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ML/task14/[Research]_Linear_Models_regression_[2025_2026].ipynb
2025-11-12 11:34:34 +03:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "sTB50uLM0a9o"
},
"source": [
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\" width=\"50\"/>\n",
"\n",
"# Машинное обучение. ВМК МГУ"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "0xg3G6bd0a9s"
},
"source": [
"# Практическое задание 3: Линейные модели: регрессия\n",
"\n",
"## Уровень: <font color='MediumSeaGreen'>**Исследовательский (Research)**</font>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "6ODl7_-1JoHQ"
},
"source": [
"# О формате сдачи\n",
"\n",
"🔷 **<font color='plum'>При решении ноутбука используйте данный шаблон</font>**\n",
"\n",
" ✅ Можно добавлять новые ячейки любых типов\n",
" ❌ Не нужно удалять текстовые ячейки c разметкой частей ноутбука и формулировками заданий\n",
"\n",
"\n",
"🔷 **<font color='plum'>При оценивании задач учитывается код</font>**\n",
"\n",
" ✅ Задания, в которых необходим код, обычно помечаются фразами \"Your code here\"/\"Ваш код\" и аналогичными\n",
" ❌ Ответы на вопросы без сопутствующего кода оцениваются в 0 баллов\n",
" ❌ Наличе работоспособного кода в ноутбуке, если на сказано иного, обязательно\n",
"\n",
"🔷 **<font color='plum'>При оценивании задач учитываются выводы</font>**\n",
"\n",
" ✅ Задания, в которых необходимы выводы, обычно помечаются фразами Вывод\"/\"Ответ на вопрос\"/\"Ваш текст\" и аналогичными\n",
" ✅ Обычно выводы подразумевают под собой текстовый ответ (можно писать markdown, latex).\n",
" ✅ Сопутствующие изображения, графики, таблички - приветствуются!\n",
" ❌ При отсутствии выводов задание не засчитается на полный балл\n",
"\n",
"-----------\n",
"<font color=\"white\" style=\"opacity:0.2025\"></font>\n",
"\n",
"\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "H0Lj_c63lrku"
},
"source": [
"Цель данного задания:\n",
"\n",
"* Узнать, что такое переобучение и как с ним бороться в линейных моделях;\n",
"* Понять, чем отличаются разные регуляризаторы;\n",
"* Научиться решать задачу регрессии линейными моделями.\n",
"-------\n",
"<font color=DarkOrange>**Примерное время выполнения (execution time/время выполнения, если нажать run all) всех ячеек ноутбука при правильной реализации: 7 минут </font>**"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "d4sbAeC--5gV"
},
"source": [
"# Подготовка рабочей среды\n",
"\n",
"Сначала установим нужные нам версии библиотек. Мы гарантируем, что в данных версиях задание будет корректно отрабатывать.\n",
"\n",
"После установки нужных версий, **возможно,** нужно перезагрузить среду (runtime), но скорее всего вам это не понадобится\n",
"\n",
"\n",
"На скачивание файла и установку понадобится не более 5 минут.\n",
"\n",
"<font color='OrangeRed'>**Важно!**</font>\n",
"\n",
"Устанавливать нужные версии нужно каждый раз, когда создается новый рантайм. Например, если вы 2 часа подряд делаете это задание, то подготовить библиотеки достаточно 1 раз. Но если вы, например, начали в понедельник, затем закрыли/выключили ноутбук, то при продолжении в среду, вам нужно будет запустить рантайм заново и следовательно заново установить библиотеки.\n",
"\n",
"<font color='OrangeRed'>**Важно!**</font>\n",
"Если вы предпочитаете делать практические задания на своем личном ноутбуке, то проверьте, что вы установили рабочее окружение в [соответствии с гайдом](https://github.com/MSU-ML-COURSE/ML-COURSE-24-25/blob/main/tutorials/%D0%A2%D1%83%D1%82%D0%BE%D1%80%D0%B8%D0%B0%D0%BB%20%D0%BF%D0%BE%20%D1%83%D1%81%D1%82%D0%B0%D0%BD%D0%BE%D0%B2%D0%BA%D0%B5%20%D1%80%D0%B0%D0%B1%D0%BE%D1%87%D0%B5%D0%B3%D0%BE%20%D0%BE%D0%BA%D1%80%D1%83%D0%B6%D0%B5%D0%BD%D0%B8%D1%8F%20%D0%B2%20Python%20%D0%B4%D0%BB%D1%8F%20%D1%80%D0%B5%D1%88%D0%B5%D0%BD%D0%B8%D1%8F%20%D0%B7%D0%B0%D0%B4%D0%B0%D1%87%20(2).pdf)\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "hQLVkvfL-5gW"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m A new release of pip is available: \u001b[0m\u001b[31;49m25.2\u001b[0m\u001b[39;49m -> \u001b[0m\u001b[32;49m25.3\u001b[0m\n",
"\u001b[1m[\u001b[0m\u001b[34;49mnotice\u001b[0m\u001b[1;39;49m]\u001b[0m\u001b[39;49m To update, run: \u001b[0m\u001b[32;49mpip install --upgrade pip\u001b[0m\n"
]
}
],
"source": [
"! curl https://raw.githubusercontent.com/MSU-ML-COURSE/ML-COURSE-25-26/refs/heads/master/requirements/requirements.txt -o ./requirements_2025_26_for_colab_small.txt\n",
"! pip install -q -r ./requirements_2025_26_for_colab_small.txt"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "vUCY0KLD7VmA"
},
"source": [
"Проверим версию библиотеки:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "CIWS5lZ3-5gX"
},
"outputs": [],
"source": [
"import catboost\n",
"assert(catboost.__version__ == '1.2.8')"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "eC9VrV8G-5gX"
},
"source": [
"Теперь можно приступать к выполнению задания! :)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "y39N4E_B-5gX"
},
"source": [
"-----------\n",
"<font color=\"white\" style=\"opacity:0.2025\"></font>"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"id": "Gc3xTMopl8c1"
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import warnings\n",
"warnings.simplefilter(\"ignore\")\n",
"sns.set(style=\"darkgrid\")\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "cLTHFUz40a9w"
},
"source": [
"## Линейная регрессия и регуляризация"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "PGuTcL0H0a9w"
},
"source": [
"Напомним, что линейная регрессия — это модель следующего вида: $$a(x) = \\langle w, x \\rangle + b$$ где $w \\in \\mathbb{R}^d$, $b \\in \\mathbb{R}$. Обучить линейную регрессию — значит найти $w$ и $b$."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "7ee6L2lk4dBV"
},
"source": [
"В модели линейной регрессии с $l_2$ регуляризацией мы оптимизируем следующий функционал:\n",
"\n",
"$\\frac{1}{N} \\cdot ∑_{i=1}^M (w_1 \\cdot x_{i1} + \\dots w_n \\cdot x_{in} + b - y_i)^2 + \\frac{\\alpha}{2} \\cdot \\left( w_1^2 + \\dots + w_n^2 \\right) \\rightarrow \\min_{w_1, \\dots, w_n, b}$\n",
"\n",
"В модели линейной регрессии с $l_1$ регуляризацией мы оптимизируем следующий функционал:\n",
"\n",
"$\\frac{1}{N} \\cdot ∑_{i=1}^M (w_1 \\cdot x_{i1} + \\dots w_n \\cdot x_{in} + b - y_i)^2 + \\alpha \\cdot \\left( |w_1| + \\dots + |w_n| \\right) \\rightarrow \\min_{w_1, \\dots, w_n, b}$"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "yBXvREbq6J33"
},
"source": [
"### <font color='DarkOrange'>**Задание 1 [1 балл]**</font>\n",
"\n",
"Почему при обучении линейных моделей, коэффициент $b$ не регуляризуется? Дайте ответ с опорой на лекции. Возможно вам также поможет картика из базовой части"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Iqj_cwbV_vEL"
},
"source": [
"<font color='MediumOrchid'>**Ваши выводы тут:**</font>\n",
"\n",
"Потому что в случае, если бы коэффициент b также регуляризовывался, то модели было бы сложно подстраиваться под новые данные, так как они могут быть смещены относительно оси Y на другое значение\n",
"\n",
"Конкретнее:\n",
"- Смещение b независимо от значений признаков и добавляется отдельно ==> его резуляризация не несёт пользы\n",
"- Регуляризация применяется, чтобы снизить сложность модели и избежать переобучения, однако b не влияет на сложность модели, а значит не требует регуляризации"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Md8-JjM68ZUe"
},
"source": [
"-----\n",
"<font color=\"white\" style=\"opacity:0.2025\"></font>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "HND8s6ee6h0P"
},
"source": [
"Рассмотрим модель линейной регрессии с $l_2$ регуляризацией. В sklearn эта модель реализована посредством класса Ridge. В нём есть методы fit и predict. Первый принимает на вход обучающую выборку и вектор целевых переменных и обучает модель, второй, будучи вызванным после обучения модели, возвращает предсказание на выборке."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "oMjk5Dty0a92"
},
"source": [
"Сгенерируем случайные данные. Пусть $x$ будет обычным числом из равномерного распределения, а $𝑦=0.5 \\cdot x + 0.1$ &mdash; целевая переменная. При этом наблюдаем мы $\\overline{y} = y + \\varepsilon,~\\varepsilon \\sim N(0, 0.01)$. Добавим в данные к переменной $x$ её же умноженную на $3$. То есть, теперь у нас два признака $x_1$ и $x_2 = 3 \\cdot x_1$."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "X66mK63v-BI0"
},
"source": [
"Поскольку $y = c \\cdot 0.5 \\cdot x_1 + \\frac{1 - c}{6} \\cdot x_2 + 0.1$, где $c$ любое сколь угодно большое вещественное число. То, как мы могли убедиться в базовой части, без регуляризации есть риск выучить очень большие веса."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "O1ogDSg798EZ"
},
"source": [
"Посмотрим, как меняется значения весов, в зависимости от значения коэффициента регуляризации."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"id": "icTp30Uj7pJn"
},
"outputs": [],
"source": [
"from sklearn.linear_model import Ridge"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"id": "cidgDWJf7o83"
},
"outputs": [],
"source": [
"np.random.seed(1)\n",
"X = np.random.uniform(0, 1, 100)\n",
"Y = X * 0.5 + 0.1 + np.random.randn(100) * 0.1\n",
"\n",
"X3 = np.hstack((X[:, None], 3 * X[:, None]))\n",
"Y3 = X3[:, 0] * 0.5 + 0.1 + np.random.randn(100) * 0.1"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 653
},
"id": "7YIxYW8T0a92",
"outputId": "17c380cc-7cb6-460f-fd7f-c7332a1cdb31"
},
"outputs": [
{
"data": {
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ralH2FTNC9ItUa9FowEUDJzoI0AwL3R7ZRj221knKTwqyti/yR7t+Mep7DhUh1NfQH/76ZRs6vgba9Ae6FuwO9YGehYtcuULTfDVLRgchoQBR5LQ+pV/+OiiIDNboGScd4OiUubxoirIGbvLKlimKyP5WuuqdBmYiAxg6xU6nY2kQpyCyv38dmOoARt+LppfroEaz3/TzEhqs6msp/azo50aLQurnSoODmnqu6deaJq6f3RAd+ER+HnLL5NLPT+hx/Vvr1DhNFdegX3Z6Jk6n6GkgUVeS04GZ1hXIK5NIP0865U8HnHr8UKAx8r0U9vOYH0X9NwcAgH6/6neZZrRmp9+XDz74oPn+1ZM/BRH5/Zw9G16/13X6V/bMJy1LoCd+8nNiMDf5HdPmp40hehJKj6lFp7PTk1p6Ekm/eyOPo+MB7c8jrVobyr7X/TV7+PTTTw8XvQ6NS/VEor525LF1LK5Z4TqOP9q4U0++6lhWV4aNXBVOxzt60i3yxKbSWpv6Gjq9UDOhNKM6coVcINaRgYS4p2eNFi5cGL6vwR/9ktGieFrwLzQ1S2sh6TQc/TLSrA5NHdYAh34hhlJntUiwPkfnleuPfx1M6Kpa+qWnS6TqD2B9jmZF6Nksrceiqzzoa2rB4KPRYIkGY/TLS7Oj9OyJZp0oDaDoYEPboBethaOBBM3M0UKJofdxJNoGHfxo9omeTdLpUDqdKVTYWo+rgwN9f1qDRqcBffTRRybQoq+jtDDyu+++a44ROhOlWVE6HU1XL9OAnA4AdAUx7R8NRmkwQev7RGbG6HvTYIrueyS6kodm6USDnlHS96h/Kw3WaRtDtYlCtI/1fYaml+WXfuY0AKTL2WsBSM3k0TNs2j8a9NE6BKEi23rRAFPoLKD+nfSMnR5DX1s/m/ocHSxpe3UgVBD6+dNjaUBFAzY6ONWglU6HzD73X7OtdB/9m2obNdikGU4aTIos+B2igzoNWukUMj3zpwEnnWYYypQ70uf+aJ/H/NB/e0X5NwcAgI6jtJ6fjsN03KEnJTSwocEPre2o2zQYcaQFJQpKM4v1+1inTGkAS7/ndZqYBiv0uzgyE0ozc7Q+kNITJKHrUE2fyOn1ui0/Y9qC0LGQjgNyq6Oo40D9LtdC1Drm1kLY+jp6X0+cHa3PtF6TjlE0uKPP0/FQqPaTjjn1dbWvdMVcnaYeqpupK75p4EqPf7Rxpy52o4t96AlfHavqmFXHDTpWiMziVnoiVcdauo8uaqL9zBQ2xBMCSIh7eqYlcgl3/VLQDBP9ctUvk8jVp3Ruu/5I16CJnrHQH9h6BiM0fUeL/GrwRIMMuiyq/sDWwI4GCjTLQwMvoR/fmhWkX3QaQNAvUP1Rq1/gkcueZqdLtOt+muGjr6WrvYUKCOtAQr/s9AtZ99EMHj2bpF+q2b/88qLH0i/B0MpjmoqtGUChqWH6JayBAP0hr9s160R/0Ot70SlcSt+zfpnrIOvRRx81QQn94a7vOdRP+iWuX9oa/NL+0GCXBqB0NbcQDZrkpxi1vr/CnoU7Gs2s0elc2p96xk7bqMWus6dHF/SMo9KVQHQgpINCHVzpwEc/H0ozZXQgp32o6fL6udMBj/brNddcYwaJ+rd54403TJ0B7Wcd5GgRSg065TWdLC+aoh36N6Cvpeng+jnS4EtkAElv6xQ9XXUtlIWlfzOdGqafeS1qmdvfQt+LDqx18K2fJR346dlKHQDre8kt8JSfz2N+FPXfHAAAofGGZp3o2EW/e3VKlGYC6QlC/Y4rTEHrI9Fja3BKv1+1OLUGLHQcpt+poTFXiH43Z59Cr8/JS37GtAWhq6nqScy86JhY348WndbX1Glymk2sKx6HsoPzoifPQifQ9PtaM5p0ur7Sduu4VPtIx5aaNaQnrTQgFDml7GjjTm2LnjTUbdomHWfoGET/ztkLfD/yyCPmWscRejJPi5rnd5wNxAJbsCBLBQCwhA4K9MtSCyUfben5wgr9iNcAWLzTKWmaQaZBBz1TVty0tpEGjnRaH3LH5xEAAAAoXaiBBAAAAAAAgCMigAQAAAAAAIAjYgobAABAGaarQ2kxWS1qr9e50bofWhNFi8dq7Q6tWaI1xZKSksL76CpEWtBfCwNr3TddXbIgqx4CAIDYRgYSAABAGaWFdXWhhvT09CPupys26iqE48ePN0XytSi+LswQois7aYF8XWlTFw/QwJGuSKQrYgIAACgCSAAAAGWUZgzp6pdHsmDBApk9e7ZZUUiX6NbgkK4k9OWXX5rVIJUue60rEukCArpCkWYf6b66ahEAAIAigAQAAFAGzZkzxyzB/dRTTx1xv7lz55oltDUwFNKpUyczlW3evHkSCARk/vz5Oaar6SqU+hoAAACKABIAAEAZk5aWZmoY3XfffVK7du0j7qtZRtn3cbvdUqlSJdm8ebM5lk6Bq1WrVpZ9atSoIVu2bIlK+wEAQNnjtLoBZYXWGg8Eir/euN1ui8pxkRX9HH30ccmgn0sG/Vx2+1iPq5k1sU7rF7Vt21bOOuuso+6bkZFhAkbZJSQkSGZmphw8eNDcz75P6PGijJ3i4W8BAEC8IICUTzrI3bXrQLEe0+m0S+XKyZKWli4+X6BYj43D6Ofoo49LBv1cMujnst3HVaoki8MR20GLL774wkxL+/rrr/O1f2Jiong8nhzbNThUrlw5EyhS2ffRxyNXaSvM2En/xsXN4bBLSkqSpKVliN/Pv9FooZ+jjz4uGfRzyaCfy3Yf63H1+EdDAAkAAKAM+fTTT2Xnzp3Ss2fPLNsffPBBmTx5srz++utZtuvUtB9++CHLNg0W7dmzx0xT06lsGkjatm1bln30fs2aNYvU1mgGYXXwTJA3+ujn6KOPSwb9XDLo59juYwJIAAAAZcizzz4bnnYW0rdvXxk6dKicffbZOfbv2LGjec66deukQYMGZpuuyqbat29vppm1a9fObLvgggvCz5s1a5Z06NAh6u8HAACUDQSQAAAAypC8soKqVq1qHvP7/bJr1y6pUKGCmb7WunVrEyAaNmyYqZ2kBbMfeOABOffcc8PHuvLKK+Xaa6+V1NRU6d69u8lyWr58uTz++OMl/O4AAEBpxSpsAAAAMURXVjv55JPNdDalGUajR4+WevXqyaBBg+SWW24xQSINJoXo/k888YR88MEH0r9/f5k5c6aMGzdOGjVqZOE7AQAApQkZSAAAAGXcypUrw7c1UBR5P5Sd9NJLLx3xGJqRpBcAAIDcEEACAKCUCQQC4vf7JFYFAjY5eNAhHk+m+P3BfD/P4XCK3U7yNACg6GL9u7asfLejbI2fCCABAFBKBIO67PkuycjYL7Fuxw67GbwXVFJSeUlJqWKmZQEAUFDx9F1bVr7bUXbGTwSQAAAoJUID2vLlK4vbnRDTQRKHw1ags2c64Nczbvv37zb3K1asGsXWAQBiVTx915b273aUvfETASQAAEqBQMAfHtCWL58isc7ptIvPV7AzaDrQVzoIqlChMtPZAAAFEm/ftWXhux1la/zEyAsAgFJAl16P/JJH7kL9Q90KAEBB8V2LeOUupvETASQAAEoRUumPjP4BABQV3yWIN7Zi+swzhQ0AAAAAEFe8voD8vHCjrFi3WzZuPyBp6R5L2pFSzi11qydL8waVpWebuuJykuOB0osAEgAAsNy7774ls2bNkNGjX7W6KQCAGLfinz3y/g9rZNvuDKubIgc9GbJtT4YsWL1Dfpy3QQad1kxaHFvF6mYhF5mZB+Wtt16XH3+cInv27Jb69RvIVVddIyef3MOyNumKbHfccYukpraUwYOvi/rrEd4EAACW+uyzj+W118Za3QwAQBzYuCNTRn++rFQEj7LTNr346WJZt2Wf1U1BLl544VmZMuUbufXWu+SttyZI9+495Z577pD58+da0h6PxyNPPvmIzJr1e4m9JgEkAABgiR07tsuddw6TsWNfkvr1j7G6OQCAGHfQ45N3p24209dKK483IC9+skgyMlksojQ5ePCgfPPN/+T664dIly5dpV69+nLFFVdL27btZdKkr0q8PUuWLJLBgy+VRYsWSPnyFUrsdQkgAQCAYnPVVZfKCy88E77/yy8/y8knd5CffvohvG3UqJEyZMj1smLFcnG5nDJ+/AeSmnq8RS0GAMSL+at2Slr6oZXYSrM9+z0yf9X2I+6TlrZXnnvuaRkw4Azp3bur/Pe/V4UzYR5//CHz3Zv9MmTIteZxvT158tdZjpd9mwZLBg262Bz7/PPPkvHjXw+vYrd58yazf2TmjR77kUceDN/XY+k+Ifv375enn35czjzzFDnttB4ydKiOA5aFH3/jjVfM60SK3Jbba3711ec52q3BnEsuOd+0W68nTvzATPPKzb333iF33TUsfH/16lXmeBMmvBve9sknH8pFF50rWoN6xIgX5MQTT8pRnHrfvtwzxrStejxtu3rllZdNu3TKfqS0tDTp0aOzTJs2NbztpZeek27dOsru3buzjLHefPN1c3vGjN/kxBO7yvjxE6R8+fJSUqiBBABAKRYMBs3ZSCu4XfYCr9rRtWs3mTr1+/D9OXNmmWPMnz9PevU6xWybMeNXOf/8i+Tkk7ubCwAAJWH28iMHZUqTmX9ska4n1M71MQ3kDBs2RHw+r9x//yNSqVJlE+i49dYhMnbsG3LzzbebTJlt27bKNdcMkscfHyHHH99KXC5Xvl574sQJMm7caBkyZJh07NhZli1bKs8//7Ts3btXbr75tkKNZe64Y6i43Yny9NMvmIDHt99Okv/+d7C88spb0rRp8wIfUwNor776cpZtX375mQnS3HrrndKiRUtZvXqljBw5Qnbs2CY33HBzjmN07drdTEvz+XzidDrDY5YFC+bKf/5zmdnn999/MzWOEhISpVOnE7M8f/nyP0yQSPv7aFatWiEff/yB+fs0bNgoy2MpKSlywgmtzev36NHbbNPbasGCedK79ymyY8cO834eeOBhs/3aa28QKxBAAgCglNIB15PvzZc/N+615PUb16sowy9pV6Agkg6y3nrrNdm6dYvUrFnLDIB0mw7G1MaNG+Sff9ZJt24EjgAAJWv3/kwpK3bty7uts2fPlJUrl8s773woDRs2Nttuv324CWho9syjjz5lgjRaI0dVqJAiVatWy/fY47333pYBAy6UAQMuMNt0mrkGj8aMebFQhZrnzZsjS5cukUmTfpCUlIpm23XX3WimYX388Ydy770PFfiYr746Rtq165jlpNXbb78hV1wxWE455TRzv27denLgwAGTqTV48PWSkJCQ5RhdupwsTz31qPzxxxJp3bqtzJ17aMyi7dWgktfrlYUL58nll1+Z4/X/+edvGT78dhOoOuecAUdsq9frkdGjX5CzzuovzZrlHizTE2paEzI0xV/HSto+DVBpAGnmzF+lVq060rhxE/FZOAWTABIAAKVZwRKALKcDo+rVa5jAUYcOnWXTpo3ywAOPmjOgO3fukN9//1WaNGkqtWvXsXQABABAWbV27Z8mQBQKHik92dO6dTuZPTvr9Ki8PPvskyY7JztdXWzXrp3SqlWbLNvbtm1ngirr1v0tVaoUbJU4zb7RwNR5552ZZbsGuDIzDwfK9OTTqad2C9/XAE61atVzHE+nwP/ww3fy7rsTwwEkneqlGVfjxr2cZWEOnb7m8WSaaWTHHntcluNUrlxZWrY83oxZNBCk9YR0Ndjff//FvMaePbskKSnJZAdFWrJkkQwffpsZ74wYMdJkLx3JpZdeKMcd19AEzfKi2VAaZNITbYsXL5RmzVrISSd1NVPwQplQpeHkGwEkAABKKR0MagZQWZrCFprGNmfOTHNbl5XVQZkOsvQsmk5fs3K5WwBA/KpcPkG27Cp9q6/lpkqFrNkykTQYk/v2wFGDGSGaSRSaLqUGDux/xGMHAoe25/f4WZ8bkOTkZHnjjfdyPBY5rU6DRaNGvRK+r9Pyfv11eo7n6HS6yy+/yowtIt+7Gjp0mDmBlZ1mRecVuJk+/WdTDFsztXTMomMXzZzWoNNJJ3UTh8MR3n/atKny8MP3m8DTk08+l6/6Q3oibcyYl0yGVF5BJM3yatDgWDN+WrJksbRv31Hat+8kzz77lGmHBrmefvp5sRpFtAEAKMU0gJPgdlhyKUzwKBRA0vRvvejgR+lASAeBOpe/WzcCSACAktepRc5sltLqxJa5BzxUo0ZNTFFqzUQK0cCPZq5kz7LJS+XKVcxKYqFLSJUqVc1FjxVJs3M02KPTwgpKM6V0KplmFEW+5vvvvy2//jotvJ8GaiIf14BOdpMmfSnp6Qfkwgv/k+P9aC0ozXyOPIZO9XvttTF5BsY0gKT7aGBIxypKA1A6htFC1ZEnvX79dbo88MBwOemkk+W550blu3h1y5YnyB13DDfvV7OxjjR+mj17lhkrdejQyQSVNPD15puvmr7PnhVmBQJIFgpkHpCMf5aJb/NK8W9ZLf6tf4p/2xrxb1sr/u1/iX/73+Lfse7QZed68e/Sy0bx794o/j2bJLBnswT2bpHA3q0SSNsmgbTtEti3QwL7d0pg/y4JHNgtgfQ9/172SiAjTQIH90nw4H4JZh6QoCddgp4MCXoPStCbKUGf59DF75NgQC8BE8nN6x8bAAC50aCRpqRHDsb0Wldi00FpYYplAgBQVO2aVpWUcoezSUqryhUSpF3TvINdWsxZp4M//PB9Jtjw999/yfPPj5A1a/6UCy7IGlgpjIsvvkw++2yifP75J7Jhw3qZMuVbE8Q4++z+WYIm+/almenpetHpbZmZB8P3NcAV0rlzF9PeBx8cbrKR9ZijRj1vVk879tiGBWqbtmXYsDtzZELpSa9LLhkkn3zykXz66UdmKti0aT+ZDB4tgO12u3M9nk4tq1Wrtvzvf1+aoE1ozKLt1LpPocLZulLaY489aKaWaSHxyPeuBb2PRusZ6XFffvnFPPfp2rWHzJz5m+zZs8cUPQ+15bvvJkuXLl0Llf1V3KxvQRzb98lDsnfvVikzzJloW+7X4dt6dSguacvxWPbnHt7XXJun57Zf0V7LZrdJZrlk8dncEnQmis2dZC7iLnfotivbfb3tTCj0mXcAiHc6SNOzd1qHITQA0lVcNIWdVdcAAFZJdDvlst615dVvN4m3lNbh0+njQ89rJUkJef9U10yd559/WV5++QW55547TJHm5s1T5cUXx8rxx59Q5DZcfPGl4na75KOPJsiLLz4rNWrUNMGZ0MpkIffee2eW+0uXivz44/e5tnfkyDGmCPcDD9wtGRkZJnD0+OPPhE805ZcWlM7rOdpuLZStU99GjRppTlpp0Otohb8180drDbVr18Hc17GLHqdt2w6mBpKaOfN32b9/n1mRrn//flme36ZNO1M76WhuvPEWueqqS+S3334xr5md/u3KlStnMsxCBb91PKWBttKSvW0Lkl6SL35/QHbtOlCsx/TM+VgC6xaYZRjNX+HfeZuHr83GQ9fZbut/WbaFnmdu/nud5XH+zAWigal/g0mHA0x6HRFkCt13aVCq3OH9/90u+jx7fCT5OZ12qVw5WXbvPkBR3Ciin2O7n3Xwt3PnZqlatba4XLmfJYu1fi5M/x6tn6pUSRaHIz7+3xuPYyfF/wtLBv0cffRxyfdzRoZmyGyWHQeS5L0f1si23aWrHlKNykky6PTm0qJBZYmn73aUnfETGUgWKtflIqnc76oS+9I4FCvMGYw6dDv3AFY4UJVXMCuXAFYwrwDWEQNieQTQjvC6waO9j38fs9tEklxBObBnjwQy/5229+/0PTG3I+57M/49XkBEp/nppSidrplMoYBSlgDTvxlP/wansmdAHX48UWzO2P8hCQAAAJSUZsdUkkcHd5ZpCzfKin/2yIbt+yXtwKEl70taSrJb6lUvL82PqSQ929YVJydBUIpZHkDSdPbRo0fLxx9/LPv27ZOOHTvKAw88IPXr1z/q86699lpp3bq13HTTTbnuo8sCnnfeedKyZUt56qmnJN7ZIqd+5fc5EhtR2oqVkyWQj0CdCUr5MsNBpcMBpn/ve7Pd9xyMqCUVCkili/h9hw6ox9JL+p7CvwG7MyLj6XAWlMlwisx4yi0DKhSM0kAUU/IAAAAAw+W0yykd6psLgDISQBozZoxMmDDBBHhq1aolzzzzjFx99dXy9ddf51noSgNDGmT65ZdfTAApLyNGjJBVq1aZABKQHybIosEWV6JIcuFTR4N+b84Mp3CAKY8MKO9BkVAwymRDHTx0MC1ofnCfiBZAL/w7E3Efmmp3OMAUeT9bgMqVS8BKb9tLf9FBAAAAAECMBZA0EPTmm2/K7bffLj179jTbRo4cKd26dZMpU6bImWeemeM58+fPN8GjgwcPSkpKzmX9QjS49M0330iTJk2i+h6A3NgcLrEluUSS8v6MHo2ughfOePr3OjLAdDgAFRl0Ct0/lBmljx+a0hc8HKwqyhtzusN1nyKn3NkTykmwanUJHNtFJLlaUV4BAAAAAFAKWRpAWrFihRw4cEC6dOkS3qZBodTUVJkzZ06uAaRp06aZANONN94oZ599dq7H3bVrlwwfPlweffRReeutt6L6HoBoMQW4E5LFlpBc6GMcmpLn+TcAlcuUvCz3/w1QeQ9PyzsUsDoo4v93TrgeSy+5vJbZY8YX4mrWXdxtzxJ7+SqFbjcAAAAAoHSxNIC0ZcsWc127du0s22vUqBF+LLthw4Yd9bj33nuv9OrVS3r37l2sASStpVOcQlXOWS0muuK+n3U6mll+svABnaDfl2XqXfh25qHsKJsGnbaukoy/Fol3+U/iXfWrJLTsLYntzhR7uYrF+nbiWdx/lmO8nwOB+KlTFirJpteFXQvW4bAV+/cyAAAASmkAKSPj0LKJ2WsdJSQkyN69ewt1zA8//FDWrFkjzz33nBQnu91mln+MhpQU/XGPaKOfi+rogaCMf/6Q3T9/IAfXL5fMxd+JZ/nPUrHjGVLxxLPFkVShRFoZD/gsx2Y/HzzokB077HEVGClMkE4DbXa7XSpWLCeJiYlRaRcAAABKWQApNPDTWkiRg8DMzExJMhkTBbN27VpThPuNN96QcuXKFWtbA4GgpKWlF/vAWX+gpKVliN9/5NXBUHj0c8n1sbdSQ0k8825xrl8qGbM/Ff+2tbLn989kz9xvJLH1/0li69MOFeRGofBZju1+9ngyzQqjfn/wqCtGlnWaeaT9rP1b0Awk7R/tp7170yUjw5/jcf3bkaUHAAAQYwGk0NS1bdu2yTHHHBPervebNWtW4ONNnjzZ1FS68sorw9u02LYW3v7uu+9kwYIFRWpvtAb0OoCO9R8LpQH9XDJ9rD/ubHVaStI5qeJft1Ay534mgV3r5eCczyRz8RRxt+knrpZ9xOZMsLq5ZRaf5djsZ/23Ey9CQaPCTl9T8RBoAwAAKE0sDSA1b95cypcvL7NmzQoHkNLS0mTZsmVy6aWXFvh4+pyzzjoryzZd4a1WrVrmGkDJsdls4jy2rTgatBbf2jnimfu5BPZukcxZE8Wz+DtTaNvVoodZsQ4AAACwUtDvFfH7Sv6FHU7GwygzLA0gae0jDfo8++yzUqVKFalbt66ZgqYBn759+4rf7zcrqlWoUCFfdQ4qVapkLpH0ecnJydKgQYMovhMAebHZ7OJq1Fmcx3UQ358zJHPeFxLct0Myf39PPIsmi7v9OeJq2lVsdkv/dwTAAmlpe+WVV16W33//1WQQN2rUWK6//iZp3bqN1U0DAMQZz4L/iWf+lyX+uu5250hCh/4l/rrIn7Vr18jYsS/JH38sNTUY27RpJ0OGDDMxi5L07rtvyaxZM2TcuNfFSpYXCRg6dKicf/75ct9998nFF18sDofD1DByuVyyefNmOfnkk83UNABlm83uEFfTkyX5wqck4eTLxVaukgQP7JLM6W/JgYn3inf17xIMMB0FiCcPPniPLF26WB566HF5/fV3pEmTpnLrrTfKP//8bXXTAABAnNu7d48MG3aDJCQkyujRr8izz74ke/bslttvv8nUbS4pn332sbz22lgpDSw/5a8BozvuuMNcsqtXr56sXLkyz+dOnTr1qMd/9913i9xGAMXH5nCKO7W3CSZ5l/9kzvYE07bKwZ9eFfvC/4m7fX9xHtfeZC4BiF3r1/8jc+bMkjFjXpdWrQ5lHA0bdqc5uzZlyrdy9dXXW91EAAAQx6ZP/1kyMg7K/fc/bIJI6v77H5HzzjvTnABr376jRNOOHdtlxIgnZMGCuVK//uGa0VbiFxoAS9icbnGfcJokX/yMuDueL+IuJ4Hdm+TgDy9L+mcPi++fRRIsSoVdIEbov4OgN9OaSyH+DV511aXywgvPhO//8svPcvLJHeSnn34Ibxs1aqQ8/fQT8swzL0jz5qlZaqfpZd++tGLoOQAAYnsa+HPPPS0DBpwhvXt3lf/+9yqZP3+ueezxxx8y373ZL0OGXGse19uTJ3+d5XjZt33zzf9k0KCLzbHPP/8sGT/+dVNiRm3evMnsH3o9pcd+5JEHw/f1WLpPyP79++Xppx+XM888RU47rYcMHXq9rFixLPz4G2+8Yl4nUuS23F7zq68+z9HuSZO+kksuOd+0W68nTvzArN6aG52W1qNHZ/ngg/fC23RqvbZv06aN0qFDJ3nqqefCwSOl09hUXmMV7ftQP2sG0+DBl8m55/5fjv327dtn/nZ33TUsvG327JnSrVtH+fnnH839FSuWi8vllPHjP5DU1OOlNLA8AwlAfLO5EiWh7ZniTu0lniVTxLPkOwnsXCcZ344Ue83GktBhgDjrHv6BCcQTDeCkf/W4BLb+acnrO2o2kaSz7zFBnfzq2rWbTJ36ffi+Zhnp8+fPnye9ep1its2Y8aucf/5F0qXLyVmeqwOmDRvWy9ChtxXjuwAAILZoIGfYsCHi83lNRkylSpXlk08+lFtvHSJjx74hN998u1x//RDZtm2rXHPNIHn88RFy/PGtTJmY/Jg4cYKMGzfa1Prp2LGzLFu2VJ5//mnZu3ev3HzzbYUaz9xxx1BxuxPl6adfMAtpffvtJPnvfwfLK6+8JU2bNi9UAO3VV1/Osu3LLz8zAaBbb71TWrRoKatXr5SRI0fIjh3b5IYbbs5xjJYtj5fLLrtS3nhjnHTv3lN27Ngh77//tunTOnXqmn1q166T5TnvvTdeEhISpHXrdkdt4/jxb5i/zdNPj8zxmNZ5vueeB2XYsBvl+++/lU6dTjTBp7POOld69uxj9jn55O7mUpoQQAJQKtgSkk0BQdfxp4hn4WTx/vGj+dGcMWmEOOq0MIEkR60mVjcTKHE2yX/wpjQ4+eQe8tZbr8nWrVukZs1aJoCk2zT9Wm3cuEH++WeddOuWdUC0ZMkieeKJR6RHj15y0klZA0sAAECyZKqsXLlc3nnnQ2nYsLHZdvvtw2X58j9kwoR35dFHnzJBGo/HYx6rUCFFqlatlu9gz3vvvS0DBlwoAwZcYLbp9CkNHo0Z86IMHnxdgds7b94cWbp0iUya9IOkpFQ026677kbz3f/xxx/Kvfc+VOBjvvrqGGnXrmOWk1Zvv/2GXHHFYDnllNPM/bp165lFOjRTa/Dg603gJ7srrrhaZs78XZ5++jGT5XT66WfIqaeenutrfvLJh/LppxPllltul8qVKx+xfWvW/ClfffWZvPzy61KtWu59rxlO558/UF566Xlp0SLV/J0KE6ArSQSQAJQq9sQKknjiReJudZp4Fnwt3uU/i3/TcpOF4ajfShI6DhBHtWOtbiZQIjRzRzOAxHdoAFjinO4CZR+pZs2aS/XqNUzgqEOHziYF/IEHHjVnQHfu3GFWXNNi2XpGz+cLhKe5PfzwfXLCCa3lgQcei9KbAQAgNqxd+6cJEIWCR0q/rzUrZvbsGfk6xrPPPmmyc7LTItG7du0M1ycMadu2nfh8Plm37m+zgnpBrFq1wgSmtHZQJA1wRRaj1pNPp57aLXzf6/VKtWrVcxxPp3b98MN38u67E8MBpN27d5uMq3HjXs5ScFqnr3k8mSY4dOyxx+U4ltPplAceeEQuv3ygVKlS1dRjzE7b/vrr40yAatCgwSbocySLFy+UQYMGmnqOzZu3OOK+mik2c+ZvZnz01lvvZ5kuVxoRQAJQKtnLVZLErpeJu9X/iWfBV+Jd+av41y+W9PWLxXlcB1Ns21HlUGopEMtMAMeV84xZaabT2ObMmWlup6a2NGnkGlTSugU6fU0zkkI+/fQjefHF56RXrz5y332P5Du9HgCAeJVXjcJgMGACIvmhmUQ9evQO3x84sP8Rjx0IHNqe3+NnfW5AkpOT5Y03DtcaCon83tdg0ahRr2TJ+Pn11+k5nqPT6S6//Coztoh872ro0GHmBFZ2mhV9pGwhfd96omvNmtVmul+IBs2eeOJhM81s6NBb5cIL/5Ovk2maBaWBLB0TNWnSLM999TV37txpFhfTzLIj7VsaUEQbQKlmr1BNErtfJckXPinOxl3MhB7fX3Ml/ZP7JGPqKxLYu9XqJgLIRgdLmq6ul/btO5ltulKJDgIXLJgn3bodCiB9/vknMnLkMyZN/qGHniB4BABAPjRq1MQUpdZMpBANgGjmS25ZNrmpXLmK1KtXP3wJ0SwcveixIi1atMB8T+u0sILSTCmdSqYZRZGvqfWGfv11Wng/DaJEPq5TurKbNOlLSU8/kCOQo+9H6w1p5nPkMXSq32uvjckzMKZ1j5555kkTkNKgz2OPPSgZGRnhxx999H6T5fTgg4/lK3ikNIvooosuMbUen3rqsSME5QLy6KMPmIDTHXcMN1lOf/65WkozAkgAygR7xZqS1Ps6KXf+YyYDSSQovj9nyIGJw+Xg9DclsH+n1U0E8C8NGmlK+rRpU8NL3Oq1rsSmg1Itlql1kF588Vnp3r2XXHbZFSZd/tBZuB1mUAwAAHKnBZd1OrhO/9YTM3///Zc8//wIk0lzwQX5C3IcycUXXyaffTbRnOjRxS2mTPlW3nzzVTn77P5m6lyIrkQW+u7WTJ3MzIO5fpd37tzFtPfBB4ebbGQ95qhRz5vV0449tmGB2qZt0Wlm2TOhNGP7kksGySeffGSym7Xm4rRpP8mzzz5lAjputzvX4z355CNSvXp1E0DS+kPp6emmbUrb9+OP38u1194obdu2D783veh7PZr//vcm+euvNaZgeG40gKaFvu+++34588xzpU2bdiagpIG20oopbADKFJ22lnTqEPHv+Fsy53xmprV5V0wX76rfxdWih7jbnmWmvwGwjg7SNH1c6zCE0sB1FRc90xZaTWTq1B/MYHP69J/MJdL//d+ZhSqoCQBAPNBMneeff1lefvkFueeeO8Tr9Ujz5qny4otj5fjjTyjy8S+++FJxu13y0UcTzMmeGjVqmuDMf/5zWZb97r03a72gpUvFBFxya+/IkWNMEe4HHrjbZPho4Ojxx58Jn2jKr969T8nzOdpuLZStU99GjRppTlpp0Cuvwt9aEHvu3FlmJTjNrnK5KsqwYXfI/fffbabb67Q1pe3WSyRdQa1fv7PkSHQlt/POu8hMZdN2R9Y30sCRBuU0yBTK6rrzzntNLSYtEH7jjTlXjSsNbMG88qmQhd8fkF27DhTrMZ1Ou1SunCy7dx8IFxJF8aOfY7uP/VtWS+bcz0yhbcPhFlfLPuJu088U5I4lfJZju5918Ldz52apWrW2uFy5nyWLtX4uTP8erZ+qVEkWh4ME61gdOyn+X1gy6Ofoo49Lvp8zMg7m+R0S9HtF/L6Sb6DDKTaHK66/21F2xk9kIAEo0xy1mki5M+8S38ZlJpAU2PqneBd/I97lP4n7hL7iPuE0sSUkW91MAAAAlGImiBMjgRwgWgggAYgJzrqp4qjTwkxp06ltgZ3rxDP/K/H88aNZyc19/Clic5XuZTEBAAAAoLQigAQgZmjxPOcxrcVRv5X4/p4nHs1I2r1JPHM+Ee+S78Td5kxxpfYSmzP2pwcBAAAAQHEigAQgJgNJruM6iLNBO/GtmSmZ876QYNo2yZz5gXiWfGsKbbuadRebg/8FAgAAAEB+8OsJQMyy2e3ianKSOBt1Eu+q38Qz70sJHtglmb++I55FkyWh3TnibHKS2OwOq5sKAAAAAKUaASQAMc9md4q7eQ8TTPIunyaeBV9LcN8OOTjtDbEvnCTuDv3F2bCj2Gys3ATrsTjqkdE/AICi4rsE8SZYTJ95fi0BiKvVNbSYdvLFIySh84ViSygvgb1b5OCPYyX90wfF9/cCBhSwjMNxKBPO48m0uimlWqh/HExBBQAUEN+1iFeeYho/MfoCEHdszgRxt+4nrha9xLN0ingWfSuBXeslY8qLYq9+nCR0PE8cdVuaWkpASbHbHZKUVF72799t7rvdCTH9GQwEbOL35z9gq8FdHfxo/2g/2e2cAwMAFEy8fdeW9u92lL3xEwEkAHHL5k4ydZDcqX3Es/hbE0wKbP9LMiY/K45aTcXd8Txx1m5mdTMRR1JSqpjr0MA2lukAJhAIFPh5OvgJ9RMAAAUVT9+1ZeW7HWVn/EQACUDcsyWWl4RO54vrhL7iWThJvMt+FP+WVZLx9ZPiqHe8JHQYII4aDa1uJuKAngWtWLGqVKhQWfx+n8Qqh0PfZznZuze9QGfRNO2azCMAQFHEy3dtWfluR9kaPxFAAoB/2ZNSJLHLxeI+4TRTaNu7Yrr4NyyV9A1Lxdmgrbg1kFS1vtXNRBzQL3m73S2xyum0S2JiomRk+MXn40wlAKDkxfp3bUnjuz0++pgAEgBkYy9fRRK7DTJ1kjLnfyG+1b+Lb90Cc3E27CTuDueKo1Idq5sJAAAAACWGABIA5MGeUl2Sel4j/jZniGfuF+JbO/vQ5a854mzS1dRP0n0AAAAAINYRQAKAo9Bso6RTbhD/zrPEM/ezQ9lIq34V3+oZ4mreXdxtzzJZSwAAAAAQqwggAUA+af2jpNNuFv+2tZI59zNTH8m7/CfxrvpFXKl9xN3mDFNHCQCibefOnfLUU0/JL7/8IpmZmdKxY0e56667pFGjRjn2HTVqlIwePTrX4wwYMECefPJJc/vKK6+U33//PcvjnTp1knfffTdK7wIAAJQlBJAAoIB0RbZy/W4X3+aV4pnzqVmxzbvkO/Eu/1ncx58q7tb/J7aEZKubCSCG3XjjjWYZ31dffVWSk5PlxRdflCuuuEKmTJkiSUlJWfa96qqrZODAgVm2vfXWW/LBBx+Y54SsXLlSHnroITnllFPC21wuVwm8GwAAUBYQQAKAQnLWbiaOs4aLf+MfkjnnUwls/0s8C/8nnmU/irvV6eI+vq/Y3Fl/yAFAUe3du1fq1q0r1113nTRt2tRsu+GGG+Scc86R1atXS6tWrbLsrwEmvYQsW7ZM3nnnHXn00UelWbNm4YwmvbRu3VqqV6e2GwAAyIkAEgAUgc1mE2e948VRt6WpjaQ1kgK7Nohn7ufiXfK9uNv0E1fLPmJzJljdVAAxomLFivLcc8+F7+/atUvGjx8vtWrVksaNGx/1+Y888oh06NBB+vfvnyX7SP9/dtxxx0Wt3QAAoGwjgAQAxUB/eLmObSfOBm3Et3aOZM79XIJ7t0jmrIniWfydKbTtatFDbA6mgwAoPvfff79MnDhR3G63jB07VsqVK3fE/X/66SdZsGCBfPHFF1m2r1q1SipUqGCCS7/99ps5zumnn24ym/TYAAAABJAAoBjZbHZxNeoszuM6iG/175I5/0sJ7tshmb+/J57F34i73dniatpVbHb+9wug6AYNGiQXXXSRvP/++6Yu0oQJE6Rly5Z57q+1j3r16iUtWrTIEUDSYtw6/U2LaS9fvlxGjBghmzZtMteF5XTapbg5HPYs14gO+jn66OOSQT+XDPo5PvrYFgwGg5a9ehni9wdk164DxXpMHVRVrpwsu3cfEJ8vUKzHxmH0c/TRx3kL+n3iXTldPPO/kmD6HrPNllJTEtqfI85GJ4rNnv8vAPq5ZNDPZbuPq1RJjsvBqxbUPvPMM00No9CqatlpMEiDR1p4u0ePHlke8/l8cuDAATM9LmTy5MkybNgwk5FUrVq1ArdJh5ianQkAAGIDp8ABIIpsDqe4U3uLq+nJ4l32kymyHUzbKgd/elXsCyeJu0N/cR7bnh9ZAPJNax7NmDFDTjvtNHE6Dw3l7Ha7qX+0bdu2PJ/3ww8/SJUqVaRr1645HtPjRAaPVJMmTcz1li1bChVACgSCkpaWLsVNA4QpKUmSlpZhTvAhOujn6KOPSwb9XDLo57Ldx3rc/JyAI4AEACXA5nSLu9Vppg6SZ+kP4lk0WQK7N8rB70eLvVoDSegwQBz1WxFIAnBUO3bskFtvvVVef/116datm9nm9XrN6mq9e/fO83lz586VTp06hYNOkS677DKpV69eluylJUuWiMvlkmOPPbbQbY1mFp8OnskSjD76Ofro45JBP5cM+jm2+zj+crwBwEI2V6IktD1Tyl/8jKmHJK5ECexYJxnfjpT0rx4X36blVjcRQCnXtGlT6d69uzz22GMyZ84cU7/o7rvvlrS0NLniiivE7/fL9u3b5eDBg1mepwGm5s2b53pMzWb68ssv5YMPPpD169eb6Wta+2jw4MFSvnz5EnpnAACgNCMDCQAsYEtINllHruNPFc/CyeL940cJbP1TMv73tDjqtJCEjueJo+bRl+MGEJ+ef/55ee6550yNon379kmHDh1MIe06derIhg0bpE+fPiabaMCAAeHnaFCpUqVKuR7v0ksvNRmQ7777rjzxxBNSvXp1E4y69tprS/BdAQCA0owi2vlEEe2yi36OPvq46ALpe8Sz4GvxLv9ZJOA32xzHtD40ta1aA3Offi4Z9HP0UUQ7PkRj7KT4N1oy6Ofoo49LBv1cMujn+Bg/kYEEAKWAvVwlSex6mbhb/Z94Fnwl3pW/iv+fRZL+zyJxHtfhULHt6vWtbiYAAACAOEUACQBKEXuFapLY/Spxt+4nmfO+FN+fM8X311zx/TVPfE27SPlTLhGRClY3EwAAAECcIccbAEohe8VaktT7Oil3/mMmA0kkKJ5Vv8vGt+6SQMY+q5sHAAAAIM4QQAKAUsxRpa4knTpEyvV/SOyVakkgY794Vky3ulkAAAAA4gwBJAAoAxzVj5XENmeY25l//CTBIMUJAQAAAJQcAkgAUEa4m5wo9oRyEkjbJv4NS61uDgAAAIA4QgAJAMoImytByrfqZW57/phqdXMAAAAAxBECSABQhqS0P81c+9cvksD+nVY3BwAAAECcIIAEAGWIu2pdcdZNFQkGxbv8Z6ubAwAAACBOEEACgDIm4fg+5tq7YpoE/T6rmwMAAAAgDhBAAoAyxnVsW7GVqyTBjDTx/T3P6uYAAAAAiAMEkACgjLE5nOJq3sPc9i6jmDYAAACA6COABABlkKtFTxGbXfybV4p/10armwMAAAAgxhFAAoAyyJ5cWZwN2prbZCEBAAAAiDYCSABQRrlSe5tr7+rfJOg9aHVzAAAAAMQwAkgAUEY56rYQW8VaIt6D4l09w+rmAAAAAIhhBJAAoIyy2ezibtErPI0tGAxa3SQAAAAAMYoAEgCUYa5mJ4s43BLYtV4CW/+0ujkAAAAAYhQBJAAow2wJyeJs1Nnc9lBMGwAAAECUEEACgDLO3fJQMW3f2jkSyEizujkAAAAAYhABJAAo4xzVjxN79eNEAj7xrvzV6uYAAAAAiEEEkAAgBrhTD2UheZf/JMFgwOrmAAAAAIgxBJAAIAY4G3UScZeT4L7t4l+/1OrmAAAAAIgxBJAAIAbYnAnianqyue1Z9qPVzQEAAAAQYywPIAUCAXnppZekW7du0qZNG7nmmmtk/fr1+Xre1VdfLaNGjcqx/fXXX5fTTjvNHO+MM86Qjz/+OIrvAABKB3dqL3Pt/2exBPZtt7o5AAAAAGKI5QGkMWPGyIQJE+TRRx+VDz/8MBwY8ng8eT5HH7vnnnvkl19+yfHYK6+8Yi4333yzfPXVV3L55ZfLQw89JF988UWU3wkAWMteqbY46qaKSFC8y6dZ3RwAAAAAMcTSAJIGgt58800ZOnSo9OzZU5o3by4jR46ULVu2yJQpU3J9zvz582XAgAEyd+5cSUlJyfH4Bx98IFdddZX069dPjjnmGLnooovknHPOIQsJQFxwhYppr5wuQb/X6uYAAAAAiBGWBpBWrFghBw4ckC5duoS3aVAoNTVV5syZk+tzpk2bZqa7aUZRhQoVsjym2UtPP/209O/fP8t2u90uaWlpUXoXAFB6OBu0FVu5ShLMSBPfX/Osbg4AAACAGOG08sU100jVrl07y/YaNWqEH8tu2LBheR5PA0WRwSi1adMmmTRpkgwcOLDI7XU6izfe5nDYs1wjOujn6KOPS1M/2yWhZS85OOdz8S3/SZKan1Ri7YsVfJ6jjz4GAAAoeywNIGVkZJhrt9udZXtCQoLs3bu3yMffsWOHKcpdtWpV+e9//1ukY9ntNqlcOVmiISUlKSrHRVb0c/TRx6Wjnyuc+H/yz9wvxbd5pSR7d4i7RoMSa1ss4fMcffQxAABA2WFpACkxMTFcCyl0W2VmZkpSUtEGlWvXrpVrr71W/H6/vPPOO7nWSyqIQCAoaWnpUpz0zKsOntPSMsTvDxTrsXEY/Rx99HFp6+dEcR3XXrxr58j2GZOkXPdBJdjKso/Pc9nuYz0umU0AAAAxFkAKTV3btm2bKXgdovebNWtW6OPOmzfPZBzVrFlTXn/9dXNdHHy+6PyQ0MFztI6Nw+jn6KOPS08/O1v0MgGkzJW/iavD+WJzk+lRUHyeo48+BgAAKDssPUWnq66VL19eZs2aFd6mxa6XLVsmHTt2LNQxFy9eLFdffbU0adJE3n///WILHgFAWeKo00LsFWuJeA+K988ZVjcHAAAAQBlnaQBJax9deuml8uyzz8qPP/5oVmXTItm1atWSvn37muln27dvl4MHD+breD6fT26//XZT8+ipp54yU+H0+XrZtWtX1N8PAJQWNptNXKm9zG3vsqkSDAatbhIAAACAMszSKWxq6NChJvBz3333mUCRZh698cYb4nK5ZMOGDdKnTx958sknZcCAAfnKPlq3bp25fcopp2R5rG7dujJ16tSovQ8AKG1cTU+WzNmfSmDXBvFv/VOctZpY3SQAAAAAZZTlASSHwyF33HGHuWRXr149WblyZZ7PzR4Qateu3RH3B4B4YktIFlfjzuJd+Yt4l/1IAAkAAABAobFMCQDEMFdqH3PtWztXAhlpVjcHAAAAQBlFAAkAYpij+rFir36cSMAn3pXTrW4OAAAAgDKKABIAxDh3am9z7V3+swQDLJkOAAAAoOAIIAFAjHM26iySkCzBfTvEv2Gx1c0BAAAAUAYRQAKAGGdzus2KbMqz7CermwMAAACgDCKABABxwJ3ay1z7/1ksgbTtVjcHAAAAQBlDAAkA4oC9Yi1x1G0pIkHxrvjZ6uYAAAAAKGMIIAFAnHCFimmvmC5Bv9fq5gAAAAAoQwggAUCccDZoI7bkyhI8uE98f821ujkAAAAAyhACSAAQJ2x2h7ia9zS3vRTTBgAAAFAABJAAII64mncXsTnEv2WV+Hett7o5AAAAAMoIAkgAEEfsyZXFeWxbc5ssJAAAAAD5RQAJAOKMq2Ufc+1d/bsEPRlWNwcAAABAGUAACQDijKN2c7FXqi3iPSjeP2dY3RwAAAAAZQABJACIMzabTVypvc1t7x9TJRgMWt0kAAAAAKUcASQAiEOuJieJON0S2L1B/FtXW90cAAAAAKUcASQAiEO2hGRxNT4xnIUEAAAAAEdCAAkA4lRoGpvvrzkSyEizujkAAAAASjECSAAQpxzVjhV79YYiAb94V0y3ujkAAAAASjECSAAQx9wt/y2mvfwnCQYCVjcHAAAAQClFAAkA4pizYSeRhGQJ7t8p/vWLrW4OgHzauXOn3HHHHXLiiSdK27Zt5dprr5U1a9bkuf9XX30lzZo1y3HZsGFDeJ9vvvlG+vXrJ61atZJzzz1XZsyYUULvBgAAlAUEkAAgjtmcbnE162Zue5ZRTBsoK2688UZZt26dvPrqq/LJJ59IYmKiXHHFFZKRkZHr/itXrpROnTrJr7/+muVSu3Zt8/jMmTNNQGrgwIHy+eefS5cuXY4alAIAAPGFABIAxDl3i57m2r9+iQTStlvdHABHsXfvXqlbt6489thjJluoUaNGcsMNN8i2bdtk9erVuT5n1apVJuOoevXqWS4Oh8M8/tprr8kpp5wil19+uTneXXfdJS1btpS33367hN8dAAAorQggAUCcs1esJY56x4tI0NRCAlC6VaxYUZ577jlp2rSpub9r1y4ZP3681KpVSxo3bpxnBpIGhnITCARk/vz5JusoUufOnWXOnDlReAcAAKAsclrdAACA9VypvcS/Yal4V/4i7g79xeZwWd0kAPlw//33y8SJE8XtdsvYsWOlXLlyuWYsbd26VebOnSsTJkyQ3bt3m8wlnbJ23HHHSVpamqSnp5sAVKQaNWrIli1bitQ+p7P4z1U6HPYs14gO+jn66OOSQT+XDPo5PvqYABIAQJzHtBFbchUJHtglvrVzxNXkJKubBCAfBg0aJBdddJG8//77pi6SBoh06lmk0LS2YDAoTz75pBw8eNAEm/7zn//I119/LT6fzzyuQahICQkJkpmZWei22e02qVw5WaIlJSUpasfGYfRz9NHHJYN+Lhn0c2z3MQEkAIDY7A5xteghnrmfm2LaBJCAsiE0Ze3xxx+XRYsWyXvvvWeCRJE6dOhgVlSrXLmy2Gw2s2306NHSs2dP+eyzz+SCCy4w2zweT5bnafAoKanwg9RAIChpaelS3PTMqw6e09IyxO8PFPvxcQj9HH30ccmgn0sG/Vy2+1iPm5/MJgJIAADD1byHeOZ9JYGtf4p/5z/iqHqM1U0CkAuteaQBodNOO02czkNDObvdboJJWkg7N1WqVMlyXwND9erVM1PbKlWqZKa+ZX+u3q9Zs2aR2urzRe9HhA6eo3l8HEI/Rx99XDLo55JBP8d2HzNBEQBg2MtVEudx7cxt77KpVjcHQB527Nght956qwkihXi9Xlm2bFmuhbI/+ugjUxBb6xyF7N+/X/7++28TdNKspHbt2sns2bOzPG/WrFkmewkAAEARQAIAhLlSe5tr7+oZEvRkWN0cALnQ1de6d+8ujz32mFklbdWqVXL33XebYthXXHGF+P1+2b59u6l1pHRfXWntzjvvNPWQlixZIjfddJPJShowYIDZ58orr5RJkybJW2+9JWvWrJERI0bI8uXLTY0lAAAARQAJABDmqN1c7JXqiPgyxbv6N6ubAyAPzz//vHTp0kWGDRtmahjt2bPHFNKuU6eObN68WU4++WSZPHmy2bd27doyfvx4k4F08cUXmyBThQoV5J133jGFspXu/8QTT8gHH3wg/fv3l5kzZ8q4ceNyzWgCAADxyRbUJTmQr3mGu3YdKNZj6tK2ujrJ7t0HmCcaRfRz9NHHsdXPnqXfS+bv74u9cl0pd/5j4aK78YLPc9nu4ypVkllCOIbHTop/oyWDfo4++rhk0M8lg36Oj/ETIywAQBaupl1FnG4J7N4o/i2rrG4OAAAAgFKAABIAIAubu5y4GncxtymmDQAAAEARQAIA5FlM2/fXXAmk77W6OQAAAAAsRgAJAJCDo1oDsddoJBLwi3fldKubAwAAAMBiBJAAALly/5uF5F3+swQDFEMEAAAA4hkBJABArpwNO4okJEtw/07xr19kdXMAAAAAWIgAEgAgVzanW1zNupnbHoppAwAAAHGNABIA4KjT2Pzrl0ogbZvVzQEAAABgEQJIAIA82VNqiKPe8SISFM+yn6xuDgAAAACLEEACAByRO7WPufat/EWCPo/VzQEAAABgAQJIAIAjchzTWmzJVSSYuV98f821ujkAAAAALEAACQBwRDa7XVwteprbFNMGAAAA4hMBJADAUbmadxexOSSw9U/x71hndXMAAAAAlDACSACAo7KXqyTO49qb216KaQMAAABxhwASACBfXKm9zbX3zxkS9KRb3RwAAAAAJYgAEgAgXxy1m4m9ch0RX6Z4V/1udXMAAAAAlCACSACAfLHZbOJq8W8W0vKpEgwGrW4SAAAAgBJCAAkAkG+upieJON0S2L1J/JtXWt0cAAAAACWEABIAIN9s7nLianySue1dNtXq5gAAAAAoIQSQAAAF4krtZa59f82TQPoeq5sDAAAAoAQQQAIAFIijWgOx12wsEvSLd8V0q5sDAAAAoAQQQAIAFJi7xaEsJO/ynyUYCFjdHAAAAABRRgAJAFBgzoYdxZZQXoIHdon/n0VWNwcAAABAlBFAAgAUmM3pFmezbua2Z9mPVjcHAAAAQJQRQAIAFIrbFNO2iX/DUgmkbbO6OQAAAACiiAASAKBQ7Ck1xFH/eHPbs2yq1c0BAAAAEMsBpEAgIC+99JJ069ZN2rRpI9dcc42sX78+X8+7+uqrZdSoUTke++abb6Rfv37SqlUrOffcc2XGjBlRaj0AxDd3am9z7V35iwR9HqubAwAAACBWA0hjxoyRCRMmyKOPPioffvhhODDk8eT9Q0Qfu+eee+SXX37J8djMmTPljjvukIEDB8rnn38uXbp0kWuvvVbWrFkT5XcCAPHHUb+12MpXFck8IL61c6xuDgAAAIBYDCBpIOjNN9+UoUOHSs+ePaV58+YycuRI2bJli0yZMiXX58yfP18GDBggc+fOlZSUlByPv/baa3LKKafI5ZdfLo0aNZK77rpLWrZsKW+//XYJvCMAiC82u11cLXqa20xjAwAAAGKXpQGkFStWyIEDB0yWUIgGhVJTU2XOnNzPZE+bNs1Md/viiy+kQoUKWR7T7CUNMEUeT3Xu3DnP4wEAisbVrLuI3SGBbWvEv2Od1c0BAAAAEAVOsZBmGqnatWtn2V6jRo3wY9kNGzYsz+OlpaVJenq61KpVK9/HAwAUjb1cRXEe10F8a2aJd9lUcXS/0uomAQAAAIilAFJGRoa5drvdWbYnJCTI3r17C3y8gwcP5nm8zMxMKSqns3gTthwOe5ZrRAf9HH30cckozf2ceEIf2a8BpD9nSHLXi8WWUE7KqtLcz7GCPgYAACh7LA0gJSYmhmshhW4rDfYkJSUV+HgaKAodL1JhjxfJbrdJ5crJEg0pKUVrG/KHfo4++jh++zlYqZ1k/lZfvNvXi2P9HKnYsZ+UdaWxn2MNfQwAAFB2WBpACk1d27ZtmxxzzDHh7Xq/WbNmBT5epUqVpFy5cub5kfR+zZo1i9TWQCAoaWnpUpz0zKsOntPSMsTvDxTrsXEY/Rx99HHJKO397GzeS7zb35Hdc74Rf6PuYrPZpCwq7f0cC6LZx3pcMpsAAABiLICkq66VL19eZs2aFQ4gaR2jZcuWyaWXXlrg4+mPlXbt2sns2bPlggsuCG/X43fo0KHI7fX5ovNDQgfP0To2DqOfo48+ju9+djTqIjLjIwns3iSZ65eJs04LKctKaz/HEvoYAACg7LD0FJ3WKtJA0bPPPis//vijWZVNi2RrEey+ffuK3++X7du3h2sb5ceVV14pkyZNkrfeekvWrFkjI0aMkOXLl8ugQYOi+l4AIN7Z3EnianJoFUwtpg0AAAAgdlie4z106FA5//zz5b777pOLL75YHA6HvPHGG+JyuWTz5s1y8skny+TJk/N9PN3/iSeekA8++ED69+8vM2fOlHHjxkmjRo2i+j4AACKu1N7m2vfXfAmk77G6OQAAAABiYQqb0oDRHXfcYS7Z1atXT1auXJnnc6dOzf0M97nnnmsuAICS5ah6jNhrNpbA1j/Fu2KaJLQ7x+omAQAAAIiFDCQAQGxx/5uF5F0+TYIBv9XNAQAAAFAMCCABAIqVs2FHsSVWkOCBXeL7Z6HVzQEAAABQDAggAQCKlc3hElezbua2d9lPVjcHAAAAQDEggAQAKHauFr00lCT+DUslsHeL1c0BAAAAUEQEkAAAxc6eUl0c9U8wtz3Lf7a6OQAAAACKiAASACC6xbRX/iJBn8fq5gAAAAAoAgJIAICocNRvJbbyVUUyD4hv7WyrmwMAAACgCAggAQCiwma3/1sLScSzbKrVzQEAAABQBASQAABR42reXcTukMC2teLf8bfVzQEAAABQSASQAABRY09KEedxHc1tL1lIAAAAQJnltLoBAIDY5krtJb41M8W7eqYkdL5IbAnJVjcJKHFffPHFUfc599xzS6QtAAAAhUEACQAQVY5aTcVeuZ4Edm8Q7+rfxX38qVY3CShxd999t9hsNgkGg+Z+5O3QfQJIAACgNCOABACIKv1hrFlImb+9a6axuVqeYrYB8WbUqFHSokUL8fv90rdvXxk3bpw0adLE6mYBAADkCwEkAEDUuZqcJJmzP5bAns3i37xCnHVaWN0koMTVqFFD6tatawJIKjEx0dwHAAAoCyiiDQCIOps7SVyNu5jb3j9+tLo5QImz2+3i8XjM7QMHDpjrF154QXbs2GFxywAAAPKHABIAoES4Unuba9/fCyRwYLfVzQFKPPto6dKl5vbMmTMlOTlZdu/eLf369ZMPPvjA6uYBAAAcFQEkAECJcFStL46aTUSCfvGumG51c4AS9X//93/y7LPPyvnnny933nmnnH322fL666/LscceKw8//LCcd955VjcRAADgiKiBBAAoMa6WvcW/dbV4V/ws7rZnis3usLpJQIm49dZbpXz58rJkyRLp1auXXHPNNeJ2u+Wjjz6SiRMnysiRIwt0vJ07d8pTTz0lv/zyi2RmZkrHjh3lrrvukkaNGuW6/+rVq+WZZ56RRYsWmel0ur+uDFenTh3zuNZlatu2rTlWpCFDhshNN91UhHcOAABiBQEkAECJcR7XQWyJEyR4YLf41i0U13HtrW4SUCJcLpfceOONObbrioQXXXSRnH766QU6nh4rEAjIq6++aqbDvfjii3LFFVfIlClTJCkpKcu+OlXuyiuvlHbt2sm7775rajFp8Onqq6+Wzz//XBISEuTvv/82waMvv/xSqlatGn5uuXLlivCuAQBALCGABAAoMTaHS1zNu4tn4STxLptKAAlx44svvjjqPueee26+jrV3716zett1110nTZs2NdtuuOEGOeecc0ymUatWrbLs/8MPP0h6erqMGDHCrPymNBupZ8+eMn/+fOnSpYusXLnSZEg1b968UO8PAADEPgJIAIAS5WrRUzwLJ4t/4x8S2LtF7BVrWd0kIOp0uphmG6lgMJjjcX0svwGkihUrynPPPRe+v2vXLhk/frzUqlVLGjdunGN/DRCNGTMmHDxSOo1NpaWlmWsNIOU1/Q0AAEARQAIAlCh7heriOKaV+P9ZJJ5lP0lil4utbhIQdVrz6O233zYZQ1qrKFR7qKjuv/9+U0NJ6ymNHTs21yln9erVM5dIOvVNA0paC0mtWrVKfD6fDB48WFasWCE1a9aUQYMGmaymonA6i3+9FofDnuUa0UE/Rx99XDLo55JBP8dHHxNAAgCUOHdqL8n4Z5F4V/0qCR3PE5vTbXWTgKi67bbb5MILL5THH3/cBJO0/tC1115rAj9FoUEeraH0/vvvm7pIEyZMkJYtWx7xOVoH6b333pP77rtPqlSpYrbp1DetqTR06FCTyTRt2jQZPny4eL1es3JcYdjtNqlcOVmiJSUla60nRAf9HH30ccmgn0sG/RzbfWwL5pZHjRz8/oDs2nWgWI+pZ+V0YLV79wHx+QLFemwcRj9HH31cMmKpn4OBgBz46E4J7tshiT0Gi6tZNyktYqmfS6to9nGVKsml/uzn9OnT5cknnzTFrHVq26mnnlrkY2rw58wzz5TWrVubY+dGh3xabFszlf773//KLbfcEn7s4MGDZiU2Lcgd8uCDD8rs2bPlm2++KfTYKS0tQ4qb/n118KzH1tdAdNDP0Ucflwz6uWTQz2W7j/W4+Rk/kYEEAChxNrv9UC2k2Z+IR4tpl6IAEhBt3bt3l5NOOslMadMsnw8++EDuvffefNcg0ppHM2bMkNNOO02cTme4ppHWP9q2bVuuz9FMIn2t//3vf+ZaV2yLFFkfKUSn23311VdSFNEMwurgmSBv9NHP0Ucflwz6uWTQz7HdxwSQAACWcDXrLp65X0hg+1/i3/6XOKofZ3WTgKi5/PLLc92utYZ+//13U0B7yZIl+TrWjh075NZbb5XXX39dunXrFg4QLVu2THr37p3rc+688075/vvvTfHtM844I8tjWkj7lFNOMdlQAwYMCG/X9jRp0qQA7xIAAMQyAkgAAEvYk1LE2bCD+P6cKd5lU8XRY7DVTQKiJq+KAVqDKFSHKL80M0izmB577DFz0VXZXnnlFRMI0swinYqmWUoVKlQwmUWfffaZTJ482QSROnXqJNu3bw8fS/dJSUmRE088UUaOHClVq1aVBg0ayJQpU0z2kR4XAABAEUACAFjGldrnUADpz1mScOJAsSVEr+AuYCUtXF2cnn/+eZNNNGzYMNm3b5906NDBFNLW1d02bNggffr0MbWQNKNIp62pESNGmEuk0D5PPPGEjBo1ytQ92rlzp5lO99JLL4UznAAAACiinU8U0S676Ofoo49LRiz2s34FpX96vwR2bZCELheL+4TTrG5STPZzaRPvRbTjRTTGTop/oyWDfo4++rhk0M8lg36Oj/FToTOQNDU6lHK9detWWbhwoTlbpQUcAQDID5vNJq7U3pL56zviWfaTuI7va7YBsaZ58+ZH/GzrY1rDCAAAoLQqcABJBzdDhgyRzZs3S926dc3thx56yCz/qiuAaAq0FoIEACA/XI27SOasiRLcu0X8m5aLs26q1U0Cit2NN94YDiBpjaKxY8fKhRdeKDVq1LC6aQAAANEJID3yyCNSrlw5ue+++2TSpElmKdhTTz1VbrrpJhkzZoxZEYQAEgAgv2zuJHE1OckU0tYLASTEIh0nhYQCSBdddJG0bNnS0nYBAADkV4GLBKxcudJkHV1yySWmeKPWr7j00kvNMq/nnXeerF+/vqCHBADEOZ3Gpnx/z5fAgd1WNwcAAABAUQNIGRkZUqtWLXO7evXq5jo5OTm8FKzH4ynoIQEAcc5RpZ44ajUVCQbEu2Ka1c0BAAAAUBxFtLXWkQrN5afgKQCgOLKQ/FtWiXf5z+Jue6bY7IVe5wEodUaPHh2+rdnbOnb66KOPwjWQ9L7WSQIAACitCjU61wGO2+0O37/++uvF5XKRfQQAKDTnce3FlpQiwfQ94lu3UFzHdbC6SUBUAkghEydODN8mgAQAAGIugNS/f//otAQAENdsDpe4mnUXz8L/mWLaBJAQS1asWGF1EwAAAEo2gPTkk08W7RUBAMiDq0VP8SycJP6NyySwZ7PYK9W2uklAsdu3b59s27ZN6tevLw6Hw1wAAABKu0IXmJg+fbrMnj1b0tLSpHLlytKhQwfp1q1b8bYOABBX7BWqieOYVuL/Z5F4lv0kiSf9x+omAcVm1qxZ8uyzz8rSpUvNlLWPP/5YXnvtNbM4yd1332118wAAAIp3FTatc3T11VfLtddeK2+99ZZMnTpVXn/9dXP/yiuvpA4SAKBI3Km9zbV31a8S9GVa3RygWMyYMUMGDx4siYmJcvvtt5tC2qp58+byzjvvmDEVAABATAWQRo0aJfPmzZMRI0bI4sWL5ddff5VFixaZqW0LFy6UsWPHRqelAIC44Kh3gtgqVBfxpIvvz1lWNwcoFi+88IL06dNH3n33XRk0aFA4gKQLkeiJOc1GAgAAiKkA0v/+9z8ZMmSInH322eE5+06nU84991yz/euvv45GOwEAccJmt5taSMqz/CermwMUi+XLl8t5551nbuv0tUhdu3aVjRs3WtQyAACAKAWQdu3aJampqbk+ptu3bt1a0EMCAJCFq1k3EbtTAtv/Ev+2tVY3ByiyChUqyPbt23N9bPPmzeZxAACAmAogHXPMMWYKW27mzJkjtWuzYg4AoGjsSSnibNjR3NZi2kBZp9PXRo4cKUuWLAlv00ykLVu2yLhx46Rnz0NZdwAAADETQBo4cKC88sorpnC2njHzer3mWlcR0UsoPRsAgOIopu1bM1OCmQesbg5QJLfddptUrVpVLrzwwnCw6NZbb5XTTz/dBJL0NgAAQGnmLOgTLr74Ylm2bJlZhva5554Lb9dikP379zersQEAUFT2mo3FXqW+BHatF+/KX8Xd6jSrmwQUWsWKFU2h7C+++EJmzpwpe/bsMdPWLrvsMhkwYIAkJSVZ3UQAAIDiDSDZ7XZ5/PHH5aqrrpLZs2fL3r17zaCoU6dO0qhRo4IeDgCAXGlWhiu1t2T++rZ4lk8V1wmnis1W4MRZoNRwu90mA0kvAAAAMR9AUmlpaWa1EM1GUhs2bJBp06ZJjRo1KAIJACg2riZdJHPWRxLcu1X8G5eLs15Lq5sEFMro0aOPuo+uZgsAABAzAaQ1a9bIFVdcIS6XS6ZOnWq2rV+/Xp588kl5++23Zfz48VKnTp1otBUAEGdsrkRxNekq3mU/infZVAJIiNkAkmbcEUACAAClWYHnAjzzzDNSs2ZN+eCDD8LbunTpYjKQKlWqJCNGjCjuNgIA4phOY1O+dQskcGC31c0BCmXFihV5Xt577z2rmwcAAFD8AaT58+fLTTfdZIJIkXRlkeuvv94UhgQAoLg4qtQVR+1mIsGAeJf/bHVzgGKn2UcAAAAxF0DSQU5GRkauj/l8PvF6vcXRLgAAwlwteplr74ppEgz4rG4OAAAAEHcKXAOpY8eO8vLLL5tV16pUqRLersvRjhs3zmwHAKA4OY/rILakFAmm7xHf3wvE1bCj1U0CCuTyyy/P87H9+/eXaFsAAABKJIB02223meVn+/TpI23atDFBpN27d8vChQvN8rTPPfdcoRoCAEBebA6nuJp1F8/C/5li2gSQUNYEg8FCPQYAAFBmA0jHHXec/O9//zOrrWk9pE2bNkmFChVMUElXZ6tVq1Z0WgoAiGuuFj3Fs2iS+DctF/+eTeKoxIqfKDvefffdPB+bO3euXHbZZSXaHgAAgKgHkJQW0L7rrrsK81QAAArFXqGaOOq3Fv8/C8W77CdxnHSJ1U0CigVFtAEAQEwW0VYej0cmTJggQ4YMkYsuukjWrFkjH3zwgSxevLj4WwgAwL/cLXuba++qXyXozbS6OQAAAEDcKHAG0q5du2TQoEGydu1aadiwofz5559y8OBB+fnnn+Wpp54yU9vatm0bndYCAOKao97xYqtQXYL7tot3zUxxN+9hdZOAfGnevDmZRgAAIL4CSCNGjJADBw7I5MmTpW7dunL88ceb7S+99JIMHjzYXL/11lvRaCsAIM7ZbHZxp/aSzFkTDxXTbtadH+UoE2688UY+qwAAIL4CSD/99JPcc8890qBBA/H7/eHtCQkJctVVV8ndd99doOMFAgEZPXq0fPzxx7Jv3z7p2LGjPPDAA1K/fv1c99cV3x577DGZPn26GYidccYZcuedd0pSUlJ4n0mTJsnYsWNl/fr1Jsh17bXXyrnnnlvQtwoAKIWczbpJ5tzPJLBjnQS2/yWOGg2tbhJwVDfddJPVTQAAACjZAFJmZqZUqlQp18ccDod4vd4CHW/MmDGmnpJOf9MV3J555hm5+uqr5euvvxa3251j/6FDh0pGRoaZKpeWlib33nuvpKeny9NPP20enzlzpgko3X///dK1a1cTaBo+fLhUrlxZevRgqgMAlHX2xAribNhJfKt/F8+yqZJEAAllhNaQ/PTTT2X27NlmDKNjkw4dOpiTXImJiVY3DwAAoHiLaJ9wwgkm4JMbDfqEprTldyD15ptvmqBQz549TX2AkSNHypYtW2TKlCk59l+wYIEZdGmwqGXLltKlSxd55JFH5Msvv5StW7eafX788Udp1qyZDBw40GQxXXLJJea4v/zyS0HfKgCglHKnHiqm7VszS4IH91vdHOCoNGB04YUXysMPPyyLFi2S/fv3y/z58+Whhx6SCy64wGRhAwAAxFQA6eabb5bffvtNzjnnHHnxxRfNNLL//e9/cv3118u3335r5vjn14oVK0w9JQ0EhaSkpEhqaqrMmTMnx/5z586V6tWrS6NGjcLbOnXqZNowb948c79q1aqyevVqk4kUDAZl1qxZZpW4Vq1aFfStAgBKKXuNRmKveoyI32tWZANKu+eee86cIHvvvfdk6tSp8tFHH5lrvb9z504zpgIAAIipAJKmWmuRbK059Prrr5sgjU4n2759u7zyyity4okn5vtYOpBStWvXzrK9Ro0a4cciaZZR9n11mptOqdu8ebO5f9lll0m3bt3MSnGapXT55ZfLlVdeKWeffXZB3yoAoJTSEweuf7OQPMt+kmAwYHWTgCPSDOlbbrnFjKMi6X3NxM4t8xoAAKBM10BSWuj6ww8/lIMHD8revXulfPnykpycXODjaC0jlb3WkRbk1uPmtn9udZF0f63NpDSQpIW2tRB3u3btTCaSTovT6Wznn3++FIXTWeB42xE5HPYs14gO+jn66OOSQT9n5Wh+kmTO+kiCaVtFtqwQZ/3ji+e49HPUxWMfa8Z1XguE6PY9e/aUeJsAAACiHkBat26dLFu2zEw109XYvv/+exOoadKkiVx00UX5XqY2VDBSayFFFo/UYFDkqmqR++u+2en+5cqVC69ycuaZZ5raR6pFixYmGKXFuQcMGCB2e+EGq3a7TSpXLniQLD9SUnK+VxQ/+jn66OOSQT+HJEugVU9Jm/uNBFb+LJVbdS7Wo9PP0RdPfdywYUOzkq0u8JGdbtfxFAAAQEwFkLRQ9t133y1+v1+cTqeZGvbZZ5+ZaWQaqNmwYYPcfvvt+TpWaDratm3b5Jhjjglv1/taCDs7XaXthx9+yLJNA0p61k6nve3atUvWrl1rCn1HatOmjYwdO9bsV6VKFSmMQCAoaWnpUpz0zKsOntPSMsTvZ/pFtNDP0Ucflwz6OReNu4vM/UbSV8+RnevXi7184f4fH4l+jr5o9rEetzRmNg0ePFhuu+02M34644wzpFq1arJjxw5TR3LixIny4IMPWt1EAACA4g0gvfzyy2bFNJ3HrwUg33//fRkyZIi56GOffPJJvgNIujqaTn/TQtehAJKuUqLZTZdeemmuU+eeffZZkwEVOlOnq7Kp9u3bS8WKFU3m0sqVK6V79+7h5+l9Lc5d2OBRiM8XnR8SOniO1rFxGP0cffRxyaCfI6TUFkftZuLfvFIylk6VhA4Diu3Q9HP0xVMf9+vXT/7++28ZN26cKQOgtI6kTs2/4YYbTAY3AABATAWQNm7cKPfcc4+ZrqYrsunqIaF0bA3waKZPfumgSQNFGhTS4E7dunXNVDPNNOrbt685S6dZRRUqVDDT11q3bm3qGg0bNswse5uenm5qHZ177rlSs2ZNc0wtmq1t0NXaNKikq7Npce+CrA4HACg7XKl9TADJu3yauNudLTZ7oWZnA1GngSId9yxYsMCcMNMTXzq20WsAAIDSrsCjbK/Xa6arqVDdoVBhay1mrUGfgtCVR3w+n9x3332mKLcGod544w1xuVxmOlyfPn3kySefNPWLtLbS6NGj5eGHHzarrOnrnX766TJ8+PDw8TSoVblyZRM00oLa9erVkzvuuEMGDhxY0LcKACgDnMe2E1tSigQz9orv7/niatjJ6iYBedKM6B49eljdDAAAgAIr1Gna7du3y6ZNm8LBIp3Dr/d1e0E5HA4T4NFLdhr80elnkapWrSovvfTSEY935ZVXmgsAIPbZHE5xNe8hngVfi3fZTwSQUCrptP0jLTKij+kUfgAAgJgKIGm9o0jXX399eC5/fldgAwCguLha9BTPwv+Jf9Ny8e/eJI7KdaxuEpCFTqUPjZH0BJxOt7/wwgvNIiAAAAAxGUDS6WQAAJQm9vJVxXlMG/GtWyDe5T+J46RLrG4SkMVNN90Uvh0KIGnh7JYtW1raLgAAgKgFkPr371/QpwAAEHWu1N6HAkgrf5WEjueLzZVgdZMAAACAmGG3ugEAABQHR72WYkupIeLNEO+amVY3BwAAAIgprHUMAIgJNptd3C16Seasj8T7x1RxNetOXT6UGrqKbEioZuRHH30UroGk97VOEgAAQGlFAAkAEDNczbpJ5txPJbBznQS2rxVHjUZWNwnIEUAKmThxYvg2ASQAAFDaEUACAMQMW2J5cTbsLL7Vv4ln2VRJIoCEUmLFihVWNwEAAMC6Gkj79u2TNWvWiMfjMSuKAABgNXdqL3PtWzNLggf3W90cwBg+fLisX7/e6mYAAACUbABp1qxZcsEFF0inTp3krLPOktWrV8ttt90mTz31VOFbAgBAMbDXaCT2qg1E/D7xrvrF6uYAxueffy67d++2uhkAAAAlF0CaMWOGDB48WBITE+X22283hSBV8+bN5Z133pG33nqr8K0BAKCItJaM698sJM+ynyQYDFjdJAAAACD+aiC98MIL0qdPH3nxxRfF5/PJM888Y7Zff/31kp6eLh9//LFceeWV0WgrAAD54mrcRTJnfiTBtG3i37hMnPWOt7pJgCmS7Xa78wx8/vDDDyXeJgAAgKgFkJYvXx5eJST78shdu3aVt99+u6CHBACgWNlcCeJq2lW8f/wg3j9+JICEUiE1NVWqVKlidTMAAABKJoBUoUIF2b59e66Pbd682TwOAIDVXKm9TQDJ989CCezfKfbyVa1uEuKcnoBr1aqV1c0ok7y+gPy8cKOsWLdbNu44IPvSveEyCogePVlMP0cXfVwy6OeSQT9HX+UKiVKnWjlpWr+S9GxTV1zOIq2LFv0Akk5fGzlypDRt2tScSQt9ULZs2SLjxo2Tnj17RqOdAAAUiKNyHXHUbi7+zSvEu/xnSeh4ntVNAorNzp07zeIlv/zyi2RmZkrHjh3lrrvukkaNGuW6vxbwfuyxx2T69Olm3HbGGWfInXfeKUlJSeF9vvnmGxk1apRs2LBBGjZsaI7XpUsXsdryv3fJ29+tlG27M8LbHOIXp5TuFYADYhdvwYfaObjEJ3axppZbfn8G+sxfxFHk13OLV2z5flVrFPd7Lc3vVj+/+jkuqgTxiNWO1s8ecUqwyO81KAnildIuU1z6C75Ix7BJQNziy7G9tH2eMyX3aeMFof//1f8Plxbbdnpk884DMm/ldvlx3gYZdFozaXFsyWU3F/hbTVdbW7RokVx44YVSrVo1s+3WW281AaTatWub2wAAlAaulr0PBZBWTBd3u3PE5ij6jzmgMJ588kmpX7++uZ2RkSH79++XSpUqiculA/nCZTMFAgF59dVXJTk52dSmvOKKK2TKlClZgkIhQ4cONa87fvx4SUtLk3vvvdfUrnz66afN4zNnzpQ77rjDBJW0JMEnn3wi1157rXzxxRd5BqVKwt9b0uTFTxaLx5c1gHJq0hL5v6TFUprNONhYPkw/qcjHOa/cbOmS+KeUZt9ktJJvM9oU+ThXVfhZWrg2S2n2wYEuMjOzSZGPc2vKZKnt3Cul2dh9fWSFt26Rj/NI5U8l0Va6AytP7j1btvgrFekYGjwaUeVDKe3u3DWwyIGVmo40GV7xKynNDgZdctfui4t8nKauzfLfCj9Kafz/7bbdGfLip4tl+CXtpUGtkpkJVuAwa8WKFU2h7Icfftic7TrppJOkWbNmZtDx2WefMbcfAFBqOI9tJ7akihLM2Cu+v+db3RzEsf79+8uaNWvMCbj27dtL9+7dzXS2iy66yARvCmLv3r1St25dk1Gkx9AAzw033CDbtm2T1atX59h/wYIFMnv2bBMsatmypckqeuSRR+TLL7+UrVu3mn1ee+01OeWUU+Tyyy83x9PsI93XytqWGZk+eSmX4BEAADjE4w3Ii58sMt+ZJaFQp2J1BREdAOkFAIDSymZ3iqtFD/HM/0q8y6aKq1Enq5uEODV//nyTIaRZSBrs0SxuDfhMmjRJrr76ann33Xelbdu2+T6Z99xzz4Xv79q1y2QW1apVSxo3bpxj/7lz50r16tWzZBJ16tTJTGWbN2+enH766aZ9d999d5bnde7c2WQ0WUXT8/fst37qCwAApdme/R6Zv2q7dD2hdukLII0ePfqIj+tgJLRKGwAAVnM17yGeBV+bqWz+3RvFUbno6fhAQb3wwgvSoUMHeeONN8ThOFw/ZciQITJ48GBTe+jNN98s8HHvv/9+mThxojm5N3bsWClXrlyOfTTLSMsMRNL9dQqdLoCiU9p0OpsGoCLVqFHDlCiwysxl1r02AABlycw/tpTeAJIGiVRuFdYJIAEAShNdfc3ZoK2ZwuZd9pM4ul5qdZMQh5YsWWKyhiKDR8put8ull15qpowVxqBBg8w0uPfff9+MvyZMmGCmnkXS2kcaMMouISHBFOA+ePCguZ99n9DjReEswuowu/cV7bUBAIgXu/ZlFuk7N2oBpIceesgUatS593rWq3Xr1tFpGQAAxcSV2vtQAGnVb5LQ6XyxuRKtbhLijBa69vlyr0+g2wu77HFoytrjjz9uFjl57733TMHuSImJieLx5JwKpsEhzVjSQJHKvo8+nltB7vyy221SuXJyoZ/vcJTs0sQAAJRVDoe9SN+5UQsgDRw4UPr162eCSHrG7MwzzzQFtCmeDQAorRx1U8WWUlOCaVvF++dMcbfoaXWTEGfatWtnVkzr1q1blqCMTh3T7Tq9Lb+05tGMGTPktNNOE6fTGc5k0mCS1lXKTqem/fDDD1m2abBoz549ZpqaTmXTQFL25+r9mjVrSmEFAkFJS0sv9PMrJrtlQ6GfDQBA/KiU7Jbduw8U+vkpKUn5OnFTqFM7KSkpJvvo008/lY0bN0rfvn1N8Ua/31+YwwEAEFU2m13cqYeCRlpMu7DZHkBh3XbbbfLXX39Jnz595J577pGRI0eaa135TLcPGzYs38fasWOH3HrrrSaIFOL1emXZsmVZCmWH6Kq5Wsto3bp14W26KpvSFeG0/IAGuELbQmbNmlWgwFZufL5AoS+dWxQ+eAUAQDzpnFqzSN+5+VWk3OCmTZvKO++8Y5aR1euzzz5bfv/996IcEgCAqHA17SbicElg5z8S2LbG6uYgzjRo0MAUu9bVz6ZNm2aKaeu13tftzZs3L9D4q3v37mb8NWfOHFm1apVZQU2LYetKb3pCb/v27eHaRlpuQANEGqRavHixzJw5Ux544AE599xzwxlGV155pVkR7q233pI1a9bIiBEjZPny5abGklXaN6sulcrnrN0EAAAOq1whQdo1rS4locBT2Hr37h0uop09FXrTpk1mJREdcAAAUJrYEsuLs1En8a36TTzLpkpSzZzLnQPRpNlBuhpbcXj++edNUW4NCu3bt89kCmkh7Tp16siGDRtMppPWQhowYIAZt+kiKA8//LAJCGnNo9NPP12GDx8ePt7JJ58sTzzxhIwZM8ZkR+l0uHHjxuWa0VRSkhKcMvT8VvLUe/PFU4CzowAAxAu3yy5Dz2tlvjNLQoFfRc+U5RZAAgCgtHOn9jEBJN/a2RLocrHYEytY3SSgUCpUqGAWNtFLdvXq1ZOVK1dm2Va1alV56aWXjnhMzUjSS2lybK0UufmC1vL2tytk2+4Mq5sDAECpUaNykgw6vbk0qFVy41lbkEIQ+eL3B2TXrsIXpcqNLrOnldK12FVB5h2iYOjn6KOPSwb9XHT6lZf++UMS2LFOEjpfKO7W/XLsQz9HXzT7uEqVZFbvisGxk9cXkGkLN8qKf/bIxu375UD6QXEEc1/VrrTwi118BT9Xm4NTfOIQa/5fpCeN8/NTQVvoF0eRX88lXrFL6f5pUlzv1S1esUkw331sBa84JVC0iidGguRcBbKkHa2fPeKUYJHfa1ASxCulXaa4tEeKdAybBMQtOf8fXNo+z5lS9GnQdgmIK5f3apUKFZKlZrUK0qx+JenZtq44i2nMk9/xU4G/1XSa2tFo+jQAAKWNDmxcqb0lc/pb4ln2k7hanW4KbAMo3VxOu5zSob65EOQtGfRz9NHHJYN+Lhn0c3z0cbHVQIpEDSQAQGnlanSiZM78UIL7tot/w1Jx1m9ldZMAAACAUq/AASQtsBgKIOkqH/fdd58MGTJE6tatG432AQBQrGyuBHE1PVm8S78X77KfCCChxGnR623btkn9+vXF4XCYCwAAQMwFkHQ1j5BQAKlXr17SsmXL4m4bAABR4UrtZQJIvn8WSmD/TrGXr2p1kxAHZs2aJc8++6wsXbrUnIz7+OOP5bXXXpNatWrJ3XffbXXzAAAAjojCDwCAuOOoVEccdVpoVW3xLv/Z6uYgDsyYMUMGDx4siYmJcvvtt4eLjDZv3lzeeecdeeutt6xuIgAAQPQDSEeriQQAQGmjxbSVd8U0CfpLz+oaiE0vvPCC9OnTR959910ZNGhQOIB0/fXXy9VXX22ykQAAAGJqCtvw4cNzbBs1apRUqlQpHEzSOkkAAJRmzmPbiq1cJQmm7xHf3/PE1aiz1U1CDNMFRm688cZcT7x17dpV3n77bYtaBgAAEKUAks7fj1SnTh1ZuXJl+D7ZSACAssBmd4qreQ/xzP9SvMumEkBCVFWoUEG2b9+e62ObN282jwMAAMRUAGnq1KnRaQkAACXMBJAWfC3+zSvFv2ujOKqwoiiiQ6evjRw5Upo2bSqpqanhk25btmyRcePGSc+ePa1uIgAAQHRqIAUCAVmxYoVMnz5d9u/fL3v27CnsoQAAsIS9fBVxNmhrbmsWEhAtt912m1StWlUuvPDCcLDo1ltvldNPP90EkvQ2AABATGUgqS+//FKee+452bZtmxn0fPLJJ6YOksvlMtvdbnfxtxQAgChwpfYyNZC8q3+ThM4XiDjLWd0kxKCKFSuaQtlffPGFzJw505x402lrl112mQwYMECSkpKsbiIAAEDxBpAmT54sd911l5x99tnSq1cvGTZsmNl+6qmnysMPPyxjxoyRW265paCHBQDAEo66qWKrWFOCe7eKd/UMcbXqY3WTEKP0BJtmIOkFAAAg5gNIOk9/4MCB8tBDD4nf7w9vP++882TXrl0yceJEAkgAgDLDZrOLu0UvyZz5oXiXT5XgCb2tbhJi0OjRo4/4uGZ0h1ZpAwAAiIkA0l9//WUykHLTunVrM5UNAICyxNX0ZMmc86kEdq4X/9Y/Raq0sbpJiMEAUmil2mAwmONxAkgAACDmimhrAcg1a9bk+phu18cBAChLbInlxdmos7mdufRHq5uDGKSZ25UqVZKWLVvKRx99ZBYiibwsX77c6iYCAAAUbwCpX79+8tJLL8m3334rHo8nfNZs6dKlpv6RriYCAEBZ4049NHXN8+ds8aenWd0cxBid/v/dd9+ZbO1LL71Uhg8fbqb+AwAAxGwASesbtWnTxly3b9/ebNMVRC644AI59thj5eabb45GOwEAiCpHjYZir3asSMAn+xZNtbo5iEEpKSly//33y6effiobN26Uvn37yvjx47PUlAQAAIiZGki6gsjrr78uv/32m8yYMUP27t1rlqHt1KmT9OjRIzy/HwCAspiFdHD6m7J37jdSoUmvwpxnAY6qadOm8s4775hs7hEjRsjHH38s9957r5x00klWNw0AAKD4AkghXbt2NRcAAGKFs/GJYpvzifjTdojnz1niaNTF6iYhRvTu3TvXk2xaDmDTpk0yePBg6iABAIDYCiDpnP0j0cHRE088UZQ2AQBgCZvTLQmt+srBWZ9I5oLJktTwRDJrUSw0U5vPEgAAiKsA0qxZs7Lc379/vxw8eFCqVatm7jM4AgCUZQkt+0jmgv+Jf9d68a9fIs5jWlndJMSAp556yuomAAAAlGwAaerUrIVFf/jhB7nvvvtybAcAoCyyJyZLSttTZe+sr8WzaBIBJBQLnaZ2NHXq1CmRtgAAAJRoDaQQXYlNC2lv3rxZateuXdTDAQBguYqdzpK9cyaLf/NK8W9bI44ajaxuEsq4vGogRaIGEgAAiOkAUnp6ugSDQXMNAEAscKZUFXfTk8Sz4hfxLJwsSX1vsrpJKOO0PmQogOT3+0329pAhQ6Ru3bpWNw0AACA6AaRQCrYOfrZs2SIvvviiqX90zDHHFPRQAACUWolt+pkAku/v+RLYs1nslciyReENGDAgfDsUQOrVq5e0bNnS0nYBAABELYAUmYKtmUcVK1aUkSNHisvlKuihAAAotRxV6orjmDbi/2eheBZ/K4ndr7S6SQAAAEDZCSCFUrDtdrtUrVpV2rZtK8nJydFpHQAAFnK36ScZ/ywU76rfxN2hv9jLVbK6SYghrFwLAABiOoCkKdhbt26VefPmyY4dO+T777832wOBgGRkZMjcuXNNRhIAAGWds1ZTsddsLIGtf4p3yRRJ6Hyh1U1CGTV8+PAc20aNGiWVKlUKB5P0JB0AAEDMBJC+/fZbuf322838/RCdyhY6i9awYcPibSEAABZyt+4nB6e8JJ5lP4m77VlicydZ3SSUQbNmzcpyv06dOrJy5crwfbKRAABAzAWQxo0bZwo+Pvjgg/L++++bQNI111wj06ZNk+eff17uueee6LQUAAALOBu0EXulOhLYs0m8y38yASWgoKZOnWp1EwAAAIrEXtAn/PXXXyZglJqaKp07d5YVK1ZIo0aN5KqrrpLLL7/cBJgAAIgVNptd3K3/z9z2LJkiQb/X6iahDNMp/zp2mj59uuzfv1/27NljdZMAAACiE0DS4tm68ppq0KCBrF271gyGVPfu3eXPP/8s6CEBACjVnI1PFFu5ShJM3yO+1TOsbg7KqC+//FJ69uwp5557rlx33XWybt06ufvuu+Wmm24Sj8djdfMAAACKN4CkNY7mz58fvq0DHj2TptLS0hgAAQBijs3hEvcJp5nbnsXfSDB46MQJkF+TJ0+Wu+66S0488USz2IjWj1SnnnqqKQMwZswYq5sIAABQvAGkgQMHyosvvmgGPxUqVDADIV1Z5N1335XnnnvO1EcqCM1eeumll6Rbt27Spk0bMz1u/fr1ee6/e/duue2226Rjx47SqVMnefjhh83qb5EWL14sl1xyibRq1Up69Ohhjh/KkgIAoDBcLXqKuJMksGez+NYttLo5KGN0ir+OoUaMGCF9+/YNbz/vvPNMBtKkSZMsbR8AAECxB5AuuOACuffee8OZRo888ohkZmbK448/Lj6fzzxWEHrGbcKECfLoo4/Khx9+aAI9V199dZ6ZTEOHDjUp3+PHjzeBLD1r99BDD2Wp0aS1mLQu01dffWWKeuu+b7zxRkHfKgAAYbr6mju1t7ntWTQ5nEEC5IeOTzTbKDetW7eWrVu3lnibAAAAoroKm9LsnpBjjjlGvvnmG5MZVKVKlQIdR4NEb775ptx+++2mJoDSzCbNRpoyZYqceeaZWfZfsGCBzJ4926SBa4AoFMDSgNOtt94qNWvWlFdeeUUaN25sMpN0Sdxjjz3WLJMbmnYHAEBhuY4/VTyLv5PA1j/Fv3W1OGs1tbpJKCOqVq0qa9aska5du+Z4TLfr4wAAADGVgbRp06Ycl82bN8vBgwfD9/NLaycdOHBAunTpEt6WkpJiVnibM2dOjv3nzp0r1atXDwePlE5j00DRvHnzzP1ff/3VBJ50W2TW0tixYwv6VgEAyMJerpK4mh4KAHgWMuUI+devXz8zpf7bb78NZ1nrWGXp0qUmG/v000+3uokAAADFm4HUu3fvLMGZ3Cxfvjxfx9qyZYu5rl27dpbtNWrUCD8WSdO7s+/rdrulUqVKJoily+Fu377d1GbSqWu6RK4GpHS1k8GDB4vD4chXuwAAyIu71f+Jd8V08f+zSPy7NoqjSl2rm4Qy4JZbbpFVq1aZa13RVl122WWSnp4uHTp0kJtvvtnqJgIAABRvAOmJJ54IB5D8fr/cd999MmTIEKlbt+AD6FDxaw0CRUpISJC9e/fmun/2fUP7ax0mDSCpp59+2tRBeu2110wwS+sz6QBNB21F4XQWOGHriBwOe5ZrRAf9HH30ccmgn0tJP1erI56G7cW7dq74lnwjCX2uLdkGxoB4/Czr+OX111+X3377TWbMmGHGOXrCSzOpdcGPo52cAwAAKHMBpAEDBoRvhwJIvXr1KvDqayoxMdFcayp36LbSYFBSUlKu++dWXFv3L1eunDidh97OSSedZIJaqkWLFrJr1y55+eWXzdm9wg7Q7HabVK6cLNGQkpLzvaL40c/RRx+XDPrZ+n5O6n6ebFo7VzyrZ0itvpeLM4X6NYURj59lrYGUWx0kAACAmCyiXVxC09G2bdtminGH6P1mzZrl2L9WrVryww8/ZNmmAaU9e/aYaW+VK1c22UhNm2YtatqkSROTgaSBpMIWqQwEgpKWli7FSc+86uA5LS1D/P5AsR4bh9HP0Ucflwz6uRT1c7m64qzTXHybVsjW6Z9Jua7/KelmlmnR/CzrcUtjZtPw4cOP+Lie4NIsbwAAgJgOIBU2q6d58+ZSvnx5mTVrVjiAlJaWJsuWLZNLL700x/4dO3aUZ599VtatWycNGjQw23RVNtW+fXtT46hdu3ayaNGiLM/TVdi0FpLWSioKny86P9h08BytY+Mw+jn66OOSQT+Xjn52tepnAkiZy34WV5uzxJYQnSzVWBZPn2Ud60TSafe6AEm1atXMfaawAQCAmAsg5XYGbdSoUeHgTEHOoGk9AA0UaVCoSpUqpo7SM888YzKN+vbta6bIadaQ1gjQ6WutW7c2AaJhw4bJQw89ZLKKHnjgAVMku2bNmuaY//3vf+XKK680bTrnnHPM6iavvvqqXHHFFRTRBgAUG0f9E8RepZ4Edm0Qz7KpktD2LKubhFJs6tSpWe5rRrWWAci+HQAAIGYCSNnPoNWpU8dk+IQU9Aza0KFDxefzmUGUnonTLKM33nhDXC6XbNiwQfr06SNPPvmkqb2kxx49erQ8/PDDMmjQIDNdTZe9jQxqde7cWV555RUZOXKkua5evbpce+21cvXVVxf0rQIAkCf9TnK37icHf3pVvEu/F/cJp4nNmXOhByA3mjmthbR1FdnsK8wCAADERACpuM+UaVbQHXfcYS7Z1atXL0twSmkNo5deeumIx+zWrZu5AAAQTc5GncQ251MJ7t8p3lW/iTu1l9VNQhmhWdTBYNBcAwAAxEUNpMWLF5tMIS163ahRo+JpFQAAZYDN7jSZR5kzJohn8bfiat5DbPbSV8AZ1tu0aZO51un5W7ZskRdffNHUP4pcRAQAACAmAkjz58+X9957T7xer1xwwQVmCdpbbrnFzOHXM2iayj9w4EB58MEHo9tiAABKEQ0aZc7/UoJpW8X39zxxNexodZNQCvXu3Ts8zV/HTRUrVjTT7XXKPgAAQMwEkDTL6PLLLzeFrrWg9fXXX2+KXP/4448yePBgM4//999/lwkTJphMJA0kAQAQD2yuBHG37COe+V+JZ9FkcR7XgRW1kIMuMKKfC7vdbqbjt23bVpKTWbkPAADEWADphRdekBNPPFHGjh1rzpTpGTNd2eySSy6R22+/3ezTq1cvUwz7o48+IoAEAIgrrpaniGfRtxLY/pf4Ny0XZ91Uq5uEUkYXA9m6davMmzdPduzYId9//73ZHggEJCMjQ+bOnWvGVwAAAGU6gLRs2TJ5+umnw2nWl112mVnhrEePHjnSsz/77LPotBQAgFLKnpQirmbdxLvsx0NZSASQkM23335rTrppDaSQUAkA1bBhQwtbBwAAcHT5qvSpA5xIOm9fiz5mX3b2wIEDUq5cufwcEgCAmOJudZqIzSb+DUvFv2Od1c1BKTNu3Dhp2bKlfPrppyYb6ZxzzpFJkyaZVWh1Rdp77rnH6iYCAAAUPYDUpEkTmThxYvi+ZiJNmTJFGjduHN6m09fGjx9vBkcAAMQbe0oNcTbsZG57Fn9jdXNQyvz1119yzTXXSGpqqnTu3FlWrFhhVq+96qqrTJ1JDTABAACU+QDSddddJ1OnTpWLL7441ylquhKbrsz2xx9/yE033RSNdgIAUOq5W/cz1741syWwb7vVzUEposWzNYNbNWjQQNauXWvqH6nu3bvLn3/+aXELAQAAiiGA1K1bN1NAW6eohYo+RtJ6SPv27TOFtVu3bp2fQwIAEHMc1RqIo25LkWBAPIu/s7o5KEW0xtH8+fPDtz0ej8lCUmlpaeY+AABAmS+irXr27GkumZmZOR57/vnnpV69eixbDACIe5qFlLHxD/GumC7u9ueIPbGC1U1CKaAr1D744IOSnp4uw4YNM6vbDh8+XM4//3x57733KAEAAABiIwMpUkJCQo5t9evXJ3gEAIBmIdVNFXu1BiJ+j3iX/mB1c1BK6FT/e++9N5xp9Mgjj5iTco8//ripI6mPFcSePXvkgQceMNPf2rVrZ8oMzJ07N9d97777bmnWrFmul9GjR4f369u3b47H9bkAAAAFykACAABHpydU3K3PkIM/jhHvHz+ajCSbK+fJF8SfSy65JHxbV7P95ptvZPfu3VKlSpUCH+vWW2+V7du3myzwqlWryrvvviuDBw+Wzz//3EyRi6TBqdtuuy3LtieffFJmz55tAltKM6PWr19vyhJEZkMlJiYW4p0CAIBYRAAJAIBi5jyuvdgqVJfgvu3iXTld3MefanWTYLFNmzYd9bE6derk61jr1q2T3377TSZMmCDt27c32+6//3755Zdf5Ouvv5abb745y/4VKlQwlxBdGGXy5Mny9ttvS82aNc02LeKtRb3btm0bLvYNAAAQiQASAADFzGZ3iLv1/0nmr++IZ/G34krtbbYhfvXu3fuo0/2XL1+er2NVrlzZLFxywgknhLfpsfWiBbmPJDRt7rzzzpPOnTuHt69cuVKqVatG8AgAAOSJABIAAFHganqyeOZ+LsH9O8W3dra4Gnexukmw0BNPPBEOIPn9frnvvvtkyJAhUrdu3QIfKyUlRXr06JFl23fffWcyk+65554jPvfjjz+WHTt2yC233JJluwaQypUrJ0OHDjWrxWmQSoNMl19+udjtBS6ZGeZ0Fv65eXE47FmuER30c/TRxyWDfi4Z9HN89DEBJAAAosDmdIvr+FPFM/cz8SyaLM5GJ7LgRBwbMGBA+HYogNSrV69iWX1NAz66opsWwdYVc/OiU9R02prWPapevXqWx1avXm2yl0477TS58cYbZd68efLMM8/I3r17c0yJyy+73SaVKydLtKSkJEXt2DiMfo4++rhk0M8lg36O7T4mgAQAQJS4U3uLZ+EkCexcL/4NS8VZ//CUI6A4/PDDD3L77bebldieffbZowaa/vnnH7NiW3avvfaamd4WqpWkK7Dt379fxo4dKzfddFOhspACgaCkpaVLcdMzrzp4TkvLEL8/UOzHxyH0c/TRxyWDfi4Z9HPZ7mM9bn4ymwggAQAQJbbE8uJq3kO8S6ccykIigIQIRc1Ie++990w9o9NPP12efvppcbvdR9z/+++/l9TUVGnUqFGOx/S52Z/ftGlTszqbZiHplLbC8Pmi9yNCB8/RPD4OoZ+jjz4uGfRzyaCfY7uPCSABABBF7lanifePH8W/abn4t60VR42sS6wjPugUs+xGjRollSpVCgeTtE5SfukKbI8++qhcdtllcu+99+YrGDVnzhzp0iVnLa5gMCinnnqqnHvuuaYuU8iSJUvMVLfCBo8AAEBsIYAEAEAU2ctXFWfjzuJb/bvJQko69fAPdMSPWbNmZblfp04dU7i6MNlIf/31lwk2adDnuuuuM0WxQxITEyUhIcFkDemKaqGsIq27tGrVKrniiityHE9fW4/1xhtvSMOGDeX444+XGTNmyOuvv26CUwAAAIoAEgAAUeZu/X8mgOT7a54E9m4Ve8WaVjcJJWzq1KnFdixdcc3r9ZopaXqJ1L9/f3PR1dPeeecd6dy5s9m+Z88e85xQxlN2t912m5QvX16ef/552bJli9SrV88Ejy688MJiazcAACjbCCABABBljir1xVG/lfjXLxbP4m8ksVvOLBDEl8WLF8uGDRtMsercahIdyfXXX28uRxKZ3aSqVq2aY1skp9NpVl/TCwAAQG4IIAEAUALcbc6QjPWLxbvqV3G37y/2chWtbhJKgK58psWuNfvnggsukK5du8ott9xiVk/T2kM6fWzgwIHy4IMPWt1UAACAIyKABABACXDUair2Gg0lsG2teJd+Lwmdzre6SSiBLCOdSlalShWpUKGCyRrq27ev/PjjjzJ48GBp3769/P7776YgtmYiaSAJAACgtLJb3QAAAOKBZpq4W59hbnuWTZWgJ8PqJiHKXnjhBTnxxBNNwGjSpElyzTXXmPpF//nPf+T222+XXr16hesMffTRR1Y3FwAA4IgIIAEAUEKcx7YVW8VaIp508a6YZnVzEGXLli2Tyy67TFwul7mvt3XaWo8ePbLs17t3b1m7dq1FrQQAAMgfAkgAAJQQm81uVmRTniXfSdDvs7pJiCINFkWqWLGiHHPMMVK7du0s2w8cOCDlypUr4dYBAAAUDAEkAABKkKvJSWJLqijBA7vFt2am1c1BFDVp0kQmTpwYvq+ZSFOmTJHGjRuHt/l8Phk/fry0bNnSolYCAADkDwEkAABKkM3hEtcJfc1tz6LJEgwGrG4SouS6666TqVOnysUXXyyfffZZjsd1JTZdme2PP/6Qm266yZI2AgAA5BcBJAAASpg7tZeIK0kCuzeJ/59FVjcHUdKtWzcZO3asmaL2/fff53j8lVdekX379smrr74qrVu3tqSNAAAA+eXM954AAKBY2NzlTBBJM5A8i74RZ4O2VjcJUdKzZ09zyczMzPHY888/L/Xq1TMr9AEAAJR2ZCABAGAB1/Gnitid4t+ySvxbVlvdHERZQkJCjm3169cneAQAAMoMAkgAAFjAnlzZFNRWmokEAAAAlGYEkAAAsIir9ek6oU186xaIf/cmq5sDAAAA5IkAEgAAFnFUqiPOYw/VP/Iu/sbq5gAAAAB5IoAEAICF3K37mWvv6t8lcGC31c0BAAAAckUACQAACzlqNhZHraYiAb94lnxndXMAAACAXDlz34yS8OviTbJi/V7xeHwSDGoVjH/9e+PwuiyHboUWasm5X9YHQo8fXtglr+f/uz2P183ruNlfN7cFZA6/VuGOkaPtObaH7h/5PegTHHabJCcniCfTa7Y7HHazLXyJvO/Q63/vO2zijLhtDz/H/u9jh2/rdlbSAVBY7jb9JOPbVeJd/rMktD1LbAnJVjcJAAAAyIIAkoU+/mmN7N6XaXUzUEzsGqz6N5iUe3DqyIGqcIAqfIzDwSkTyIo8tsMefj1nAV4nfNxcXoeAGGAdR/1WYq9cVwK7N4pn+U+S0OZMq5sEAAAAZEEAyULDLmwt63ekS3qGR/z+4KGNmoqkV5Ll7r/bQvtkuZJg5E4RzwlvzXbMAj//31vZdovYL/d2Hb5fTM/Po/1599mhGxoIcTgdkpHhFa8/IH69BIISCATNdei+z9zWbYfuR94OZHs8+3tRgWBQAr6geCU2aIDKBLXCwaW8A1VOp12Sk1xSvWKi1K6aLHWrJUvd6smSnOiy+m0AZYLNZje1kA7+/Jp4l3wv7uP7is3ptrpZAAAAQBgBJAsdWztF2qbWlt27D4jPF7C6OTFLgxuVKycXaz9rsChnsOlwMOrwRQNWRw5URQaycg9iRRwnP68b8TrZg2R5tSPPgJg/KD6/SGHz5CpXSDDBpHrVy5uAkl40wJTgchT1TwDEHGejzmKb86kED+wyBbXdLXpa3SQAAAAgjAASUNjsHKdNXDFSh94EiyICSkcNZGULkGlxKZvDIavX7ZL12/bLhu37ZVdappmiqZelf+0Kv5ZOjKteOenfLKXyUk8DS9WSpWaVcuJ0xEZ/AoVhczjFfcJpkjnzA/Es/lZczbqLzc6/CQAAAJQOBJAAHAqI6VQ1kxjkKHSWV7vGVcNZXukHfbJpxwHZsGO/bNx+QDZu18DSAdmf4ZVtuzPMZcHqHeFj6FS42lXLmaBSaAqc3q5WMdG0D4gHrubdJXP+lxLcu0V86+aL67gOVjcJAAAAMAggAYiKcolOaVyvorlESjvgORRM2nHgcGBpxwHJ9PhNgEkvkdwu+6GAUrXD0+B0SlzFZDeFvhFzbO4kcbfsI54FX4tn4WRxHtuezzkAAABKBQJIAEpUSrJbUpKrSItjq4S3aSH3nWkHDwWUTGDpUNbSpp3p4vEG5K/N+8wlUnKi81C2kgaU/p0OR+FuxALX8aeKZ/E3Eti+VvybV4qzTnOrmwQAAAAQQAJgPc2wqFYxyVxaN64W3q41lnSqW2RgSTOUtu5OlwMHfbJq/R5ziVSpvDvLNDjNVqqjhbvdFO5G2WBPShFX027iXf6TeBZNJoAEAACAUoEAEoBSy2G3m1Xb9BJZCcbr88vmnekmsHS4xtIBk8W0Z79H9uzfJX9kL9xdKSk8BS40Ha4WhbtRSrlbnS7eFT+Lf/1i8e9cL46q9a1uEgAAAOIcASQAZY7L6ZBjalYwl0gZmYcKd2u2kq4EF6qxlJbulW17Mswle+FuDSKFCnYfmgqXLNUqJVG4G5ayV6wpzuM6iG/tHJOFlNT7OqubBAAAgDhHAAlAzEhKcEqjuhXNJUfh7lBtpVDx7h37JSPTf+j+jgMiy7dlKdyt095C2Ur1/g0w6fQ4ChqjpLhb9zMBJN+aWRLoeJ7YKxye3gkAAACUNAJIAOKkcLdbWjSonKVw9+59maamkgaTzHS47ftl045Dhbv/3rLPXCKVS3CG6yodCi4dCiyVT6JwN4qfo/px4qjTQvyblotnyXeSeNIlVjcJAAAAcYwAEoC4pJlEVVISzaVVo6rh7YFA0Ex1C60Et+HfzKWtuzIkPdMnqzfsNZdIFcu7D68E9+91nWrlJNHN/2JRNO42Z0jGpuXiXTFNEtqdI7bE8lY3CQAAAHGKXzcAEMH+b10kvbRvdni71xeQLbvSs0yD04ylHXsPyt79HnP54+/dWY5VvVJiuGC3yVyqVl5qVaVwN/LPUbel2KseI4Gd/4hn2Y8miAQAAABYgQASAOSDy2mX+jXKm0uOwt07/62rFDEdbu8Bj2zfc9BcFv6ZtXB3TS3c/W/B7tB0uOoVk0zwCsieKae1kA5OHSfepT+Y1dlszgSrmwUAAIA4RAAJAIpauLtORXOJtC/dY1aEO1Rj6dA0OL0dWilOL3NWHN7f7bRL7WrJh6fC/VtjqXKFBAp3xzlnw45im/OJBPftEO/KX8Xdso/VTQIAAEAcIoAEAFFQoZxbmh2jl5yFu8MrwWlQaccB2bzjgHh8AVm3ZZ+5ZA9QHZr+liz1a1aQE1vVkQoJDgveEaxiszvEfcLpkvn7e+JZ/K24WvQ02wAAAICSRAAJACwo3H1Cw6yFu7fvzQgHlUIBJq25pBlLf27Yay7q/e9XycA+TaRPu7pkJsURV/Nu4pn3hQT3bRffX3PF1aiz1U0CAABAnCGABAAW09pHNSuXM5d2TatnKdy9dVe6bPi3rtLaTWmyfN1umfD9Kvl7c5oMOr2ZuJxkosQDrXvkOv4UE0TyLJwszoadCCACAACgRBFAAoBSXLi7Xo3y5qIcDpv8snSrvPnVH/L70i2yeecBubH/CSajCbHP3fIU8SyaLIGd68S/8Q9x1jve6iYBAAAgjrCWNACUEZpxck73RnLHf9pKcqJT/tq8Tx55e254ehtimy2xvLia9zC3PYu+sbo5AAAAiDOWB5ACgYC89NJL0q1bN2nTpo1cc801sn79+jz33717t9x2223SsWNH6dSpkzz88MOSkZGR674ej0fOOussufvuu6P4DgCgZLU8rorcf0VHqVc9WdIOeOTpCfNl2sKNVjcLJcB9Ql+tqm0ykPzb/7a6OQAAAIgjlgeQxowZIxMmTJBHH31UPvzwQxNQuvrqq03wJzdDhw6VdevWyfjx4+XFF1+UadOmyUMPPZTrviNGjJBVq1ZF+R0AQMmrUSlJ7rmsvXRoVl38gaC8/e1KeXfKSvH5A1Y3DVFkr1BdnP8W0NbpbAAAAEBcBJA0SPTmm2+aoFDPnj2lefPmMnLkSNmyZYtMmTIlx/4LFiyQ2bNny9NPPy0tW7aULl26yCOP/H97dwLeVJn2f/yXpWlLS6FFNtl3KEvZEQVERUQcEdRRUZZBGZf3HXdnHBRZRxwVtxnHHUQURB1ERUEUFcUFaCn7vi+yFGhLobRN0+R/neO/lQr2BW3OSdLv57pyJTk5DXdu0vBw53nuZ4I+/PBDHTx4sNS5ixcv1vz589WsWTMLXxEAWCfG49YdA9toUK/GMtopf5X+oybPWmnOSkLk8qRcbl77dqTKn5NhdzgAAACoIGwtIG3cuFG5ublmIahYQkKCkpOTlZqaesr5aWlpql69upo0aVJyzFjGZvQFWb58ecmxzMxMjRo1ypzVlJiYaMErAQB7GJ9/V57fUHde004xHpc278nWhDdStevAMbtDQ5C4qtWXq15bKRCQd/WndocDAACACsLWXdiMmUaG2rVrlzpeo0aNksdOZswy+uW5Ho9HVatW1f79+0uOPfzww7rooot08cUX6/XXXy+3eN3u8q23uVzOUtcIDvIcfOTY/jx3blVD51aP07PvrtKBzBOa9NZyjfxDsrq3qWVDpOEtHN7PsR3/oON71qhw02JV6nq1nJUSFE7CIccAAAAIoQJScfNrowh0sujoaB09evS05//y3OLzCwoKzNtGH6Vt27bpqaeeKtdYnU6HEhPjFAwJCbFBeV6URp6Djxzbm2fjM+qZ+3rrqRnLlbbhoF78YK0OZudr2BXJcjmNRW6IlPdzoGonFS5rqoL9W+XYskiJvQcrHIVyjgEAABBCBaSYmJiSXkjFtw1GMSg29tRBpXHO6ZprG+dXqlRJ27dv15NPPqkpU6aY98uT3x9QTs6Jcn1O45tXY/Cck5OnIhrfBg15Dj5yHFp5/sugNpqdGKu53+/U+4u2asvuLP3PoDaKi42yNN5wFS7vZ3e7y1Ww/986mjZfSu4rR9TP/45W5Bwbz8vMJgAAgAgrIBUvR8vIyFD9+vVLjhv3W7Roccr5tWrV0sKFC0sdMwpK2dnZ5rK3efPmmT2VRowYUfJ4fn6+0tPTtWDBArMJ9+/h8wXnPxLG4DlYz42fkefgI8ehk2ejsXad6nGaOm+D1mw/orFTl+nOq9uqTvV4y+IMd6H+fnbU6yBHlZoKHD2ovLVfydP2MoWbUM8xAAAAfmbrV3TGrmvx8fFaunRpybGcnBytX79eXbp0OeV845jRG2nXrl0lx4xd2QydOnXSkCFDzELRBx98UHJp06aN2QvJuA0AFUnXVjX10JBOqpYQo4ysPP3jzeVasfmQ3WGhnDicTnna/bQjm3f1AgX8PrtDAgAAQASztYBk9DMyij6TJ0/WF198Ye7Kdu+995ozjfr27auioiIdOnTInEVkSElJUceOHc1zVq9erSVLlmjMmDEaOHCgatasaTbTbtCgQamLsewtLi7OvA0AFU39mpX1yJ86q2X9qirwFunf76/Rh9/ukD8QsDs0lIOoZufLEZugQG6mfFt//jIGAAAAKG+2Nwm46667dO2112r06NEaPHiwXC6X2cMoKirK3FmtR48e5tK04u2qn3/+edWtW1fDhw/XPffco169emncuHF2vwwACFkJlTy67/r2uqRTXfO+UUD6z/trlFfAjJVw53B7FNWmr3nbu2q+AhQGAQAAECSOAKPNM+7TkJmZW67P6XY7zV2TsrJy6QERROQ5+Mhx+OR58ep9enPBJvmKAqpzTpzuvKataiSW76YD4S7c3s+Bglwdn3m/VJiv2H73yl0/RRU5x0lJcTTRjuCxUzj+joYr8hx85Nga5Nka5LlijJ8YYQFABdKz3bl68MaOqhLv0Y+HczXxjTSt25Fpd1j4HRzRcYpq1du87V3104xdAAAAoLxRQAKACqZJnSoaM7yLGp+boNx8n55+d6U+Xbqb5U9hzGMsY3O6VLR/k4oObrU7HAAAAEQgCkgAUAElVo7Wgzd2UI+2tWXUjd79aqte+3i9vIVFdoeG38AZnyR30+4lvZAAAACA8kYBCQAqqCi3SyP6t9RNlzaX0+HQD+sO6rEZ6crM+WnnS4QXT8rl5rVvZ7r82fvtDgcAAAARhgISAFRgxu6Wxu5s99/QXvGxUdp14JgmTEvV5j3ZdoeGs+RKrCNX/fZGW215VzMLCQAAAOWLAhIAQK0aJGrM8M6qVyNeOScK9eTbK/TVih/tDgtnydP+CvO6cPP38p+gCAgAAIDyQwEJAGA6p2qsHhrSSV1a1lCRP6A3F2zSG59ulK+IrVjDhbtWM7lqNpP8PhWu+czucBBE2dnZGjNmjHr16qWOHTtq8ODBSktL+9XzX3zxRbVo0eKUy8lmzJihSy65RO3atdONN96o9evXW/BKAABAuKCABAAoEe1x6farWuuaCxvLIenrlfv0xNsrdDTXa3doOEOelP7mtXf9Vwp4T9gdDoLkvvvu04oVK/T0009r9uzZatWqlW655RZt3779tOdv2rRJV111lb799ttSl2Jz5szRE088obvvvlvvv/++6tatqxEjRigzM9PCVwUAAEIZBSQAwCl9ka7o3lB3/7GdYqPd2rr3qNkXacf+HLtDwxlwNUiRs+q5UmGeCjcssjscBMGuXbv03Xffady4cercubMaNWqkRx55RDVq1NDcuXNP+zObN29WcnKyqlevXupS7KWXXtKQIUM0YMAANW3aVJMmTVJsbKzee+89C18ZAAAIZRSQAACn1a7JORo9rJNqV6ukrGMFeuytdH2/lt29Qp3D4SzZkc275jMFigrtDgnlLDExUa+88oratm1bqvBrXHJyTi30er1e7dy5U40bNz7t8x05csR8vHv37iXH3G63WZxKTU0N0qsAAADhhgISAOBX1a4Wp4eHdlZKk2pmL6TXPt6gWV9sUZGfvkihzN20uxyVqipwIlu+LT/YHQ7KWUJCgi688EJ5PJ6SYwsWLDBnJvXs2fOU87du3aqioiLznMsuu0y9e/fWX//6V2VkZJiPHzhwwLyuXbt2qZ8zZjQVPwYAAOC2OwAAQGirFOPWnde20weLt+vj73fps9Q9+vHQcd12VRvFx0bZHR5Ow+Fyy9P2MhUsfUfeVfPkbtHDnJmEyJSenq5Ro0apb9++ZnHodMvXDMaStOeee86ccWT0Tho2bJg++OAD5eXlmY+fXJAyREdHq6Cg4HfF5naX//vO5XKWukZwkOfgI8fWIM/WIM8VI8cUkAAA/yenw6GrezVR/RqV9don67VuZ5YmvpGqO69pp7rV4+0OD6cR1aq3ClZ8JP/RA/LtWqGohp3sDglBsHDhQj3wwAPmTmyTJ08+7TkDBw40d2tLSkoqOdasWTPz2Jdffqn69euXLHU7mVE8MopOv5XT6VBiYpyCJSHht8eGM0eeg48cW4M8W4M8R3aOKSABAM5Y55Y1VDOpkv49e7UOZefr0enLNfIPrdSpRQ27Q8MvODyx8iRfIu/Kj+VdOU/uBh3NHjmIHG+99ZYeffRR9evXT48//vgpM4hOdnLxqHh5WtWqVc0lat26dTOPGUvamjRpUnKOcb9mzZq/OT6/P6CcnPLfCdD45tUYPOfk5KmoiOW0wUKeg48cW4M8W4M8h3eOjec9k5lNFJAAAGelXo14jflTF734wVpt2JWl/8xZqyvPb6irejYyZyohdES16SPvmk/lz9imogOb5a7dwu6QUE5mzpypiRMnaujQoXr44YfLLA4+88wz+vTTT81L8Xl79+5VVlaWueNatWrVzJ3cli5dWtJI2+fzKS0tTTfeeOPvitPnC95/IozBczCfHz8hz8FHjq1Bnq1BniM7xyxQBACcNaP30X3Xp+jSzvXM+3O/36nnZ69RXoHP7tBwEmelqopq1sO8bfRCQmTYsWOHJk2apEsvvVS33XabDh8+rEOHDpmXY8eOmUvRjNvFS9KM83788UeNGzfO/FljZ7U777zTXPZW3HT75ptv1uuvv645c+aYTbcfeugh5efn69prr7X51QIAgFDBDCQAwG/icjo1uE8z1a8Zrzc+3aSVWw/rH9PTdNc17cxlbggNnnb9VLjxaxXtXqWizL1yJdW1OyT8TsZuaoWFhfr888/Ny8kGDRpkXowG2dOnTzeXp7Vp00avvvqq2UD76quvNpe6XXLJJXrwwQdLZiRdd911ZvHp2WefVXZ2tvkzRkHpl0vfAABAxeUIBAIBu4MIl2limZm55fqcxs4kRnPJrKxcpvkFEXkOPnJsjVDO8/Z9OXr+/dXKPu5VbLRbt1/VWm0bV1M4CuU8/1Z5nz8v3440uZtfoNjef47oHCclxbEDTASPnSL1dzQUkefgI8fWIM/WIM8VY/zECAsA8Ls1PjfB7IvUpE6CuYzt2XdXaf6SXeI7itDgSelvXvu2LJH/+BG7wwEAAEAYooAEACgXVeOj9bfBHdUrpbaMstF7i7bplbnrVVBYZHdoFZ6rRmO5areUAkXyrvnM7nAAAAAQhiggAQDKTZTbqeH9WmpI3+ZyOR1auv6gHntruQ4fzbM7tArP0/6nWUiFGxYpUFD+y4oAAAAQ2SggAQDKldGU9+KOdfXADe1VuVKUdh88rgnT0rRpd5bdoVVorrpt5UyqJ/kK5F33hd3hAAAAIMxQQAIABEWL+okaM7yLuUvb8bxCTZ61Ul8s30tfJBsLe56Uy83bhesWKuD7aYt3AAAA4ExQQAIABE21KjEaNaSTuiXXVJE/oBmfb9a0+RtVyO4ctnA36SpHfDUF8nJUuPlbu8MBAABAGKGABAAIqugol269Mll/vKiJHA5p8er9euLtdGUfL7A7tArH4XTL066fedu7+lMF/BTyAAAAcGYoIAEALFk+dXm3Brr3jymqFO3Wth9zNGFaqrbvy7E7tAonqkUvKTpOgZwM+Xam2R0OAAAAwgQFJACAZdo0rqZHhnfWuefEKfu4V/+cka7v1uy3O6wKxREVLU/rPuZt78p59KQCAADAGaGABACwVM2kSnp4aCd1aHaOfEV+Tflkg2Yu3KwillNZJqr1JZLLI//hnSrat8HucAAAABAGKCABACwXG+3W/17dVgMuaGjeX5i2V0+/s0rHTrAzmBWcsQmKatHTvO1dNc/ucAAAABAGKCABAGzhdDg0sGdj/e+gNmaj7Q27sjTxjTTtyThud2gVgtlM2+FQ0d61Kjq8y+5wAAAAEOIoIAEAbNWpRQ09PKyTqleN0eGj+Xr0zTSlbsywO6yI50yoLnfjruZt76r5docDAACAEEcBCQBgu7rV4/XI8C5q3TBR3kK/XvxgrWZ/vU1+GjwHlSelv3nt275M/pxDdocDAACAEEYBCQAQEuJjo3TPdSm6rGs98/4nP+zSv/+7WifyfXaHFrFc5zSQq24bKeCXd82ndocDAACAEEYBCQAQMlxOp66/uJn+/IdkRbmdWrXtiP4xPU37j+TaHVrEz0Iq3LhY/rwcu8MBAABAiKKABAAIOd3b1NKoIR2VWDlaBzJPmEWk1dsO2x1WRHKd20rOcxpKRV4VrvvC7nAAAAAQoiggAQBCUsNaCRrzpy5qVreK8gqK9Nx7q/XJDzsVoC9SuXI4HCWzkLzrFipQWGB3SAAAAAhBFJAAACGrSpxHfx3cQb071JFRNpr99Xa99OE6FXiL7A4torgbdZajcnWpIFeFm76xOxwAAACEIApIAICQ5nY5NeyyFubF5XQodWOGJr21XIez8+wOLWI4nE55Ui43b3tXf6qAn8blAAAAKI0CEgAgLBizkIzZSAmVorQn47gmvJGmDbuy7A4rYkQ17yFHbIICx4/Itz3V7nAAAAAQYiggAQDCRvN6Vc2+SA1qVdbxvEI9NWulPk/bQ1+kcuBwexTVuo9527tqHjkFAABAKRSQAABhJSkhRqNu6qjurWvKHwjo7YVbNHXeBhX66Iv0e3mSL5bc0fIf2aOivWvsDgcAAAAhhAISACDseKJcGvmHZF1/cVM5HNJ3aw7o8ZkrlHWMHcR+D0dMvKJa9TZve1fNtzscAAAAhBAKSACAsN1+/rKu9XXfde0VF+PW9n05mvBGqrb9eNTu0MKap21fyeFS0b4NKsrYbnc4AAAACBEUkAAAYa11oyQ9Mryz6pwTp6PHvXp8ZroWr9pnd1hhyxlfTe6m55X0QgIAAAAMFJAAAGGvRmIlPTS0kzo2ry5fUUCvz9+oGZ9tlq/Ib3doYcmTcrl57duxXP6jB+wOBwAAACGAAhIAICLERrv1P4PaaGDPRub9L9L36ul3VirnhNfu0MKOK6muXPVTJAXkXfWp3eEAAAAgBFBAAgBEDKfDoQEXNNKdV7dVtMeljbuzNXFamnYfPGZ3aGHHk9LfvC7c8q38J7LtDgcAAAA2o4AEAIg4HZpX1+hhnVUjMVZHcvI16c3lWrbhoN1hhRVXreZy1mgiFflUuHah3eEAAADAZhSQAAARyWiqbTTXbtM4SV6fXy99uE7vLdoqvz9gd2hhs8udp/1Ps5C8679QwJtnd0gAAACwEQUkAEDEiouJ0j3XpujybvXN+/OX7NZz/12tE/mFdocWFtwNOshZpZbkzVPhxkV2hwMAAAAbUUACAEQ0p9OhP17UVLcOSFaU26k1249o4htp2nc41+7QQp7D4VTU/9+RzbvmMwWKfHaHBAAAAJtQQAIAVAjnJdfSQ0M6qVpCtA5m5ekf09O0csthu8MKeVHNzpejUlUFcrPk2/qD3eEAAADAJhSQAAAVRoNalfXI8C5qXq+q8r1F+vfs1Zr73Q4FAvRF+jUOV5Si2vQ1b3tXzVcg4Lc7JAAAANiAAhIAoEJJiPPogRva6+KOdWSUjeYs3qEXPlirfC/Ls36NJ7m3FBUrf/Y+Fe1eZXc4AAAAsAEFJABAheN2OTWkbwv96fKWcjkdWr7pkCa9uVwZ2ew0djoOTyV5ki8yb3tXzrM7HAAAANiAAhIAoMLqlXKuHryxo6rEebT3UK4mTkvV2u1H7A4rJEW1uVRyulV0cIt8B7bYHQ4AAAAsRgEJAFChNa1bRWP+1EWNaldWbr5PT769QrO/3CI/fZFKccYlmg21DYWrmIUEAABQ0VBAAgBUeImVo/X3mzrqgja1ZNSNpn2yXpNnrlD28QK7QwspnpTLjQVt8u1aoaKsfXaHAwAAAAtRQAIAwFii5Xbp5itaaUT/lvJEubR2R6bGTFmmlVsP2x1ayHBWrS13w44lO7IBAACg4rC9gOT3+/Wvf/1LPXv2VPv27fXnP/9Ze/bs+dXzs7KydP/996tLly7q2rWrxo8fr7y8vFLP99prr+myyy4zn++KK67Qe++9Z9GrAQCEM4fDoYs61tWz916o+jXjdTyvUP/672rN+GyzvIVFdocXQrOQJN/W7+U/nml3OAAAAKgoBaQXXnhBM2fO1MSJEzVr1iyzADRy5Eh5vd7Tnn/XXXdp165dmjZtmp577jl9/fXXGjduXMnjL7/8snm5++679dFHH2nYsGHm4x988IGFrwoAEM7q1ayssSO6qm+Xeub9L9L3auL0NO09dFwVnatmU7lqt5D8RfKu/czucAAAAFARCkhGkWjq1KlmUah3795q2bKlnnnmGR04cECffXbqoHTFihVatmyZHn/8cbVu3Vrdu3fXhAkT9OGHH+rgwYPmOW+//bZuvvlm9e/fX/Xr19f111+vq666illIAICzEuV26oZLmune61KUUClKPxq7tL2Rpi/T9ypQwRtsF89CKtywSIGCXLvDAQAAQKQXkDZu3Kjc3FyzEFQsISFBycnJSk1NPeX8tLQ0Va9eXU2aNCk5ZixjM5YcLF++3Jy9ZBSXBg0aVOrnnE6ncnJygvxqAACRqG3jahp/SzfzutDn11ufbda/Z6/RsROnnylbEbjqpciZWFcqzJd3w1d2hwMAAAALuGUjY6aRoXbt2qWO16hRo+SxkxmzjH55rsfjUdWqVbV//36zUHRyMcqwb98+ffLJJ7rhhht+d7xud/nW21wuZ6lrBAd5Dj5ybA3ybF+eq1WJ0f2D2+vz1D1654stZmPtsVOX6bar2qh1oyRVRDEd+uvEl6+ocM3nqtS+nxxuzxn/LO9lAACA8GNrAam4+bVRBDpZdHS0jh49etrzf3lu8fkFBadutXz48GGzKXe1atV0xx13/K5YnU6HEhPjFAwJCbFBeV6URp6Djxxbgzzbl+cbLmulbm3P1ZNvpWnPweN6Yma6ru7dVDf1a2UueatIAl0v0e6091WUc1juvWlK6HDpWT8H72UAAIDwYWsBKSYmpqQXUvFtg1EMio09dVBpnHO65trG+ZUqVSp1bPv27br11ltVVFSk6dOnm0vjfg+/P6CcnBMqT8Y3r8bgOScnT0VF/nJ9bvyMPAcfObYGeQ6NPFeNdWvMn7ro7c8368v0HzX7q61avvGg7hjYRrWrBeeLhlDladtXed/NVOZ3c+Srf54cTqft72XjeZnZBAAAEGEFpOLlaBkZGWbD62LG/RYtWpxyfq1atbRw4cJSx4yCUnZ2trnsrZjRD8mYcVSzZk299tpr5nV58PmC8x82Y/AcrOfGz8hz8JFja5Bn+/Pscjg0pG8LtWqQpGnzN2jn/mMa89oy3XhpM/VoW9vszVcRuJr3ktI+lP/oQeVvTVVU4y5n9fO8lwEAAMKHrV/RGbuuxcfHa+nSpSXHjGbX69evV5cupw5CjWNGb6Rdu3aVHDN2ZTN06tTJvF69erVGjhypZs2aacaMGeVWPAIA4Jc6taiu8Td3Vcv6VVVQWKTX523Uyx+t04n8QlUEjqgYeZIvNm97V82r8LvTAQAARDJbC0hGP6MhQ4Zo8uTJ+uKLL8xd2e69915zplHfvn3N5WeHDh1Sfn6+eX5KSoo6duxonmMUipYsWaIxY8Zo4MCBZqHI5/PpgQceMHse/fOf/zSXthk/b1wyMzPtfKkAgAiVlBCjB27ooGsubCyX06FlGzLMBtub92SrIohqc6nkipL/0A4V7d9odzgAAACIxCVshrvuusss/IwePdosFBmzjKZMmaKoqCjt3btXl1xyiR577DFdffXV5pKA559/XuPHj9fw4cPN5tn9+vXTqFGjzOcyikrFs5P69OlT6s+pU6eOvvzyS1teIwAgshkbLVzRvaG5pO3lj9bqUHa+Hp+ZrivPb6grL2go1xn2BgpHztgERbXoqcL1X8q7ar7c57ayOyQAAAAEgSPAfPMz7tOQmZlbrs/pdjvNnd2ysnLpARFE5Dn4yLE1yHN45DmvwKcZn2/W92sPmPeb1q2iW69M1jlVInfHMX9OhnLfeVAKBFTpmolyVatn23s5KSmOJtoRPHYy8FloDfIcfOTYGuTZGuQ5+EJh/MQICwCAchQb7dbIPySbRaPYaJe27j2qsVNTtWzDQUUqZ0INuRt1KemFBAAAgMhDAQkAgCA4r3UtjRvRVU3OTTBnJb304TpN+WS9eTsSeVL6m9e+bUvlP3bY7nAAAABQziggAQAQJNWrxurvQzqavZAcDum7NQc0flqqduzPUaRxVW8oV51kKeCXd80Cu8OJeNnZ2eZGIr169TI3GBk8eLDS0tJ+9fz09HQNHTrU3LW2Z8+eevjhh83nKHbw4EG1aNHilMv7779v0SsCAAChjgISAABBZDTQHtSrsf42uIMSK0crIytPk95crvlLdskfYW0Ii2chFW78WoH843aHE9Huu+8+rVixQk8//bRmz56tVq1a6ZZbbtH27dtPOXfHjh3mY0ZB6N1339Uzzzxjbjxy9913l5xj7IRrbE6yePFiffvttyWX/v1/+jsFAACggAQAgAVa1E/UhFu6qnOL6iryB/Teom16atZKZR0rUKRw1WktZ7UGks8r77ov7A4nYhk7zn733XcaN26cOnfurEaNGumRRx5RjRo1NHfu3FPO/+CDD8zHjFlHTZo0MX9m7NixWrJkifbs2WOes3nzZjVs2NA8r3r16iWXmJgYG14hAAAIRRSQAACwSFxMlO4Y2EZ/urylPFFObdiVpbFTl2nFlkOKBA6HQ56Uy83bhesWKuCLnOJYKElMTNQrr7yitm3blsq9ccnJOXV55IABA/T444+bj598vuHo0aPm9aZNm8ziEgAAwK+hgAQAgIWM/7j3SjlXY//URfVrxut4XqH+PXuN3vxsk7yFRQp37sZd5KhcXYH8YyrctNjucCJSQkKCLrzwQnk8npJjCxYsMGcmGf2NfskoDLVv377UsVdffdWcYWQsayuegZSZmambbrpJ559/vtlT6ZtvvrHg1QAAgHDhtjsAAAAqotrV4vTw0M56/5ttWrBsj75K/1Gbd2frtgGtVbdGvMKVw+mSp91lKvjuLXlXL1BUq4vMYwgeo0H2qFGj1LdvX/Xu3fv/PN+YjbRo0SI9//zzioqKks/nM3snNW3aVH//+98VHx+vTz75RLfeeqtef/11de/e/TfH5naX/3eVLpez1DWCgzwHHzm2Bnm2BnmuGDl2BAIR1sEzSIqK/MrMzC3X5zQGVYmJccrKypXP5y/X58bPyHPwkWNrkOfIzfPaHUf02scblJPrldvl1PUXN9XFHeuUWnIUToyla7kzHzBnIcVcfLuimp5nWY6TkuIq1OB14cKFeuCBB8yd2F588UWzEfavKSwsNHduM3oiTZgwQX/84x9LHsvNzZXL5SrV82jkyJHm9WuvvfabYjOGmOH6HgYAAKdiBhIAADZr06iaJtzcVVPnbdDqbUc04/PNWrP9iG6+opUSKv28TClcONzRimrdR97lc+RdNU/uJt0oJATBW2+9pUcffVT9+vUzZxWdvKTtl44fP66//OUvSktLM3duu/zyn3pVFYuLizvlZ5o1a2buxPZb+f0B5eScUHkzCoQJCbHKyckzv+BDcJDn4CPH1iDP1iDP4Z1j43nP5As4CkgAAISAhDiP7r62nb5YvlfvfrXNLCSNnbJMI/+QrNaNkhRuPK0vkXfVJ/If2a2iH9fJXbeN3SFFlJkzZ2rixIkaOnSoubtaWQU6r9er2267TRs2bNCUKVPUrVu3Uo9v2bJF119/vTmD6eTH1q5day5r+z2COYvPGDwzGzP4yHPwkWNrkGdrkOfIznHFmeMNAECIM4oAfTrX0yPDO+vcc+J0NNerp95ZqXe/3CpfmH2b54iJV1TLC83bxiwklJ8dO3Zo0qRJuvTSS83C0OHDh3Xo0CHzcuzYMbNgZNw2rg0vv/yyli9fbhacGjduXHJu8TlGk23juLGszZihtG3bNj322GNauXKl7rjjDrtfLgAACBHMQAIAIMTUqxGvMcM7650vt+qrFT/q02W7tWFXlm4dkGw23w4XnraXqXDdFyr6cb2KDu2Uq3pDu0OKCMaOa0Y/o88//9y8nGzQoEHmZdiwYZo+fbo5o+jjjz82+xHdd999pzxX8TkvvfSSnnrqKd1zzz3KyclRcnKy2UC7efPmFr4yAAAQymiifYZooh2+yHPwkWNrkOeKmecVmw+ZvZFy833yRDl1U5/m6tGudtj0FMr78mX5tv4gd+Ouiu3zP+YxmmhXDMEYO4Xi72ikIs/BR46tQZ6tQZ6DLxTGT4ywAAAIYR2aV9eEW7qpVYNEeQv9en3+Rr344Trl5hcqHHhS+pvXvh2p8udk2B0OAAAAfiMKSAAAhLjEytG6/4b2+mPvJnI5HUrbmKGxU5dp855shTpXtXpy1Wtn7Oku7+pP7Q4HAAAAvxEFJAAAwoDT4dDl5zXQQ0M7qUZirDJzCvT4zHTN+Wa7ivyhPVXck/LTlvGFmxbLn5djdzgAAAD4DSggAQAQRhrVTtDYP3XRBW1rGZN6NPf7nfrnjHQdys5TqHLVbiln9cZSUaEK15Zu+gwAAIDwQAEJAIAwExvt1i1XJOu2Aa0VG+3Sth9zNO71ZVqy/oBCkdHwu3gWknf9lwoU5tsdEgAAAM4SBSQAAMJUt+SaGj+iq5rWqaK8giK98tF6vfbxeuUV+BRq3A07yVGlplSQq4L1i+wOBwAAAGeJAhIAAGHsnKqxevCmDhpwQUM5HNL3aw9o/Oup2r4vtHoNOZxOedr9NAspf9WnChSFXpELAAAAv44CEgAAYc7ldGpgz8Z68MaOqpYQrYzsPD321nJ98sNO+f0BhYqoZufLEZugwPFMHV/3rd3hAAAA4CxQQAIAIEI0r1dV42/uqi4ta6jIH9Dsr7dr8qwVyjpWoFDgcHsU1baveTt7yQcKGF3AAQAAEBYoIAEAEEEqxUTp9qtaa0T/loqOcmnj7myNmbJU6ZsPKRR4Wl0kRcWo8NAe+X7cYHc4AAAAOEMUkAAAiDDGrmc9252rsSO6qEGtysrN9+n599do+oJNKigssje26DjFdr5KcrrliIq2NRYAAACcOQpIAABEqFpJlfTw0E7q162+eX/Rih81YVqqdh88ZmtcMR2uUKO/z5K7ZhNb4wAAAMCZo4AEAEAEc7ucuu6iprr/hvaqEu/R/iMn9I/pafo8bY+tPYiMWVIAAAAIHxSQAACoAFo3TDIbbLdveo58RQG9vXCLnvvvauXkeu0ODQAAAGGAAhIAABVEQiWP7rymrW66tLk5M2n1tiMaM3WZ1m4/YndoAAAACHEUkAAAqECMpWOXdKqrMX/qrDrV48wZSE+/u0qzvtiiQp/f7vAAAAAQoiggAQBQAdWtHq9HhnXWxR3rmPc/S92jR6enaf+RXLtDAwAAQAiigAQAQAXliXJpSN8WuuuadoqPjdLujOMaPy1V36zaZ2uDbQAAAIQeCkgAAFRw7ZudYzbYTm6YKG+hX9Pmb9QLH6zV8bxCu0MDAABAiKCABAAAlFg5Wvdd317XXdRULqdDyzcd0tipy7Rpd5bdoQEAACAEUEACAAAmp8Ohft3q6+FhnVQzMVZZxwr0xMwVev+b7fIV0WAbAACgIqOABAAASmlYK0FjR3RRj3a1ZXRC+vj7nXp8RroysvPsDg0AAAA2oYAEAABOEeNx6+b+rXT7Va0VG+3Wtn05Gjd1mX5Yd8Du0AAAAGADCkgAAOBXdW1VU+Nv7qKmdaso31ukV+eu16tz1ymvwGd3aAAAALAQBSQAAFCmc6rE6sEbO2hgj0ZyOKQf1h3UuNeXadu+o3aHBgAAAItQQAIAAP8nl9OpAT0a6e83dVS1hBgdys7XY2+mm/2R/H6jUxIAAAAiGQUkAABwxprVrWouaevaqob8gYC5Q9vkWSuUmZNvd2gAAAAIIgpIAADgrFSKidJtA1rrlitaKTrKpY27szV26jIt35Rhd2gAAAAIEgpIAADgrDkcDl3QtrbGjeiihrUqKzffp//MWas3Pt2oAm+R3eEBAACgnFFAAgAAv1nNpEp6aGgn9T+vgRySvl65TxPeSNXug8fsDg0AAADliAISAAD4Xdwup67t3UT339BeVeM92n/khP4xPU2fLdtt9kkCAABA+KOABAAAykVywySNv7mr2jc9R76igGZ9uVXPvrdKR3O9docGAACA34kCEgAAKDeVK3l05zVtNbRvc0W5nVq7PVNjpyzV6m1H7A4NAAAAvwMFJAAAUO4Nti/qWFdjhndW3epxyjlRaM5Emrlwswp9frvDAwAAwG9AAQkAAARFnerxemR4Z/XpVNe8vzBtr9kb6cfDuXaHBgAAgLNEAQkAAARNlNulGy9trruvbaf42CjtyTiusa8t1fwfdipAg20AAICwQQEJAAAEXUrTczThlq5q3ShJXp9fL/x3ldZsz7Q7LAAAAJwh95meCAAA8HtUjY/Wvdel6Mv0H7VuZ6ZqJcXaHRIAAADOEAUkAABgGafDoX7d6mtwv1bKysqVj6baAAAAYYElbAAAAAAAACgTBSQAAAAAAACUiQISAAAAAAAAykQBCQAAAAAAAGWigAQAAAAAAIAyUUACAAAAAABAaBeQ/H6//vWvf6lnz55q3769/vznP2vPnj2/en5WVpbuv/9+denSRV27dtX48eOVl5dX6pz58+erf//+ateunQYOHKgffvjBglcCAAAAAAAQmWwvIL3wwguaOXOmJk6cqFmzZpkFpZEjR8rr9Z72/Lvuuku7du3StGnT9Nxzz+nrr7/WuHHjSh5fsmSJ/vrXv+qGG27QnDlz1L17d916663atm2bha8KAAAAAAAgcthaQDKKRFOnTjWLQr1791bLli31zDPP6MCBA/rss89OOX/FihVatmyZHn/8cbVu3dosDk2YMEEffvihDh48aJ7z6quvqk+fPho2bJiaNGmiBx980Dz3jTfesOEVAgAAAAAAhD9bC0gbN25Ubm6uWQgqlpCQoOTkZKWmpp5yflpamqpXr24WhooZy9gcDoeWL19uzl5KT08v9XyGbt26nfb5AAAAAAAA8H9zy0bGTCND7dq1Sx2vUaNGyWMnM2YZ/fJcj8ejqlWrav/+/crJydGJEydUq1atM3q+s+V2l2+9zeVylrpGcJDn4CPH1iDP1iDPwUeOAQAAwo+tBaTi5tdGEehk0dHROnr06GnP/+W5xecXFBQoPz//V5/PePz3cDodSkyMUzAkJMQG5XlRGnkOPnJsDfJsDfIcfOQYAAAgfNhaQIqJiSnphVR822AUe2JjTx1UGuecrrm2cX6lSpXMQlHx8/3y8dM939nw+wPKyTmh8mR882oMnnNy8lRU5C/X58bPyHPwkWNrkGdrkOfwzrHxvMxsAgAAiLACUvFytIyMDNWvX7/kuHG/RYsWp5xvLE1buHBhqWNGsSg7O9tcpmYsZTMKScbPn8y4X7Nmzd8dr88XnP9IGIPnYD03fkaeg48cW4M8W4M8Bx85BgAACB+2fkVn7LoWHx+vpUuXlhwz+hitX79eXbp0OeV845jRy2jXrl0lx4xd2QydOnUym2l37Nix5Fgx4/k7d+4c1NcCAAAAAAAQqWydgWT0KhoyZIgmT56spKQk1alTR08++aQ506hv374qKipSZmamKleubC5fS0lJMQtE9957r8aNG2c2zB4zZowGDhxYMsNoxIgRuvXWW82d3Hr16qXZs2drw4YNevTRR+18qQAAAAAAAGHL9iYBd911l6699lqNHj1agwcPlsvl0pQpUxQVFWXurNajRw/NmzfPPNeYYfT888+rbt26Gj58uO655x6zSGQUk4oZ50+aNElvv/22Bg0apCVLluill15SkyZNbHyVAAAAAAAA4csRCAQCdgcRLn0aMjNzy/U53W6nubNbVlYuPSCCiDwHHzm2Bnm2BnkO7xwnJcVViCbaRv/Hp59+WosWLdLx48fN3pH333//ry7Z37t3ryZOnKjU1FSzX6Tx5d2dd95pfnFXbMaMGZo6daoOHTqkNm3amF/uGTO6Q2nsZOB31BrkOfjIsTXIszXIc8UYP0X+CAsAACDC3HfffVqxYoVZRDKW67dq1Uq33HKLtm/ffsq5hYWF5mOGWbNmmTO3jZna//nPf0rOmTNnjp544gndfffdev/9983Z3kZbAKOVAAAAgIECEgAAQBgxNhP57rvvzEKQMeOoUaNGeuSRR8wdaefOnXvK+QsWLNC+ffvMAlHz5s3Vp08fswD1xhtvmLvZGozl/kZfygEDBqhp06ZmO4DY2Fi99957NrxCAAAQiiggAQAAhJHExES98soratu2bckxo0+kcTF2s/2ltLQ0tW7dWlWqVCk5dt5555lL34yNRo4cOaKdO3eqe/fuJY+73W6zOGUseQMAALB9F7Zw4nQ6zHWBwZCQEBuU50Vp5Dn4yLE1yLM1yHN45tj49zrSJSQk6MILLzxllpExM+mhhx465fwDBw6YO9yezJitZDA2LDGKRYbatWufcs7GjRtDbuzk+P9/xVWqxIpOnsFDnoOPHFuDPFuDPId3js90/EQB6QwZ3+q5XMEZlFaEZp+hgDwHHzm2Bnm2BnkOPnJcPtLT0zVq1Cj17dtXvXv3PuXx/Px8s+h0sujoaPO6oKBAeXl55m2Px3PKOcbjoTh2MjidvH+sQJ6DjxxbgzxbgzxHdo752wUAAAhTCxcu1M0336z27dtr8uTJpz0nJiampNdRseLCkLEjm/G44XTnGH2QAAAADBSQAAAAwtBbb72lO++8UxdddJHZBLt4VtEvGcvXMjIySh0rvl+zZs2SpWunO8d4HAAAwEABCQAAIMzMnDlTEydO1E033aSnn376lOVnJ+vSpYvWr19vNs0utmTJEsXFxally5aqVq2auZPb0qVLSx73+Xxm823jZwEAAAwUkAAAAMLIjh07NGnSJF166aW67bbbdPjwYR06dMi8HDt2zFyKZtwuXpLWp08fVa9eXffcc4/ZFNtY9mYUnYylb8WFJ+P266+/rjlz5mjr1q1mM26jd9K1115r86sFAAChwhEI0CMdAAAgXBjL1Z555pnTPjZo0CDzMmzYME2fPl3dunUzjxs7tI0fP96cVVSlShWzMGQsfzu5EeeUKVPMn8nOzlabNm00evRotWrVyrLXBQAAQhsFJAAAAAAAAJSJJWwAAAAAAAAoEwUkAAAAAAAAlIkCEgAAAAAAAMpEAQkAAAAAAABlooAEAAAAAACAMlFAAgAAAAAAQJkoIAEAAAAAAKBMFJDCxJNPPqk//OEPuuKKKzR9+nS7w4loBw8e1KWXXmp3GBFlzpw56t+/vy677DItXLjQ7nAiGu/f4OKz2BqTJ082c3zllVdq3rx5doeDMMXvq7X496f8MX6yDu/f4OLzOHLGT+6gPCvK1aJFi7Rp0yZ9+OGHKigo0LXXXqsLLrhATZo0sTu0iPPDDz9o/PjxOnz4sN2hRNQ/yC+//LL++9//yuv1avDgwTrvvPMUHx9vd2gRh/dvcPFZbI0lS5Zo7dq1mjt3rnJycsz/PPXp00cej8fu0BBG+H21Fv/+lD/GT9bh/RtcfB5H1viJGUhhoHbt2rr33nvlcrlUqVIl1a9f3/xHBeVv9uzZevbZZ+0OI6J8//336tGjhzngSUpKUufOnbV48WK7w4pIvH+Di89iaxj/QXrttdfkdDqVkZFhDnyMnANng99Xa/HvT/lj/GQd3r/BxedxZI2fmIE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"text/plain": [
"<Figure size 1400x700 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"w1 = []\n",
"w2 = []\n",
"\n",
"alphas = [0.01, 0.1, 1, 10, 100, 1000]\n",
"\n",
"for alpha in alphas:\n",
" reg = Ridge(alpha=alpha)\n",
" reg.fit(X3, Y3)\n",
" w1.append(reg.coef_[0])\n",
" w2.append(reg.coef_[1])\n",
"\n",
"w1 = np.array(w1)\n",
"w2 = np.array(w2)\n",
"\n",
"fig, axs = plt.subplots(figsize=(14, 7), ncols=2)\n",
"axs[0].plot(alphas, w1, label=\"w1\")\n",
"axs[0].plot(alphas, w2, label=\"w2\")\n",
"axs[0].set_xscale(\"log\")\n",
"axs[0].set_title(\"Веса регрессии при разных alpha\")\n",
"axs[0].set_xlabel(\"alpha\")\n",
"axs[0].set_ylabel(\"Значение весов\")\n",
"axs[0].legend()\n",
"axs[1].plot(alphas, w2 / w1, label=\"отношение w2 к w1\", linewidth=10)\n",
"axs[1].plot([0.01, 1000], [3, 3], label=\"отношение x2 к x1\", linestyle=\"--\", linewidth=8)\n",
"axs[1].set_xscale(\"log\")\n",
"axs[1].set_ylim(2,4)\n",
"axs[1].set_xlabel(\"alpha\")\n",
"axs[1].set_ylabel(\"Значение отношения\")\n",
"axs[1].set_title(\"Отношение весов\")\n",
"axs[1].legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "C9EKJVTi0a92"
},
"source": [
"### <font color='DarkOrange'>**Задание 2 [2 баллa]**</font>\n",
"\n",
"Как думаете, почему отношение между весами постоянно? (подсказка, необходимо выписать функцию потерь и посчитать производные по весам)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "oqvdO95D0a93"
},
"source": [
"<font color='MediumOrchid'>**Ваши выводы тут:**</font>\n",
"\n",
"Функция потерь имеет вид:\n",
"$J(w) = \\sum_{i=1}^{n} (y_i - (w_1 x_{1i} + w_2 x_{2i}))^2 + \\alpha (w_1^2 + w_2^2)$\n",
"\n",
"Считая производные:\n",
"- $\\frac{\\partial J}{\\partial w_1} = -2 \\sum_{i=1}^{n} x_{1i} (y_i - (w_1 x_{1i} + w_2 x_{2i})) + 2 \\alpha w_1 = 0$\n",
"- $\\frac{\\partial J}{\\partial w_2} = -2 \\sum_{i=1}^{n} x_{2i} (y_i - (w_1 x_{1i} + w_2 x_{2i})) + 2 \\alpha w_2 = 0$\n",
"\n",
"Если рассматривать конкретно наши данные ($x_2=3*x_1$):\n",
"- $\\frac{\\partial J}{\\partial w_1} = -2 \\sum_{i=1}^{n} x_{1i} (y_i - (w_1 x_{1i} + 3 w_2 x_{1i})) + 2 \\alpha w_1 = 0$\n",
"- $\\frac{\\partial J}{\\partial w_2} = -2 \\sum_{i=1}^{n} 3 x_{1i} (y_i - (w_1 x_{1i} + 3 w_2 x_{1i})) + 2 \\alpha w_2 = 0$\n",
"\n",
"Если произвести вычисления: $3\\frac{\\partial J}{\\partial w_1} -\\frac{\\partial J}{\\partial w_2}=6 \\alpha w_1- 2\\alpha w_2$\n",
"\n",
"Получаем, что веса зависят друг от друга также, как и коэффициенты, т.е. 1 к 3.\n",
"\n",
"Это объясняет постоянство отношения весов с ростом $\\alpha$"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "49ZLe4IeK5WE"
},
"source": [
"-----\n",
"<font color=\"white\" style=\"opacity:0.2025\"></font>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "hhiWDj0P0a93"
},
"source": [
"Заметим, что при $l_2$ регуляризации в данном примере веса получились пропорциональны значениям признаков. При этом, мы знаем, что оба признака взаимно однозначны, и прогноз можно делать только по одному из них. Для этого придумана $l_1$ регуляризация. В билиотеке sklearn линейная регрессия с $l_1$ регуляризацией реализована в классе Lasso"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "MLs7j7dL0a93"
},
"source": [
"### <font color='DarkOrange'>**Задание 3 [2 баллa]**</font>\n",
"\n",
"Почему в нашем примере $l_1$ регуляризация приведёт к разреживанию весов? (подсказка, нужно опять подсчитать производную, но обратите внимание на дифференцируемость модуля)."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "se90tJIm0a93"
},
"source": [
"<font color='MediumOrchid'>**Ваши выводы тут:**</font>\n",
"\n",
"Изначальная функция имеет вид: $J(w) = \\sum_{i=1}^{n} (y_i - (w_1 x_{1i} + w_2 x_{2i}))^2 + \\alpha (|w_1| + |w_2|)$\n",
"\n",
"Снова возьмём производную:\n",
"- $\\frac{\\partial J}{\\partial w_1} = -2 \\sum_{i=1}^{n} x_{1i} \\left( y_i - (w_1 + 3w_2) x_{1i} \\right) + \\alpha \\cdot \\text{sign}(w_1)$\n",
"- $\\frac{\\partial J}{\\partial w_2} = -2 \\sum_{i=1}^{n} 3x_{1i} \\left( y_i - (w_1 + 3w_2) x_{1i} \\right) + \\alpha \\cdot \\text{sign}(w_2)$\n",
" * $\\text{sign}(w_i)$ - знак $i-го$ веса\n",
"\n",
"\n",
"Почему у нас зануляются веса:\n",
"- Во всех точках, кроме $w_i=0$ у нас идёт постоянное стремление к уменьшению весов\n",
"- Т.к. в точке 0 у нас не определена производная, то это потенциальная точка для остановки\n",
"- Т.к. веса получаются линейно зависимыми, то вес может занулится, а весь вклад, который он вносил,перейдёт на первый вес\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "WJMbvsfFK8pc"
},
"source": [
"-----"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "gGRzji4H0a93"
},
"source": [
"Добавим $l_1$ регуляризацию и посмотрим, как меняется значения весов, в зависимости от значения коэффициента регуляризации."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"id": "wwHDV57OFYWc"
},
"outputs": [],
"source": [
"from sklearn.linear_model import Lasso"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "bLRyD9MJ0a93",
"outputId": "6e6345ec-4810-412c-e79a-596d07b7812c"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Веса, при alpha = 1.\n",
"w1: 0.0 \tw2: 0.0\n",
"\n",
"Веса, при alpha = 0.1\n",
"w1: 0.0 \tw2: 0.029684463509327023\n",
"\n",
"Веса, при alpha = 0.01\n",
"w1: 0.0 \tw2: 0.14506160917248503\n",
"\n",
"Веса, при alpha = 0.001\n",
"w1: 0.0 \tw2: 0.15659932373880084\n",
"\n",
"Веса, при alpha = 0.0001\n",
"w1: 0.0 \tw2: 0.1577530951954324\n",
"\n",
"Веса, при alpha = 0.00001\n",
"w1: 0.3966873199145487 \tw2: 0.025639365702912757\n",
"\n"
]
}
],
"source": [
"reg = Lasso(alpha=1., max_iter=1000, tol=1e-4)\n",
"reg.fit(X3, Y3)\n",
"print(\"Веса, при alpha = 1.\")\n",
"print(\"w1:\", reg.coef_[0], \"\\tw2:\", reg.coef_[1])\n",
"print()\n",
"\n",
"reg = Lasso(alpha=0.1, max_iter=1000, tol=1e-4)\n",
"reg.fit(X3, Y3)\n",
"print(\"Веса, при alpha = 0.1\")\n",
"print(\"w1:\", reg.coef_[0], \"\\tw2:\", reg.coef_[1])\n",
"print()\n",
"\n",
"reg = Lasso(alpha=0.01, max_iter=1000, tol=1e-4)\n",
"reg.fit(X3, Y3)\n",
"print(\"Веса, при alpha = 0.01\")\n",
"print(\"w1:\", reg.coef_[0], \"\\tw2:\", reg.coef_[1])\n",
"print()\n",
"\n",
"reg = Lasso(alpha=0.001, max_iter=1000, tol=1e-4)\n",
"reg.fit(X3, Y3)\n",
"print(\"Веса, при alpha = 0.001\")\n",
"print(\"w1:\", reg.coef_[0], \"\\tw2:\", reg.coef_[1])\n",
"print()\n",
"\n",
"reg = Lasso(alpha=0.0001, max_iter=1000, tol=1e-4)\n",
"reg.fit(X3, Y3)\n",
"print(\"Веса, при alpha = 0.0001\")\n",
"print(\"w1:\", reg.coef_[0], \"\\tw2:\", reg.coef_[1])\n",
"print()\n",
"\n",
"reg = Lasso(alpha=0.00001, max_iter=1000, tol=1e-4)\n",
"reg.fit(X3, Y3)\n",
"print(\"Веса, при alpha = 0.00001\")\n",
"print(\"w1:\", reg.coef_[0], \"\\tw2:\", reg.coef_[1])\n",
"print()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "sVlEPN8M0a94"
},
"source": [
"### <font color='DarkOrange'>**Задание 4 [2 баллa]**</font>\n",
"\n",
"Почему в итоге при $\\alpha = 0.00001$ получились веса не равные нулю?"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "gG3RGBp90a94"
},
"source": [
"<font color='LightSteelBlue'>**Подсказка**</font>\n",
"\n",
" Обратите внимание на то, каким странным получился вес $w_2$"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "EgY01lIqALZO"
},
"source": [
"<font color='MediumOrchid'>**Ваши выводы тут:**</font>\n",
"\n",
"Т.к. штраф за наличие весов (коэф. $\\alpha$) весьма низок, то модель не считает его значительным, чтобы занулять. \n",
"\n",
"Пояснение:\n",
"- Оба веса вносят некоторый вклад в улучшение качества модели\n",
"- Если коэффициент $\\alpha$ не вносит достаточного штрафа, то модель не будет искать имеющуюся зависимость между весами, предпочитая оставить вес ненулевым\n",
"- Хоть вес $w_2$ и не ноль, он всё равно весьма мал, так что основной вклад, как и раньше, вносится вторым весов\n",
"- При увеличении числа итераций, веса могут занулиться, так как даже с практически отсутствующей регуляризацией модель сможет найти зависимость.\n",
" - При выполнении приведённого ниже кода видно, что при увеличении числа итераций модель всё-таки зануляет один из весов ==> она дообучилась.\n",
" - Изначально кол-ва итераций не хватило, так как модель была слишком сложной для таких простых данных (из-за малого $\\alpha$ и слабой регуляризации, которая как раз и уменьшает сложность модели)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "XHeValDp0a94"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Веса, при alpha = 0.00001\n",
"w1: 0.0 \tw2: 0.15786847234109574\n"
]
}
],
"source": [
"reg = Lasso(alpha=0.00001, max_iter=10000, tol=1e-4)\n",
"reg.fit(X3, Y3)\n",
"print(\"Веса, при alpha = 0.00001\")\n",
"print(\"w1:\", reg.coef_[0], \"\\tw2:\", reg.coef_[1])"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "O6QiwnxuLBLL"
},
"source": [
"-----"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KgKtO4HPLPsh"
},
"source": [
"В предущих блоках мы использовали модельные примеры, в которых $y$ зависел от $x$ линейно. Но так бывает далеко не всегда.\n",
"\n",
"### <font color='DarkOrange'>**Задание 5 [1 баллa]**</font>\n",
"\n",
" Придумайте, сгенерируйте и визуализируйте пример, в котором линейная регрессия будет плохо классифицировать данные."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"id": "gT9UwrRHMVmW"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"MSE для модели: 810.5074902548056\n"
]
},
{
"data": {
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atWoVoXqrnevWrYuoqOji80JDWfkcaDgnkIjIwJmmjz6y4IUXQjBrVgg+/tiizpO/vXst2LgxCMuWBWPmzJKXO15fttu8OUj963gZVS0AHDiwFpKTS1aApqSY1PlyubcVFBSgTp06FW6TmZmJ2bOno0ePzrj55jbo2vVOdTo3N1dd/tVXX+Kmm1ohJSW5+Dr285KTk4uHnVevXlHidh3Pk3/ldHnktnbt2l58eu/ejzFgQD/cdlt73H9/D6xcuQz5+fluPgqBj5lAIiIDDidu2xaE0aNDkZV1Lhfw4otAcLANISEmZGeXbUEhl4eH2/Dii3k4eNCMpKRgZGScu35UlA29exeic+fCah+6DKTnTDKAmlpQouRzoGkmmEyaulweY28+vjk5Z1CvXv0Kt5k58zmcPHkSM2bMQWRkJL799mu88MLzuPDCZrjvvr6obvv3f4pnn52IUaPGoHXrNjh27CgSExPwxx+/Y9q0WdW+P/6AQSARkUGGEyMjbWjXzopffzXhl18kgigb6BUUmFFQUP7tStA4ZEgtp9dNTZXAMET9SUA4e3Yeunf3/tBlIJGg3fE5K00CQckQynbt23sn9ZqTk4O8vDxERERWuJ0EWtdccz0uuuhidTomJhYbN67HoUMHURNefXUNunfvhR49eqvTTZo0xfjxT+OJJx5X2UjZPyqJQSARUYAOJxZlk85JSzNj505PzAKqvFGtBISDBtXCJZfYcPfdhbjxxqKARYaNJYhp0kRDhw5WdOxozPVjyyNZW09u594+HFf/Nm16foXb9ex5Lz755CM1HHv06B84cuSwCrb+8Y9/ltiuf//7ipsbW61ll0tbu/YlvPnma8Wn7cPJjvtz550d1PJoMkexTZsb8dhjg1GvXsnl+X755Sf8+OP32LFja4m1dsVvvx1hEOgEg0AiIj8a1o2O1mCzAfv2WVSQV7++hvR0k5ovJoGVDMM+8YQ9AKzp1SuKMo7yN39+2UvlvFq1NHTtCvTrZ0abNjbDDyHLsL0nt3PHkSOHVBFIo0aNy93GZrMhPn40Dh8+hDvv7ITbb78Ll1xyGRISZpTZds6cBTjvvIbq/3/44Ts8//wzJS6XzF2fPg8Unx41amiJy6Ojz8OiRSvU+swpKSlYtOhFJCcfxezZiaX2SUPfvg+jc+euZfbBscCFzmEQSETkw8FfYmJImbl3gSQ314SNG4GNG2ur+Ybz5xt7CFmCeKkClqBehn5LkzmBMTFFwb63/Pe/B3DllVerzFt5fv31FzUHb8WKl3HFFVeq8woLC3Hs2J+IjW1SYtvGjWOKs3B//XWizG3VrVuvRNbRUuqXgJy2X37BBf/En3/2RlLSsjK306zZRWr+n+NtSSHKhg1vYty4iahdu7YLj4IxMAgkIvLR4G/x4mCcOROYwV958w1lCPn66624+WZrcXHJyZM10yevJsjxSRsYGc6XgM8xEJTTQi731uMgDaLff/9d3Hvvg0hNPVXiMpknKIFeZubfiIqKUsGZbBsREaHOe+WVNUhNTUVBgWercSXrKPsibWtkuHn37p24/PIWZbZ76KGH8eyzT+Gll1aqzKQEnLNmTVNBKTOBzjEIJCLygaDvgw+Agwct+PXXoIDO/FXOhAMHgtRfabVq2XD77VYMGFCg5hgGakAofQBXr849W9hzLgiUDKC3+wTa27FIaxX5c+bpp8erVUMmTZqKNWtWYMuWDYiMjMKNN96E++/vq+YJepIEc/fc00n9f4MGDXD11dfiySfHltnu1lvvwNSpMsdwjSoSkTmD7dt3xLBhT3h0fwKJSbPPmiSXyOTWtLRsr91+UJAZERFhSE/PRmFh2Ym0gYzHzmM3wrHb5/nt2mXB+vUhyMx0HPrTfGA+n28LC7NhxIgCxMXl+0QwKNmv1NQUREXFIDg4xKXXfXmv95pYMUT67i1cuBzXXdfK6eXSt0+Gi6u6dFxFxx3ogjxw7BW93iIjw2Cx6PsRyUwgEZEPtG8piQFgZbKzzUhICMXSpcEBO49QAj5vtYEhEkYdbyAiqnaS2Zk7NwQDBpRdDYKqNo9wyhT92TcqnwzrBgcHl3t57dp1Km0iTf6DmUAiomoI/ubNC8GyZSFOV+Ko6WFVmWf3/vuWEquHlOXLQ9Qm9dgePWpCUpL3iiaMYNu2f1d4ed++/attX8j7mAkkIvIC+7q6zzwTggsvDMPcuaE+FABKQKdh3DhZ/i0bq1bl4tdfsxEfn4cGDZzPVWrQQEPduiWnkNeubUNYWOlp5TU1zdyE7dtDcPHF4dWyti5RIOA7hYio2uf8VbeSWbzY2LJVppI9GzcuXxVaSDGC9KlLTTUhKqpkX7rShQqO5x0+bMbatcHquuXdt7dlZ0MNtw8eXKBWKjFCWxkid7E62E2sDvYeHjuP3Z+Pfdu2IDVHrUh1Zv7KBlvSUmXkyAKMHp2PL76onirT0hWt0uPvqadC1TJyFe2rt0jj5eefz1PBrDeP3xvVwYHMqMctWB1MRBSg8/7kr3oCnKLf70OGFKBz50K0bm1VwZcMQcsyrVJV6thLr7qqTJ1VtHbrVlhJttB7pACnKCh3zITavN5vj8gfMAgkIvJA9m/06NBKCiu8P6TbsaNV/fma0oGhfchZgsLffjNj5UrJFHrr3k1OA0MZMl6zJpeBIBmaYYJAWXZm8eLF2LBhA06fPo3WrVvj2Wefxfnnn1tjkIjI1ezf0KG1VBDo7exfRISGwYPz0ayZze+XUHMMCmVobPr0UGzfnoOPPjKrLKZ9ruG+fRbIhCUJ2t56y962xBOPs9yGhqFDQzFsmFktURfIK5AQwehzAiUAfO211zBr1iw0btwYc+bMwdGjR7F9+3aEhLjeX4pzAr2Hx85j9+Vjt1f9vvRSMPbsCYLV6t3gLzRUw5NPFhVsBGKQovd593axTUSEDfPmuT9EHEhzAkeOHIL//e+rci+/5prruGJIFXBOYDXLz8/HmjVrMG7cONxyyy3qvMTERHTo0AHvvPMOunbtWtO7SER+QAKRsWNDkZ7u/arf8HAbHn+8AGPHBmbw5yoJzmTuowwjL1kSjPfe82z2NT2dQ8SObrvtTqfr8y5YMA9paV4bu6dqZogg8KeffkJ2djbatWtXfJ4sLN2iRQt88cUXDAKJSFcAKEGCp9WrZ8ODDxbi3ntDkJWVg+PH4ffDvd4eRpa/rVuDMGRIyYIPTwwRjx8firvuKoQbA0SeZ7UieP+nMJ84Dlujxihoe2PRg1ANQkNDERUV7fR8ChyGCAKPy6cqgJiYmBLnN2zYsPgyIqKKhn9HjvRU25eiGTiDBhWgS5eiPnahoTIkGoL0dJthh8hc1aNHIczmXA+34ynqjdiyZRjmzKnZ6uGQHdsQPjkeluTk4vOssbHImp6A/K7dUdNSUpJx773dMXnyVLz++is4duwYLr64OUaOHI2rr76meLudO7dh3bpXkZKSor6D77mnN/r0ub94rYpt27YgIWFGmdvfsGEbYmJi1f9/9tk+rFmThIMHf1FL1nXu3BUDBw6FxWJBnz7dik9/9903mDx5Alq2vBZTp85EZmYmli1biH379iI9PQ1169ZDhw4348knx6FWrVpqlHDBgrn44IP/wGq14oYb2mHcuKdUkkhs374VGze+iT///BNmswmXXHIZnnhiDC67rIW63PG+7RzPW716BXbv3oGNG7ery2T23YgRg/HNN//DJ598qc7LysrCkiUL8PHH/4eCggJceunlGD78ieL78DZDBIE5OTnq39Jz/+QXzd9//12lcX1vsY/n6x3XDyQ8dh67LwR++/aZsXOnBW+8EYzMTM/O+xs1qgBTpxacPWX2qWOvblU59l69bAgOzsPw4Z5djk8CQcn6ynD83Xdb0a6drdIEnM3m+v1LEYz9X8fZ+RIA1hvYv+SZ8kpJSVHnZ65e6xOBoFi8OFEFVc2bX6qCwbi4EVi79i3ExjbB229vxooVSzBmTDwuv/wK/Prrz0hMTMCpU3/hiSfi1HHn5ubgrrs6Y8SIJ9XtSSA3aVJ88e3L6fHjn8QDDzyEp5+eooLPadOeUQGgY/AlAda8ebPQvXtP3Hvvg+q8mTOfw8mTJzFjxhxERkbi22+/xgsvPI8LL2yG++7ri5deWolPP/0EM2fOQ3h4OCZPjkdS0lKMGzcRH374f2pfJ0yYrILKU6dOYf78OZg1azpefnmdW4/Vnj07VQAo5NhtNsk8P4GQkFqYPXu+2gfZZtiwgVix4iUVdFbGYjFVKRYxRBAoEb+QqN/+/yIvLw+1a9d26zblV4FMZva2evXc279AwGM3ppo+9s2bgSefBI4e9fxtn3cesGSJSQ39AiE+d+w1yd1jf/hh4KGHgGnTgNmzJajwxN4URWfLl4dg+XKgaVOZCydBZ/nXyM214NQps1tfyiUCYKsVdSdPUAFg6bDSpGnQTCbUfWYi/u7WzWtDwyaTSf05Ow77ZfZ97t//MXTufLf6/0mTnsFXX32JHTu2YvjwUXjlldUYMGAQOnXqrC7/xz8uQG7uGcyZMwtDhw5XiZgzZ7JRv359NGrUUG1z9GiD4sdE7n/TpvW44oorVdAoLrqomQrMJLNn3z/5Pt65cyvS0tLw8MOPFn/Pt2nTFtdee73KUIrzz2+qbu/IkUPqug8//Cjuv/8BREefp7qG1KlTB/n5ueqyyMgGePrpZ9GpU9GxNW3aBN2798DcubNKPC5y36UfJ/t58q+Q/8/KOo1lyxbh9tvvxH/+8646vq+++gzfffct9ux5Xz0GYsSIUfjuu6+xceN6PPvs1Ap/dJjNZtSvX6dEXOMqQwSB9mHgv/76CxdccEHx+XL60ksvdes2JYLPzDwDb5EXiHwoZmbmqEpkI+Gx89hr6ti3b7fg0UdDzyZgPJFZKsrkDB0qQ7/nMkrp6b537DXFU8cugfvIkdKwOwiJiSHIy/NcZvDoUQ29ewMvvZSHe+5x3ocxPz9PtSKzWjXdQ/qSDZLjl+O2J/2C934Cc/Kx8q8jweGxozB98gkK2neAN0hWTf6cHYf9Mvtzdc011ztsZ1HDmQcP/oqTJ1Px118nsHTpYqxYsbT4+vIYSQImOfkYLrjgn6pLxwUX/KP4Nuy3K//KeXJbN9zQtsS+dOx4q/rXft5LL61SAdG8eYsQFBRSfP499/TBJ598hO3bt+Ho0T9w5MhhlUmU+5VtatcOU38zZ07Djh1vq+uMHTtRXXbVVdeibt0jWLUqCb///pu6/qFDB9X+O+7LK6+swbp1a4tP5+bmqvhAtpF/7fu5YsVyXHHFVWjT5kYVBMrx/fjjj+qx7NGjKNC0k4RVbm5eha8jeZ3Jvvz99xnk5JR8Tcr7idXBDi677DKVZv3ss8+Kg0CZK/DDDz+gX79+bt9udczdsb8RjIjHzmOv3vsFJk6s7cEAsGxDZ7ntwgqmmfF5r/qxjxmTr1rqyMotixeHIDfXU30FgcceC1XV2rLGcukknHwpu8oe+DmO+koRiB56t/O2oKCSYYTNZlUBmaYVPZeSwWvVqk2Z6zVpEquOW4K8G2/soPv2nZEh4DNnzqjh4FWrXkWdOmEqQIqPH43Dhw/hzjs74fbb71LDq87mHw4ePAw9evRWwerzzz+Ldes24r333sGMGVPUUPWVV16Ne+7ppW7rxRdnl7iuXK9PnweKT48adW6I2k6CR5kb+eqrb6pMqZBjl30MCwvD6tWvlblOcLC9L2bFXPnR4YwhJqDIXEAJ9ubOnYv//Oc/qlo4Li5O9Qu86667anr3iMgHCj8GDQpFSop8JFYtaAgOLmrqvGXLGRw4kM12IzVAArT4+HwcOZKFjRvPoGtXmX8pkVZV2+KaMG9eKC6+OFxVi3uDVAF7cjtv+/HH74v/Xwobfv75JxVsRUREokGDCJXxa9r0/OK/n3/+EStXLlUZsJMn/8LhwwdxzTXXlnv7//xnM/z44w8lznvrrTcwePAjxaflvuLjJ6kMmhRjiF9//QX793+KadNmY9iwUSqYk/s/duxPdd9iyZIFqmhEri/73Lv3fSrjJ7UCr7/+Mrp164FJk55T50tvxGPHiuaIOLZXlmITx+OTuYqlSeDYt29/NG5csji1WbOLVecSedwcb0PmVn7yyYeoDoYIAsUTTzyBPn36YPLkyXjwwQfVE7V69Wrd0TYRBR75Ir/++jD07FkHO3dWrSdIaKgN48bl4Y8/sjBjRp5qY8IWLzVLHn9ZRk96/8mfZGY9ITsbqnBk7twQ9SPCk6QNjFQBy9w/Z+R8a2yTonYxPkACOimukKFWKbqQQszu3XupeYMPPfSImtsm8/AkgJJiC5lTFxpaC4WFhXj11ZdUcCVBVWrqKfV3+nSmut2MjKI5ExI8ff/9t1i1ajn+/PMP7Nv3CV55ZRXalxoKl3lxQ4aMwKZNb6n7ioqKUt/z77//rgpEf/rpBzzzzESkpqaqRsvi1KmTmDNnJg4c+AK//XZEVQLHxDRBREQEGjZspApJJKiV21u//nVs3vyWup4Em3odP56ijqtv34fLXNamTTs0b34Jpkx5SmUIjx79E4sWvYhdu7ar4Lc6GGI4WMiLYfz48eqPiEgCwIEDa5UuwHSDVu4QIflms+lduyxYudIe9LuT+S26TkJCKJKSgjFkSAFGjtQfGFTIYlFtYKQKWAI+mQNoZw8Ms6bPrrZ+gZXp2fNeLFkyXwU7MudNVhKJji7qL/jgg/1U8YcEV4sWJSIyMkoN3UpVr2TatmzZoLa7555OZW5XMn3SRkWqjmfOnIvVq5erDJn0LpTq34cfHlDmOnfe+S9s2LBOtYWZPj0BkyZNxZo1K9T9yH3feONNuP/+vmqeoH3+3/z5c/DssxORn1+Ayy9vgVmz5qnL4uLi1dCxrJ4SEhKMiy++RLXDmTLlaRVQSsWwXqNHj3e6MpnEJYmJS7F06QK1DxJAS/An1czXX98a1cEwy8Z5GpeN8x4eO4/dm8d+bvi3FjIyTFUc/tUwbFg+pk6tWgDA5736j33q1BAsWRLisfmfV199BklJR3D++Y09smyc8z6BTVQA6Et9AhcuXI7rrmvl8vVfeikJycnJari1vNu299ILNEFcNo6IqPpt2xaECRNCkZrqiZkwngkAqWZMmZKPa6+14cknQ5GdXfXXw99/FzWalk4fUVFV3z8J9NI6d6mxFUO8TdqxhIWFO71MCkskc0fexyCQiAzBk5mfqCgbZs/OQ/fuLPrwZ/L8yaotjz9eC2+/XdW1iIuue+yY9NADGhS1u6sai8VrbWBq2kMPPVxuNqxRo8bYtu3f1b5PRsQgkIgCnqwzWxQAVpWmqk7j4jj/L1DI87hypRSNhGDZMs/8SPjtNzP++U+bZwJBHyVLugXqcK2RGKY6mIiMOwQ8dKh01K/a/D+zWcOqVbksAAlQMqwvz69keT3h6FHpleeRmyJfpWkwZZ2GKT1N/euPTzgzgUQU0BXAUgBS1eIPkZSUy+FfgwwPSwVxSooJ//d/FmzYEOzW60eagv/+uwnR0RrCws6tE0wBQNPUPE3TyZMwWc99JmjBIbA1aQrNj1LADAKJKOBIBfBHH1kwfLj7a2qWt+oHBTbJ8kqPR9GnTyH+8Q8Nc+eGVno9SQLJn8l0Lhsk1efyJ+1omzQJ7OFhozBlZMB89A+YnCz9YyoogOW3I7D+80KvB4KeauzC4WAiCrjsX4sWYbj//jpnlwxzJwVTtLpEfHweV/0wOOkBGREhQ8QVf+mmpgajoECCyLwyl8n5Mk8wI8OLO0rVEgBafjvsNAAsUvQaMcvKIl4eGpa1qoXFUrVcHjOBRBRQAaCs5FBVdesCCxbkMvgjlRmcNy+v0tdVdrYF27c3wP33ZyA0VLLRodC0kj9AUlKkNYpWYmjYZjO5te6wv/O749Y0mFOOwmrW8aPSWgBbZga0OmEeP3bJAEoAmJWVjtq1w1U7napgEEhEATME/PTT9mE7dydgaQgP1/Djj9lw0uCfDEp+DEjRyJAhtdQXeHleeqlobdhu3TLUEHDpeYB5ecDBgxoiIs4FgvIlbrMZq0G4Xx53bh7MWfpTubZTx4GwOl47dgkA69WLRFUxCCSigAgApenv8eNV+VVc9Mt84cI8BoBURlFRUO7ZQiNRNhiUzN+aNbF4881GiI4uKLcYJCzMhqeeysedd9pQv34d/P33Gf/KilWRxWLyu+MOeXcPwqdM0r195uIVKLzgIq8cuwwBVzUDaMcgkIj8vgXMyJGhyM2t2ociC0BITyC4Zk0uJk8ORXJy+RnBM2cs+OOPivsI9e9fG6NGFWDhwhDk5FgNtVygLJtWq1YtvzruoPoRqPX775VuJ2GdLbYJTK3aINhJLylfO3YWhhCR35oyJURlZtwLAIuKP4YMyceWLWdYAEK6yGtEXivymlm6NAe1a7ufyVq0KBgbN3p098hLCtreCGtsLLQKev2oV4LJpNZ39pdmoswEEpHfBoBVWeGBxR/kiTYyISEVDxGXr2jbgQOBQ4e8sJPkWRYLsqYnoN7A/ioQNDmp/tUiI3F67kK17rO/YCaQiPxyGTj3A0Ap/rDhxx+zGACSR4aIR4zId/v6mZlSfcx8jD/I79odmavXwhZTVABkZ2sQgaz4p5H6/SG/CgAFX3lE5HcBoFRput//j8Uf5FlTpuTj2mttbs9NlXmBTz7J5Qj9QX7X7kjr3AXB+z9Vq4bYGjVWQ8X++uQxE0hEfmPq1JAqBIBFxR8ysZ8ZQPJGRvDgweyzaw+7Nk/wzBkTunatjb17LarSnVxgtSJ478cI3bxB/VstD6DFgoL2HZDX6171r78GgIJBIBH5TQZwyRJ30ndc/YOqh2SX58yxrxjiWiB44EAQevasgyuvDFMV71RJ4Pfxh6g7oD+iLm6KBj27oN7jA9W/kddfgZAd22p6D/0Gg0Ai8nnypXguA+haFjA8HCr7N24ch9vI++RHhrzepCG0O1JTzarQZMiQUGYFS7NaUWfurKLAr3c31NrxNszZ2SU2MaekqOINBoL6MAgkIp8PAIuqL10L/oKDNYwbl4dff2UBCFUveb398EO2yj7Xr+9OLzgTtm4NUWtgy1KIBBXURbZohrCEmWUCP0f2qt3wyROqZ2jYzzEIJCKfDgAHD3Y9AGzfvhB//JGF+Hhm/6hmyOtOss8//ZSNBx5wr3o4Pd2k1iw2eiAoAWC9Af1gTk/Xtb0EgpbkY6p4gyrGIJCIfDoDKEtx6aehQQMbNm7MYfBHPkFeh4mJeaotkeuKXvujRoUi3/0uNP5d6JGfj/DJ8eoiV8vBpHqXKmbsnxdE5AdzAPUqGgZ68cU8BoDkU+T1OH9+nlvTGmT77GwTLr44HEuXBmhluwR++z9FyJ6dqLXxLZhTTxVfZIuKLnHaFdK+hSrGIJCIfIZM4Zk1KwgJCa43gq5dG1iyJEC/JCkgWsgMG5bvdpPz3FyooeGAaHEkb/QPPkDwL4dR6//eR+juHTD//bfTTU1uBID29XtV/z6qEINAIvIJ27dbEBcHpKWFunhNDWFhGn7+OZsNoMmnTZ2aD5sNWLHCnUBQttcweXIoOncu9Ntst8zvqytFG8nHEK5je1cfJXtNtj+t31uTOCeQiGqcTHx/5JFQpKW5d/1Fi7gCCPmHadPyVUbQ1T6CRUxITjarptL+2t5FCjxMyce8dje2iEhkrnnN75ZvqykMAomoxkeGJk1yNft3jlQA+/3wGBkuI7hqVS7q1XOnWAR46KHaflUxrNq7XNdCtXdxvdPnORWFzbawcGTHP420H/xv/d6a5D+vIiIKSPv3W5CS4s7vUQ0xMRri4oxSNkmBNkewa1cbrroqDCdPai6FRnl5Pj4/8Gyhh1Tnmg8fUsGfJ9iiomBJTT13um5d5N9yG3IfGej3y7fVFAaBRFSjdu1y/2NoxgxWApP/kikMy5cDffoAmuZKIFg0P3DsWB+YH+gQ8Ek1rik1FeHPToQlObl4E9dC3LI0kwm2mFikff41gr/4rPi+VOEHPwCqhEEgEdWYqVNDsHJlsMvXM5s1JCX5aBaEyAW9egEvv5yHp54KQXKyK6GSSTWTTkwMUU2pa2qYV3r4lQ74SqtqAFhc6BESUpTxI4/hnEAiqhFbtwZhyRJ3qjmKAkAZTiMKBN26WXHgQDa2bDmDLl1cC+iWLAmukdXR1CoeA/vD7BAAeiLoK00ygJmr13Ken5cwE0hE1Uq+sObNC8Hcua63ybBnABkAUqCRUc327a1o29aKK64IQlqavhxNdrYZTz4ZigULvDw1wnHYN/o8hE+KlzHsMu9gTwSA1vC6yOvbH/mdu3DI18sYBBJRtZGKRpnHlJ7u6iBE0SATA0AKdBLvJCTYVxfRF1a99VaImlsrq5J49P1RwUoe3mrvkjP4cZyJG8/Ar5owCCSiagsApaLRHdHRmvpi5BxAMgIJ5EaMyHdpukRWllkFjtKDUFrQeGO+n6fJT7vcBx5CQcdb1LAvs37Vj0EgEVXLELBkAIu4th5wVJSG//2Pq4GQsUyZko+WLW0urqFtOrssXVEvwqrO95PhXk8pUyF8/vnInj4LOZ27eew+yHUMAonI62QOoLtDwHPmcDUQMqYePQrxyy/5mDvXlWbqRYHg9dfbKh4aLtXapTgLZ7WqDKCz+X7uBnz2Ct/s8U/B2uwimGJjUPfuu1CQmQsUutcwmzyDQSARedW2bUEqCHRVaCiwbBnbwJCxjR2bj2XLglUBiH4mxMWFoksX5z0EnQ31WmNjkTU9AVpERJWGgJ3lDmWoV1q82Ct8g4LMHPb1EQwCicir8wCLJri7nlN4/fUcdOxYA70viHyIxEojRhQgIcG1pRVPnzarH1+yrKKeoV5zSoo6P2fIsCrtry22CbKefwFaVBSbOvsBBoFE5GNrAmuIjdVUuwwigloaMSkpGBkZ+lfeNcOKr+Z+gqM/votLLrGpJssSjJU31GvSNDVsW2vTW66t5NE4BqcXr4D55F8M+PwQg0Ai8gpZycC9NYGB6dO5HByRnbwXXnwx72x1feWLsPXEZiRhCKKRCuxE0V/iHFjDw2HJyir3ehIImk6dglWyeGlp6nSlK3nMSEBBh5urcHRUk7hiCBF5ZRg4ISHErS+7l15iKxii0uQ9sWZNLiIitEoDwE3ojSgJAEsxVxAAOsrrfX+JQM8ZruQRGBgEEpHHh4HHjHF1GFi+2DS88QZwzz0cBiYqLxD84YdsbNx4BpdenI+b8QEewBvqXxn+lb8FeFJt6yx80zszV1bqkADPFhNT4nxrVDTODBmOjC07kXbgOwaAAYDDwUTkUUOHhiIjw+xyM+h58/Jx7721kJ7utV0j8nuSLb8jcwt6ZMfDgnNVvH+iKZIwGOfjqNu3reb4OTRtTuvcxXkbGQoYDAKJyGOmTAnBtm3BbjWDrlOHAxNElSmvurcJjmEqplS5l5+0cikO9CwWVVBCgYtBIBF5rB9g0WoFrrWDYTNoIp0NnVu3Kbe61wwNrrRd1qKiYXJYC7h0Lz8yBgaBRFRl+fnAyJGu9QM0mzUkJbEZNFGZoC8lGcEffYDQPTthzsg4d3FUFCypZQs+7Oy59Irqh+Wyo2iK92Z8h56N9nKo1+AYBBJRlTOAw4aFoqDAtTWBJQCscFkrIgNxtopHaeYKAsDSnAWCReVXwJNYgC2P18OBEberNYrJuDgJh4jcNnVqiFoRpKBA/0eJyaRh1SoGgER2wdvfVvP8zJUs16b3Z9azmIpURJU5/xSi0AebsAW91OklS2QOL3NBRsZnn4jcIl8e8iXiGg0rVjAAJIMP+X76CYL3fgSz2QTceTvqPDXe6Tw/V9lgUkO9MzFJ/UnrmFvwgbpM/u9D3AIb7EO+Rfc2cWL5awxT4GMQSERu9QKcMEF6Abo2BDxsWD569GAASMYd8q079gmY09POnTk3wa0hOWfVvSYNGI3E4kDv/3C7+qvIqVNm7N9v4TKNBsXhYCJymXxppKa69vFxzz2FmDqV84/ImFRrlwH9YHIMAKtAqnvLrOCxZi26rLpbTblwxa5dTAMaFTOBROSyXbtc++gID7dh+fJcr+0PkU+zWhE+KV79b1WHfCW8s8U2QdrnXyP4i8/KVPd2RyFstlwMGSLV+vruceXKEAQFyRxf/kgzGgaBROTSMPC8eSFYuVJvQ+iijMT8+Xmcc0SGJW1fLCkVF33oYc/vqYbOISHlNnKWKRdff53vwpxdk+rxabMB06YxEDQSDgcTkS47dgShRYswzJ3r2lzAESPyWQhChibZOk+wRUQic81ruho6S+sXqcKvVUtvC2kTVqwIwcCBoerHHhkDg0Ai0hUADhgg6/rqD/6Cg4tawbAPGRmdDNdW6foRkciOfxppPxxyaUUP+fF15Eg2unQp0HkNE7ZvD8GFF4azdYxB8FkmogpJVmDsWMn+Cf1B4Btv5KBjR6YUKACXb3NxdQ3Z3hoTq1YCqWglD1vjGJxekqTux5x6CraoaFXwUZXVPORqgwYVYOdO/Wt65+aaVP9PyeLzR1xgC4ggMCUlBXPmzMFnn32G/Px8XH311Zg4cSKaN29evM3u3buxaNEiHD16FM2aNcOECRPQrl27Gt1vIn8gq4Gkp7s2aBARYWPLCQrYlTyssbLOboL+rJzFgqwZCao6uLyVPETWzDko6HAzPK1tWyuiomwuV/TLnMJrr7VxOkcA8/vhYAn6hgwZgpMnT2L58uVYt24dwsLC8MgjjyAtragUf//+/Rg/fjweeOABbNmyRQV/cp1Dhw7V9O4T+TQZEtq6VX8GwW7w4AIWgpB/Z/72foywyRNV4FZ6JQ9zSopa4UMCRL0kYJT5fFpEZJnLtMgo3XP93CHvxdmz8xzCTT0kVDUhLo5zBAOZSdM01xoK+ZhPP/0Ujz32GD766CM0atRInZeXl4c2bdpg8uTJ6NOnDwYOHIi6deti/vz5xdeTgPCSSy7B888/79b9Wq02pKVlw1uCgsyIiAhDeno2Cgv1TuwNDDx23zh2+eC/8sowF7MHGiIiNPzwQ7bLQaAvHXt147H7wLGfHfIN2b0ToZvWw1LJOr3SnFmGatMOfOfaUG2pFUNqd7oL6S1bo1CravOYyk2ZEqKqgF1tVBMfn4dx4/ID7zmvAdVx7JGRYbBYzMYYDpYh36SkpOIAUJjNRQefmZkJm82Gr776Sg0PO5Ig8Z133qn2/SXyF59+6npDaDFvHtvBkB+xWlEncQ5qJy2DOSNd99VMmgZL8jEVOJbXqsUpi0UN+cqfBAS1I8KA9GygGoIh6QMobWCkCtiVQFBaQsXF5fN9HYD8fjj4vPPOw803l5xDsXbtWuTm5qJ9+/YqEDxz5gwaNy5ZndWwYUMcP+6Zsn2iQKwGfvhhe7NZ/eLj89G1K+cPkX+Q4dzIFs0QljDTpQDQG+1fqov0ARw6VLJ6+gcBZU7w3r2MAAORz2cCpZDj9tvLX/tw3759iIw8N8fi3Xffxbx58/Doo4/i0ksvLQ70QkJKNs0MDQ1Vw8ZVIb/ivMWeytWb0g0kPPaaPfbt2y0YMMBeDayXhthYDePHF7q9775w7DWFx+7lY7daEbRvL0wnjkNr1BiF7dojeNcOhA3oV+WbNsXGuP1dUFPP+wsvFCIoyIQlS4J1ZwQfeqg2kpLy0K1b1ScI8vUOnzl2nw8CZZh3165d5V5ev3794v9/4403MG3aNHTv3h3x8fHFwZ69gMSRBIC1a9d2e79kLoeM63tbvXru76O/47HXzDzASZNcv57JZMKiRSZER1f9PcHn3Zi8duybNwNPPikZhXPnNW0K5ORU7XZNJnU7de++y+32LTX5vC9eDNxyiwR38v1Y+fZ5eSY88kgtbNoE9OrlmX3g673m+XwQGBwcjIsuuqjS7aRFzKpVq1SRiLR/kS8l0aBBA9SpUwd//fVXie3ltOM8QlfZbBoyM8/AW+RXgrxIMjNzVBGKkfDYa+7YZ88OxtGjepeaKtKkiQ0zZ+bj1lutSHdvRM0njr0m8di9c+zB299G2KP9AE0rke/Sjh6t0hq+UhQisqfPQkFmrt8+7zLI9scfwIUX1kFOjp5HRMOoURo6dsypUtxb08ddkyzVcOxy+4YpDHEMACX4GzBgQInLJBi87rrr8Pnnn+Pee+8tPl96CrZq1apK91sdVU3yIjFa9ZQdj716j33q1JCzw0P6TZuWqxrRyhdCoYemAvJ557FXpa2L/EmEV9C2PWpPHFcmABRVrcOVqmBZvze/czePFHTU5PMudZT9+xcgKUnPjz8TkpNNmD07SM3/rSq+3m01vRv+HwRKMCcBYP/+/dGtWzfVL9BOMoDSM1Cyg9IXsEWLFujYsSM2bdqEH3/8ETNmzKjRfSfypX6A+hebP9cQ2h4AEtUYqxW1E+egzuL5MJ9xHJ2Z47G7sJdQ5AwdjvxOXaq0gocv6ty5UGcQWGTu3BA1ms7VRPyf3weBO3bsKK4Ilj9HI0eOxKhRo3DTTTdh5syZWLp0KRITE3HxxRerxtJ6hpmJAp3MA5wwIdTl/AgbQlNNL+FmPnwIdVxs7eIOW2yTosyfl5o51zR3VhThaiKBwe+bRdcUNov2Hh579R67tH7o2bNOtTSErgifdx57ZcfubAk3Z8uwuaK869vq1kNu335ezfz50vMuowGyXnARfY9odLQN337LxvD+3CzaN2qUiajG7Nrl+oAAG0JTdZMAUJZqK72Em7sBoFrxIzIStpiYEufbGkQgK/5ppP7yO7KnzSpqBG2AF7tk9EaMcG1499QpM/bvD/zHJpD5/XAwEbk/DDxvXohaDUAvs1lDUlIuG0JTtQ352ho1RkHrNioD6KzIoyrVvafnLkR+5y4l7yvA5vu5Qub4See0uXP19wnds8eC9u25uLC/YhBIZNAVQcaODVUrAehTNGtEAkDOASJvcjbka4uKhjn1lMfuo7i69+wcP5eWfQtwY8fm47XXgnH8uATKlYfc69YF47nnuKScv2IQSGTAAHDAANeWhJOe68uWMQNIXkpJf/ABgg8eQcivB1Fnzgsq4+fIVIUAUDtb2HF64TKYT500fLavMvKwzJyZd/YzovIZl6dPmxEXF4rERE4R8UcMAokM9n0rGcAi+gfWXn89Bx07csiHPJ/1qzt5ApB8DOFnz3MWdrg97+/sv5L1K+h4SxX21Fjkx96aNbkYNkyWV6380X/zzRB8+GEQZszI4w9FP8PCECIDSUwMOTsErP9rVSoAOeeHvFXoYUo+VuJ8T8z5s9MiI5G55rWAbe3iTRLMrVunfzWUlBQTBg6spUYayH8wCCQyUBbQ1RVBRO/e7AdIHma1ul3ooVVy2hZeF7ld70HGpu1I/f4QA8AquPFGKxo00NvGxKRG8SdPDlWfNeQfGLITGcTQoaHIznb9d1+nTvxEJzere1OSVUGHFHZIMYZ9Lp5c5lj44QpbVBQsqannTsc2QW6/R2BtdhHn+3mYPIxDhhQgIUFvtXDRsnLSNoajB/6BQSCRAUyZEoJt21zNAmqIjdXUagJEVanutbPGSlVuAkz5ee719YuJRdrnXyP4i8/Y0qWaxMXlqxEEV35AnjjhyUF98iYGgUQBTlYCWLZM1gV15YNZg7RSmz6dFX+kv6efRZZxc1LdayeNnmUeYPb4p9zq6ycFHggJYUuXaiTv/xEjXMkGyjKuwbjnnkJ+dvgBBoFEAczddYElAygBICv9qKLAL2TPTtTa+FaJHn4VNRWR82Wl0tprX4Y1Jhbm4ymydmmZ7UrfRum+flT92cClS4ORlaUvG7h3bxBatAhTKwvxM8S3MQgkCmAyN8eVReG7di3AwIEFagiYv+LJ1eFe6Pi5IZdbUpKRHf+0yhpKls8xEFRZP01TS7fZOM/PJ8hDP39+nktrC6enF1ULr17N/qK+jNXBRAHMlWrgunVtWLkyV03o5vctlcn87f0YYc9MRL0B/cqs3+vWTTa7CJmr10KLiS1xvmT9pK1LzriJyOt1r2HW7g28tYVZLewPmAkkClDPPBOC997T+xbX2PGf3Mr8uUtl+Np3wN/duiHiu6+QdfAICqMbMesXUGsLs1rY1zETSBSg1cArVugtBtEwbFg+1wSmchs6eyLzZycDv9bYJkXBnpCA75ZbUND7Pmb9/GRt4chIvb0Di+zZw+fUVzEIJDJ4NfAddxRi6lRXhnkoUId7QzdvUP+q8bsqNHQuj5r5ZzIVVfky2PNL8rQlJEiLH+cV4M7ID1KuJOKb+KwQBRD57h492rVqYGn/QAZltaJ24hzUSVoKc0bGubNjY5Hb71G3h4DLqxCWxs6s8vV/MmrQo0cBtm6VH5v6yNzAzp3ZNsbXMAgkCrC1gfW2cbCvC8xm0MYd6q079gmY09PKXGZOSUGdhJlu3W6J6t5/Xuh0xRDyf8uW5eHDD4NUFbCemnDODfRNDAKJDLs2sIZZs1gMYuS5fuU1dZaWLfoH+0piTz9jkM8N6QM4YIC9bUzl5POJQaBv4ZxAogDKAupf2onFIIac53f2fD1z/eyX6QkGrVHRODNkODK27ETage8YABqE9P+Lj9c/n1i6FUjXAvIdzAQSGS4LqGHo0HwWgxisrYt93V4tIsLluX5lGjqf/TdnyHDkd+7CYV6Dryby6qvBOH5c37CwFIkEBZmweHE17SBViJlAogAwdGio7iygrOk5bRoDQKO1dZF5fnK+LPXmClnZwxYTU6bAQxo6Z0+fxbYuBidP/cyZUi2sl0n9YN240Ys7RboxE0gUAD0Bt23TlwWsU8eG5ctzvb5PVD1DvWqY1wQUtO+IghtvUheVN9Sr5vmZTKi16S1dd6GdDfZy4sarP1kr2HziOJdxo3KHhRMS9DeRHjgQOHTIyztGlWIQSGSgnoAjRxbwuzsQWrosWQBzdva581+cA1tEJHIGP17hUK8EgqZTp2CNioI5La3EEK8j+7mO/fxUxo+ogmHhVauCkZamb0QiMxOYMycI48ZxVKImcTiYyI/nAU6YoL8nYFiYTX1Qkx+yWlFn7ixEXdwU4QkzSwaAZ5nS03S3dcnrff+5di5OSEApw70s8CBvNpGeM0dGMZiLqkkMAon8lPTcSk01u9QUmllAP8z8nQ3+wsoJ/uxcWdVDijkyV68tO9cvIlLNAUz74RADQHKZdBuQrgN6A0FNM2HQoFpcTaQG8ZEn8lO7d+t/+9atyyxgIDVz1tPWxVlQKJk/x6bNaZ27cK4feZR0HbDZipaK0/vThKuJ1BwGgUR+OhS8bp3et6+GxEQ2hfb5J/SDDxB88AhM0Y1gSk1FvcGPlNvM2a22LmeHfkus22uxcK4feZx0H0hJMWHbNj09AbmaSE1iEEjkh+bN07s8HJtC+3SF7/5PEbJ7Z1HFbuophJ+9SDObK23mXBEZ0q392sslikS4kgdVpxUr8vD++0G6l7E8ccLdVztVBYNAIj+zdWsQ5s7V13X/jjsK2RTaT5o5OzLJeJob2NaFfIW81Pr2LURSkr7Pqj17gtCrF3+sVjcWhhD5kalTQzBkiKzVadJdDEL+0cy5qsq0dTk71JvX6142dKYaIfP89NHUj1tWClc/BoFEfkI+IJcs0b/uZkSEDW3bco6NT9G5bq87tEi2dSHfIp8/sbGS1a5sbmvRknOjR4cWL3FN1YNBIJEfkA9G+YC0f1jqMXgwW8L4GhmelSFgTwWAWq3ayO12DzI2bUfq92zrQr5FPn+mT9e/pJzMH3z8cRnpoOrCIJDIDyQm6i0EKcLG0NW/hFvo5g1Fy7hVkMqQ+XmeYKsThqz4p3HqSDJOr16Lgg43c7iXfHpJOb3efjtILYVJ1YNBIJGPk5giKUnf2sB2bAxdffP7Iq+/Ag16dkG9xweqf+W0nO+MFGjopdmrhJ00c049dBQ54yYy8CO/ID9IIyP1FjuZ1FKYnB9YPfgoE/k46Z+VkaH395qGiAiNWcBqau1SO2lpmYvNKSmq8ENW5Cg9PCsVutbYWLVNeev2CnWJyYTMpJehyTq/rPClAFhSTlYH0TedxYS4uFB06cIG0t7GTCBRwKwMUhRUzJvHxtDVkfmrk7TU6QxNe3AXPnlC2aFhiwVZ0xMqXLcXZ9u8qCCyew9W+FJAkF6lPXro71Zw+rRZTYMh72IQSOTDZE1NvUPBtWsDa9bkqjk45Pn5fnXmztLd2kUCQUvyMZUxLE2yg87W7cV55yFn2AhkbNmJtAPfsciDAs6yZXkID9ffA3PlymBWC3sZh4OJfJR8+I0ZIxXBldEQFqbh55+zEcIfzh4L/Gq9vBohH/wH5qys4ovKW5PX1UIQCfAc1+01xcag7t13ITczF4WF7jWKJvJ1ksieP1//sHB6upnLyXkZg0AiHzVsWKjOuYAmjBiRzwDQQ/P8Qte9CotD4OfI1dYuFRaCOKzbGxRk5lAvGWZYWArX9PY8Xbo0mEGgFzEIJPJBb79twdat+iuCmzVj9shbS7i5Q+b7yVq9qpCDiEqYNq0AJ0+G4K23Kt/23XeD1GoiPXpwmos3MAgk8sFh4FGj7I2h9WnUqLKO/OSY8bNX25pSU1Fv8CNqBQ9PsRd8FC/fRkRlrFsH7NqlISurss85E4YOrQWzOVdlEcmzGAQS+ZgZM6Rzvt4AUENsrMbl4dzM+Kk+fB5ewk0ygBIAsrCDqHzy+6hfvwIsX175sLCmmdQ8Qha+eR6rg4l8LAu4YIFr15FlmZhwqoDVitpS2TugX5nKXpPNVuUAUDJ/kkc8M3Q4K3uJXHD33a79eJ00iWsLexqDQCIfsm+fGWlp+rY1mTSsWsVfxpX29bvuCoQnzHRh1eWKaU4yf5lrXkP2tFns5UfkgnbtbIiK0r+SSEoKewd6GoeDiXzIiRP6h4FXrOAcmfLm+klBhlT6Sl8/j873O/uvrNtra3YRV/EgqgJ528ye7cpKIrLySAguu8zGH78ewiCQyIfs2qUvmJBKOVbLlT/XzxoTA1Nunsfn+2mRkTg9dyGHe4k8vJLI1q36M3yTJ4eic2cuKecJHA4m8hGyYPqWLZX9LtPQoIENy5blVtNe+X4A6GwVD1mb15ye5rEA0BYWprJ/qd8fYgBI5IWVRORzrexkC2dMSE4uaiJNVcdMIJEPkMnOo0fraQtjwpAh+fwFLKxWlQF0lu1zJfhTXztmsyoSsbNFRSH/xptgbX4JCtp3RMGNN3HIl8hL5K314ot5GDBAhoX12bOHK4l4AoNAIh8wdGgosrL0JebZGLqIzAGsaoNnFQCaTMhMehlaVFSJOYUM+oiqj8zxGzKkAElJ+oaF160LxnPP8QdxVXE4mKiGTZkSgm3b9K8OwsbQFa/L6wpV2bt6LfK791CVvXm97mWFL1ENkXl+ep0+zUphT2AQSFTD8wCXLQvRPYAZHW1jY2g96/I60Jyclr/s+KeR9tX3nONH5CPksy02Vu/cQGDlymD2DawiBoFEPj8P0E7DrFlsDG0nQ7bW2NjiZdpKk/OtEZEq2+fIFttE9fU7M24iM35EPkTejtL8Xq/0dBaIVBWDQKIaMm9eiO55gEJawrAvoAOLBVnTE9T/lg4Ei9fvnbdQZftkJY/M5au5ogeRH8wNlCb40gxfj1WrgpgNrAIGgUQ1NAwsQaBe4eEB0hZGmjrv/Rihmzeof6v66S3BnMzps8XEOJ/rJ8GexcL5fkR+RH7sjh2br2vbnTtD0KJFGHbsYJ2rO/ioEVUz+bBypUO+DAPPn+//w8BOmzrHxqpsXlUyc3LdtM5dyqwY4vcPGJGBSRC4fHmwrtGS9HSTai+zZg2X0YTRM4FffvklLr/8cnz22Wclzt+3bx969eqFli1bolOnTti5c2eN7SMZlyS+pNu9fhqGDcv3v2HgUhm/kG1by23qLOdLgFglzPYRBRR5C/ftq/dzr+gHtXy2cmjYwJnA06dPIz4+HjaHpq/i0KFDGDp0KB577DHMmTMHH3zwgdouMjIS7dq1q7H9JeORSczS7V6ve+4pxNSp+oZFfGX9XlmzN3TTelhSU4sv0sxm502dNU3N3wufPAGZ3bpV+y4TkW+3jNHbN7BoJRGT+oxlE2mDBoHPPfcczj//fBw7dqzE+a+88gouvfRSxMXFqdMXXXQRfvjhB6xatYpBIFWrEydMLs0DXL4812+Heh05rsZR5jJNgyX5GIL27QW6dfbiXhKRv7WMkeXkMjLMXvmMpQAaDn777bfx3//+F08//bTTIeLSwV7btm1x4MABaBob71L1OXxY/1vuoYcK/GJUs7z1e11l8kDzZyIKHPL5J6uIuILN9A0YBB49ehQzZsxAQkICwsLCylx+/PhxNG5csrFsw4YNkZOTg/T09GrcUzIymauydq2sDKLvQ6pTJ6vvz/f76AOET3K+fq+rNJ3Nn4nIOOLi8lU2UN/npqbWFKYAGg6WAO/2228v9/K9e/di/PjxuP/++9GqVSu1fWm5ubkICSk5r8B+Oj/f/flWQUHei6EtFnOJf40kUI99/34zUlL0HVOTJjbcdJPmG4+B1aqGaiVTZzl0CKGvvARzStWyfo5kTqAW2wTaTR3UaZ845moWqK95PXjsxjt2V447KAhYsCAfjzwSejYQrOjnpgkrVoQgKMiEadNcyyAa9Tn3+SCwUaNG2LVrV7mXv/nmmyqjN2rUqHK3CQ0NLRPs2U/Xrl3brf0ym02IiCibdfS0evXc279AEGjH/v77+rdduNCM6Gjvv74qTV3OmCGfwEBamnfuw2RSH+mmhQtQLyI8IJ93V/DYjcmox673uB9+WOZIA489BmRmVra1CUuWhOCWW0LQpw98Vj0fec59PggMDg5WhRzl2bx5M/766y+0adNGnbbP8Rs8eDB69OiB559/HjExMWobR3K6Tp06qFu3rlv7ZbNpyMw8A2+RXwnyIsnMzIHVWv6k+kAUiMcu8dSqVXV09QacOhW44w6ZqmCrsaxfkFT4rn0V5qzTHrtp9c40W2CyWUss4XZm5mwU3PovWDJzAu55N/JrXi8eu/GO3Z3jvvVWYM4cC4YOlR6rlRswwIZbbsnxuXnVlmp4zuX29WYafT4IrMzatWtRWHiul9CJEyfQv39/TJ8+He3bt1fnyTDx559/XuJ6+/fvx3XXXQeztK5wU2Gh99+08iKpjvvxRYF07HPnyhJxlQeAUVE2TJpkRmZm9R97ZRW+VQ4ATSZkJr0ELSqqbFNnh2MNpOfdVTx2HruRuHrcDRvqn3l8+rQZc+YEYdw432yxZfWR59zvg8AmTZqUOG05G/bLMHJUVJT6fwkKe/bsiblz56p/P/zwQ+zZs0e1iCHyNpl5sGCBvl5X991XCItF/3Jynq7wlQIPb5CMX9b02Vyzl4iq1DJGfiinpupL3qxcGawKS3wtG+hL/D4I1KN58+ZYunSpahQtPQObNm2q/p89Aqk6logbPjwUeXn6fsF27mz1aiNnKegwp56CLSpara+rMnHSk3CyZyp8Hdmio5Hb+z7kd+rCZdyIqMrkI2T27Dzdy26mp5vZPNpoQaAEeD///HOZ8zt27Kj+iKozAJT1LPWKiLChXTtbtQ7zytq9uf0erfIQsFT42hrH4PTiFTCf/Ivr9xKRV8gSmrKU5rJlIboCQWkZwyDQQEEgka8UgkyaZF8jWF9+bfBgDzeHtlpRJ3EO6iTMLHcTafBc0eV6A0CRNSMBBR1urtJtERFVRpbSPHbMhG3bKp868/rrwXjuOQ4Jl8c3GtUQBRgZgijqCagvAAwLs6m5K57M/kVe1wJhCTOLWrCUs507w7+lZw3KsHLm6rWc70dE1WbFijy1tGZlsrLMGDZM/4iM0TATSOQFS5fKyiD6jRhRxSygfc7fieMwHz6kgj+97IFgZW1Y7bSISJwZ/DiszS7isC8R1Qj5yOnbtxBJSZVnA7duDULXrkFqKJlKYhBI5GHbtgXh3Xf1v7Xq1q1aFtDZnD+9AZ2zoV1TORXCtgYRODNkGHLixjPoI6Ia17mzviBQPg1Hjw5Fly7SfaEadsyPcDiYyMNzASdMCNWbU1N/iYl5bn8w2Vu7yNw+R+4EgNnxT8MWE1PiPGtUNM4MGY6MLTuR+uNh5IybyACQiHymZUzRusKV47Cwc8wEEnl4LqDeHlZixIh894corFaPtHbRzvbxkwyf/NmHlTnUS0S+TD6ahgwpQEKCvQivYhwWLouZQKIamgsoneynTHF/GFiCNRkCNnlgJQ9p5Kw+US0WFLTvgLxe96p/GQASkS+TqTR6CkSKmBAXF6pGbKgIg0CiGpgLKF3vx47NL3/93k8+QujmDQje+3HRGLMTkq2rKskAsrKXiPyV/E6dPz/PSd+C8peTS0ys/lWZfBWHg4k8QOK0+Hj9cwGl632JJNvZ6t7Qd3YBG99C3ZMnz10UG4us6QllAjUZrnWF/SMy94GHUNDxlnMrhjDbR0R+TIZ3e/QowNat+oK7JUu4nJwdg0AiD5Bflmlp+hLrd95ZiO5d8hD88ScI3vsRLL/8gpB9n8Ccmup0e3NKiir+KJ2xkwBOAkS53FlFb+kKYa7fS0SBatmyPLz3XpAqAKlMdnZRNnDcOM/1ZvVXDAKJPLA8XEKC/uGFadduRFSLkTCnp+naXgI8ad0SPnkC0jp3OZe5s1hUhlACxNKtXeyreGSPf4r9/IjIMMPCetcVTkpiNlBwTiCRx5aHc84MK27FfzAVz2BrcB/ckNAXJp0BoJ0EeJbkY2rI2JFk9SRDWLq1i30VjzPjJrLIg4gMNSysR0YG5wYKZgKJPLI8XNnArwM+Rne8jYFYg/rILLpA3+dTuZwVg0ggKBlCtnYhIqOTYWEp0JMh38okJITgssts6NrVuC1jGAQSebglTE9sxgI8ifNx1OP3V24xyNnWLkRERia/fWUZTr29AydPDlUrjxj1NzOHg4mq2BJGsn434wM8gDcwGc9jI/qgiYcDQJnjZ41tUpThIyIiD/QONCE52axGdIyKmUAiN+cCylqUPbGlTNbP3XV7y2Mv8ihu6ExEROWSj8m+ffWuKwzs2WNB+/bG7CDNTCCRK6Sf396P8f7gLRidNR0b0btM1s+TAaBjkQdbuxAR6SNDvHpt2hRs2FVEmAkk0sNqRZ3EOaidtAzmjHT09VLWz84WHY3cXvchv3MXFnkQEbmobVsrYmJsSEkxVfopfepU0ZCwEbOBDAKJKsr6ffoJar28CiHv/hvm3Nwym3gyALSG10VBv4dR6/4++PvK61CoeSO8JCIKfPK7ecaMPAwYIH0DK7drF4NAIjorZMc21B37hO6Gzq6yt3XO63YPrBdfoip75S8oNBi1IsKA9GygUO+i6EREVJq0fomPz9dVKbxqVQjatLGpXoNGwiCQyEkAWG9AP6/ehy0iElnzFnKeHxGRlyuFV60KrnRZT00zqdVG1qzJNVTfQAaBZNyhXmfNla1WhE+KV5tUZTC29FxBa1Q0Ctq1h7X5uawf5/kREXmXfMz26aO/UniywfoGMggkY7FaUXvebNRZtgjm7OxzZ8fGqnV4tYgIWFKSq3QXNphggoas+Kdh47q9REQ1SoI6fUGgCcnJJkMViTAIJGPN8xv1OMzZWWUuMycno97A/sgZPKzKWb+jaIqU+NloNq5rFfeYiIg8USncoIFNrResx4kTxinKY59AMtQ8P5OTAFCot7ymIXTTWy4HgBpMeAZT8SDW4Rb8Hy7EEfyvWQ/P7DgREVWJDMIMGaJ/4fbDh40TGjETSIFPzfMbr/63ot93cpkl9RRsUVEwpabqmhN4ClEYiiRsQa8S5zdqZK//JSIiXygQSUoKRkZGZX0DNSQkhOCyy2yGKBBxOdzdsWMH8vPzvbM3RB5YzSN08wb1r70FvBSAWFJSdBd65Pa5X/1bURiXiXCV/WuME6UCQA2xsTY1/EBERL6TDXzxxbyzpyr6dDep/06aFGqIVURcDgLj4+PRvn17PPfcc/jmm2+8s1dEbgz3Rl5/BRr07IJ6jw9U/8ppOV8qgF2R36kLMte8Bi0istzgLwIZmI5nYUPZYo/p0/NYA0JE5KN9Ayvv/WBCSooZiYn6KooNNRz8/vvvY8uWLXj77bexfv16XHjhhejduze6d++O8847zzt7SVTZfL+B/dWcPkfmlBR1/pnxT+m+LdXK5Wwlb2rnLvhi7j58OW+v+lD4ALfgQ9ziNPBT92fWkJRkrB5TRET+pFkz/U34EwwwLGzStFLfnC746quvsHXrVrzzzjvIysrCTTfdhF69euG2225DUFBgTze0Wm1ISzvXYsTTgoLMiIgIQ3p6NgoNtnKES8dutaqMn1T3Ovttp5lMsMXEAjYrzMePl/v7z/4myFz1KvK7FxV1yFDAlVeGITVVT8K8KADs0aNqHxZ83nnsPHbjMOqx1+Rx791rQc+edXRurSE2VsOBA9keG92pjmOPjAyDxaJvoLdKJTDXXXcdnn/+eaxcuRLXXnstPvjgAzzxxBO45ZZb1HlWIwyok/fn+G1cj9orlqh/Hef6Fc/3KycAFCZNgyX5GHIeHqBOV/SL58yIJ4sDQCG9ovQFgMCddxZWOQAkIiLvkvnaMTESfOnJf0nfQLP6LghUbqfrjh07poaE5e+PP/7ABRdcgDFjxqgAUILBJUuW4ODBg5g9e7Zn95iMYfNm1B/1BMzJx8pcZG/sLEuu6Z3vJ02bZZ5f+NhRsKSnl7ysbj2cTlxcIgB0tVfU8OH62w8QEVHNkIzejBl5GDCglu7rBHLfQJeDwA0bNqjAT4aCQ0ND0alTJ8yYMQOtWrUq3uaSSy5Beno63nzzTQaB5LLg7W8Dj/ZTWTxn7I2dM1evVatx6KFW7WjfAWmdu6hsosoomoCC9h1RcONNTlfz0NvmJTqa1cBERP5WIJKQEKpr+z17gtCrV2CO9LgcBD7zzDNo2bKlqg6+++67ER4e7nS7Sy+9FPffX9Rqg0g3qxV1nopXRR7lDvGqvs4awidPQNrnX6vMoBSBOAsa7XMCVbGHsFhQ0PEW9VeZd96xOFkPpMStq//OmsVqYCIif+sb+OqrwTh+vPK+gVu3BqFr1yB07x54gWCQO30CL7744kq369GDKyaQ62SOn7MhYKeNnZOPIfiLz9TQsGQGJeBzDATltMiaPtvldXvlTb9sWeXtAYYNyw/IDwYiokAmXwkzZ+oZFi76Hpk4MRRduhQG3A9+lwtD9ASARO5ytaefbC9zA9XQcExMicskAyjny+Wu2LYtCEOGyAdDZb8QTbjrLg4DExH567DwEJ3LyZ06FZgFIoHdx4X8jt45fqW3l0BPzfeTTOKJ40VzAM/2+3PFjh1BGDTIHgAae8IwEVGg69y5EElJIYb9vGcQSD5FAjdbbBOYU5LLNH92JJfIdsVz/ezz/dp3cPu+pfOMLBXkCq4RTETkv9q2tSIqyqarHdju3YFXIFKlPoFEetfv1c1iwZkXEtT/lhdeqfNNJrfm+lVEUv2yVJDeLCCrgomI/JvFAsyenXf2m6XiH/Vvvx2EKVMCayk5BoHksaCvztxZiLzO+fq9rijodg+wcSO02CZOL5cMoDtz/fT8ytNPY1UwEVEA6N5dmv0X6FpTWAoGZd54oHD5SJ56quJ1WE0mE2bOnFmVfSI/IcFd+OR4tWKHXenfUfb1e10O2nr1wt8d74Dpk0/U0LA59RRsUdHn2r14OPqSuYBJScG6t5fVQVgVTEQUGDp1smLrVj1bmgKqUtjlIHDLli2Ijo5GSEhRSjQlJUWdDg4OLg4CKcAzf/s/RcjunaidtLTMxaWffWnZIq1aVE+/zl1cC96qOMfPO3MBNTRooGHZslwv7xUREVWXRi7M77ZXCrdv7//TgdzKaS5duhRXX301CgsLceWVV2L58uW44oorPL935DNBn1TcWg4fQq21L8MiRRsusK/fK7dTHUGd+3MB9XnxRQ4DExEZtUBE7NkTGEFgleYEyqoN9nWEKTCHe2VOn32OX1jCzKKq3WrqAVhdXCn7Hzo0X/WWIiKiQC0QqdymTcEu1z0GRBAow77Z2dnq/zMyMtS/U6dOxccff+z5vaMaK/KoPXcW6g3op9bpdWSqxh6A1UV+0bkyb4SIiAJP9+6FahUoPYFgoDSPdjkIPP/887F7927k5ORg/fr1aNiwIa666ioMGTIEcXFxOHHihHf2lKo16xeeUFTc44kZnjIn0Fq6p5+PkCqvrVuDdbzpNcTGsiUMEVEgmzo1H3fcoW+0Z+lS/cWEATMn8LHHHsMzzzyDDRs2qNOTJ0/Gvffei/nz5+PVV1/FRx99hAMHDnhjX8mD2b7gjz+EOfkobE3OhxYUjLC5L5TZ1FMBoPB0Tz9PkFT+6NGhuo90+nTOBSQiCnQjRhTgvfcqD/DefTdIJRL8uVOEy0GgBHz//Oc/8e2336rikFatWqnz4+Pj0atXLzz//PPe2E/yVEuXsaNgSU8vc5nmqaCv1O1ISxcJAD3d088TEhNDkJWlLxnOuYBERMbQVneRiAlxcf7dLsat6uDWrVurv9IuvvhivPLKK57YL/JCAChz/MrjqcY+EvTl9H8UtmYXub1+b3VlAV3pC8i5gERExmCxAL1761tT+PRps0oojBsncwkNEgTu2rULn3/+OfLz84srhOXfM2fO4H//+58aEibfaOuiArHWbRA+aby6yNNdHNVwr6YhZ+hw5Hfq4rNBX2kyoTcjQ18WkMvDEREZS+fO+oJAsXJlMOLi8v3hq6/qQeDixYvVX926dVWfQKkWDgoKQlpaGsxmsxouJt9axUNW2pAVN2Cw4V7PtIXh8nBEREbT1oW+genp/ts82q0VQ3r06IEXXngBCxcuRHJyMmbPno3vvvtOVQg3b97cO3tKupo515nzgsrMOTJVIQB0FvT5w3BvZQ4e1JcF5PJwRETG7Rs4aFAtXWNou3YZJAiUFjDdunVTy8Ndfvnl2LlzpzpfVg55/PHHVdVwv37lzz0jDy7dtmcnam18q0SWz1mBh6mKlb3Z45+C1c+DPkdSzTV3bmVpfi4PR0RkZN27F6JHjwJs3Vr5sPCqVSFo08bmd0kDl4PAOnXqFK8P/I9//ANHjx5Fbm4uatWqpYJCOU3VO9zrqCpz/gJlqLciO3YE6fxlZ8KQIf45x4OIiDxj2bI8vPdeUKWdJDTNpL5b1qzJ9atOEi43i5bG0Fu3blX/f+GFF8JisWDfvn3q9KFDhxASom8iJblZ4Tuwf5lVPFyhVXJ+dvzTyFy+GhlbdiLtwHcBFQBKRfCkSdIXUJ9mzWxe3R8iIvJtFgvQt6/+oG7y5FC/Wk7O5UygDPlKw+jMzEwsX74c3bt3x4QJE9CmTRt88sknuOOOO7yzp0Yjr6IPPkDwwSMwRTcqqvCdHK/m+1Vp6bbwcFiyssqcr0VG4vTchQEV9JUmE3dTUvT/7mnUSN8akkREFLg6664UNiE52eRXRSIuB4HSH3Djxo34+eef1elnn31WVQV/9dVX6NSpEyZOnIiasHr1aqxbtw4nT55U/QqleXXbtm2LL//xxx8xY8YMVcASGRmJRx99FA8//DB8NeNXd/IEIPkYwj1U4Svz+2R4N+3zr9V8QscVQwo63IyCG2/y+7l+nqsIBiIi2BaGiIigvgsaNLDpbism69EHbBAoLrvsMvUnQkNDMW3aNNSkpUuXYuXKlSrIa9GihVq+btiwYdi2bZta6zg9PV1lL2+77TZMnTpV9TKUf8PCwtC7d2/44pCvRyt8HZduCwlBQcdb1J/RHD6sPws4eHBBoMfERESkg3wXDBlSgIQEfdOJNm0KxnPP+ceccpfnBArJBEoQtXnzZtUwevr06apieMyYMTh1yjP96PSSBtUSAI4bNw533323WtJu0qRJKvizr2H81ltvqX6GsqTdRRddpAI/yQQmJSXBp1it5Q75ujIEXHoQUzKAmavXBvRQr56CkIQESedXNsSrqSygNP4kIiIS8p0g2cDKv0OAU6eK+gYGZCZwzpw5aui1QYMGWL9+PdasWaN6Bd50003Yu3evysYlJiaiukigl5OTgy5duhSfJ8UqkgW0+/LLL3HDDTeoptZ2MlS8YsUKFbRGR0fDF8gwbXlVv66u4JEV/7Tf9/LzTkFIReF00Zt73jw2hyYionPkO+HFF/MwYIB0lwicIWGXM4ESXElT6P3796sm0QcPHlTzAqVxtMwH/Oyzz1Cdjhw5gvr166s5ig8++CDatWuH/v37qzmKdsePH0fjxo1LXK9hw4bq35SUFPgKafisR0W/Q1TWb81ryBk3EXm97kVB+w6GDgBLFoRU3hYmPj7fr8r7iYioenTtWqi+I/RYty7YL6qEXc4EyvJw7du3V/9/1113Yfz48WjWrJk6fcEFF6j5d54kfQdvv/32ci9/8sknVZ9CCUTHjh2L2NhYlaF85JFHVCsbGf6Vy0u3rpG5jCIvL8/tfQsKcms0vVym2Bhd22lR0SXmCNqio5Hf534U3N0Fhe3aq6DPrcmePsJiMZf4t6okNa9X8+aax5/Xmjx2f8Jj57EbjVGP3Z+Pe/z4QqxeHVzpcnKnT5uxYEEI4uMLffrYXY4VrFYrateuXXTls8OrMvzqeNqTGjVqhF27dpV7+X/+8x8V5D399NO4+eab1XlXXHEF/vvf/+K1117DlClTVCNrmbvoyB78SfNrd5jNJkREhMGj7r4LaNoUOHasTGGIIkO9TZvCfPAg8OmnksYEYmJg7tABtSwW6EtS+4969YpeZ1UlD6deF19cCxERCJhj90c8dmPisRuPvx53//7A/PmVb7doUSimTw91OhjnK8fuVtT24Ycf4vDhw7DZbGr1kA8++AC//vor/vjjD4/voBR0SDavPN9//73699JLLy0+T/ZJrmNfvUSGgv/6668S17OfliDTHTabhszMM/C04BmzEfZoPxXwmRwCweIl3KbPQkF2AdCyNdDy7IWZgbW0mfxCkjdIZmYOrNaqNWx++20LnnsuVMdQsIYmTTRceWUOPJzMrrFj9zc8dh47j90Y/P24b7vNjPnzKw/isrOBe+8twOrV+dV67HL7ejONbgWBS5YsKXF60aJFxf9vX1KuurRq1Urdp7R9kT6FQtM0NVdR5gfaexu++eabKotpz1rKnEZZ8SQqKsrt+y4s9PwTWNi5G6yr16o+gabkY2WXcOvcDfDC/foieYNU5TGWiuABA/QEgEWmTcuDpsl9wu+P3Z/x2HnsRmPUY/fX427d2qa7b+CWLUHo0qWwzJrCvnLsLgeBMvzqS2QOoLR8kTY1Mkwt8xLXrl2rsoB9+/ZV28jlq1atUq1jBg0ahG+++QYvv/yyanPji6SVy9/duiHiu6+QdfAICmXFEINX+LpKJuSOGaN/ibihQ1kQQkREnu4baMLEiaEqEPTFr3CXg8AmTZqUmVsnRRfVnQF09Nxzz2Hx4sWYPHky/v77b9UwWlrX2AtWJNsnQaC0r+nZsyfOO+88taKI/L/PklfLLbegoGVrn/i14G8SE0N0d3cXnTr5QRkXERH5TN/AJUuCkZ1t1t030Bdbxrg1HCzzAaUlzKeffoqsrCxs2LBBNZCWoEvas1Q3mTcYFxen/spz9dVXq6phMkYWMCkpWPf2XCKOiIhczdOMGKF/FRFXli2tTi7XKMsavH369FEFGbJKiMy/EzLXbubMmdiyZYs39pNIN/nF5UoWkEvEERGRO9nA8HB9I3WNGlW+0ohfBIHSIPrKK6/E7t278dRTTxUHgTIUK8GhrNtLVJP0/+LiEnFEROQeSR7Mny/t5iQOKi/I01QRia+ONrkcBEoVrqy7Kz0BS88DlLV7f/vtN0/uH5HLDh/W/7LmEnFEROQuqfodMaKiRIIJGRkmPP98yQUr/DYIlJU2pDmzMxkZGWVW5iCqTtIWJiFBXoMVp95NJg2rVuWyIpiIiKpk8uR8RERUlA00YdmyEEyZEuL/QaAsGSdFIbIer51kBLOzs1VF7o033ujpfSTSXRAyebJ9km55Q8JFb9SVK3PL9G0iIiJyZx56enpl69MXBYKygIFfB4GyVvCZM2dUY+aHHnpIBYCzZs1Sp1NSUjBmzBjv7CmRjjdicnLlb8S6dTXVs4mIiKj65qGb8MQTISph4bdBYExMDN5++2088sgjqihEmjNLUNi1a1ds3rwZ559/vnf2lMhDb0RZ2FsCRiIioqpypfJXvn9mzIB/9wmMiIiosCcfka8XhPhqzyYiIvIvbdtaERVlQ2qqvu+ghQuB4cPhn0Hg1q1bK92mR48e7u4PURUbRMsvMpPf9mwiIiL/YrFI+7w8DBpUS9f3T2oqsG+fGW3b2vwvCJw4caKaB2jvD1iaXMYgkKrbsGGhOhtEa4iN1Xy2ZxMREfmf7t0LMWxYvir+0BMI+spolFvDwYsWLcLll1/u+b0hcsO2bUHYulX/MnHTp7M3IBERedbUqfk4dsyEbdtC/GY0yq0gsGHDhmjSpInn94bIjWHgCROkLYy+X1Xx8fnsDUhERF6xYkUePv44COnppgq/l/79bwvati30v+pgIl8iVb56J+PK0j1cIo6IiLzFYgHmzJGl5ET52b4lS4LVKFZNc2sPTp48ieTk5BLzAM1mM+rWrYs6dep4cv+IKrR7t/6X8JAhBRwGJiIir4qK0lOgaEJcXKjqWVuT30tuBYEjR450er4Eg0OGDMHo0aOrul9EuoaC163T9xKuW5dZQCIi8q2etYmJIRg3Lt9/gsAXXnjB6fk2mw2fffYZXnnlFQaBVC3kzZOVpa8iODGRxSBEROR9jVwo+pBhYUlQ1NT3k8tBYM+ePcu97OKLL8auXbuquk9ELvQFrNyddxZynWAiIvK55tHZ2TWbDXS7MOTDDz9UWUFZK/jPP//EO++8g+joaHz33Xee3UOicgpC9PUFlM7sBV7fHyIiIsfm0RUVhjhauTK4xtYTdjkIzMnJwYABAzB06FBs2rQJu3fvRmZmJt544w306tULBw8e9M6eErkx5yIiwsbG0EREVK26dy9Ejx76EhDp6TW3nr3LQeCLL76I77//Hi+//DL2799fvHLI7Nmz0ahRI8yfP98b+0lUwp49+t4wgwezIpiIiKrfsmV5CAvTtzRcTa0g4nIQKJk/GQJu27atqgZ2bCA9bNgwHDhwwNP7SFTOCiEVpdo1lQVkRTAREdUEiwUYMUJfNrCmVhBxOQiUod/yVgupX78+zpw544n9InJK5k2MHm1fIaSiX04mZgGJiKhGxcXlq4REeUkLk0nWs6+5aUsuB4HNmzfH9u3bnV72/vvvq8uJar4tDNCsmb40PBERkTdIImLevDwUDZxqZQLAml7P3uUWMTLkK82iMzIycOutt6oh4S+++AKbN2/Gm2++iXnz5nlnT8nwXGkL40sLdBMRkXF17VqI1atzMXlyKJKTz41gxcRoKgCsyfXsXQ4C77jjDsyZM0cFe9ImRsyaNQtRUVF47rnn0KlTJ2/sJ5FLbWGio1kVTEREvqFr10J07lyIL74IQlZWbYSH56B165pdMs7tZeO6deum/g4fPqwygvXq1UOzZs3U+sFE3qK/ekrDrFlcIYSIiHyHxQLcdJMNERHSFsaGQh9Yw8CtINBOAj9Hn376aZn5guUtM0fkqsOH9f3I6NGDK4QQERF5JAh86qmn9GyGQ4cO4dtvv0WrVq10bU/k+nxAmedXXkZQQ4MGGpYty63mvSMiIgrQIHDLli26b1AKRdauXVuVfSJyWhVc+XxAE4YMqbmFuImIiAIuCPzpp5903ZisIiIrhxB5Ogu4ZIm+qmC2hSEiItLHo5UcjiuIEHkyC5idre+lyrYwRERE+rCclwKmN6B0ZWdbGCIiIn0YBFLA9AbkMnFERET6MQgkn7Z7t74uRmFhNrVGIxEREenDIJB8eih43Tp9QeCIEcwCEhERuULXN+zDDz+s68aOHz/u0p0TVWTevGBkZVX+O6VuXWYBiYiIvBIEapq+istGjRqpPyJPZAEXLdJXENK3L7OAREREXgkC2fyZqtuMGUB2tr6WQ506sSKYiIjIVZwTSD6ZBZwzR9+2bAtDRETkHgaB5KNzAfVty7YwRERE7mEQSD6XBVy+nG1hiIiIvI1BIPltc2i2hSEiInIfg0DyKWwOTUREVD0YBJLP2LEjSPc6wcwCEhERVY2+tAtRNcwFnDQpVMeWGiIiNGYBiYiIqoiZQPKZuYApKfJyrKw3oIkVwURERB7AIJD8ai6gaNbM5tV9ISIiMgIGgeQTQ8Hr1ukPAhs10reMIREREZWPcwKpxiUmhiArS8/vEQ2xsRpXCCEiIvIAZgKpxrOAeiuCxfTpeZwPSERE5AEMAslvmkPHx+eja9dCr+8TERGRETAIpBp14kRl1cBFGjRgc2giIiJPYhBINWrPHn1ju0OGsC0MERGRJzEIpBqzbVsQtm6V+YBaJc2hmQUkIiLyNAaBVGMFIRMmyAohMhxc0ZAwm0MTERF5A4NAqrGCkNRUfS8/NocmIiLyvIAIArOzszF16lTcdNNNaNWqFQYPHoxDhw6V2Gbfvn3o1asXWrZsiU6dOmHnzp01tr+kvyBEsDk0ERGR5wVEEDht2jR89tlnWLhwIdavXw+LxYJBgwYhLy9PXS4B4dChQ9GhQwds3rwZ9957L+Lj41VgSL5dEBIdbWNzaCIiIi8IiCDwvffew4MPPojrrrsOF110EUaPHo3k5GQcPHhQXf7KK6/g0ksvRVxcnLp84MCBKhu4atWqmt51Q9JXECI0zJrF5tBERETeEBBBYFRUFHbt2oXU1FTk5+dj48aNaNCgAS644AJ1+Zdffol27dqVuE7btm1x4MABaBqHGn2zIATo2bMQ3buzOTQREZE3BMTawTNmzFDDuzfeeKMaCq5Tpw7WrFmDunXrqsuPHz+Oxo0bl7hOw4YNkZOTg/T0dERGRrp1v0FB3ouhLRZziX8Dxf79Zt0FIV27al59jH1RoD7vevDYeexGY9RjN+px++Kx+3wQePToUdx+++3lXi7z+n7++Wecf/75mD59ugoAV65ciZEjR6r5gTExMcjNzUVISEiJ69lPS+bQHWazCRERYfC2evVqI5C8/77+bZs1C0FERMnnzSgC7Xl3BY/dmHjsxmPU4/alY/f5ILBRo0ZqqLc8R44cUYUh77//PmJjY9V58+fPR+fOnVU2cNKkSQgNDS0T7NlP167t3hNhs2nIzDwDb5FfCfIiyczMgdVqC5ih4FWr6lQ6DCzOOw9o2VIytYFx7EZ+3vXisfPYeezGYNTjrq5jl9vXm2n0+SAwODhYFXOUZ/Xq1WpOoD0AtF+nRYsW+P3339VpyQb+9ddfJa4npyVraB8ydkdhofdfvPIiqY77qQ5z54YgK0tPaxgNS5fKdoFz7EZ+3l3FY+exG41Rj92ox+1Lx+4bg9JVIHP9ZF6fY5Bns9lUZfA///lPdVp6B37++eclrrd//35VTWw2+/1D4DdZwKQkqQiu3L/+VYg+fby+S0RERIbm9xHQrbfequYDPvHEE/j6669VT8BnnnkGKSkpePjhh9U2/fv3xzfffIO5c+eqy2WYeM+ePaqXIFXfCiEZGfpebiNGsCKYiIjI2/w+CJQh3VdffRVNmjTBiBEj8MADD6gA8I033kDTpk3VNs2bN8fSpUvx4YcfokePHtiwYQPmzJlTpm0M1fwKIRERNrRrV/MpciIiokDn83MC9RaPzJs3r8JtOnbsqP7It1cIGTy4gM2hiYiIqoHfZwIpUFYI0VQWMC7OvZY9RERE5BoGgeQjK4SYmAUkIiKqRgwCyesFIXpXCGnWjHMBiYiIqguDQPKJghDRqBHXcSYiIqouDALJqw4f1vcSi462oW1bq9f3h4iIiIowCCSv2bEjCAkJIZUWhMjfrFl5nA9IRERUjRgEktcKQiZNkoIQUfGQ8LBh+ejenQ2iiYiIqlNA9Akk3ywISUnR8xvDhLvu4jAwERFRdWMmkGq8IMSVbYmIiMgzGARSja4QIlgVTEREVP0YBFINrRAiNMTGsiqYiIioJnBOIHlxhZDKTZ/OqmAiIqKawEwg1dgKIUOH5qNrV1YFExER1QQGgeRRu3frTy536sRhYCIioprCIJA8OhS8aZO+IJArhBAREdUsBoFUA0PBXCGEiIiopjEIJI/R2+/vzjsLuUIIERFRDWMQSB6jt9/f8OEFXt8XIiIiqhhbxJDHpKZKJtAeCJrK6QuocS4gERGRD2AmkDxWFPLMM9IfsPwAUDz/POcCEhER+QJmAskjEhNDkJJS0W+KosAwKopLxBEREfkCZgKpynbsCEJCQohHi0eIiIjIuxgEUpWHgSdNsg8De654hIiIiLyLw8FU5d6AFQ8Dn8MG0URERL6DmUCqEleGd3v3LmBRCBERkY9gEEhV4srwLtcKJiIi8h0cDiYv9wYU7A9IRETka5gJpCoVhYwfX1FvQBQHiNOnsz8gERGRL2EQSFXqDZieLi+hiuYFmhAfn4+uXblWMBERkS9hEEhuZwGTkoJ1bdusmc3r+0NERESuYRBIbreGycjQ9/Jhb0AiIiLfwyCQ3LJ7t76aoogI9gYkIiLyRQwCya2h4E2b9AWBgwezNyAREZEvYhBIbg0Fp6ZW/tKpW9eGuLj8atknIiIicg2DQPLaUHDfvswCEhER+SoGgeS1oWCuEEJEROS7GASSV4aCo6NZEEJEROTLGASSS5Ys0dcbsHdvDgUTERH5MgaBpNuUKSF47z0OBRMREQUCBoGky7ZtQVi2LKSSJeKKcCiYiIjI9zEIJF3FIBMmhOoKAAWHgomIiHwfg0DyWDGIHYeCiYiIfB+DQKrUiRP6MoCCQ8FERET+gUEgVerwYb0vEw2zZuVxKJiIiMgPMAikSucDrl0rbWG0SrbUMGxYPrp3L6ymPSMiIqKq0Nfvgww9HzAlpfLfCvfcU4ipU7lOMBERkb9gJpA8Mh+wc2dmAImIiPwJg0Cq0J49+ib4NWpU2XAxERER+RIGgVRhg+itWyubD6ghNpYVwURERP6GQSDpaBBd0ZCwCf36sTk0ERGRv2EQSFVuEN2smc3r+0NERESexSCQnNq9W3/hOOcDEhER+R8GgeR0KHjTJn1BIFcIISIi8k8MAqkKQ8FcIYSIiMhfMQgkt4eC77yzkCuEEBER+SkGgeT2UPDw4QVe3x8iIiLyDr8KAp999llMnDixzPn79u1Dr1690LJlS3Tq1Ak7d+4scXleXh6mTp2Kdu3a4dprr8XYsWORlpZWjXseeEPBnAtIRETk3/wiCLTZbHjxxRexfv36MpcdOnQIQ4cORYcOHbB582bce++9iI+PV4Gh3XPPPYdPPvkEixYtwiuvvILDhw/jiSeeqOajCKxl4nr3Zm9AIiIif6a/D0gNkSBv0qRJ+P333xEbG1vmcgnqLr30UsTFxanTF110EX744QesWrVKZf5OnDiBrVu3Yvny5WjVqpXaRgJKyRj+97//VZlBcn2ZuE6dmAUkIiLyZz6fCdy/f78K7Hbs2IGmTZuWufzLL79UwZ6jtm3b4sCBA9A0Tf1rP8/uwgsvRKNGjfDFF19UwxH4Dy4TR0REZBw+nwl86KGHKrz8+PHjaNy4cYnzGjZsiJycHKSnp6tMYEREBEJDQ8tsI9etiqAg78XQFou5xL/Vu0xcRUx4+OF8hIYGzrH7Eh47j91oeOzGO3ajHrcvHnuNBoFHjx7F7bffXu7lMq8vMjKywtvIzc1FSEhIifPsp/Pz81UwWPpyIUGhFIy4y2w2ISIiDN5Wr15tVIcPPgBSU/Vte/XVoYiIKBlU+/Ox+yIeuzHx2I3JqMdu1OP2pWOv0SBQhmR37dpV7uX169ev9DYkmJNgz5H9dO3atVGrVq0ylwsJAOVyd9lsGjIzz8Bb5FeCvEgyM3NgtXp/bd6DB2UuYC1d24aHS5bVFjDH7kt47Dx2HrtxGPXYjXrc1XXscvt6M401GgQGBwer+X5VERMTg7/++qvEeXK6Tp06qFu3rhoqzsjIUIGgY0ZQtpEgtCoKC73/4pUXSXXcT3S0vqpgaQ3TunUhCquhR3R1Hbsv4rHz2I2Gx268YzfqcfvSsfvGoHQVSMXv559/XqaY5LrrroPZbMb111+vWszYC0TEkSNH1FzB1q1b18Ae+6Z33rFUWhDCZeKIiIgCh98Hgf3798c333yDuXPnqnYya9aswZ49ezBo0CB1uWT7unTpgsmTJ+Ozzz5T244ZMwY33HADrrnmmprefZ+pCl62rOy8ydKGDcvnMnFEREQBwu+DwObNm2Pp0qX48MMP0aNHD2zYsAFz5swp0TZm2rRp6vTIkSMxcOBANGvWDAsXLqzR/fYVUhUcH2+vCq5oSNiEu+5iWxgiIqJA4fMtYhytXbvW6fkdO3ZUf+WR+YHTp09Xf1RSYmII0tLMHl1NhIiIiHyf32cCyX07dgQhIaHyYWC7Ro0qmjNIRERE/oRBoIGHgceO1d/rT6qCuUoIERFR4PCr4WDy7DBwerqe3wBF2T9WBRMREQUWZgINmgVMSpI1gvUZMYJVwURERIGGmUAD2r/fgowMffH/uHH5iI8vu+IKERER+TdmAg1Ib5VvgwY2jB3LAJCIiCgQMQg0IL1VvkOGFHAeIBERUYDicLABpaZKJtAeCDrLCmqIiNAQF8csIBERUaBiJtCARSHjx4dWGACKOXNYDUxERBTImAk0mGHDQitpDVMUGEZFsTE0ERFRIGMm0EC2bQvC1q36WsNwiTgiIqLAxiDQQMPAEybIMLC+4I5LxBEREQU2BoEG6g2Ymqrv6Y6I4BJxREREgY5BoEHs3q1/+ufgwWwNQ0REFOgYBBpkKHjTJn1BYN26NraGISIiMgAGgQagfyhYQ2IiW8MQEREZAYNAA9Bb6XvnnYXo3r3Q6/tDRERENY9BoAHorfQdPrzA6/tCREREvoHNog1AzzJxsbEaK4KJiIgMhJlAAxSFPPts5cvEPf885wISEREZCTOBBigKSU7mMnFERERUEjOBAU5vf0AuE0dERGQsDAIDfCh43Tp9QSCXiSMiIjIWBoEBLDExBFlZlT/F0dFcJo6IiMhoGAQGcBYwKSlY17a9e3OZOCIiIqNhEBjABSEZGfqe3k6dmAUkIiIyGgaBAUpvoUdEBIeCiYiIjIhBYIA6fFjfUzt4MIeCiYiIjIhBYEDPB6yo4ldTWcC4uPxq3DMiIiLyFQwCA7QquGg+YEVDwiZmAYmIiAyMQaCBq4KbNbN5fX+IiIjINzEINHBVMBtEExERGReDwADDqmAiIiLSg0FggNmzR98kP84HJCIiMjYGgQFk27YgbN3KqmAiIiKqHIPAACoImTAh9GxFMKuCiYiIqGIMAgOoICQ1Vd/TyapgIiIiYhBosIIQwapgIiIiYhBosGXioqNZFUxEREQMAgPCjh1BSEgIqbQgRP5mzcrjfEAiIiJiEBgIBSGTJ0tBiKh4SHjEiHx0715YLftFREREvi2opneAql4QkpxceSwfHq5h8mS2hSEiIqIizAQapCAkK8usAkYiIiIiwSDQIAUhrlYQExERUWBjEOjn8wHXrq1shZBz2BqGiIiI7Dgn0I/J8G5Kip44XkNsrMbWMERERFSMmUA/5srw7vTpbA1DRERE5zAI9GN6h3fj4/PRtStbwxAREdE5HA72Y6mpkgm0B4LOsoIaYmI0xMWxNQwRERGVxEygHxeFjB9fUZPoouBw2jQOAxMREVFZzAT6qcTEEKSnVxTDFwWGUVGsCCYiIqKymAn00yxgUpK0hqkcewMSERGRMwwC/bQ1TEaGvqeOvQGJiIjIGQaBfkhvdi8iwsbegEREROQUg8AAXipu8OACFoUQERGRUwwC/XY+YEXDvJrKArI1DBEREQVMEPjss89i4sSJZc7ftGkTunXrhmuuuQZ33XUXkpKSYJWI6az09HSMHTsWrVu3xg033ICpU6ciJycH/lgVXDQfsKIhYROzgERERBQYLWJsNhvmz5+P9evXo2fPniUu27ZtG6ZMmYJnnnkG7dq1w3fffaf+Pz8/HyNHjlTbPPHEEyroe/nll5GZmYlJkybhzJkzmD17NgKxKrhZM5vX94eIiIj8l18EgYcOHVJB2++//47Y2Ngyl7/xxhvo0aMH7r//fnX6ggsuwJEjR7BhwwYVBP73v//F559/jl27duGiiy5S2zz//PMYNGgQxowZg0aNGsEfsCqYiIiIDDUcvH//fhW87dixA02bNi1z+bhx4zBw4MAS55nNZvz999/q/7/88kucd955xQGgkCFhk8mEAwcOwF/s3q0vZmdVMBEREQVEJvChhx6q8PLrr7++xOnTp0+r7GCHDh3U6RMnTiAmJqbENiEhIWjQoAFSUlLc3q+gIO/F0BaLucS/MhS8aZO+p2vo0AKEhvpFfK/r2I2Ex85jNxoeu/GO3ajH7YvHXuNB4NGjR3H77beXe/m+ffsQGRmp+/ays7MxfPhw5OXlIT4+Xp0ncwEl6CstNDRUbecOs9mEiIgweFu9erXVvx98AKSm6tkemD49FBaLfV1h/2U/diPisRsTj92YjHrsRj1uXzr2Gg8CZT6ezNUrT/369XXf1smTJzF06FAVWK5evbp46LhWrVqqSKQ0CQDr1Knj1n7bbBoyM8/AW+RXgrxIMjNzYLXasH69FISUDWRLe+ihfGRmFsCflT52I+Gx89h57MZh1GM36nFX17HL7evNNNZ4EBgcHFxirl5Vikek0EOqiF9//XU0b968+LLGjRvjvffeK7G9BIUZGRlo2LCh2/dZWOj9F6+8SPLybNiwQd9TddddhdWyX9VBjj1QjsVVPHYeu9Hw2I137EY9bl86dt8YlK6iP//8E4888ghq166NN998s0QAKKQ34PHjx1V1sZ1UCzubT+irVcGpqZU/VdHRLAghIiIiAwWBTz/9tMrsvfjiiwgKClLDwvY/0bJlS1x33XWIi4vDN998o6qNpem0tJXxh/YwetcK7t2bDaKJiIgI/jEcXFVS+WvP6t1zzz1lLv/5559VK5jFixerVUIkYygFIZ06dcJTTz0Ff7Bnj77IrlMnZgGJiIgoQIPAtWvXljgtmTwJ9CoTFRWFhQsXwt+8/bYFW7fa1wouLyOoITZW41AwERERGWs4OFBJb8Bx40LOBn8VrxXcrx+HgomIiEg/BoE+7OOPpTegvqeIawUTERGRKxgE+jBXFjPhWsFERETkCgaBPuzXX/Vtx9YwRERE5CoGgT48H3DBAvm/ijJ8cpmGWbPyOB+QiIiIXMIg0EfNmxeMtDRUWhDSo0chuncvrL4dIyIiooDAINBHs4DLl+vr3tOpEwNAIiIich2DQB9dJi4jQ99Tw4IQIiIicgeDQD9eJi4iggUhRERE5B4GgT5Ib3Zv8GA2iCYiIiL3MAj0QZLdi4iouCpYsoBxcfnVuFdEREQUSBgE+qDdu4OQnl7epUXB4bx5bAtDRERE7mMQ6IOVwZMnh1a4jWQJO3dmVTARERG5j0Ggj5HK4ORkeVrKKw4xIT3drLYjIiIicheDQB8cCvZkBTERERGRMwwCfWwoeN06fUEg+wMSERFRVTAI9CGJiSHIyqr8KYmOZn9AIiIiqhoGgT6UBUxKCta1be/e7A9IREREVcMg0A+XiuvUiVlAIiIiqhoGgT6CS8URERFRdWIQ6CO4VBwRERFVJwaBPkKye7GxNphM5QWDXCqOiIiIPIdBoI+Q7N706Xnq/8sGglwqjoiIiDyLQaAP6dq1EKtX5yImpmQQGBurYc2aXHU5ERERkSfo60xM1UYCPVkX+IsvgpCVVRvh4Tlo3bqQGUAiIiLyKAaBPkgCvptusiEiAkhPt6GQCUAiIiLyMA4HExERERkQg0AiIiIiA2IQSERERGRADAKJiIiIDIhBIBEREZEBMQgkIiIiMiAGgUREREQGxCCQiIiIyIAYBBIREREZEINAIiIiIgNiEEhERERkQAwCiYiIiAyIQSARERGRATEIJCIiIjIgk6ZpWk3vhD+Sh81m8+5DZ7GYYbXaYEQ8dh670fDYeexGYtTjro5jN5tNMJlMurZlEEhERERkQBwOJiIiIjIgBoFEREREBsQgkIiIiMiAGAQSERERGRCDQCIiIiIDYhBIREREZEAMAomIiIgMiEEgERERkQExCCQiIiIyIAaBRERERAbEIJCIiIjIgBgEEhERERkQg0Af8Oyzz2LixIllzt+3bx969eqFli1bolOnTti5c2elt/X666/j9ttvx9VXX42+ffvihx9+gC/bvHkzLr30Uqd/Dz/8cLnX27Ztm9PrHD16FP7kwIEDTo/js88+K/c6coxDhw7Fddddh5tuugnz58+H1WqFv0lJScGYMWPQvn17tG7dGgMHDsSvv/5a4XUmT55c5rG67bbb4OtsNhsWLlyIDh064JprrsHgwYPx559/lrt9eno6xo4dqx6XG264AVOnTkVOTg78UUZGhvqM69ixo3rNPvjgg/jyyy/L3X7ZsmVO3xP+6MSJE06PRT73AvV5l8+u8j7T5bvJU5+DvmjFihXo379/ifN+/PFH9OvXT73v5bPq1VdfrfR2du/ejbvvvlt9j/fo0UPFAl6jUY2xWq3avHnztEsuuUSbMGFCicsOHjyoXXXVVdqLL76o/n/VqlVaixYttE8//bTc29u8ebN29dVXa2+//bb266+/auPHj9duuOEGLTU1VfNVOTk52l9//VXi79VXX9Uuv/xybe/eveVeLyEhQevXr1+Z6xYWFmr+5PXXX9fuuOOOMseRl5fndPv8/Hztrrvu0oYMGaL9/PPP2rvvvque4wULFmj+RI6va9eu6jn85ptvtF9++UUbNWqU1q5duwpfr3369FHvCcfHypdf33aLFi3S2rRpo/3f//2f9uOPP2oDBgxQz2N5z7M8Lr1799a+++479Z6/9dZbtfj4eM0fPfbYY+q5/uKLL7TDhw9rU6dOVZ9Thw4dcrr9k08+qT67Sr8n/NEHH3ygPsdPnDhR4ljkcy9Qn3d5TZd+7t555x3t0ksv1TZu3OiRz0Ff9Nprr2mXXXaZeg7t0tLS1Pv+qaeeUt/jcvzyeijvcRD79u3TrrjiCu2VV15R15k1a5Z25ZVXqv/3BgaBNUSe0Pvvv19r27atdsstt5QJAp955hn1hedozJgx6sujPPKlIsGRXUFBgXbzzTdry5cv1/xFSkqKdv3116svzYoMGjRImzZtmubvpkyZoj3++OO6t9++fbv6QMjIyCg+780339Suu+46v/rAlABffvwcP368+Lzc3FytZcuW2oYNG5xex2azaddcc436QvEn8rxce+216ovO7u+//1aBkDyfpX311VfqsXH80P/444/Vl6jj4+UPfvvtN3UsX375ZYnnUb7w58+f7/Q6nTt31l566SUtECQlJWndunXTtW0gPe+OsrOzVTA7ceJEj30O+pLjx49rQ4cOVZ9NnTp1KhEEynfvTTfdpL6L7STxI9/V5ZHvePkh5EhiBYkJvIHDwTVk//79uOiii7Bjxw40bdq0zOUyXNKuXbsS57Vt21alzSV4Ly01NRW//fZbiesEBQWhVatW+OKLL+Av5syZg4YNG2LIkCEVbvfzzz+rx8/fuXoc8rq44oorUL9+/RKvi6ysLDXs4C+aN2+OpKQkNGrUqPg8s7no4ygzM9Ppdf744w+cOXMGzZo1gz/56aefkJ2dXeK9Wa9ePbRo0cLpe1Oe4/POO6/E60KGBk0mk3r/+5OIiAj1PF911VXF58lxyJ+z5zk/P199jvnbc+yJ93cgPe+Oli9froa0J0yYEJCf599//z2Cg4PVFCWZulX6OZXnUL6LHT+v5TV+6tQpp9NGvvrqqzLf/W3atPHa9ziDwBry0EMPYcaMGYiKinJ6+fHjx9G4ceMS50lwJG8mmTfibHsRExNT5jr2y3ydfBBIUCzzxEJCQsrd7u+//1ZzbeQN1q1bNzUvbvjw4Thy5Aj8jcyBO3z4sJr7KXPjHnvsMXzzzTflbl/e68I+x85fyJfdzTffXOK8tWvXIjc3Vz0Ozvzyyy/F28ncmjvuuAPPP/88Tp8+DV/m6ntTXtult5X3Q4MGDfzqObYHu/I8O76f//3vf+P3339X8yNLO3jwoJrfKtv861//wi233ILx48fjr7/+gj+S12xaWpr6vL/xxhvVfMiPPvrI6baB9LzbybG//PLLePzxx9VxeOpz0JfcdtttWLRoEc4///wqf17LDyP5oevsOt76Hj8XnpLHyMT98ibACpnkGRkZWeFtyJdh6UDIflp+LZdmnzxc+jqhoaHIy8uDPzwW8mFR0eRhO3vxgGREX3jhBfVYyWRyKYTZvn07oqOj4QsqO/YPPvhABTDyppeCB4vFgtdee01NIpaJ4xdffHGZ68ixyhdr6edY1OTzXNX3wLvvvot58+bh0UcfLbcIQL5QJVsoH4iSXZDMYEJCgno9vPLKK8WZRF9T0XtTftA4297Zj6Cafi97gmQ5nnrqKdx1110qwCsv0K9duzYWLFigRjhefPFFVSS2detW1KpVC/6isLBQBTbyPpbCv/DwcFXcJ6McL730UplsTyA+7+vWrUPdunVx//33l7uNBEOufg76i1wn3+MVfV7L9tX9Pc4g0AtkiGvXrl3lXu44lFceedJLB3v20/IBWZr9w7H0deSF42x7X3ss5MW/Z88e9atfhj8qIkPcEkTIUJN928WLF6svFfnQqGwo2VeOXYIZSfHL8yPDCUKGzaSiW7JdUhno7Hl29hyLOnXqwB/fA2+88QamTZuG7t27Iz4+vtzrDBs2TAX68ryLSy65RGUU77vvPnz77bdlhmJ8heN70zGIKe+96ew5tm/vS8+xq9577z2MGzdOVQjPnTvX6TZSCSlVxI4/EGTqgJz3/vvvq4pJfyFDgFLdKkGN/Xm/8sor1Y+W1atXlwkCA/F5l8BdntOKgnfJfrr6Oegvarn4eW0PEKvze5xBoBfIC7mq8xvkjVF6CEROywtHflk5296+jeN9y2nHeVe++ljs3bsXBQUF6Ny5s67bLZ1JlTeIzK2UIRVfoefYS2f1JJsl1ynvOGSYwJ4tsbO/TmryeXb3eZc5oKtWrVLDPzJnqKIfAPLY2ANAxwBByFCJrwaBju/NCy64oPh8Oe0s6ynPsQRMjuRLQVqt2IeS/I1kdmT6i7S6mj17doXTPUq/t+WYZSjRX6a1OAoLCytznrxmP/nkk4B/3mUurLRBkik7lXH1c9BfNG7c2On3eHmf1/I6l+94Z9fx1ue7b46fkMp2ff7552WKSeRXtLNhL5lbeOGFF5boqyTDETJvTnpO+TrZz8suu6zMl7wz69evVxNlZfjATgojZLKtPw0dyNyga6+9tkS/OHnO5MOzvOOQ51J+IcvxOr4u5MtGHj9/Yg8AJfiT4bLKMsCSJZThYkeSARS+/LzL8yJDgY7vTZn7I8+js/emnCcBj8ybs7N/Flx//fXwxyFByfTKvDgZ2q0oAExMTFRzAR2L32RqgcyD9uXn2BnJ+Mnndeled999953TYwm0510+0+V7qbLPJXc+B/1F69atVVGPYx9X+byW72pn9QDyGSivmdLf/fIakpjAGxgE+ihpOCkTY2XY5NChQ1izZo0aLh00aFDxNvILUf7sBgwYoOaabNmyRU2wfvrpp9Uwa58+feDr5AuxvA8LeQOdPHmyeL6EDA1JFZUEBfJBK4HAqFGjVAZBJhb7C3mzS9ArQZB8MUhhjPy/PKf2YEcyAXLs9uEBKYaQIdDRo0erD0nJHMgXqzz3FX25+hr5UJMAUF7nkimQY7T/SSWtkOdbTts/QCU4kGkAMvQv8wE//PBD9Rrv2rWrT1cWyvMi85vkvfyf//xHPW9xcXEqSyBz40q/viWjKa8N2UY+A+RLQ5oty7CaL2V79ZBirZkzZ+LOO+9UDc6lItL+PMs8sNKvb9nu2LFjeO6559R1ZZhQ3tvyeDgrJPFl8pqUKmcpXpKASD7HZQ7z//73PzW1IZCfd/tnennzex3f53o+B/1V79691Q/2SZMmqe9kma4kc9/lvWAn7wMpoLGTURGZOyrf5fKakXnP0vnhkUce8c5OeqXxDLlE+gqV7hMoPvzwQ9VkVfrCSf+hnTt3lrmeY08iIU2lO3bsqHqQ9e3bV/vhhx+8vv+eIL3B5syZ4/SyP//8U/XP2rRpU/F50kxVmtBKT0HpkSeNhpOTkzV/8/vvv6t9l4bP0iNPekRJE2i7/fv3q2OXfx17r8mxS9NR6UEl/dak8bg/mTx5sjouZ38LFy5U28jzLafl+bfbtWuX1qNHD/X6bt++vWqkKv0FfZ00MZcentIXVPqJDR48uPi4nL2+T506pV4Xsq00m5U+av5wnKUtW7as3OdZPvOcvb6lSbL0RZNjl/eFNNp17IvpT06ePKn648lrVd6vclzSNDvQn3d7L9fRo0c7vczxfa7nc9BfTJgwocx38tdff63dd9996ntc+iWuXbu2zHXkfEdbtmzR7rzzTvWa6dmzZ4WLRFSVSf7jnfCSiIiIiHwVh4OJiIiIDIhBIBEREZEBMQgkIiIiMiAGgUREREQGxCCQiIiIyIAYBBIREREZEINAIiIiIgNiEEhERERkQAwCicgwZJk6Wcqqoj9Zx9goPv74Y7VcoyxP5swTTzyh1umWNW2JKPAE1fQOEBFVpxYtWmDKlClOL7v//vthJLIer6xrvHbtWtx6663qz+7VV1/Fv//9byxbtkytc0xEgYdBIBEZSnh4OK655pqa3g2fMX78eOzbt08tcr99+3ZERUXhm2++UQvXy6L1t912W03vIhF5CYeDiYjKIcPDr732GiZMmIBrr70WN954I2bMmIG8vLwSQ8zy52jevHnqups3by4+T27n9ttvV7cj2bdffvml+DIZgi4dbB09erTMbXzxxRcYOHAgWrdujSuvvFJdZ9GiRbDZbE6vc+LECfTo0UNl/MoTGhqKuXPnIjMzE5MnT0ZWVhbi4uJwySWXYNy4cVV6/IjItzEIJCKqwIIFC5Camor58+dj0KBBWL9+vQoKy/PHH3/g5ZdfLnHeO++8g2nTpqFLly5YsmQJrFYrHn/8ceTn5+vej59++gmPPvooGjRogMTERDVM26pVKyxevBi7d+92eh3ZRjKfcp8Vufzyy/Hkk0/i/fffVwFtenq6Ot6QkBDd+0dE/ofDwUREFYiMjMTy5csRFBSEm2++GWazGS+88AJGjRqFiy66qMz2M2fORPPmzfH9998Xn5eWloa+fftizJgx6rQEf0OHDsWhQ4dUAKY3CJRM5Jw5c9Q+iPbt26vA7bPPPlMBpiPJ6L399tsqmLv66qsrvX3JMMocwG+//RZPP/00LrjgAl37RUT+i5lAIqIKdOvWTQWAdv/617+Kh2ZL++ijj/Dpp5+WyRQ+8MADqhhFhm0lOJPMYK1atdCkSZMS2xUWFhb/2Yd47WRYd+XKlSgoKFABoQRsCxcuVFlFOc+RDFdLhrBhw4YVDgU7koD0119/hclkwtatW13KUhKRf2ImkIioAo0aNSpxWgonxN9//13ifAnEJAsoQ8algzvHilvJItoDw3r16hVfduzYMVxxxRXl7kdubq4aUpbsngSJTZs2VfMLJUDVNK3Ets899xyCg4PV/dmzhhWR25Z5gOedd54appYiEckgxsfHV3pdIvJfDAKJiCog8+McnTp1qniY2NErr7yismdDhgwp3sZZVrFly5b45JNPVKZOevDdfffd6jIJwGQOn93JkycxbNiw4tNSkCLZPwnOZFi4Tp066vx27dqVuZ/BgwerwhMZfpY5jKUD2dLktg8fPozXX39dBZayfy+99BI6duyItm3b6niUiMgfcTiYiKgCMufOkQRiMmTqGBxJ4cjSpUtV5kyGeZ0FWVu2bFFZRAmyZD5h/fr1SwwpSxHGVVddVfwn1bmODhw4oILGO+64ozgA/O6779R8w9JDx82aNVPBomQBJatXkV27duGtt97C8OHD1b6JqVOnqqBUhrVLZzyJKHAwCCQiqsD//vc/1SpFVteQOXlSmXvffffh/PPPLzGfTgK3Tp06Ob0Nab8iQ7RSNbx//35Mnz5dBVdS3auXFHdIhu6NN97A559/roZ6JeMnAWlOTk6Z7SVQfOaZZ9R+S+DqzJ9//qlWC5HgzzHrKAGqDFtLi5nyVhMhIv/H4WAiogpIw2QJhkaOHImIiAg1Z04qex3JvDzpsVceCQClVcuaNWuQkZGBmJgYtX3pit6KSC9BmXcoGT4ZdpY5gRK4HTx4UGUrpUCkNFkBRDKHEtBJgYg9gyjktsaOHavmE0rFscViKXFdqTy2ryayadMm9O7dW/e+EpF/MGmlZxQTEZEijZcl+JPhWyKiQMPhYCIiIiIDYhBIREREZEAcDiYiIiIyIGYCiYiIiAyIQSARERGRATEIJCIiIjIgBoFEREREBsQgkIiIiMiAGAQSERERGRCDQCIiIiIDYhBIREREZEAMAomIiIhgPP8PNAsUIGyOl9cAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 1800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.model_selection import train_test_split\n",
"from sklearn.metrics import mean_squared_error\n",
"\n",
"\n",
"def generate_polynomial_data(n_samples):\n",
" X = np.linspace(-10, 10, n_samples)\n",
" coeffs = [-1, 3, 2]\n",
" y = np.polyval(coeffs, X) + np.random.uniform(0, 1, n_samples)\n",
" X = X.reshape(-1, 1)\n",
" return X, y\n",
"\n",
"\n",
"X4, Y4 = generate_polynomial_data(500)\n",
"X4_train, X4_test, Y4_train, Y4_test = train_test_split(X4, Y4, test_size=0.2, random_state=50)\n",
"\n",
"reg = Ridge(alpha=0.1)\n",
"reg.fit(X4_train, Y4_train)\n",
"Y4_pred = reg.predict(X4_test)\n",
"print(\"MSE для модели: \", mean_squared_error(Y4_test, Y4_pred))\n",
"\n",
"plt.figure(figsize=(18, 6))\n",
"\n",
"plt.subplot(1, 3, 1)\n",
"plt.scatter(X4, Y4, color='blue', label='Данные')\n",
"plt.scatter(X4_test, Y4_pred, color='red', label='Предсказание')\n",
"plt.xlabel('Признак X')\n",
"plt.ylabel('Целевая y')\n",
"plt.title('Данные с пол зависимостью')\n",
"plt.legend()\n",
"plt.grid(True)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "RayRFAUQ8_im"
},
"source": [
"### <font color='DarkOrange'>**Задание 6 [2 баллa]**</font>\n",
"\n",
"Приведите искусственный пример (можно даже очень неправдоподобный), когда линейная регрессия с $l_2$ регуляризацией гарантированно занулит какой-нибудь признак? Покажите (теоретически или программно), что признак действительно зануляется\n"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"id": "Gw3c956KAdel"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Коэфф Ridge-регрессии:\n",
"w1 (X1): 2.9883\n",
"w2 (X2): 0.0\n"
]
}
],
"source": [
"X1 = np.random.randn(100, 1)\n",
"X2 = np.ones((100, 1))*10\n",
"Y = 3 * X1\n",
"X = np.hstack((X1, X2))\n",
"ridge = Ridge(alpha=0.5)\n",
"ridge.fit(X, Y)\n",
"\n",
"print(\"Коэфф Ridge-регрессии:\")\n",
"print(f\"w1 (X1): {ridge.coef_[0]:.4f}\")\n",
"print(f\"w2 (X2): {ridge.coef_[1]}\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "6zxO0gPaAWyl"
},
"source": [
"<font color='MediumOrchid'>**Ваши выводы тут:**</font>\n",
"\n",
"В случае, если один из признаков константа, то модель занулит его.\n",
"\n",
"Это связано с тем, что при взятии производной, мы будем получать 0, что и приведёт к занулению признака."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "QU7Z9Ku8ycY_"
},
"source": [
"**Выводы** В первой части задания по линейным моделям мы должны были узнать:\n",
".\n",
"\n",
"1. Зачем нужна регуляризация.\n",
"2. Как отбирать значащие признаки.\n",
"3. Когда линейные модели работают хорошо, а когда плохо\n",
"\n",
"-----\n",
"<font color=\"white\" style=\"opacity:0.2025\"></font>\n",
"\n",
"Во **второй части** мы будем применять линейные модели для классификации реальных данных, где мы сможем проверить наши выводы, полученные на искуственных примерах. А также убедимся в полезности нормировки и научимся работать с разными видами данных.\n"
]
}
],
"metadata": {
"colab": {
"provenance": []
},
"kernelspec": {
"display_name": ".venv",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.13.7"
}
},
"nbformat": 4,
"nbformat_minor": 0
}