTbABP+3TP/h24bSqSWrDufJW2r+n9V75vREvOAfxfqW9i0vSOlC20ZvmplPVkogv+7Q+EPQin5r28FY5aDo8rZ10ypPLO63pFTcNa0cZrKYCAJgiAIgiAI+j9yY+K5/PyW9RVbcD687qNzhJr5YCIFfz2OxqULS+TSgHCkctkcSWfhr77TmFC78JTGJkf4g/LB2D1TqjSDC+qu4+DYvOEFk0+WhO4h2jMGERN+GAhny/99LgD0/58YBVCqn0UzOavbu7a3b/f4wsk0yv8983/osP5IXGPe/Ei6vPOuPSSddHh9rY4DDh/PF6gyRcfi/8iEynLogb/CqVYdzgGuiJw4kDY1vec7qTTOcuWqweZ4OsomPz3ki8ZAIoH+jyAIgiAIgv6P3JhIOgPj+JdMPnkNXzpvCCXTzdmBApHnj/TXR8NMkW7xJE5EB8DoXL9t/yCUkrV5gCOaMKyexJOtwT1ogO3IJ1DPkScRWjnhXrH40gXDru84mS/8twW90P9/9hRAI1+p5SrVfLVWrjVQ1e6T/xPZ/k+jipW1jyJZT3tkfg+FCO1Z3XGe9+hirb6253zePv33iMrQrluCxA4g4mxK49oLpoB8QDNbRBT+BHeR2XnQR+eQ/yrSLpzE0P8RBEEQBEHQ/5GbE06kZ9sN/xVbMLG0cprKNIfvDf32Tj9HRF7hZ6jU7vBpK3R//yQk0i2Sa3R3UxkUmcKyf9TK9F5pnMWy+U3nAUMx+3iU9YAcBUAh0sKPzS/ZPb5kvvgfTgGg/yPo/9fqKbV6OJmeWFp+J5B27Pl/OMz4IJKCzCcLxUrja7NbNSLpLPNCAr9PkvFd/0krNUDl7CtLqSHvMAK061uhJBF/lK/WLIeePkZbaUDejPY4Gkf/RxAEQRAEQf9HbkwokZpZbfP/frZwwrByms601vrMzn0Yr5OrA1JkU9tH3lyF0PtUvmiwOj4IZOT03S+bC/uBeLI1Ri/VG/FcYdN1SJUrwRnIUwAPhmhwMF+tsx15M6Xyf5UfDv0fQf//YVhH0+czYPjQZzuqPEL3B/mfXdsIN+OGWqQKxa2Doyft0fuAZn2rtYGo5f/vBGM97cX/4FmRbGYYKVTrVreXPL1IJBeYJvy/8p9GDCEIgiAIgiDo//fE/1+xBZOGv9b/AYfHz1JpyCm4Pgil+m17Il9oDd/dobB0fukZg0sWlQGe2ORwpYvl1hRAK5WX5dDDVmme0bnkKQAY2ffROCPjyg3XAch25b9Y1kP/R9D/ryZfqx8EQuN64zMGr8PnwdiHx5VGu+Pc6luBP/snQfrUTMc0wQuWIJBMlpopIYgM/8Vy7wjzWxlRYhMB/YgIL6q34o9sR74L/q/zR9D/EQRBEARB0P+RW/h/MjWzYm5b/+cIp4yr5/7vCUfJFd1aB0wsrZwv9KXyxa1996B0klznD0SaqVIfBMPlZpRvi0ypsuPxj80tvWILyQd3NY+nyBWLFpsvEitUa/9ycC/6P4L+f9UuoVR61bHHmdaC/Hck/HswOMpUaeAJEM8VyC8JJJLTq+be9tT9fXTOlGG1+HfVj1ylCo8IcugQnG2AIzovDlqs1S/6P1yGH9f/EQRBEARB0P+RWxAk1v/B/wVkvZ8k+T94/tzG9gBHSK7dBW7vbSboaoX3w1h/ymB6TppE6GoWftdtbEfSWbDrv0KIz76mi6Vd38n40vIbvqS7YwqAQv8okimMazteP7jEv5kOAP0fQf+/JOb/7CtcBrzj7Nr6oHQCOn7HtN3jEdbwuKqVv4Ms5IVqzWjfHRybbEv7N8ykyqeOgqfnR8bzxcVtG/mc3RTiM0YyudZWIPB/+1Fn/D9bpUH/RxAEQRAEQf9Hbun/0yud/g8yf+7/mWLZ7HS9F0q72vb6yhxef6uuW7UZ27/rPR4eV3ZTGeRMgXTFjOXgKJUvnq/nV4gpgPJBIDxlWB3gimG4Tx7Z91AYA1wRePjqjjOQSBZJsQPo/wj6/7/p/9C7E/n8/klIOr8EXbUj2x9026c0Dn1qxuzcz5arHbN1R6EIXzP/uH3x/51QqjZvkKN74OHDn53reALA4yhVKP69/t/Y8fgu+r8vEkP/RxAEQRAEQf9HbgwRptvu/wNN/z/fygsa4DwOUuXKnr8zfnV9GXnFEizZdtLFv9y4uY+3pILzsPjk1bw+GkeuN4IMkE0eRva5ctUfjcOfXrEFPaQpg9asAbxqUDqpXtuEY/LVWquOIPo/gv7/r/l/uVaPZLLrrgM2EfPflrCj1UmfjLJYKs2W6/D8IfBX724m7Vcur73miTsW/wXa+fOgoeZz4H9H4UjzsG9n7h1mbh964Ay1v9b/Gztef0f+f/R/BEEQBEEQ9H/kTuv/zxl8kv+Lpgyr5FRex7HE2PwSaDl5H690fimUTJMX9sFMQAlgoE+OEH4rGNOYN09TGbLDE7nEG2dwWuWy+b1A2nNhabGHQu9nC8U6vdXtTeQL//RYH/0fQf8nz9AdBMKqFfMnyTi5O5/zjMGTLizteo8zpXJnV2qcbboO3wmkcLXkl1DkUyaHq9ieDWRr300OK4CO/5zJj2Zz59EE4P92j68j4yA8ZDD/H4IgCIIgCPo/chvCyfSsaf0li0+u3idbNJLreEUzuSXbzmue+Futbyrjo1i+HwiRK/blqzWjbfeLdII8pgejHpROLtv3kvlCx1tXzr4GEqll224rr1jXBc14MsoeHldqzJsHwXCr3CD6P4L+/8+9aalWj2ayS1YHOPZLUjoPUndmfpLI9dv241j8fJX+HND1QCI5JJ182C7/fXTu3KaVPKXYijyaWTU/GPom9o9HWdDfS40G+ZGy6Tp8SueQ/Z+v1h1H49X/olAIgiAIgiAIgv7/exPPFeY2tl+xvsX/P6VzhbpFGJ2fH5MrV/f8gS/SSXIdr6c0zqbL3RbYD2P6eFK1Yn7NE5/vAiDK+9E5DJXa4fWD0nSM2iuNs1gub/f4pgyr7wXShxRGV3sgwEMq4w1fItQtLNv3fJF4tly5Y4FAeMd8pZrMFyPpTDCRDDQ5jibgs9CnZrpJ/v+GJ9aYNw+D4cDfhyHIv4b3NKZe23grkJD2xtOpcuW66+DbYfEk3MOnqUwiXwBVPk+0eYsF/0K1FkykLAdH0H/fCaSPhpnkjTytmP+XbD57WmdyuFKFYrneqHau/H8NxlMzpvWeIVpHLxbN6d2h01L75Tk8foZyliz2/RyhcnmNnEoA+rvR6oBHDfkw6YIBPjv6P4IgCIIgCPo/cmMyxfKSbaeflN6/d4TFntaexBKk5fFGKJlmqTTnetzVrNSlMW9FMznyeL1Yq+96jwXqOXLKrgfNot8TSytwzvLfpb/IAcOZYskXiWnXLRT5FLywm0InywP89xmD90kinzSsbB96TuLJdLF8U9Vplh4oB5LJw2AITrJi31vYsoJfga7MmDamV9bF2sW3/DFySYI+BpehmFEYTHAAgvzLKI1rjKnpZwwuuTbea55YqF0gHbYO9/Dc5vayfddyeLQfIOaqkvnizYJfao1wMu3wHMOpaFPTL5j8jv04zd37jI8imVy/bPf40oXSpSk5otn8qsP5TiDtmDV4w5fAq6CPV8/IkQJ1o223nysii/1HsXzL5SZP8GVKFXjIPB5lkw9TLq+FSTuPEARBEARBEPR/5NphxtX62q5rgCsil+CiTU77o3HyYal8ccqw2keyEYA3oz0IhArtuf3iucLanosimyJrPPw8wBUbrI5YLl+qNy7Kealej6SzJoeTM619xRZ01AXoap7hJYs/MqFUrZhBJ6LpbOF6qQErxNpmPZEv7nh9qpV1lkrzZWzinWAMVGqAI+znCOHt+tnCZwzeQyqdvG7ZQ6H30TivWAI4AEH+bViCpzR2T/tcWA+FATfq+TFw98I9PMATvxWMfRLLmSq1wmjadB0mCgUQ7KsjZarNaP90sXSSSGrWt+hTM/AQ6MjY33pT+OWQbGphy+Y9jYGQX3q2XKW6uX9In5ruuOCndO60yZwsdKbwOE1lJg2r8HHIMwVwDcFEinwYXB48dnrbr2p+YzuayaH/IwiCIAiCoP8jt4mH39p3vxVIz30bfqDIpzzhCPmwfLUGVv9RJCVnAgelB2PvyAFWbpyFEimNeWuAFFPQWr2kyhXrroNUofS9sXuqUNz1nYDhfxBKySJB2n5MB+0ZHldOGUyukyCxHeBHacDAWA6D4RnTBkWueMniP6QyOgKbEeQe0Nos84Ip+CwZnzSuHgTCF5PztfXTeiOYTK7s7LGntWD+D9vLcHzL9DHM5M3qbB4vkZbvwszd+VSCw+vnq3Ud0wfwX+q4MpzKXOyktiMfQ9EW/N/H4Mn0xkK13v5AKAm1Cx2lB1d3nPFcAR/dCIIgCIIg6P/IbYCx+CfJONmKQSGcxwFyjD2xBSCRYqs05FX9HiqjFdVfqrWN2ok0YPGERKfv2LgL43imcnbT5U4Xv2smxeYbbbgOeLPajrzf5OwDfQzuyIRyetVsBzNJZzsu4FtMciZrcri4M1ow/27UfuTPoI/OhY62bN87TWYuhsPkKlXncXB+y8rXzL8TjF060Qb9rneE+WVsfHZt3XMaLV7YtkMO3jkKnUIX6wgO6qHSQf4tB55LX6Iwml6xBeTeDQebna6OmIVkochQzHRcodXtTRdLVXx0IwiCIAiCoP8jt8DhPR6eUJI3/X4UybYPvR1rcaV6XbViBpEmzxTQJlVb+5f4PBy86z1mKGYfj7DaVvnoHFAFGMFfsThZaZxlSxXXcRDejsgIwOBeXLFvJSB4weTTp6YVy2umXac7FEkVSvDac1GJprN6q314QvGExu5CLUT+nFiAv+tu6NYtraz71WYWz0AiaTvywi/ZKs0Va/7dFPrnsXHpgmHduR9JZ66ItC/XG9FMTqxbfMZsn6obHP0inViy2TPlS/YLwCUxlbPkB073EE2uXybnHG0RzxU+S8Y7/P+wWQ0E4/8RBEEQBEHQ/5Hb4DoJMlXq3pFvhb7fC6Qmh+uiom+6DigyBTkcFyxidm0dBvQdw/FWvj2jbXdINtVLmgKAgX4/WyDWLu75jq8o6Vc5+5qv1E7iSdOua2x+CRzgaXsOsL9FhdY7zHzB5H8ZmxibN6w6nPBZTuKJeL6QzBfXdl3D44qnNA65xljrGh4NM58ziX3UA60d1Ajy2/KCKYDO2zFH1kUk7WNCv1i02KAfHQTCG66D6VUzQzH7kiV4PMLqvnR/DYXRzxayVdol647nNNJMtNn4Xict1Yi0oPpt+zMGryO45jVfol23BBPJS3MQQMf8IJSSuzN0YThPrly9EL+T6+cIH7R3/EA8WarX8bmNIAiCIAiC/o/cBncoLNItgieTN/bPbVgT+c5NtsfRONj4U1Ju/4fDDL567jAYLl6IwK+efQ0lU9r1rQ9CWdtaH5XezxFJFwyecATG8Ves45Vq9WShAJent9pZSnU/W9DbLEvWMRHwV140Ju+DSMqe1oDkmPZcYDv8Wd2TUTZZHuC18Js3/LHRSZVItzCxtDxlXFUgyG/LpGFlbG5pdHL6rWDsKdztJA9vxvCzPorlymUzd1r7ZWziFVvw+LJ5NCJ3wDDjOZM3KJ0YX1qG7hzL5q+I+W8G+DROU5ll+95HofxBe6rOxyOsKYPpiCj4d8kzoVxr8NW6PnrbZgH61LTd4+1IEwD/BdV/TIMLbotNiGbzP8z6gSAIgiAIgqD/I5dzHE0oDKZnDB55OW58aeU03bl5OF+tLVhsr/nic80Ac/gkGddbdy5OFrTCg0Hylca1V6y2vb49FPoLpmDGtB5IJL+3dZ+8lSCWyx8EwxrzFlXWWs+nXRq3DL8H9wDJ+SCSfRLLyZ+oZSbPmDyWSmOwOVzHweNoHN49lEgFEeT3JZk8iSUOAiGTw8Wf1T3vuOeJqTGicAb0iyvSXsIx0IvhIbB96AkmU1es+f+l8V//B/19xb43KJ3oWJyHU9GnZtyh0/xl0T3Q2cPJNFHggzxP8WVEvbZxMfg/V67u+QM9VCY5cgc6daZYxoc2giAIgiAI+j9ySyLp7NK2vZ/zrQTgUxqboZw9bi8BWPs70TdbpXky+i3R9xMam63SuoOnly7KFao1dzA8sbT8nMnvsI5+jnB6xew9jRV+NAVQPfsKJ4/lCk5/QL9tF6jnBriibsrN8vl9EMpm1zYOguF0sYTrh8g9I1uqeMKR+c3tjyLZ9UsGQEemyKbmNrZ3vP7TVOaHPbHVGVP54vym9cvYeEcffERlwLsfBC6JBmqRKhQ165ZuUjQQyP9LFn/Xe9yRbaQV/L9s3yPvU4DzU+XKK/YNIQiCIAiCIOj/yA/IFEuWg6P3Aik5Uf97gewwGLp4cDSdhaH/a564i1TY7w1forfa04XSpefPlStwKum8gcjn324gb3jiKcOq6yR4zTE9kVagUHKHTpftu5I5/SfJeB+d88N6fnBAH507vWoGw/nh2iaC/KZUzr7GsjmjzfFomPngsgCZc+2HA6C/82Z16rUNq9uTypdK1+sX5cZZIl/QmIlNPd3UtgwCvSNMikyx6nBWvrNroFSr+yKxDyJZ236BwVF4MpymMxfz+QdiSYXBRPb/p3SubNFYrOHmfwRBEARBEPR/5LbAePowEBqUTpwH1YMwP2fydzy+Mimd/vnBDq+foZgBhSDFC3A401rvaezSDcPwy0y5sucPgG+Ah5N1vYdCfysYk+uNu76T7GWpwi+RnMYZuEq6WDoKRUB1ZHoDbXL6LV/SUWigrQ75KJuhVDuPg2Vc9kfuNeVaPZLOQI8gR+icr7Q/pNJfsPhD0gmxTr9osTn9gWgml69UL3bz7+3ECacyi9v213wJnIo8l/eQyhgeVxqsju9NAhJTh9mc0b5HTgXSmomA50mmVLl4Ae7QKVulJU8WvGTx9RZbqYZTeAiCIAiCIOj/yG2BkXcglmAqZ8/jcmFcDjq95nBdrLNFHJxIqtc2+jlCssa/YgvXXQe5Su1SkQBph1Ntug7Bw58xeOQxPfjAa554bN7gPA7AMZXrlfWCdyk2swOexBJWt0e9tslQzr4XSJ8z+L3ti5/wWeBS57dsqe+bCYLcm75cqNVXdvYGuKKu9jX/Vyz+yIRStmhY23X5o/FYLp8rV68/IwbdDfraks3xTiDtprTJPzw3vkgn9Nv2SCpbPfve3MEZdHDujO7/2mcNPkrkqULx0svY9R5/EsnJk3oDPLHd68NZPARBEARBEPR/5E6cpjLS+SXymuEjKkNr3opl8xeFPFuu7PpOKPKpc81u1Rsf1y+fxJJXBNjDQN/kcNImp5/S2F3tOcNeMvnSuaWDQChfqVVuUtkbZACuB67/MBgy7Tpli8bPkglybMLDppxYj7y45x/5Q6YAQonUZ8k4OdAGjB3Mf9d3fBJPQjeELla9US+rN0D+5zaI5AJd7dn+4b8DXJHB5ggnM1d0sUS+sGixklNytnb+q1bMl/o8XOHWvruPVGqkq5nCI/CdmoIIgiAIgiAI+j9yXeK5gmZ96yWbT16Wl+j0/kj84sZgGH9HMzmlca1tND84+ponXt1xpgqlSuPrFRqw7jpgqdRPaeyOPclwNr5aZzlwJ/OFWwzxwWey5cpBIKwwrvVzybkMOexp7WEwjN8y8ocAHYGpVD8kRdrDz4sWW6Z0m8z50LN2/SeyReMbvuRitv/nTJ7J4Yxm8+X6VfNrloMjxtRMx6wfVa64mGS0RbpYXtq2kTcLtI7PlCtV/IoRBEEQBEHQ/5G7kC6Wtvbd7wRj5Jx5X8YmHB7/pfX5CtWa6zg4JJsiLwaCG/BndXv+QL5Su8Ilkvmi7cgn1C70MbgdW5SfjLJGxpULW7bjWOJi8fDrEM3k9Nt28gd5xuSJdAve0yh+y8gfAnRPvnruCY1DkmfG/JY1VSje6DyVxhn49rrrgKGa7aimSYQIDTM/SeSLW9ZMqXJ1TD70yrG5pT7S9QBv+ZJZ03r5O5v5ocOO643kEAZ4XIh0i7d7LCAIgiAIgiDo/whZGOow4KbIJskL8jBeX91xXpqaC8QgXSxPGlbBrsmlvAe4IvXaRiiZvsIHKs0c/ru+E4F24TmTRx7it/IOfBLLFca1g0A4e/O1vkg6s2ixkv0f3kKs06P/I38O+WpNoJl/2u7/unVLIl+4/kmKtXowkTLtuiiyqd6RzoICT2jskQnVknUnWSj8cCuB0eaATt2e+JMh1C4cBsPfe+3Wvnt0QkV+yXvBmG59u4zJ/xAEQRAEQdD/kTtSrp+lCkWOStNDyuwFg+/ZtY3TdPbiFoBqc+P99qEHxui9pMT73RQ6QzljOTzKlK5K5l85+5qrVO0en0A7P8AVkkt8ESnBmxkBpYsGh9cfzxdKtfr19yqD/y9sdfg/X6LT+yIx/JaRP8f/+Xfwf6LKZrHkDp/ObWwPSScfDTM7Kms8pbEZipmVnb1oJnd1Wg14SsRyBaZi5mn74v97gdRg2/leyQ94lW5je4ArJr9kZEJpO/JhFg8EQRAEQRD0f+SuVJspvqaa6/nkhT6hduEgEC58p+B2PFeYMa33c0TdlG/LdP0c4fjS8kk88cOReqZUsXt9Y/NLr7kiYt6B9L5wQvB2zox2bW8/nEwXqtedAkD/R5Bb+3+1FfNfLFvdXtmC4Z1Q2kOld+Tp6B1mgvxvOg9j2dwPeyUY/qrD+YLJb0tGOESDR4Q7dPq9l6cLRemCgZy/AB5K8CwKJdNVTP6HIAiCIAiC/o/cncrZ11WH66NYRl6NHxybMO/tp4vl771kz3fCm9E9ISXz66bSP0nkBqsjmf/xZmPQg8NgaNa0/p4oKka7kA6A/UU6oVhecx4Hc5Uq+j+C/KP+X6o3EoWiem1zWK7sY3A7Yv6Bx6NsvnrOdRLMlMo/VPFirX4cS3ySjPcMtXXtN3yJ9ch7RY+GZwJDOdu2+Z/OnTGtX5FYBEEQBEEQBEH/R24WAuA5jbKnteTieaAQs6aNWDb/vbF+qlBasTs/SybImbofj7CocuWO11+o1X+4gR8kIZRMm3ZdIxNK8laC86XCF0w+yIB+2x5IEMUFq+j/CPKz/R86eCxb2D70SBcNL5n8Hgq9w/zhDO8FUsWy2ROOlK8XhB+IJ6cMprYEH80IgrmN7Ug6e8X0waLF+kEoJT8KKPIps3P/6hIDCIIgCIIgCPo/cgOIlH7G1T7Gt5rbrbDbo1Dke2m3YRDvO40pDCZwBnKQ8JMRlnTe4I/Gy/Uf5OuCM5QaZ6liaevAzZ3R9rPb0gH8lRFgmPleIJsyrFrd3nAqU/z+OdH/EeSm/p8sFPf8Ae26hT41c3EOjujONDb8aak5B3fNHfixXMFgcwxwRB2TCJ8l43CS720paiUWEWjm++hc8mXAw8QdDFUw+B9BEARBEAT9H/lpWwAaZ83iedJu0qZfqlxp3tvPFL9bORz+ZD/yMhUzj0ghAN1DtNc8icHqiOcKP1wtrJ59be46LtmOvLJFw0ex7HG7hHSBOVAZL5l8plI9t2F1HgdjRL3xBvo/gtza/6FjZsuVk1hi2b7HndG95Usuyv+DIVo/R8ib1W24DiPp7DXT74PeWw6OWEoNeS4PfoZT6bdt+Ur1e4v/YPjRdG5Q2hZPBA+ThS1bNJvHbxZBEARBEAT9H/mZbLu9DOVs7wiTlM9PpDSaTlOZK2YNoums3mJ7yx87j/Xtag73OdPaHY8vUyxfJ2sXHJMpld2hsG5je3hc0UfnPGjfNtwMK2C/F0jBbVZ29k7iSbAXYkcA6eTo/wjyQ/+HPpurVMHnd33HU4bVD0IZHNzd3t2g9z0aZg5wRROGlf2TUDJfvGbYP5wcutvYnKGPziWfsI/O485qr478h+684Tzo5wjJ0xDPmTzLwdH3QgYQBEEQBEEQ9H/klpzEkpOG1WcMHtkcmMrZg0D4ikj+Up0oFS7ULjweZZMH7iAAE/rlo1Dk+mP3Yq0ODr996IGzPWPyui5kIAMtAVf5IJKNzS9tudynqQx5TRL9H0F+6P+ZQmnH61etmEcmlC9Zgq72Lnae558qUyxt20/iCejg1eu9dbX57gqDaYArbjvt4OiwXGU59Fwdw1+o1gSa+ccjLPLF0BXThxj8jyAIgiAIgv6P/HxzqNRMDudHkYy8GPhWMLZgsV2dPKxUb4BRjE6oyLsAwCJe88QKo4lIBHC9yOHW2UAhwNh1G9sUmQI05uIsQLM6AOuzZFysXVyy7rjDp6104uj/CHK5/29YIulsNJvbcB1IFw0U2RR0jQeX9awHQ7SPYrnSuLbrPU4VSjd6a3gOLG5ZB4iaoG1ZPD6IZNAx06Xy1XN/gXjyJVPQcVUGmwMuG79WBEEQBEEQ9H/k53MQCIt0C30keQCRYKk0Vyt09ev/MqWKftv+USQD2SC7xDvhmHptI5xK32gFD04Yy+Yt+0cT+uVB6cST9iXB810Gj4aZYPsCzRy8tdMfcBJpzLbeov8j6P+kLtxNpQu18wsW25TRNDhG7K6/dE6tm8p4yeILtQumHWcokfph8s4OsqXKnj/whi/pkP+ndO7M2sZJLHF1EEE0mzdYd8gzjw8GR5+z+P5IvIjB/wiCIAiCIOj/yD9BJJ0Fl35NCt/todDf8MdaW3Cv2LsLeu85jU4ZVl/zxOeDeCKQeIT5eWxieWcvmS/e6ErKzaSAoO7LNodAMw+nfXTBW+C/IBtPRtlv+RLerG5yaYU7qwOHQf9H0P9J03Cjb/jiD0JZH4P78DL576bQoNeMTKiUK+ajUCSZK5Su7OwXyVVq+ych0dwi9McucuZOCp2vnd8PhK92eHh6HIUjbJWGnPUDLpU7o03kC1UM/kcQBEEQBEH/R/4JCtX6ni8wLFecL+J1NUMAQAyuzt3Veu2O10ds3Wd827oPPzweJeqH2T2+bLlSadwkCuDsa7HeiGXzB4HQ9Oo6Ra4AS3kIgnFBYEAz4CJfsQTPmbyHpD0I6P8I+j/0lx4qnZxU/7xrw5+e0rlEQo1FIqFGOJUp3ND8m6H7DXfoVLVifsbkdfTKd3zpjtefuTLyvzl9UN3cd0P/JXdtONvqzh58HPxOEQRBEARB0P+RfwQY+geTqcmllT4Gl7wQR5VNuU6CpR+FBKcLJbCIkQkVWcIfDNGejLIlc0sHgXCuUrupXRCzALV6KJne2nfLF40fxfLeEWZHdYBzz2kpDfo/gv5/sYN0mH83hf6UwRXpFtf2XN5INFMs3eaJ8fV/gXhyZnX9DU/c0Rn7GDy9xZYpln+49+ckllStmHva6wW+F0qh15dx8R9BEARBEAT9H/nnAA3Ydns+CKXkofzjEdbCli2WzV9dBgxcPZ4rrDsPvoxNdFQUAxWXzRv2/IFcuXq7C8tVqoFE0ur2zq5tUGWKJ+3lBi4F/R/580J4agL13NX+30NhvBNIx+aWTLsu6B3ZcvV2Cfahv0fS2aml1Tc8SUcdgZcsvnTBkMgXfnjmcr1h2nF9FMvJ3flF8+VE6QH0fwRBEARBEPR/5J+jVG9EMznerO7RMIM8pm/F8OcrPwjHLTfOYNC/uGV9KxjrWKV/yeSDcux6j1vp+m9HuXl5tiOfasXMUMwMcEUXA5vR/5E/3v/Zl+T2Hxx9QmMPjysnllbW9vb90Xip1rh9T2xm6JgymF6xO5P2P2PyxNpFz2nkOueByxDrlsgRQ/DYocgUtiMvlv1DEARBEARB/0f+4S0AzRDixW3bG76ELPAwpp9d2wgl01fvAqg2FT0QT0waV/u5bZXA4Gyg62PzS05/4IfzCFcsOZbrZ4VqPZxMW91e9doGb1b7SSx/Sud2D9G60P+RPz7+X6Cef0rjkuN3ekdYb3hi2qRqfGl5w3VwkkhmyhXop9VbzxLW6qep7Ip97wVT0E1tT/hP4/DVc/Yjb6n+47z9cA0LW7YPYhl5BqGPxpEvGmNY9g9BEARBEAT9H/kXKDfOPKdRzrTu8QjrPCgX7JqpUm8fejKlyjWCCOp7/gC49wBHSN4I0E2hD3BFcv2yO3QKonKX4F4wh0ypfJrKHAbDBptDqF34JJb3NWcB0P+RP9n/O+v/DdE+S8YVBpPV7Q0n0+liiUjvf5cQoVo9mEwabbvQ4x4M0b4l+yRKcjJYSo3l4Og62QTgGqD/slSaJ6Nt0QrD48q1Xdd1pg8QBEEQBEEQ9H/kZ1hEpapdtxDVvEmLe6/YQsWyGRTiOvKQKVVsbqIcwAsmn7yzt4dCf8niK4xrnnA0X6ndcX9vKztgPFeAsxltDpZK3UfnoP8j6P/kSbfx5owbdMm7b6cvN85CidSixfplbIKcsa+rOdHwSSzfPvSmrlHss9os+2e07b7mtcUZ9VAYqhVzMJnCnf8IgiAIgiDo/8i/x2EwLCBEgk0WiZFxleXgKHu9HH7pYrlVEfApnduxFfkVWyBbNO76T7Llyk+5WrCFk3hydm19gCtC/0fQ/8lGrVu3JPKFn9HL/gfyP71q/iiUkbf2tOb1+jlCeDhAr7+OulcaZ9D3B8cmHg0zyeehyKasR95iDRf/EQRBEARB0P+RfxEYnbdCfMkD/ecMvli36I/Gr5maK1Mq7x0HhNrFPhrn4uZ8gWZ+w3WY/BlmAkTSmYUt6zvBGPo/gv7/0/2/VGucxBLShaUBjqijuge8xWfxuH7bVqhdN2N/ulBcdx48pDLI2wfgtPpt+2k6g98jgiAIgiAI+j/yrwLjeHcoItcbnzF530IAqPS3AgmM0ZPXCPFtnSRbru56j7nT2j4GlxzoCz/DmRnK2dWdvWgmV7mysiD6P4L8h/4Puu48Do7rlztSbPxfc8//8LhKb7HDW1SvfZH7J8GRcRV5ZxCc9qNI7g1HcfEfQRAEQRAE/R/5D0gVimbnQcdG3yejLNrUNAzfr5mgq3L2NVeubroOOSrtSxa/u30KAHRieFxptDlCydQdMwKi/yPIT/f/SuMsls1b9t1i3cIzBq+rvdTfo2Em0X/tu5F09ppTeNDHj6OJWdM6PEnIp3o8wtKaLcl8EXf+IwiCIAiCoP8j/wHlxhnIs3xpmTzuJ6qIj7K16xYY8ZevvWgPw/qtfTdfPf+SxW+LAhgcfTzC/DI2Mbe5De+VLVduXfQb/R9BfqL/t2p5xrK5ZfsuS6V+TooDOk8IQpEr1vZc0Uzu+o+CXLmy6nB+ksjJG4J6qIx3Qqk/Ei/h4j+CIAiCIAj6P/JfkSlVHF4/RT7VEfQ7KJ3Y3D+8Ti1AUghxacfjky4YXjAF5FN1DY72UOhvBWPjS8vwXjc6J/o/gvxD/l85+xpJZ6dXzZ8l470jzA75fwjGLhizebypQulGc3a7vmOeWgfCTz5bP1cIb1SsNfAbRBAEQRAEQf9H/jNgZJ8qFBe2bK954vYyfgyBdt7pD+QrteufLVuuuEOns2sbcLYH7YHEcPJnTB5LpdZb7aFEqnzzdADo/wjyU/y/evY1WSjYPT6xTg+dqKc91T/Qx+AylLObrsNyvVG9yeXFsnnpguF5e03QPjpHqF0IJlP49SEIgiAIgqD/I//1LoB6I5BIinSLMEw/l3YYvvdzRcrltZNoAg64fkRxsdYAvVebNz+IZL0jzI7txI9HWB9EUqXR5DwOJPPFG80CoP8jyB39H8w/V6l6whH9tp0+NdNNpXf00K4hGnQx2aJxx+O7aaK+cv1s0WKDl5PP+WCIxlDMWA495TtnAEUQBEEQBEHQ/5GfQKleNzv3qXJF7/A3Y++mMihyhdHqiGbzlcZ1A4BBMIhCYvHk/JZ1dFIFik6uLwgnf0hlvGTxBZqFtT3XcTSRK1evmVcM/R9B7uL/0NGimZztyDeuNzan59ry83U1N/x/lMhn1zYOg2HomDda+S/W6p5w9It08nH7aV/zxfAoiOUKVfz6EARBEARB0P+RX4TTVGZ61fya21b6+ymNzVDObB96suWbbdov1uuhZNq06+LN6l6xBR0BxkRdAAaXKlfMmNadx0FQl+tkBUP/R5Db+X+53siVK6fJ9JJ1hzY1/Yol6Nif/2BwtHeY+UEoM9p2T2LJ3E12/bTOH0qk5IvG3hFW2zYiKkO2aHCHwqU67vxHEARBEARB/0d+pV0ADo9fMKvrI6lFa9O+YHbOexq9ad7+SuMMnGTX6x9fWn7FFnS1bzBuJRh7zRVzVFqjzdGqNVBF/0eQn+3/1bOv8VzB7vHKFo3vBbKHw4yOztjV3JgzJJtc23Ul8sXyzbP0Qf9d2ra/YArI8g+nfcsf2/H6bzp7iCAIgiAIgqD/I/846UJp03U4PK54SKW3rdXTuQqjKZBIlm+4iAfiUajWT2KJ+U0r2AV5c8G3AuPNNOOSuaW1PddJPAnHo/8jyM/y/2ShYDn0TBlWKbKpjsj885X/jyIZHODw+uDkt4jSj+cKy7a9j0JZm/wPjj6iMpftu8l8sXrbkp8IgiAIgiAI+j/yDxJJZw22nY9iWTeFRh7K93OEcxvb4WS6fPM4XmL5MV/ccB2KdItg7w/bA4/PHeajWC5bNLaSAoCHoP8jyK39v1SvR7P5Xe/x9Oo6mD85qIfcr/voXN6MbmVnL5hI3s7Sc5XqqsM1LFd1rPz3MbgCzUKqUMS0fwiCIAiCIOj/yC8KaEMgkZxeNb9iCx60lQOkD8uVqzvOaDNQ/8abCxpnmWL5IBDSmDfpk9NEUkBSloGWivRQGfD7IdnkhGHFcnB0EkukCyWi/NjfWoL+jyBX+3/17H+5cjWYTO14/fNbVpZS84zJe0ildxbj/DLyaIT5TiCV6Y2uk+sm4Oic12tuGrJ7fEyl+skom3x+uDyWSu30B4hNPbj4jyAIgiAIgv6P/LIUqjVPOMJXzz2lsR8MfdOGJ6MszrR203UYz99mTQ80IF+pBROprX23WLf4hi/pHWZ2aMmDIVqrOgBVrlQaTfBe/mgc5KRYI2YBIuks+j+C/n/R/7Xrlmgmly1Xoumsw+ufNW0wlOrXPDH02Uvzbrxk8kcmVWrzZiCezF67AEfnXGGtcRJL8Ga0Lxj8tpx/FMbo5LRpx4nb/hEEQRAEQdD/kV8dMO1ird5KBEDesU/kAmRwebM665EPRva3q+ZVbpylCyVPKKJe2xyUToLGdA/RLipKD5Xxii2gyKckc3qD1dEqExhMpOY3rW8FEvR/BP2f3FmaFftCdo9Xubw2Mq4c4Iqg5/7fhSR/RPVNCuODSDplMFndvtNU5nbmXyXkvx5J52QLBngmPBhq2yv0Xiib37LFcnlc+UcQBEEQBEH/R34PUoXiktU+JJvs2K7/lM5lqtQ7Hl+2Ur3d+B5eBdYRSWcthx7lspkqm3oyeklasmY4wOiTUfZ7gZQ7rdOYNxctVvCNfrYA/R9B/ydHzQxJp7gzOop86jmLfzHFZovuIdoLpmBiacWyfxRMpIo3D/gnz+L5o3HF8lofndvxdn0MrnbDEkym8JtCEARBEARB/0d+J8LJ9Nym9ZNETi4V3kzrzWApNQ7vcbpYrtxhiY9YQkxltt0e5fIaCMzTUfaD76hLM/SA91Eoe8uX9I4w0f8R9P8Ot+8epF3ad1oBAm8FEr5at7htDyXTpZuX9+uQf3coPGVYhd53MYsn9OVAIlnBlX8EQRAEQRD0f+T3Agb6oNazaxvvhbJuCp1cMOzJKFuoXdjx+FKF4l3G+uX6Wa5SPU1l1nZdYPKD0onnTB75vchv2kOhE5sFSHMEcLBYp/eeRvHLQv4g/9d2+v93wmdovcOsz5JxgWZuwWLbPwlmypVSvVG9w7tDZz8MnY7rl/s5ogft1f7gmcBSqU9iiUK1XsVvCkEQBEEQBP0f+R1l4ygUUS6bB7gisnvDDy9ZAun8kt3jS+YLlbuV+CrXG6l8Ed5o2bY7Nrc0JJuEkz+iMr4XyXzOMyaPr5mHF+I3hfw5XVKgmX9K517RL7op9D46951AylSqDbadw2A4ls3DC++4IR/66Uk8KVtcfssf65ikg+thKGccXn+xVsdt/wiCIAiCIOj/yG/rG5Wa7zQGWv6iWbTv3MkfDNH62UKxbtF25AN7v3vEb6lej+cK3tPo1r57Ymnlk2S8j8F7SGV0rPmTeTLKZihnDwIh/JqQP4QC4f9zTy6s/3f9XUTz8Sj7DX+MO6Nd3LYR5p/LQ8+645uC0sP7nqYycr2xnyNq2xD0ZeTxCIuhVEO3zVWq+AUhCIIgCIKg/yO/+UaAeuMwFBbpFp8z+ORc3/DzMwYPDHxtz5XMF39K0G/l7Gu+WgskkpZDj9q8yVRp+tmCnst2BAC9w8yRCZXzOIDfEfLn+L9QM993wf8fDI4+HWUPy5XKFbPZue8OncbzhZ8YdOAOhUH++9qz/bfel63Sbu0fpUtl/HYQBEEQBEHQ/5F7MgVwEAjLFgwDHGE3pa3c10Mq/cvYhN66E0rcNbVYxzvGc4X9QGjV4ZwymBiK2dc88SNSPcK/1//VcGH4BSF/Vvw/Of//4Og7gVSoW1zcsjo8/mg2d/cFfzKJfGFr/5Cv1j0eYXVEHMBb82Z0Ox5/pojyjyAIgiAIgv6P3BeaAcD1/ZPQuH4ZPJy8+7ermX78k1iuXd86Cp3mf1IMMLwjUKo34H2jmdyu91i9tjksV4Lzfys2Rufy1XPwpvgFIX+O/3fk/4fOKJ1fcp0Ec5Vqud6oNDvOz+qD4WTaYN0ZnVQ+GmF2tUccPKIyaJOqPX8gXSjhnn8EQRAEQRD0f+S+TQGkiyXncfB8CoC8FP+QyvgokiuNJmfTB+6YEbDtfZuxALly9SgUmVklMhGS6/+JtYveU6z/h/y5/t9DYajXNiLp7M/Nul+s1UH+dRuWwbGJxyNtcTcPBkf7GNyRCeX2oSddLJd/XmdHEARBEARB0P+RX2gKIFuuuEOnE0srr3liEI+O6t9v+BKRbtFycBTPF0Daf+67g+EsbFnfCcbI/i/R6X0R9H/kj/Z/3bol8fN2+0PPzZTK3tOYxrwJPfohldFRVvA5k8eZ0Wzuu0H+ceX//9u7D68ozoWBw//up2BPNcmNKVKEXXrvXQGlqggqAopiA5Eq0mHZXVjw/gffoN/nxXpNYot5znlOjlFkcWdnzvxm3nlfAAD9z5csmkiMP5qvP98bpHjyi22Q9HRGwPSqhs7B6zNLy+/3EsCj5RX9j/7/oP0f9PzC+vq1O/eLWtr2jrXZ+9BNxbnO4QfjK9G4zQEAoP/5RwwEmF5Y6rw2lFHdsPeB/GczAu5PyfxXUXl15/mh0bGF97E0oP6Hj9D/8e2dkYdTjT29KRU1h9LDLy8xeDLjh7ySlt6rD2bnNt736B4AAPQ/n7XHa+uXR+4WNp/7Kiv/dfcJc8N1Te39A6Mzj9bjW/ofPtv+f7bcxrU793MbW77OLtj7tP//zfaXnnWiuKJjYGh+bd0D/wAA+p9/4IMA24/X1odGH5Se7TieW/TqswCHM7J/Ka6o6jw/eH9sbnk1srn1V54W1v/w3vs/+rT8707NdA5cT6moCb7z/pTMFx74P5kR7GiZtY1tVwcX1zdiiW3P/AMA6H/+iWLbO8sb0TtTM9Wd538uKj+SkbP/xTuHQZx8l1OYVXe6o3/w3vRMUCnRROLP9YP+h/fY//GdJyux+MT8Ys+NkeKW9p8Lyw+mh/e9sv8ezy0uaj7XN3JnbmVN+QMA6H/+0YIk2NhKjD96HMR5Rk3Dsczcly4B7Hu6VHhQF8WtbReu3wx6I7KV+BNrlel/eF/9H9veWYnGr90bLT/b9XtZ9dFQ7r5XdttgR/65qKK59+rtieml9Q1vPgCA/of/uwowvxYZvD9W23kxSP2XngV45tCprBPFu1cBem6MzCwuR//gVQD9D3+9/5/tqtfHHtRf6E2prD2UnvXq0/7P5u/Iqj9z9c79udX1mNn+AAD0P7wkspWYXFi8MHQzXNt0LJS3/5Wu2BfkSlr4RFFFTeeFyyN3xmbnliMb71gX+h/+Sv8HO1qwe167N3r60uVT1Q2HM7Jfzf7A4VPZv5dV1Z3vHZmYihvwDwCg/+FNtxajW9tLkWj/3dHSs52/lFQcy8xNenE6sd2pAVNDX4XzU8pryts6zw8NjzycmltZi2z+l3kB9D/8if4Psj/402A3Gbw/Vt/dk1pZ91124auP+u9em0sN/VRYWnCm9cLQzamFpY2thDccAED/w3+5CrCyEbs7Nd3eP5DT2PJjQemrY4yD/z2YFv4mXHCiuCL/dEvntaHbE9OzSyvLG7HoG6pD/8O79398e2d9MzG3sjY6M9czfKuq43xqRc13OYWHTmW9dEkuKP8DqeGvs/J/L69u7r1y6+Hk47WIMf8AAPof3tXGVmJueXX4wURL39XUytojGTnJqaFXnwgIUiT4o58Ly3MbW0739A3cG51eWFqLb0a3Ei+tNKb/P5/rO7HtnWDrBNtoY2s7srn732giEfxvNLFtxPgn7P/Np9kfbJpg71uMbNybnjl7+VrBmXO/l1V9k1WYlJr56mj//SmZh9Kzgt2q7Fxn/93R6cXl4CU2vdUAAPof/qggReZWVgfvj9V19Zwsrz58Knv/6yYb+5+n8wJ8l12YVlFX3NLW3Hu1/8798UePVzaiQc/o/89H/OngjtHZuaHRB723bncP3mjvH+wcuH5p+Hb/7fu3J6bnVtfj208sFPfx+z+I9uhWYmJ+Idg0wUap6jyf1XDmeF7xgfTwa/e4Z34Kyv9s56XhkWA/cs8fAAD9z1++CrC9M7u0cvnWnZqui0HhHwvl7XvDVYD/ebrqWPAFJ8trilramnr6em7cuvlwcmZpOeiTs1eu6f9Pk/27y8XFxmYfB83feLG3sPlselX9ieKKH/JLvskqOJ5b9HNhebDJguAMNvH5weHdMeTmjf84/Z8Wrum6MHR/rP/u6NkrA8EekVZV/11OUVJq6C3ZfyAt/GN+abCLBfvXw8cLEY/6AwCg/3mPAbkW25ycX7w8creq4/ypqvrjucUH08KvvRCw/2RGUlroYHr4aCj3X0XlOY3NQXM2914pPHM2qE39/5GtxeKjs3M9wyPlbV1B8x/OyAnqMcjL3Qc6UjKDjRX8Nymw+zvhQ6eyvs8rzm1sOXdlYOTh1B9dl54/2v/Bm59SURO84SnlNUdDec82TbA5XrtnBb//bXb+s4trwQZ6MPt4NRaPbe8Y8A8AgP7nfdpdHSCRWIpsTC0s9d+5X3/+Uriu6V+F5cdCeclvuFcZNExyWvhoZs53OYVBVX6dlZ+cFtrT//klrR1js3Pe2w+0veI7T5Y3osMPHlZ3XUipqP06qyAo/LeM3Xi2yYLIDAL158LygjNne4Zvza9HXprKgffY//t+P3XoVFawj7w6pf/e7D+UnvVdTkFqZW1VR/elm7fuzzx6vLa+sbWt/AEA0P98yLEAQVVGY5PzCzfGxtuuDuY3tf6QX3L4VHZyWtb+N9y3fNY5+57m5fPf+Sorv6ilbXRG/3/AMf/BNso73fJ9XlFQ/m/J/tc0Z2rm0VDeqer67qHhR8urMSPMP0z/v11y2u6IjO+yC9Iq6mq7Lg6Njj2cm19Yj0S3PJoBAID+5+MOB5hfi9ybnr0wdLOirStIlG927zCH3rFtjmTmZDe03J2a9mZ+iK2zvBEduv8gu775cMYbZ238rw6khU5W1LRfG5pZWjEE4K+LBP1/5uyRjJz/+s7vO5lxIC38W1lVaWt7e//g9bEHkwuLuwMxvI0AAOh/Pu1dzSBOgkTpHrxe192T09B8oqjiaGbO/pTMtxTOoVPZp6obbo1PegPfc/w/+fdyNHbt3lhuY2vQkH+u/PcMBAj9UlLZfm1odmnFe/vX+7/wzBvv/wfNfzA9/GNBSUZNQ/m5rtbL167dHX26jkbMWwcAgP7ncwnO+M6TZ+uWz69Fbk9Mdw8O13ZdzDvdklJRczyv5GhmTlLqy48GHMnICdU2jUxMeQPf++WYWw+nilvbj4Xz9/3ZO/97BVGaVll/4frN5agQ/aubprC57Whm3kv3+b/JKviluDJc31TV2d15bfD62PjUwlJkcyua2A72LPf8AQDQ/3yOYts76/HNpfWNmaWVu1MzfSN3Tl+6XNRyLq2y7rucwr3z/x0L5eafbrk7PeNNe78j/2cWV5ou9v2roPzt4y/eXdCoX4XzC5rP3XroYs1f7f+X5/8/mRGUf0Vbd8e1oZvjE7PLK8G+szur/1bCAxcAAOh//h7i208iW4mlSHR6cXlsdu7yyJ2S1vavX1z/r7i13fx/79fGVuL66IP0qvpD6VnvJf6fPwXwU2FZS9/VYJu6Hf0e+z94Yyvbu29PTM+trq3FNzU/AAD6n7+9maXl1sv9P+aX7O3/0taOB48ee3Peo7mVtcaLvd/lFL7H+H/+FEB2Q/PDuflowuTz763/k1PDrX39C+sRbw4AAPqfL8Sj5ZW2qwP/KizT/x/UvemZkxU1h05lvff+T0rJ/KmgrHvwRhCx3mf9DwCA/gf9/wkH/29fHrl7NJS7/31M+/eaJRszckrPdixHot5q/Q8AgP4H/f9pxLd35tcirZf7k9PC+z5M/+9PyTxVXT+9sBTb8giA/gcAQP+D/v8UYontifnFqs7zSamhDxH/z/xaWnV3amY97hEA/Q8AgP4H/f8pRLcS96dnC5vPJb2nZf9e6+fCiqHR8eWNmDdc/wMAoP9B/3+K/k8kbk9MZ9Wf/qD9/2NBad/IHb2q/wEA0P+g/z+Nja3ErfHJcN3pDzT53/P+vzQ8olf1PwAA+h/0/ye7/393ajq3seWD3v//qbCs/879pciGN1z/AwCg/0H/f4r+30qMzc4Fb+n+D9n/J4rKh8fGV2Nxb7j+BwBA/4P+/yT3/7enF5bruns+3P3/fb+f+r2senTmUWTT/P/6HwAA/Q/6/1OI7zxZjsY6B64HSbnvA0wBEHzP5LRwVv3puZW1+PaON1z/AwCg/0H/fwKbO09i2zvXx8aP5xYlpYU+RP8Hm6zxQu9qbNO7rf8BAND/oP8/pfG5+fymlqOZOe+9/5NSMn8vrx68P7axlfA+638AAPQ/6P9PaXF9o+PaUPA+J6W+z1kA9qdkHgvllpxtf7yyavC//gcAQP/zNhtb28vR2NL6RlBoS5Fdy5Ho8kZ0JRpbjcUjm4noViKa2A7ianPnif7nz4kltu9MzuQ2thwN5b3HWQAOpoVPlld3Dw4H3/+L/Hzq/w8hOJoFx7SNrURkc2stvrkSjQdHvOC4t3sADI6EkcjuYTAaC75g08cDAED/f2FV1t4/WNPdU9HeXd11oe78paaLfc2XrnZcG+y7dXt47OHo9KPZpZXVWDyu//kLgrIKQv1kec37Wghwf0rGt9kFNV0XJuYXvb36/92txTYfLa2OzcwNP5i4PHKn49pQS+/Vpp6+4OgXfJwq27urOi+cvTJwa3wyOEL6eAAA6P8vxL3pmfK2ruN5JUlp4f85mZGUknkwLXzkVPZX4fzjuUW/lFRm1DTkN7UEX9N4sbdz4PrAvQejM3OPV9d374x9EZcD9P9HE01sTy0stfT1nyiqeC9r/gWf0pLWjiDSokb+6///8tlLzK9Fgp36+tiD7sHhIPWDY1rB6dbM2sZfS6uO5xYHe/2RjOwDaeHgGBh8tJJSQ99mFRaeOXt/+pGPBwCA/v9CtF6+9lNh2auzsu87mbHv6X/3p2Tuf3pdIDktHORWSkVtUUvb6Z7Ll27eDrprdmklspn4W48L0P8f92GTxMO5+ebeK8fzS/7KUwDBh/NYKK+w+dyN0fG1uGn/9f9rbO48iWwl5lZWb09O9966HXzqSlra06vqv8rKT04LBUe2pKcHt33PPD3cvXQM/D6nsPVyv48HAID+/0Kc7un7Pq/4XaZke3Yt4GB6OIiEb7MLfi4sz64/09x7deDeWJDKj9cikb/n7Ov6/yMnWZDr96cfNVzoPZ5fciAt/CdW+wuyLdhGhc1tg/fHgkCNe+xf/790t39rO/jJH87NXx8bb7sykNvYcqKo4pusgmOh3EPpWfuf3uF/lw/bt1kFjT29Ph4AAPr/C3HxxkhqZe2RjJzdc+J3vh/7rMGOZGT/kF+SVllffq7r/NDN0ZlHS+sbG1t/s+EA+v/jXwJYj2+Nzsw19fT9Wlp5NJyXlBp699n+D5/KPp5XHMT/zfHJ4PMWM/Jf/+/5aEW3Eisb0fG5+Z4btyrbu9Or6n8uLDuakZP0B6ecCD5pwTtwoqii58aIjwcAgP7/QkwtLJ65dPn3supjobzk1N0xsc8uBOx7cVjsWy4NBCfWx8J5QcgVtZzrGrwx8XhhLb75N7oEoP8/zR3aRGJyfuHC0M0gO4/nlTy7Jfv2K1BPl/rLO1Xd0Nx75c7kdGRzy4T/+v+F0f6biZnF5Z7rt0pa20+WVX+dlf/27P+/49v/H+L+73Gnp88FHM7IPlFcUdN9cWphyccDAED/fyHi2zuTCwv9d+53DlxvvXwtKKvGi7113T2V7d1FLW3h+tOpFTU/FZQey8z9L2fSv59KSgv9VFhW3NreNXBjdGZuLb75t8gz/f/pPntPljdi96Zngg9MeVtXWmXtt1kFya+MBQh67Ghmzi8llYVnzjb3Xh0afTC3sqb89f+LA/4T43PzF67fKjvb+UtxRXJa+O0j/IOj2dGMnB/zS0+WV4drm4J/e3DEC457wdHvzKXLwT+8vX/w6u17wfeMG2ACAKD/v8yB2U/+HdveWd9MLEdj82uRifnF2xPT/Xfvdw/eON3TF5xYh+tO/1Za9U1W4YHU8Jtu1e4/mfFDfklRa3vPjZHgO2xsfe6rsuv/z+C27dbM0vK1u6NnL1+r7jxf3NKWf7o1p7E5r6mlqKWtvK2zqaev9+btB7OPV6JxPab/9woOWcGH5/LInWCf/amg7G0jlVJDx8L5J4orwnVNJa0dTRf7ugZuXL1zf2RieuLxwuPV9eVoPPgoWvAPAED//4MuAQQ9Ft95EpxVx7a2I5uJtfjmSjS2GIlMLy6PPJy6MHSztqsnq+HMr6VV3+UUvvY+W3Jq5tFQXvAF9ed7bz2cXFhfj37Gp9T6/3O4BBBEV/BJW45E59cjM4tLwZt/b2Z2dObR5MLi3OraUmRjNRaPJhJB/Lvzr/+fj11a3ojenZk9c+nyb6VVR0O5r04ksTtTSWrmt9kFv5RUhOtPV3Wc7xq4fmt8cnpxKfinBUe24FMXHOWCY11wxPPpAgDQ//xnaEBwrjy/FgmS7NmFgOBkOqWiNji3PnQqe/+LTwcEp90H0sLf5xQVnjnbe+v2zOJycJL9eZ5b6//PsOuC1A8+MBtBlSW2Te+v/18z4D+ReLS82n/3fvHZjuN5uwtJvHTn/9liJd9kFfxaWlnR3n1+aPjm+OTE/ML82npwHDNtJACA/ucPnHwHYfDg0fzVO/frui+lVdZ/Hc5PTnvNQwHHMnMzqhvOXRkIcjpojE39D/r/rx5/ticWFjquDYXqGo+F81467AT/m5wa+iqUm1pRU9N14erI3WBfnl/f2Ehsu70PAKD/+Qsn4lu7E24P3Bs7c+lKVv2ZY6G8Vx8HOJAWDuq6or37+tj4aiyu/0H//xU3xyerOs+fKKpISgu9OhFpcMAJ1TaevtTXf+f+5PyC5/kBAPQ/71Nwhr24vnFrfLLhQu/JsuqgIva/ckfuSEZOqK4pOCMPvvKzmsJN/8Pfov83d56sxuK3Hk6G65qOZOa8OsPf4VPZvxZXVHWcHx57uLgeMcgfAED/80HOy+M7Tza2tudWVntv3S5ubT9RVHEoPWvvuNzdGQFSd+/LXbp5e3Zp5fO5Kaf/4fPv/+Ag83htvf/O/ayGMwdSQy+N+U9OC/9YWFZ45tyFoeHHK2sbW4ngiLRpywIA6H8+4ECA7Z2lyMadyZnmvv70qoZXBwIcycgJ1zV1Dw1PLSx9JpcA9D985v0fxP/c6vql4ZFww+mjL97533cy41B61u/l1c29V0YeTi08ve2v/AEA9D8fryUmFxYv3bwdrj9zNJS7PyVz78264PQ9s6axY2Do0dLK5zC1u/6Hz7z/V6Lx84PDmbWNe3/C3Un+g/g/lZVeVd9z49bE/OLuDKNm+AMA0P987IEAie3ljejw2MOi1rbvcgqTXlwd8HBGdmpFXffg8OL6hv4H/f/2m/89N0bSKmoPpme99MD/V1kFeU0tg/fHVjaicU/7AwDofz7t4wD3pmfruntOFFcEObH3xP1gWvj3supLN0eW1jc+7SgA/Q+fbf8HP9jNsYe/FFccTA+/NM//TwWl1V0Xbk9Ou+cPAKD/+VwuAYzPzbdevpZaUbP39l1w+p6UGsqoafjkKwLof/g8+381Gr81PhmqbUxOfWGdv6SUzF+KK1p6rwTHFsv7AQDofz4jG4nticcLHQNDqZW1B9LCLy0KWHK2/eaDiZVo/FPdxNP/8Bn2/8ZW4vbkdEVb15GM7H0v3vk/UVje3j/4cG4+srll2wEA6H8+s0sAW9uTC4tt/QM/F5Ynv7h21/Hcovrzl8Zm5zY+0X08/Q+fW/9v7jyZXFg4c6nvu5zCF+78p4aOZea2XR0MjifRLXf+AQD0P5/ngwCJ7dnl1dqui0Hw750OcP/JzF9Lq85dGZhbXdP/oP8Dkc1Ex8DQ72VV+15cQDTYN8taO+ZW1gz7BwDQ/3zugqiu7rpwPK947wO9B9Oz0irqeoZvrWzE9D/o/6u376VW1ienvTDn37fZBaVngx1z3vYCAND/fCTxnSdr8c251bWZxZXZpZW5lbUgElai8Wgi8S7P8N+bma3s6P4up2B/yn/u7B3NzAnVNt2emI4ltj/yRAD6Hz6f/o9v7wSHlPSq+sOnsvfGf3CICPbKu1PvNNt/bGt7ORoLfvjgWwXHqOmFpeAXa7FNKwUAAOh//tjZeRDMg/cftF8dOHPpSnPv1XNXB7sGb/TeujM0+uDu1MzDufnZ5ZXF9Y31+FZ8+zVn22vxzaHRsfymlmN7YiMpJTOo7ua+q3Mrq3H9D//I/t988u/VWLytf/CrrPz9e0b+J6eGwvWn++/cX3/DhH+Rza2lyMaj5dWJxwv3pmdvjI33jdzpGrhx7upAS19/Y0/f2SsD1+6OTi8ux10CAADQ/7yjlWjswtBwdsOZnwvLf8gv+bGg9KfCshNFFb+WVqVW1IbrTpef62zuvdp36/adyenZpZXlaGxjK7H3nHtz58nc6vqlGyMp5TVJe54CSEoLpVbVD94fW4t/1Nt0+h8+k/6PbCXG5+Z/K6tOenHkf3CcuXD95tzq2t4jQ3x7J5pIBEeYx6vr96ZmLo/cbe27Vt7WmVV3Oq2i9rfSqhNF5cHRKfi7x/NKgl+Eahvbrg6uxOJGAQAA6H/eyejMo6KWtr2d8NK63MdCucEJd2pFbW5jS23Xxd5btx/OLSxvxKKJ7c09o3OnFpdO707uXbB3OcDDGdkNF3on5z/qzN76Hz6T/p9dXjl7ZeClx/6DI8PpnsvBEeP5eKIg4HefQorFJ+YX++/crzvfm9fUklZRF+zFx8J5wVFo3+uOTgfTw6HaxvG5+deOSwIAQP/zsoH7Y6eqGw68eIL+WsFZ+5GMnN9Kq0paO9quDg6PPZxfj8S2d559n43dG32Psxuag2+192T919KqnuGRpUj0o92j0//wOfR/ZCtx7d7YieKKvYeR5NTQL8UVkwuLG3uuCS5HNm6NT7ZfHShr7UitqA2OM/v3LCnyFieKy4fHxuP/fxQCAED/8zb3pmcLm88ezczZ9w5n2/+/wl9GUNSZtY2nL10OztqDoni2dlfw3wvXbwan+3ufAkhOyypp7bg/PRtNJPQ//HP6/+Hjhdqui/tevIb4XU5h1+CN2Fbi2YD/5Uj07tRM8IOFapu+CRe8+1Ho2b8oo6bhwdxjUwAAAOh/3snKRuz80HC4/vTPheXHc4u+ySoIavlYKPdgWnh/SuZLi3XvfS7gQFr4WCgvp765e/DG6Ozcyu4TATszi8uV7d3BN9k719fvZdWdg9c/Wnjof/jk/R9LbF+8cev38uq9x43gwJLT2DK3svvY/0osPj4333P91u7UoaG8A08POG++5rh7wDmamfN1dsG32QXf5RT+WFCaYSc/zgAAGKRJREFUWdt47srAquf/AQD0P+8ovvNkZmll4P6DtquDdecvVXZ0l53tLDjdmlHT8GtJ5Q95JV9l5R9Mz0pODb16ay74nWOZub+WVlZ1nB+4N/Z4dX0tvtl76/ap6vpD6Vn/OekP55W0tI/NzsU+yjBd/Q+fvP8fLa+Wt3XuXfNv38mMk+U1F27ciiW2lzei1x+M13b2/FZadSyU+9rrjEkpmYdOZQXHn+9zi38prjxVVZ/X1FJ6trOyvbu2q6el72r/0/n/xT8AgP7nj1wC2H6yEo3tLrU1vxhE8ujMozuT08NjD/vv3O+4NlTe1pVeVX88tyg4lU9+3T265NTQ97lFwan5pZsj82uRh3Pzdd0932YXPD+nD/5KSnlN8KcrG1H9D/+E/r86cjetom7vgSKI+bKzHVMLSxtbicsjdwvOnD2eW7z3WaHnVxWD3zyQFv4+pzCtorb0bEfblYHgWBQckW5PTN+fnh2bnXs4tzCztLwcjXnyHwBA//PehgYsR6JBNg/ef9A5eD2o+nD96a9fHNv//JT9cEZOcLrfNXhjcn4xSP20yvq9cwp+l11Q0dY1ubCo/+GL7/8gy0ta278O5+89SvxeVtU9eGN+LdJ363ZqRd2RjJzXzi1y+FR2qK6ppvtix7Wha/fGgtpfWt/whD8AgP7n44klthcikZGHU829V0K1Tcdzi5JfvXF3MuPnwvLgCy5ev1nZ0fVtdsHe9vittOrG6Hg08cEXAtT/8An7f3PnyfTi8omi8qQ9Y4WSUkNVnef7Ru4E+2ZwlHh1GFFQ/t9kFWTUNNadvzT8YCL4OT/moqEAAOh/Xjinj+88iSW2F9c3grPz05cuh2sbv88pTE7NfOmR3R/ySwqbz1a0df1UWPZ8pMC+pxHe3j+4FNnQ//AF939sK9E9cOObrMK9M4Z8nV1Q0d5V3t51PLfo1TH/wRenV9XXX+i9PjYeHGGC8g+ONpu2IwCA/ucTDwTY3lmNxacWlgbvP6jtvvhzYfmB1NDe6buCk/vjecW/lVa9dKJ/OCO7qKVtfG7+Qz+yq//hU/V/EO3r8a3cxpZDe2b+CwT746+lld/nFb80big4RHybXVDZ3j14b2xqcWn3kX5D/QEA9D+fladTBu4u39XU0/dLScWhU1kvXAJICx8+lR14aQDwz0Xl18fGY/ofvtD+D/buuZX1b7IKkl4c4f9VKPdQetbeYf/BEeNAWuingtKarotjs3MrJvMDAND/fOYm5hfarg6mV9UfOZW975VJAfdeFAh+fTA96/zQ8Hp884Mu2aX/4VP1/1p88/bE9P6TGfteebz/pd9JSg2frKhp6eufeLxgewEA6H/+Hh6vrl++dbew+VyQ2a9dx3uvhgu9s8srscQHvNGn/+FT9f+jlbVzVwbefhB4thZgTkPzpVu3H6+tbxrwDwCg//kbWYnGbj2cKmntOBbKe/t5f/7p1tsT05HNhP6HL6z/g5Ifn5vPbWx5yxFg38mMpJTMvNMtN8cnVmOb4h8AQP/zNxPb3lmKbNx4MB6uazqUnvWWUQC/l1VfHrmzEo3rf/jC+j++82RkYurH/JK39H9yatYvRRXDDyaWN6Km+gMA0P/8fS8BRLsGbvxeWnUwPWvfG87+vwkXtF0dXFr/gKsA6n/4JP0f2Ur0371/IC38pvhPSs38Ib+0/erA8obZ/gAA9D9/Z5s7T2aXVhov9v5UWPbqEt/PJ/1quND7ePUDPvSr/+GT9H/wzbsGbrzl5v/3eUWVHecfLa8a9g8AoP/5EozNzlV1nv/2zXMBVrR1TSwsfbhVAKcXl1r6+n8sKNX/6P+9/d/ce2VuZe3DXf6bnF9svNj7pvgPfpiS1o7R2TnxDwCg//lyHgQYGn2Q1dB8+FT2m6cAnIpsbr3f9tjYSjxeXb83PXt+aDivqeWrcL7+R///Z+hNSmZOQ/P5weG7U9OPllejicT77fDgu92bmik92/mm/g/VNvXfub9p6wAA6H++nKcAnvx7ZnH53NXBfxWV70/JfG0GDNwbW4nG3ktyRDa3Hq+tj8/ND4+Nt/cPFJ45e6Ko4mhmzt6X1v/o/32/nzqSkf2vwvKchuaWvv4bYw+DvWZudW0t/n6uxAU74/WnF/5eG/9HMnLOXr72aHnVpgEA0P98UYImvz0xndvUfOhU1qslkFpZd2l4ZCny56cAjG/vRLYSy9HY3PLayMPpzoHrFe3dGTWNQdscDeUlp4VfevRA/6P//38CjlDwmz8VlKVV1Zed6+q4NjT8YCLI8pWN6MZW4q/Mybf55N+XR+6cLK95083/4IWiiYRNAwCg//myhgDsPJlbXesYuP5DwWtWAvu1tLJr4Pqfm4cs6JNYYnspEg1i/srI3YYLvTkNzb+UVH6dVfimGQf1P/r/VftOZnwVzj9RXJlVf6am62Lfrdtjs3NLkY3Y06sAf2KUfvBXLl6/uXfezf9MPZCS2T04HBwTbBcAAP3PF2hjK/Hw8UJWw5mkV+7G/1xUfu7KwOPV9T9W/jtPVqLx8UfzV+/ca+m7WtLakVJRcyyU+6ZZBvU/+v8t/b/3QsDB9Kzfy6qLWtuae6/0jdy5Nz27Ft/8EzN0dg3eOJ5b9PKIg5TMnwvLJxcWY4lt2wUAQP/zZQoSoqmn75uswpdmAfixoLS59+qjd5uHPGiGxfWNh3MLQ6MPOgauF7e2nyiqOHwq+7UzC+h/+KP9v/dCwKH0rGD3zD/d2nFtaHB0LNhlFtYj0Xfu9vb+wa+y8l/6tsHeWtfdsxrbtFEAAPQ/X/IQgP7b906W1yS92OrH84pP9/S9fSawIPuXI9GpxcXhBxOdg9fLz3WnVNR9m10Y9ElSauZr7/nv213hLPRVOO/73OJvsgqTU8P6H/2/N++/ySr4Ib/km3BBUmro9TvRyYxgbz2YnnUslPdbWVXp2c6OgevBPjgxv7gU2fivSwa0Xr52OCPnpe8Z7JLXxx5E3fwHAND/fMFi2zsTjxdyG1v2pnjg+9yixou9r+3/2FZiZXdWv9V707N9I3fqz/eEapv+VVj+dbggaJLX3vMPiiU5LXQ0lPtdTuHJsuqg8+u7e/JPtwapo//R//95CD81lN/U2tx7pbK962R5zfHcomOh3GDf3PeG4QAH08PBjvNTYVl6VUN114VLwyPBXhnsm8uR6JsuBDT39h9IC780+P/H/JL5tUj8va41CACA/ufzEhTCamyzpuvCkcycvTcbv9+9/3/5ef8HXxbb3tnYSqzG4pMLC/237525dLngzNm0irrjeUUHXpk+4Ln9KZlBvQQNc6KoIq+p+fSlviu37t6bmh2ZmDrTe3nv1IP6H/0f7EpNF3tHpx+Nzc4N3Btr7rsS7GUniiuOZeYGfxTsTa+9EPBsWM13OYWpFbUFp1sbL/ZeHrk78XhxLbYZ7LPBnvv8QkDwi+beK0kvXuwLfoCs+qbYn5pQEAAA/c/fTMfA0E+FZXsn5/+lpLJ9YGh+7f/m/49sbk0vLg+PPdxdxq+tK72q/rvswuQ3Z/+ze/5BsRzPLc5qOFN/vrfnxq1bDycfLa88W10s+EXb1YG985Drf/R/cmq4ta//2bob8e2dudW1O5MzPcO3mi725Ta2HM8rPpgWevsEAcmpoW+zC1Mra8vOdrb3Dw7dH5taWAz23+f9f6b3yv4Xl+H4saDkzKXLm27+AwDof/4JBu6NhWqbDp3Kep4Ev5dVdw3emFpYml1auTk+2T04XN15PqO6IUiLt6zh93wusZ8KyzJrGyvauzv6B0ceTi2tb7w0Ubn+h7f3/96HdFZi8XvTM53Xhqrau7Pqmk4UVRx55Rn+Vx0N5aZV1ld2dncOXr8xNj69sPx0vs/LL/V/SmXt0P0HNgcAgP7nH+Hu9GxRS/veDvk+r6iktePc1cGGC73plfXfZBUcSAsnv2FCst1HiFMzg7/+Q35pakVtaWtn58D1Ww+n5taCjklEE9uv3lrU//CO/b/nAZztpUjk3tTM+cHhivauYF/7Mb8k+OtJb1ho49lMgclp4WPhvJPl1XXdPZdujuSdbn1pko5QbePk/KLNAQCg//lHmFxYrOq88FX4P6uCHUwLB81/PL9kdz7/U9lBRbxa/vuePt5/+FT29zmFv5dVF5zenbds4N7YxOOF+fXIs8XJ3zSoWP/Du/f/c/HtnfX41sL6+tTC0vWx8eCLC8+cO1lWfTy36EhGzv6U16+7sf9kxsH0rG+zC34uLA9285cmEchtbFla37A5AAD0P/8Ic6vrDRd6v35xVfAgJN60/FiQGQdSQ0czc47nFYdqGxsv9PXdun17YjpokpVoPP7iUH/9D++r//8zIuDJv9dim9MLy3enpq+M3G3uvZxVf/r73fUC8g6khd8yIuDV3yw8cza6lbA5AAD0P/8IS5GN5t4re1fje4v9u0uUF6ZX1Ze3dbX3D14ffTC9sLQe3/xDi4fpf/gr/b9XZCsxu7SyOz3n4PXKzvOnqhu+zyl6y9ycr/Z/LLFtcwAA6H/+EVZjm62X+7/NLnjrvOLh4AtSKmqKW9vPXhkY3J1XfCkIjz83bbj+h/fV/88FGT+7tHJ9bDzYuYK9Ka2y7rucwgNpYf0PAKD/4T8dEgRDkAqvWcMvNfx9TlFKRW1h89nm3ivX7o3NraxFt7bjO0/+ymrh+h/ee///36MBO0+iie2lyMbQ6Fhz79XC5nMpFTU/5Jckp4ffNP5f/wMA6H/+uf0fdMKRjOx/FZaHaxsbLvT23x0dn5t/vLq+Eo0HqbD5l19R/8MH6v+tp7MDxLd3VmPxhbXIw8cLA/fHWvquhuoaTxSV7305/Q8AoP/5x4m80v/JqaGTZTXnrgzcHJ+YmF9Y3ohG/+xQf/0PH7n/94omtpc3YjOLyyMTU92DN9Kr6vQ/AID+R///p/8PpGblN7WMzjyKvcNk/vofPtv+3/tcwMzictnZTv0PAKD/0f97+j8tXNTSNrmw+IFe8dX+/yaroKS1fWx2zuZA/3+gV1yORGs6L+h/AAD9j/7/eP0/t7LWcW1ob/9/lZVf1HJudOaRzcE/pf/jm/mnW49k5Ozd74I9Mah0/Q8AgP7nC+n/hbXIhaGbJ4rKn79iUEHZDc13p6ZtDv4hVqLxcF3T3vX5DqSFugZurG9u6X8AAPQ/X0j/r0RjV0bu/lZatbd8UsprhkYfSBH+CeLbO8H+dbKsOiklc+9VsEvDIx9uF9D/AAD6H/3/sft/I7E9/OBhWmX9/v+Pn/0nM77PLW7vH1yKbNgifNk2d55sbCUu3bz9Q37Jvj2Lbgb/23939MO9rv4HAND/6P+P3f/xnSdjs3OFzecOn8p+/qKHTmWF60+PTEzFt3fe41qD8LmJJnYeraxl1jbuffg/KSUzp6HlztSM/gcAQP/z5fT/1u4UgKvnrg7+mF/6/EX3n8w4lJ5V3XlhYn5xfXPLJQC+0Dv/21MLS+1XB/eO/A8cTA+39w8+Wl7V/wAA6H++qP5fi2+OPJzKajiTnBr6nxeHQNd19ww/eDi3sraxmXAVgC+m/GNbifm1SPCxP33p8o/5pfv2RPj+lMx/FZbdnZr+cJP/6X8AAP3P32jM8PZqLB70w9zy6qP3amJ+seFC3zdZBf9ZhzwtnF3fPDz28NH7fq3npheW7kxOl7R2HM3M2RtCSWmh43nFeU0tHdeGbk9MTy4sziwtzy6tfLifBD604AMcfODvT890D94obD4XfMKT90z7v7vHpYazG84EH/iZhaUP9zOMzswVt7S91P9Z9adnFpff4wvNrawGhynXFAAA9D9/Unx7JzilDoK87epgffeluq6e96iq83xaRd2h9Kw9dyNDPxaUFre0v98Xeklle3dqZd3hU9n7XgyS/SczjmXm/lpSmV3fXHa2s7rrQm3nxQ/6k8AHVdN5oaKtK7ep5bey6mPh/H0nM16K8KTU0Mny6or27g/6Y5S3dZ0ornjppYM9vbb7/e1f3T1NF3s7rg3NLq9EEwmHbgAA/c8fthKNDdwbK2w+91NB6VfhvCCP36OjmbkH0sJ7myT4dVJaOCjz9/tCL79uRs6h9KyklNBLQbL3x0hODx/JyAm+8oP+JPChP+oH08L/80r27/2oB7vb0cwP+zkPvn9y2su7W3JK5rHQ+zykfJ2V/3Nhecvl/kfLq57fAQDQ//xhDx/P13Zd/Cqc/6Z+APh8fJtdcHN8IpbYcfQGAND//DG7j8q3tB8L5eoK4POXnBYauv/AIwAAAPqfP2xyfqHhYu/xvOL9bx5CDPA5CA5TJ4rK70zOxLbd/wcA0P/88ef/r90bzWtqOZ5btPuwLsDn52go76tw3vc5hc29nv8HAND//CnBafTjtcj1sfH2/sGmnr76870An5vGi73NvZc7B65PLy5HthL6HwBA//PnrwJEE4mVjdhSJArwuVmORFdjcdkPAKD/AQAAAP0PAAAA6H8AAABA/wMAAAD6HwAAAPQ/AAAAoP8BAAAA/Q8AAADofwAAAED/AwAAAPofAAAA0P8AAACA/gcAAAD9DwAAAOh/AAAAQP8DAAAA+h8AAADQ/wAAAID+BwAAAPQ/AAAAoP8BAABA/wMAAAD6HwAAAND/AAAAgP4HAAAA9D8AAACg/wEAAAD9DwAAAOh/AAAA0P8AAACA/gcAAAD0PwAAAKD/AQAAAP0PAAAA6H8AAABA/wMAAAD6HwAAAPQ/AAAAoP8BAAAA/Q8AAADofwAAAED/AwAAAPofAAAA0P8AAACA/gcAAAD9DwAAAOh/AAAAQP8DAAAA+h8AAADQ/wAAAID+BwAAAPQ/AAAAoP8BAABA/wMAAAD6HwAAAND/AAAAgP4HAAAA9D8AAACg/wEAAAD9DwAAAOh/AAAA0P8AAACA/gcAAAD0PwAAAKD/AQAAAP0PAAAA6H8AAABA/wMAAAD6HwAAAPQ/AAAAoP8BAAAA/Q8AAADofwAAAED/AwAAAPofAAAA0P8AAACA/gcAAAD9DwAAAOh/AAAAQP8DAAAA+h8AAADQ/wAAAID+BwAAAPQ/AAAAoP8BAABA/wMAAAD6HwAAAND/AAAAgP4HAAAA9D8AAACg/wEAAAD9DwAAAOh/AAAA0P/eBQAAAND/AAAAgP4HAAAA9D8AAACg/wEAAAD9DwAAAOh/AAAAQP8DAACA/vcWAAAAgP4HAAAA9D8AAACg/wEAAAD9DwAAAOh/AAAAQP8DAAAA+h8AAADQ/wAAAKD/AQAAAP0PAAAA6H8AAABA/wMAAAD6HwAAAND/AAAAgP4HAAAA9D8AAADofwAAAED/AwAAAPofAAAA0P8AAACA/gcAAAD0PwAAAKD/AQAAAP0PAAAA+h8AAADQ/wAAAID+BwAAAPQ/AAAAoP8BAAAA/Q8AAADofwAAAED/AwAAgP4HAAAA9D8AAACg/wEAAAD9DwAAAOh/AAAAQP8DAAAA+h8AAADQ/wAAAKD/AQAAAP0PAAAA6H8AAABA/wMAAAD6HwAAAND/AAAAgP4HAAAA9D8AAADofwAAAED/AwAAAPofAAAA0P8AAACA/gcAAAD0PwAAAKD/AQAAAP0PAAAA+h8AAADQ/wAAAID+BwAAAPQ/AAAAoP8BAAAA/Q8AAADofwAAAED/AwAAgP4HAAAA9D8AAACg/wEAAAD9DwAAAOh/AAAAQP8DAAAA+h8AAADQ/wAAAKD/AQAAAP0PAAAA6H8AAABA/wMAAAD6HwAAAND/AAAAgP4HAAAA9D8AAADofwAAAED/AwAAAPofAAAA0P8AAACA/gcAAAD0PwAAAKD/AQAAAP0PAAAA+h8AAADQ/wAAAID+BwAAAPQ/AAAAoP8BAAAA/Q8AAADofwAAAED/AwAAgP4HAAAA9D8AAACg/wEAAAD9DwAAAOh/AAAAQP8DAAAA+h8AAADQ/wAAAKD/AQAAAP0PAAAA6H8AAABA/wMAAAD6HwAAAND/AAAAgP4HAAAA9D8AAADofwAAAED/AwAAAPofAAAA0P8AAACA/gcAAAD0PwAAAKD/AQAAAP0PAAAA+t+7AAAAAPofAAAA0P8AAACA/gcAAAD0PwAAAKD/AQAAAP0PAAAA6H8AAADQ/94CAAAA0P8AAACA/gcAAAD0PwAAAKD/AQAAAP0PAAAA6H8AAABA/wMAAAD6HwAAAPQ/AAAAoP8BAAAA/Q8AAADofwAAAED/AwAAAPofAAAA0P8AAACA/gcAAAD9DwAAAOh/AAAAQP8DAAAA+h8AAADQ/wAAAID+BwAAAPQ/AAAAoP8BAABA/wMAAAD6HwAAAND/AAAAgP4HAAAA9D8AAACg/wEAAAD9DwAAAOh/AAAA0P8AAACA/gcAAAD0PwAAAKD/AQAAAP0PAAAA6H8AAABA/wMAAAD6HwAAAPQ/AAAAoP8BAAAA/Q8AAADofwAAAED/AwAAAPofAAAA+AP+F+Tl95PVmEdlAAAAAElFTkSuQmCC"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![Footer.png](attachment:Footer.png)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
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