{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" }, "colab": { "name": "06_matplotlib.ipynb", "provenance": [], "collapsed_sections": [], "toc_visible": true } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "IdzXp29g2btg" }, "source": [ "# Python для анализа данных\n", "\n", "## Библиотека `matplotlib`\n", "\n", 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)\n", "\n", "Есть несколько пакетов для построения графиков. Один из наиболее популярных — `matplotlib`. Если в `jupyter notebook` выполнить специальную магическую команду `%matplotlib inline`, то графики будут строиться в том же окне браузера. Есть другие варианты, в которых графики показываются в отдельных окнах. Это удобно для трёхмерных графиков — тогда их можно вертеть мышкой (в случае inline графиков это невозможно). Графики можно также сохранять в файлы, как в векторных форматах (`eps`, `pdf`, `svg`), так и в растровых (`png`, `jpg`). `matplotlib` позволяет строить двумерные графики практически всех нужных типов, с достаточно гибкой регулировкой их параметров; он также поддерживает основные типы трёхмерных графиков, но для серьёзной трёхмерной визуализации данных лучше пользоваться более мощными специализированными системами.\n", "\n", "Некоторые функции отрисовки\n", "* `plt.scatter(x, y, params)` — нарисовать точки с координатами из $x$ по горизонтальной оси и из $y$ по вертикальной оси;\n", "* `plt.plot(x, y, params)` — нарисовать график по точкам с координатами из $x$ по горизонтальной оси и из $y$ по вертикальной оси. Точки будут соединятся в том порядке, в котором они указаны в этих массивах;\n", "* `plt.fill_between(x, y1, y2, params)` — закрасить пространство между $y_1$ и $y_2$ по координатам из $x$;\n", "* `plt.pcolormesh(x1, x1, y, params)` — закрасить пространство в соответствии с интенсивностью $y$;\n", "* `plt.contour(x1, x1, y, lines)` — нарисовать линии уровня. Затем нужно применить `plt.clabel`.\n", "\n", "\n", "Вспомогательные функции\n", "* `plt.figure(figsize=(x, y))` — создать график размера $(x, y)$;\n", "* `plt.show()` — показать график;\n", "* `plt.subplot(...)` — добавить подграфик;\n", "* `plt.xlim(x_min, x_max)` — установить пределы графика по горизонтальной оси;\n", "* `plt.ylim(y_min, y_max)` — установить пределы графика по вертикальной оси;\n", "* `plt.title(name)` — установить имя графика;\n", "* `plt.xlabel(name)` — установить название горизонтальной оси;\n", "* `plt.ylabel(name)` — установить название вертикальной оси;\n", "* `plt.legend(loc=...)` — сделать легенду в позиции loc;\n", "* `plt.grid()` — добавить сетку на график;\n", "* `plt.savefig(filename)` — сохранить график в файл.\n", "\n", "http://matplotlib.org/gallery.html — тысячи примеров\n", "\n", "У функций в `matplotlib` много параметров.\n", "Для того, чтобы посмотреть все параметры, можно воспользоваться справкой, например,\n", "\n", "`plt.plot?`\n", "\n", "### 1. Простые графики" ] }, { "cell_type": "code", "metadata": { "id": "osFiSoKb2bto" }, "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "%matplotlib inline" ], "execution_count": 1, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "-7p501qf2bto" }, "source": [ "Рисуем график с помощью списка $y$-координат; $x$-координаты образуют последовательность 0, 1, 2, ..." ] }, { "cell_type": "code", "metadata": { "id": "sUUz4vdY2btp", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "140034b4-b164-4304-f4ad-e8b08acc70a2" }, "source": [ "plt.figure()\n", "plt.plot([0, 1, 0.5])\n", "plt.show()" ], "execution_count": 2, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "bC8ViMxC2btp" }, "source": [ "Списки $x$ и $y$ координат точек. Точки соединяются прямыми, т.е. строится ломаная линия." ] }, { "cell_type": "code", "metadata": { "id": "hKo-g8zS2btp", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "777371e4-33b5-45c3-9426-f1c678910dbb" }, "source": [ "plt.figure()\n", "plt.plot([0, 0.25, 1], [0, 1, 0.5])\n", "plt.show()" ], "execution_count": 3, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "OUQft4M92btq" }, "source": [ "Функция `scatter` просто рисует точки, не соединяя из линиями." ] }, { "cell_type": "code", "metadata": { "id": "aqt6kp0x2btq", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "86ea5faf-0cf4-44e8-fc64-901be91b4a21" }, "source": [ "plt.figure()\n", "plt.scatter([0, 0.25, 1], [0, 1, 0.5])\n", "plt.show()" ], "execution_count": 4, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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0Yr7az6vCgGOuqherakNVba6qzfReN9hRVTPjGbcTw/xsH6D37JwkG+idgnlmlEN2bJhj/hnwHoAk76QX9LmRTjla08AH+u92uQZ4sap+fk73OO5Xgge8SnwjvWcmPwI+0d92N70/0NB7wL8OHAf+B3jHuGcewTH/N/C/wPf6v6bHPfNKH/OitY+wyt/lMuTjHHqnmp4CjgI3j3vmERzzVuDb9N4B8z3gL8c98zke71eBnwOn6P2N61bgw8CHFzzG+/r/PY528XPtR/8lqRHn8ykXSdIyGHRJaoRBl6RGGHRJaoRBl6RGGHRJaoRBl6RG/D+PclOSnzz8VQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "cDDIUgcE2btq" }, "source": [ "$x$-координаты не обязаны монотонно возрастать. Тут, например, мы строим замкнутый многоугольник." ] }, { "cell_type": "code", "metadata": { "id": "IfdB6LLv2btq", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "1ad27d1a-7f31-4b1e-fc46-b0c8c085ad82" }, "source": [ "plt.figure()\n", "plt.plot([0, 0.25, 1, 0], [0, 1, 0.5, 0])\n", "plt.show()" ], "execution_count": 5, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "CAm9rq-b2btr" }, "source": [ "Когда точек много, ломаная неотличима от гладкой кривой." ] }, { "cell_type": "code", "metadata": { "id": "aLaqBUD_2btr", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "c0733213-aed2-4e3a-ad42-ae2d7e4c9890" }, "source": [ "x = np.linspace(0, 4 * np.pi, 100)\n", "\n", "plt.figure()\n", "plt.plot(x, np.sin(x))\n", "plt.show()" ], "execution_count": 6, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "uAY64FD42bts" }, "source": [ "Массив $x$ не обязан быть монотонно возрастающим. Можно строить любую параметрическую линию $x=x(t)$, $y=y(t)$." ] }, { "cell_type": "code", "metadata": { "id": "kp_nsaJQ2bts", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "a568030e-c725-4d0d-d719-6e50f00c598c" }, "source": [ "t = np.linspace(0, 2 * np.pi, 100)\n", "\n", "plt.figure(figsize=(4,4))\n", "plt.plot(np.cos(t), np.sin(t))\n", "plt.show()" ], "execution_count": 7, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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X549n874DvPz1Xo/F4c6+OZeISL6ILBWRrmr2/e654w55pfW8s3k/N58yisy4ME+FodQxWzQthZOyY/nTRzuoaWr3SAzuGoB9F8g0xkzBsffx3LGuYLCbcNnthnvfKyAxMkgrpqlhR0T4/eJJtHfauf+DAo/E4Ja+OcaYOmNMV7p8GpjZ32W7rWNQm3C9vbmczfsO8POzxxEWpAXo1PCTHR/ODSdn8cbGcrbtd/9grFv65ohIcre3C3G0xABHe4yznP1zooGznNPcqqXDyp8+LGRKWhQXTffYUZZSA3bLqdlEhQTw4MeFbt+2u/rm/EhEtjn74/wIuM65bD3wexwJaR1wr3OaWz29ejeVB9v47QUTdNBVDWtRIQH84LRsVhXW8FVJnVu3LcOx2U9ubq5Zv369S9bV1NbJ3Ac+YfaoWJ66Jtcl61TKk1o7bJz2l5WkRYey9JYTXXrRpYjkOXuDf4vPXwH7/JelHGyz8qP5OZ4ORSmXCAn040dn5JBX2sAnO6rdtl2fTibN7VaeXl3C6WPjmZymN/Ip73FZ7kgyY0Pd2mrUp5PJS1+V0tDSye1n6F6J8i4BfhZuOTWbbfsP8uUu94yd+Gwyaeu08eRnu5k3Oo4ZWoZReaHF01OJCw/kqdUlbtmezyaTNzaUU3uondvmayc+5Z2CA/y4ek4mKwtr2FndNOjb88lkYozhhbWljE+OZHZWjKfDUWrQXDUnnSB/C0+v3j3o2/LJZLJh7wEKKg5y1Zx0rVWivFpseBCXzkzjjY3lg37Pjk8mkxfXlhIe5M/iaXq1q/J+N8zLosNq59X1+/qeeQB8LpnUN3fwfn4FF89I1XtwlE8YFR/OrMwYXt9QNqiniX0umby2fh8dNjtXaf8b5UMumZlKSU0zm/YdGLRt+FwyWZpXRm5GNGMSIzwdilJuc97kZIIDLCzNKxu0bfhUMimqaqK4+hCLpqV4OhSl3CoiOIBzJibx7ub9tHUOTiV7n0om7+VXYBE4e1KSp0NRyu0unTmSg23WQetT7DPJxBjDe/n7mZ0VS0JEsKfDUcrtTsyOJTEyiPfzKwZl/T6TTHZUNlFS08z5U5L7nlkpL+RnEc4Yn8jq4hrara4/1PGZZPK+8xDnXD3EUT5swfgEmjtsrC1xfQ0ydzXh+omIbHdWp18hIhndPrN1a871zpHLusrygipmZcUQGx40WJtQasg7KTuO4AALKwpcP27iriZcG4FcZ3X6pcCfu33W2q0510IGQXVTGzsqmzhljOsLUSs1nAQH+HFyTjwrCqpdfgGbW5pwGWNWGmNanG/X4qhC7zZd9RzmjY5z52aVGpIWjE+g/EArBRWuvZPYnU24utwAfNjtfbCzH85aEVnc20ID6ZuzpriWEaEBTEzRampKnT42AYA1O13bf8qtA7AichWQCzzYbXKGs0DtlcDDItJjB6zj7ZtjjOHznbWclB2Ln1aeV4qEyGAyYkNZv6fBpet1SxMuABFZANwNLOzWkAtjTLnzuQRYBUx3QUyH7a5tZn9jG3P1EEepw3IzYsgrbXDpuIm7mnBNB57AkUiqu02PFpEg5+s4YC6w3QUxHfb1bscpsBNHxbpytUoNa7mZ0dQ1d7C7ttll63RXE64HgXDgtSNOAY8H1jubc60EHjDGuDSZbClvJCLYnyxtRK7UYbkZjrrH60tdd6jjkoIexpgPgA+OmPbbbq8X9LLcF8BkV8TQm63ljUxKidKKakp1kx0fzojQANbvqeey3JF9L9APXn0FbKfNTkFlk/bEUeoIFoswfeQINu9zXYNzr04mRVVNdFjtTEyJ9HQoSg05Y5MiKak9hNVmd8n6vDqZbCs/CMDkVN0zUepIOQnhdNoMpfUtfc/cD16dTLZXHCQs0I/MWB18VepIOYnhABRXHXLJ+rw6meytbyE9NgyLXqym1Ldkx3clE9dcVu/VyWRffQvpMSGeDkOpISksyJ/UESEUV+ueyVEZY9jX0MLI6FBPh6LUkJWTGM6uGk0mR1VzqJ22TjvpsZpMlOpNclQwVQfbXLIur00m+5wj1LpnolTv4iOCqWvucMnpYa9NJmUNrQCM1DETpXqVEBGEMVB7qGPA6/LaZFLf7PjhxIZpmUalepMQ4fj7qG4a+KGO1yaTxtZOACKCtZ+wUr1JiHS0fak+2N7HnH3z2mRysNVKeJA//n5e+xWVGrD/2zPRZNKrxtZOokICPB2GUkNa1557c7t1wOvy6mQSqclEqaMK8vcDcElTLq9NJgdbO4nU8RKljirAT7AItFuHyKnhfjThChKRV5yffyUimd0++6VzeqGInO2KeAA6bHaCAvxctTqlvJKIEOTvNzSSST+bcN0ANBhjRgMPAX9yLjsBR83YicA5wD+c61NKuUlQgIW2zqFxmNNnEy7n++ecr5cCZ4ijjuIiYIkxpt0YsxvY6VyfUspNDrR08vyXpQNej7uacB2ex1mAuhGI7eeywMCacCmlBt+wGYA93iZcSqmjiwkL5Oo5GQNej7uacB2eR0T8gSigrp/LKqUGUVunjSD/gacCtzThcr6/1vn6UuAT42gl9g5wufNsTxaQA3ztgpjwtwidLhihVsrbtVvtBLvgzOeAL8QwxlhFpKsJlx/wTFcTLmC9MeYd4F/ACyKyE6jHkXBwzvcqji5+VuCHxpiBDysDkSEBLqvToJS36rTZsdmNS/ZM3NWEqw34Ti/L/gH4gyvi6C4qJIAiF9W2VMpbdV1fEhQwNA5zhqSokAAOOu8cVkr1rMV5T05I4MD3K7w2mUSGBNDUbsVud12Xd6W8TdfdwvHhA6/7473JJNgfY6CpbeB3QyrlrbqKIiVEajLpVXRoIAD1LQMvR6eUt+oqitRV12QgvDaZpEY7ar+WNbim9aFS3ujwYY4mk96lxziq0u+rb/VwJEoNXdVNbYwIDThc12QgvDaZJEYGE+An7HVRU2alvFFlYzuJEcEuWZfXJhM/i5AWHco+PcxRqlclNYcYFR/mknV5bTIBSIsOOdyMSyn1Te1WG3vqmslJCHfJ+rw6maTHhFJa14LjNiClVHe7a5uxGxidGOGS9Xl1MhmXFEFjayf7G/UeHaWOVFzlaFiueyb9MDE1CoCt5Y0ejkSpoae4+hAWgaw4HTPp04TkSPwsoslEqR4UVTaRHhPqkvID4OXJJDjAj5yEcLZoMlHqG4wxbNzXwJS0ES5bp1cnE4BJqVFsLW/UQViluilraKXqYDu5mdEuW6f3J5OUSGoPdVChg7BKHZZX2gBAbkaMy9Y5oGQiIjEiskxEip3P30pzIjJNRL4UkW0iki8i3+322bMisltENjkf0wYST09yMx0/rK9217l61UoNW+v21BMR5M/YJNecFoaB75ncBawwxuQAK5zvj9QCXGOM6Wq09bCIdD9Qu9MYM8352DTAeL5lQnIk0aEBrCnWZKJUl7zSBqalj8DPIi5b50CTSffmWs8Bi4+cwRhTZIwpdr7eD1QDbutVYbEIJ42OY83OGh03UQpobO2ksKqJEzJdd4gDA08micaYCufrSiDxaDOLyCwgENjVbfIfnIc/D4lIr/dBD6QJ17zRcVQdbGdXzaFjWk4pb/RZUQ3GwEnZsS5db5/JRESWi8jWHh7faAHqbF3R63/9IpIMvAB83xjT1YPil8A44AQgBvhFb8sPpAnXvNFxAKwprj2m5ZTyRisKqogJC2R6uuvO5EA/qtMbYxb09pmIVIlIsjGmwpksqnuZLxJ4H7jbGLO227q79mraReTfwM+OKfp+GhkTSnpMKKuLa7lubtZgbEKpYcFqs7OysIYzxie4dLwEBn6Y07251rXA20fO4GzM9SbwvDFm6RGfJTufBcd4y9YBxtOr+eMSWLOzlkPtWhNW+a680gYaWzs5c/xRRySOy0CTyQPAmSJSDCxwvkdEckXkaec8lwGnANf1cAr4JRHZAmwB4oD7BhhPr86fkky71c6KgqrB2oRSQ97ygioC/SycPMb150AG1CzDGFMHnNHD9PXAjc7XLwIv9rL8/IFs/1jMTI8mKTKY9/IrWDQt1V2bVWrIMMawvKCa2aNiCA9ySf+9b/D6K2C7WCzCeZOT+bSwhqY2bc6lfE9+WSO7a5s5d1LyoKzfZ5IJOA51Omx2lm3XQx3le17fUEaQv4Xzp2gyGbDpI0eQEhXMu5v3ezoUpdyq3Wrj7U37OXtiElEhAYOyDZ9KJhaLsHh6Kp8W1VB+QFtgKN+xoqCaxtZOLpmZNmjb8KlkAnDFrHQMsOTrvZ4ORSm3eT2vjMTIoMMXcA4Gn0smI2NCOX1sAkvW7aPDau97AaWGueqDbawqquGi6Wkuv1CtO59LJgBXz8mgpqmd/26v9HQoSg26577cg90YLj9h5KBuxyeTySlj4kmLDuHFtaWeDkWpQdXSYeXFtXs5a0IimS4qHN0bn0wmfhbhytnprC2pZ0flQU+Ho9SgWZpXRmNrJ/9z8qhB35ZPJhOAK2elExbox2Mrd/U9s1LDkM1u+Nea3UxPH8HMDNfeIdwTn00mI0IDufrETN7L3691TpRXWra9ktK6Fv7n5FE47qUdXD6bTABuPDmLIH8Lj63c6elQlHIpYwz/XLWLkTEhnD0xyS3b9OlkEhcexPdmZ/D2pv2U1jV7OhylXObjbVVsLmvk9tNzBvV0cHc+nUwAbj5lFH4W4R86dqK8hM1u+Mt/C8mOD+PiGe67Q97nk0lCZDBXzkrn9Q1l7KzWsRM1/L3h/F3+2Vlj8fdz35/4oPfNcc5n61YY6Z1u07NE5CsR2SkirzirsrndbfNHExLgxx8/KPDE5pVymXarjYeXFzMlLYpzJrlnrKSLO/rmALR2642zsNv0PwEPGWNGAw3ADQOM57jEhQfxozNy+GRHNZ8WHVvle6WGkhfX7qX8QCs/P3ucW87gdDfofXN646z7Oh/oqgt7TMu72rUnZZIZG8p9723HatN7dtTwU93UxsPLizg5J455OYN3Q19v3NU3J9jZ82atiHQljFjggDGmq8JzGeCxeoqB/hZ+dd54iqsP8R+9o1gNQ398v4D2Tjv3LJzoke33WQhSRJYDPR183d39jTHGiEhvfXMyjDHlIjIK+MRZRLrxWAIVkZuAmwDS09OPZdF+O3NCIidlx/LXZUWcPzmZ2PBee4IpNaR8sbOWtzbt50fzR5MdH+6RGPrcMzHGLDDGTOrh8TZQ1a1dRa99c4wx5c7nEmAVMB2oA0aISFdCSwPKjxLHcTfh6i8R4Z6FE2lut3LPu9sHZRtKuVq71cav39pKRmwot54+2mNxuKNvTnRX208RiQPmAtudHQBXApcebXl3G5MYwe3zc3h3834+3qYlCtTQ9+SnJZTUNnPvokkEB/h5LA539M0ZD6wXkc04kscDxpiu//Z/AfxERHbiGEP51wDjcYkfnJbNhORI7n5zKwdaOjwdjlK9Kqpq4u8rd3L+5GROHYReOMdCHDsIw0tubq5Zv379oG5j2/5GFj36OQunpvDX707rewGl3KzdamPRo59Te6idj/73FOLcMMYnInnGmNyePvP5K2B7MzEliltPy+aNjeUs19YYagh68KNCdlQ28eClU92SSPqiyeQobpufw7ikCO5cupn9Ws1eDSFrimt5es1urp6TwenjEjwdDqDJ5KgC/S089r0ZdFjt3P7yRjr1YjY1BDQ0d/DT1zaRHR/Gr84b7+lwDtNk0ofs+HDuv2QKeaUN/OXjQk+Ho3yc3W64c+lm6ps7+Nvl0wkJ9NzZmyNpMumHhVNTuGpOOk98VqLjJ8qjHl5RzPKCan513ngmpUZ5Opxv0GTST78+fwKTUiP56Wub2Vff4ulwlA/6aGsFj6wo5tKZaVx3Uqanw/kWTSb9FBzgx2NXzsAYw/XPrqOxtdPTISkfUljZxE9e3czUkSO4b/Ekt98R3B+aTI5BRmwYj189kz11zdz6Up52BFRucaClg5teWE9YkD9PXDXTo1e5Ho0mk2N0UnYc9188hc931nH3m1sYjhf9qeGjrdPGLS/msf9AK49fNYOkqGBPh9SrPu8aVt926cw09ta38MiKYjLjwvihB2+uUt7LarPz4yUbWVtSz8PfncbMjBhPh3RUmkyO0x0Lcthb18yDH4yyy9UAAA2/SURBVBeSHBXMxTPSPB2S8iLGGO5+cysfb6vidxdOYPF0j5X66TdNJsdJRPjTpVOobmrnZ69tJtDfwgVTUjwdlvISf/64kFfW7+P2+aP5/twsT4fTLzpmMgBB/n48fW0uuRkx/HjJJj7aWtH3Qkr14cnPdvHPVbv43ux0fnLmGE+H02+aTAYoNNCfZ75/AlPTorjtPxv1ojY1II9/uos/frCD8ycnc++ioXkKuDeaTFwgPMifZ6+fxcSUSG59aQMrC3ssOKdUr4wxPLSsiAc+3MGFU1N4+PJpbuvE5yqaTFwkMjiA56+fzZikcG5+Po/38/WQR/WPMYb7P9zB31YUc1luGg9/dxoBbmye5SqD3oRLRE7v1oBrk4i0dVWoF5FnRWR3t8+GdRWiqNAAXrphDlNHRnHbyxt49vPdng5JDXF2u+G3b2/jyc9KuPbEDB64eMqw2yPpMuhNuIwxK7sacOHok9MC/LfbLHd2a9C1aYDxeFxUaAAv3DCbBeMTuefd7fz5ox16YZvqUVunjR+/sokX1pZy86mjuGfhRCzDNJGA+5twXQp8aIzx6jvlggP8+Of3ZnDFrHT+sWoXP3stX2uhqG+oaWrniqfW8u7m/fzinHHcdY77O/C5mruacHW5HHj5iGl/EJF8EXmoq4p9T0TkJmcjr/U1NUO/hae/n4U/XjSJ/12Qw+sbyrj+2XU0NGtxagU7Kg+y+LHPKag4yONXzeAHp2UP+0QC/Sgo3UcTrueMMSO6zdtgjOmteXkykA+kGGM6u02rBAKBJ4Fdxph7+wraHQWlXenVdfv49VtbSYgM4vGrZg65OhTKfT7ZUcXt/9lIeLA/T19zApPThtfvwoAKSruiCZfTZcCbXYnEue4K49AO/BuYdSxfbLi47ISRvHLzHKw2wyX//II3N5Z5OiTlZja74dFPirnxufVkxoXx9g/nDbtE0pdBb8LVzRUccYjTLREJjvGWrQOMZ8ianh7Nu7fPY9rIEdzxymbueWebjqP4iOqmNq595mv+8t8izp+Swmu3nDik7/49Xu5owoWIZAIjgU+PWP4lZ9/hLUAccN8A4xnS4iOCePHG2Vw/N4tnv9jDZU98yZ7aZk+HpQbRmuJazvvbGtbtqeeBiyfzyOXTCA30zlvitAmXh7y7eT93v7mFTpvhNxdM4IpZI71iEE45WG12/raimEdX7mR0fDiPXjmDsUkRng5rwI42ZuKdKXIYuHBqCrmZ0dz5Wj6/enMLywuqeOCSySREeN/ur6/ZUXmQXyzNZ3NZI5flpnHPwoleuzfS3fC7ZteLJEeF8Pz1s7jnwgl8vrOWsx/6jA+3VOhFbsNUu9XGX5cVccEjayhraOXRK6fz50un+kQiAd0z8TiLRbhubhbzcuK445XN/OClDcwfl8A9F04kPTbU0+Gpftqwt4FfLM2nuPoQF09P5TcXTCA6LNDTYbmVjpkMIZ02O899sYeHlhXRaTfcelo2t5yaPWQLCCtHseeHlxfz3Jd7SIkK4Q8XTeK0sUOjXedgONqYiSaTIajqYBv3vV/Au5v3kx4Tyv+3cOKQ6SerHDqsdl5YW8ojK4ppauvk6jkZ3HnOOMKDvHtnX5PJMPX5zlp++/ZWdtU0c3JOHHeePZYpaSP6XlANGmMM/91exf0fFLCnroWTc+L49fkTvOJMTX9oMhnGOqx2nv9yD4+t3ElDSydnT0zkp2eNZUyib/zyDiV5pfX8+aNCvtpdT05COHefP96rD2l6osnECzS1dfLMmj08tbqE5g4ri6el8r8LcsiIDfN0aF7NGMMXu+r4+yfFrC2pJzYskDvOHMPlJ4zEfxgWMBooTSZepKG5g8c/28VzX+yh02Y4d1ISN548imkj9fDHlYwxfLKjmr9/spNN+w6QGBnETadkc8WskT5zqrcnmky8UPXBNp5aXcKSr/fR1G4lNyOaG0/O4swJScO2UtdQ0NJh5d3N+3n2i1IKKg6SFh3CD07L5tKZaQT561k1TSZe7FC7lVfX7ePfX+xmX30rI2NCuPbETBZPTyUuvNfyMOoIRVVNvLS2lDc2lNPUbmVMYjg3n5LNwmkpw7Ie62DRZOIDbHbDsu2VPLV6N3mlDfhbhNPGJnDpzFTmj0sk0F//II7U0mFl2fYqXvpqL1/vrifQz8J5k5P43pwMcjOi9V6pHmgy8TGFlU28vqGMNzeWU9PUTnRoAAunprB4eipT00YM6zqjA9XaYWNVYTXv5VewYkcVbZ12MmJDuXJWOpfOTCNW9+aOSpOJj7La7KzeWcvreWX8d3sVHVY7CRFBnDE+gQXjE5k7Os4nrq491G5lTXEt72+pYEVBFS0dNuLCAzlnUhLnT05hdlaMTyfYY6HJRNHY2smKgipWFFTzaVENh9qtBAdYmDc6njPGJzA7K4asuDCv2LW32uxsLmtkTXEta3bWsHHvAax2Q0yYI4FcMDmZWVkxPnlqd6A0mahv6LDa+Wp3Hcu3V7G8oJryA60AxIUHkpsRQ25mNLOyYpiQHDks/uAOtnWytbyRLWWN5JU28GVJHU1tVkRgcmoU80bHMS8njlmZmkAGatCSiYh8B7gHGA/MMsb0+BcuIucAfwP8gKeNMV0V2bKAJUAskAdcbYzps4S7JhPXMcawq6aZdXvqWbe7nnWl9eyrdySX0EA/xiZFMDYxgjGJEYxNcjzHhQd6ZA/GZjdUNLZSWtfCjsomtpQdIL+8kZKa/6tWlx4TytzRscwbHc9J2bE+d+fuYBvMZDIesANPAD/rKZmIiB9QBJwJlAHrgCuMMdtF5FXgDWPMEhF5HNhsjPlnX9vVZDK4KhvbWLennrzSBnZUHqSwsomGlsN1wIkJCyQzNpSkqGCSIkNIjgomKSqY5KhgEiKCCQvyIyzInyB/S7+TTmuHjYaWDuqbOw4/1zd3sK++ldK6ZvbUNbOvvpWObnVzkyKDmZwWxdS0KCanjWByahQxmjwG1aBVWjPGFDg3cLTZZgE7jTElznmXAItEpABHh78rnfM9h2Mvp89kogZXUlQwF05N4cKpKYBj76X2UAdFVU0UVTVRWNnEvgbH3sGqwhpaOmw9rsciEBboT2iQH6GB/og49i6sNoPVbne8thvaOm20dfZcXDskwI+M2FByEiJYMCGRjJgwMmNDGZ0QTkKkVqUbStxxXXAqsK/b+zJgNo5DmwPGGGu36am9rUREbgJuAkhPTx+cSFWPRIT4iCDiI4KYOzruG58ZY2hqt1LZ2EZFYxvVB9to6bDR3GGlpd1GS4eNlg4rh9od/8z+FsHPYnE8+wn+FiHI30J0WCAxoYFEhwUSHRpITFiA89kzh1Tq2PWZTI7WhMvZO8ctjDFP4mjURW5u7vAbNfZSIkJkcACRwQF6J7OP6zOZGGMWDHAb5TjaXHRJc06rA0aIiL9z76RrulJqGHLHebJ1QI6IZIlIII5+w+8Yx8jvShzNzKHvJl5KqSFsQMlERC4SkTLgROB9EfnYOT1FRD4AcO513AZ8DBQArxpjtjlX8QvgJyKyE8cYyr8GEo9SynP0ojWlVL8NqHG5Ukr1hyYTpZRLaDJRSrmEJhOllEsMywFYEakBSvsxaxxQO8jhuIu3fBdv+R7gm98lwxgT39MHwzKZ9JeIrO9t5Hm48Zbv4i3fA/S7HEkPc5RSLqHJRCnlEt6eTJ70dAAu5C3fxVu+B+h3+QavHjNRSrmPt++ZKKXcRJOJUsolvCqZiMh3RGSbiNhFpNfTXCJyjogUishOEbnLnTH2l4jEiMgyESl2Pkf3Mp9NRDY5H++4O87e9PUzFpEgEXnF+flXIpLp/ij7px/f5ToRqen273CjJ+Lsi4g8IyLVIrK1l89FRB5xfs98EZlxTBswxnjNA0eV/LHAKiC3l3n8gF3AKCAQ2AxM8HTsPcT5Z+Au5+u7gD/1Mt8hT8d6PD9j4Fbgcefry4FXPB33AL7LdcCjno61H9/lFGAGsLWXz88DPgQEmAN8dSzr96o9E2NMgTGmsI/ZDhe4No62GkuARYMf3TFbhKPINs7nxR6M5Vj152fc/fstBc6QoVnsdbj8vvTJGPMZUH+UWRYBzxuHtTgqISb3d/1elUz6qacC170WsvagRGNMhfN1JZDYy3zBIrJeRNaKyFBJOP35GR+exzgKaDXiKJA11PT39+US56HBUhEZ2cPnw8GA/jbcUZ3epYZKgWtXONp36f7GGGNEpLdz+BnGmHIRGQV8IiJbjDG7XB2rOqp3gZeNMe0icjOOPa75Ho7J7YZdMjGDV+Da7Y72XUSkSkSSjTEVzl3N6l7WUe58LhGRVcB0HMf4ntSfn3HXPGUi4g9E4SgyPtT0+V2MMd3jfhrHeNdwNKC/DV88zOmxwLWHY+rJOziKbEMvxbZFJFpEgpyv44C5wHa3Rdi7/vyMu3+/S4FPjHMUcIjp87scMa6wEEet4+HoHeAa51mdOUBjt0Ptvnl6hNnFo9UX4TjOaweqgI+d01OAD44YtS7C8T/43Z6Ou5fvEgusAIqB5UCMc3oujn7NACcBW3CcYdgC3ODpuI/2MwbuBRY6XwcDrwE7ga+BUZ6OeQDf5X5gm/PfYSUwztMx9/I9XgYqgE7n38kNwC3ALc7PBXjM+T230MsZ0d4eejm9UsolfPEwRyk1CDSZKKVcQpOJUsolNJkopVxCk4lSyiU0mSilXEKTiVLKJf4fKpwpxy+W+YoAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "_NurXeud2bts" }, "source": [ "А вот одна из фигур Лиссажу." ] }, { "cell_type": "code", "metadata": { "id": "taMflQfP2btt", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "db22a78f-908c-4df2-d2e5-20282a9d06f4" }, "source": [ "plt.figure(figsize=(4,4))\n", "plt.plot(np.sin(2 * t), np.cos(3 * t))\n", "plt.show()" ], "execution_count": 8, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "13jzdsRV2btt" }, "source": [ "Несколько кривых на одном графике. Каждая задаётся парой массивов — $x$ и $y$ координаты. По умолчанию, им присваиваются цвета из некоторой последовательности цветов; разумеется, их можно изменить. Вообще говоря, подобным кодом не стоит пользоваться." ] }, { "cell_type": "code", "metadata": { "id": "vNzr6soD2btt", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "56b922c1-3c5b-40e1-880e-9255ed830ab3" }, "source": [ "x = np.linspace(0, 2, 100)\n", "\n", "plt.figure()\n", "plt.plot(x, x, x, x**2, x, x**3)\n", "plt.show()" ], "execution_count": 9, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "3E6hgCD_2btu" }, "source": [ "Для простой регулировки цветов и типов линий после пары $x$ и $y$ координат вставляется форматная строка. Первая буква определяет цвет (`'r'` — красный, `'b'` — синий и т.д.), дальше задаётся тип линии (`'-'` — сплошная, `'--'` — пунктирная, `'-.'` — штрих-пунктирная и т.д.)." ] }, { "cell_type": "code", "metadata": { "id": "ZvIK1oVE2btu", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "f600588d-2a35-4780-9d7c-a42020223021" }, "source": [ "x = np.linspace(0, 4 * np.pi, 100)\n", "\n", "plt.figure()\n", "plt.plot(x, np.sin(x), 'r-')\n", "plt.plot(x, np.cos(x), 'b--')\n", "plt.show()" ], "execution_count": 10, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "vKO2wZAj2btu" }, "source": [ "Если в качестве \"типа линии\" указано `'o'`, то это означает рисовать точки кружочками и не соединять их линиями; аналогично, `'s'` означает квадратики. Конечно, такие графики имеют смысл только тогда, когда точек не очень много." ] }, { "cell_type": "code", "metadata": { "id": "ttwDiLl-2btu", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "26226fbe-42ea-4292-9e8f-d7827d93744a" }, "source": [ "x = np.linspace(0, 1, 11)\n", "\n", "plt.figure()\n", "plt.plot(x, x ** 2, 'ro')\n", "plt.plot(x, 1 - x, 'gs')\n", "plt.show()" ], "execution_count": 11, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "gi1Wi-lU2btv" }, "source": [ "Вот пример настройки почти всего, что можно настроить. Можно задать последовательность засечек на оси $x$ (и $y$) и подписи к ним, в которых, как и в других текстах, можно использовать $\\LaTeX$-овские обозначения. Задать подписи осей $x$ и $y$ и заголовок графика. Во всех текстовых элементах можно задать размер шрифта. Можно задать толщину линий и штрихи. В примере ниже на графике косинуса рисуется штрих длины 8, потом участок длины 4 не рисуется, потом участок длины 2 рисуется, потом участок длины 4 опять не рисуется, и так по циклу; поскольку толщина линии равна 2, эти короткие штрихи длины 2 фактически выглядят как точки. Можно задать подписи к кривым (legend); где разместить эти подписи тоже можно регулировать." ] }, { "cell_type": "code", "metadata": { "id": "XTTZ2Z3Z2btv", "colab": { "base_uri": "https://localhost:8080/", "height": 386 }, "outputId": "490e00b2-78bb-4a85-c641-be67ae0e4453" }, "source": [ "x = np.linspace(0, 2 * np.pi, 100)\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.plot(x, np.sin(x), linewidth=2, color='g', dashes=[8, 4], label=r'$\\sin x$')\n", "plt.plot(x, np.cos(x), linewidth=2, color='r', dashes=[8, 4, 2, 4], label=r'$\\cos x$')\n", "plt.axis([0, 2 * np.pi, -1, 1])\n", "plt.xticks(np.linspace(0, 2 * np.pi, 9), # Где сделать отметки\n", " ('0',r'$\\frac{1}{4}\\pi$',r'$\\frac{1}{2}\\pi$', # Как подписать\n", " r'$\\frac{3}{4}\\pi$',r'$\\pi$',r'$\\frac{5}{4}\\pi$',\n", " r'$\\frac{3}{2}\\pi$',r'$\\frac{7}{4}\\pi$',r'$2\\pi$'),\n", " fontsize=20)\n", "plt.yticks(fontsize=12)\n", "plt.xlabel(r'$x$', fontsize=20)\n", "plt.ylabel(r'$y$', fontsize=20)\n", "plt.title(r'$\\sin x$, $\\cos x$', fontsize=20)\n", "plt.legend(fontsize=20, loc=0)\n", "plt.show()" ], "execution_count": 12, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "EpVUEotQ2btw" }, "source": [ "**Упражнение:** постройте пунктирный график функции $y = x^3$. Подпишите оси, заголовок и легенду. " ] }, { "cell_type": "code", "metadata": { "id": "f8d3x54a2btw", "colab": { "base_uri": "https://localhost:8080/", "height": 513 }, "outputId": "4366344d-4773-4d57-f8bd-10039fdad121" }, "source": [ "x = np.linspace(-2, 2, 100)\n", "\n", "plt.figure(figsize=(8, 8))\n", "plt.plot(x, x**3, linestyle='--', lw=2, label='$y=x^3$')\n", "plt.xlabel('x'), plt.ylabel('y')\n", "plt.legend()\n", "plt.title('График кубической функции')\n", "plt.grid(ls=':')\n", "plt.show()" ], "execution_count": 13, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "61xqcCz72btw" }, "source": [ "Если `linestyle=''`, то точки не соединяются линиями. Сами точки рисуются маркерами разных типов. Тип определяется строкой из одного символа, который чем-то похож на нужный маркер. В добавок к стандартным маркерам, можно определить самодельные." ] }, { "cell_type": "code", "metadata": { "id": "1kp688GW2btx", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "a830404a-2fe7-4741-a0ba-572753527b1e" }, "source": [ "x = np.linspace(0, 1, 11)\n", "\n", "plt.figure(figsize=(4, 4))\n", "plt.plot(x, x, linestyle='', marker='<', markersize=20, markerfacecolor='#FF0000')\n", "plt.plot(x, x ** 2, linestyle='', marker='^', markersize=10, markerfacecolor='#00FF00')\n", "plt.plot(x, x ** (1/2), linestyle='', marker='v', markersize=10, markerfacecolor='#0000FF')\n", "plt.plot(x, 1 - x, linestyle='', marker='+', markersize=10, markerfacecolor='#0F0F00')\n", "plt.plot(x, 1 - x ** 2, linestyle='', marker='x', markersize=10, markerfacecolor='#0F000F')\n", "plt.axis([-0.05, 1.05, -0.05, 1.05])\n", "plt.show()" ], "execution_count": 14, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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beh8kM21NVs7sFY4wpMs24pu02tKUNVfoLUMIsbVUORHxpq0nVZzEf+9qtaN4yckOFnb1eXvxlC7m3BvOuQTNEEJIsizBtuwgds7gjEtOZ9+YY/nLr1+l6KFaKwxOkrVwD3OWoIIQUmLnEhaeutSquQP4RAzO/9YYVr76FlN/UkfP6geZse7HfGbwBI4Ocdc0NmfEzR3EE9a5BL1lCCmxpcoLN67iyc+/b0120NLUwVMrXqV97HF8+5FN/W4NTul+j7ov/xvT/7qYire3+hJjsuzAwckSwrbi4EoQRGQG8AtgEHC/MWZJgjH/DNwBGOAVY8y3PIxTGQDOXAIbsWbuoK2zmz880cgzdHLh6r8knCOoeHsr0/+6mLbSsb4JQk/ri9ywB27YlHpz1HvDX8xTRPkhrSCIyCBgGTAVaAE2i0itMWZ7zJjRwA+BKcaYDhEZlquAFfc4WQKs8j07iHc6+l2aycKKt7f6JgYAJ8973t24HMeRb9xkCOcBO40xuwBE5GFgFrA9Zsz1wDJjTAeAMabN60CVgbFg8lz2s8q3uQO1PAsWbgShHNgT87oFOD9uzBgAEdlA5LbiDmPMX+JPJCLzgfkAI0aMGEi8ShqSWbK1T7yI2K1K+bJkU8uzYOHVpGIRMBq4BKgA1ovIZ40x78YOMsasAFYAVFdXJ56tUbLCNks2tTwLFm6WHVuB4TGvK6LvxdIC1BpjPjTGvAW8TkQglAJHfQqChRtB2AyMFpEzRORY4GqgNm7MaiLZASJSQuQWQvNDpRcVhmCQVhCMMT3AjUAd0Ag8Yox5TUQWiYjT+bMOOCAi24FngX8xxhzIVdBKcFFhsBtXcwjGmLXA2rj3bo95boCbow/FMmy0ZFMvRDvRnYo+kw9DE5st2VQY7EIFwWeCYmiSa1QY7ECLm3wmSIYm+UDnGPxFMwSfSdZV2cG2kuV8kY3lmTJwNEOwgGRZQpCzA8fx6KqfZfclztjyTMkKzRAsIFmWEMTsIL52oX7C5Z6c1xEGJbeoIFhCvO2ZjXZnqUhWxLTSI0FQ8oMKgiXEZwlByQ5sqGbcUrebYZWDU/ZxaGnqoK25k0nTfXZishwVBItwsoR9z9RYnx3YIAQOTieoZM1dYr0bldSoIFiEkyUcve06Zo+ZZWV24AiBPLgSPsQKf4N8doIKOyoIlrFg8lze7HjLupWF+Izgql1/o6pph99h9ZJpJyglMSoIllF6Yim/rfmV32H0kuzWoHHsOL9D60evKKzYxrih/8OOjouYPn+CikEGqCAoCbFpjiATKsYOZVxFI1ubLuTcsY1UjP2i3yEFChUEpQ9BFQKHlpffZMcbZWy5+Pcc93wNI1/eRcXEUX6HFRhUEJQ+JPJAbD+1hP0l/Sc4428bSvbvp/TA/rzEmYiWpg7qHnid7s//lJXf+juTPmqi7oF/ZfqJQ/W2wSUqCEofEnogHuj/RW8cO86qScWWpg7qVmzj0qF3MmX2RgD+ffZGnn/zLupW3KFzCS7RWgalD0GsNnRWEy4993n+8vmX+3RqrrtgC5ee+zx1v26gpSk4tz5+oYKgJCRIwtDW3Mn0b5/Oaa2/6NeLcfGULsre/iXTv11OW3OnTxEGBxUEJSXJhMEmJk0fScm+ZSk7NZfsW6rbll2ggqC4Il4YHhv7JXsyhgLt1JwLdFIxQ/LhgWgzjjC0TfsZ961rtMLqrFA7NecCFYQMUQ/ECDZ5IBZqp+ZcoIKQIfG+BfEEzccgW2wQhkLt1JwLVBAyRD0QE6MeiOFAJxUHQNg8EL3yPwT1QAw6miEMgLB4IObK/xDUAzGoqCAMkCB7IKr/oZIMFYQBEkQPxKBXMiq5RwUhC4LigahCoLhFBSELbPdADJIQtN+z1OqmtIWCCkKW2OiBGCQhcNi/bJkKggW4EgQRmQH8AhgE3G+MWZJk3JXAY8DnjDH1nkVpMTZ5IAZRCBS7SCsIIjIIWAZMBVqAzSJSa4zZHjeuGPg/wAu5CFRJjgqB4hVuMoTzgJ3GmF0AIvIwMAvYHjduMXAn8C+eRqgkRYVA8Ro3glAO7Il53QKcHztARCYBw40xfxaRpIIgIvOB+QAjRozIPFqlD4n8D4NA+z1L2b9sWb/3G8dV9XldsnChzivkmawnFUXkGOBuYE66scaYFcAKgOrq6sS1qoprEvofBiBDKL3pxn5f9MZxVVTtaPQpIsXBTS1DKzA85nVF9D2HYmA88JyINAMXALUiUu1VkEpigmRzpgQDN4KwGRgtImeIyLHA1UCtc9AYc8gYU2KMqTTGVAKbgJpCWWWwgcALQ9fe6P/tcTTaUrc7rSlrS1MHW+p25ymi/JBWEIwxPcCNQB3QCDxijHlNRBaJSE2uA1TcE1Rh6N5wV/T/d/ocySc4HaWTiYLj9DysMrUpS9AQY/y5la+urjb19ZpE5JK2rm7uW9fI45v/4WqOofLWJ2le8pU8Rgh07eXwsgn83MDNxwgn3rANij+T3xiSkKxZbNCbyIrIS8aYhLf06ocQYoKQMTh+iP/2w3ZWndNtVZYQ21HayRSCLgbpUEEoAKwVhji3ZBvdkWNF4YXaXaEWA1BBKChsE4Z4t2THHdmmLAEiojD+4nLq1zYz/uLy0IoBqCAUJFY0X0nSS8HGLKGlqYOG9a1Uz6ykYX1rqFvCqSAEEK88EP30P0zWS8G2LCF2zuD8mlH95hTCRuhXGcLUWCW+dmHlhMvzvyrgBdGVhVEL9ydsrlLWJbx5b6nvKw6FuMoQej+EMDRWCZsHYhA6LaX60sdONAZVFJIRekEIcmOVsFYzBqHTUltzZ8ovuyMKbc2dKghBIoiNVcIqBA5B6LTkplN0xdihoRIDKABBgORZgm3ZQdiFIJ+oR+PAKAhBsL2xigqB96hH48AoCEEAOxurqBAotlEwgmBTYxUVAsVWCkYQwP/GKioEiu0UlCD43VglqB6ItqMejd5RUIIA/jZWCaoHou2oR6N3FJwg+NlYxakd+N60Ku5bN4JpE6aqMChWocVNPmBbGbKiOKgg+EhghaFrL4cfvNyqEmXFG1QQLCBowtC94S6OtG60pkQ5ESUL8+zvEBJUECwiEMIQNTa59Dv2GZnEoqsJA0MFwUJsFgandHnraR9bZWSieIMKgsVYJwwBMEVVskMFIQ9ka3lmhQciwTFFVQaOCkIOcYRg6k/qYOVK6vcfzep8fnogBskUVRk4BbcxKR/k2vLMEYZ8ks4U1U+7M8U7VBA8JLTFS052sLAr4eHFU7qYc+9DMOVWa9qwKQNDBcEDQisEUYJgiqp4gwpCFoRdCByCYIqaDwrBlk0FYQAUihA4BMEUNR8Ugi2bK0EQkRnAL4BBwP3GmCVxx28GrgN6gHZgrjFmt8ex+k6hCYHiHVvqdjOscnBKl+aWpg7amjtdOT7nirSCICKDgGXAVKAF2CwitcaY7THDXgaqjTEfiMgC4C7gG7kI2A9UCJRsGVY5OGVjl9jGMH7iJkM4D9hpjNkFICIPA7OAXkEwxjwbM34TcI2XQfqFCoHiFam6PdnUGs6NIJQDe2JetwDnpxg/D3gq0QERmQ/MBxgxYoTLEP1DLc8Kl1zYsiUSBZvEADyeVBSRa4Bq4IuJjhtjVgArINLs1ctr5wK1PCtccmXLFisK4y8up2F9qzViAO62LrcCw2NeV0Tf64OIfBn4EVBjjDniTXj+Yl1xkRIKKsYOZfzF5dSvbWb8xeXWiAG4E4TNwGgROUNEjgWuBmpjB4jIROA+ImLQ5n2Y/hJoYVB3I+toaeqgYX0r1TMraVjfSkuTPVlnWkEwxvQANwJ1QCPwiDHmNRFZJCI10WE/JbIM/aiIbBWR2iSnCzRBFIYguBsVErFzBufXjOq9fbBGFIwxvjwmT55sgs6+zsNm0WNbzDm3rjY/vnyh2XfSUGMg6WPkrU/mN8DOd8wH/1lqzn37GPP+kmHGdO7N7/VDRtsv78nq5/fsOGju/8F6s2fHQVfv5wqg3iT5Xmr5cxbYnjGou5G3ZLNLMdVqQuxEo9+ZggqCB1gpDOpuZBVtzZ0pVxMcUWhr7sxzZH1RQfAQm4RB3Y3sYtL0kWlXEyrGDvV12zKoIOQE3y3P1N1IGSAqCAnI1gPRwS/Ls3TuRpolKMlQQYjBaw9EB0cYHrtlqifnS0mS7MBBswQlFSoI9BeCp5d+l9uf6r+PPQi4dTfSLEFJREEbpISxmlHdjZRsKEhBCKMQOKi7kZINBSUIYRYCJXjY6NFYEIKgQqDYiI0ejaEWhEAKQddeDq/+LifMXqU9DpS8E0pBCKQQRHGqE0V7HCg+ECpBCLIQAL17CC79ThcbfqedkJT8EypBCLoHYnx1onZCCg+58GjMBRIpj84/1dXVpr6+3tNztnV1c9+6Rh7f/A9PPBArb32S5iVf8TDCFHTt5fCyCYxauJ+9xYayLuHNe0s58YZtmiWEFC88GgeCiLxkjKlOdCxUOxVtqjbMFK1OVGwgVILgEDhh0OpExRJCKQgOQREGrU5UbCHUguBgtTBodWLBUrIwjx4ZLikIQXCwURi0OrFwsW2XIoRs2dEtjjB8b1oV960bwbQJUwe+KpHlzkKtTlRsoiAFwcELYch2Z6FWJyo2UVC3DMkYsAdizM5Cvc9XwkDgBcEr/0PI3ANR+x4oYSOwgpAr/0Nw6YGofQ+UEBI4QbDF/1B3FiphJDCCkEwIBrQqkG03ZN1ZqIQU61cZvC5p9sJvIN3OQq1SVIKKVYJw5aPX8voHLyc+WAWPVsGj3yhnzOvlPP6Thswv4IXfgJMdLEy+s3DOveploOSWLXW7GVY5uE97uHiPxpamDtqaOzNqD2fVLcM5ZWfT+dw1NMx5Nemjq+7rnLsr8ZcxHV6sCujOQsUGhlUO7tctOtZvwek2Pawy9Ya3eFwJgojMEJEmEdkpIrclOH6ciPxX9PgLIlKZURREbg0Ov/M5Tr7gTxQNaU84pmhIO6dOWcOCp1ozPb1nqwI9rS9ywyYwdwxO+rhhU2ScouSKVC3kU7WeT0faWwYRGQQsA6YCLcBmEak1xmyPGTYP6DDGnCkiVwN3At9wE0D8HEFNSQd/nLmc3X+8vd/Y8pnLmf38AUoO9bg5dR+SrQpker+vOwsVW4gVhenXjweyEwNwlyGcB+w0xuwyxhwFHgZmxY2ZBfw2+vwx4EsiIqlO2vORSbhqcHPtLj79hdX9sgQvswMHXRVQgk6sKOyq/EpWYgDuBKEc2BPzuiX6XsIxxpge4BBwavyJRGS+iNSLSP2uvR08vmEnDz1wc5/lw9JDPXyt5RBlNcv7/GxZzXK+1vKuJ9mBg97vK0Gl/Z6lNI6ronFcFV2zLqSsYQ3NlTMpa1hD16wLe4+137M0o/PmdVLRGLPCGFNtjKkeddpQrvrCaK757t19S5BPFq474SDFl3ySJRQNaaf4kjXMO/EAnJQy8eiP+g0oIaT0phup2tFI1Y5Gitf8nb3jZ1HZvJa942dRvObvvccyLbF2IwitwPCY1xXR9xKOEZEiYAhwINVJi46RhAVFHdOKeWLCYTpGH6TkikiWUHLFcjrGHOCJCd10X5a6viAeXRVQwkzsnMGo5j8nnWh0i5t9CJuB0SJyBpEv/tXAt+LG1ALfATYCVwHPGJd2zrElyA/9+STY+TCLL+ti/6BWznxjNe8+83VOuWgNOye3srjnI+a8fBI8cxTed+cWrX4DSliJn0BspP9Eo+erDMaYHhG5EagDBgErjTGvicgioN4YUwv8BnhQRHYCB4mIRkYMKz6eBaes5TeTP4z+Nu/h3dEHqbxtLu+OOUDPCT3sBVZN/JC5lx3L8U8ccXVeXRVQwkiq1YRsRMHVTkVjzFpgbdx7t8c87wa+7vqqSehpfZGFe2DhC5Hf5u2DDnHLKcX8/NlDlPz1k9/w743MfGJRUcJEW3Nnvy97rEejIwptzZ3eC0K+iP9tXgr8tKub5f2ar3T6E6CiWEKi7cjxE4gVY4dmfMtg1dblRNhojKooYcV6QXBQYVCU3GPVLYMbkhmjKoqSPb41exWRdmC3i6ElwP6kR48pKvrUyZ8+/ZhPHXfykQN7ticdl1tSx+g/tscHGqMXuI1vpDGmNNEB3wTBLSJSn6xTrS3YHqPt8cdIbKcAAAL7SURBVIHG6AVexBeYOQRFUXKPCoKiKL0EQRBW+B2AC2yP0fb4QGP0gqzjs34OQVGU/BGEDEFRlDyhgqAoSi/WCEI+jFxzHN/NIrJdRLaJyN9ExL33dZ5ijBl3pYgYEcn7EpqbGEXkn6Of5Wsi8geb4hORESLyrIi8HP27npnn+FaKSJuIJOxDIBF+GY1/m4hMyugCxhjfH0TKqt8ERgHHAq8AZ8WNuQH4VfT51cB/WRbfpcCJ0ecL8hmf2xij44qB9cAmoNq2GIHRwMvA0OjrYZbFtwJYEH1+FtCc58/wYmAS0JDk+EzgKUCAC4AXMjm/LRlCToxc8xmfMeZZY8wH0ZebiDhL5RM3nyHAYiKu2N35DC6KmxivB5YZYzoAjDFtlsVnAKcWfwjwdh7jwxiznojnSDJmAb8zETYBp4jIaW7Pb4sgeGbkmiPcxBfLPCIqnU/SxhhNH4cbY/6cz8BicPM5jgHGiMgGEdkkIjPyFp27+O4ArhGRFiIeITflJzTXZPpvtQ+BK26yHRG5BqgGvuh3LLGIyDHA3cAcn0NJRxGR24ZLiGRZ60Xks8aYd32N6hO+CawyxvxcRD5PxClsvDHmY78D8wJbMoScGLl6iJv4EJEvAz8Caowx7jzevCNdjMXAeOA5EWkmcn9Zm+eJRTefYwtQa4z50BjzFvA6EYGwJb55wCMAxpiNwPFEiopswdW/1aTkc0IkxURJEbALOINPJnPOjhuzkL6Tio9YFt9EIhNSo239DOPGP0f+JxXdfI4zgN9Gn5cQSX9PtSi+p4A50edVROYQJM+fYyXJJxW/Qt9JxRczOnc+/yBp/pAzifw2eBP4UfS9RUR+20JEiR8FdgIvAqMsi++vwD5ga/RRa9tnGDc274Lg8nMUIrc224FXgasti+8sYENULLYC0/Ic3x+Bd4APiWRT84DvA9+P+fyWReN/NdO/Y926rChKL7bMISiKYgEqCIqi9KKCoChKLyoIiqL0ooKgKEovKgiKovSigqAoSi//H/3eguxWMax9AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "MgSk8CiD2btx" }, "source": [ "\n", "Если $y$ меняется на много порядков, то удобно использовать логарифмический масштаб по $y$." ] }, { "cell_type": "code", "metadata": { "id": "Qh2oitNN2btx", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "9ad743f1-ca1f-4a8a-f6c6-15b60f62f489" }, "source": [ "x = np.linspace(-5, 5, 100)\n", "\n", "plt.figure()\n", "plt.plot(x, np.exp(x) + np.exp(-x))\n", "plt.yscale('log')\n", "plt.yticks(fontsize=15)\n", "plt.show()" ], "execution_count": 15, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "DU8ZHaZ82btx" }, "source": [ "Можно задать логарифмический масштаб по обоим осям." ] }, { "cell_type": "code", "metadata": { "id": "FOm-4Xz52bty", "colab": { "base_uri": "https://localhost:8080/", "height": 274 }, "outputId": "a19f3540-38eb-4bc6-fe1e-bda2efa0eaa8" }, "source": [ "x = np.logspace(-2, 2, 100)\n", "\n", "plt.figure()\n", "plt.plot(x, x + x ** 3)\n", "plt.xscale('log'), plt.xticks(fontsize=15)\n", "plt.yscale('log'), plt.yticks(fontsize=15)\n", "plt.show()" ], "execution_count": 16, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "3bsDbJoT2bty" }, "source": [ "### 2. Более сложные графики\n", "\n", "#### 2.1. Полярные координаты\n", "\n", "Первый массив — $\\varphi$, второй — $r$. Вот спираль." ] }, { "cell_type": "code", "metadata": { "id": "CwAH_oBp2bty", "colab": { "base_uri": "https://localhost:8080/", "height": 286 }, "outputId": "0a87f91a-5388-401f-d470-032a24b43dac" }, "source": [ "t = np.linspace(0, 4 * np.pi, 100)\n", "\n", "plt.figure()\n", "plt.polar(t, t)\n", "plt.show()" ], "execution_count": 17, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "du7jqViu2bty" }, "source": [ "А это угловое распределение пионов в $e^+ e^-$ аннигиляции." ] }, { "cell_type": "code", "metadata": { "id": "5Zxy8MWO2btz", "colab": { "base_uri": "https://localhost:8080/", "height": 286 }, "outputId": "1ec645cb-a376-46c4-be20-b44c2c4f8f3f" }, "source": [ "phi = np.linspace(0, 2 * np.pi, 100)\n", "\n", "plt.figure()\n", "plt.polar(phi, np.sin(phi) ** 2)\n", "plt.show()" ], "execution_count": 18, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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VPGowszNtPBtL1VNx0D6ko2se/YJe/UoeNVvZ+U0tFgutrq6mJ06coFqtdtpz7HY7fe2114xKpbIdwHq6sPv3QwDpmNSTxnhP5SzGh/F/ACCY2M/DeG+6AMDahdS31NuyN2CBfxQ3UZl07JcAHp/4LMbE0AbATgANi6iTBAcHP56VlTU0ODhIp8NsNtPy8nKan5/PylDHgd1up7f8pZCmPPoF7dXMPGXNJkstKpRSerC8i0btPUSfOXyG1XqGh4fpsWPH6NmzZ2d8KTQ0NNBVq1YNikSiG+n87qMrAPxp4vNkUVFhvCciAPA2Jtn/zrVt2RuwoEbPLiqRsxxrBRC8gPr8FArFoTvvvFMzk5F1cHCQHj16lLa2trLqH0LpNw/XWydbWK1nNpZDVCildO+HFTT6oUP0eH0/q/XYbDZaV1dHjx8/TkdHR6c9R6PR0B07dqjlcvk+ABzq2b30NIDOiXuxF4AewHtTznGKzbm4LXsDFtToKaICIH7S5/8B8OHE5xB8sxQhE0C74//zqCtMLpefefXVV6e14tlsNlpTU0Pz8vJY7Z040BjMdOOT/6VXvHiCWhmaZl0IyyUqepOVXrQvl2Y+9V/WvIUnMzw8THNzc2lzc/O0Lwur1Up/+tOfahUKxRHM0+A/tacy8S8B8EcAz8ynrJW0LXsD5t1gYD/Gk1JZJhT/DgD/mrClVAL4FEDYxLk/AVAzYVMpBLB5nnVlqVSqnmPHjk379Op0Onr8+HFaX8+u9+pkHv24isY8dIhWdizclX++2Gw2ajAYqE6nc25ff/2187PRaGTNdjQdRS1DNGrvIfrnY41LUp/VaqUVFRX01KlTM7oDvPvuuyaFQtEIIIYuTFSOAKiauI/fm69AraTNu6BwBiQSyR0qlep3X375ZVBUVJTb8d7eXtTV1SE1NRWBgZ6vql0MlZ0juOqVk7g9Oxq/2ZXCSJkWiwU6nQ46nQ5jY2PQ6XQwGAywWCzOczgcDvh8vsvCxoGBAcjlcgDjC/MsFgsm30s+Pj7w9/eHUCiEUChEQEAA/P39weMxk2n3tr8WoapzBMd/cQFEvsynIJmO7u5u1NfXIy0tbdqFisXFxbjmmmv6+/v7d5vN5qNL0qgViFdUpkAI4crl8pc3bNiw+8MPP5ROjVtCKcWZM2eg1WqxYcOGRSfl8hRKKa7+Uz56Rgz4+n+3L+hBMpvNGB4exvDwMEZGRmAwGMDn810efKFQCD8/P/D5/FlXCc+2SplSCrPZDL1e7yJYer0eVqsVQqEQMpkMMpkMEolkQXmJKjrGBfbBSxJw/0Xx875+oeh0OpSWliIqKgrTvWx6enpw6aWXqjs7O59Qq9V/XLKGrSC8ojIJQohALpcfvvPOOzOffPJJ4dRIbBaLBaWlpZBIJEhKSmIsNoknFLeq8b3XCvDk1Wtwyyb3m3k6zGYzBgYG0NfXB41GAx8fH0ilUucDvZiUGQsNfUDpeJhIh7hpNBrYbDbIZDIolUoEBwd73Ju5+50SFDQN4cTeCyD1XxpxB8Z9kMrLy8Hn87FmzRq3FClGoxE333yzJi8v70B/f/+99Fv2kHlFZQJCiJ9CofjqV7/61foHHnjALfjI2NgYSkpKkJCQgNDQ0CVv333vn8aJ+gEU/uoi+PtM/9BROh4Rra+vDwMDA6CUQi6XQ6lUzhlycr4wGU/FZrNBrVajv78fAwMDEAgEUCgUUCqVs0a4q+vV4vIXTuDe7avwiyV2/qOUoqmpCX19fcjIyHDrsdrtdtxzzz3agwcPftzf3/9DSql9SRu4jDAzwD3HIYQI5XJ57hNPPLH27rvvdgsZplarUVFRgfXr10MqlS55+3o1RnxZ3YsfbI6eVlB0Oh06OzvR09ODgIAAKJVKZGRkzBr9bCXB5XKdQbuB8TzL/f39qK6uhtlsRlhYGMLDw92+T1KIGFekhuJvJ1vxo5wYl+j8bEMIQVxcHAICApCfn4+MjAwIhd842XI4HLz++utiPz+/aw4cOOBLCLmJUjpDOrbzi2+9qBBCRHK5PO/3v/990m233ebWh+7u7kZDQwM2bdrEWkrRuXj/VBtslOK27GjnPkeUs87OTnA4HERERCAnJ4cxQ+hy4u/vj+joaERHR8NkMqGrqwtFRUXg8/mIiIhwiYZ3/4Vx+LSiG5+Ud+OOnJglb2tISAh8fX1RVFSEtLQ0F6M9IQQvvPCCyN/ff+dbb731CSHkakqpdckbucSc+3fgIiCECJVKZf69996b8v3vf99tbNDa2oru7m5s3ryZlSTnnmCy2vB+UTsuTFQgMsgfOp0OTU1NUKvVCAsLQ3p6+rKJ3VIgEAgQGxuL2NhYjI6OoqOjA/X19VCpVIiJiUG8UoSUUDE+rVgeUQEAqVSKrKwsFBUVITk5GQrFN5kBCCH41a9+FTA4OHjZoUOHPiaEXHW+91i+taJCCPGTy+XHnnvuuYRLL72UFBYWYtOmTc4udkNDA9RqNbKysuYdI5ZJPq/qweCYGdesCURRUREsFgtiY2Oxdu3aJTUUrwREIhGSk5ORmJiIzs5OFBYWQiKR4JLEQPzxaCs61HpEBDK7aNNT/P39kZ2djVOnTsFqtTrtblqtFqWlpXj++ee5QUFB2//2t7+9Twi58Xy2sXwrRWVilufrp556as2tt97qHPIUFhYiKysLLS0t0Ov1yMjIWFTycyZ492QzQoQcKDGMuPj4WQM5f1vgcrmIiopCZGQkBgYGEDtUDwD4sKgFP72MGf+dhSAQCJCdnY2ioiJYrVZIpVKUlpYiPT0dYrEYzzzzTIDBYLj8gw8++Bsh5Afn66zQt05UCCF8uVz+5cMPP7z+rrvuclr2FAoFKKXIzc1FcHAw0tPTl7UnMDw8jLKqWlR0jeKH2ZHI2Lh22dqyUiGEQKFQYNdFCrxRfQwfn+7ANrkRSUlJLkbTpYTP5yMrKwv5+fkwGAzIzs6GWCx2tveFF14QGY3Gqz/55JNXAfy/ZWkky5xz8VQWi0KheOPHP/5xxv333++Sno9SCrVaDbFYjLGxMZjN5mVp39jYGIqLi3H27FnohaGwUeCCZNWytOVc4ur0SLRpbbALg3H69GlUVlbCaFyebBsOJz8/Pz+MjIy4HCOE4LXXXhPn5OTsDgwM3LMsDWSZb5WoBAYG/mTTpk1XPfbYY24D74aGBuebJTk5GYWFhTCZTEvWNqvVitraWpSVlSEmJgabNm1CWY8BAh4H6VHeIc9cfHetCoQAJztNyMnJQXBwMAoLC9Hc3IylHGU4bCgbN27E5s2b0dHRge5u1/TNHA4Hf//73yXh4eGP+Pj4XLBkjVsivjWiwuPxtoaGhj5+4MAB6dRhTUtLC0ZGRrBu3Tpnl3r16tVLJix9fX3Iy8uDn5+f84EAgJONg9gYLYMvf/kMxecKIRJfpIZLkd80BEIIQkNDsXXrVphMJuTl5bn1GNjAISgOGwqPx0NmZiYaGxvR39/vcq6vry+++OKLQIVCcYAQsjzTVizxrRAVQkiUUqn88IsvvgicOv3a1dWFnp4epKenuxhll0JYjEYjSkpK0N7ejqysLMTExDjtOP2jRtT1jmJLXDArdZ+PrA0T40y3Fnb7eM+Ey+Vi9erVSEtLQ3V1Naqrq2G1suMmMlVQHDhsLLW1tRgeHna5JjQ0FP/+978VCoXiv4QQESsNWwbOe1GZ8Jb977/+9S9FeHi4y7GhoSE0NTUhIyNj2mljNoWlu7sbBQUFCA8PR0ZGhpuvSUHTEAAgxysqHrMmVIJRkxXtU+LYisVibNmyBSKRCHl5eVCr1TOUsDBmEhQHAoEAmZmZKC8vh06nczmWkZGBffv2Rcjl8oOEkPPieTwvvsRMEEI4CoXi42eeeSZq06ZNLsdGR0dRWVmJjIyMWR3bmBYWq9WKiooKdHZ2YsuWLQgJCZn2vPzGIUj8+EgJlSy6zm8Ljt+qplvrdowQgqioKGRkZKC2thb19fWM2FrmEhQH/v7+WL9+PYqLi90mAW655RafW265JV0ulz+36AatAM5rUQkODn76e9/7XtaPfvQjF/d7s9nsvBE88UZlSli0Wi1OnjwJiUQy7SK0yTQPjiEpRAQu59vl4LYYEkICwOMQ1HRrZjxHKBRi8+bNsFqtKCgogMFgWHB9ngqKA6lUiqSkJBQXF8Nud/V9e+6550QpKSk/FIvFNy24QSuE81ZURCLRDUlJSXe98MILLmNVu92OkpISJCUleXQjOFissLS1taGsrAzr169HdHT0nD4wncMGhMuWxzv0XEXA4yJeKUL1ND2VyXA4HCQnJyM+Ph6FhYVuRlRPmK+gOAgJCYFCoUB1dbXLfi6Xi08++USmUCheJISsn3eDVhDnpagQQqICAwNf+fTTT2VTbSW1tbUICgqacdgxGwsRFkopqqurMTAwgJycHI9uQLPVjl6tEWGy83dND1ukhIpR263xaGgjl8uxefNm1NfXo7m52eM6FiooDuLi4mCxWNDW1uayXywW44svvghSKpWfLCav0HJz3okKIYQoFIoP33nnnaCpYQq6urqg1+uRkJCw4PLnIywWiwWnTp0Cn89Henq6x2uIejVGUAqEe0Vl3qxWiTE4ZoZa55nzosO1fmRkBJWVlW7DkqksVlCAcfvOunXr0NbW5jYjFBcXh9/85jcKpVL5yoIKXwGcd6IilUr/5+qrr07Yvn27y/hibGwMDQ0NWL9+/aLd7z0RFr1ej/z8fERERCAxMXFedXYOj89eLKeo2O126PV6jIyMoL+/H11dXWhpaUFzczOam5thMpnQ3NzsXMk9MDAAjUYDg8GwpM5mUwkOGLdTjRgsc5z5DVwuF+vXr4evry9OnTrlEp93MkwIyuQ609PTUVFR4VbfPffcI1i1atWVPB5v+6IqWSbOq7U/hJDoqKioR55//nmXv7jNZsPp06exbt06xkIYOJa3T13dDAAajcZZ30IWAHaOjBsPI5bApmK32zE6Oorh4WFotVrodDqYTCYQQuDr6wuBQAA+nw8fHx+X4NeEEPB4PNhsNoyNjcFiscBsNsNkMjnd4/38/CAUCiGRSCCTySAUCllfTyXyHb+lR43z80chhCAhIQHd3d3Iz89HVlYWfH2/WcnBpKA4EAqFSEhIQFlZGTIyMpy/DSEE+/fvD8zMzHyPEJJEKdXNUdSK4rwRFcew59133w2aupistrYWERERjEdtm05YhoeHUVFRgYyMjFlDIc5G57ABHDLuJco0drsdw8PD6Ovrg1qthtVqhUgkgkwmQ1hYGIRCIQQCwZwPf3NzMyIjI2c8TimF0WjE2NgYRkZGUFtbC51OB4FAgKCgICiVSkgkEsZFJkAw/tIYm6eoOAgNDYWPj49zxbqfnx8rgjK5vsHBQbS1tSE6Otq5PzIyEo8//rj80Ucf/RPGU/SeM5w3oiKVSu+/5ppr4rdu3epyl/b390On02HNmjWs1DtZWBITE1FXV4fMzMxFJWMfHDNB5u8DPpeZ0anFYkFvby96e3sxNjbmDDIdFxfHWjYAQgj8/Pzg5+fnDBMJjHsRDwwMoKmpCVqtFhKJBCqVCkqlkpEwE9/0VDwf/kwlODgYqampOHXqFFavXo3a2lpWBMVBcnIyTp48ieDgYJcX0d133y149913r+ByuTtsNlsuK5WzwHkhKoSQmKioqIenDnvMZjNqamqQnZ3NardboVBAo9GgpKQEW7duXZSgOFhsc+12OwYHB9HR0YHR0VGoVCokJiZCJBIta0gHX19fREREICIiApRSDA8Po6enB3V1dQgMDERERARkMtmC27jQ4c9UAgMDER8fj6KiImRkZLAmKADA4/GQlpaGsrIybNmyxSmujmFQRkaGYxg0xlojGOScN9ROeM1++N577wVNfZirqqqQmJjoMjZmg6GhIXR3d2PdunUoLy9ftOcthwALtXWazWbU19fj2LFj6O3tRWxsLLZv347ExESIxeIVFS2OEILAwECkpKRgx44dUKlUaGlpwbFjx9Da2gqbbf5RFx35kLSL6KkA4zaU+vp6pKen48yZM27u9UwjlUqhUCjQ2Njosj8iIgK//e1v5Uql8jVWG8Ag57yoyGSyB6677rq4nJwcl6elt7cXdrud9XQaWq0WVZpiou4AACAASURBVFVVyMzMRHh4OCOetxxCYJ+nqoyNjaGyshL5+fng8/nYunUrUlNTF/XWX0ocq8PT09ORnZ0Nk8mE48eP48yZM/OKixIgWHxPZbINJTQ01Olez/aK9fj4ePT29mJ0dNRl/1133eUTHx+/k8vlXshqAxjinBYVQkigUCj85e9//3uXvqnFYsGZM2ewdi270dIMBgNOnz7t4u7PhEv/uKh43oby8nKUl5dDoVBg+/btiImJOaej6gsEAiQmJmLbtm0QCoUoLCzEmTNnZpzqnQzB+NBxodPa0xllpVIpkpOTnWEi2YLD4SA1NRUVFRUu7SeE4P3335fJ5fI3CSErPg7GOS0qCoXi/5544gnp1GFPXV0dYmNjWR32mM1mFBUVITU1FSKR66p1JoRlrp6Kw15UVFQEpVLpXJx4LvRKPIXL5SIyMhLbtm2Dv78/8vLy0NjYOOuwaNRoBaWAZAEZC2eb5VEoFIiJiZl23Q6TODJITvW2jYiIwO7du4MCAgJ+xFrlDHHOigohJFwkEl136623ujieaDQaaDSaWac7F4vNZkNxcTESExNnTM6+GGHhEALMoCmUUrS3t+PkyZMQiUTYtm0bVCrVeSUmU+FwOIiKisK2bdtAKcWJEydmXK8zYhj3pJX6zc8fyZNp4/DwcCgUCpSXl7Pq4JeYmIiWlha3++axxx4TCYXCxwkh7BoJF8k5KyohISF/fP755wMnu75TSlFVVcV6+orq6mqEhITMuX5oocLCIYBtmpt2bGwMBQUFGBkZQU5ODiIjI89rMZkKl8tFfHw8srKy0NraitLSUrffdUQ/PkSS+nsuKvPxQ1m1ahW4XC5aWlrm/wU8hMfjISEhAWfOnHHZL5PJ8JOf/EQik8keZK1yBjgnRYUQslqpVO648sorXdrf1dUFsVgMiYS9GCTt7e2wWq2IjY316PyFCIvUnw+92Qa9eXz8TilFY2MjSktLkZSUhNTU1GVLbrYS8PPzQ2ZmJkJDQ5Gfn4+uri7nMYd7vsTDnspCHNvWrFmDrq4uDA0Nzb/xHhIaGupcJjGZBx980N/Pz+8BQsiKDbRzTopKSEjIq6+88krQ5Le0zWZDQ0MDEhMTWatXo9GgpaUFaWlp8+ohzFdYHAmxOocNMBqNzuu2bt0643Dr24hKpUJOTg66u7tRXl4Oq9UKjcHznspCPWW5XC42btzIasR+QghSUlJQW1vrMtTy9/fHI488IpXL5Y+zUjEDnHOiQgjZlJSUtGbLli0u+5ubm6dN4s0UZrMZZWVlSE9PX9DMynyEJXJCVKqae1BQUIBVq1YhJSVl2RObrUT4fD42btwImUyGvLw89A6Nx1KR+M1uqF2s672fnx/WrFmD0tJS1gy3EokEvr6+6Ovrc9l/5513+giFwpsJISsyd8s5dZcSQohSqXztpZdeCpq832w2o7Oz0+MhyXyhlKK8vByJiYkLXs8DeC4sjtXJ5Y2dyM7OdsnN68UdR6jI9PR01Da3A5h9+MPUWh65XA65XI6zZ88uuIy5WL16Nc6ePevSW+HxeHjuuedkPj4+eYSQfkJI9XTXknFeJIQ0EkIqCSEbWGvoJM4pUeHxeJfn5ORETl3H09TUhNjYWNZyHnd1dYHP50OlWvyLYS5hsdvt6Gw8A18eAVeiYN0b+HxCJBLBKJBB6c9BW0vTtDM0TC8OjI+Px9DQkFtcFKbw8/NDUFCQi90IAK677jquSqUKAnDnLJdfDiB+YrsbwKusNHIK54yoEEJIUFDQH/ft2+cSS8BsNqOvrw8RERGs1GswGNDQ0MDogsSZhMVisaCwsBAikQhRQUJ0Di88fuq3ldqeMWyIVUCv16OsrMxlaMLGamNHwKXKysoFLSvwhLi4ODQ2Nrp8F0II3nzzTXFwcPADs1x6FYB36DiFAKRLMWQ6Z0QFQE52dnZQVFSUy87GxkbExsayYm+glKKiogIpKSmMz7ZMFRaz2YzCwkJER0cjLi4OEYFCdKi9ojIftEYL2tV6rAmTIC0tDSKRCCUlJbDb7ayGLwgICEBERATq6uoYLdeBr68v5HK5W2/lwgsvJGKxeB1mXhgcBqBj0v87J/axyjkjKqGhob99+OGHXaY+LBYL+vr6MDWfD1N0dHTAz8+PNZuGQ1jy8/ORn5+PhIQE51qlmGB/tAzpYLKy8/Y7H6mdCHidHDouGvHx8QgODkZ+fj5KSkpYDV8QExODkZERxnMKOVi1apVbCldCCO69914xIWRFJYc6J0SFEBIVHByckp6e7rK/tbUVUVFRrPRSzGYzmpqakJyczHjZkxGLxbDZbLBarS5BpDKiA2G22lHezn66zvMFR76fNZNyJQUHB0On04HH42Fq8C4mcQyDqqqqWJkN8vX1hVQqdZsJuvLKK3lcLlcyg5dtF4DJdoHwiX2sck6IilKpfOjXv/61y4yPzWZDZ2cna+74dXV1iI+PZ9XJzGKxoKioCGlpaUhNTXWxsWTFBoFDgIJm9hyszjdqujRQiASQi8bdChxDnuzsbERGRqK0tJRV93qhUAiFQuG2bocpHLaVyQgEAkgkEo5QKLxlmksOArhtYhZoEwANpbSHlcZNYsUvZSWE+IWFhV177bXXughgd3c3QkJCWFmNq9VqodVqWV3lbLfbUVxcjFWrVrlERnOEppT4CZASKkF+0xD2XMxaM2bEZDJhbGwMOp0OOp0OZrMZFosFFosFlFLodDoUFBQ449cKBAIIhUIIhUIEBAQsi8dvTbcWKRNDn6k2FLFYDJPJhMrKSqSmprK2vCE+Ph4nTpxAWFgY41H1hEIhfHx8MDw8DJlMhhtvvBG5ubkYGRnhUEpfJYRQAHwAoJS+BuBzADsBNALQA/ghow2agRUvKr6+vt+/7bbbhFPFo7W1FRs3bmS8PkeenpSUFNZuPEopysrKoFQqERb2jd1saszb7FVBeOtkK4wWG3z57K541+l0zri1o6Oj8PHxgUgkglAohEwmg4+PjzP4NQCcPHkS69evdwqN0WiETqfD4OAgRkdHYbPZIBaLERwcDIWC/anxXo0RZ/tGsWtd6IxG2YSEBFRWVqK+vp41z2sej4e4uDicPXt22pfSF198gQceeAA2mw133nknHnroIZfj7e3tuP322zEyMgKbzYZnnnkGO3fudB6PjY1FS0sLZDIZ9u/f79x/2WWXjXz55ZfllNJSxz463i27j4WvOTuU0hW9qVSq6ra2NjoZtVpNi4qKKBt0d3fT06dPs1K2g7Nnz9KqqqoZj/f19dHc3Fz6ZWUnjdp7iOY1DLDSDq1WS2tqaujRo0dpQUEBbW5uplqtltrt9jmvPXr06KzHbTYbHR4epvX19TQvL48eO3aM1tfXU71ez1DrXXk7v4VG7T1Ey5t66JEjR6hGo5n2PLvdTgsKCmhXVxcr7XDUcfz4cbc2WK1WGhsbS5uamqjJZKKpqam0pqbG5Zy77rqL/ulPf6KUUlpTU0OjoqLcys7NzaVGo9Fl/3/+8x+qUqk+oCvgmV3RPRVCSNLmzZsVU+0mLS0tiImJYbw+SinOnj2LqcncmaS/vx8DAwPIzs6e8RxHj+V0VS24HIKCpiFsiWPGwG+z2dDV1YXW1lYIBAKEh4cjMTGRccdBDocDqVQKqVSK+Ph4WCwWdHd34/Tp0yCEIDY2FkqlkrHe4Jc1vYgJ8oO67cysszyEEKSnpztDR0yNhcMEjnU7jiDoDoqKihAXF+f0/N69ezc++eQTl8kAQgi02nGDs0ajcYtc6PAebm9vR3x8vHP/RRddBB6PdwEhJIAucyzbFW2oVSqVD/7sZz9zMdBaLBZotVoEBQXNdNmC6enpQVBQEGtddb1ej5qaGqSnp885Y6VQKLBhbTKixQRHz/bNeq4nWK1W1NfX4/jx49Dr9cjMzERWVhbCwsJY80SeDJ/PR1RUFLZs2YLU1FT09/fj2LFjaGtrW/RsyYjejMKmISSLLR5NG/P5fKxfvx6nT59mLZJbYGAgrFarUyCAcc/syU6a4eHhbr4nv/nNb/Dee+8hPDwcO3fuxEsvveRWdlhYGLq6ulyMzhwOB3fccYfQ399/2RO8r1hRIYRwCSG7rrjiCjcDbWhoKOP2DkopGhoaEBcXx2i5Dux2O06fPo20tDSPRUuhUODKtDDUdI+iumNhs0B2ux0tLS04ceIEuFwutm3bhqSkpGV1/w8ICEBqaio2b94MnU6H48ePo7u7e8EzM4fK2mCjwM3b13jshyKRSBAbG4uKiooF1ekJCQkJqK+vn9c1+/fvxw9+8AN0dnbi888/x6233uomunw+HyKRyG1pwF133eUvkUhm87BdElasqADI2r59O2/qLEJHRwcrLvl9fX2QSqXOWLNM09jYCLlcPu/QBbduTQSXQ/Dy5+4BieZCrVbjxIkTMBqNyMnJcQYYWin4+PggOTkZmzZtQn9/PwoKCjA2Nr+eu1arxUenmqAU+SA7cX5Bzh1pQnp62JllDQ4OhslkcgayDgsLQ0fHNw6unZ2dLoZ6AHjzzTdxww03AACys7NhNBoxODjoVrZjCDSZ0NBQBAYGygkhcrcLlpAVKypKpfLmm266yWWMo9frweFwGH/wHb2UyWNUJtFoNOjt7V1Q+UEBAly8WoGiPoq8/AKPhMVms6Gqqgp1dXVIT0/H6tWrV3RQJ19fX6xbtw5JSUkoLS1FQ0ODR70WrVaL/FMlqFVTXLZmYSE1U1NTUVdXx1qk/Pj4eDQ0NAAAMjIy0NDQgJaWFpjNZhw4cAC7du1yOT8yMhJff/01ADgzCUx2OXAQFBSE4eFht17M7t27A3x8fK5g5ct4yIoVFULIFRdf7Oqg0dXV5absTDA0NAShUMhIErCp2O12VFRUYN26dQv2/L1hYwTUeivUAtWcYRO0Wi3y8vIQEBCA7OzsRYVqWGoCAwOxdetW5zqo2QIgOaaNO3ihMFrt2LVuYalYfHx8kJSUhMrKyoU2e1bkcjl0Oh0MBgN4PB5efvllXHrppVi9ejVuuOEGpKSk4NFHH8XBgwcBAPv27cMbb7yBtLQ03HjjjXjrrbemFUtCCORyuVus3muvvdZPoVD8gJUv4ynLPf003QYgLicnp59O4dixY9RkMk3dvWiKi4upWq1mvFxKKW1oaKB1dXWLKsNitdGNT/6X3vl2sXO6eeqUIqWUdnV10aNHj844ncokc00pL5a+vj565MgROjQ05HZMo9HQI0eO0OGREbrjuaN018t5Hk2Dz0ZxcTHt7e2d9tjhw4dpQkICXbVqFX366aenPeeDDz6gq1evpsnJyfTGG290OdbW1rboe2A61Go1LSkpcdlnt9tpeHh4PwABXabnd0X2VCQSyfW33HKLS4gDnU7n9N5kEqPRCL1ez3jydmDcK7Wjo2PRxl8el4NrN4ThSF0/iJ/ELWwCnZgKb29vx5YtW1hN0blUKBQKZGVlobq6Gp2dnc79kx3biruMaBnU4c6cmEUb7lNSUnDmzBm34YTNZsN9992Hw4cPo7a2Fvv370dtba3LOQ0NDXj66adx8uRJ1NTU4I9//KPL8bCwMHR3dzO+JkgqlUKr1bqEXCCEYOfOnXwAOxitbB6sSFERCoU37dq1y8WHpre3l5EgSVNpb29nLSr9mTNnGPMBuWFjBGx2incLWl3CJhiNRlRWVsJkMiEzM3NF207mi7+/PzZv3ozOzk5nQvfJnrJ/OdGMMKkfLl8ze1YDT/Dz83OmXZ3MZN8SHx8fp2/JZN544w3cd999kMnG34NTV7VzuVwEBwe7LQZcLIQQBAcHuwXg3r17tzQ0NPR2RiubBytOVAghMrFYHDJVQHp7e6FUKhmti1LKmp1Go9FAp9MxJoSr5AH47loV/nqyFWqdGQqFAklJSTh69Cg4HA7Wrl17Xsaw5fF4yMzMRF9fH/Lz852CUtWpwakWNX6wORo8LjPfOy4uDu3t7S42K098S+rr61FfX48tW7Zg06ZN+OKLL9zKjo6OZmWhYUhICHp7e1325eTkwGazXUCWKX/LirsL+Xz+zhtuuMFljbrFYoHNZmN81mdgYACBgYGsvN3r6uqQnJzMaA9oz8Xx0Jmt+PPxJudUqEKhgFqthtlsZqyelcbY2BiMRiMkEgkGBgYAAH/Ja0aAgIfvZzLnXsDlcrFq1So0NTXN6zqr1YqGhgbk5uZi//79uOuuu9xSa4hEIthsNuj1esbaC4zPAg0NDbnMlk0EA+cBSGO0Mg9ZcaKiUCh+eN1117lMwwwODk47rbZYurq6WAnwpNFoYLfbnd1hpohXinD1ujC8nd+KgrIacDgcbNiwgZGk8CsVx5Bn48aNyMrKQn9/P/KrGvFZZQ++nxEBsS+zL4Tw8HD09fU5RdoT35Lw8HDs2rULfD4fMTExSEhIcE4jT8ZhW2ESDocDoVDo5t9z8803BwUFBe1mtDJP27Qclc7ERPLptVNXd/b39zMuKna7HSMjI6zk0amvr0dCQgLj5QLAAxfFw2K1493SfmcmRiZyN69EptpQOBwONm7ciGf+0whfHgf37ljFeJ0cDgcxMTFobm4G4JlvydVXX43c3FwA4y/A+vr6aTM7qFQqt6EKE8jlcmcPzsHll19OfHx8rmW8Mg9YUaICIDE1NdVtKOiIH8EkQ0NDCAwMZNxAOzo6CrPZzMraJACQ8a3YEsbDV61G9Gi+8eM434RlpvAFxxvVqByw4YoYDgJ47ARcioyMRE9PDywWi0e+JZdeeimCgoKQnJyMCy64AM8999y0f3+BQABCCAwGZmMPTycqE97hUkIIO4mwZmO55rKn2wghtz799NMuDhgGg4GePHnS06l7jykvL6f9/W6uMIumsrKS9vT0MF4upZSazWZ69OhRerZjgMb96jO650CZ2zmz+bEwCZt+Kg4/lKn+NkaLlW579gi9aF8u7eruoSdPnpzRP8UT3xJKKf3www8pAFpcXOyyv76+nra0tCz6u0ylqamJNjU1MVqm3W6nR44ccfstrrvuugEAG+m32U8lNDT04qysLBdlVavVjA9RKKVQq9WM9yasVisGBwdZC5RdU1ODVatWISE8GPduX4V/l3XhSJ3rNOW53mOZLer9m3ktaBvS49ErkhGqCoFUKnUOUybjiW8JMN6rfOGFF5CVleV2LDIyEu3t7S4GUCZQqVSMrzUihCAgIMC5xsjB9u3bpXw+n/lIZnOwokTFbrdnrl+/3mWfY5jCJCMjI5BIJIxPwTpWULMxtdvf3w+TyeQ0LP/kwngkKkX45UdVzvzBDs5VYZlNUPq0Rrx8pBGXJCuxLWHcvpaYmIjOzk63h8kT3xIAeOSRR7B3795pV2wLBAL4+/u7zeIsFj8/P9hsNlgslrlPngeBgYFukfwzMjJ4SqXyIkYr8oAVIyqEEC6Pxwuc6tk6MjLCij0lOJj5rAYORzqmsdlsqK2tdUkM78Pj4NnrUzEwasL/fXbG7Ro2hcVutzP+Bp9NUCil+NVHVbDaKB7+7mrnfi6Xi9TUVFRXV7u0xxPfktOnT6OjowPf/e53Z2xTVFQUWltbF/nN3AkKCmI8lcd0ZaampsJqtS5JqtPJrKTIbwmrV6922WG322Gz2Rj3IxkcHERqaiqjZbK1ghoYT+saFhbm9kZNi5Di7m2r8NqxJnw3VeV8gzuYGvN2vsnrLRYLhoaGMDg4CK1W65xmJYRAp9M5Zzx8fX0hFoudoR3m60E8V6KvN/Na8HVdPx67MhlRQa5pNmQyGQQCwbw8ru12Ox588EG89dZbs54XHByM6upq2O12RnufwcHBGBwcZNSZUywWu/XY/P394evrKyKE+FBKl8yRacWICiEkffv27S531NjYGOPh/iilMBgMjK9I7unpcQv9xwQmkwnd3d3YunXrtMf3XByP/9b24pcfVeHwnq1ufhvzFRZKKQYGBtDW1gadTge5XA6FQoH4+Hj4+Pg4e0q5ubnYsWMHKKUwGo0YGRlBT08PqqurIZPJEB0d7dF6qrkEpbJzBL/7og6XJCvxg83R05aRnJyMwsJCKJVKcDicOX1LRkdHUV1djR07dgAY99betWsXDh486BJM3eEGz7SdLDAwkPGk7g7Rs9lsLqK+fv160traugbAaUYrnK0tS1XRXKhUqouysrJcXsUO2weTaDQaxssExkUlJGTxa1Cm0tjYOGtwJV8+F899Lw19WiP2HCiHze4+LPF0KNTf34+8vDx0dXUhPj4e27dvR0pKChQKhXM6dCqEEOe6mdTUVOzYsQNhYWE4e/YsCgsLZ7VJzCUoWqMFP3m/DPIAAZ67fua0Gr6+vlAoFM6Fh3P5lkgkEgwODqK1tRWtra3YtGmTm6A4UKlUjDus8fl8EEIYt6uIxWKX8JUAsH37dgmfz89gtKI5WDGiQinN2rDBdfin1WoZX3E7ODjIuD3FaDSCEMJ4iEaz2YyBgYE51yZtiJThsV0pOFLXj+e+nP4NOJuwmEwmlJSUoK2tDRs2bMD69eshlUoX5MPjiPORlZWFpKQk1NTUoKamxi0W7FyC4rCjdI0Y8OKN6yH1n311+uS0oJ74lniKw1bB9Arj6Qyri0UikbiJSkZGBl+hUCytsXap57Cn2wBwwsPD3ZxGCgoKGE/pUFxczHi8kba2NlpfX89omZSOp/Jobm72+PxffVRJo/Yeov8+3TnjOVP9WIaGhuiRI0dod3f3vNrmqZ+K3W6nzc3NNDc3l46NjVFKZ/ZDmexbsvux12nU3kP0pa+/+V337dtHV69eTdeuXUsvvPBC2tra6nJ9RUXFvL+HJ5SWljIeb6ezs5PxGCt9fX20urraZZ9Op6MhISGN9FvopxIaGRnp9iowGAyMv/3HxsYYj4bGxmwSpXTea5N+sysFWTGB+MW/KlHeMf2wY3KPpbW1FdXV1cjKymIlrAQw3nOJiYlBWloaioqK0NHRMW0PZbJvyTP7v0aBMRSbI/1x745vYtGsX78eJSUlqKysxPXXX49f/OIXLnXFxMSwMlszXXiBxTLdUGWxiESiaY21PB6P+Twks7BSREUVFRXlYjRwGJyYdKO32+0ghDDuR8KG7WchK6j5XA5evSUdCpEAd79Tgg719CtiFQoF5HI5qqurkZ6ezkoYzalIpVKkpKSgvLwccXFxbkMeh29JmyUAD/27BqHcMaweOQUu55u//wUXXOBs66ZNm1yCNwHjD5Xdbmd8JbDDWMskAQEB0Ol0jJbp6+s7bQhOsVgMQgh72emnsJJExaVLotfrGb/Z2eil6PV6+Pr6Mi5UnZ2dC8oaECj0wV9u3wiT1Y7drxdOKyyDg4MYGhpCeno6SkpKlsRBTqvVoqamBllZWWhsbHR7oLq6uiCOScWP3zuNxBARfhhvRl935wyljUedv/zyy932T+eTslj8/f1hMBgY9c0hhIAQ4hK1jYkyAbi1c8Imx05XdBpWhKjweLzQqKgoFwUxGAyM+3ywYfgdHh5m3OPXbrdDo9Es2OkvKUSMv9+ZhTGTFd//cwHah74RFoPBgKqqKmzcuBEqlWpJPG8nG2UVCgXWrVuHkpISF+Ntj56gXLwZCrEAb/0wE76zuLq89957KCkpwc9//nO3Y2y4wQPTDy2YKHO+KUnmYrreSmRkJA/fNlEJDAyMDw0NdWkLGz0VrVbLuN8LWzNUQUFBixr6rQmT4O93ZkFvseH7rxegdVAHSikqKiqwZs0ap2Cz7dI/3SyPTCZDRESE01fjVPMQXmvwA7Wa8e6PsiAXCaaNWwIAX331FZ566ikcPHhwWp8bHx8f8Hg8xlcCs2EDYaNMf39/t+FfdHS0HwDmnahmYEWIikAgiJ7qOMZGT4UNpze2RIUJZ6s1YRK8f+cmGC027H69EHlVTfD19XWLTcOWsMw2bRwTE4ORkRH8s7ARt75ZhBCpP2z/eRY2bd+McUvKyspwzz334ODBg7P+PnK5nHEbCBsC4Ofnx7j4TVdmZGSkn5+fH/MZ+GZgRYgKpTR86uyDyWSat1v5XBiNRsZnk9gQqqGhIcZWUCeHirH/7k2wUYq7PjiLLkxfLtPCMpcfCiEElQYZfvHxWawNl+Bf927GK88+Matvyc9//nOMjY3he9/7HtatW+cmOg6CgoJYERWmhz8zGVYXg0AgcPv7qVQqSKVSdvL5TsOKcNO3Wq2Kqesg2BAVi8XC6Doim80GDofD6AyVzWaD3W5ntJ1JIWL8+dpYPPRZM+47UImzAwbsuSgeHI5ruxe7VsjBXIJitNjw9Odn8HZBGzJUPnjp+kRI/X2wc+dO7Ny50+Xc3/72t87PX331lUf1S6VSxpODsdWrYENUptppVCoV+Hx+FKMVzcKK6KlwuVwBj+eqb2azmfEcPwAYFQA2ej6jo6OM230AQD/UjX/cswnXp4fjxa8bcPe7pdAa3d3EF9tjmUtQGvtHcc2f8vF2QRvuyInBS7vTZp3lWQgcDgccDsfNi3cxzDSzshiWsqdis9mYTxkxA8suKoQQro+Pj1uPyWazYarQLAZHaEAmYUNU2LDR6HQ6cLlcSEUBeO76VDy+KwVHz/bjO88fx9dn3HPRLFRY5gpf8EFxO6586ST6tEa8eftGPHJFMpQKOdRqNaNTqwA7szV8Pp/R9TocDodx9//p2hgYGAir1cps/JBZWHZRARAsl8uZ/WWngY3hFBvGZDZWZvf19TkXOxJCcPvmaHx072ZI/Pi44+0S7DlQhmGd68r4+QrLbILSOqjDHW+XYO+/qrAuQorDD2zFRauVzvawEV+EjelaNoZATMPj8dx6aIQQ8Jcwy9xKEBX/gIAA1pMeTV0SzgRsGX6ZFqrpUpykRUjx6f/k4IGL4nGosgeX/OEY3itsg9n6jb57KiwzCYrOZMXvvqjDd/5wHKeah/Drnavx3p1ZUIpdf7PpAjcvFjYEgI3hCiGE0d7KdKICAFwud8kSi80pKoSQvxJC+gkh1ZP2rSOEkmQp8QAAIABJREFUFBJCygkhJYSQzIn9hBDyIiGkkRBSSQjZMOmanxJCThNCvj+lCt5SiCgbomK1Ws+JIZVer4dQ6O6l7cPj4KeXJODT/8lBdJAQD39cjYufP4aPTnc6QyjMJSzTCYrOZMVf81pw4b5cvJrbhCvSVDj6sx24a1usi9u9A0dOYCZhQwD4fD6jdhpgPHodk0M/Lpc7rUjNJ1shIeQyQsjZief4oYl9KYSQAkLI24SQWXXDk57KWwAum7LvWQCPU0rXAXh04v8AcDmA+IntbgCvTjQoAEAGgEwAN00py01U6HhkfQ+a5jl2u51xUWFDqJZjhmq1Sox//r9s/O2HGQgQ8PDgPypw0b5cvH68yZlidTphmSoovRojnv/PWWx+5gh+e6gWUYFC/OvezXj+hnVQiGcWSrYMlkxnbeRwOIzbfmYSARYgngjLRO6tVzD+LCcDuJEQkgzgQQC7AJQA+M5sZcz5mqWUHieERE/dDcDRz5UAcESxuQrAO3TcRF5ICJESQlQAxiZd59YGPp/v8mXZEBXHw8V0mUyLCsDsDJXZbPbIlkQIwQWJCmyPl+OLml787WQL/u/zOvz+y3pctFqBi1YrsSYqzjndbLfbUVJSAuWqFHx6ZhifVtTgVMu4XeSS1Urcs30V0qM8sw2ykfKX6R4AW2WyIVTTMXGfcgDMVVkmgEZKaTMAEEIOYPy55mL8+bUDmPUPttC++x4AXxJCfj/R0M0T+8MAdEw6rxNAGKW0hBBShXGVe25qG3g8nksjmY4JCrAjAGz0fphmvrNeHA7BzrUq7FyrwtneUewvasfh6h4crp6UWe/wZH+REgBArFyIPRcl4Kp1oYgOnv+CWEeqWKb+7oQQ9Pf3M1KWA7PZzLidZnR0FCaTiVEHSo1G47avqakpGIAvgLmWRk/3DGcBeAHAZwAaALw2WwELFZV7AfyUUvovQsgNAN4EcPFsF1BKnwbw9DSHiF6vD3AEUZ441yWwMhM4krwzudhMr9djaGiIUWEZHR1l9HvbbDaYTKYFlam3UNhGrJDxrHCfeHZFQowwDbThbEUnWhdoEzx27BhjvRa73Q673c7ob2k0GmGz2TA8PMxYmTqdDqWlpYzb5mb43gu+USmlZRgXlzlZ6De5HcADE5//CeAvE5+7AExeYxA+sW82rAKBYHTHjh3OQbfNZsPJkyexbdu2BTbPnb6+PqjVakyN2L8YKisrER4ezugqZUdAaabQ6/Worq5GZmamx9ec6dHi7fxWfFLeDYPFhnhFAO7doURGuBDmngZs2ZSBU6dOwQweuMp4FLaO4LPKHvypwgSRLw+3bIrCDzdHz2pHmQrT39tgMKCiogKbNm1irMy2tjbY7XbExMQwVmZRURHWrFnDaE9lut8yLi5uoLGx0ZNAMwt5hl1YqKh0A9gOIBfAhRjvEgHAQQA/mRiHZQHQUErn6hpYpxrUOBwO43ll2DKyLcV4eDH4+Ph47MDWPDCGP3zVgE8ruuHH52JXWihu3hSJ1HCp0yi7ZVMGRCIReDweUpOTcebMGTz0nU14+LvJONU8hPdOteG1Y01480QLrksPwwMXJSBEMru4MP23BtgZ7rJVJhvJ56aph2BuewoAFAOIJ4TEYFxMdsN9cmVW5hQVQsh+ADsABBNCOgE8BuAuAC8QQngAjBif6QGAzwHsBNAIQA/ghx60wWqxWFzuKkII4zfauWK44/F4jM4A8Xi8Ods4NGbCc1+exT9LO+HD5eC+C1bh7q2rIPEfb4NDUDZu3OjimDd1rdDmuGBsjgtG66AOb5xoxj9LO/FJeTfuuyAOd26NgYA3/QPJxpIMNsq02WyMO1AulV1uIgHcnA8VpdRKCPkJgC8xPlz6K6W0Zj51eTL7c+MMh9KnOZcCuG8+DQBgYTpVwXSwMXXH5XIZ91twTK8yOa0sEAimdaqjlOLTyh785mANRo0W3JYdhR/viINc9M2DM5OgOJhuEWJ0sBBPXbMW/2/7Kjz5WS2e+/Is/lHSgceuTMaFSe4JtDQaDeNLE9jw97FarSu+9zOTsdsTQZl07ucY7yAsiJXgUWsyGAzM93+nwEavgg3/Cl9fX8ZnGIKDg908Vvu0Rtz9binu31+GiEB/fHb/Vjx2Zcq8BMXBTH4sEYH++POtG/HuHZngczn40Vsl+PW/q2C0uP4dBgYGWEmbwrSosFEm0zOdMzlkUkqXxBkGWBmiMvD/2zvz8LbKM+3fR5JlW7blVZL3LXFCnMROnMQOcRKYgW+gKczQllJo6d5SSmlL17R8HQa+CaWlQKEr0zLspSuUJWxtFjtx4njf992ytVqyJGvfnu8PWcay5P2ceIl+13WuOEfSeV/ZR7ee93mfRavVcj6P5fgWlgoXohIbG8t6zopUKoVa/cH+TWWvFv/283M416vF/z22A6999RC2yQJFY6mCMnuM+SJvjxRI8M43juArR/Pxh5pR/PuvqtCj8iX70XRHRLbqx/iZmppivR4xF6LCNqFEhYjgcrnYNakXYM1FhYhcNpstyIRg27HKdoYpwI2ocFEMSCwWw2q1wuFw4OnKAXz+uVqkJ0TjvfuOhgydX66g+FlIWIQCHn54bAde+EIp9BYn/v1XVXilZhQGgwGxsbGs98uemppifUnFdlKqv7sDm4SKSzKZTODxeOzmQSzAmosKAHg8HudcAREKhayGWXMRtclF0lpcXBzreTAMwyAlNR13v1CDn7zbjWO70/DqV69GXoggtZUKip/FcoWu2SbBu988itK8JNz/9zY89EYLMlfQNWAhpr+ZWRcqgN37yOFwsG75hBI+pVIJgUDAbu/WBVgXosLn8yfmlv8LVWxmtfh3Vti8ntvtZnWnKiIiAl6vl1UHsGbKju++p0TF4BS+928F+OUdeyEKLmGzakHxs5iwSOJ8FfNv35+O17steOSsIiA7erVwUejKbrezvpvERbO8+UTF7XaPsDrQAqwLUeHxeONzI125EBWuHKtsXzMpKYm1qE21yY7bf3cJIzorHr4hE9elhza52RIUP4sJC5/H4KPZLny1PANvNCvwhefrYHawI6Rc9MvmongWFz6a+URlampqgNWBFmBdiIrL5RpWKAKtMy52QbhYrnDhAwm1W7MSVEafoKiNdrzwhVLcfs1uaLXaoOUV24LiZyFhUSqV4PP5OH7zHvzs1iJUD+rwif+phtG6ekuSK8cv26LChaUS6ppyudwxNTV1ZVkqer2+T6FQBKwh/F3h2CQ2NpYTJyjbPhCJRAKNRrOqZZXSaMPtv6uGdsqBF75QigO5SeDxeCguLkZTU9PMMpArQfETSlisViu6u7uxa9cuAMDH92fhmc/uR5/ajC++UAebc+UOerfbDZvNtiH6O3GxTAvV3WF4eNiKDyoJcM66EBWn0zk+OjoakJcQqinSauFCABISElgvhSgQCCASiVYsgJrpJc+E2YkXvlCK/bkf5CaJxWJs2bIFjY2NMBqNnAqKn9nCYrFYUF9fj+Li4gAz/V+2S/Hk7XvQMDqJe19phMuzMh+LWq3G3M4MbGA0Gln/HXFl/cwNchwZGXEBYL9t4zysC1EBoBwZGQlwTHAhKlwUQ/Y32mY7rSAjIyOoAflSsLs8+PJLDdBOOfDSF0tD1jTJzMxEdHQ0Lly4gH379nEqKH6kUim2bduGs2fPIicnJ2QS5rHdafh//7ELp7s1+MGrbSv6nc7X2XA1+COc2Yx8JSLWi7sTUchguune0lekqATYvEvJWVkuAoHAnwPB2jUZhuFErFJTU6FSqZaVWkBE+OFrbWiRG/DEbXuwNzt0kSSTyQSdToesrCx0dXWxHr8TCpvNhv7+fuTn52N4eHheJ/ynD+bgvusL8GrjGH7ybveyx3A6nax/++t0OtYdv1zUIp6vIJfBYACAKytOBcD48PBw0JYEF1GwXFhAXHTE4/P5kMlky6r/8rtzg/h70zi+83+24cZdqSGfM9uHsnv3bmRkZODixYusLwtno9VqcenSJRQWFqKwsHDRYtrfvK4Anz6Yg/85N4jXGpdurY2MjCAnh/2eWf7e1mxyuXw0TqcTTqfTvpzcn9WyLkSFiFwOh8NksQQWpeLCsRofH+9XbtbwO1bZJi8vDwMDA0uyrM50q/GT97rx4aI03PuvoTtchnLKZmZmYu/evWhpaUF3dzer8TEOhwPNzc0YGBjAwYMHZz6Yi203MwyD/7q5EKW5SfjR6+0Y1C6etuB2u6FUKllf+hAR9Ho9EhPZbZtjMBgQHx/P6jXNZnNQakJ7ezsEAkEbqwMtwroQFQDg8/kNzc3NAee4cKxyYVXExsbC4XCwvowQiUSIi4tbVLCGJyz4xh+bUZgmxmO3Fi87DkUsFqO8vBxCoRDnz59Hf3//qqKZrVYrOjo6UF1dDYlEgrKysiBTfzFhEfB5eOqOPRAKeLj3laagJMS5DA8PIysri/UsYr+Dlu3rstkv208o66e+vt6j1+tPszrQIqwbUVGr1adqa2sDPpXx8fEh622uhsTERFbLAfqRyWQBSXtssW3bNvT29s5rrXi9hO//rRU8BvjdZ/YjWhh88y9l25jH4yE/Px9HjhwBj8dDdXU16urqMDo6CpvNtqC1REQwm80YHBxEdXU1mpqaIBaLcfToUWRkZMwb2r6YsKTFR+OxW4vRqTThkXe65h3f5XJBLpcjNzd33uesFKVSibS0NFav6fF44HK5WK/NEqqExLlz5wxWq7WG1YEWYV00aAcAt9tdf+7cOcO3vvWtma5XXFgqfD4fERERrCeHpaeno7u7G5mZmaxdEwBiYmKQkJCAsbExZIXIkXmxehi1w3r87NYiZCQEO/6WG4ciEAiQn5+PvLw8mEwmaDQaNDc3w+FwgM/nQygUQiAQwGq1oqamBg6HA16vFyKRCBKJBEVFRSF7DM3HYk3hry+U4QvleXj2whAObU3BDTuDfUV9fX3Iy8tjvc4r4NuiLigoYPWak5OTrJYgBT7YTZqb71RXV+cB0Bz6VdywbkQFQMfc5Y/f5GS7kE1KSgomJiZYXX/HxcXBarVyUnFs+/btuHDhAlJTUwNumlGdFT99rwfXbJPg1n3BYraawDaGYRAfH4/4+PiZD5Xb7YbT6YTb7YbBYEBRURGEQuGq/zaLCcvxD21H3bAe3/9bK/bnJCI59oPHLRYLJiYmcOTIkVXNIRQGgwEikYh1seIijSBUqQeXywWTyWQnInZ3JhZh3Sx/iMjpcDhMc3dmEhISWF8CceFXYRgGWVlZkMvliz95mQiFQuTn56Ozs3PmHBHh+Kut4PMYPPLR3UFLDC4iZf1BeWKxGHw+H9HR0ayJ/UJLoUgBH0/cVgyzw43H/9k7c56I0NzcjF27dnGShT4yMsLJkooLf8rk5GSQM7mjowMRERHt87yEM9aNqAAAn89vamlpCTiXlJQEnU7H6jhJSUnQ6/WsB6z5RYWL3bvs7GzYbLaZnKBXakdRPajD/cd2IH3Osofr0HuuWEhYCmRx+MzVOfhj7Sjax31fMkNDQ0hISGB9KQH4vuX1en1QD+rV4nQ6Oal1G0qo6uvrvXq9/iyrAy2BdSUqarX6VF1dXYCz1i8AbMLj8SAWi1nfWhYKhRCLxazPF/BZQsXFxWhvb4d60oyfvNON8q3JuKM00M+yUQXFz0LCct/125AoEuKhtzpgNBohl8tx1VVXcTKP8fFxZGZmsm4BqVQqpKaGjiFaDaF2fs6dOzdpsVgusT7YIqwrUXG5XHWVlZUBax1/sBrb3/7p6emYmxnNBrm5uRgcHGT9uoAvy3rnzp14+LUamJ1uPHDTzoCbfqMLip/5hCU+OgLfv2E76oYn8du361BSUsJJJXoiwsjICLKzs1m/tkKhQHp6OqvXtNlsEAqFQeH5tbW1XlxmJy2wzkQFQHtDQ0NQuw4uAtakUumqM4FDkZSUBJfLxXrQnh+eKB7vDzlwNEeE7akfCMdmERQ/8wnLx0oykJfAx6sDXvCE7Ia5+1EqlUhMTGR9ieJyueBwOFivnavVaoOWaTabDUaj0UpE7BY8XgLrSlSIyOl2u4cGBgLryUgkElbqi8yGz+cjNjaWk/D0goIC9Pb2Lv7EFfDbigG4PIRbrxLB/3vabILiZ66wEBE62tvwjfI0aC0uPHdhiPUxiQj9/f2sbyMD3GVQhxKV06dPg4jeY32wJbCuRAUAJicnX3j99dcDFtNciAqw8kzgxUhJSYHNZmO9Kr7KaMdLl0bwsZJMfPjoAWg0GvT29m5KQfHjF5bq6mp0dHSAx+PhlsNFuGabBM9fHIHDzW7SqVqthlgsZj3ZD/D5adhe+hARTCZTUMj/K6+8oler1X9gdbAlsu5ExWq1vv7KK68E+FWioqLg8XhYLYQN+DKBNRoN603GGIbB9u3b0dU1fxToSvj12X54vYRvXFcAHo+H7du3o7e3FxkZGZtSUPxIJBLExsZCLpdj27ZtYBgGXzqShwmzA282s+cXIyL09vZyYqXYbDa4XC7Wkwj9OUSzfWvTjendAKpZHWyJrDtRISKFUqk0zfWhyGQy1pP2eDwepFLpsjKBl4pEIoHX62VtO1xltONPdaP4xIEsZCWJYDKZ0NLSgsOHD0On03HmHF5riAjt7e2IiIhASUnJTBTv4a0puCo1Dv9bNcSaX2xkZAQpKSnLighezrW5cPyG2k1qaGgAn8+vJ6LL1utnNutOVADA6XT+7d133w24U1JTUzn58Ofm5mJkhJvynTt37kRHRwcrN/2rjWNweQh3Hc0P8KEkJCSgtLQUk5OTaGtrY93qWkvcbjdqa2t9zeCLiiCTyWZ8LE6nE188nIdu1RSq+lcfyOhyuTA0NMSJleL1ejnJoAYAjUYzE5Hs529/+5tZoVA8x/pgS2RdiopOp/vzyy+/HHCniMVimM1m1nsXx8TEgGEY1v0fgC97OTk5edWiRUT4a70cZXlJSIzwBPlQ+Hw+SkpKEBkZOfNNvtExm824ePEiMjIysGPHjhnzfrbz9sYdKUiJjcQz51fvsO3p6cGWLVs46RWkVquRkpLC+vb31NQUIiMjg9IIXnvtNZvX632f1cGWwboUFQAtjY2N7tmlBBiG4WQJBAA5OTkYHh5m/bqAL8t4aGhoVUW864YnMayz4qadKfM6ZRmGwbZt25Cfn4+LFy9y4ti+HBARRkdHUV9fj6KiopAJmn5haayvxadKM1DZq0WveuVb+JOTkzAajSETNtlgeHiYk3B/hUIRZP2MjIzAarXKiYibmIYlsC5FhYiIx+OdraqqCjifmZnJyW5NamoqJiYmWHcEA77mYLt27UJLS8uKl0F/rZdDJORDYpMvussjk8lw9dVXo7+/Hy0tLZelVCRb2Gw21NbWQqfT4fDhw0hISJj3uX5hKWDU4PMYvN40vqIxPR4PWltbsWfPHk7yhwwGw0zJUTYhopBlGd544w2X0Wh8idXBlsm6FBUAUCgUL/7pT38K8NaKxeIZLzqb8Hi8mSprXCCRSBAdHY3R0dFlv9bicONkqwL7JED5wQNLujmjoqJw8OBBJCUloaqqCmNjY5zkI7GFx+PBwMAAampqkJeXh7179y4pM1gqlaK0uBDbE3l4r31l/rbu7m5kZWVx4pwFgN7eXmzbto316xqNRsTExAT9nl5++WWDxWJ5jfUBl8G6FRUAFe+8845r7oeBq9iSrKwsqFQqzr7Zd+7ciaGhIcwtmbkYr9YOwuby4q7rdy3r286fNV1eXo7JyUmcP3+ekwji1UBEkMvlOHfuHNxuN44cORLkdFwMqVSKDxdnYHDCis6x5eVcTUxMwGg0Ii8vb1mvWyomkwlut5uThMfR0dGg3SSDwQC5XG4mouV/e7HIuhUVInJ4PJ6qysrKgPNcLYF4PB6neTsCgQB79uxBQ0PDkp3NJpMJf7o0gNykaBy+amU7B0KhELt378b+/fsxNjY2Y7ms5S6R2+3G4OAgKisrYTKZUF5eju3bt6/YkfmxMt+OzbP/aFiyk9pms6GtrQ0lJSWcLHsA7qwUj8cDnU4XJMAvvfSS0263P8P6gMtk3YoKACiVyp8+/vjjAYEeUVFREAqFrNdYAXzlBRQKBWfWSkJCAnJycpbkXzGZTLhUW48BI3BdYeqqb3yRSISSkhLs378fJpMJlZWV6Ojo4LSK/myICDqdDs3NzTh//jw8Hg/Ky8uxc+fOVRe1So2PQnFWAjqNEQtW6ffj9XrR0NCAoqIi1tuO+pmamoLD4WC9GBPgi02RyWQB9wQR4Ze//KXRYDD8jvUBl8m6FhUAtXV1daa5AWR5eXmc7Nbw+Xzk5eWhr6+P9Wv7ycnJAZ/Px9DQ/Nug/jgUQWoBHG4vrs5nr6BPdHQ0CgsLcfToUSQmJqK7uxsVFRVob2+HVqtltdeSy+WCUqlES0sLKioqMDIygoyMDFx77bUoKChgdfv2hp0ydKotSMrMX1RY2trakJaWxnqhpNl0dnZyVpZheHg4qBVJQ0MDLBZLCxGxW31sBayncpJBEBGJxeJfP/fccw9/97vfnUkZlUgk6OzshMvlYj2uICcnB+fOnYPFYuHMebd7925cunQJ0dHRQd772YFtv7+kBI8BSvPZX5Pz+Xykp6cjPT0dbrcbOp0OSqUSnZ2dM5nhcXFxiI2NhUgkmomHmGsxERFcLhfsdjusVissFgtMJhOMRiP4fD6SkpKQkZGB3bt3B6Xms8mNO1Px6Hs9aFC5cWw6jiVUacr+/n54PB7k5+dzNheNRgMej8eJaBmNRggEgqB78+c///mkQqH4CesDrgBmPTnuQsEwTGJeXl7PwMCAZPYN7d+p2bJlC+tjTkxMYHBwEKWlpaxf24/T6UR1dTV2794948ibm21829PVsLs9ePPew5zNIxRutxtGoxFmsxlms3mm9u7sZeHsxlURERGIjIxETEwMYmJiEBcXh/j4eE5FJBTX/OwsdqSK8fSn90Gj0aCrqytAWORyOcbHx1FaWsrZ3LxeL86fP48DBw4ENUpng+bmZqSnpwf4U6amplBQUDCuVquziWjNQ6rXtaUCAEQ0mZ6efv706dMfvf7662fOZ2dno6qqCnl5eazfICkpKRgaGgqZUs4WQqEQpaWlqKmpwb59+0BEAYJic3rQJJ/EF8q52ZlYCIFAgOTk5AW/aSsqKnDttddevkktgV3p8Wgd90UhzC2mbTQaMTw8jKuvvppTsRseHoZMJuNEUBwOBwwGA4qLiwPO//73v3c4HI5frwdBAda/TwUAoFQqH/zv//7vgLViREQEpFIpJ9XbAN8WcGdnJ6e7JNHR0SgpKUFtbS1qa2sDAtsaRibh8hAObuFu3b/Z2Jkhhlxvg9Hqs6j8AXLnz59HR0cHSktLOWnj4cfpdGJkZARbt4buELlaBgcHkZ+fH5SR/NRTT5kMBsNvORl0BWwIUSGitr6+vvH+/v6A81u2bFlyW9DlIhKJkJqayqnT1g8RgWGYAAGrGdKBz2NwIJd9f8pmZWe6r6ZIh/KDnUGv18vZlvFc2trasH37dk6Ey+VyQaVSBaUtvP322+R0Ot8nInZLI66CDSEqAKDVah989NFHg+qsxMfHc9IZEPBVcNNoNJxsXwMf+FDKyspQVlaGxsbGme6J/RozcpJFiI1c9yvUdcPOdF+tkk6Fb5tcoVCgr68PR44cwc6dO5e03bxS/BYz20WY/AwPDyM7Ozto6XbixIkJlUp1gpNBV8iGERW32/3Wm2++OTV3e3mxtqCrgcfjobi4GC0tLawvg+Y6ZWNjY1FWVoaWlhaoVCqM6q3ISmR/Xb6ZSYmNRKo4Cu3jRgwODmJoaAgHDx6EUChctMXqanA4HOjp6cHu3btZva4fl8uFsbGxoG3klpYWjI6ODhJRDycDr5ANIypE5DGbzQ8++OCDAdFaIpEI8fHxUKlUnIwrFouRlpbGas3Z+WrKikQiHDp0CIODgxiZMCMriZvCzpuZwvQ4NA5pYDAYcPDgwYCQAy6EhYjQ2tqKHTt2sN6Z0s/Q0BBycnKCllVf//rXdSqV6hucDLoKNoyoAIDFYnn+L3/5i25uF0AurRUA2Lp1KyYmJlhp7L5YkWqhUIgdxftgdnrBtxlYDUbb7DidTog9UxgzubG7qDhk2D/bwjI+Pg4+n89JLx/AZ6WMj48HWSnnzp1DX19fKxHVcjLwKthQokJEHr1ef9/3vve9gE93dHQ0UlJSOGk5CviS8/bu3YuWlpZV3YhLrXo/brADAPKkcbhw4QJn7T42ExMTE7hw4QLyMyTwEjDlmF+M2RIWk8mE/v5+zpY9gC9/KD8/P0AgiQj33nuvTqVSfZWzgVfBhhIVwOdbqaioGJ9bVLqgoAADAwOsV4bzExMT4ysM1Ni4IotoOW00RvW+ftL7r8pDcXExGhoaMDIysq4yjNcLXq8X3d3d6OnpwcGDB5Et823BG6wL18ZZrbC4XC40NjaipKSEk2pxAGC1WjExMRGUjfzGG294NRrN6fXmS/Gz4USFiEitVt/99a9/PSDPXSgUIjs7m7OaKICvAFJSUtKyq+Qvty+PfFpUspN9/qLDhw9Dr9ejrq5uVRXkNhsmkwkXL14EwzA4dOgQoqOjES/yfcANtsWTQlcqLESEpqYmFBQUsF4dfzadnZ0BpTQBX4byd7/7Xb1arf42ZwOvkg0nKgBARBc6Ojo6L10KbBObl5cHpVIJq9XK2djbtm2DyWRachHulTT60k45EB3BhzjK9wERCATYu3cvcnJyUFNTg8HBwSvaavF4POjs7ERLSwt27dqF7du3z3zw4qN9vzPjEkQFWJmw9Pf3QyQScVLI2s/ExATcbndQeYPnn3/eNTU19RciWlmpu8vAhhQVAFCpVF/92te+ppv94eLxeCgsLER7eztn4zIMg5KSEvT09CzainWlnQO9BPB5wQFbMpkMhw8fht1uR1VVFSeN4NczRASVSoXz5880TWVAAAAgAElEQVQjKioqZMnJBL+oWJdevmI5wqJUKqHRaFBYWLj8N7BEvF4vOjo6gnw1drsdDz74oEGj0fyIs8FZYMOKChG1KxSKqvfeey8ggEQqlYJhGM4C4gDfUuvAgQNoamqat5LbalqREgjzBYEKBAIUFhaiuLgYfX19qK2tvSIcuTqdDhcuXIBSqURZWVlQuLqfBJFvW3cxn8pcliIsOp0Ovb29nCYkAr4tZJlMFpSJ/Itf/MJus9l+TUSr34bkkA0rKgCgUqm+ed999+nnbrvu2rULXV1dnDltAZ/jdu/evairqwu6CVfb25gI4C0SWi4Wi1FWVoYtW7agtbUVTU1NnLQZWWv0ej0uXbqEgYEBFBcXY+/evQu2JBVH+WI5luJTmctCwmIymdDW1obS0lLOHLOAzzkrl8uD+g8ZDAb8/Oc/N+h0up9xNjhLbGhRIaKRycnJPzz22GMB3svo6Gjk5eWx3nZ0LgkJCSgsLERtbe2MgLHRLN1LhBCrn5AkJyfj0KFDSE9PR2trK2pqaqDVaje0z4WIoFAoUFVVhYGBAWzfvh2lpaVL+n3yGAYMA3i9K3v/oYTFZrOhsbER+/bt46THsh8iQktLC3bv3h0UY3PPPfcYLBbLD4mIO4chS2z4xBKtVnv8iSeeuPmWW27J3759+8z57OxsVFdXQ6/Xc1J42I9UKoXT6URdXR2uuuoqNDc3r7pZunc6wXCp+HsiyWQyGI1GDAwMoKurC5mZmcjIyAgqVLRe8X9LKxQKSCQSlJSULLuEgMXpBhEQF7Vya2J22YS9e/eiqakJRUVFnPerHh0dRUxMTFDJiXfffdd75syZlqmpqRc4nQBLbHhRISIHwzC33Xbbbf9obGxM8is8wzAoLi5GXV0dDh8+zGnKe2ZmJiwWCy5cuIDy8vJV33y+5c/KXhsfH4+SkhI4HA6MjY2hpqYGkZGRyMrKglQq5fT3sBKcTieUSiXGxsbAMAwyMzNx+PDhFS8xpuw+izEuanXvUyqVwuFw4Ny5cygpKeH0iwnwCerQ0BDKy8sDzhuNRtx1110TarX6dtog5uf6usNWCBE1SKXSlx599NG7fvjDH87YpzExMcjLy0N7ezv27NnD2fgmkwkKhQLbt29HR0cHysrKVrXu9lnuq0vXj4yMxJYtW7BlyxaYTCaMjY2hr68PERERkMlkkEqliI2NvWxlAfwQEYxGI9Rq9Uy3SZlMhpKSElaWFmaHT1RiVykqVqsVAwMD2LFjB/r6+pCcnMyZxeePeykqKgq6b+6++26DwWD4HhFxk9zGAZtCVADfMujJJ5+8+SMf+Uj+7ILD2dnZUKvVIbu5scFcH0pMTAwuXbqEsrKyFSeYJYoiYLA64fFSyK3l5SIWi2e2QG02G9RqNTo7O2G1WiESiZCQkIDExETEx8dDKBSyJjREBLvdDqPRiMnJSUxOTsLhcEAsFkMmk63qdzQfU3afg3Y1yx+z2Yz6+noUFxcjMTERcXFx89a8ZYP+/n4kJSUFWUPvvPOO9+zZs81ms3lNOw4ul00jKrOXQU1NTQHLoD179uDChQuIj49ntcxfKKdseno6+Hw+qqurUVpauqJv38xEEdxegmbKjrR4dh2D0dHRyM3NRW5uLogIVqsVBoMBGo0GfX19cLlcYBgGMTExEIlEEAqFEAqFiIiICBAct9sNvV4Pr9c7U7/W6XTC6XTCYrHMBCBGRkYiPj4eiYmJyMvL46wlhh/TKpc/BoMBTU1NKCkpQXy8r+jT3NKUbAqLXq+HWq3GoUOHguYxvey5Y6Mse/xsGlEBZpZBz//0pz+9+/77759RD6FQiKKiIjQ2NuLQoUOsxBgstMsjk8kQEeHrQbNnzx4kJiYu69oZiT4hGZu0sS4qs/GLR0xMTEB0qMfjgdVqDSh4bbPZ4HQ6Z+rKuFwuyOVy8Pn8GcGJjo5GfHw8cnNzER0dfdkLXwMf+FTEKxAVf1Gn0tLSoBgRLoTF6XSipaUFZWVlQb+ru+66y2A0Gr+zkZY9MxDRpjoACKVSaX9nZyfNpbe3l9ra2oLOLxej0Uhnzpwhk8m04PMsFgtVVFTQ2NjYsq7fr5minOMn6bVG+WqmySlnz55d6ymE5MWLQ5Rz/CSpjbYlv8br9VJPTw9dvHiRnE7ngs9Vq9VUUVFBdrt9VfP0er1UXV1NSqUy6LG33nrLI5PJTmO628VGOzZ0nEooiMip0Wg+ftttt+mdzsCoyq1bt85sW66U5cSh+IsuyeVydHd3Lzl2JCNh2lLRh5MHl0u3agpxUQJI4pZmSXg8HjQ2NsJuty/Jwc5W2YTu7m7Ex8cH1WHR6XS4++67J9Rq9SdpqTfMOmPTiQoAEFGTUql8/Etf+pJp9t/Fn7czODi4aN5OKFYS2BYREYGysjJ4PB7U1tYu6UaMiuAjJTYS44awqCyXDoUJO9PFS3I2m81mXLx4EUlJSSgqKlrycm21wjI+Pg6TyRTUwdDlcuHYsWOTer3+i0TEXZ4Jx2xKUQEAnU73yPvvv3/6l7/8pX32eYFAgP3796OpqWlZZQRWEynLMAx27tyJnJwcXLx4EVqtdtHXZCZGY2wyLCrLwe3xoltlmqmqvxByuRz19fXYtWsX8vKW31tppcJiMBjQ19cXsjH83XffbRocHHzKarWeXPaE1hGbVlSIiDQazR0nTpwYOH36dEDSYUxMDHbv3o26urol5QexEXoPAKmpqTh48CD6+vrQ1dW1YDHt3GQRetVTGzrc/nIzOGGB3eWdqaofCpfLhYaGBmi1WpSXly/biT6b5QqL1WpFU1MTDhw4ELTM+vWvf20/efJk5cTExP9b8YTWCZtWVADfNrNWq73+zjvvVA8ODgY8lpKSgvz8fNTX1y/44WZLUPxER0fj6quvBp/Px8WLF+fNMC7LT4ZmyoEB7eZLEuSKDoWvlcp8loq/5KRUKmWtYttShcXlcqGurg7FxcVBO0uVlZX00EMPDWk0mts2qh9lNptaVACAiFQqlermG2+8UTf3A5yZmYmkpCS0tLSEtAjYFhQ/DMNg27Zt2LVrF5qamtDV1RVU4Prw1hQAQFXfRKhLhAlB+7gJkQIetkgCP7ROpxNNTU3o7+/HgQMHkJWVxeq4iwmL359WUFAQFOA2PDyMO+64Q6XVaq8nInvQizcgm15UAF/8ilqt/tZHPvKRyblWSUFBASIiItDZ2RkgLFwJymwSEhJw+PBhCIVCnD9/PsDXkpUkQnaSCFX9ugWuEGY27eNGXJUmhoDvu62JCHK5fMY6KSsrC7IS2GI+YfF6vaivr0dGRkZQozGz2YwbbrhBp1QqbyEibvr3rgFXhKgAgNFofKm1tfXl48ePB5grfieq0+mc6e1zOQTFD4/Hw5YtW1BWVobBwUE0NDTMRKOWb01BzaAObs+66Lu9rjFaXWgcnURprs9HYjQaZ7LUDx8+jIyMDM7znOYKC03n9CQlJSE3NzfguV6vFx/72McMarX6e7QO22yshk0VUbsYWq32vhdeeGHP3r17D37yk5+cWVD7M5obGxvR1taGiYmJyyIos4mOjkZZWRnUajXq6uqQnJyMstx4/LF2FK3jRpRkr9yheCXwfocKLg/hum2JaGhogMPhwI4dO1bliF0J/sjb6upqxMbGIiYmJqjgEgDcf//95qampj8aDIbnLusELwNXjKUCAETk1Wq1N913332D77zzToATg8fjYevWrRgdHYVEIrmsgjIbmUyGo0ePIj4+HvyJATAAzvdo1mQuG4nXm8aQGsuHQ9GLrKwsHDp06LILih+JRAKhUIiJiYmQ29VPPvmk7dlnn63TarVfX4Ppcc4VJSoAQEQmrVZb/rnPfW7o1KlTM+sKk8mEpqammcLSPT09a7adyzAMsrKy8OHrr0FBShRerxtET08PZ83FNzIWiwXn65pxaUiPf7sqBUePHg2qQH858Xq9aGpqQmJiIvbu3YuampqAv9vTTz/t+PGPf9yo1Wo/RESbsv3kFScqAEBEOq1WW/6pT31q9Ny5czTbh+IvcmS1WoOct5cbHo+HT16djyGTF8MmQnV1NZqbm6+IQteL4e+D1NTUhBYdAy8Bd5Rvu+z1YWbj8XhQX1+PuLg47NixAzKZLMDH8vzzzzseeOCB1umdnk37DXFFigoA+GLjNOW33Xab4qWXXgrwofB4POzZswdEhObm5gXjWLjmY/syESPk4/0hO6655hqkpaWhra0Nly5dgkqlWtO5XW7cbjfkcjnOnz+PwcFBbN26FYcPH8b5ESu2SmNxVeraLFkBXxxKTU0NpFJpgA/F77x95JFH6Pjx491arfZfNsvW8XxcsaICAESkUKvVV584cWKsqakpwCTx7wrFxMQEFLa+3MRFReBj+zJxskUJncUJmUyGQ4cOobCwEBMTE6isrERraysmJyc3ZfQtEUGj0aChoQFVVVWwWCzYt28f9u/fj8TERCiNNtQO63FzUfqaWSk2mw3V1dXIyckJ2uUBgPfee8/59NNPt2s0miNEFLqny2ZirdOk18MBIF0qlQ7985//9FAI5HI5VVZWktVqDfUw5/SpfaUQfnm6N+gxj8dDKpWK6urq6OzZs9Td3U2Tk5Pk9Xo5nROXpQ88Hg9ptVpqa2uj06dPU3NzM+l0upDv6b/eaKf8H75NIxMWzuazEAaDgc6cOUMTExMhH3/66aftUqm0FkAMrYN7/XIcV9SW8nwQkYJhmLJPfvKTF55//vm8Y8eOBfRHyMzMRFRU1IqLLq2WrdJYHClIwcuXRvGVa7Yggv+Bgcnj8WYq6btcLqjVagwMDMBoNCIhIQEymWxmN2I9Y7PZoNFooFarYbFYkJSUNOOTmNuuws+4wYZXakbx8X2ZyE5mr6LfUlEqlejp6cGBAwcQGxsb9PhTTz1le/jhh5umfShXTHYoQ5vQZF4pDMMkSySSC08++WT+7DgWPxaLBfX19cjPz2c91HsxTnWq8aUX6/HrT5bgw0WL19olIhgMBqjVami1Wni9XiQkJMzUo42Li1vVcqGiogLXXnvtil7r9XphNBphMBgwOTkJk8kUUJB7qXP74WuteLVhHGe/d+1MDZrLARGht7cXer0e+/btCxJsIsJDDz1k/c1vflOr1WpvpE3slA1FWFTmwDCMWCKRvPWZz3ym5NFHH42dW2PD7XajsbERIpEIhYWFl61kosdLuO7xCkTweXj7G0cgFCxvXLfbDZPJNFOA2mw2IyIiYiZAy3+IRKIltfFYiqi4XC5YLJaAw2w2w+PxID4+fkbgxGLxsn+PwxMWXPdEJT59MAcP/vvOZb12NbhcLjQ1NSEmJgY7duwImrfVasXtt99uqKmp+btGo7mLiNbGGbeGhEUlBAzD8CQSyc+Lioo+/fe//z1xbiAcEWFgYAAqlWpFDa9WypluNb7wfD2+f+N23HPt1lVfz+l0wmw2B33w/TtKfD4/oOg1j8ebsSBGRkaQk5MDIoLH4wkofu1/vUAgCBAs/8FGdvC3/tyMd9uVOPe9f4FUzG0xbT8GgwHNzc0oKCgIqOnrZ2xsDDfccINeoVD85+Tk5G8uy6TWI2vt1FnuASALwFkAnQA6AHxz+vzPAHQDaAXwdwAJ0+dzAdgANE8fT8+61rUA6gE8GmossVj8mYKCgon+/n4KhU6nozNnzpBCoQj5OBd85cV62v6jd2hUx71j0u12k9VqJaPRSFqtllQq1czxj3/8Y+bniYkJMhqNZLPZyO12cz6vXpWJcn9wkn78dnAdYi7wer00MDBAlZWVNDU1FfI5Fy5c8Kanp6v4fP5hCr5nowDUAmiZvmcfmj5/L4B+AAQghQLvS+Ose/aBWY/dDqARwH1zx1kvx5pPYNkTBtIAlEz/HAegF0AhgH8DIJg+/1MAP6UPRKV9nmv9GUA0gMcBXDXPc/alpqYqTp06FXJnyOFwUE1NDTU1NZHL5Qr1FFZRGKxU+J/v0mefreF8h2ch1qrwtdvjpU/8z0Xa+cB7pDM7OB/PZrNRdXU1tba2ziuYzzzzjEMikfQAyKbQ9xADIHb65wgANQAOAtg7fX8OhxCVk/Nc63UAfAB/8l9zvR0bLk6FiJRE1Dj98xSALgAZRPQP+mD9eglA5hIux4PvW8KLeVoCElGDSqUqueOOOzqfeuop+/QfdgahUIgDBw4gKSkJVVVV0Ov1K3xnSyMtPhrf+j/bUNGjxXvtG697w2r59dl+XBrU479uLkRSDLc7WgqFAtXV1cjPzw/ZNN3tduOee+6Zuv/++yu1Wm0JEY2Gus609virbUVMH0RETUQ0vMxp+e9TwmrbWHLFWqvaag74VH4UgHjO+bcA3DnrORYATQAqARyZ9bwb4DMlH1/CWJFSqfS1O++80+BwhP6GNJvNdOHCBWptbeXUanG5PfShJ89R6cP/pCk799ZRKNbCUqkZ1FHeD07SN/7YyKmVZrPZqKamhurr62m+v7Ver6fy8nK9RCJ5BEtopQGfddEMwIxpK3rWY8MItlR08C2X3gWwc9Zjn52+l7+z2Jhrdaz5BFY8cSAWQAOAj845/3/h86n4ndCRAJKnf94HQD5XhJYxJpOcnHz/rl27dKH6ChH51t/Dw8N05swZUqlUIZ/DBo0jesr9wUm6+6V68ngu/zLocovKpMVBV//4FB199AyZbAv35lkpS/3bnT171pudna2JjY39OC3/HkqAzye4a9a5uaIixgfLpWMA+pY7zloeaz6BFU3aZz6+D+Dbc85/DkA1ANECr60AsH+V4++VSqX9J06csMy3zrZarVRXV0c1NTVksXDjVP39uQHKOX75HJazuZyi4vV66csv1NHW+9+mFvkkJ2NMTk7S+fPnqbW1dd6GYmazmb70pS8ZpyNkQ/pPlnIAeADAd2f9P0BUQjx/wcfX27HmE1jBH4QB8CKAJ+ecvxG+HSHJnPMSAPzpn/MBjANIYmEeQolE8vju3bt1XV1dNB8ajWYmfJ7tJZHX66X/fL2Nco6fpJeqh1m99mJcTlF5rmqQco6fpN+fG2D92na7nZqbm6mqqooMBsO8z6uoqPDm5ORoExISvr6U5Q4F34P+3choAOcB3DTr8bmWSuosS7sUviX+hulWuOYTWPaEgcPwOala8cGW2zH4tubkmLN1DOBj8G3jNcPnP7mZ5fmUSKXSgYcffnheq8Xj8VB/fz+dOXOGRkZGWPUHuNwe+vxztZT3g5N0pkvN2nUX43KJyl/qRin3Byfp88/VsrrMc7vd1NvbS2fOnCG5XD7v38RsNtOXv/xlo1QqrQOQQyu7R4qm/SCtANoxvUUM4BsAxgC4ASgAPDN9/t7pe7YFvk2HQysZd62ONZ/AZjgACFNSUp4oKiqa6O7upvlwOBzU3t5OFRUVpFAoWBMXs91Fx546R4X/+S61j8//bcsml0NUXqkZodwfnKQ7n7lEVgc78S8ej4eGhobozJkz1NfXt2BcTWVlpd86+cZGshTW+ljzCWymA8A+qVQ68Mgjj1gXulmtVis1NzdTZWUlKZVKVsRFZbTR1T8+RQdO/JPaxrgXFq5Fxd9o/bPP1pDNuXpB8Xg8NDIyQmfPnqWurq4FG7FbLBb6yle+YpRKpfUAcmkd3Fsb6VjzCWy2A0CkRCJ5sqCgQPv22297FhIMi8VCTU1NVFFRQXK5nDyekPF1S6ZHZaKrf3yKtv/oHTrZwm2UL5ei8uy0D+WLz9eS3bU6QXG5XDNLz46Ojnm3iIl8S6Jnn33WmZmZqUlISLgvbJ2s8DOw1hPYrAeAnNTU1NdLSkq01dXVtBA2m43a29tnTPKFvkUXQ2Oy00d/c4Fyjp+kx//Rw9l2Mxei4vZ46Reneinn+Em668U6crhWLrJWq5U6OzvpzJkz1Nvbu+Dv1Ov10uuvv+7ZsmWLViqV/oYNR/6VfIQTCjmGYZhdqampvy0sLCz81a9+lbRjx455n+tyuSCXyzE6OorExETk5uYiPn7xZuNzcbg9+NHf2/HXhjF8aFcqHr+tGCIhu6VzVlP6IBRyvRXf+WsLaof0+I896Xjs48UBdWOWAhFBp9NhaGgIdrsdubm5SE9Pn7ceCwBUVVXha1/72oRGo6lQqVTfIqKx1b6XK52wqFwmGIYpl8lkT19zzTWZjz32WMJC9ViICFqtFsPDw7Db7cjKykJmZuaysnuJCP9bNYQfv9OFq1LFePL2PdgmY6+GK1uiQkT4a/0YHnqrAwzD4L9uLsSt+zKXVevFZrNBLpdDoVAgPj4eubm5ixbSamtrw7333qvr7e1tU6lUXyWi7tW+lzA+wqJyGWEYhhEIBDclJyc/deuttyY/9NBD4uTk5AVf43A4IJfLMT4+jujoaGRkZEAmky2p5gkAnO3R4L4/NcPscOOO0ix86/ptSI6NXPV7YUNUNFN23P9aG051aXAwPwmPfbwYmYlLKyPhdDqhVCoxPj4Or9eLrKwspKenLyq8w8PD+Pa3vz158eLFUbVa/RUiqlnVmwgTRFhU1gCGYfgxMTGfjY2Nfeimm26KO378eHyoLnZzMZlMGB8fh1qtRkxMDFJTUyGTyRYtFam3OPGL03146dIIRBF8fO1ft+Jzh3IRFTH/smAxViMqZocbf66T41dn+mBxenD8xqvw+UO54PEWtk5sNhtUKhVUKhVcLhfS0tKQkZGxpHo2dXV1ePjhh/U1NTUTGo3mm16v930K3/ycEBaVNYRhGL5AILhJIpE8uHXr1swHHngg5brrrlvU9CciTE1NQalUQqPRgMfjQSKRQCKRICEhYd7X92vMeOSdLpzu1iArKRrfv+EqfGhX6kxD8+WwElFRGm14/sIwXqkdxZTdjbK8JJy4ZRcK5lmWeTwe6PV6aLVaTExMQCAQQCaTITU1dUmN1l0uF1577TXPiRMnJnU6XZtSqXwAwIWwmHBLWFTWCQzD7E5LS3sgKirqmnvuuUf8+c9/PnKxpZEfu92OiYkJaDQaGI1GiEQiJCUlISkpCQkJCUGOyqq+CZx4uxPdqikkxwhxbHcabipKw4HcpEWtBT/LEZUOhRHPnB/CWy0KeInwod1p+PKRfOzJSgh4nsvlwuTkJPR6PfR6PZxOJ5KSkiCRSJCSkrJkn9Lo6Ch++9vfWl588UWL2+1+VaPR/ITmKUsQhn3CorLOYBgmUSwWf14kEt27b9++uO985zsp11577ZIdl0QEq9U688E0GAwAALFYjPj4eIjFYsTFxYEviMCpLg3ealXgdJcadpcXqeIofLjIJzBFmQngLyAwC4nK2KQVdcN61A7pUTOkx6DWghghH584kI3Pl+ciMzEadrsdU1NTMJlMMBqNmJqaAp/PR2Ji4owgRkUtvUyky+XCm2++6X388cd1w8PD6snJyZ/Z7fa/0hVUxX69EBaVdQrjU5EDaWlpx3k83pFjx45F3H777QlHjhxZdo1Xj8cz8+E1mUwwm81wOp3g8/k+f4QgEs1aDyqHzKgeNsLlIQj5DLKSRMhLiUFucgxyp/+ViSNhc3lwoaYB2wp3weL0wOJww2x3o1NpQu2QHuMG3+c4NpKP4vQY7EmNxtFsIXhuB2w2G7xeL6KiohAXFzcjdrGxscsufm2xWHDq1Cm88sorunPnzrmJ6A21Wv0EEfUs60JhWCUsKhsAhmEiAVyTnp7+GY/H868lJSURd955Z/KHPvQhZjU9iNxuN6xWK2w228y/erMdl0amMDjpgMrshcbqhdpKcC2hu6pYyGB7Eg9XJUVgd2o0tkpEEEVHISoqCiKRCCKRCNHR0QvGjSyGQqHAm2++6X755ZcnBwYGrF6v96RGo/kDgFrapA3PNxphUdlgTFswRcnJyZ8QCoUfT01Njf/Upz4lvuWWWyK3bNnCyZheL0FlsmN4wgLtlB1RETwMdHfi6tISxEZGIDZKAFGEAOJoAeutR4kIra2tePXVV61/+ctfLFNTU0qz2fwHk8n0KhENsDpYGFYIi8oGh2GYdJFIdEtiYuJnBAJBfklJCXPNNdfEHzhwIGLPnj2ctQ9hO6LWz+TkJJqamlBTU2OvrKycam9vJwCtKpXqOY/H8y4RTbI+aBhWCYvKJoJhGCGAnUKh8IBUKr3O4/GUREZGxu/ZswdHjhxJKC0tjdizZ0/IFp3LhQ1R0ev1aGxs9AuIqauri/F4PBMMw9QolcrTRNQAoDe8rNlYhEVlk8MwTASAnQKBYL9MJrve6/XuEwqF8Tk5OZSTk8PPycmJys7OFqWnpzPp6elIS0uDRCJZ1O+xmKj4+zorFAoolUooFArvyMiIZWRkxDE6OuodHR2Fx+OZAFCjUqlmC8gSvDdh1jNhUbkCmRaadPh6KKUJhcKMxMTEAqFQmEtEGW63O4XP50dGRUXxJRKJNzo6GhEREUxERIT/X8ZsNscKhcIpl8tFbrcbLpeLzGYzo9VqGZfL5fZ4PHaBQKBhGGbMbrcP63S6Pq/XqwCg9B9hAdmchEUlzLxMi08KfB0JIgAIpo8I+HolueccNgAT4eXKlU1YVMKECcMqG65DYZgwYdY3YVEJEyYMq4RFJUyYMKwSFpUwYcKwSlhUwoQJwyphUQkTJgyrhEUlTJgwrBIWlTBhwrBKWFTCzMAwTBbDMGcZhulkGKaDYZhvTp//M8MwzdPHMMMwzbNe80OGYfoZhulhGOaGWedvZximkWGY+9bivYRZO9jtMBVmo+MG8B0iamQYJg5AA8Mw/ySiT/ifwDDM4wCM0z8XArgdwE74colOMQyzbTpM/3YABwD8gWGYWCIyX+43E2ZtCFsqYWYgIiURNU7/PAWgC0CG//HpAlG3Afjj9Kn/APAnInIQ0RCAfgCl/qf7Lzvr5zBXAGFRCRMShmFyAewFMLvZ1hEAaiLqm/5/BgD5rMfH8IEIvQagHkD9tECFuUIIL3/CBMEwTCyAVwHcR0SmWQ/dgQ+slAUhohcAvMDB9MKsc8KiEiaA6XIHr+XpTZwAAACzSURBVAL4AxG9Nuu8AMBHAeyb9fRxALObQmdOnwtzBRNe/oSZYdpn8r8AuojoiTkPXw+gm4jGZp17E8DtDMNEMgyTB6AAQO3lmW2Y9UrYUgkzm3IAnwbQNmvb+H4iege+3ZyApQ8RdTAM8xcAnfDtHH0tXKApTLhIU5gwYVglvPwJEyYMq4RFJUyYMKwSFpUwYcKwSlhUwoQJwyphUQkTJgyrhEUlTJgwrBIWlTBhwrDK/wfodBuAqFXwKwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "s-iJRSXT2btz" }, "source": [ "#### 2.2. Контурные графики\n", "\n", "Пусть мы хотим изучить поверхность $z=xy$. Вот её горизонтали." ] }, { "cell_type": "code", "metadata": { "id": "nUAqCsmu2btz", "colab": { "base_uri": "https://localhost:8080/", "height": 324 }, "outputId": "a79ff974-2221-41f9-9722-82beb273f76f" }, "source": [ "x = np.linspace(-1, 1, 50)\n", "y = x\n", "z = np.outer(x, y)\n", "\n", "plt.figure(figsize=(5,5))\n", "plt.contour(x, y, z)\n", "plt.show()" ], "execution_count": 19, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "dguOMIyu2btz" }, "source": [ "Что-то их маловато. Сделаем побольше и подпишем." ] }, { "cell_type": "code", "metadata": { "id": "Sx0s-ICY2btz", "colab": { "base_uri": "https://localhost:8080/", "height": 339 }, "outputId": "2dba1495-91ce-465f-b68b-55b036ce1581" }, "source": [ "plt.figure(figsize=(5,5))\n", "curves = plt.contour(x, y, z, np.linspace(-1, 1, 11))\n", "plt.clabel(curves)\n", "plt.title(r'$z=xy$', fontsize=20)\n", "plt.show()" ], "execution_count": 20, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "xXP64Ygo2btz" }, "source": [ "А здесь высота даётся цветом, как на физических географических картах. Функция `colorbar` показывает соответствие цветов и значений $z$." ] }, { "cell_type": "code", "metadata": { "id": "LG6PwIsm2bt0", "colab": { "base_uri": "https://localhost:8080/", "height": 324 }, "outputId": "e788ec4f-3900-4d34-f8ef-0e09ce5c2e92" }, "source": [ "plt.figure(figsize=(5,5))\n", "plt.contourf(x, y, z, np.linspace(-1, 1, 11))\n", "# plt.colorbar()\n", "plt.show()" ], "execution_count": 21, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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g65KmgecZxJfset8EHgUOAp+MiENF12RmVqcke6wRsR3YPnLss7nTvwJ+d8JtrwWuTbEOM7Mm8CevzMwSc1jNzBJzWM3MEnNYzcwSc1jNzBJzWM3MEnNYzcwSc1jNzBJzWM3MEnNYzcwSc1jNzBJzWM3MEnNYzcwSc1jNzBJzWM3MEnNYzcwSc1jNzBJzWM3MEnNYzcwSc1jNzBJzWM3MEnNYzcwSS/K/v67aoiWvMrXypcOO7dt7XE2rMTM7XCvDOo5Da2bzdfTecu63M2EdNRpacGzN+qysiI5TKKySTgBuAc4A/hH4aETsG7nOWuAvgOOBQ8C1EXFLdtlXgfcAL2ZXvzQi7i+yppl4qjXrjypDOqroi1dXAXdGxBrgzuz8qP3AxyPi14ENwP+QtDx3+R9FxNrsq7SojjO18qXXvsys3Y7ee/hXnYpuBWwE3pudvhG4B/h0/goR8Xju9B5JzwIrgBcKPnZSnmbN2qXueM6kaFhPiohnstN7gZNmurKk84ClwJO5w9dK+izZxBsRBwquKYl8aB1Zs/o1OaSjZg2rpDuAlWMuujp/JiJCUsxwPycDXwc2R8Sr2eHPMAjyUmArg2n3mgm33wJsAViy4vjZlp2Up1mzerQppnmzhjUi1k+6TNJPJZ0cEc9k4Xx2wvWOB74DXB0R9+buezjtHpD0FeAPZ1jHVgbx5eg1p0wMeBU8zZqVp60xzSv64tU2YHN2ejPw7dErSFoKfAv4WkTcOnLZydmvAi4CHi64nsr5xS+z4pryolMqRfdYrwO+Keky4J+AjwJIWgdcERGXZ8d+C3iTpEuz2w3fVvVXklYAAu4Hrii4ntp4ijWbn65EdJxCYY2I54D3jzm+A7g8O/0N4BsTbn9+kcdvKkfWbLwuxzSvs5+8aophZB1Y67O+BHXIYa2IA2t907eY5jmsFfM2gXVdn4M65LDWyFOsdYmD+jqHtQEcWGszB/VIDmuDOLDWJg7qZP5fszSQP3BgTdalN/KXxRNrQ3l6taZxTOfOYW04B9bq5qDOn7cCWsLbA1YHR3VhPLG2iKdXq4qDWown1hby9Gpl8QtTaTisLeV/rtBSc1DTcVhbznG1FBzVtLzH2gHee7WFclDL0cqJ9ejFL3POij11L6NxPL3afDiq5WllWIfOWbHHgR3huNpcOKqHO3bPIY7dcyjZ/XViKyAf1wd+dkqNK2mGqZUveVvAxnJQD5cypnmtnljH8RQ74MnVRjmqr0s9oY7qxMQ6zjCufZ5g/aKWDTmq5U2n43RuYh3lCdbTa9/1PaplT6fjdHZiHdX3fVjvu/ZTn6NadUzzOj+xjtPXKdaTa7/0Nap1TKijehnWIcfVuqqPUW1CUId6HVbo5/TquHZb36LapKAOFQqrpBMk3S7piezXqQnXOyTp/uxrW+74akk/kjQt6RZJS4usp4g+Bta6p09RbWJQh4pOrFcBd0bEGuDO7Pw4v4yItdnXhbnjnweuj4izgH3AZQXXU1hfAuuptXv6EtUmB3WoaFg3Ajdmp28ELprrDSUJOB+4dSG3L1sfAuu4dkcfotqGoA4VDetJEfFMdnovcNKE6x0laYekeyUN4/km4IWIOJid3wWcWnA9yTmu1nR9iWqbzPo+Vkl3ACvHXHR1/kxEhKSYcDenR8RuSWcCd0l6CHhxPguVtAXYAnDMymPmc9PCuv4pLr/Htb26HtW2BXVo1rBGxPpJl0n6qaSTI+IZSScDz064j93Zrzsl3QOcC/wNsFzS4mxqPQ3YPcM6tgJbAU5864mTAl6qLgfWcbUmaWtQh4puBWwDNmenNwPfHr2CpClJy7LTJwLvAh6NiADuBi6e6fZN1PXtAWuHrk6rbY8qFA/rdcAHJD0BrM/OI2mdpC9l13krsEPSAwxCel1EPJpd9mngU5KmGey5frngeirTxRe3vN/aHl2MaptenJpNoX8rICKeA94/5vgO4PLs9A+At024/U7gvCJrqNs5K/Z0amvAWwLN19WodknvP3mVgidXs4Xp0pSa57Am0sWtAWueLk2rXQzqkMOaWFfi6qm1eRzV9nBYS+C4mo3X1R/9RzmsJfHWgKXUhWm1D0EdclhL1va4emqtn6PaPg5rBdoeV7Mi+hZVcFgr0+a4emqtT5un1b7sp47TyrAeu+hA3UtYEMfV+qKvQR1qZVgB3r38cd69/PG6lzFvbY6rVaut02pbo3rMT36R7L5aG9Yhx7U6nlqr46hWK2VUoeC/FdAUw7h+/4U317ySuevyP0Fo/dTGqKYO6lDrJ9a8Nm4PtG169dRavjZOq22L6jE/+UVpUYWOhXXIcTWrThujWrZOhhXaN722Ka6eWsvTtmm1TVEte0rN62xYhxxXs3K0LapV6nxYwXEtg6fW9No0rbYlqlVOqXm9CCu0b2vArKnaFNW69CasQ22Iq6fW/mnLtOqozk3vwgrtmF7bElfrjzZEta4f/Uf1MqxDjqvZ3LQlqk3R67CC41qUtwOKa/o2gKM6f70PKziuZm3VlB/9RzmsmabvuzY5rp5aF87T6sI1MahDDuuIJsfVrEqO6sIVCqukEyTdLumJ7NepMdd5n6T7c1+/knRRdtlXJT2Vu2xtkfWk0tS4Nnlqtflr8rTqqBZTdGK9CrgzItYAd2bnDxMRd0fE2ohYC5wP7Af+LneVPxpeHhH3F1xPMo7r/Hg7oDsc1eKKhnUjcGN2+kbgolmufzHw3YjYX/BxK+G4mjVDU1+kmqRoWE+KiGey03uBk2a5/ibgppFj10p6UNL1kpYVXE9yTY1rE3lqnbumbgM0cVptU1CHZg2rpDskPTzma2P+ehERQMxwPycDbwNuyx3+DPAW4N8AJwCfnuH2WyTtkLTjpX2vzLbspJoYV0+tlpqjms6sYY2I9RHxr8Z8fRv4aRbMYTifneGuPgp8KyJeq2JEPBMDB4CvAOfNsI6tEbEuItYdN7Vkrr+/ZBxX6zJHNa2iWwHbgM3Z6c3At2e47iWMbAPkoiwG+7MPF1xPqRzX2Xk7YHZN3QZokjZHFYqH9TrgA5KeANZn55G0TtKXhleSdAawCvg/I7f/K0kPAQ8BJwL/teB6StfEuJoV0bRpte1RhYL/l9aIeA54/5jjO4DLc+f/ETh1zPXOL/L4dXn38scb9X+EPWfFHv/fXm1BHNVy+JNXC9S0j8A2aUvA2wGTeRtgsq5EFVoa1uPf8Ku6l2DWek2aVrsUVWhpWAHWHz1d9xKAZu25NmlqtWZzVMvV2rCC49pk3g44krcBjtSkqOqp3cnuq9VhBcd1lKdWm01TptWmRFVP7U4aVehAWGEQ1yYE1nG1pnNUD5c6qEOdCOuQ49os3g54nbcBXtf1qELHwgqO65CnVhvVhGm1D1GFDoYVHFczm6zsqEJHwwqOK3hqbYombAN4Wi3nRapJOhtWaEZc61Z3XL3PatCMqFap02GF+uNa99RqVve02reoQg/CCo5r3VOr1cdRrT6q0JOwguNq9WjC/mpd+hpV6FFYod9xrXNq9T5rPeqeVutUZ1ShZ2GF5nxKy6zL6pxW644q9DCsQ3XFta9Tq1Wrzmm171GFHoe1Tt5v7Yc+7q86qgO9DmudWwJ1xbWuqdX7rNXp495qk6IKPQ8r1P+ClllX1DWtNi2q4LAC/dtv9V5rd9U1rTqqh3NYM32Lq5Wrj/urVWtqVMFhPYy3BcrlfdZuqmNabXJUwWE9Qh1xrWNq9XZA99SxDeCojuewjtGXuJq1TRuiCgXDKul3JT0i6VVJ62a43gZJj0malnRV7vhqST/Kjt8iaWmR9aTUh20BT63lqGN/tS/TalsUnVgfBn4b+N6kK0haBHwB+BBwNnCJpLOziz8PXB8RZwH7gMsKriepquPqqdXawlsAMysU1oj4cUQ8NsvVzgOmI2JnRLwM3AxslCTgfODW7Ho3AhcVWU8XVB3XqqdWv4CVXh8+ENCmqEI1e6ynAk/nzu/Kjr0JeCEiDo4cb5Q+bAmYzUfV02rbogqweLYrSLoDWDnmoqsj4tvplzRxHVuALdnZA6tX7X24qseGGTfNTgT+Oe3j/d+F3rCEtSxIU9YBXsskXst4v5biTmYNa0SsL/gYu4FVufOnZceeA5ZLWpxNrcPjk9axFdgKIGlHREx8saxKXktz1wFeyyRey3iSdqS4nyq2Au4D1mTvAFgKbAK2RUQAdwMXZ9fbDFQ2AZuZlaXo260+ImkX8JvAdyTdlh0/RdJ2gGwavRK4Dfgx8M2IeCS7i08Dn5I0zWDP9ctF1mNm1gSzbgXMJCK+BXxrzPE9wIdz57cD28dcbyeDdw3M19YF3KYsXsuRmrIO8Fom8VrGS7IWDX4iNzOzVPyRVjOzxBob1qZ8XFbSCZJul/RE9uvUmOu8T9L9ua9fSboou+yrkp7KXbZ2IeuY61qy6x3KPd623PFkHyGe4/OyVtIPs+/jg5J+L3dZ4edl0vc+d/my7Pc5nf2+z8hd9pns+GOSPjjfx17AWj4l6dHsebhT0um5y8Z+v0pcy6WSfpZ7zMtzl23OvqdPSNpc8jquz63hcUkv5C5L/ZzcIOlZSWPfpqmBP8vW+qCkt+cum/9zEhGN/ALeyuA9ZfcA6yZcZxHwJHAmsBR4ADg7u+ybwKbs9F8Cn1jgOv4UuCo7fRXw+VmufwLwPHB0dv6rwMWJnpM5rQX4+YTjSZ6Tua4FeDOwJjt9CvAMsDzF8zLT9z53nd8H/jI7vQm4JTt9dnb9ZcDq7H4WlbyW9+X+THxiuJaZvl8lruVS4H9O+LO7M/t1Kjs9VdY6Rq7/B8ANZTwn2f39FvB24OEJl38Y+C4g4J3Aj4o8J42dWKM5H5fdmN1+rvdzMfDdiNi/wMdLuZbXJH5O5rSWiHg8Ip7ITu8BngVWFHjMvLHf+xnWeCvw/ux52AjcHBEHIuIpYJqFvYg657VExN25PxP3Mnjfdhnm8rxM8kHg9oh4PiL2AbcDGypaxyXATQt8rFlFxPcYDDyTbAS+FgP3MniP/cks8DlpbFjnqIqPy54UEc9kp/cCJ81y/U0c+Qfk2uzHi+slLVvgOuazlqMk7ZB073BLgvQfIZ7X8yLpPAaTy5O5w0Wel0nf+7HXyX7fLzJ4HuZy29RrybuMwXQ0NO77VfZafid77m+VNPwAT8rnZc73lW2LrAbuyh1O+ZzMxaT1Lug5KfR2q6LUnI/LTlxH/kxEhKSJb6PI/oZ7G4P37A59hkF4ljJ4K8engWtKXsvpEbFb0pnAXZIeYhCVeUn8vHwd2BwRr2aH5/W8dIWkjwHrgPfkDh/x/YqIJ8ffQxJ/C9wUEQck/UcGU/35JT7ebDYBt0ZE/l+Tqfo5SarWsEZzPi47cR2Sfirp5Ih4JgvEszOs56PAtyLildx9D6e6A5K+AvzhTL+hFGuJiN3Zrzsl3QOcC/wN83hOUq1F0vHAdxj8ZXlv7r7n9byMMel7P+46uyQtBt7I4M/GXG6bei1IWs/gL6X3RMSB4fEJ36+FRmTWtUTEc7mzX2KwXz687XtHbntPWevI2QR8cmSNKZ+TuZi03gU9J23fCqji47LbstvP5X6O2CfKojPc47yIwb9hu1CzrkXS1PDHakknAu8CHk38nMx1LUsZfIDkaxFx68hlRZ+Xsd/7GdZ4MXBX9jxsAzZp8K6B1cAa4O/n+fjzWoukc4EvAhdGxLO542O/XyWv5eTc2QsZfCISBj9pXZCtaQq4gMN/+kq6jmwtb2HwotAPc8dSPydzsQ34ePbugHcCL2Z/+S/sOUn5ylvKL+AjDPYzDgA/BW7Ljp8CbM9d78PA4wz+Nrs6d/xMBv+xTAN/DSxb4DreBNwJPAHcAZyQHV8HfCl3vTMY/O32hpHb3wU8xCAc3wCOLfCczLoW4N9mj/dA9utlqZ+TeazlY8ArwP25r7Wpnpdx33sG2wkXZqePyn6f09nv+8zcba/ObvcY8KEEf15nW8sd2Z/j4fOwbbbvV4lr+W/AI9lj3g28JXfb/5A9X9PAvy9zHdn5PwauG7ldGc/JTQzelfIKg65cBlwBXJFdLgb/IP+T2WOuy9123s+JP3llZpZY27cCzMwax2E1M0vMYTUzS8xhNTNLzGE1M0vMYTUzS8xhNTNLzBEQUAUAAAALSURBVGE1M0vs/wMNmAwZvjLXTAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "7lsWP87x2bt0" }, "source": [ "#### 2.3. Images (пиксельные картинки)\n", "\n", "Картинка задаётся массивом `z`: `z[i,j]` — это цвет пикселя `i,j`, массив из 3 элементов (`rgb`, числа от 0 до 1)." ] }, { "cell_type": "code", "metadata": { "id": "IjNWHLDF2bt0", "colab": { "base_uri": "https://localhost:8080/", "height": 269 }, "outputId": "783bb094-1a28-4d6f-84fa-6bbb99b6d08f" }, "source": [ "n = 256\n", "u = np.linspace(0, 1, n)\n", "x, y = np.meshgrid(u, u)\n", "z = np.zeros((n, n, 3))\n", "z[:, :, 0] = x\n", "z[:, :, 2] = y\n", "\n", "plt.figure()\n", "plt.imshow(z)\n", "plt.show()" ], "execution_count": 22, "outputs": [ { "output_type": "display_data", "data": { "image/png": "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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "GQBdUFO-2bt0" }, "source": [ "Можно загрузить картинку из файла.\n", "Это будет обычный `numpy.array`.\n", "Размерность картинки $280 \\times 280$.\n", "По последней координате цвета RGB и прозрачность." ] }, { "cell_type": "code", "metadata": { "id": "dGFh_aHu2bt0", "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "outputId": "20d193ba-150d-4a97-ab43-26783ee366b7" }, "source": [ "picture = plt.imread('python.png')\n", "print(type(picture), picture.shape)\n", "\n", "plt.imshow(picture)\n", "plt.axis('off')\n", "plt.show()" ], "execution_count": 23, "outputs": [ { "output_type": "stream", "text": [ " (2000, 2000, 4)\n" ], "name": "stdout" }, { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "Bh9PP3XY2bt1" }, "source": [ "#### 2.4. Трёхмерная линия\n", "\n", "Задаётся параметрически: $x=x(t)$, $y=y(t)$, $z=z(t)$." ] }, { "cell_type": "code", "metadata": { "id": "GifE8kM42bt1" }, "source": [ "t = np.linspace(0, 4 * np.pi, 100)\n", "x = np.cos(t)\n", "y = np.sin(t)\n", "z = t / (4 * np.pi)" ], "execution_count": 24, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "5MS8lmId2bt1", "colab": { "base_uri": "https://localhost:8080/", "height": 319 }, "outputId": "ffef2543-5806-4d44-e567-6b71db75153b" }, "source": [ "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.plot(x, y, z)\n", "plt.show()" ], "execution_count": 25, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "PsWPKXUo2bt1" }, "source": [ "К сожалению, inline трёхмерную картинку нельзя вертеть мышкой. Это можно делать с трёхмерными картинками в отдельных окнах. Но можно задать, с какой стороны мы смотрим." ] }, { "cell_type": "code", "metadata": { "id": "4XT5wdUm2bt1", "colab": { "base_uri": "https://localhost:8080/", "height": 319 }, "outputId": "1f6d708c-c04f-4408-a252-7a3519557351" }, "source": [ "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.elev, ax.azim = 45, 30\n", "ax.plot(x, y, z)\n", "plt.show()" ], "execution_count": 26, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "1yi853FF2bt2" }, "source": [ "#### 2.5. Поверхности\n", "\n", "Все поверхности параметрические: $x=x(u,v)$, $y=y(u,v)$, $z=z(u,v)$. Если мы хотим построить явную поверхность $z=z(x,y)$, то удобно создать массивы $x=u$ и $y=v$ функцией `meshgrid`." ] }, { "cell_type": "code", "metadata": { "id": "eAE-m1D42bt2", "colab": { "base_uri": "https://localhost:8080/", "height": 319 }, "outputId": "f329e967-24cf-4628-eb7f-a926114ff1bd" }, "source": [ "X = 10\n", "N = 50\n", "u = np.linspace(-X, X, N)\n", "x, y = np.meshgrid(u, u)\n", "r = np.sqrt(x ** 2 + y ** 2)\n", "z = np.sin(r) / r\n", "\n", "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.plot_surface(x, y, z, rstride=10, cstride=10)\n", "plt.show()" ], "execution_count": 27, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "5r2Cq8Zk2bt2" }, "source": [ "Есть много встроенных способов раскраски поверхностей. Так, в методе `gnuplot` цвет зависит от высоты $z$." ] }, { "cell_type": "code", "metadata": { "id": "ZQ8-rXp82bt2", "colab": { "base_uri": "https://localhost:8080/", "height": 319 }, "outputId": "810f4285-4b7e-4cc6-d107-0b0536d2a01f" }, "source": [ "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.plot_surface(x, y, z, rstride=1, cstride=1, cmap='gnuplot')\n", "plt.show()" ], "execution_count": 28, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "OOfguzeZ2bt2" }, "source": [ "Построим бублик — параметрическую поверхность с параметрами $\\theta$, $\\varphi$." ] }, { "cell_type": "code", "metadata": { "id": "XxEy0_sI2bt3", "colab": { "base_uri": "https://localhost:8080/", "height": 319 }, "outputId": "855f5a01-5cf9-4816-b978-f6009ad3d329" }, "source": [ "t = np.linspace(0, 2 * np.pi, 50)\n", "th, ph = np.meshgrid(t, t)\n", "r = 0.2\n", "x, y, z = (1 + r * np.cos(ph)) * np.cos(th), (1 + r * np.cos(ph)) * np.sin(th), r * np.sin(ph)\n", "\n", "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.elev = 60\n", "ax.plot_surface(x, y, z, rstride=2, cstride=1)\n", "plt.show()" ], "execution_count": 29, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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\n", 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" ] }, "metadata": { "tags": [], "needs_background": "light" } } ] }, { "cell_type": "markdown", "metadata": { "id": "hgPgFxxF2bt3" }, "source": [ "---\n", "\n", "При подготовке использованы материалы https://inp.nsk.su/~grozin/python/" ] } ] }