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November 28, 2019 12:59
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Триангуляция Делоне\n", | |
| "## Триангуляция\n", | |
| "В геометрии <b>триангуляция</b> - разбиение геометрического объекта на симплексы. На плоскости это треугольники. \n", | |
| "Пусть геометрический объект описывается набором точек на плоскости $S$. Триангуляция для конечного набора точек $S$ - задача триангуляции выпуклой оболочки $CH(S)$, которая охватывает все точки набора $S$. Отрезки прямых линий не могут пересекаться, но могут встречатся в общих точках, принадлежащих набору $S$. Эти отрезки назовём <b>ребрами</b>. \n", | |
| "Точки можно разделить на <b>граничные</b> - лежащие на границе оболочки - и <b>внутренние</b>. Аналогично, рёбра делятся на <b>ребра оболочки</b> и <b>внутренние ребра</b>. \n", | |
| "Каждое ребро оболочки соединяет две граничные точки, а внутреннее ребро соединяет две точки любого типа. Если внутреннее ребро соединяет две граничные точки, оно является <b>хордой</b>. Каждое внутреннее ребро находится между двумя треугольниками, каждое ребро оболочки - между треугольником и бесконечной плоскостью. \n", | |
| "За исключением некоторых тривиальных случаев, любой набор точек допускает более одного способа триангуляции.\n", | |
| "\n", | |
| "##### Теорема о триангуляции набора точек\n", | |
| "Если набор точек $S$ содержит $n>3$ н коллинеарных точек и $i$ из их внутренние, то при любом способе триангуляции будет получено $n+i-2$ треугольников.\n", | |
| "\n", | |
| "###### Доказательство\n", | |
| "$n-i$ граничных точек - вершины выпуклого полигона. При триангуляции их получится $n-i-2$ треугольников. \n", | |
| "Дальше нужно добавить $i$ внутренних точек. Здесь есть два варианта: \n", | |
| "* Точка оказывается внутри треугольника. В таком случае от каждой вершины треугольника проводится ребро к точке, и один треугольник заменяется тремя. Т.е. количество треугольников увеличивается на два.\n", | |
| "* Точка попала на ребро. В таком случае каждый треугольник, примыкающий к этому ребру, делится на две части. Т.е. количество треугольников снова увеличивается на 2. \n", | |
| "\n", | |
| "Получается, что при добавлении всех точек получится $n-i-2 + 2i = n+i-2$ треугольников\n", | |
| "\n", | |
| "Иллюстрация: " | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "from matplotlib import pyplot as plt\n", | |
| "from tqdm import tqdm, trange\n", | |
| "import numpy as np\n", | |
| "import imageio\n", | |
| "import io\n", | |
| "\n", | |
| "plt.style.use('dark_background')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
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\n", | |
| "text/plain": [ | |
| "<Figure size 720x720 with 4 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "A = np.array([[1,1], [2, 3], [3, 1]])\n", | |
| "p1 = [2, 2]\n", | |
| "B = np.array([[2, 3], [3, 1], [4, 3]])\n", | |
| "p2 = [2.5, 2]\n", | |
| "\n", | |
| "fig, axs = plt.subplots(2,2, figsize=(10,10), facecolor='0.1')\n", | |
| "axs[0, 0].scatter(A[:, 0], A[:, 1])\n", | |
| "axs[0, 0].add_patch(plt.Polygon(A, fill=False))\n", | |
| "\n", | |
| "axs[0, 1].scatter(A[:, 0], A[:, 1])\n", | |
| "axs[0, 1].scatter(*p1, color='r')\n", | |
| "for i in range(len(A)):\n", | |
| " A1 = np.array(A, copy=True)\n", | |
| " A1[i] = p1\n", | |
| " axs[0, 1].add_patch(plt.Polygon(A1, fill=False, color='r'))\n", | |
| "axs[0, 1].add_patch(plt.Polygon(A, fill=False))\n", | |
| "\n", | |
| "axs[1, 0].scatter(A[:, 0], A[:, 1])\n", | |
| "axs[1, 0].add_patch(plt.Polygon(A, fill=False))\n", | |
| "axs[1, 0].scatter(B[:, 0], B[:, 1])\n", | |
| "axs[1, 0].add_patch(plt.Polygon(B, fill=False))\n", | |
| "\n", | |
| "axs[1, 1].scatter(A[:, 0], A[:, 1])\n", | |
| "axs[1, 1].scatter(B[:, 0], B[:, 1])\n", | |
| "axs[1, 1].scatter(*p2, color='r')\n", | |
| "\n", | |
| "for i in range(4):\n", | |
| " P1 = np.array(np.append(A, [B[2]]).reshape(4,2), dtype='float32')\n", | |
| " P1[i] = p2\n", | |
| " axs[1, 1].add_patch(plt.Polygon(P1, fill=False, color='r'))\n", | |
| " \n", | |
| "axs[1, 1].add_patch(plt.Polygon(A, fill=False))\n", | |
| "axs[1, 1].add_patch(plt.Polygon(B, fill=False))\n", | |
| "pass" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Зададим набор точек S и определим функции для работы с полярной системой координат, а также функцию сравнения углов:" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "def cart2pol(x, y):\n", | |
| " \"\"\"Декартовы координаты в полярные\"\"\"\n", | |
| " r = np.sqrt(x**2 + y**2)\n", | |
| " φ = np.arctan2(y, x)\n", | |
| " return(r, φ)\n", | |
| "\n", | |
| "def pol2cart(r, φ):\n", | |
| " \"\"\"Полярные координаты в декартовы\"\"\"\n", | |
| " x = r * np.cos(φ)\n", | |
| " y = r * np.sin(φ)\n", | |
| " return(x, y)\n", | |
| "\n", | |
| "def cmp_angle(φ_1, φ_2):\n", | |
| " \"\"\"Сравнение углов\"\"\"\n", | |
| " delta = φ_2 - φ_1\n", | |
| " if delta < -np.pi:\n", | |
| " delta += np.pi * 2\n", | |
| " if delta > np.pi:\n", | |
| " delta -= np.pi * 2\n", | |
| " return delta\n", | |
| "\n", | |
| "def reshuffle_points(points):\n", | |
| " \"\"\"Перетасовка массива из [[x_1, ...], [y_1, ...]] в [[x_1, y_1], ...]\"\"\"\n", | |
| " return np.array([points[:, i] for i in range(len(points[0]))])\n", | |
| "\n", | |
| "points = np.random.rand(2, 5) * 10\n", | |
| "plt.figure(facecolor='0.1', figsize=(10, 6))\n", | |
| "plt.scatter(*points, color='r')\n", | |
| "pass" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Алгоритм триангуляции Делоне\n", | |
| "Введём несколько новых определений.\n", | |
| "* Набор точек - <b>круговой</b>, если существует окружность, на которой лежат все точки набора. Для этого набора точек данная окружность будет описанной. Для треугольника данная окружность пройдет через все его три неколлинеарные вершины. \n", | |
| "* Окружность будет <b>свободной от точек</b>, если внутри окружности нет ни одной точки из набора $S$. \n", | |
| "* Триангуляция для набора точек $S$ - <b>триангуляция Делоне</b>, если каждая описанная окружность для каждого треугольника свободна от точек. \n", | |
| "\n", | |
| "Из этих определений можно сделать два вывода:\n", | |
| "* Чтобы триангуляция существовала, нужно, чтобы в наборе $S$ было по крайней мере три неколлинеарных точки. \n", | |
| "* Чтобы триангуляция Делоне была уникальной, нужно, чтобы никакие 4 точки из набора $S$ не лежали на одной описанной окружности. \n", | |
| "\n", | |
| "Сам алгоритм на каждом шаге добавляет по одному треугольнику. Треугольник подключается к <b>границе</b> триангуляции. На шаге алгоритма ребра классифицируется следующим образом:\n", | |
| "* <b>Спящие</b> - ещё не обнаруженные алгоритмом\n", | |
| "* <b>Живые</b> - обнаруженные, но с только одной известной примыкающей областью\n", | |
| "* <b>Мертвые</b> - обнаруженные с обеими известными примыкающими областями. \n", | |
| "\n", | |
| "Таким образом, <b>граница</b> - совокупность живых ребёр. \n", | |
| "\n", | |
| "##### Шаг алгоритма\n", | |
| "На каждой итерации выбирается любое из ребер $e$ границы. Осуществляется поиск неизвестной области, к которой принадлежит ребро $e$. \n", | |
| "Если оно окажется треугольником $f$, который определяется вершинами ребра и некоторой третьей вершиной $v$, то ребро $e$ становится мертвым. Каждое из двух других ребер переводится в следующие состояние - из спящего в живое или из живого в мертвое. Вершина $v$ называется <b>сопряженной</b> с ребром $e$. \n", | |
| "Если же эта область - бесконечная плоскость, ребро объявляется мертвым и не имеющим сопряженной вершины. \n", | |
| "\n", | |
| "###### Поиск сопряженной точки ребра\n", | |
| "Чтобы определить, к какой области принадлежит ребро $e$, нужно найти для него сопряженную точку. \n", | |
| "Через концевые точки каждого ребра проходит семейство окружностей. По определению триангуляции Делоне, каждая описанная окружность для каждого треугольника должна быть свободна от точек. Таким образом, для поиска сопряженной точки нужно найти такую окружность, содержащую при этом точки ребра. Если окружности не существует, то точка соседствует с бесконечной плоскостью.\n", | |
| "\n", | |
| "##### Реализация алгоритма на Python\n", | |
| "Для начала нужно найти первое ребро. Для этого используем, например, один шаг алгоритма Джарвиса. Т.е:\n", | |
| "1. Берется точка с минимальной координатой по y\n", | |
| "2. Берется точка с минимальным полярным углом и максимальной дистанцией" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "def plot_step(*args, **kwargs):\n", | |
| " \"\"\"Построение шага алгоритма\"\"\"\n", | |
| " plt.figure(facecolor='0.1', figsize=(10, 6))\n", | |
| " plot_step_ax(plt.gca(), *args, **kwargs)\n", | |
| " \n", | |
| "def plot_step_ax(ax, points, frontier, triangles):\n", | |
| " ax.scatter(*points, color='r')\n", | |
| " for triangle in triangles:\n", | |
| " ax.add_patch(plt.Polygon(triangle, fill=False, color='w'))\n", | |
| " for edge in frontier:\n", | |
| " ax.plot(edge[:, 0], edge[:, 1], lw=3, color='r')\n", | |
| " \n", | |
| "def hull_edge(points):\n", | |
| " \"\"\"Первое ребро\"\"\"\n", | |
| " points = reshuffle_points(points)\n", | |
| " p1 = points[0]\n", | |
| " for point in points:\n", | |
| " if point[1] < p1[1]:\n", | |
| " p1 = point\n", | |
| " p2 = points[0]\n", | |
| " min_angle = 3 * np.pi\n", | |
| " for point in points:\n", | |
| " if np.array_equal(point, p1): continue\n", | |
| " vector = point - p1\n", | |
| " angle = cart2pol(*vector)[1]\n", | |
| " if angle < min_angle:\n", | |
| " min_angle, p2 = angle, point\n", | |
| " elif angle == min_angle and linalg.norm(vector) > linalg.norm(p2 - p1):\n", | |
| " p2 = point \n", | |
| " return np.array([p2, p1])\n", | |
| "plot_step(points, np.array([hull_edge(points)]), [])" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Теперь напишем функцию получения окружности через три точки" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "from numpy import linalg\n", | |
| "\n", | |
| "def get_circle(a, b, c):\n", | |
| " \"\"\"Получить координаты центра и радиус окружности через три точки\"\"\"\n", | |
| " vec = np.array([a[0]**2 + a[1]**2, b[0]**2 + b[1]**2, c[0]**2 + c[1]**2])\n", | |
| " x_mat = np.array([vec, [a[1], b[1], c[1]], [1]*3])\n", | |
| " y_mat = np.array([vec, [a[0], b[0], c[0]], [1]*3])\n", | |
| " d_mat = np.array([[a[0], b[0], c[0]], [a[1], b[1], c[1]], [1] * 3])\n", | |
| " d = 2 * linalg.det(d_mat)\n", | |
| " x = 1 / d * linalg.det(x_mat)\n", | |
| " y = -1 / d * linalg.det(y_mat)\n", | |
| " center = np.array([x, y])\n", | |
| " r = linalg.norm(center - a)\n", | |
| " return center, r\n", | |
| "\n", | |
| "def get_circle_coords(center, r):\n", | |
| " \"\"\"Построить окружность по радиусу и центру\"\"\"\n", | |
| " circle = np.array([np.array([r, phi]) for phi in np.linspace(0, np.pi*2, 100)])\n", | |
| " circle = np.array([np.array(pol2cart(*p)) + center for p in circle])\n", | |
| " return circle\n", | |
| "\n", | |
| "def same_side(edge, p1, p2):\n", | |
| " \"\"\"Проверить, находятся ли точки p1 и p2 по одну сторону от edge\"\"\"\n", | |
| " edge_vec = edge[1] - edge[0]\n", | |
| " p1_vec, p2_vec = p1 - edge[0], p2 - edge[0]\n", | |
| " edge_angle = cart2pol(*edge_vec)[1]\n", | |
| " p1_angle, p2_angle = cart2pol(*p1_vec)[1], cart2pol(*p2_vec)[1]\n", | |
| " p1_delta, p2_delta = cmp_angle(edge_angle, p1_angle), cmp_angle(edge_angle, p2_angle)\n", | |
| " return p1_delta * p2_delta > 0\n", | |
| "\n", | |
| "def get_distance(edge, center, r, candidate):\n", | |
| " \"\"\"Расстояние от ребра до другого конца окружности.\n", | |
| " candidate указывает, с какой стороны считать\"\"\"\n", | |
| " p1, p2, p0 = *edge, center\n", | |
| " edge_len = linalg.norm(p2 - p1)\n", | |
| " sq = np.abs((p2[1]-p1[1])*p0[0] - (p2[0]-p1[0])*p0[1] + p2[0]*p1[1] - p2[1]*p1[0])\n", | |
| " dist = sq / edge_len\n", | |
| " if same_side(edge, center, candidate):\n", | |
| " return r + dist\n", | |
| " else:\n", | |
| " return r - dist" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "С помощью новой функции можно проиллюстрировать поиск сопряженной точки для ребра" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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cMung6NGj5MiRg+PHj992Xvv27Wnfvj0AmTJlSqzNtpAuHbz5phpO/fijUumsqGhMrmRAY8rKoqyPUigv/M436GlUIRgUEkLej46R9QfY9RZs+ggKz89Fzl9TkG7nTp7h7vzva8gdsYuY3O+N+HfF4RUgaxzfy+tLQxxEtKgvJPmt1N0W9LRp0zJx4kQGDRrEhQsXbvteUFDQXeffjGXZOm3aNKZNUxnA/PnzPbXVNvLkgeHDIWdOGDMGfjBjVZJMarTyfgiog4Q8epV5AE0ImotSCA+5HoeBUvfcw/QcOQjbuZObV6+S6WAayueby+7UY9nbYjHnej5DypQDeOCBwqRChT35uD3/uxRKXQRli+xC2/WFKKjmb+mBfyE3y50Eo6KbAeh3l5xYi3ZmC4ElaLGQHNoiuyXooaGhTJw4kblz5/LTTz/d9f2jR4+SK1fM5iZnzpz8c2cKgp9SoYJW5pGR8tluN7XGiSYTyrF+HH3Y0iPx/A0VAa1EedqxpZ3luOceFlaqRO0VK7geHs6x4GCyAFHz5pGmcgNK3XyYAwcG8ddfwzl06HvSplWrhb/RY80dr5cFpTZWQkHFHkA/4BJa1c1E7QL8IQVuIPKZp7vlaxeRL/lJoBlyv7yDd/Prnc5a9H5bDMxHlcL+drP2lAR96ABjx44lIiKCCRMmxPr9RYsW0aJFCwDKlSvHuXPn7nK3+CONGsHIkRrl9txzRswTQzDKA5+JKiG/QsUzU11fz4RW6INQheSdApo1a1YmP/cch3LkoM5PP7EoKorN166RNSqKZpGRdP3iC27evMnNm0EEBz/DypWVyJXrGO+/r/qAuPgXfdCHo+15VqAREsZiwJeoeGUWEkQn+99noFjBQbTjOOj6f3PUfuBn9HOuR7uT5MQvKJZSE/1N7/YlBBYJdlusWLEi8+bNY9euXf+5UUaOHEnu3LkBmDp1KgDDhw+nTp06XL58mX79+rEtgUbXTu+22KKFgp7r18OgQcZf7in3olXv08iXewqJ+NdIWBKKI2fOnJmXevem7/nzpHn3Xf4JDub5yEiaul6zDbpJgDKxUqZMSZSr6UvFivDWW3D+PLz6Khw86Ln9lVEfmNbAfcjl8wkSfDeKVR1HU5SnnRXlbY9EmTHJhX6o7e5Y4CWbbUkq8XVbNO1zY6FLF+jYUXM7hw83ueWe8AD6wHRGPUwWo17W83Ev/ztjxoz06dOH3o89xo1Wrbjvjz+YjAYHd0XNmYagFX00dwo6QFgYvP22hlm/9BJERCTu5wlBhSo9idmyzwDeRs21/ImswP+hHPUN6KaYnLo3vwf0Rq0gPrDZlqQQn6C75XJJLgQFqWy/Y0dlsgwdasTcXQqisvR9aAX9FdruP4KKXxIS8/Tp0zNw4EAiIiKod/w4KSpVItUff9AaCXl1NL1mDurdkRAREaoqvXxZgeywsMT9XJHAd8g9VBSt0FuiQOoU1BjKXziNKk5bor/X72jlnlzohwLt41DcJBAxgn4Lzz+vLonffKOKxKS0bU0u3ItWO7uROLyDMi66494KNl26dAwYMID9+/dTrHBhvi9cmFqffML2qChKIx92EeSq2Y56sri7pTx6VJW8SRX1aPaglXoBtFNo4fraJFTF6S/MRt0KI4AFKGDq5BiBt4hC9QwRyF2X015zLMEIuouOHTUabs4c+Ogju61xPilQa9r9aEzYRLRa/R8a5JAQadKkoX///kRERFC2bFma1qzJPZ070+XMGcajFdSfQFq0qrqCOiR6OqXvVlEfOzbpog7yob+MhP19oAO6efVHvxd/4E+gBmoI9j8UOPWvypDEcR4FizMgUQ+0ZlZG0NGqvEsX+OknlfIb4qcqsAn5kZcAxYEXUFZIQqROnZrevXuzf/9+qlSpQv369XmzbVum7NtHXZSd0ZuYgN17aIXejsR3RTx6FPr2laiPGqW5rt7gOBLx4ijlcgzaRdT1zstbzlV0M+6MskDWcPdAj0BkF/AM+plH2WyLt0n2gt6wofzmK1dqW27K+OMmPfAhGqycEeX4Pol7rpVUqVLxwgsvEBERQZ06dWjUqBEtW7Yk1Y4d/ArcAzyMOgxG0wIJ/CiU0pgUjh3T8IzQUIl6xoxJfMFbiEC7h0YoLW4p+j2li+9JDmIKSt3MjWoCSttrjk/4GhiP/OpPJHCuP5GsBb1MGTV52rBB2SzGZx43FYEtaIjAOJSr7U7BbIoUKXj22WcJDw/nkUce4bHHHuOJJ55g69at1CIm97wKyhmOJi9y46wD3vTSz/DXX/Daa1qhDxumlsfeZCESw3Fo5bsVrQL9gRXIBXMD/R38ZZeRFF5C2T4TUGpqIJBsBT1XLuUqHzqk4/XkVELnAUGoVesa5G+sjdwMCY1GDQ0NpWvXruzbt49mzZrRvHlzmjZtyqZNmwClAi5EVZw1uD19LgRlzASjFDtvJhrt2KGbd/Hi6pgZS9eKJHEF/X5qu/6/AngD/yho2YncadETnB621xzLuY6CpOmJGS7i7yRLQU+bVh9q0IrtkqeRtmRCFiS6I1Fgsgx3l9DfSUhICJ07d2bv3r20bt2adu3a0bhxYzZsiBm+9hgqq9+Jgp93Nk7qh9IUn0Pi4m1WrYKPP9aEqQ4dLLgAmntZGvVSGYIEMq4mWk7iCFqd70MZMIEu6rtRF8/HUXDb30l2gh4cDG+8oYZbb70FR5JLGzYPKYLcHbWRH7s1GoMWF8HBwXTo0IHdu3fTqVMnOnfuTIMGDVi7du1t59VFqYibXP8+dcfrPIDyzOdibS/v2bNh0SLo3FmVpVZwEaVZPg/UQ3nfZay5lFc5heyNFvX69ppjOe+iG/AHKI7gzyQ7QW/fHqpUUfvbLVvstsaZPILEPCPqhvhZPOcGBwfTpk0bdu7cSffu3enevTsPPfQQv/zyy13nVkEVo3tRADG2xlcfIxdLzyT+DO4wbhwcOKBdWnYLE8k/Qb70YNTNsYF1l/Iat4r6PNTELFCJQpk+KYgZDOKvJCtBL1ECOnWCxYthwQK7rXEmnZB74AAKhK6N47ygoCBatGjBtm3b6NWrFz179qRWrVqsWLEi1vNLoMHMx5CgxdbKtL3re//DN+1er15Vn56QEB1TWJhEvgHd0CJQMLmLdZfyGqfQ6vwoek8UtNccS9mPulY2Qu4XfyXZCHq6dFqJHTsG771ntzXOpBfwBUq7q0Hced+PP/44W7Zs4eWXX6Z///5Uq1aNJUuWxPm69yERu4R8srHlq9+Dtr5r0YrWVxw+rI6aRYtCt27WXusoihksBSYDr1l7Oa9wAu3YgtA81mz2mmMpH6I6gnGoX78/kmwE/aWXIFs2pauZIOjdvImqHuegEv7YsliaNm3K77//zhtvvMHAgQOpXLkyP//8c7yvmxLNwMzmet0/4zhvOJAZtQzwdfbomjUwb54KzEpZ3F/2AsrfnwIM4/YmY04lAv3t8qC+NqnsNccyIolp7TDAZlsSS7IQ9AYNoE4dmDQJ9uyx2xrn8QYwGE1Ob83djbQaNWrE+vXrGTp0KEOGDKF8+fL84ObYpk9QxkonYHMc5xRFlXsfATsSYb83+PRTVZS+8gqktnh5dgO5XCajALA/iPpvqFq3CirICVRWopYAr6JJV/5GwAt65szQo4eGU8ycmfD5yY1eKK3uc9TV8NYe2fXr12ft2rWMHj2aUaNGUbZsWY9GB/ZGwvUWaggVFyPRynWoh7Z7kytX5HrJkUPDTKzmJrqJRYv669ZfMsnMQzup7iiIGKi8hHaJY+02JBEEvKD36KG8c1PWfzedkZtlNkpNjP71RGepvP/++7z77ruUKlWKOXPmxDonNi7KAaORCAyJ57xaKC/9be5OYfQ1O3ao02azZlC+vPXXixb1Kehm9rT1l0wyb6L+PR/hHymYieFv9H5sjv9l9wS0oFesCPXrw7RpKvs2xPAISkf8GWWXRAK1atVi+fLlfPLJJ3z88ceUKFGCWbNmeSTkoMq7r1Hw82nibncbhBpaHUI3FicwaZKqh3v1Ut8Xq4kW9YWoWrGh9ZdMElGoevckWgikt9ccy3gPBYQH222IhwSsoKdKBX36SMinT7fbGmfxIDH9xZsDFapVY/HixUyePJnPP/+cYsWKMX369NsmAHnCB6hAqD3xT1pvjlIjX0cl807g+nV13MybV0FSX3ADDZ3YjkSyrG8um2hOolhLfvzTLeEOF1FTuEfQDFx/IWAFvXVr9WsZN870abmVLKj67wowqEwZ5ixcyLRp05gxYwYPPvggX375JZGRiZ822RK5coZxe7Ot2HgNlV5/leirWcO6dfDrr+qRH9+gaW9yAfW3OY2ygpzeJmAtGmbSHYleIPIRqpuIz2XoNAJS0LNkgTZt1BJ361a7rXEOwWhlni8oiP3vvMMH8+fz7bffUrhwYSZPnsyNJM7by4JW5+tJOMDZEPlgR+H7NEV3+PBDuVy6d/fdNY+hXUtO1APG6R/OQSgr6TOUchpoXEYB+3rENFtzOk5/zySKTp1U9TfR3+t4vcx7OXPSALg4ciTTDhygUKFCTJgwgete2sKMRgVC3Uh4ovyryHfuVG/YkSMwa5ZSXh980HfX3Ygyjx5B6aRO5hpKR82OfM6ByKeoYZnT/xbRBJyg338/PPqoSvsP+6J+3A8oUaIEy0aM4MXjx9kUFkbON97go48+4tq1hEY3u09tFNwbA2xL4NwqQB3kf3WyN2z6dDh7Vg28fMkEVLH7Jvo9OZlN6EbeCf/yNbvLFRSwr4faVzidgBP0bt2UUzx1qt2W2E/RokX5+uuvWTJnDqVGjuSvqCjqRkRw1YtCDmpq9Cnqh+GOv/EVlKIYX9MvJ3D5Mnz9NVSurP7pvqQHqtD8HOdnkgxHu63/IwAFBb1PL+GbhnFJJaB+/wUKQM2ayiU+E1+v1wCncOHCTJs2jeXLl/P777/zffHiZD53jrY3b3LWgus9i9rt9kJ+x/h4ADU/+pCEh2Q4gXnz4N9/fb9Kv4yCy/fj/EySS6gYpyxytwUap1HgvgPOD1YHlKC3aaNV1dy5dltiDwULFmTKlCmsXr2a7du3ExYWxtp33qHrjRv/Nb7yNhlRcGwp6qaYENHVqBMssMUKrlyBGTOgQgXr+7zcyVrkwvKHTJJZwHJievIEGh8AaZFb0ckEjKBnzw716sH338O5c3Zb41sKFCjApEmT+O233wgPDycsLIyRI0dy7cIFJqBWuFb1C3kFNd562Y1zQ1ErgB/xTXtcb7FgAZw6pV76vmYQmlL/Ic7vANgHBcX72W2IBexAi5YX0IhEpxIwgt6qlYY8z5pltyW+I2/evHz66aesX7+eQ4cOERYWxrBhwzjnuqO9ihpfPY+2xd4mN9AXbUfjarx1K01QSp6/JR9dvQrz50OlSgq6+/TayHf7AHJrOJltaKXeB+e7JhLD/6Hh5U6e4BQQgp4xIzRuDEuWwMmTdltjPblz5+bDDz9k06ZNnDhxgsKFC/PWW29x9myMhzwnWj3PROX9VvASWnW7m9LVDa3M3XHNOI3vvoNr1+DJJ31/7WXAN2jwR17fX94jBgPpcP7NJzH8gIL5NmzU3CYgBL1hQ7U8/eYbuy2xlpw5czJ+/Hi2bt3K+fPnKVKkCK+//jr//nt3gf1gJLb/s8iW6Hzz6cBBN87Pg/zAn5NwjroTOXMGli3Tey1dOt9fv7/rONr3l/aIXah4rRdwr822eJvr6Mb6BLppOZGAEPQmTWDnTs2HDESyZ8/OuHHj2LFjB9euXaNYsWK8+uqrnDoVe3/CYqgp1v8h/7kVvIje1O4KTCvke/zCInt8wbffQpo00KiR7699CGW7tAZ8HJv1mCFAGuRvDjS+Qu97p46p83tBL1EC8uUDN+ct+BXZsmVj9OjR7Nq1i6CgIIoXL85LL73E8ePH433eCDSAebhFdqVDft15aEXmDk8iP/t+i2zyBeHharHbtKk91x8HnEH9053MXuRWew5NrAokfkWLpA52GxIHfi/ojz4KFy/C8uV2W+I9smbNyogRI9izZw9p0qShZMmS9O3bl2PHjiX43BJAM/ThP22RfR2Ry2WUm+fnRFOL5lhkjy9ZuFCdGAsX9v21z6C/6xOo37yTeR+1BGhtt42ASjkAACAASURBVCFe5ibqs1Mfzcp1Gn4t6GnTQu3a8m1ecUr/1SSQOXNmhgwZwr59+8iSJQtly5alZ8+eHDlyxO3XGIA69/2fZVbKd74JjSVzhydcx0AQ9JUrFRytb1Oqw/voRv2mPZd3myVo99bLbkMs4BvkPmxstyGx4NeCXq2agqGLFtltSdLImDEjb775JuHh4eTMmZPy5cvz/PPPc+jQIY9eJx8aPvAp8fchTwrlUUWgJ6mHzdGHOxDGuV64AL/9BnXrQrANn55zKCe9KUpldDIfABWAynYb4mW2oalGRtC9TM2acOKEAqL+SIYMGXjttdeIiIigQIECVK5cmW7duvHnn38m6vX6oFa073rVytvphkr23e2SeA9q3BUIq/NoFi+GrFl9M6YuNj5GmUJODzpOQy0MnOpvTgo/Ag1QJpmT8FtBT51ahR6rV/vfrNB06dLxyiuvEBERQZEiRahevTpdunThjz/+SPRrpkYd7+ZgXRVmWjT5fRZaKbrDQ2h7Gkgx63XrtFJ/6CF7rn8Ubfu74uzGXefRMJU2OE/4ksqPQCYUG3ISfivolSpJ1FetstsS90mTJg39+/cnIiKC0qVLU7t2bTp27Eh4eHiSX7s5GjBhZRVmIyADGmrsLg+hD/bvllhkD9evw4YNeg/axXgkKE4ucgGl+WXD+bNSPWUp6gfvNLeL3wp6rVoq9tiWUPNtB5A6dWp69+7N/v37qVy5Mg8//DDt2rVjzx7veZW7oXarK7z2infTHDhOwqPlbqUusArNzQwk1q3TeLqwMJuuj/qLPGXP5d3mZzSD1Ol2esoF9L62oSQhXvxS0IOC1P1u3Tr1b3EqqVKl4sUXXyQiIoLatWvzyCOP0KpVK3Z62elfEPmpP0NpVVaQCngU5Z67+yvPiQZSB1BG6X+sW6djZRsjfl+hLX8B+0xIkOto8HUTAi8nfTlQEmd1l/RLQS9QADJlgs3udISygZQpU/Lcc88RHh5O/fr1adq0KU8++STbLNpORA+nt3KcW33kbvnWg+fUcR0DUdDPnIHdu6FKFftsiP57O93t8j3y9de02xAvE92O2klZPH4p6GXL6ug0QQ8NDeWZZ55h3759NG3alObNm9OsWTM2W2xoczSY2bMkR894DBW2LPPgOXVQ+uQWKwxyAOvXQ9Gi9vR2Af29V6BAtZNZhka5NbHbEC+zHmUbVbXbkFvwW0E/fBgSqID3GSEhIXTu3Jm9e/fSsmVL2rRpQ5MmTdiwYYPl174fqIT1aYH10ErbkxmgFYANuO+i8Te2bYOQEChWzD4bvkUtkp2ck34ZvXecFkBMKheB7RhBTxLBwVC6tDNW5yEhIXTo0IHdu3fz1FNP0alTJxo2bMhvv7lbQ5l0opsEeeIK8ZR8SDA8cZ2kQG0IHPBnsozduyEy0l5Bj25F7HSx/BGNKXTyjScxrEUulyC7DXHhd4KeNy+kT29vdktwcDBt2rRhx44ddOvWjW7dulGvXj1Wr17tc1seBvahDBeriE639sTdUgwFwQJZ0C9fhoMHfT9A+lb2o7+/0wU9+r1Tw1YrvM9vKH20qN2GuPA7QY9OE/NC6rbHBAUF0bJlS7Zv307Pnj158cUXqV27NitXrvS9MahgpzbWBx0fQumKnuTmlHEdA9V/Hs3OnfKjB9m4RPsR/Y2cPKJuN4rBOMk94Q22uo423tNvw+8EvVAhjQT76y/fXTMoKIgnnniCrVu30r9/f/r27Uv16tVZunSp74yIhbJodWC1oFfDs9xzkG0XARvuuz5l1y7tGPPls8+GZUjMK9hnQoLcRLnzgSbo+1CM6EG7DXHhdxW5YWHwxx++yz9v2rQpgwcPJioqildffZUff3TOALVoV4iVgp4BCEOThjyhDGpiFKgB0Wiid4oFCsj9YgfREZuqgO+dfu7zG/A6SmG8YLMt3uIy8CfOcbn4naAXKgQrVlh/nUaNGjFkyBBCQ0MZNGgQCxYssP6iHlIJrYCtTPYp7Tp66gsviFqoBjp//63Fha+HR9/KCRRDcfrqdy1yE5ZDVZaBwh7MCj1RZMsGGTJAhIURwAYNGjB48GDSp0/PoEGDmDt3Ljcd2v2rLNb3SEmMLzwlkAv3Zo36O9euwdGjCtbbyVqcPY0e1KoAFDAPJEHfjWJZQVhXqe0ufiXouXLpeNiCdoJ169ZlyJAhZMmShbfeeovZs2c7VsgBMqJV8CSLr1MG+Ad1+HOX+1Fw5qAVBjmQQ4fs9aEDbET9Uu7D2h1bUjiMGrU5ZTXrLfagTqR5kfvFTvxK0HPk0NGNSWxuU6tWLYYMGUKOHDkYPHgwM2fOJMrJDWJcJNYV4imF8XwwRX7XMUBndt/FX3+p2C0oyL5WzrtdxwdxrqCDs9wT3iI6PyM39gu6X2W5RAu6NypEq1evzpIlS5g0aRKTJk2iePHizJgxwy/EHGKCMDviPSvp5MdzYc7vOh70piEO5vBhSJVKQy/sIvqm65TgXFzswfk2ekr0+jKHrVYIvxP0EyfUjzqxVK5cmYULFzJ16lSmTZtG0aJFmTp1KpGRkd4z1AcUQP2YrRpmAfKF58ZzYc6P2uVaaZuTOHVKRzsF/W+UJur01W84ck0EUudFI+iJJHt2+OefxD23QoUK/PDDD8ycOZM5c+ZQpEgRPv/8c27c8M9O3fnR9s7KHX60L9zTFXo24BRqXJQcOH1aRzsF/SYSS5vas7tN9Ljz7LZa4V1OoPe6EXQPyZw55sPjLmXKlGH+/PnMnTuX7777jsKFCzNx4kSuJ2WZ7wDyY71LIzrO56lfMDOqCkwuOEHQQWLpBFGJDyetZr1FFBJ1J/xMfiXo6dPDxYvunVuyZEnmzJnDDz/8wOLFiwkLC+OTTz7h2rVr1hrpI+4nJhhjFfe4jic8fF5yE/R//9XRbkE/hjNEJT4CUdDBOb97vxP0CwmUmBUrVoyZM2fy888/88svv1CwYEH+7//+j6tXr/rGSB+RBbk1rCR6Eoun4pzcBP3aNb0vnSDo2XFO57/YiE5/dYL4eZNzOGNgt98IenAwpE0bt6AXKVKEadOmsWzZMjZs2EBYWBjvvfceV65c8a2hPiAlynu1WjSNoLvPlSuQ0uZI3z+obXEWe82Il2iPqc33Pq9zGWc0R0tQ0MeOHcvWrVvjbERVtWpVdu/ezaJFi1i0aBF9+vTxupGg1TncLehhYWF8+eWXrFq1im3btlGwYEHGjBnDpUuXLLHDCWRyHX0h6NcBT3+TmYGz3jfH0Vy7Zr+gR3800tpqRfxE75NT2WqF97mCnwj6rFmzaN8+/qmF69evp0GDBjRo0ID33nvPa8bdSqtWjwEwfvwEDhw4QO/evZk8eTK//vore/fuJSwsjFGjRnHRXSe7HxO9crZaNDOiyj5PSUHMBze5YLegtwVGuv691vV/J3ITvTecIH7exG8Efd26dZw5Y+8Gum3btowaNQqA4OAQ8ufPz7vvvkvGjBkpVKgQw4cP5/z5xEiPfxJd3mt1nk4QySf1MKlcuwYpUthz7bbAROBe1//zuP7vVFF3ivh5E6f8TF7xoZcvX57FixczdepUChcu7I2XvI0RI0aQNu3tG8mgoCDKly/P2bPJbXNvcCKFC0P16vZcewRw55zqdK6vO5FMQF+7jfAynVCxn90kuZfL9u3bqVSpEpcuXaJu3bpMnjyZGjViHzTVvn37/9w3mTJlivWc2MibNy/Xrv0d69cNhuROXJ8C8+lIfiR5hX7hwoX/ApDLli0jNDSULFlij7NPmzaNxo0b07hxY06ePOn2Nf6KYzzRpUuXKFKkiOdGGwxeJjwc1qyx59px1SP4cKiXR5wDxtlthJf5EvjDbiPwgqDfe++9//27TJkyBAcH8290pYWXGDhw4H83jZs31Tzr4sWLfPfdd6xatYovv/ySsDCnFz17j+jSKKt9dpH4WTtOG0mZUn50OxiI+rjcykXX151IauRzDiTS4IyfKcHP64cffkjVqlXJmjUrGzduZMyYMaRwRX+mTp1KkyZN6NixI5GRkVy5coUePXp43cgZM2aQMuU1OneGGzfOc/DgQQYOHMiMGTPIkCEDPXv25Ndff+X7779n6NChHDgQ2I1bo0PU7jutEsdZlOniKU4JEPkSOwV9hus4HvXROQS8csvXnUQwqqNwgvh5E6fcpBIU9BdeeCHe73/xxRd88cUX3rInTqZOnUPnzvDmm/2YMqXff18/f/48I0aM4MMPP6R3796sX7+eefPmMWzYMP780+7uxNYQHQbOHO9Z3rlOCJ7PgDyD9bY5DTsFHSTeOZAroyTOrQOIvtE7Qfy8iVME3W8qRaOiVFSUPo762rNnzzJkyBAKFSrE0aNH+f333/n444/JkyePbw31ATeQwFotmtE7AU+vcwZnVytaQdq0qha1k+xIVJwq5qAdBID7ETT/wAh6IrhwQTNF4+PMmTO8+eabFC5cmH///ZctW7bwwQcfkCt6fl2AcJqYD4dVJFbQzybiOf5M6tSQJo3nnUC9TU5iml85legeLk6301Myo2Cv3fiVoF+8GPcK/U5Onz7NwIEDKVq0KJcvX2bbtm28++67ZM8eGJ2Y/ySmva1VRHdZ9LSRUnJzuUQ35fJyLoDH5MD5Qhmogp4Dz+buWoVfCfrp0553tDtx4gQDBgygePHiREVFsXPnTsaMGXNbdo4/cpCYUW9WXgM8v3EkN5dL9HvS7hV6bpwvlDldR6fb6QmhqErXCT+TXwn6sWMxc0U95Z9//qF///6ULFmSFClSsHv3bkaOHMk999yT8JMdyEFU4h1i4TUOI399fg+f9w8S9EAaMxYf0YJ+yup+xvEQgqYV7bPPBLfIjdJhPe2x72Tucx2NoHvIsWOQJYt8lonl6NGj9O7dm9KlS5MhQwb27t3LsGHD4iyGcioH0MrASrdLJEqBy+/h8w6iN9b9XrbHqUSvCexcoedHHQz3JHCe3RRG713/HPwYO07adfidoINmiyaVw4cP88ILL1CuXDnuvfde9u3bx1tvveVRSwI72ek6lrT4OgfwvEfFQdcxv1ctcS558ii+Y2cPu+jh0LvtM8EtHsT5NnqKk+ICfinoiXW7xMZff/3Fs88+S8WKFcmTJw/h4eG8/vrrZEgoncZmtqMVdFmLr7MXKO7hcw66jvm9aolzyZsX4uhO4TOKuY57bbUifoKBIjh/F+Ep+V3HQ3Ya4cKvBP2Ia2S4FanlBw8e5JlnnqFq1aqEhYURERHBq6++Snp302p8zGX04bVa0DejjJX8Hjwn2vfuhO5zvsAJgl4J7aZsTrSJl3woXzvQBP1BlLJoslw85MwZBZ6sbNuyf/9+OnfuTM2aNSlRogQRERG8/PLLd7XvdQKbgXIWX2OL6+jJjSPa954cBD1NGrjvPvsFvSoabOFkSrmOO+M9y/8oinPcSH4l6AAREVCokPXX2bdvHx06dOChhx6ifPny7N+/n759+5ImTRrrL+4mv6FMl/wWXiPatVPGw+eFE+PXDWSiOzjbKej3o+wRpwt6VdRYbktCJ/oZD+KcXYdfCnq+fL6bDrN7927atGlD/fr1qV69OhEREfTs2ZNUqeyfirjMdXzIwmtcQauP8h4+bwvyvds0xMdnRM9z+cPG3qlVXUd/EPRNBNZ4wgzoZmpW6IkkPBxCQyF/ft9ed8eOHbRo0YImTZpQr149IiIi6NGjByltHCS5C+V8WynoAKuBGniW874ZpdEVtcQi51C8uCpEo+M7dvAwarew1T4TEiQUqIDzbzqeEr0LNSv0RBIerqNdcy22bNnC448/zuOPP06jRo0IDw+ne/fu/7UU9jUrsF7Ql6NWvZ746ze7jp66avyNYsVg1y57bWgMLMLZud2lgbQEnqBHx5Z22GpFDH4n6EeOKDBaurS9dvz+++80bdqUli1b8sQTT7B3716efvppQkN9OxJiEfKjWymcK1xHT24c4WjIgtVZOHaSMSPcfz/stDHKVwpt+X+0zwS3eNh1/MVWK7xPVVT1ut9uQ1z4naADbNkCZRyy9Fu/fj2NGjWiQ4cOtG3blj179tCxY0dCQqwsyo9hAQpaNrfwGsfRCqSuB8+JArYR2IJezJX8becKvbHruNA+E9yiMfKfO6H4xps4LbvILwV982bIlk2rI6fw66+/Ur9+fbp06UKXLl3YtWsX7dq1IzjY2l/xSWAl1go6wBKgFto2u8t65DcN1MBo6dIaarHXxmqeluj37GShzAxUw/m7CE/JigqljKAnkc0uB21ZBy7/fvnlFx566CGee+45nn/+eXbs2EGrVq0ICgqy7JpzUPDRygDkPDQ3sZEHz1kBpENFL4FIlSqwdat9gy2KobjGNHsu7zYNUFD0B7sN8TJVXEcj6EnkyBE4fhzKWV1VkwSWL19OzZo16dWrF3379mXbtm00b97cEmH/FrldOnr9lWP4BblePNkJrESuF09cNf5C9uzKtFq3zj4b2qNA6Nf2meAWjwGn0E4ikKiKfv8b7DbkFvxS0AHWr4eKFX2Xj55YlixZQtWqVXn55Zd55ZVX2Lx5M82aNfPqNY6h1U9n3BgSm0ii0Cr9UZSO6A7/onx0q7Nw7KCKa3lml6AHIUFfjG60TiUd8DjaRUbZbIu3qQf8Dlyy25Bb8FtBX7VKcxwrVrTbEvdYuHAhlSpV4vXXX2fQoEFs3LiRJk2aeO31J6Kub0299op38y0qpKjvwXOWoZVMEjoeO5LKleHwYfj7b3uu3wD1RvnSnsu7TTMk6l/ZbYiXuQeojPPiAn4r6Js3w/nzUKuW3ZZ4xvfff0+5cuUYNmwYw4cPZ926dTRs2DDJr/sT8DfQLcmvFDdLUSFTFw+esxyJeTVLLLKHtGnl7rPT3dIbNYOaY58JbtEejUtcbbchXqYhEk+nxQX8VtBv3IBff4Vq1VQ56m/MmzePsmXLMnr0aMaOHcuaNWt4+OGHE35iHESiVXojrOuhcgOYgnYB7nYwXoXaB1i5c/A1NWtCqlSwbFnC51pBYfR3/hi4bo8JbnEf2klMB27abIu3aYwWN5vsNuQO/FbQQW6XDBmcme3iDjdv3mTOnDmUKlWK8ePH88EHH7Bq1Srq1KmTqNf7EPnzBnjTyDv4DKUhdnbz/Auo+OlJqwyygYcfVmDeroKinqgfyqf2XN5tnkYxHae7hTwlGHgE7YqddqPya0HfsAHOnQMveCxsJSoqipkzZ1K8eHE+/fRTJkyYwLJly6hRo4ZHr3MKrdI7oOpRKwhH6YjPoMCcO8wB8gJ+Eu6Il3vukbtlyRJ7rp8D6IpWvU4OhoYCL6CgrVP6nHiLysiH7jT/Ofi5oF+/rg9WzZoqw/Z3oqKimDZtGkWLFmXKlClMmTKFRYsWUbVq1YSf7GKc69jfGhMBmAAUxP2c9AXINWB18ZMvqFsXgoPtE/RX0Q5pmD2Xd5sn0KJivN2GWEAb5Eb82W5DYsGvBR3g++8hZUpo0MBuS7xHZGQkU6ZMoUiRInz99ddMnz6dH3/8kYpupPT8BUwFnkOrYiv4xnWdV9w8/wzKdgkEQW/UCHbvhkM2zBvLDTwLfAHY2K3XLXqh/iZOXMUmhVAk6AvQlCKn4feCfuCAeml4MQPQMdy4cYPJkydTuHBh5s2bx+zZs/nuu+8ol0BF1ZvIt2fVKu4GMAa1AnA3e2UOEIZ/d18sWxYKFIAFC+y5/muohbHTV+eVUbvl/yPwcs/ro2CvU9Mw/V7QAX74QVV7JUvabYk1XL9+nQkTJlCoUCF++uknFixYwNy5cykdR8vJw8C7wFNYJ6CTUB+ZV908fw4K5D1tkT2+4MknNQZx6VLfX7sU0B0FQv/0/eU9YjDqQDjRbkMsoD2KVTm1GVpACPqyZQqOtmpltyXWcu3aNT766CPCwsJYvnw5P/30E9988w3Fixe/69xRSHDH3fUd73AJ+Uebol7XCXEaiXoH/LPIKGdOpch+951iN77mA1R5+6bvL+0R1VGO9ijUPjmQSI9iAzNxbrpoQAj6lSswdy7UqKHxdIHOlStXGD9+PAULFmTt2rUsWbKEGTNm8OCDMRno54DXUdm9VT1exqPVyig3z58IZAFaWGSPlTz+OERF2eNuaYPcWwORqDuZwagVxUd2G2IBLVC3USc3QwsIQQf49lsJe5s2dlviOy5fvsy4ceMoWLAgmzZtYsWKFUydOpVCrinaE1CF3jggmwXXP4v8uQ1xrx3ACpT2aGU1qxVkyKAYzcqVcPKkb6+dGRiLeoZM8u2lPeYh1N9kJHDZZlusoCeaC/Cr3YbEQ8AI+rlz8qU//DDcd5/d1viWS5cu8c477xAWFsauXbtYs2YNX3zxBQUeeIDuqP/KuxZd+yOUcTEa995Mn6HVpk0TBBNFq1aQJg18ZUMkbDwKwnXH2QHGEOB94ADOL3hKDDVQq2Knp2EGjKADfPONjq1b22uHXVy4cIG3336bsLAw9u/fz7p16+j/2Wd8nCkTHZD/z9tcQ66AMrjn2vnC9ZwXLLDFCjJmhObNYcUKOHjQt9d+HAW2h+G8EvM76QGUBPqhHO1AoxeKAzk1uyWagBL0f/6BhQuhaVPIlctua+zj3LlzDB06lEKFCnH48GE67N7N8Xz5+DwoCCuGPM1C29B3UAVdfBxHH4quWOMG8jZt26rOYcoU3173XrTS3QQM9+2lPeZeYAhq8TDPZlus4H60GJqI811JASXoAF98ocZdXbvabYn9nDlzhkGDBlG4RAnmNG9OxrRp+a1gQe738t3uJnIJZEL+3oR4B2W69PSqFd4nSxYFQ5cuhb/+8t11g1HgLSPa9dzw3aUTxUjUIreX3YZYRA/U5sIfAr0BJ+inTsn1UrcuPGhV20E/4/Tp0/QYN44eQUHk2r+fPW3b8v7775Mjh7s9ExNmJ8p26YQCY/GxB63kXkSpYE6la1d18vzSx92lBqMgcw/0e3UyDVFtwVjAxtGqlpEFeB6Yi6qjnU7ACTrA11/D6dPw3HN2W+IsPrlwgclA2rFjKbBxIzt37mTs2LHc56Uo8jBgH3IVpEvg3FFoyK5TM16KFFGZ/5w5GmThKx5F6aYTgc99d9lEkRll3uwA3rLXFMvoh3aeQ+w2xE0CUtAvX5bPs3RpqF3bbmucxfPI311v6lTaFC5MSEgIu3btYtSoUWTLljSv9lUk0AVQxkN8rEf9Xfrj/kg7XxEUBL16qSrUl6vz4qgPz+843x0F+htnR7uyqzbbYgX3oEEiM4HtNtviLgEp6KCmXfv2Qc+ekN7J+3ofcw0FeE4Ck06dYmSfPpQuXZp06dKxZ88ehg8fTtasWRP9+quAESjomVCy0VDUcOrFRF/NGho0gGLFYMIEuOSjgZG5UH/tS+jv43SBfBL59/0hAyexvIR2moPtNsQDAlbQo6JgzBjInBm6d7fbGmdxHE1iz4IyEy4dPsyLL75I2bJlyZo1K3v37mXw4MFkzpw5Ua8/GFiLXC/54zlvBerG95rLFieQIYPeLzt3wqJFvrlmRvR7yIQm4djQyNEjwoDJwDqcn4GTWO5Fu6QZwG6bbfGEgBV0gPBwmD1baYyB2rgrsWxFA3wLo5VheuDQoUM8//zzVKxYkVy5chEeHs4bb7xBRg+bzd8A2rn+PQNIGc+5A5CgvebpD2ARvXsr9/zdd+GmD8bRpEEBt2KovfBW6y+ZJNKiYeHXgZY4PwMnsbyOMrH8xXceTUALOiiN8dgx6N9f+cSGGJYBrYDywHximmYdPHiQbt26UblyZR544AEiIiIYOHAg6T3wXR1E2Q9VUAuCuNiJio1eJP7VvC+oVQvq1ZPffP9+66+XBvgOqI1G+tk0M8MjPkG+/nY4fyeRWIqjDKMJKMjvTwS8oF+5AmPHqmnXs8/abY3zWIDEpA7a9t8q2X/88QddunShevXqFC1alP379zNgwADSpUsoh0V8CwxCQbP4Jii9iYZc27l9z5IF+vaFPXtg+nTrrxct5nXQ78cHl0wyvVHl6ptotFyg8gHqU/S63YYkgoAXdICNG5Wb/uSTaoFquJ1pqK1tTWApSie8lfDwcJ566ilq165N2bJliYiIoF+/fqRJkybB1x6KKklHE/fIuiMoj7kdEjg76NsX0qaFkSMhMtLaa2VCN886SMyd3L0vmuaoydscFPQOVFqiJmOvo1J/fyNZCDrAxInKehkwAJKYnReQzEDZFaWAlSjr4k727NlD27Ztefjhh6lSpQoRERH06tWL1Knj7nB+E+0ANqP0rwpxnPc2Gln2Kb5PY3ziCc2lnTQJ/rR4esT9qANmNTQswR/EvDpq17AW3fidNuneW6RFC4vNxO8mdDLJRtCvX4dhw+RHHzhQg34Nt/M98AiaRboBiGuC6c6dO2nVqhWNGjWiTp06hIeH88ILL5AyjiDFZTQI4wSa9HL3OA6d8xwK0voyQFqsGPToAWvWxDR3s4rSSBTzoArLmdZezisUQW65P1FmVCA23ormdXTD7YmzO1vGR7KStUOHYPx4zYY0vV5iZyVaPV5BOeXt4jl327ZtPPnkkzRr1oyGDRsSERHBs88+S4oUKe469yjwMMqvXgQ8EMvrLQG+RGPtYhN9b5M5M7z1lpq6vf22tVktLYFfUKygBkrZdDqFUOD8OrrR+6MLwl0qoYyrycAam21JCslK0EHdGBcsgHbtoL47UxmSITvRG3wtcgm8A9wt0TFs2rSJxx57jObNm9OsWTP27dtH165dCQ0Nve28A6hHSUok3rF1fuyPAlITUEMkqwgOhjfeUIrioEFw0aJ5aSlQL/pZwDaU9eP0/iwgMV+BptzXQ1lLgUpqYAqaxdvXZluSSrITdNAqffNmeOklKFrUbmucySmgAZrc/hJqFxCWwHM2bNhA48aNadeuHa1bt2bv3r106tSJkJCQ/87ZhVZ7WZAvufAdr3ES9c+oRvyZMUnlhRegXDnlm1uVong/sBzog0S9ZNk8QAAAGQpJREFUDtqpOJ1bxbwu/nEDSgrDgAdRmu05m21JKslS0CMjtdU+cUJ+dRMkjZ0byJ/4BHKRbEZZGQmxdu1aGjRoQKdOnejUqRO7d++mffv2BLsCF78jcUuF3BB3DpmeCsxG2RRxBVGTQuvWyniaORN+/tmCCwBdUP+PUijXvx/+UYRTBrndkouY10Sr8g9Rhpe/kywFHTSy7vXXIVUqGDVKJd+G2JmHhGkjKgL6AXBnFvfq1aupW7cu3bt359lnn2Xnzp20adOG4OBgtqIP0xW0Gqx+x3O7odXsDDRCz1vUrasunMuXw6cWzErLiYLLk9ENsBRgcazVazRAcZPr6IYb6GKeEb2fDwCv2GuK10i2gg4aKfbmm5Anj/KP48m+S/YcRr7UPmgm6E7kEgmJ70kuVqxYQa1atXjxxRfp2bMn27Zto0WLFkQEBVEdTYlfyu0j7M6ggGwBtHryBqVLwyuvwNat3g+ChqLCm90oj7kXWuEe9N4lLOVpdKPej/z8/tS/JLFMQW6xpwCLQig+J1kLOsCmTTBkiPpfDx8OsSRoGFxEoZapxZAAj0Gd9h5x8/lLly6levXq9O/fn5dffpktW7ZQ4fHHqYZcL1NQADb6TbkG9dJ4CuU/J4WiReVeO3JEO7Pr15P4grfwMOrB8h4KJJdG1Yb+kK8dgmoAJqGMllr4h58/qQxAM1tfQn+zQCHZCzooB3nUKAXJBg2CEHeWncmYQ6ix15OoGOMnJPDl3Xz+zz//TOXKlRk4cCCvv/46S37/nf9r3JgP0AfsO1RNCWoHsAoVHJVNpL1Fi8Lo0XD2LLz8Mly4kMgXuoPyyL2yGMUDmqJq2AjvvLzl3IdSSF9Fv98mwHlbLfINdVB8ZiYw3l5TvI4RdBeLF8P770P16jB4sFmpu0N0l8AXgRLIxz4Xbdnd4YcffqBChQoMHjyYwSNGUGX9esYXL059YAvKdIlEQcWTqIFYdg9tvFXM+/SBkyc9fIFYKIeKbTain/UVlDf/fdJf2mdUQ7urqqiS9zn8I2ibVHIBX6OmW8/YbIsVGEG/hXnzYkR95Ehwo1VJsuc68nGHoUZcNdEWdiVa8bmTS75gwQLKli3LyJEjqfv11+z97DNSpknDKuANVGHaDPWYmYv7rQGKFfOemAejSslFKEunOqpoLYD61Dh9IEU0IcjuFag6typydSUH0qCGcenQ7tJLGzVHYQT9DubNgxEjFEAbM8Zkv7jLeeTvzoeCg/nQijUClVTnSeD5N2/e5Ntvv6VUqVIMXbSI8ytXcqpBA4agXO5zKGhaFbkHEqJaNXXZTKqYZ0duoAi0Q3gQ+B9q9TsC/3JRFEU322GoyVYFnN9/3VsEo4ypiiges8decyzDCHosLF4sX3pYGLz3Htx7r90W+Q8XkV8yDGgD/IE6Lh5EHQY7Ev90ops3bzJr1iyKValC32zZODp6NNXSpmVXcDCF0DDiTsjvGxfNminQffCgRhB6KuYZkRtiEcrueQdNfG+OVuQj8S8hD0E3pU3I/pZAW1SRm1wYj3Z5PdGNOVBJUNDHjh3L1q1bWbo07rT7IUOGsHr1ahYvXkyJEiW8aqBdrFkDr74K2bPDJ5+YilJPuYGCTvVRUdII5GeegkbgLUG+9zsrRaOJiopi+vTp3P+///FS48Zcr1+fkUCHNGn4GWVmdLvjOUFB0K2bVuTr1qkl7r//umfvgyglcyHwD/C5y+63UZygDtquW9xZ1+vURkL+DgpeF0dFW8mJl4EXkGvsI5ttsZoEBX3WrFm0b98+zu/XrVuXAgUKUKNGDV555RXefvttrxpoJ5s3q0T88mWt1Bs0sNsi/+QAGoqQD215R6MCnA+AvShN7mvgeZQ5cmvoIjIykvdnzybL0qWMr1uX/Jkz0wD4J0UKPgHGV61KcHAwly+f5rffGtGuHcyfrz4tV+JoDZgS9arpiapSD6K863dRp8mPgcpol/EG/pmTfT/6na5AGUPNkd/4uI02+Yq26D0XiX7e0cjdEt+uLlAITeiEdevWkSdP3B7Qhg0bMnu27vmbNm0iU6ZM3HfffRw/HhhvnT//VHvVQYPgf/+DAgXUWz3KX/tr2sxG1+M1JJh10CqyNtDadU4k8llvQ4J/CDh04wYTly1jfEgIH5csycN79kBQEC+uW8elOWPYcf8kLl8OJ0+e4Zw6soUcUd+QDQ37zYf6kxR2HYsQM+f0MPAbSo/8GblW/Jl7UMFXbxSQHoRW55ftNMqHtAUmosAn6O8fiXYn/lAXkFQSFPSEyJEjB0eOHPnv/0ePHiVHjhwBI+igNgEDBmi13qYNPPigAqcnTthtmX8T4Xp85vp/fpRrXsr1KIv6yNz2Jo2MhO3buQ6EhoZyvNYN9qYbQMgRKP1OGrJsHc6Xly7dda1rqAoyHFVErkdT64/cdaZ/khUJeU8kZl+j4K2/36A8ZQQxYh5NCArYT/W9OT4nyYIeFHR3YtrNOGqq27dv/5/7JlOmTLGe41QiI9Wlcc8eTYb/7DN45x1YvdpuywKHg67H3Fu+FgLkQC6E+1HWSXogUyp48sOiHCm4nYw7gij+1k1SnbkGpUsTVacOPcaN4wRKefwbCZu/+b/dIR8aaPwc+r3MQuLlj24ib5DXw68HGknOcjl69Ci5csUMLMuZMyf//PNPrOdOmzaNxo0b07hxY056o8LDBhYtUuDtyBEYOlSBt1S+npmWjIgkxi3yDWrn+11xyD0RjhTcTp48/SjT8hCp7n1QzVm2bCFo/HhqAf+iFr3R/tRAoh5qmvYH6uT4E1ASuRySq5iDCtBiI7nsVJIs6IsWLaJFixYAlCtXjnPnzgWUuyU2jhxROtyMGfDYY1qtl01sXbrBbVKkgGefVfFXihTw3Xd1yZlzCMHZc8PatVC1KjeB7dmy0Rj1JgkHBhL7jFR/owD6WXajLKFqKAunAEoR3WWfaY7geSAbd9+8L6LfW3IgQZfLhx9+SNWqVcmaNSsbN25kzJgx/40Ymzp1KkuXLqVu3bqsWbOGy5cv069fP8uNdgI3bsCECbB+PfTvD+PGqbf2Rx/J527wLiVLQr9+kD8/fPcdfPwxXL68jKNHuzFixAjy5s3LoYkTOVO3LqWPHWMAWtk/gwKeQ1Gzr7mux0G7fhAPyYOaSLVDRVWgRmZvo7RQf6lQtZIg5Dt/FfUB+hYFg/OilflAlOWSHAjKlSuXLcHf+fPnU7FiXGOI/YuUKaFDB2jbVqPMPv5YrhkrZ1QmF7JlU//yevU0+3PsWNiwIe7zU6CxeS1RZ8j+KNjaAQVYo4dpbEGVrCvRNKa7w6j2kAq1T3jE9YierboFmI6CnYfsMc2RpEQ1A+1QumlPAs+9didbtmyhcePGsX7PCLoXyZ9fq/USJRQ8/fRT2LLFbqv8kxQpoFUraN9e3S9nzNDjqhtL0mCUqtcPVXu2Rv3VQcVCjyNxr4K2qNdRKuVK13EbyojxRWbqAygnvrLrWA7NuLzqsudnVGEbqKXqSSET2m09hFbno+w1x2cYQfchQUEaPv3006oy/e03uWYOHLDbMv8gJAQaNtSOJ2dOWLVKO55jxzx/rS7AJ8i98hjKab+V9KjJVnQefEVihmFfQkM8dgJ/4sqFdz3+QY2driVw/RTwXy58NuTHvzUfvhBqMxB9vd9ROuUyVBDklF2DEymJ+tHkQ3/n6faa41PiE/Qkpy0abufmTblbli/X3Mr27RU0XbIEpk9XoZLhboKDVYnboQPkzq0dzpgxGkCSWD5HbVK/RVkybVFpfzQX0Ao4eqxoatTAKjoPviRqXZCT2LMHrrle4wIqWgm95ZGS2EfnRaIbzD7k09+J8uF3kjza13qDjsi98i9anf9qrzmOwgi6RVy/riHEP/4I7dqpYVSDBvDrr3Id7Nhht4XOIFUq+cfbtZOQ792ritzffvPO669BXQUXoNS+0aj7Y2wDi66gOaCb7/h6KFpdR+fC34tW9+mRaKdHgbnrSJRvuP59GuXBn3QdjyEx9+KwpGRFKhQXeRbtYtqSPFoZeIIRdIs5f16+9Bkz4PHH4Ykn4IMPJOjffCOBv5EMl2Y5cugm17gxZMwI+/bBwIHKPvQ2h1CK3zg0euwhFERzd7LQDZQtkVxymZ1IQRQQroAyfN4g8IOficEIuo84dw6+/FKr9kaNFPAbPBjOnJGL5scfA98dExoKFSrAo49C1apyT/3yC3z7/+3de2yV9R3H8XdPW0GQIrfSHoqmOJE/UKEMAlmJpOohayckW23SmOAi00RJlkZYlg02xY15mU2AjZjAgGWsRoXYAFr0HKiuFjYRoTchUBDHgKZcQluhXEv3x7cXSksPl/ac09/5vJIn7TnP0/aXX558ztPf83t+3w+hsrJ3//Z5bJ6yH1tqYA+2At8/evfPyh2KwZ6EfRMb4pqFTU2UrinQQ+ziRSuisWkTTJoEWVl21Z6TA998Y2uxl5bC6dPhbmnPiImxOeSPPw6PPQaDB9uStgUF1gehfmC4EPgK+Ce2lG8m8Ev0r3skuh9YA2RgM32ex521d3qLAj1Mrl61+dRffWUh5/PZ8ENenm1799rVa2kpHD0a7tbemn79YMIEmDIF0tMhMdGWIN6+HbZtg127wjvMdBQLiV9jD6D4sKGY1UTHinx9wS+wIbJmYC4W7BKcpi1GmPvug+nTLQjHjbP3jh2D8vL27QZL5YRNbKwtKzxxooX4I4/Yw1YXLsDXX0Nxsd0ruNH65OE0FitpNwN7AvMFNOc7nCZg1YWmY8sbzEX3Lq6naYt9yJEjNhxRUGCl79LTbWgmPd2u4MHmZFdVwaFDth0+HLqhi9hYu6E5dqxVcRo3Dh58EPr3t/2HD9uQ0s6dUFFhs30i2QHsJunPgXysxuZb2Jiti0WEI9UwrNbpC9isoLnYtFP9x3RrFOgR7ORJKCy0LSYGxoyx4tWPPmpXwU880X5sfb3V0KyttZ9r/XrypM20OX8eGhttGeAb8Xhs+Kd1u/deGDIEvF5ISbEtOdluboLdD6iutrVV9u2zD5m+ukb837F10vOxaY3PY8vQrkTzw3tTLLb07x+wKaDLgMVEV73TnqRA7yOam9uvyD/80N4bNMhCPjUVHngA7r/fgn7ECLuS7sqlSxbuTU12TOsWF2eP23fl/HlbYfLQIXty8+hR+/7bb7v/gOhrTmIPrSzHrtJXYHVGf0v01eHsbbHYPPLfYcNeW7Gb09G89G9PUKD3Yd9/3z6ufi2PB4YOtWAfMQLuuQfuvtuGRQYMsC0mxsL42u3SJZteWV9v0ynr621Gys0WWnbFLuym6Y+xYF+PPc25BFvQS8MAt8+DLfX7e6wUYBkwG3vwS+6cAt1BV6/amPqpUzYUIrdnC7YswBxsNswm7BH9P2Nrh0T47YGIEg/kYMNZ47AF0H6KFenQB2TPueMCFyIuu4qNrz+IPV16peV1a6WgrtZrkXZJ2Ifhf7G5/5eBn2GzWQpRmPc0BbrITbiCFUmYgK1TfgC7gVqDzZH+UfiaFpGmYevSHwFeBXZjQ1iPYoulKch7hwJd5BZ9itX0/CEWWtlY7dJ9wK+AxPA1LazGAAuxYakd2FO4fwF+APwEW+lSQd67FOgit+lrbOW/ZGxN7lPYTdRj2KyNecCosLUuNEZiVYL+jRUF+SM2W+gFrHze/Jb3JTQU6CJ36Bw2rj4du+H3Frbc7l+xZQZ2Ar+hvZxcXxaLrVy5GJv5cxyb5tkP++9kNPbU7SqsXyS0NMtFpAftx4YdFmLT8lrL3f2pZTsBlGDl5f4FVBHZwxCx2AfRVOAJrODHvdjStf/Bxsc3oPnjkUKBLtJL9mNLCLyJDb34aC93l91yzGksGCuu2Q4QnqdTY7GC2mlYfdMpwCRgYMv+o1h4f4oNKdV1/hUSZgp0kRA4hq1Nsrbl9X10rGXqo72e6UVgLxbs/+tiO8ntFbAeSHt90xHY8rTX1jgdc00bWqs3/Q0bWtmJxsL7AgW6SBgcAda1bGBBOg6rY9pa0zQNK+hwdxc/30h7PdPvW75eoWNd09ZtEBbgN/o91UAlNp3wQMv3FejBqb5IgS4SAS5jQVpJ5wr2w7EZI601TYfRsZ7poJbNgwX0leu2s3Ssbdr69Sh2UzOSx/Dl1ijQRSLcqZatLNwNkYinaYsiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOOKmAn3GjBmUlJRQWlrKvHnzOu3PycmhoqICv9+P3+8nNze3xxsqIiLdiwt2gMfjYcmSJeTm5lJTU0NRURF+v5/q6uoOx23atIlFixb1WkNFRKR7Qa/QJ06cyHfffceRI0e4fPkyGzduZObMmaFom4iI3IKggZ6UlMTx48fbXtfU1JCUlNTpuMzMTAKBACtXrsTr9fZsK0VEJKiggR4TE9Ppvebm5g6vA4EAU6dO5cknn+SLL75g6dKlXf6uZ555hqKiIoqKihg+fPhtNllERLoSNNBramo6XHEnJydTW1vb4ZgzZ85w6dIlAAoKCnj44Ye7/F0FBQVkZmaSmZnJqVOn7qTdIiJynaCBXlZWRmpqKqNHjyY+Pp7Zs2fj9/s7HJOYmNj2vc/n4+DBgz3fUhER6VbQWS5NTU0sWrSId999F4/Hw/vvv8+BAwdYsGAB5eXlBAIBnnvuOXw+H01NTdTV1ZGXlxeKtouIyDVivF5vc/DDet7GjRuZPHlyOP60iEifVVZWRmZmZpf79KSoiIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgjFOgiIo5QoIuIOEKBLiLiCAW6iIgj4sL1h1NTUykrK7vlnxs2bBinT5/uhRb1PeqLduoLo35o52pfpKSk3HBfjNfrbQ5hW+5YUVERmZmZ4W5GRFBftFNfGPVDu2jsCw25iIg4QoEuIuKI2EGDBr0a7kbcqsrKynA3IWKoL9qpL4z6oV209UWfG0MXEZGuachFRMQRERno+fn5lJeXs23bthse89prr1FaWkogEGD8+PEhbF1oBeuLadOmsW/fPvx+P36/n7y8vBC3MDS8Xi/r16/n888/p7i4mLlz53Z5XDScFzfTF9FyXvTr14+PPvqIQCBAcXEx8+fP73TMXXfdxTvvvENpaSmbN2/udtpfXxe2eejd+eCDD1i7di3Lli3rcn9GRgapqamkp6eTlpbG66+/zlNPPRXiVoZGsL4A2LlzJ88++2wIWxV6V65cYfHixVRVVTFw4EA++eQTSkpKqK6ubjsmWs6Lm+kLiI7z4uLFi+Tk5NDY2EhcXByFhYV89tln7N69u+2Y3Nxc6uvrSU9PZ9asWSxcuJAXX3wxjK3uPRF5hf7ll19SV1d3w/0zZ85kw4YNAOzevZvBgweTmJgYquaFVLC+iBYnTpygqqoKgHPnzlFdXU1SUlKHY6LlvLiZvogmjY2NAMTFxREfH09zc8fbgj6fj/Xr1wPw8ccfk56eHvI2hkpEBnowSUlJHD9+vO11TU1NVJ/QkyZNIhAIsG7dOsaOHRvu5vS6lJQUxo8fz549ezq8H43nxY36AqLnvPB4PPj9fioqKigpKen2vGhqaqKhoYEhQ4aEo6m9LiKHXIKJiYnp9N71n8rRorKykilTptDY2EhGRgZr1qxx+gpkwIABrFq1ildeeYWzZ8922Bdt50V3fRFN58XVq1fx+XwkJCSwevVqHnroIfbv39+2v6vzwlV98gq9pqYGr9fb9jo5OZna2towtih8zp492/YvZ3FxMXFxce5efcTFsWrVKgoLC9myZUun/dF0XgTri2g6L1o1NDSwY8cOZsyY0eH9a8+L2NhYEhISOHPmTBha2Pv6ZKD7/X6ys7MBSEtLo6GhgRMnToS5VeExYsSItu8nTJiAx+Nx9mTNz8/n4MGDrFy5ssv90XReBOuLaDkvhg4dSkJCAgD9+/dn+vTpHDp0qMMxfr+fp59+GoCsrCy2b98e8naGSkQOuaxYsYJp06YxdOhQdu3axdtvv018fDwA69atY9u2bWRkZLB9+3bOnz/Pyy+/HOYW955gfZGVlcWcOXNoamriwoULvPTSS2Fuce+YPHky2dnZ7N27F7/fD8Abb7zBqFGjgOg6L26mL6LlvBg5ciRLly7F4/Hg8XjYvHkzW7duZcGCBZSXlxMIBHjvvfdYvnw5paWl1NXVOdsXoCdFRUSc0SeHXEREpDMFuoiIIxToIiKOUKCLiDhCgS4i4ggFuoiIIxToIiKOUKCLiDji/5MTe5ut/C4AAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<Figure size 432x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "plt.figure(1, figsize=(6,6), facecolor='0.1')\n", | |
| "A = np.array([[1, 1.5], [2, 2], [2, 1]])\n", | |
| "B = np.array([[2.5, 1.5], [2.5, 2], [3, 1]])\n", | |
| "plt.gca().scatter(A[:, 0], A[:, 1], color='w')\n", | |
| "plt.gca().add_patch(plt.Polygon(A, fill=False))\n", | |
| "plt.gca().scatter(B[:, 0], B[:, 1], color='r')\n", | |
| "circles = [get_circle_coords(*get_circle(A[1], A[2], p)) for p in B]\n", | |
| "main_circle = get_circle_coords(*get_circle(*A))\n", | |
| "[plt.gca().plot(circle[:, 0], circle[:, 1], color='r') for circle in circles]\n", | |
| "plt.gca().plot(main_circle[:, 0], main_circle[:, 1], color='y')\n", | |
| "plt.xlim((0.9, 3.4))\n", | |
| "plt.ylim((0.25, 2.65))\n", | |
| "get_circle(*A)\n", | |
| "pass" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Соответственно, если окружность не существует, ребро соседствует с бесконечной плоскостью. \n", | |
| "\n", | |
| "Для настоящего алгоритма рациональнее перебрать все точки и найти минимальную окружность (с наименьшим расстоянием от середины ребра до точки на окружности), чем проверять всё бесконечное семество окружностей. \n", | |
| "\n", | |
| "Если ребро уже имеет сопряженную точку, то нужно исключить из перебора все остальные точки, которые лежат с той же стороны по отношению к ребру, что и сопряженная." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "# This stuff is definitely overcomplicated\n", | |
| "def point_in_arr(arr, point):\n", | |
| " \"\"\"Если ли точки в массиве\"\"\"\n", | |
| " for i in range(len(arr)):\n", | |
| " if np.array_equal(arr[i], point):\n", | |
| " return i\n", | |
| " return -1\n", | |
| "\n", | |
| "def get_third_point(edge, triangles):\n", | |
| " \"\"\"Получить сопряженную точку для ребра из известных треугольников\"\"\"\n", | |
| " for triangle in triangles:\n", | |
| " i1, i2 = point_in_arr(triangle, edge[0]), point_in_arr(triangle, edge[1])\n", | |
| " if not (i1 == -1 or i2 == -1):\n", | |
| " for i in range(len(triangle)):\n", | |
| " if not (i1 == i or i2 == i):\n", | |
| " return triangle[i]\n", | |
| " return None \n", | |
| "\n", | |
| "def get_mate(edge, points, triangles):\n", | |
| " \"\"\"Получить новую сопряженную точку\"\"\"\n", | |
| " best_point, best_dist = None, None\n", | |
| " points = reshuffle_points(points)\n", | |
| " third = get_third_point(edge, triangles)\n", | |
| " for point in points:\n", | |
| " if point_in_arr(edge, point) > -1:\n", | |
| " continue\n", | |
| " if third is not None and same_side(edge, point, third):\n", | |
| " continue\n", | |
| " center, r = get_circle(*edge, point)\n", | |
| " dist = get_distance(edge, center, r, point)\n", | |
| " if best_point is None or dist < best_dist:\n", | |
| " best_point, best_dist = point, dist\n", | |
| " return best_point\n", | |
| "\n", | |
| "frontier = np.array([hull_edge(points)])\n", | |
| "mate = get_mate(frontier[0], points, [])\n", | |
| "triangles = [np.array([*frontier[0], mate])]\n", | |
| "plot_step(points, frontier, triangles)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "После нахождения точки задача - обновить границу. В границу должны быть добавлены два получившихся ребра и убрано использованное." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "def edge_in_frontier(frontier, edge):\n", | |
| " \"\"\"Есть ли ребро в границе\"\"\"\n", | |
| " if len(frontier) == 0:\n", | |
| " return None\n", | |
| " for frontier_edge in frontier:\n", | |
| " if np.array_equal(frontier_edge, edge):\n", | |
| " return frontier_edge\n", | |
| " flipped = np.flip(frontier_edge, axis=0)\n", | |
| " if np.array_equal(flipped, edge):\n", | |
| " return frontier_edge\n", | |
| " return None\n", | |
| "\n", | |
| "def remove_edge_from_frontier(frontier, edge):\n", | |
| " \"\"\"Удалить ребро из границы\"\"\"\n", | |
| " for i in range(len(frontier)):\n", | |
| " if np.array_equal(frontier[i], edge):\n", | |
| " frontier = np.delete(frontier, (i), axis=0)\n", | |
| " break\n", | |
| " return frontier\n", | |
| "\n", | |
| "def update_frontier(frontier, point, used_edge):\n", | |
| " \"\"\"Обновить границу\"\"\"\n", | |
| " edge1 = np.array([used_edge[0], point])\n", | |
| " edge2 = np.array([used_edge[1], point])\n", | |
| " used_edge = edge_in_frontier(frontier, used_edge)\n", | |
| " fr_edge1 = edge_in_frontier(frontier, edge1)\n", | |
| " fr_edge2 = edge_in_frontier(frontier, edge2)\n", | |
| " if used_edge is not None:\n", | |
| " frontier = remove_edge_from_frontier(frontier, used_edge)\n", | |
| " if fr_edge1 is not None:\n", | |
| " frontier = remove_edge_from_frontier(frontier, fr_edge1)\n", | |
| " else:\n", | |
| " frontier = np.append(frontier, np.array([edge1]), axis=0)\n", | |
| " if fr_edge2 is not None:\n", | |
| " frontier = remove_edge_from_frontier(frontier, fr_edge2)\n", | |
| " else:\n", | |
| " frontier = np.append(frontier, np.array([edge2]), axis=0)\n", | |
| " return frontier\n", | |
| "\n", | |
| "frontier = update_frontier(frontier, mate, frontier[0])\n", | |
| "plot_step(points, frontier, triangles)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Теперь можно реализовать и сам алгоритм триангуляции. Выполним его пошагово" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "def one_step(points, triangles, frontier):\n", | |
| " edge, frontier = frontier[-1], frontier[:-1]\n", | |
| " mate = get_mate(edge, points, triangles)\n", | |
| " if mate is not None:\n", | |
| " frontier = update_frontier(frontier, mate, edge)\n", | |
| " triangle = np.array([*edge, mate])\n", | |
| " triangles.append(triangle)\n", | |
| " return frontier, triangles\n", | |
| " \n", | |
| "def init_delanay(points):\n", | |
| " triangles = []\n", | |
| " frontier = np.array([hull_edge(points)])\n", | |
| " return triangles, frontier\n", | |
| "\n", | |
| " \n", | |
| "triangles, frontier = init_delanay(points) \n", | |
| "\n", | |
| "for cnt in range(10):\n", | |
| " frontier, triangles = one_step(points, triangles, frontier)\n", | |
| " fig, ax = plt.subplots(figsize=(10, 6), facecolor='0.1')\n", | |
| " plot_step_ax(ax, points, frontier, triangles)\n", | |
| " plt.title(f\"Step: {cnt}\")\n", | |
| " if len(frontier) == 0:\n", | |
| " break\n", | |
| " plt.show()\n", | |
| "\n", | |
| "pass" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Для достижения аналогичного результата можно воспользоваться и модулем triangulation в matplotlib. Можно убедится, что все окружности, построенные вокруг треугольников, свободны от точек" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x720 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "from matplotlib import tri\n", | |
| "\n", | |
| "def delanay_mpl(points, circles=True):\n", | |
| " tr = tri.Triangulation(points[0], points[1])\n", | |
| " plt.figure(facecolor='0.1', figsize=(10, 10))\n", | |
| " plt.scatter(*points, color='r')\n", | |
| " plt.gca().triplot(tr, color='y')\n", | |
| " if not circles:\n", | |
| " return\n", | |
| " plt.xlim((0, 10))\n", | |
| " plt.ylim((0, 10))\n", | |
| " for triangle in tr.triangles:\n", | |
| " A = np.array([\n", | |
| " [points[0][triangle[i]], points[1][triangle[i]]]\n", | |
| " for i in range(3)\n", | |
| " ])\n", | |
| " circle = get_circle_coords(*get_circle(*A))\n", | |
| " plt.gca().plot(circle[:, 0], circle[:, 1], color='r')\n", | |
| " \n", | |
| "delanay_mpl(points, circles=True)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Испытаем алгоритм на большем количестве точек" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 720x432 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "def delanay(points, cnt=2**16):\n", | |
| " triangles = []\n", | |
| " frontier = np.array([hull_edge(points)])\n", | |
| " while len(frontier) > 0 and cnt > 0:\n", | |
| " cnt -= 1\n", | |
| " frontier, triangles = one_step(points, triangles, frontier)\n", | |
| " return frontier, triangles\n", | |
| "\n", | |
| "points = np.random.rand(2, 100) * 100\n", | |
| "frontier, triangles = delanay(points)\n", | |
| "plot_step(points, frontier, triangles)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Анимация" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stderr", | |
| "output_type": "stream", | |
| "text": [ | |
| "Step: 397, Frontier length: 0: : 397it [06:52, 1.04s/it] \n", | |
| "100%|██████████| 60/60 [00:35<00:00, 1.70it/s]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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