{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "V5j9Sp-_AuBY" }, "source": [ "# Введение в анализ данных" ] }, { "cell_type": "markdown", "metadata": { "id": "LNNx55q2Ay5I" }, "source": [ "В данном ноутбуке мы быстро повторим основы библиотек Python для анализа данных. Если вы захотите более подробно разобраться в каком-то их разделов, смотрите Питон-ноутбуки и видеолекции на нашем сайте в разделе Python для анализа данных." ] }, { "cell_type": "markdown", "metadata": { "id": "52VfdBf3ETQW" }, "source": [ "## 1. Anaconda" ] }, { "cell_type": "markdown", "metadata": { "id": "osO99cp7GFMw" }, "source": [ "Anaconda — это дистрибутив Python, в который встроен пакетный менеджер `conda`. Этот инструмент позволяет выделить отдельные окружения для ваших проектов, например, на Python или R. В каждом конкретном окружении будут свои версии языков программирования и библиотек. Это позволит не запутаться в том, какие версии библиотек у вас установлены, а таже даст вам возможность переносить окружения." ] }, { "cell_type": "markdown", "metadata": { "id": "9L7MAHbUFJwz" }, "source": [ "Установку можете произвести с официального сайта." ] }, { "cell_type": "markdown", "metadata": { "id": "jv_bpSS9FdhX" }, "source": [ "Пример создания окружения `mipt-stats`:\n", "\n", "```bash\n", "conda create -n mipt-stats python=3.7 r=3.6 --yes\n", "```\n", "\n", "Активация и деактивация:\n", "\n", "```bash\n", "conda activate mipt-stats\n", "conda deactivate\n", "```\n", "\n", "Чтобы поставить пакеты, используйте команду `conda install`:\n", "\n", "```bash\n", "conda install numpy\n", "```\n", "\n", "Чтобы понять, как работать с Anaconda оптимальнее, смотрите полную версию материала." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 1.1 Альтернативы\n", "\n", "* Если вы используете Linux-систему, то чаще проще обойтись без Anaconda, а использовать `pip`, например, \n", "```bash\n", "pip install numpy\n", "```\n", "В таком случае тоже можно настроить виртуальное окружение. Однако не стоит смешивать использование `pip` и `conda`!\n", "\n", "* Если вы не хотите ничего себе устанавливать, например, из-за малых мощностей, можно использовать Google Colab. Но в таком случае каждый раз придется заново настраивать окружение, кроме того, среда выполнения может отключаться при длительном простое." ] }, { "cell_type": "markdown", "metadata": { "id": "1WUoq9ltGHwb" }, "source": [ "## 2. Jupyter" ] }, { "cell_type": "markdown", "metadata": { "id": "QzniJnUqGMSi" }, "source": [ "Jupyter предоставляет веб-интерфейс для редактирования jupyter-ноутбуков. Это удобный инструмент для того, чтобы быстро писать код на Python (или других языках), проверять гипотезы, строить графики, делать интерактивные визуализации и делиться результатами с коллегами.\n", "\n", "Чтобы запустить интерфейс, поставьте в `conda` пакет `jupyter` и выполните в консоли команду\n", "\n", "```bash\n", "jupyter notebook\n", "```" ] }, { "cell_type": "markdown", "metadata": { "id": "MMglPXW_Gj-0" }, "source": [ "Jupyter-ноутбук состоит из ячеек с кодом, с markdown, а также с сырым текстом. Работать с ячейкой можно в двух режимах: Command Mode и Edit Mode. Чтобы переходить между ними, используйте `Esc` и `Enter`.\n", "\n", "В Edit Mode управление похоже на `vim`, справку по Command Mode можно посмотреть с помощью сочетания клавиш `Esc + H`." ] }, { "cell_type": "markdown", "metadata": { "id": "3EYLSznTH5mq" }, "source": [ "При написании кода, кроме функций языка программирования, можно пользоваться магией Юпитера, или jupyter magics. Это отдельный метаязык внутри jupyter, команды которого начинаются на `%`. Можете открыть список всех доступных команд:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:41:47.557680Z", "start_time": "2022-02-05T16:41:47.544562Z" }, "colab": { "base_uri": "https://localhost:8080/", "height": 159 }, "id": "EYq8SBvCEhXK", "outputId": "9e1ee45c-ef54-4f4d-9026-1cbc51ec4486" }, "outputs": [ { "data": { "application/json": { "cell": { "!": "OSMagics", "HTML": "Other", "SVG": "Other", "bash": "Other", "capture": "ExecutionMagics", "debug": "ExecutionMagics", "file": "Other", "html": "DisplayMagics", "javascript": "DisplayMagics", "js": "DisplayMagics", "latex": "DisplayMagics", "markdown": "DisplayMagics", "perl": "Other", "prun": "ExecutionMagics", "pypy": "Other", "python": "Other", "python2": "Other", "python3": "Other", "ruby": "Other", "script": "ScriptMagics", "sh": "Other", "svg": "DisplayMagics", "sx": "OSMagics", "system": "OSMagics", "time": "ExecutionMagics", "timeit": "ExecutionMagics", "writefile": "OSMagics" }, "line": { "alias": "OSMagics", "alias_magic": "BasicMagics", "autoawait": "AsyncMagics", "autocall": "AutoMagics", "automagic": "AutoMagics", "autosave": "KernelMagics", "bookmark": "OSMagics", "cat": "Other", "cd": "OSMagics", "clear": "KernelMagics", "colors": "BasicMagics", "conda": "PackagingMagics", "config": "ConfigMagics", "connect_info": "KernelMagics", "cp": "Other", "debug": "ExecutionMagics", "dhist": "OSMagics", "dirs": "OSMagics", "doctest_mode": "BasicMagics", "ed": "Other", "edit": "KernelMagics", "env": "OSMagics", "gui": "BasicMagics", "hist": "Other", "history": "HistoryMagics", "killbgscripts": "ScriptMagics", "ldir": "Other", "less": "KernelMagics", "lf": "Other", "lk": "Other", "ll": "Other", "load": "CodeMagics", "load_ext": "ExtensionMagics", "loadpy": "CodeMagics", "logoff": "LoggingMagics", "logon": "LoggingMagics", "logstart": "LoggingMagics", "logstate": "LoggingMagics", "logstop": "LoggingMagics", "ls": "Other", "lsmagic": "BasicMagics", "lx": "Other", "macro": "ExecutionMagics", "magic": "BasicMagics", "man": "KernelMagics", "matplotlib": "PylabMagics", "mkdir": "Other", "more": "KernelMagics", "mv": "Other", "notebook": "BasicMagics", "page": "BasicMagics", "pastebin": "CodeMagics", "pdb": "ExecutionMagics", "pdef": "NamespaceMagics", "pdoc": "NamespaceMagics", "pfile": "NamespaceMagics", "pinfo": "NamespaceMagics", "pinfo2": "NamespaceMagics", "pip": "PackagingMagics", "popd": "OSMagics", "pprint": "BasicMagics", "precision": "BasicMagics", "prun": "ExecutionMagics", "psearch": "NamespaceMagics", "psource": "NamespaceMagics", "pushd": "OSMagics", "pwd": "OSMagics", "pycat": "OSMagics", "pylab": "PylabMagics", "qtconsole": "KernelMagics", "quickref": "BasicMagics", "recall": "HistoryMagics", "rehashx": "OSMagics", "reload_ext": "ExtensionMagics", "rep": "Other", "rerun": "HistoryMagics", "reset": "NamespaceMagics", "reset_selective": "NamespaceMagics", "rm": "Other", "rmdir": "Other", "run": "ExecutionMagics", "save": "CodeMagics", "sc": "OSMagics", "set_env": "OSMagics", "store": "StoreMagics", "sx": "OSMagics", "system": "OSMagics", "tb": "ExecutionMagics", "time": "ExecutionMagics", "timeit": "ExecutionMagics", "unalias": "OSMagics", "unload_ext": "ExtensionMagics", "who": "NamespaceMagics", "who_ls": "NamespaceMagics", "whos": "NamespaceMagics", "xdel": "NamespaceMagics", "xmode": "BasicMagics" } }, "text/plain": [ "Available line magics:\n", "%alias %alias_magic %autoawait %autocall %automagic %autosave %bookmark %cat %cd %clear %colors %conda %config %connect_info %cp %debug %dhist %dirs %doctest_mode %ed %edit %env %gui %hist %history %killbgscripts %ldir %less %lf %lk %ll %load %load_ext %loadpy %logoff %logon %logstart %logstate %logstop %ls %lsmagic %lx %macro %magic %man %matplotlib %mkdir %more %mv %notebook %page %pastebin %pdb %pdef %pdoc %pfile %pinfo %pinfo2 %pip %popd %pprint %precision %prun %psearch %psource %pushd %pwd %pycat %pylab %qtconsole %quickref %recall %rehashx %reload_ext %rep %rerun %reset %reset_selective %rm %rmdir %run %save %sc %set_env %store %sx %system %tb %time %timeit %unalias %unload_ext %who %who_ls %whos %xdel %xmode\n", "\n", "Available cell magics:\n", "%%! %%HTML %%SVG %%bash %%capture %%debug %%file %%html %%javascript %%js %%latex %%markdown %%perl %%prun %%pypy %%python %%python2 %%python3 %%ruby %%script %%sh %%svg %%sx %%system %%time %%timeit %%writefile\n", "\n", "Automagic is ON, % prefix IS NOT needed for line magics." ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%lsmagic" ] }, { "cell_type": "markdown", "metadata": { "id": "6VoGJHYMIeBI" }, "source": [ "Есть magics, которые применяются к строке или всей клетке в целом. Чтобы посмотреть помощь по интересующей команде, можно вызвать help:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:42:44.653143Z", "start_time": "2022-02-05T16:42:44.647194Z" }, "id": "ttziyCHgIYo7" }, "outputs": [], "source": [ "?%lsmagic" ] }, { "cell_type": "markdown", "metadata": { "id": "PgZBhEH_JCmQ" }, "source": [ "Впоследствии увидим, как можно замерить производительность вашей программы при помощи `%%time`.\n", "\n", "Если хотите посмотреть подробный обзор jupyter magic, узнать о преимуществах Jupyter, узнать полезные сочетания клавиш и установить удобные плагины, обращайтесь к полным материалам по Jupyter." ] }, { "cell_type": "markdown", "metadata": { "id": "8jf-rT54JPJ0" }, "source": [ "## 3. NumPy\n", "\n", "В пакете NumPy представлены удобные функции для работы c $n$-мерными массивами. В нём имеются функции для поэлементных операций, а также для работы с массивами, как с математическими объектами, например, функции для линейной алгебры.\n", "\n", "Они реализованы на C++, поэтому гораздо эффективнее аналогичных реализаций на Python." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:43:59.932724Z", "start_time": "2022-02-05T16:43:59.929773Z" }, "id": "ebOBsACXKTMh" }, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "markdown", "metadata": { "id": "JPsVV55aKLWm" }, "source": [ "### 3.1 Основы" ] }, { "cell_type": "markdown", "metadata": { "id": "cHSb3tFxKkQc" }, "source": [ "Создавать массивы можно различными способами." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:44:04.916202Z", "start_time": "2022-02-05T16:44:04.904402Z" }, "id": "FDfKIAL2KFnI" }, "outputs": [], "source": [ "# Из списка\n", "a = np.array([0, 2, 1])\n", "\n", "# Из равномерной сетки\n", "grid = np.linspace(0, 1, 500)\n", "\n", "# Перечисление 0, 1, 2, 3, 4\n", "nat_grid = np.arange(5)\n", "\n", "# Заполненный нулями\n", "zeros = np.zeros((1, 2, 3))" ] }, { "cell_type": "markdown", "metadata": { "id": "inw-Bm6ZK9x9" }, "source": [ "У массивов можно узнать их размерность, форму и число элементов" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:44:59.892403Z", "start_time": "2022-02-05T16:44:59.883439Z" }, "colab": { "base_uri": "https://localhost:8080/" }, "id": "AUQKm1cIK10f", "outputId": "47c8b223-3c0d-4e5c-c517-9e789083138b" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3 (1, 2, 3) 6\n" ] } ], "source": [ "print(zeros.ndim, zeros.shape, zeros.size)" ] }, { "cell_type": "markdown", "metadata": { "id": "mlyXWmXLLNuy" }, "source": [ "Индексация похожа на индексацию списков" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:45:10.554698Z", "start_time": "2022-02-05T16:45:10.528878Z" }, "colab": { "base_uri": "https://localhost:8080/" }, "id": "dAIIfCgMLJLe", "outputId": "9cdbf80a-4430-4f3d-b335-94c95e843bbb" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1]\n", "[0. 0.2004008 0.4008016 0.6012024 0.80160321]\n", "[[[0. 0.]\n", " [0. 0.]]]\n" ] } ], "source": [ "print(a[2:1:-1])\n", "print(grid[::100])\n", "print(zeros[:, :2, :2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.2 Соединение массивов и их форма" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Из одномерного массива можно сделать двумерный, указав необходимую форму." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:45:29.675721Z", "start_time": "2022-02-05T16:45:29.657395Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[0, 1, 2],\n", " [3, 4, 5]])" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = np.arange(6).reshape((2, 3))\n", "A" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Два массива можно склеить горизонтально" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:46:00.620799Z", "start_time": "2022-02-05T16:46:00.606872Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[0., 1., 2., 0., 0., 0., 0., 0.],\n", " [3., 4., 5., 0., 0., 0., 0., 0.]])" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "B = np.zeros((2, 5))\n", "np.hstack([A, B])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "и вертикально" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:46:12.471976Z", "start_time": "2022-02-05T16:46:12.466361Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[0., 1., 2.],\n", " [3., 4., 5.],\n", " [0., 0., 0.]])" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "B = np.zeros((1, 3))\n", "np.vstack([A, B])" ] }, { "cell_type": "markdown", "metadata": { "id": "54Net2IZLt7j" }, "source": [ "### 3.3 Операции над массивами" ] }, { "cell_type": "markdown", "metadata": { "id": "nCwAns45L5SZ" }, "source": [ "Обычные арифметические операции работают поэлементно." ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:46:35.485486Z", "start_time": "2022-02-05T16:46:35.479878Z" }, "id": "9vUmMvdgL9Jt" }, "outputs": [], "source": [ "a = np.array([1, 2, 3])\n", "b = np.array([3, 4, 5])" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:46:38.235095Z", "start_time": "2022-02-05T16:46:38.229734Z" }, "colab": { "base_uri": "https://localhost:8080/" }, "id": "8KGU9AvaMEQu", "outputId": "d9bd71bd-29f0-4945-ed53-ee9a00c021d2" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 3 8 15]\n" ] } ], "source": [ "print(a * b)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:46:40.647454Z", "start_time": "2022-02-05T16:46:40.641171Z" }, "colab": { "base_uri": "https://localhost:8080/" }, "id": "SfXEDQbvMFKg", "outputId": "d6b3f27a-017c-4c23-8f0b-bc6564c912ba" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.84147098 0.90929743 0.14112001]\n" ] } ], "source": [ "print(np.sin(a))" ] }, { "cell_type": "markdown", "metadata": { "id": "IaT4_734Mkoq" }, "source": [ "Двумерный массив можно умножить на одномерный, как матрицу на вектор. Операция `@` реализует матричное умножение" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:47:36.466334Z", "start_time": "2022-02-05T16:47:36.448471Z" }, "colab": { "base_uri": "https://localhost:8080/" }, "id": "lAWCzY6mMqIJ", "outputId": "1f75242e-6b9c-4123-86a4-f94323121b40" }, "outputs": [ { "data": { "text/plain": [ "array([3., 3.])" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = np.ones((2, 3))\n", "b = np.ones(3)\n", "A @ b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Транспонировать матрицу можно с помощью метода `T`" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:47:49.114052Z", "start_time": "2022-02-05T16:47:49.110645Z" } }, "outputs": [ { "data": { "text/plain": [ "(3, 2)" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A.T.shape" ] }, { "cell_type": "markdown", "metadata": { "id": "bI7CUDHzNQR4" }, "source": [ "### 3.4 Способы суммирования" ] }, { "cell_type": "markdown", "metadata": { "id": "yevRkb0XNYfU" }, "source": [ "Простое суммирование возвращает сумму всех элементов массива." ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:49:22.537701Z", "start_time": "2022-02-05T16:49:22.524608Z" }, "colab": { "base_uri": "https://localhost:8080/" }, "id": "cK6TaPJyMOye", "outputId": "45dabb1a-26b3-49e9-b6a4-a7fd6671ae56" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6\n", "6\n" ] } ], "source": [ "print(np.sum(a))\n", "print(a.sum())" ] }, { "cell_type": "markdown", "metadata": { "id": "dMCJmY_gMawi" }, "source": [ "С многомерными массивами суммирование может работать сложнее. Например, можно суммировать вдоль определённой оси и получать не одно число, а массив." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:49:30.511960Z", "start_time": "2022-02-05T16:49:30.504370Z" }, "colab": { "base_uri": "https://localhost:8080/" }, "id": "Pj87GqfMMVB7", "outputId": "d25b1ddb-00c2-4466-ccbb-bf09294de444" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[4 4 4]\n", "[3 3 3 3]\n" ] } ], "source": [ "a = np.ones((3, 4), dtype=int)\n", "print(a.sum(axis=1))\n", "print(a.sum(axis=0))" ] }, { "cell_type": "markdown", "metadata": { "id": "uMhhwXS2N3Lt" }, "source": [ "Для более продвинутых способов суммирования существуют, например, суммы Эйнштейна." ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:50:02.909430Z", "start_time": "2022-02-05T16:50:02.900231Z" }, "colab": { "base_uri": "https://localhost:8080/" }, "id": "bJ3A-iKoOpTa", "outputId": "3ea96c45-b5fe-460f-b987-e0f7a852310e" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 1 2]\n", "[[ 10 15 20]\n", " [100 150 200]]\n" ] } ], "source": [ "A = np.array([0, 1, 2])\n", "B = np.array([[10, 15, 20], [100, 150, 200]])\n", "print(A)\n", "print(B)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:50:05.312267Z", "start_time": "2022-02-05T16:50:05.301426Z" }, "colab": { "base_uri": "https://localhost:8080/" }, "id": "C3VAEvpXOp15", "outputId": "5d13cc20-8ccb-417c-a5d9-def6ad99778b" }, "outputs": [ { "data": { "text/plain": [ "array([ 55, 550])" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.einsum('i,ji->j', A, B)" ] }, { "cell_type": "markdown", "metadata": { "id": "BJFJ50rDO3wp" }, "source": [ "В данном случае индексы суммирования приводят к такому вычислению:\n", "\n", "* $c_0 = a_0 \\cdot b^0_0 + a_1 \\cdot b^1_0 + a_2 \\cdot b^2_0$. В нашем случае: $c_0 = 0 \\cdot 1 + 1 \\cdot 15 + 2 \\cdot 20$.\n", "* $c_1 = a_0 \\cdot b^0_1 + a_1 \\cdot b^1_1 + a_2 \\cdot b^2_1$. В нашем случае: $c_1 = 0 \\cdot 1 + 1 \\cdot 150 + 2 \\cdot 200$.\n", "\n", "Чтобы подробно разобраться в синтаксисе, посмотрите полный материал." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 3.5 Бродкастинг" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Broadcasting — процедура обработки массивов с различными формами во время арифметических операций. При соблюдении определенных ограничений меньший массив приводится к форме по большему массиву.\n", "\n", "Рассмотрим поэлементное умножение двух массивов одинаковой формы" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:50:59.730009Z", "start_time": "2022-02-05T16:50:59.718964Z" } }, "outputs": [ { "data": { "text/plain": [ "array([2., 4., 6.])" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = np.array([1.0, 2.0, 3.0])\n", "b = np.array([2.0, 2.0, 2.0])\n", "a * b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "А теперь массивы разной формы" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:51:25.747586Z", "start_time": "2022-02-05T16:51:25.738285Z" } }, "outputs": [ { "data": { "text/plain": [ "array([2., 4., 6.])" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = np.array([1.0, 2.0, 3.0])\n", "b = 2.0\n", "a * b" ] }, { "attachments": { "broadcasting_1.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Результат получился тем же, поскольку в данном случае произошло растяжение массива `b` до размеров массива `a` с помощью дублирования элементов массива `b`.\n", "\n", "![broadcasting_1.png](attachment:broadcasting_1.png)\n", "\n", "*Примечание.* Термин \"растяжение\" используется лишь для понимания. Операции реализуются более \"умным\" способом без лишнего копирования элементов.\n", "\n", "**Правило бродкастинга**\n", "\n", "При работе с двумя массивами numpy сравнивает их формы начиная с крайних правых размерностей. Два измерения совместимы, если\n", "* они равны или\n", "* одна из них равна 1.\n", "Если эти условия не выполняются, возникает `ValueError`.\n", "\n", "Посмотрим еще на пример" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:53:17.965576Z", "start_time": "2022-02-05T16:53:17.953483Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 1., 2., 3.],\n", " [11., 12., 13.],\n", " [21., 22., 23.],\n", " [31., 32., 33.]])" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = np.array([[ 0.0, 0.0, 0.0],\n", " [10.0, 10.0, 10.0],\n", " [20.0, 20.0, 20.0],\n", " [30.0, 30.0, 30.0]])\n", "b = np.array([1.0, 2.0, 3.0])\n", "a + b" ] }, { "attachments": { "broadcasting_2.png": { "image/png": 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" }, "broadcasting_3.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Растяжение в данном случае произошло следующим образом\n", "![broadcasting_2.png](attachment:broadcasting_2.png)\n", "\n", "А если размеры будут не совместимы, то произойдет ошибка\n", "![broadcasting_3.png](attachment:broadcasting_3.png)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:53:43.876928Z", "start_time": "2022-02-05T16:53:43.853864Z" } }, "outputs": [ { "ename": "ValueError", "evalue": "operands could not be broadcast together with shapes (4,3) (4,) ", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mb\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1.0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m2.0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m3.0\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m4.0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0ma\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mb\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (4,3) (4,) " ] } ], "source": [ "b = np.array([1.0, 2.0, 3.0, 4.0])\n", "a + b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Если массивы имеют несовместимый размер, можно их сначала привести к одной форме" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:54:28.104427Z", "start_time": "2022-02-05T16:54:28.093237Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 1., 2., 3.],\n", " [11., 12., 13.],\n", " [21., 22., 23.],\n", " [31., 32., 33.]])" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "a = np.array([0.0, 10.0, 20.0, 30.0])\n", "b = np.array([1.0, 2.0, 3.0])\n", "a.reshape((-1, 1)) + b" ] }, { "attachments": { "broadcasting_4.png": { "image/png": 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aaTabicFg6CsIggIANBoNq2loUOgNBlJbWwudTqc0Go0wmc2swWBQcBwHnU7HCoLAarVaQLzgrTfcq7nJMmh8w5WDa0WGzwH8S2Y5KNcuvyuVSte42NgET09Px5Z24DhORQhhbD4rBUFgFQqFWRAEhdFo5AghLMdxakEQCMdxvNlkYnlBcCSEmI1GI6vX62EymXidTsfU1tbyVVVV+sRTp3SnT5/Wa7VaBsCd/fv31/v6+Fzq6j/E8zzRaLXNlKWGhgae58VmnU7Hm0ymptfnDa6uriQ4KCijqzJY4XieaJvIYjabiVarFQDAaDQKer3eVpmJBBAOsTjwCXvIcK0pOb+MHDHC7eGHHzYNCQ93VqmkLWqsaWhASXGxYfUnn7it+eILZvjIkX3UarXtLg7dLIIagGtWVtaJkqKi+xiGMbm6u/t7eXmFXm1HSmXXDm1Bfj7Pmc0VPMMAhFDXXPvcAWD+Z59+enz+k0/e5OjoePnkFQQBgiBex4QQ8Jz4c3IcB0KIjuM4YvkrEELMHM8LRBB4juN4hUJh5jiOV7CsmeN5MwCDyWhkjCYTEQTBaDQaFQa9nnAcZ9RqtczzL77oV1NTM2LNl1/GevTtK7AKhZphGJbnOAMAqNVqFRiGYVlWBYARBMFkaVcDgLXdIjoRBMF2FtoMlmVZQgg4jjOZzGbThQsXLr733nu+DMM8+P22bZn+/v52VY5ZlhVs3Ma8IAiMIAhmnucFs9nM19fV1UZHR59Zt2GDGsArACbbc3zKdcVjAKZ8u3lz9MhRo25xdHSUZCLH8zw4joNepzMWFBTU/POll6oys7P5w4cOVXt7ewc33Z9hGKJQdEw0nudho5DxhBC9QAgj8Lx1sgSBED1nNoMX7yd6o8GQN+bGG8s4jht38M8/z0VERNzQxX/RRAgxNZHF2sZa2wghZo7jTGazWW8wGBpm3H//rpycnJu7OPY1zdw+ffqQI4cO1dXU1BCp4TiOHE9I0Ey6/fb6wwcPllVWVAiSC0EIKS0urkmIjf0rJiqKj4+L05lMJsllqKyoEOJiY6uijh4l0VFRxdHHjhnaP3y9GkcADTePH59eXFRUIvkBI4SYzWby5/79pwGQzd98E6fX6zmpZTAajfzBAwe+AcAvff/9M5qGBoPUMvA8T06fOnUcgB5AFoDf5DwxKNcsvgCMU6ZMOVNaUlIh9XlKCCEmk4ns2rnzDMuy5OiRIymCIP0jx2gw8L/9+uuvAITPP/00XqPRSP7AEQSBJJ48mciyrPnxxx5LhGgBHi/v6WF/vAEYv/z88/Kc7Gy91D8yIYSkpqRol77/fuHHq1dnZqSlaeWQoaGhgSTEx+dEHzsmxMXG1tdUV0sug9FgIHExMdroo0e5uJiYoriYmHqq5LRLgqOjo+FCUlKq5AfMQkpycoabm5thypQpyaWlpbLctNNTUxOUSmVp5LBhZQX5+QVyyJCbm1sQHh6eATH+6RVQJYfSMumurq51qSkpyXKcp4QQcv7s2RRnZ2fzB8uWZcqhXBBCSHJS0im1Wt0wfty4zCKZJmg52dm5QUFBRSNHjqw9kZBQCDsrOWz7u0hCzN3TpvHjx493GhwU1KJftDupqqwk+fn5xujoaOUtEyf2DwkLc5ZaBp7ncfHCBS1nMvVTsGy9n5+fsq+Hh9RiIDU1VSMIghEMo1colR7MtXOOXKu8CODmnTt2nBsSHh4hhwClpaXVr/7nP0pBEPjPPvmE6devn7fkMpSUVCxcuNDEsqz3tu++qwgIDAyQWgZNQ4P++23bUtPT00P37tlzfNiwYbIkLlCueVYACPvt11+TQ8PChskhQHFRUfmzCxd6hIeHa+c98YRLnz59pI3NAFBYUFDyxJNPKlmWVW3csMHs7+/vJ7UMdbW1mjVffllcUlLi9+0335R5eHrWSi2DFCzv37+/EBMVpdVppTegGA0GEhMVpbvhhhsMMVFR9fX19ZLLQAghqcnJ2riYmKKYqChT4okTGp7nJZehID/fHBcbWxpz7BgfHxvbUFtbS+JiY7XUktMqgwCYFyxYkFhVWVkn+QEjhOj1ev6bTZtOAhCOHD580hLfIykGg4Hf8fPP+wGQH77/PtFoNEpud+d5nsTFxCQwDMO//M9/xuReuqR9/PHHvwS15FAacyMA4b///W9sTXW1RurzlBBCtFqteeXKlecdHR35M6dOZcgkg+mrNWv2AyC//vJLgtFolFwGs9lMDh86lABA2PrddxeMRqOQmZFxAdeZu+pGhUIh7Nm1q7KkpET6uzMh5OyZM5on588v+3n79kv5+fmymAwrKyqE+NjYyuijR0lcTIxOo5H+2mtoaCCxMTEN0ceOCbExMSUlxcWcyWQi8TExOqrktEpe//79q7IyM7MlP2Dksi87SaVS8f99662TtbW1srhZz587d0qlUulnzpiRWl5WJr2PlRCSmZGR5ePjU+7v71+Sk52dqdVqyVtvvrkVVMmhXEEJoDo4KCjv0qVLuXKcpzzPk+ioqCSWZYXvtmy5KMeEwHLfOMmyrHnBU0+drqyokGWClpKcnOHu7q6Z9dBDeZUVFTWEENIdSo6crgglgIMvPP98XWhYmIOfn5/kKcqFBQVcenq6RqVSaUNDQ30CAwMlNxmaTCakp6XpOZ7vq1AqawYHB6v79OkjqQyCICA1OVlLeF7BsmyFu7u7i1///gqGYUCu3QUj5eYblmUDdu3cmR8UHNwsI0IK8nNzC+fOnesfEBBQsXDhQl93d3fJ3az5eXlFjz72mJuLi4uwfMUKhY+vr+Q+1uqqqrr333+/trq62nPvnj1lg4OCQpVKJXx8fd2kloVyTfO7QqFw2bljR/WgQYMGySFATnZ2zpxHHgmeOXNm4d133z1ArVZLfn/Ny83Ne/DBB/19fXzq33zrLVcvb2/Jr5Py8vKq115/nXNwcFAtXbrU7OXt3be7xpJTydk7YsQItzlz5qgjhg6VfD0cjUaDnOxs48qVK/vMe+KJfsMiI6XVLCykWWJgWMDo4uqqtHfKbUfIyszUc2ZzAwCFQqnsEx4R4QIADMOAEEJjcppjTRc/OXLUqEiWlf4nqqut1X+5Zk3tpdzcvjt37CgLHDhQ8pu2RqMx7dixIz05OTl0965dGaFhYWFSy2A2mxEbG5v03datN25cv/74iJEjhzMMA4VCAWdHRxqTQ7EyF8CULd9+mxAxbNgIppvXGGuJ6urquvfff18wGAyqD5YuNXbng7016urq9F99/XVJYVFR/927d+cFh4RIfs0ajUbhzwMHUg8cODB0+w8/ZIeGhYVILYMUiOnihw/Lki7O8zw5kZCguWPSpPrDBw+WVZSXy5IuXlhQYI6LiSmLiYri42JjdXL4RSsrKoT4mJiqqKNHSVxsbJVtRpclzsFI3VWNsKaLZxQXFhZLfsBI43TxLZs3HzfIkC7O8zxJiI1NYBiGf/fdd0/X19XJkhV5ISnpgrOzs37KlCnJpSUl5dZ2juPI+rVrj4C6qyg26eIlNueIlJhMJvLz9u2nGIYhRw4duiBHzCXHceToX38dByCsXr06TqPRSL7EAyGEnD516pxKpTK/9847aU1luF7cVd4ANi//4IOKwYMHq/v2lVyZRXZmpv7osWN10++9t2xgYKCLt4+P5Gq9TqdDXm6uSRAEH5Zl6yMiIhybLDzY7ZiMRtFVxnHuSqWyyM/Pz7lpRhexWemTAgD4y9HRUbVhwwau/4AB/eUQIDMjI3PWww8Pm37vvWlTp00LdZBoETNbcrKzs+6bOTMkLCys8uknn/R2dXOTPCuypLi4/IUXXnBWKpXC559+in5+fj7WbQzDQKlS0VW6KQAQ7ebmZvzk448d/WzOESlJS0lJeWLevFFL3n47bez48WFyWH9zsrIyH3zoocgbb7wx++HZswf16dOnuxe3bUZ+Xl7h3Ecf9R06dKh2wTPPuEghgxxKTvTUqVP5CePHOwUFB8uSLp6bl2c8cuSIYuLEiX4hQ4ZIHscgCAJSkpO1giAwYJg6Hx8ftaeXl+TKRGpqqoYABoZhdA5qtXvT42FxV1El5wovAphgSRcfKocA1nRxQgj5cNUq4tuvn5fUMlRXVdUvX768vra21vOH77+vCBg4cKDUMhgMBv6XvXuzY2Jjg/bs3p0W0iQV2OKyokoOZQWAIb/s2XMxbMgQWa7ZosLCkgXPPus5ePBg7YJnnnFxdXWVXLmoqqyse3vJEkGn06m+3bTJNCAgYIDUMmgaGgzr168vzcvL6/ftN9+UySGDFCz38/MToo8dkydd3GgkMdHRutGjRhmijx2ra2hokFwGQgjJzsrSx0RHV0QfO2Y6efy4LOni+Xl5ptiYmJKYY8f42OhoTWsZXTFRURx1VwGwpIs/s2DBqaqqql6bLm4ymcgfv/8eB4B8t2XLCYPBIPnJKwgCOXXixDmFQsEvefvtU/W1tbqW9tv23XfxoO6q3szldPHa2lp50sU1GuPyDz44p1Kp+MQTJ1LkkMHqKgNAft27N95kMkkenmFxlSUCaDOrrKenkI9hWZbftXNnWUlxsVnqH5kQQpLOnWt4ZsGCsh++/z49Py9PlnTxmupqEhcbWxd17BiJi4lpkEPRamhoIHGWdPG4mJji4jaOB1VyLpPn6+tblZ2VlSXlsbJiebCfVyqV/H/feutknUzp4hfPn7/o6Oiou+uuu2RbWTk3J6cgNDS0InLYsLL8NlZW3rZ1awKoktNbUQKoCgsLy7906VKelOenFZ7nSUx09DmWZYUN69eflmNCQAghSWfPpjg6OpqfnD//dFVlZa0cMqSnpaV7eHg02KaLt0RPjslRAjj84gsv1A0ZMsTZr39/yQuDFhUWcmmpqTqDwdAwNCKif+DAgZKni3Mch7SUFC3PcX2UCkVFQGCg2sVF2sQya7q4wPMKhmEqXFxd3frLcDx6GJsYhgnYu2dP9uCgIFkyAfJycwvmPPqo/+BBgyqfe+45XzcZ0sWLi4vLn3vhBUelUokvPv+clWNl5Ya6Ov2aNWvq8vPzPbZt21YR2MbKyqwcKTSUa4VflUql6/Yff6waNGiQ5O5UQEwXnzV7dsjtt92WN/2++wY6ODhIHh5SXFRUsfCFFzzd3d0bFi9e7Orp5eUutQyVFRW1S5YsIWqVSr106VJe6qwyqR5ueyIiItwfmTPHEB4RIXmqtk6rRXZmpmnp8uXOX335pfPQyEjJU9YBID0tTcPzPM8ABkcnJ8fAgQOljTRGo3RxT6VS6RIxdKjkD8sexu0Anlz+wQdRI0eOnCBHwGB9fb3u8y++qMnNzfU/npCQPHDQoJFSy6DT6bg9e/ZkxsXFTTx08ODJkNBQyc3JPM/jxIkTqR+uXn3Djz/8cHZYZOTotvZnFQq6/EHvZC6AaVs2b44dGhk5Qa508aVLl/J1dXWqzz//3NivX7/BUsug1+v5H3/6qfT4iRORcTEx54KCg7taXfyqMRmN5MiRI+k7d+0af+jgwdTQsDBZ4qK6m0ecnJzIkcOHa+QoOGlNF58yeXL9gX37csvLy2UxGRYXFfHxsbGVsVFRfHxsrFanazGMoFuxrS4eFxtbVVVV1e53YqOje7O7yhFAQ1hoaGp+fv6l7j9CzeE4jhzYv/8kAPLt5s0JclQX53meHE9IOM2yLP/yP/8ZV11dLUvtk5Tk5ExPT0/9rIceSmvL5G3l559+SgR1V/U2fAEY77vvvvNyuVNNJhPZ+fPPJwGQ33755bjZLH10hiAIJC42NollWeHj1atj5UoXP3f6dJJarTa/99576R2RoSe6q7wBfGtJF3eQo+BkTna2ISY6un7s2LGXBgcFefr4+Eg+u9PpdLiUk2Pged4TLFsdEhrq6OQk7TplJpMJ6enpet5sdlcqlUX9+vVz9vT0bPd7hBAJpLtmOaJQKFQ7d+7UBgYGDpZDgIz09MzZDz88YvLkyalTp00LdZQhXTz30qXcWbNmDezXr1/Fv/71r34eHh6uUstQWV5e/d9Fi1QMw5BlS5eyHTF5MyxL3VW9j+i+ffsaP1y1SiWHOxUAUpKTUx6fN2/Mk/NewVh8AAAgAElEQVTnn5l4yy1DlUrpowFysrPzH54zJ3j06NHZs2bPHixLunh+fuGjTzzhPXToUN2Cp5/uI4cMQPe7q6L+fued/MQJE5wHBwVJvvpoTXU1ci9dMn3/00/4es2awaFhYZLfnAVBQOrFixqe55VgmKq+7u6Ovv36Sa5opaakaAkhRoZlebVa3bej6fsMw/RWLecFABO/27Jlf3hExGQ5BCgvK6t65dVXlYIgkM8//RRy3LSrq6s1H61eXVNUXByYEB9/bnBQ0I1Sy2AyGoV9+/df+vXXX284dvTohZCwsA6561iq5PQ2ljMMM2TP7t1nQkJDJT9PAaCwsLDkmWef9XB2dm54++23XTy9vCQvmVBbW6tdtWqVubKyUrnv99+NAQEBoVLLoNFoDJs2bCjNzs6+IT42NntAQIDkKytLwbs+Pj5C9LFjraYndycmk4nExcRoR40apY/6668iuaqLZ2VmGmJjYspjoqKMCfHxGpNJ+qSugvx8c3xMTGlsVFSb6eItERcTY+6F7qpBAMy333770bLS0pJuPDStYjAY+E0bNx4HIBw+ePCEXOni+37/PR4A+fzTT4/IZfI+lZh4Ua1W8+//3/+d0zQ0dFiGXTt3ngZ1V/UWbgQgvP+//52Qa/VtrVZrXP7BB2cA8PGxscflWBrEbDaT3/buvQCA7N29O1aOAqCWdPFTDMNcdRHSnpRCPpxlWX7nzz+XFxcVyZMufv58w8LnnqtY+/XXp/Pz8mRJt622TRePja2q7kAMjL2xVhePiYoS4mNji4qKiq7qaRkXE2PqhUpOrlqtrsxISzvVXcelLQRBICePH09SqVT866+/flKuNT4uJCUlOzs760aPGnWuoKCgUA4Z8vLyikeMGFEVGRlZdrUyUCWn16AEUDU8MrKgrSUFuhNLdfEzLMsK//vf//6qr6+XPuiSEHIxKSndzc3N/Phjj53uSNxad5CWmprh6enZMHvWrPyrlaGnxOSwAP56fuHCuvDwcKf+/v6SOySLi4v59LQ0fUZGRtm4ceOCAwIDJc8gMpvNSEtJ0fEc56xk2cJ+vr6OHh2IgbEnttXFwTAVfVxc3K+2ACjDMOhlmbgbAQT+uX9/fFBIiCwm77zc3IK5jz3WP2DAgMoXX3jBx93dXfKMxOKiovIXXnjBwWw2ky1btpAAOVZI1WhMG9evr0lPT3ff9t13lXLIQOkR/KJWq123bt1a19aSAt1JTnZ29kOzZoUNHjw4a968ecGurq6Sh2eUlpZW/fvVV/uqVKqGd5YscZGjAGhleXn1osWLeZVSqX7//fdNcsggBb9GhIdz8bGxWjkKTmq1WhJ19KguNDS0IS4mpsxgkMXCTi6cP6+JPnasNjoqqv5EQkKDHKbL9LQ0nWVVY2N8XFynjkd8XJwxOiqqt1hybgcgPPXUUztqqmVIBSSE1NbU6F77z3/OK5VK7vTJk+cEQfrasVqt1rTmyy9jAAi/7N17SI5FzHieJ38dPnyeYRjy/bZtpztjdqeWnF7BXADk559+Oi6Ha4YQQqoqK2vnzp2bxrKs4eyZMyfkuGb1ej3/5RdfpDIMw8fHxZ2U43ljNBj4bVu3xrIsS44cPpzSGRl6grvqfkdHR+HwoUM1HUlPtjc8z5OTJ05opk6ZUrt39+7z5eXlsrjKiouKuLjY2PKY6Gg+JjpaI4ebyjZdPD42trKqsrJTV158bKwx+tgxo9wnlgQ4Aqh3d3e/kJuTc8Hex6MjmM1mcvDAgVMAyKaNG+N1Op2s6eIzZ878s0ymNNz0tLRsb29v/QMzZ6ZXVlR0SuGkSs51jzcA4+OPP57S2XOkq5hMJuHn7dtPQixz8odOp5PlmZMQH5+sUqmED1etir2auDV7csZaXfy99zI6G7/XHUqOvV1J37337rvlDmq1d052dn1OdvbVfp+AEKGzg/M8rzp95kxlWnr6mdCwMLi4uCRpNBqlQadz5gRByZvNahPHOQg834fneSee55Vms9kJAAghrCC6dZRMF/0zOq1WzQuCt8DzH6kdHG5MS00dJQiCKwABAKNQKEwQDyQAgGEYhYJlTbAdlmEUSqWS66wMeq3Wged5d6VCUejr6+vZ2QKgluyq3uCvOgxAffSvvwoCBw2aJocAmRkZmQ/Nnh152223pdx9991BTk5OsqWLOzs7l61YvjzQV4aMrsrKyppFixYpCSFkxfLljJe3t/RrT1B6AjsGDBhgeunFFz00Go1Oo9HopBagsqKi9ol588YA+OXGm246knvpEhiGUTOAIxjGmWVZnmEYwrKsIyGE4ThOpVAoOJZlCcMwjgAYs9ncoeewUqnkWno06XU68vhjjw0KHzIk+45Jk0IrRez8n7aNTqczP/Looz7Dhg3TLXj6aWe50sVbwp5KzliWZV2//fZbh2+//ZYDINk/aTKZYDSZCAC49Okz+IOlSwOqq6vN1dXVV9PNlbOn65W3HQCAVShe4rjLegpvGYMIHNdSSQkny9i2snT6NySAkgV4pVrdNygkpEsxSb0gJmcEgJtGjRr1KcswYzMzM4+yLNuXM5v7MECbv50gCGYiHlsAgOVGplQoFDzLsgLP8wIhxEwIYXiOUzEsyysUCt7aLggCI/C8WiCEfePNNwdwHIcP3n/fy2QyOeTn5dV2+39ug8lkEpYsWdKnoLDQMywsbEFJScmT9XV1SQ6Ojn0UCoUKgJJlWVjeAwAYlhVYey4zwDA4euRIw+49e0KP/vXX+ZCwsDZXNab0aiYUFRUpxt98s5zV5v0h3q8nR0ZGyrLUBEQrNAMg4KZx4+Ra8oN1dHRUx8fGZl1r6eL2VHJYQRCwevXqKicnJ1l+aK1WSx548MEB/v7+RNG1NTI6LT8hhAg8D4VSaULnLSBd+v0IIRB4nlOoVPUhoaE+XSlFwLJsb7Dk/B2AQ2lp6ZtTpslixAHP86isrISnpyeeePLJDq1h1B0UFBTAx8cH9fX13zw8Z06L+yiVSjg4dN8cJjc31+9fL79ccNNNNw2Vo4wGpefw0osvFowdO1ZyCw4AMADz+ptvDvXx9ta+8frreaSL9+3Osnv37giVSoXp06dftevEHjAA88GKFY4eHh6ewaGhkq/J0x52z3wKDw/Xh4SGBtu7346QnZmZzrIsWJZlx44fL3kBTgC4eOFCraa+3olhGIwaPdpRpZa8PBUu5eToy0pLTWAY2OMh0RtWA1QqldyhP/8s8/bxkUXByM7ONv/tttv8Dh44cMh/wADJa8wAgMFgUM6ZM8f9o48+qg4NDZXlsJeXlelG33CD7/jx4+v6uLgEyiEDpecwdepU/p57742UY+zamhpu5apVJHL4cPNDs2cPk3oVeyuVlZWcSqVinpg3T5bfQavRYP+BAwm5eXmeXQ316A6u2+rTKpUsOk6jFYKVSqUscth79sv0ktIOrm5ufH9/fy85xi4sLCwEAJVKxcklQ319PRiGgZOTE9/f399HDhl0Ol2dHONSKJTrE2oLprQNwwDXnnJOoVAoFEq7UCWH0iYMw/QKdxWFQqFQrj+okkNpE4aQXuOuolAoFMr1BVVyKK1iMhph5jiWuqsoFAqF0t0IPG/3hw1VciitkpqaquE4joCQ6zZAnXJ9otNqTZlZWYrQ0FC93LJQKJT20el03J69e+3+rKFKDqVFCgsKOK1WqwfDqAkhfPvfoFCuDQRBwLlz51JOnjw5ctFbb8mSjk+hUDqOIAhIPHkyc9HixUPs3TdVcijN0Gg0yMvLM/Ac5w1BqALDdLrURm9Bo9Ggrk7+7GebFbZ7rQyXcnLyZj/88GAHB4fK0NDQ1E52cyPaWe2acn3wv//9D/X19ZKOSQjBvn378Omnn2Lfvn3geenmkXq9Hlu3bsXatWtRUFAg2bhtkZOdnf/YY48FqdXq0/bumyo5lEYIgoDU5GStwPNKlmVrFEql9KsZ9kAeffRRbNy4UZaxeZ7HW2+9BU9PT/Tp0wd33nmnLDevTz75BJ6ennBzc8OTTz4JnU76hWirq6s1K1et0tTU1PR5+qmnznehq80AZFnUlCIdP/74I9577z1Jz1VCCGbOnIm5c+di165dmD17NmbNmiXJ2FqtFmPHjsWSJUuwadMmjBgxAomJiZKM3Rq1NTWaZR98AJ1eTw7s25dg7/6pkkNpRFZmpt5sNusAKBQKhTMDyFkXpkewdOlS/Prrr7KNv2bNGnzzzTfYtGkTjh07BoPBgGeffVZSGQ4cOIDFixfjq6++wpEjR3DixAm89957kspgNpsRFxubumHDhshtW7de8PT0lGVBQ0rPYNeuXXjqqackH/e3337D0aNHkZSUhJiYGJw8eRIHDhxATExMt4/9xRdfAABSU1ORmJiIxx57DP/973+7fdzW4DgORw4fzt2yZUvgz9u3p3t6etp9lfNrSsmpr6+HIMjvGTGZTHKLIAtVlZWksqLCwPO8j0KhMIcPHepIrsFluq8VTCYTnn76aaxatQoBAQGyyfH9999j0aJFmDlzJiZMmID169fjwIEDuMoCtV1i27ZtmD9/PubMmYMJEyZg0aJF2Lt3r2TjA0BaamrqnEceGTVv3rzUSZMmhcKmcCqFYsvWrVsxZ84cvP3225KPfeLECUydOhUDBw4EAAwbNgzjxo3DiRMnun1slmXx73//G9YSFHfddRcuXrzY7eO2Rkpyctq8J58cumTx4gvjxo2LYBjG7tfsNZE1U15ejhkzZuD48eMIDAzEH3/8gREjRkguh0ajufxwcHd3x7Rp0+Dm5iapDDqdDllZWWBZFkOGDIFaotpXJpMJ6enpep7n3RRKZdWgQYPcXFxc7FGR/bqloqICiYmJiI6OxmuvvSabHM899xxuu+22y599fX0BADU1NfD09JREhi+++AJGo/HyZ5PJBLPZLMnYAFBcVFS+8LnnXNzc3ExL3n7bwcPT0y03N1ey8Sk9Cy8vLyQkJCAgIEByRWfZsmXNJtIlJSVwcXHp9rHfeOONRp/j4+MRHCyPV7akuLj8+Rde8Bo4cGDNgmee8XR1c3MkhNjd8HJNKDmLFi2Cr68v8vLysGHDBtx///1IT0+HUimtePHx8fD29sbUqVNx/vx5HD58GA888IBk4xsMBuzZswdubm4wmUzIysrC9OnToVB0v8coLSVFQ3ieYxiGuLi4qAcEBKg4jgOhSk6r+Pr64syZM5Kfp01panL/7bff4O3tjUGDBkkmg4eHBwDxHE5MTMSyZcswf/58ScbW6XTczl27co+fPDk2OirqQnBIyEhJBqb0WO6++24AQGlpqSzj205ef//9d+Tk5ODee++VbPyEhAR8+umnOHLkCH7//XfJxrWi1+v5bVu3VicmJoYdT0hIDwgMHAYADMtef+vkmM1m7N69G8uXL8fAgQMvR7rHx8dLKofJZEJBQQHGjx8PFxcXjB8/HjU1NaitrZVMhszMTHh4eGD69OmYOXMmOI5DVlZWV7ok6MBqxYUFBZxGo9ELDOPGKhRsxNChroBY0gHUXdUqKpVKdgWnKcXFxVi0aBFeffVVWWT78MMPcdttt0Gv12Pu3LndPp4gCDh/9uzFV155ZeyqlSvPj7nhhqH0lKX0FPLz87FgwQIsWrRIUpd3VlYWCCHgeR5RUVF26ZMzm9GR5w0hBKcTE1PfWrQofPM335yPHD48wnrNdoclR3YlJz09HYDolwREn+GECROQmtrZzM/OUVlZCRcXl8u+SqVSCW9vb9TU1EgmQ15eHsLCwgCIv0NwcDAsxak7S7unnFarRX5enoEXBG8Fw2giIiIcrbMMhmHAAPSJ0UOoq6vD9OnTERkZ2cwsLRXPP/88ioqKMHXqVPz973+HVqvtVD+kg7F5l3Jy8h6eM2fw2BtvLJk7d66fs7OzqlMDUigSU1ZWhrvuugs33XQTlixZIunYjz/+OH7++Wfs2bMHixcvvvwc7goczxNC2tdyLuXk5D3y6KPB06dPz548eXKQg4PDZT2EvR4tOZWVlc3iBjw9PVFWViapHAaDAQ4ODo3aHBwcoNdLt2BqfX093N3dL3/u27dvpx8SAADS9jknCAKSL1zQ8DyvVDBMtW+/fkpPL69GJxl1V/UM9Ho97rvvvsuWUSlcnC3h7e0Nf39/rFmzBlVVVZ3OGBE6cLOsranRrPrwQ01FZWWfDRs31vX39/fr1GAUisTU19dj2rRp8PT0xM8//yybRXjSpEnw8/PDqVOnutwXL4Y3tBk4XFNT07Dsgw+g1WrZlStWEB9fXw/b7delJaeurg7Ozo3X3HJxcZHUggKI7qqmJ5pKpWoUTNndGAwGqFRXJqJqtRoGg6ErXbb5rMjKzNSbOU7PAAqlWu0QHBLS6EAwDEOVnB6AIAiYO3cuCgoKsH//fvTt21dyGb7//nskJSVd/uzk5AQvLy9UVFR0qj+hnTRLs9mMmOjolPXr10f+8P33FyKGDh3aqYEoFIkhhOCRRx6B2WzGH3/80ez5153cf//92LRpUyNZ9Hq9XWTgBQGEkFavW47jcOzo0ZzNmzcP3LljR3qo1W1hA9MNOonsSo6bm1uzhZi0Wq3kWU1qtbrZSq1ms1my7CZAPOFs4wkYhunSSphEtOW0uK2yooJUVlToBZ73YZVKc2RkpAvLNj4dLLJQJeca5+uvv0Z0dDQOHjyIAQMGyCLDtm3bsG7dusufL126hKKiInRW92jvvE9LSUmZM3fu6Hnz5qVNmjQp1HZyQKFcy2zfvh1//fUXtm7dCoZhUFNTg5qaGkm8BoGBgVi3bt3l7K4tW7bAYDBgwoQJXe6b53kiCEKrF27yhQtpjz/xxPAlixdfGDt2bHhL1ubuCDyWPWrSy8urWXBvbW0txowZI6kcjo6OzdL6TCZTMxdWd+Lg4NAo7dZkMsHR0bHzHRIitBSVYzQakZmeruMFwZ1VKCoHDhrk3keC9EWK/eE4DkuXLkX//v3x4YcfNtq2ePHiy2txdDcvvfQSHnjgAURERGDQoEF455138Pe//x033XRTp/ojgtCqCbKwoKDkuYULreniag9PT2lnRBRKF9i8eTMMBkOzZ9yiRYuwbNmybh17yZIlGD9+PEaPHo0BAwYgKioKX3zxBfz8uu7p5XkeBGjRklNYWFj67HPPeQ0cOLDemi7e0n7XZQr5oEGDUFtbi5ycHAQHB4MQgsTERPznP/+RVA43NzfU19fDaDTCwcEBgiCgqqoK3t7eksng5OQErVYLHx9xoVadTtdVM2KLlpzU5OQGQRA4EAJXFxeHgIAAOg3uIrfddhvCw8MlH7e0tPSy9eb06cZlX7oUz3WV3HPPPVi3bh1WrlyJ2tpa3HPPPfj444873R8BWlRytFqtafv27ZdOnDw5QeZ0cWcA0tetoNgVT09PHDp0SLL1pADg1VdfxYIFC5q1S+Fx9fX1xblz5/Djjz+ipqYGK1euxA032KeGLc/zLcbk6LRa05Zvv608e+7csPjY2PSAwMBW/9HuCDyWXclxd3fH5MmTsWzZMqxduxZbtmyBIAiYOHGipHK4uLjAy8sLZ8+exbhx45CUlARXV1dJ4xt8fHxQUFCAwYMHAwAKCgoQGNj5Va4ZQprF5OReumTS6XQagZB+SqXSEDFsmGt73XRagF7EO++8I8u4AQEBdgkatAfz58+329o4LcXkWNLFz73+xhs3r/7ww/NjbrghUoZ08f8AeANAPYBmMQWUnoVarcY//vEPScecMmWKpOM1xd3dHQsXLrR7v7yYXdXouhUEAadOnUp+5913R2/etClpxKhRI9q6Zq9LSw4g1t6ZPHkyXFxcoFarsX37djSND5GC22+/Hfv378fFixehUqkkPxmHDx+OvXv3wsnJCSaTCaWlpbj99ts73Z/AMI2UnLq6OhQXF+t5nvdTKBR1QyIi3KWMOaJQOgov3jEbxahlZ2Vlz5g5c8i4m24qnfPII3Kkiz8O4CMA2wBYi5U5W9ruBlAJYAWAnRLLRaHIDs/zzSYnWZmZOQ/NmhU+ffr0nGl33z3QNl28JdhumLVcE0pOUFAQUlNTkZGRgcDAQLi6tmdc6B48PT0xZ84c1NfXw9XVVfK0Pk9PT0ydOhVJSUlQKBS49957L6/b0ylsUsg5jkNqcrKG53m1gmWrfXx9nb2apIu31kvnBaBQOgfPcYKtklNZXl79zjvv1Gs0mkEbNm4s6e/vL0c21cMAfoeo7FhZDuB5ABsB1ALYDuAWAMcll45CkRGe58U4UAuVFRW1b7/9Nsxms2LF8uXN0sVb4rq15ADi4nvWBQHlRKFQXF6iXg78/f3h7+9vl74IIbxgUXLS09K0HM/Xs4C3UqVyCAkN7ZD2xLIs6UqGF4XSGcwcx1kVdKPRKBw9ejTpp+3bJ+3etetMxNCh9gkiuHq8AByz+XwDgBcA/AngWYgTglsBzARVcii9DLPZTARLTI7RaBT+/PPP9J27do0/+OefF8KGDOlQMcrrsqwDpfsQCDHyHCeUlJQIdXV1tUQQ/BmWNUUOH94sXbw1OrAmG4Vid7Q6ndGqXKenpZ199PHHJ14D6eIXAUwB4GR5bQHAAXgRVyyezqD3VUovRKvVEs6Sopxy8WLSk089dePbixdfGD9+fFhHFye9ri05lG7BXFdXxzc0NBgEnu+nUCgqBg4a1Pdq0sUZhqFaDkVyKsrKNBzHobi4uODhhx/28PLyuhbSxZcCSASQB1Gp8QXwOoBsAOEQrTojAchXkp5CkQm9Xk/MHGfOzc0teOTRR/1CQ0MbnnnmGY/W0sVb4rqNyaF0DwzDGGpralQMUAeAdXFxcQwIDLyqaTDDMLRGJ0VyiouLG6oqKw3fbNyYkZGZeec1Ul08D8AIAPMgKjgHLS8AeMXSvgjAIVmko1BkRtPQwGz7/vvynJycMQnx8W2mi7cE6QYrKFVyrmMEQShmGWYfAaZ2MF28OQxDHVYUyTl37lx5enp63PvLlt3x8UcfyZUu3hJlAFa10L4EwMsATC1so1B6BT/89NPXH61evfLbzZsvDB8xYvjVXrMMteRQrgaWZX1AyG0KhaJ2SHh4306lixMC0PpVFInJyMpquGvy5DHjx46VK128Je4E8DkALYBMiDE6yZbXJYgurO0AvgTQucqkFEoPZtWqVe/OmDEj5+677w5sL128JbqjdpXdlRytRqMsLSmptHe/HRpbp7PeCNnM9HRZViM16PWi/5EQXMrJ0bMsK7khpK6ujrXIcAvLMNU+Pj5OXt7enVJULDE5VMmhSM0jjo6Obhs3bSqTKV28Jd4A4A/gNwCDAUyFmHEFiIpPCoBRAHiIgckXARRLLmUvgmEYpmk5HqngOO7yfZEzm2HqYHCtvWEYBizLNitLJBXmKzUfPfr27SusWL6c60i6eEtc6+6qYAC4a8qUAXKZlQVB8DCbzSgoKACALhR96iIMA47n1eXl5W1WUu5mHAEQlVrtGBwa2qXaENeIm6DbcHR0dBIEgamprq40mUylcshQVVXVFwCMRmNZRnr6STlk4DnOUavVjqyoqDDIJYO2oYEFEAhgyPfbtp0Nj4iQtohd26RCLOUwz6bND8BwyysSopIzG8AjEOv4TAZwRFoxew3q1atXB//yyy+y3GcJIUxxSQlb39DQ97XXXpPtXn/u/HmlUqlEUlKSbDIci4q6mWEYZtfOnefDhgwZ1dl+rnV3VT0APDx7tsnJyUmWp2JDQwNZv2GDk6eXF1EqlfKc+ADhzWaWVSoFlmHkkgE8xzFKpVIbEhrq0tH0vRa5zhUcABg5fPi4xNOnFRNvvVWu9Vcup+qPnzBhvpxp+yqVCjMfeCCQYZjO1xPpIgzDYP68edo77rjjWqsu/koLbaWW12HL5xkA3oYYkDwcQIA0ovVKSHJKijE3L88olwA6na6vyWQSDh85Ui+XDLW1tX1ZliWlpaVyyuA0auRIZtSoURFded5c6+6qSgB4+eWXS4OCg4Ps2G+HuZSTk/nN5s1hfZydMTQyUpZ4o6zMzAa92axiGYYLHTJELcdNuqiw0FhdVaUDwxhZhaJL5cVZgFzvMTmRkZGn586de19EREShUqWSRcOoqalx0mm1vjW1tadCQ0N95JCBZVlFbXV1gKOzc42bm5ssN0yT0YiU1NSAESNGFHh4ekbIIUMbLIKYIm6NxbkAMRbHdrXMiQAMAAoB5EosX2/DvHHDhpLxN98sy/WiaWhgpk+fLkQOH17/8ccfq9RqtSyT2q3ffcer1Wo8PGeOLP4yo8HAvv7666fz8vOHqdTqrhV7vMYtOQDEGI4uWQ66MvaVMu9EysKatiiVyssOSnc3N6gdHCSXobKiwn4XG8Nc99Ycdzc3TWBgoBAeEYHBQUGD5JDh3NmzhQ319Rjt7l4xcvTom+SQob6+HmdOnYKHpyc3avRoWX6H7KysnNq6Ok6lUnHt7y05aQDGAHgMQCgABQA9xFgcq+JzEXS1Y8lgGEbw8fGRpQ6QynKvZxgGnp6efbpUgqdrcIQQRq7fQavR2M3NRBcDpEjPda7gUChXwW7LCxBj3kZArFN1J8R6VjUAVBAXCFwvh4AUSk/mWo/JoVyHMKAVOimUFjBAXP04EcCnEFc8/gHALojlHigUytVCLTkUqWFZltDlACmUdkkHMBeiS6sQwHfyikOh9Dy6o0AnVXIorcLzPMxmc3cHWIUAGGB5H4fGQZwUyrWIA0RXlTuAcoi1q3SWlwZAmHyiUSg9F0EQqCWHIh2ZGRk6nudBunfNoZctLwDoC7HOFoXSJcxmMwSeV3TD4mL/BfAWANtCoToA+wG8D3HdHOmzDSiUHo5Op+MOHjxYa+9+7a41Ua4PKisrSXVVlVEQBGeGYah1hdKjyMrMTNHqdMMZcYE+e/E8gA8A/AjgbwCGWdr3ABgC4AyAJwBU23HM7iYaQEkHXpvkEpBy/SMIApLOn0/617//Pd7efVNLDqUZJqMRmenpekEQ3MLTI64AACAASURBVAFUEELc2v0ShXKNUFJcXF5dXe3BMIwJYkq3vZgL4A8ACy2frRab7yAuBvg+xLpV8QDO23Hc7sQXovWpPTy7WxBK7yX30qXch2bNGigIQgmuhC/YBWrJoTQjNSVFywkCD4bRsgzTiaqevY/8/HwUFhbKNr7RaERGRgYuXryIykpZSseB4zikp6cjJSUFGo1GFhkMej1fVFBQKPC8HxhmG+y7fLQWV9biaooAcaXjLABz7DgmxY4kJSVh8ODBLW6bM2cO1q1b121jE0IwdepUJCQkNGo/ffo0pkyZgqCgIEybNg2JiYndMv6DDz6IQ4cONWpLSkrC5MmTERISgqeffhq1tXb3FrVLdXW1ZtWHH9YWFxd7hISETLV3/7IqOTzP45133mnWnpCQgLfeegtffvkljMbuX7Gb4zicOXOmWXtxcTFOnDiBtLQ0O98rr10K8vM5rVarByF9WIZxAMva29r3N4hxDdaX7cJ3rzTZ1iMW6dHpdIiOjkZ1tTxeioaGBuzYsQNnzpxBVlYWdu/ejYyMDEllMJvN2L17N86cOYOMjAzs3LkTFRUVkspACEFmRsZFvcEwxsnJKZtlWXsvKPgjgHsh1qZqUQQADehZk8eXAczqwGuVXALai8rKSsyZMwc839z7vnbtWmzfvr1bx1+xYgX+/PNPcFcKWqK0tBT/+Mc/MGDAAHz00Ufo06cP7r33XjQ0NNh17C+++AK7d++G2Wy+3FZTU4OpU6diwIAB+PDDD5GSkoLHH3/cruO2h9lsxomEhAvr1q0bve7rr+N3bN/+gr3HkNVdtXLlSqxduxb/93//d7nt2LFjuOeee/DAAw9g165diIqKwo4dO7pVjsTERBQWFuKGG66ULsrNzcXRo0cxePBgZGdno7KyErfeemu3jE8IwW+//YZx48bBz++K5TgtLQ2JiYngeR7jxo3DsGHD2uil62g0GhTk5xt4nvdWKJV1ISEh7jnZ2Zyd1yqfDHHG2xLvNvn8IYBrceXby2g0Guzfvx86nSxF7wEAp06dgpeXF6ZMmQKWZZGUlIQTJ04gLCxMsuKqFy9eBMuyePDBB6FQKBAbG4uTJ0/innvukWR8AMi9dCm/tq4uSKlSFXl4evqVlpbaW9n4DsB4AD8BuA3AfyztCgCDILqxRuNKIH1P4KDcAkjB2bNn8cgjj6Curg5K5ZXHHsdxeO+997B69Wp4eHSqcHa7mEwmLFmyBF9++WWjsQHgp59+QlBQEDZt2gSGYTBjxgyEhIRg7969dlE4OI7DsmXLsGLFCjg0WX3/119/hbOzMzZu3AiFQoGIiAhERkaipqam236LpqSlpiY/NHv2mFtvvfXi9BkzwirLy8vtPYYsMw5CCFatWtWiFeeTTz7Bu+++i61btyI2NhYHDhxAUlJSt8ghCAJOnjyJixebu+2TkpIwceJE3HHHHbj33nuRlpYGrVbbLXIkJiaitLRx8euamhrEx8fj1ltvxR133IGTJ0+iuLi4W8YHRKtaanKylhcENcuyVf369VN7enmBXOd1q7qC0WjEzp074e7ujn79+skmR0VFBcLDw8Gy4uU8ZMgQ6PV6u88G24JlWYwYMQLWki4BAQGoqamRbPy62lpteXm5gQGcvL29jf38/FzAMPZe/oAAeAGiJafApn0fxDpVzwF4BmJMTk/hXgCPduB1m1wC2oMVK1bglltuwZo1axq1Z2Vl4dtvv8W+ffsQFtY9mf9//PEHtm3bhsOHD6Np6YegoCD885//vDwZUSqVGDx4MEpKSuwy9rFjx/DVV1/hjz/+gJeXV6Ntd911F7Zt23b5mnVxEcscSuWyKi4qKn/++ecdGYYR1q1dq/Tz8/NjWNbumYmyWHI2bdqEzz77DF999RXefvvKpN5oNOLQoUP4/PPPAQD9+vXDpEmT8Ndff2HkyJF2lyMpKQk5OTmYMGECUlNTL7cbDAaUl5dj6lTRPejm5gZvb2+UlJQgNDTUbuMLgoCoqCgUFxdDrW4c+pKdnY3Q0FAEBYm1TocOHYr09HT4+/vbbfxG42Vl6c0mkwGA0sHBwTEoONhJEITuUHJK0TgYtD8A69WXgsYxD9e0j5AQgptvvhnh4eHYt2+fbHLMnj0bgnDlZ7NalZqeU93JqFGjGn0uLS2Fm5s08eocx+FSdnaW0WAY5ebunhIcEjLMYDBAwTCKbqqYuNPylwFwOwAnAEUAMgHIVhG7k3wEcbXm9tgLMROrR/LZZ5/Bz88Pv//+e6P2gIAApKWlXX7Adwfjxo1DWloaXF2bl5aaMWNGo891dXU4e/YsXnvtNbuMPXz4cKSnp6OlWo7+/v6Xnyc6nQ5LlizBmDFjWo1Zsic6nY7bu3dvRlx8/C2HDh48MSQ8/GYAYFnW7suVyKLkTJw4ESkpKcjKymrUXlZWBrPZjEGDrtQGDAkJ6TYLRmBgIIYPH97MiqLRaODg4NDoIeHm5mZ3S47BYIBer8eMGTPw22+/NdpWWlqK8PAr957+/ftffUBaB+OIqiorSUVFhZEQ4qlgWf3QyMg+LMuKcUj293essbysfIYr5v2J6EHr5Dg6OiIi4toolG214gCi8u7n5wdHx+5c3qhlSkpKcPHiRZSUlGDatGmSjJmVmZmh0WiGOjo4pIcEBwcpFAoxmIth7G2pdgLwIMQA5AzLq+mDfyLE6uTSmdEo7WIbBmBLdyo3VgYM6Hiy0Jtvvgk/Pz+7XTut/d+2xMXFYdKkSQCAw4cPd7uLWxAEXEhKOv/Pl1+e+Pprr538//buOz6qKu0D+O9OS++ESUISUkhICD3ACgJi1ADBwkoHFXUVdV0UZF33FX2tr6tiYd1d1rIqrgoo2EFEadJBOqT33vv0mXvP+8dNhgxJSJuZS8Lz/XzyCTN35p6TMJl57jnPc86ECRNGt07jcRxn95hEkiCns9ySmpqadtGuj48PioqKHNKPy4fvWhkMhnZXwSqVCgaDwa7tu7u7IyUlpdM+tJ1DdXV1hV6v71kDHCd0lTBtMhqRlZmpZ4LgLZPJaiOiovw8PDwunYK2r+pXsrOzkZOTg7lz50rSvkajgUwmgyAIKC0tRWBgoEPbq6ioqK2rq/MCxxnVISFuXj4+4nwAxwGM2Xu66k2Ia+W0MkMMdFp3H08D8B8AT6H/bNBZAaA7n/TSlOxdQzZs2ICNGzfi4MGD7XJ3HCk6OhoHDhzA1q1bMWfOHKSmptoMNNhbQX5+wbz584cODQ+vfvTRR9W+fn7ubQ4P7BWPGWM2V6SAeIXaNiPcWS6PZjmOs5kScDSj0QilUmm9rVQqe15pxhjrKshJT0vT8DzPAGg9vbxcQ0JCrB8MHMe1TldRkNMPFBUV4ddff8XUqVMxaNAgSfoQExODmJgYlJWVYceOHYiMjISPj0+PzyMIQpevOYPBIJSVlJTyFssoXz+/rPDwcOvQJ8dxYPbPyYmGmG+zAGKi8UiIiw2OBPAniGvOAOLo5EMQ18p5HFf3qM4MqTtAgM8//xyPP/44Nm3ahIkTJzq17aCgIAQFBWHy5MnYv38/Pvnkkw7zZe2htVy8oqIi7PjRoxfChw4d2/Y4N9CDnICAADQ1Ndnc19jY6PCrwcu5uLjAZDLZ3GcymTqc13QUpVJpU+rI87xN0NMdjDF2pSmrosJCs0ajMTDAXy6XG+Pi422y4loCPUo87gcqKiqwe/dujB8//qqYQgsJCYGbmxuqq6t7FeSwLoIcxhhyMjMztFrtKDd399TY2Nj4thcmHMeBE6ue7OmvEIObspavo5cdD4S4UedeALUQA6BXATxq536QAeSnn37Cfffdh/Xr12PBggVOazctLQ1ardYmqIqPj0dxcfEVntV7bcrFJ2/86KOjCaNGTWo3NWb/Kearaz2HwMBAWCwWVFZWWu8rKSlxWLJtZ9zc3GAwGGzWM9BqtWg7jeNorq6uNoGWyWRqVwLYFe4K01XNzc0oKS428oIwSC6TNcXFxblePkXXZiTHkQ4DeK/lq78lbV4VtFotdu3ahbi4OJtlEJzpp59+QkZGhs19Foulx4F5K9bF6GFRQUFJY0NDqFwmKw0LDw9ycXW1CWg4ALLLh4X77gzEBNzOVAP4HMDHEEdypoICHHIFlZWVuOuuu/D000/j0Ued+1LZvHkzVq9ebb3NGMP58+cRHR3tkPZaysXHzkxOTp+VkhLjetnfbEsf7L4h9FUV5Hh4eGDUqFHWDHidToe9e/daq5ycxdPTE25ubtYVbI1GI6qqqhAaGurUPtTW1lpv19TUwN+/Zyurc4x1GOTwPI+01FSNRRCUMpmspqVcXKoRmy8hri/yMAD7Jj1dI44cOQJfX18kJibCaDRav5y5gKWXlxfS09OtU7qtC2gOHjy4i2d27ErzrI0NDfryigoDA9wGDR6sU6vV7efmOA4OKCEHgCUAjkHcn8oMcUTnJ4jBjAeAlRC3fiCkS+vWrbPmX7722mvWrwMHHF/ItmTJEvz2229Yv349cnJysGbNGhQVFWH58uV2b6u1XFwul+Pv69ejw79ZAJwDRnKuqukqAHj66afx0EMPobS0FPv27UN8fDxGjRrl9H6MHTsWBw8eRF1dHYqKihAaGgp3d/eun2gnEREROHbsGEaOHAm5XI6MjIweX6ULnXxWZGVk6Cxms55jTKlycXGNjI523g9G7MpoNKKgoACMMXzyySc2x+68806n5eaMHz8e3377LbZt2wZ3d3dUVFRg6tSp7dYF6a7OcnIsFgvy8vKyTEbjGG8fn/PRw4Z1uLYEx3Hg7H9VOA/iSM12iAsCChCnqCYDeBviIpeLAfxq53aJnfj4+HT6eRIXF+fw1AhfX1+bpOLffvsNKpUK69ats3ncE088genT7bs0kY+Pj83I6ogRI/D555/j0UcfxerVqxEbG4vt27cjODjYru22LRffs3v3mWGxsVf6IBtYQU5QUBBWrlxpc9+iRYsgk8nwxRdfYPz48Vi7dq3D++Hl5WVTrg0ACQkJUCgUKCwsREhIiNOnASIjI5Gfn4/NmzeD4zio1WpERUX17CQdTFdVVlayuvp6HWNskFwu1yeMHOlp/1H9a8/UqVOdui5NK47jcNNNN3V4rKN1ORzFzc0N8+bNQ25uLoxGIyZPntxp9WJ3cBzXYZZ/TnZ2pk6jiXdxccmIjIqKbl3IrIPng4k5OfYczloBYCuARR0cGwJgA8SFAYcDkG4jM9KpadOmYdq0aR0eu/wiwREurxT+9VfnxcNpaWnt7ps/fz7mz5+PxsbGXuXOdaV1d/GVjz025Zlnnjk9cdKkEZ39zQIOmWKWNsgZMmQInn322Xb3L1iwwKkJWD4+Ph0uNjh8+PB2wY+jzJs3zybCb/3wqqmpgSAIvRr2FwTBZiTHoNcjLztbJwiCv1wurxk6dKhvN/KMKPG4GxzxBtEdKpWq58Gvg6hUKsTHx9vlXIL44rWpcqwoL6+uq6nxBmPGoOBgNx8fnyu+eFsqNdpvVNR7HDrPGyuFOIpTBOBeAC/bsV1CHMpR71+tu4sPGzas9oE//CHQy8vrikO7jLGBFeSQSzobBejLdAMHWEdyGGNITU1ttvC8IJPJNJ6enm5DQkO7kxVK5ePE6fjLghyDXs+XlJQU84Iwzs/fPz186NArbuTGcVzrCon2DHI+BbARwCmIC1pevq+aHkA9LpWSE3LNqqur06x74436ysrKsOPHjqWGDx3anW0LBnZ1FbEvBvCtQU5+Xp7BaDA0guO8ZHK5Ii4+vltLfcpkMgpyiNMJgsC3DdBzsrIu6nW6cW7u7qnRw4YN72pVVgeVkH8K4AWIiwIWwvb9cwKAdwHEANhn53YJ6VfMZjNOHDt2/t133x334QcfnExISBjZnZWUZTKZ3WcOKMgZwARBMPE8z+rr61FZUaHneT5ULpM1DR8+3K27+SPOrNAhpJXA86bWSq2C/Pz8poaGCLlMVhoaFqZ2c3PrMnhpCXIc8f72IoARAP4J233WXgdwD4D/BfCNA9olpN/ISE9Pnbdgwbjk5OT0mbNnR7u4ukoWa9B01cBm1ul05pLiYpPFYnHnZLKawWq1e0/KxTmOoyiHOJ1ep9PyFgu0Go2mqqrKyHOce2BAQFVQUFC313Fg9g9ybgCggriNw98uO7YIQAPEsnJCrlmt5eIymQzr336703JxZ6EgZ2AzVlVWqjiOqwXgr1IqXaN6WC7u6M3aCOmIVq/XGAwGFOTnpxsNholenp5nh8XGju36mSIHTVctwqW9q+og7leVCnFDztb9q+rs3CYh/YZOp+O/++67zMNHjkzd/csvJ2NiY527R0UHKMgZwBhjFXK5/HvG2G0yuVzXy3JxGskhTtfQ0NCQl5tbrNNqx7i6uqZFREdH92TTQk5cDNDeIzl/hDgtNbLlazSAmyAuZNl6NVAOMdhpGwCdBWC6/GSEDDT5eXn5f1q58vq/PPnkb4mJiQnO3Gi0M9L3gDiMjONcBcaSZTKZWC7u2a1cYxu0fxWRQmVlZYVWq7VwHGcMHDzYzc/Pr8eL/jiiHBVAQcvX9jb3BQG4D8DTAHYDcAMwG+LqxwoAEwGcdEBfCLlqNNTXC/Pmz/cNDw+vfuSRRwb7+vk5bx+kKxiQQQ7HcVxFebkkbZtNJusGU1VVVZAiktVptXKIuQEzOI7TeHl6uoaGhfVuEyHQlBVxvkkTJtwMIMLbxyctIjIyoTfnkDnvdVsBMUfnLMQKq/EQN+h0gZiknOesjlxrGGOyqoqKeina1mi1MgBejDFWU13d5KJS2XO5gm4TBMGbMQapfg8Go1HOGGPpGRkecrlccfzo0YtDIyLGSNGXjtjzEzgMAD766KMh7u7ukmy02NzcHHH9lCnQNDez3JwcaTZ7bFlKXhAERWFBgWQbTnIc5wUACpmMjxsxoi8RNWPXyEiOXqdT1dfXS5I4ajGblQDAAIVUfdDpdBwAhdlkkqwPRoPBRalUytSDB09xdXM7FxMT063S0444IPE4GkAzgKpOju+EuP/aQwBegbhw4Bk794Fcolp+772hHu7ueqk6UFFZKcvNy/M9euRIEySqVm5qbpZzHIc33nhDqgomVl1TMwmA4t1///vgiJEjJ19NF8b2DHIEAFj/97/LpfoBGWMwGo1YtWqVDECvRy761AcAuLR7tyM2COxePxjj5AqFPnLYMPc+bTcgJnAOaB7e3lMHDRqkKCsrCyorK5OkDxygVqpUOHv69C3nz5+XpA8AEDF0KJqbm/1On5RodoWxIYMDA2HheX1oWFiQm7t7X96j7P3S/QvErR2qIebatM29yQHgCsAfgNrO7ZJOTJo4URkbGyvJjIQgCPh80yZ4eXlxc++4w3l7qFzm5KlTUCmVGD16tGR92PbVV5yrq6slJSUlzs3N7aqaIbJnZ0oB4NDBg6WDBg2S5IesqakxTJ4yJdrP15dFREZKEtWWlpTojQaDm7uHhz5w8GBJhg/ramtZU1OTiuM4TqVS9W6HxBYyjmMQA7YBy6jXZ+n1elZbV1dypX1VHIm3WNzDwsIC0rOycgYFBLh0/QzHGDp0aFhlVVUjx3FNUrRvtliYn69vmJubW1lwcHB0X87lgP/LFwHsgjgFNRJAEsRqq7YXVHqIm3gSxzOtXLmyJHnmzD69TnqrsaGB37dvnzBy1Kim/3vlFV9XV1cpuoF3/v53i0ql4h5+5BFJ3rx0Wi2qq6uPFhQWxnt6eTl2h9NesHsw4u3tzYeFhw+193m7w2Q0ZgLi1ttDQru9nIZdVVdXG1qCHCEsPHyIFH3geb6oqcmOn1FX0dCjI1jM5iqtVstPnDhRHhYWFiJFH7KzssobGhqwbMmSvJjY2GQp+qDRaJCRloaEhAQ+JiYmTIo+FBYWFp0+fdrkbocpCGb/4LwUwNctX62UEKexogB4AjgC2pzTaRhjTKoKHrlcztAyWiiXyyXJv2zFGJOsfakuDLvrqhpWIlehAR7gtKVUKi2ubn0a+Oo9juNbv0vVB5PZ3NIF6fqgUCgu3w+qL5zx4jUDyGj5IoRcZWhbB3JFHCCmHhPS/1w7ETohpEMU5JArkslk7FoazSEDSndfuMHoXqGCJFN4hJDeoyCHdIoxBt5ikdFIDumPuO4HOWYAm3DlQGchgDl97hQhxKkoyCGdKiosNJl53sJa1v4hpL9o3cG8m2ogJg9/g44DnWUANgP4pe89I4R0xGw2IyMjw+5ry1GQQzqkaW5GSXGxmbdYPEA7kZN+Ji83N69Zq01gjI3s5lN+gDhS8y1sA51FAP4LcU+qXPv2khDSKjMjI23xkiWj7H1eyYMcs7nzhVWNRuctGHylK78eXhX2ezzPIzU1VcMYU8pksjoAkixXTkhv1NXWNlZXV/MQBBknk2V282k7IE5b3QhxRIeDGPRsbDn+vd07SggBAJSXlVU98sc/emq1WoO9zy1ZkLN+/XoMGjQIHh4euOWWW1BRUWE99vXXXyMwMBDu7u548MEHwfOO+4w9deoUNm7ciI8++gg///yzTWCVmZlpPXbo0CEwB+WmlJWV4cKFCygqKmp3rKKiAufOnYMzV+LNzsrSCWaziYnBjeSBcH8gCIJDX6eke8xmMysqLMwym0wxHMd9Asa6uz3FSYhbMrhBXOQvGuLif64AdKAgp99ramrCl19+iQ8//BCZmR3HvjzP47333nNI+4Ig4MSJE9i+fXuH7+cVFRXYsWMHjh8/fsWL/97IycnB999/jwsXLrQ7ptFo8PPPP+Pw4cOSXNDr9Xp+27ZthUeOHAl76YUX3rD3+SX5ANu3bx+ef/55fPbZZ8jIyIBKpcKjjz4KAGhoaMB9992H1157DWfOnMGhQ4ewfv16h/QjLy8PaWlpmDlzJhYsWACDwYATJ04AEP/jDx8+jBtuuAF33HEHCgsLkZ2dbfc+HDt2DLt370Z5eTl+/fVX7N+/33osOzsbO3fuRFlZGXbt2oXU1FS7t3+5mupqVldba+IFwU8uk3GcTCbJ9hj9zcGDB53y/9OZtLQ0fPXVV9i8eTP279/v1FHQVnl5edi2bRu2bNmCkydPSvKGmZ2VlabRasfJOe5nxnHnevBUAWLODYMY6LgCaN0PRQXgV/v2lDhTcXExRo0ahTVr1uCdd97BiBEj8OWXX7Z73D//+U8899xzdm9fr9cjKSkJ06dPx4MPPoiIiAh8/vmlhbG3bduG6OhoPPDAA7jhhhtw/fXXQ6fT2aXtF154AXFxcXjkkUcwbtw43HPPPdZjhYWFGDVqFJYuXYrZs2fjlltucep7B2MM58+evbBq9erEl1566VRKSspEe7chSZDz7bffYvny5Zg1axaioqLwxhtvYMeOHeB5Hjt27MDYsWNx//33Y/To0Xj22Wfx6aefOqQfBQUFSEhIQHBwMHx8fDBp0iQUFhZaj4WFhSEyMhKBgYEYM2aM3YMcjUaD1NRU3HHHHUhOTsadd96J/Px81NXVAQBOnz6NGTNmYPbs2bj55ptx8uRJh44WGI1GZGVm6nlB8Obk8prQsDCl7Graae0qlZWV1emVoTNkZ2fj+PHjiI2NxaRJk1BVVYVDhw45tQ+VlZXYt28fYmJiMHHiRGRmZuLcuZ7EGH1XUlxcXldXF8AYa3L39BwFQehpyffXALQt/277uj8KcbsG0k89++yziI2NRW5uLs6dO4cXXngBTzzxhE0gvmXLFjz55JMOaf/tt99GWVkZCgsLUV5ejhdeeAGrVq2CTqdDc3MzVqxYgZdffhnl5eXIy8tDdXU1/vWvf/W53bNnz+Lll1/G7t27UVpaiqNHj2Lr1q3Yu3cvAODJJ5/EyJEjUV5ejoKCAhQWFuLf//53n9vtroL8/MIFixZFJCQklC2/554ghVJpsncbkgQ5q1evxhNPPGG9zfM8BEEAYwyHDx/G1KlTrcemTp2KtLQ0h0wVTZgwAXFxcdbbjDHri76iogJBQUHWY0FBQaivt+9WVFqtFkOHDoWPjw8AwMPDA76+vqirq0NDQwP0ej2GDhV3yAgLC4NcLkd1dbVd+9BWRmpqsyAIAgc0eXt5uQeHhMgdsDT+gMEYw6lTp3Dw4EFItW8NAKSnp2Ps2LEYNWoUoqOjMWPGDOTm5sJksvv7RacyMzMRHR2NMWPGIDo6GomJicjJyXFa+zqt1lReVlYJQRjs7emZFRUdHSxXKPx6eJpdEEdxbE4NYJt9ekmkcujQITz44INo3ax4xYoVKC0ttaYIvP7661i+fDmWLVvmkPZ/+eUXPPDAA1Crxb1b//znP6OpqQkXLlzAqVOnYLFY8PjjjwMAQkJCsHz5cptR/d7as2cPpkyZghkzZgAAJk6ciFtuucV67vLycqxZswZKpRL+/v6YM2eOdTbD0RoaGjSvvf66prKy0vPT//63cUhoaKgjLqol2dYhIiLC5vaHH36IGTNmQKFQoLa2FlFRUdZjAQEBMJvNqK+vh7+/v1374e3tbXM7IyMDoS17XhkMBri4XNon0cXFBQaDAYwx2Ov/Qa1WW1/0AGCxWNDY2AhPT080NTXB29sbMtmlONTHxwdarbajU/VZUWGhWavXm5gg+CpVKuPw+Hh3juPAaNXYTul0OqSnp2PmzJlOH7VoKywszBoMA5de13q9Hn3agb4HRo8ebfN3oVAonBZkCYKAnOzsVIPBMNbVze1g1LBhk5QqFeQKhQ9v6dEuETUAsgDEt7lPAeAne/aXOF96errN7daLRQ8PDwAAx3E4cOAAGhoasHPnTru3v2XLFpu9pQwGAywWCxQKBaZMmYIzZ87YvNdrNBq77Am1YsUKLFy40Oa+tuc+ePCgzbH09HSMGDGiz+12xWKx4MjhwxnvvffehC+/+OJE/IgREwGAMWb3gRfJk0p37dqF9957D6+++ioAMSfH09PTetzDwwMymcw6heMoOTk5KCgowIQJEwAAJpMJSuWldBSlUglBEBz6xn32Q9Qk3gAAIABJREFU7Fm4u7tDrVbDYDDYtA8AKpUKen0PRs27OfrVLJaLGwWe95crFM2xcXHuKpVK/NCikZxOubq6YuHChdbAWCrjxo2zuQAoKyuDUqm0+TtyNF9fX+uIpEajwblz5xAZGemUtvNyc/OaGhtjZHJ5dlBwcLSXt7erXC6HjOO8enG6rQDaJiXUAHDekBRxCKVSafN+un79elx33XUIDBQ3zX7yySfxu9/9zmHtq9VqBAQEWG9/8MEHUKvVGD16NFQqFaKjL22krtFosHnzZiQn932fXi8vL4SFXZq1TU9Px4EDB9qde/fu3bjrrrtw8eJFrF69uldt8Tzf7c+czIyMjIWLFo2eP29ealJSUoxKpeIAQCaTDYyRnFbHjx/H/Pnz8Y9//APjx48HIP6ntE24MhgMEATBoW/YJSUlOHDgAJKSkqxXwUqlEpY2V4Gt/7488LCX/Px8nD9/Hrfddhs4joMgCDaRPSBebfQoJ4fjWFcvOp7nkZaaqhV4XiWTyWqCgoI8235gcuLlOa2T0wG5XH7V7cBrMplw4sQJxMfHS9K3c+fO4fjx43B3d8fYsWMd3l5tTU1DTXW1hTGmDPDzM4SFhcUCEP92OE4BoKcbfv4IoDUxg4e4bg4ZQL788kt88sknOHDggCTtnzt3Ds888ww2bNjQ7vOEMYaHHnoIvr6+uP/+++3ark6nw7JlyzB37lxMnjzZ5tjmzZtx8uRJ+Pr6ora21mZkuLssFgtj4mfFFQOV8vLy6scfe8zD1dXV+Le//U0VMGiQdVp5QI3kpKWlISUlBX/5y1/whz/8wXp/QEAAmpqarLcbGhrAcZxNFGxPVVVV+OWXX3DdddfZTKO5urrajNqYTCaoVKp2gYc9lJSUYN++fZgxY4b1yuLy9gFxTaGe5H5wgiB0lcuUnZWls7SUi6tcXNwjoqKsOQkcx4FycvoPnuexe/duKJVKTJxo9yKFbomMjMTcuXMxaNAg7Nixw6EVVmazmRUXFWWbTKZYTy+vk9ExMdaFxFqmznpzEfcbxPVyAHFEh0rHB5Ddu3fjnnvuwdtvv43rrrvO6e3n5uZi9uzZWLZsGe699952x5966in8+OOP+PLLL+Hu7m63dk0mE+bNmweDwYAPPvig3fEPP/wQ6enpmDZtGu6+++5etWGxWMAYu+IfvF6v57/5+uuivfv3h377zTdZUdHRMW2Pcw4YyZEkyGlubsacOXNw991349lnn7U5FhUVhZMnT1pvnzx5EgkJCQ4ZQdHr9fjpp58wZsyYdvOQXl5eNkm+1dXVGDRokN37UFNTYw2y2uYiubq6tpua0ul0cHO7PC+ycwxgVwpyWsvFBUHwVcjlQnxCgkfbIK7lg4KCnH6AMYa9e/eioaEBs2bNkmyEydvbG4MHD0ZSUhKamppQXl7usLZysrNTNRrNOBel8lT40KEJrUPegPjalQG9+SUIAHa3/FsFQJrLfWJ3v/32G37/+99jzZo11iVLnKm8vBzJyclITEzssILp1VdfxT/+8Q989913SEhIsFu7giDgnnvuwYULF/DTTz/Bz6/jfHyO4/DYY48hLS0NlZWVvWrnSkEOYwznzp5NfXzVqnEvvfjiqXHjxo1sN1vhgJhEkiDntddeg9lsRkpKCnbv3m39MplMmDt3Lvbt24djx45Br9fjrbfewp133umQfpw8eRKurq5Qq9UoLS21fgHiFWlBQQHq6+thMpmQmpraLmG6r3iex549ezBq1Kh2QZa/vz90Op21okuj0aC5uRnBwcHdb4DjOh3JMRqNyM7M1PGC4C2Xy2sioqJcWpPwLj2dRnL6i0OHDqG8vBwpKSm4/P/RGcrKymxGYFUqFdzc3ByWKF9SXFxeW1s7CIw1BwYF+QYMGuTb9jjHcQDH9fb97ZuW72dBpeMDQnl5OebMmYOlS5fi5Zdfdnr7RqMRKSkpGDJkCL788kubJGRATEz+3//9X2zZsgXTp0+3a9t//etfsXv3buzatQvh4eHW+5ubm3HTTTdZl00B0KeZCoHnGROETvMp8vPyChYuWhQaN3x4+fLly4M9PD1dLn+MI6arJMnJ+eabb1BaWoqZM2fa3F9VVYXhw4fjpZdewtSpU6FSqTBixAibcnN7ys/Ph8FgwI4dO2zuX7FiBdRqNRISErBt2zbIZDKo1WrEx8d3cqbeyc3NRWNjI+rq6rB7927r/fHx8RgyZAji4uKwZ88ejBw5Eunp6YiKiurRiBYTdXQ/0i5e1PCCwDiO03iK5eKS5meR3svNzUV2djZuu+02+Pr6dv0EBzh9+jQCAwOtyZt6vR46na5dBaM96LRaU3l5eQUYG+Pj63suMipqXEeP68MbZms11c+9fD65yjzxxBOIi4vDhg0b7FYd2xN/+9vfUFdXh/3797cbja+trcWjjz6K119/HXfccYdd2z1x4gTefvtt7Nmzp93okJeXF3Jzc/HZZ59h7dq1AID//ve/iI6Otqn67S6e5zsdyamrq9Ose+MNTUVFRegP335bGhoW1uEeVY6YrpLkg+3IkSMdztW3vkE/8cQTWLx4MWpra5GQkOCQPBgAWLRo0RWPT5w4EfHx8TCbzZ0O8fWFQqHoMHBq/XknT56MU6dOISsrC2q1GpMmTeppEx2O5BQWFJh0er0ePB+gcHExxMXHX2nyl0ZyrmKMMZw4cQLe3t7Iz89Hfn6+9VhCQoLTRnWGDx+OQ4cOQa1Ww9PTE8eOHUNAQECv3iyvpLVc3GgwjHV1cfktOiZmXGcfWlzvR3JqAFwAsKm3/SRXj/r6emzbts1ast3WqVOnrEUvjsIYw4YNG9DU1NSu4nDz5s3Izs5GXV0dnn/+ebz44ovWY+PGjcOePXv61Pa7774LQRAwd+5cm/vvu+8+vPnmm1i3bh2WLVuGnJwcNDY24scff8Q333zTydmujBdzctqN5JjNZnbk8OGz77777vVfbN78W1xCQucJgwNlJKe11PRKQkJCEBIS4tB+tF0HpzOOrOqKioqyycO5nFwu701gY9VRTk5jYyPKSksNAs8HylWqxtjhw32ctZbKQObj49OjfCl70el04DgOFosFeXl5NseGDRvmtCAnJiYGzc3N2LdvH3ieR0hICJKTk+1+1WwtF1co8kPDw8Pd3d2vNLTZl8ZfByDdPh3ErjpbPbjt9A0gXhisW7fOrm2bzWasWbOmw2PDhg2DUqm0LqHSVo9SEzpx8803Y/jw4e3ub618XLBgAdRqNTZv3gxfX18cPXoU48Z1ODDaJQvPs45GcjIzMs4vWLhwwoL589OTbropxsXFpfO/y95fmHSKpigGMsaEtiGOxWJBemqqRuB5V7lcXqVWq738HVS1dq1pu0q3M3l4eGDx4sWStH258ePHY9y4cRAEwSGJz627izPGlP7+/uag4OCgKz2+j2tufN71Q0h/4OfnhxUrVnTrsaGhob2uLuqMSqXCU0891enx6OhoJCUl2bXNVkuXLu3yMdOnT7dLHhAvCGCXTdEUFxWV33PPPd5ubm7ml19+WTEoMLCrKZGBUV1FnIO7LPE4Iz1da7FYDIzjmEql8ohsUy5+hXPQGjmk2ziOc0iAYzabWWF+fpbZZIrx9PZOHRYT0/7ytIPu9KFJet0T0gM8z0NoM5KjaW42bNq0Kf3suXMR3337bVb0sGGxXZ3DEds6UJAzgAmMCawlsC4vK7M0NTY2McYC5DIZP+KycvHOUJBDrgY52dmpWp1unMrF5XxEZGTM5bkVnaB8MkKchLdYrNNVPM/j7Nmzp//n6adnPPfcc6fGjhuX0J2LHzZQSsiJczBBMPE8z3RaLfLz8gyCIKjlcnl1RFSUi3s3czUcsTEqIT1RUlxcXldbGwDGNEFBQd5+fn7d3a6BghxCnESn1zOLxWIGgNycnMzbbr99+IgRI8rvv+++IC8vr26tYsvRSA7pCQaYTSaTObVld3EAGk8vL7eQkJBuzydwHMekKLkkBLhULs4EQe3t61sy1N6LVRFC7EKj0TCLxWKsqqysfeqvf23SarW+n2zc2BAaFtbtzf0G1LYOxPE4wFRRXq4wm0wNjDFPuUKhiIuP79mmheKCgA7qISGdEwQBuTk5Fw16/VgXN7fTMbGxcRRwE3J1YoxBq9Vi//79x7/99tuJH3/00cmRo0bF9+Rv1hEbdFKQM4Axxqo5jvuV5/kwuVzeNHz4cLeelotzlIBJJJKXm5vX2NAQK5PJCsLCwkLd3NyoGpSQq1hlRcU/ly5blnTbbbddvPmWW4a5uLj0KMagkRzSM4xZeJ6fLJPJqgar1Sr/gIAeR8m0fxWRAs/zstrqajNjTDlo0CBTV+XihBDp3Zyc/AcvLy9h3euvK9RqdW/WJ6F1crqJa26zj44z8RbLVfM75WSyGzmOg1Klco+Kju71lrY0RUCcrba2tlalVE7z8vQ8GR0TM0Hq/hBCuuQBIPDrr746MywmplfLSDtiusqeH8iBAHDhwoXgvLw8STa102g0YTzPw2A08qkXLxqk6AMTBBk4DlqNxj0jPV2S34NOqw2EILhAJpNxHKdNGDnSsw9bYzDapJM4k1wuR3BQ0PUKlep8RHT08G6Wi5Nrj3Lrtm2DMzMza6RonOM4VNfUDDp79qz3uxs21DKJpvb37t0boFQqYTabpfk9ANyJ334bCcDjmbVrTyQmJo7s7VpZV/sGnV4AsGHDhh7nfdiLwWAAz/OoKC9XukREdH8nSzvjxL7IjEaj89f5R0vZt0wGmUxmHBoR0W53cWLLzc1tQsCgQYri4uLQ8rKyDjeYczQLzw8BgKqqquSjhw9L0gcGcAzgGhsbB0nVBwvPR6jVapkgCKagwYM9e1AuTq493KZNm7y/cMDik91lMplQU1Mje/qZZyRbOt5isYDjOPy0a9cgqfpgMpkQHBwsPPjAA8HePj69njWQy+VX9UhOHgC88/e/l4QPHdrtkjF7Ki4uzh8zdmxkREQECwwM1EjRh/r6eoXFbHbz9fPTRUZG9vo/uy9KSkrKKysq5DK5nPPw9Azsy7lkHDfgp6sEnq/hLRYmcBwPiSrJLDzPKeRyhUGvN6mUSimHLpQWk4nJ5PJ2G+05g9lsZjzPK2VyeWXElTZ2IwQwbf3ii5Jx48d3vQmhA+h0OuX8+fMDRyQkNP7tlVeMSqXSIkU/tmzZEqxSqXDnnXeWS9G+yWhUPvPMM7lFJSUjfP39w/pyLoHnr+qRHACAUqUydXehOXtTyOWmln8KcSNGSHIFePbMmfrmxkY3uVwuSPV7UKlUZgD2ubwRVzwe0FGO0WQqaGho4McnJpZHREaGd/0M+7tw/nxJQ319aPjQoftHjR49W4o+NDU14fyZMwgIDKwdOWpUn4Lj3srNyck7ceLEkKCgoEaO4/r0hkkGPoVSyaS6qG6or7cAYh5JyJAhQVJs0AsACoXCIpfLOal+D1qNBjK5PK/rR3aNoxJyIgWqISeEEOJoVEJOnI7jOHC0GCAhhBAHow06ifNxnPhFCCGEOBBt0EkIIYSQAckRG3TSAhSkUzXV1cxiMpkZY1VS94WQnuIGeMI8IQOJIAgoKyvTAWgGYLfPHMmCnMrKSnz66aeQyWRYtmwZ1Gq19VhzczM+/vhjNDQ04K677oIjK0k1Gg1ycnKgUCgQGxuLtmv8GAwGZGVlged5DB8+HO7uklSES8JoNCInK0tn4XlPxnEfSd0fQnqipLi4QqvVhnGMnZa6L4SQruXl5ubOX7AgFkApgHx7nVeSIKeqqgrjxo3DqFGjIJPJ8MYbb+DMmTNQq9XgeR633HILTCYT1Go1NmzYgKNHjyIyMtLu/WhubsZXX32F4OBgmM1mXLx4EfPmzYNSqYTFYsH3338PFxcXyOVyZGRkYO7cubB3mWB1dTUOHTqE5uZmhIeH4/rrr4dSKa5jqNFosH//ftTU1ECtVuPGG2+Eq6urXdvvTHpamobneRkEIfuGpKRVTmmUEDvQ6XSmsrKyOkEQhnMKxetS94cQcmV1tbWNzz//vLG6utoNQJI9zy1JTs6//vUvTJgwAbt27cLOnTuRmJiId999FwCwf/9+VFdX4/Dhw9i5cyeSk5Px+uuOeZ86d+4cIiMjMXPmTNx6661wdXVFdnY2AKCwsBAKhQK33XYbbr31Vvj5+SE1NdWu7VssFuzatQvh4eFISUmBRqPBsWPHrMcPHDgANzc3zJ49G4wxHDp0yK7td6awoMCk1+mMAqCEQjHDKY0SYgeCICA7KyvLaDDEy4AXpk2bliV1nwghnTObzezAgQNpn2/aNALAQwDsuqihJEHOlClT8NRTT1lvx8bGoqSkBADwww8/4Pe//711xGTJkiXYs2ePQ/oRGhqKhIQE621fX19oNOJCyYWFhYiKikLrnk/R0dEoLS21a/sVFRVQKpVITEzEoEGDkJiYiMLCQgCAXq9HeXk5pk2bBrVajenTp6OgoAAmk6mLs/ZNc3MzSkpKTGazOYDj+YenT58uySqa/U1VVRWqq6sla5/neZSWlqKgoAA6nU6SPjDGUFZWhsLCQoe/TjtTkJ9f2NzUFAWOOzl1xoyXJOkEueowxvD2229j/PjxmDJlCr755psOH5eeno5Zs2Y5pA///e9/MXHiREycOBEffvihzbGKigrcd999iI+Px80334zvv//ebu2ePXsWs2fPRkJCAlatWgWtVms9ZrFY8Pzzz2P06NGYMWMG9u3bZ7d2uys9LS1t6bJliQB+BPCxvc8vSZAzc+ZMXH/99QCA0tJSfPXVV0hKEkeo8vPzER0dbX3ssGHD7B5ctIqIiMCgQeJ2H01NTSgqKkJISAgAcarI29vb+lhvb2+bF4c9hIaGYt68edbbBoMBrZsRVlZWIiAgwJoj5OnpCQ8PD9TV1dm1D23xPI+01FStYLG4Atg1LSmJcnG6wWQyYe/evSgvlyYe1Ov1+Prrr/HLL7/g8OHD2Lx5M4qKipzaB0EQsH37dvz88884dOgQtm7dioaGBqf2oa6uTlNZVQUwJuMFIdmpjZOr2gcffICXXnoJDzzwAG6//XYsWbIEBw4csHmMRqPBXXfdheLiYru3v337djz88MNYtGgR7rnnHqxevRpffPEFAPF999Zbb0VOTg7Wrl2LESNGYN68eXaZOaiurkZycjKCg4Px9NNPY+/evXjkkUesx19++WX85z//wapVqzB16lTMnj0b6enpfW63u0qKiytWPPSQr16v1wP4vSPakLS66vnnn8crr7yC6667DgsXLgQA1NbW2gQXPj4+0Ol00Gg08PT0dEg/jhw5grS0NISHhyM0VFwZ22Aw2CQhq1QqGAz239hcoVDAZDIhLy8Pp0+fxrhx4wCIH1wuLrZbsri6ujqkD62yMjN1FrPZDI6zVFZV3e6whgYQk8mEXbt2oampSbI+nDp1CiqVCnPnzoVSqcSxY8dw+PBhhIc7b4eKtLQ0aLVaLF68GC4uLti7dy9OnDiB5GTnxBpmsxlFBQW5FpNpDOO4eTfOmOHcCItc1f7973/jueeewx//+EcAQFZWFj755BNMnz4dAJCXl4dFixYhMzMTQ4cOdUj7K1euxJ///GcA4sjvxo0bsWjRIhw7dgwZGRkoLi6Gn58f7rrrLuTl5eE///kP3n777T61u23bNgwePBgffvghOI5DdHQ0pk2bhvfffx8uLi5499138c9//hPz588HAJw8eRKbNm3CSy85fhBUp9NZtm3dWnz8+PEJAKYAcMjwr6Tr5CxatAg7d+5EXV0d1qxZA0CMaluniACgdct2s9nssH7ExcVh5syZqK2txZkzZwCIV6ZtcRzX7j57qaurQ3p6OiwWi/XnNRqN1gTkVkql0mFBTk11NauvqzMKjPnIFIpZCxculGa+oR8xmUzYtm0bBEGwjghKobS0FAkJCdbXy+jRo9Hc3GydenUGnU6HESNGwNXVFRzHISoqClVVzlt5IDszM7O5uTmBcdznN9xww9dOa5j0C2+88QYWLVpkve3r62szKv6nP/0JarUab775pkPaX7t2LR566CHrbR8fH2v7KpUKq1atgp+fn/X48OHDrSkcfTFr1iy8//771k2WfX19YbFY0NzcDJ7n8dFHH2HmzJk2/aqvr+9zu10RBAFnz5xJXfPkkxMA/B3Asa6e01uSBjnx8fG46aab8M477+Cjjz4CYwwBAQE2V8WNjY1QKBTw9fV1WD/8/f0RFhaG3/3ud8jIyAAgjpq0DaxMJpPDKpuCgoLw+9//HsnJyTh48CCam5uhVCrB87YbQfM8b53OsiejwYDsrCw9z/O+DHhn6tSpDnvBDSQ8zyM2NhZz5sxpN+rmTLfffjsiIiKst1tft20vFhxt0qRJGD16tPV2XV0dPJy0QW1ZaWlVY329H4D66dOn3+OURkm/ctNNNyEoKAiAOOr4+eef44477rAef/XVV7F9+3Z4eTlmX+cpU6ZYl0IpLCzEe++9h9tvFwfLJ06ciJdfftnm8QcOHEBcXFyf242MjMSUKVMAiLMTL730EiZPnozAwEAoFAqkpKRYf+ajR49i+/bt1n71VE8GAfJyc/MXLFwYIQhCFoDVvWqwmyQJcjZv3oxz585Zb4eHh0Oj0UCv1yMwMNAmB6e0tBTBwcFwwEKIyMjIsAmoPD09IU4NikFO2xwcnU7n8HVygoKC4O3tjaqqKri4uLQbveppoMUxxtCNfafS09KaefEFmn3DDTdQuXg3ubm5YcKECQ4JPHvaj7Z9SEtLQ0BAgCTrOtXV1eHo0aO4cOECJk6c6PD2dDqduby0tMbC2CC90ZjEcZxjhlvJgHD33XcjISEBsbGxuPvuu633tw3QHekvf/kLIiMjoVQqsXp1x5/tn3zyCVJTU3H//ffbrd09e/bAx8cHX331Fd555512x5OSkjBlyhSkpKTglltu6VUbgsXCWDc+b+rr6jTr3njDVFZW5g7gxl411gOSBDk//PAD3nvvPevtffv2ISoqCu7u7rjuuuvw448/ovWX9eOPP9oMp9lTXl4esrIuVZiWlZXB398fAKBWq22SN4uKiqz5OvaSnZ2N3bt329xnsVigUCjg5eWFuro66+/BbDajqanJZkizG4SuXnSFBQUmnV5vZowpIZPN6NEPQK46JSUlSE1NxXXXXSdJ++Xl5aiqqoJMJutTlZcgCF2+WzLGkJOdnaHT6+MZ8OLMmTMv9rpBck1YuXIlvvvuO1RUVNhMHznLkiVL8NNPP8HV1dWaB9PWkSNH8Mc//hFvvfWWXdeGi42Nxc8//4xly5Zh1qxZ7aaSX3zxRWzZsgWHDh3Cc88916s2zBYLGGNXvMiwWCw4dOhQxvvvvz8cwMOwc7l4RyS5BF2zZg2mTp0Kb29vuLq64s0338T7778PAFi6dCn+7//+D0uXLkVsbCzWr1+P/fv3O6QfY8aMwa5du8BxHHiex8WLF62JknFxcbhw4QIOHDgAFxcX5OTk4M4777Rr+/7+/jhw4ABqa2sREBCArKwsGI1GqNVqqFQqyGQyZGdnIzY2Funp6QgICOjRFAADrhhZNzU1obS42GTheX8ZY3+YlpRE5eL9WFVVFX755ReMHz8eQ4YMkaQPCQkJSEhIQG5uLvbv34+QkJDeFgx0GeTk5+UVNDU2RnOMnZo+Y8YLvWmEXFsmTZoEAPDw8EBycjLWr1/vsIKWjrQWloSFhWHEiBHIzs5GTEwMAHHdtjlz5uDhhx/Gww8/bNd2w8LCEBYWhmnTpuHgwYPYtGkTVq26NGg/depUAGIu6OOPP44XX3yxx21YeB6MMR5XGDzJSE9PX7xkyWgAOwE4pXpXkpGcxMRE7N27FyUlJcjMzMTWrVuxZMkSAICXlxf27dsHV1dXnD9/Ht988w1+97vfOaQfQ4YMwcyZM9HQ0ACtVouUlBTraI2bmxtuvfVWa5JWSkqK3fOCAgICMG7cOHz33XfYsmULjhw5ghkzZsDV1RUymczmBXny5MneXJ13OpJjsViQnpam5QWBysUHgPr6evz000+IiYnB+PHjpe4OoqOjoVQqe5183NVITl1dnaa6uhpgTGYBeje+Tq4JZrMZP//8s036QUJCAgRBcEi5eEf27t2L2tpa6+24uDgoFArrbEF+fj5mz56NOXPmYN26dXZrNy0tDRcvXhrglMlkiI+PR2FhIXQ6HXbu3GmTS5OQkICGhoZeVYsKPM+YIPCdHS8rK6t6+JFHfHQ6nR7A3B430EuSJRNMnjwZkydP7vBYdHQ0Pv7Y7msCdWjIkCGdXvX6+/tb1+9xlPHjx2PYsGFobm5GQECATc7N0KFDsXjxYtTX1yMgIKDnW0pcYRwnu7VcHLBUVldTuXg/ZjQasXPnToSEhFjXn3K2X3/9FWFhYe32metDLl2nQY7ZbGYF+flZJqNxPJWLk67IZDLMmzcPn332mTXZ+MKFC5DJZA4pF+/IihUrsGbNGusaNWlpabBYLIiMjATP81i6dCnGjRuHjz/+2K4FA++//z6ys7OxY8cOAGJycFpaGm6++Wbo9XrMmTMHx48ft+bPXbx4EQEBATbLuHQXL47kdDhdpdPpLFu3bi0+fPjweDiwXLwjtAv5VcDb27vTF5WHh0evq1SETsKcyooKoaGhQS8w5q/g+alULt6/HT9+HK6urkhKSnJIgn53MMaQnp5uU0FiMpkQGBjYq/NdaSQnJzs7VafVjoYgbL4hKYnKxckVyeVyLFmyBGvXrkV0dDQMBgMee+wx3HvvvU5Lzr/rrrvwyiuvIDExER4eHnjggQcwa9YsREVF4csvv8SxY8fwxBNP4K233rI+JzIy0rp+XG8tXboU119/PTZu3IikpCS89dZbqK2txeLFixEQEICUlBSsXr0aGzduRElJCdauXWtdS6ineDEnp91IjiAIOHP6dOoTTzwxHsA7cGC5eEcoyBnAuA6mq/R6PXJzcgw8z/tVIV7uAAALHklEQVRDEP455aabjkjUPWIHZrMZ2dnZ4DgOn376qc2xW2+9FQEBAU7pR2JiIr7++mts374dnp6eyM3NRWJiYl/yHToMcoqLisobamoCGWP102688a7e95hcS9atW4f77rsPY8aMgUwmw8KFCztcaE+lUvVqFKMr//M//4Pi4mJMmTIFjDHMnDkTGzduBCAmG/v5+bWbvUhKSupzkDNp0iS89957ePzxx9HU1IRhw4bhhx9+sF58fPDBB7j77rsRExMDpVKJFStWYO3atb1qyyIIrKORnPy8vMJFixdHCIKQDcDp1bsU5Axg7LIghzGGtIsXm3lBkAHInp6U9Jh0vRtYxo8fL0nJNs/zSExM7PBYj6c3+8DLywvz5s1Deno6TCYTkpOTERYW1uvz8TwvMMZsRqY0zc2G8rKyKgtjo/RG4xgqFyfd5ePjg6+//hpNTU2Qy+Wdjo7Pnz+/w6qnvnJxccGHH36If/zjH7BYLDaB1Pr167F+/Xq7t9nq/vvvx/Lly1FbW4vBgwfbHAsODsbu3btRX18Pd3f3Pq33xfM82GWL5dTV1ja98sorutLS0hAAM3p98j6gIGdgs1knJy8312A0mXQA/Klc3L6Cg4MladfV1RVjx46VpO3LeXp62nNtHJsgh+d55ObkpBrFPJwXqFyc9IYjRml6QooLIUCcsrs8wGmrh0uTdIjneQhtRnLMZjN+/fXXtI8+/vg6AH+AE8rFO0JBzkDGmHUkp76uDpUVFXqLxaKWAw9OvfFGKhcnVy1BEPi2o5C5OTlZjc3NcRxjp2+gcnFCrjq8uBigNcjJSEu7uHTZsvEAdsFJ5eIdoSBnAOMFwczzPMxmMzLT07U8z3uC436eOmPGf6TuGyFXIgiCpTXIqayoqKmpqWEyxuQW4GaJu0YI6YDeYGAWnrcAQElxcfnye+/1NRgMegCSVu9KuncVcSyOMZPZbDZnpKdrzDyvB6CrrKq6Tep+EdIVo9Go43keBoOBLyktTectluECxy278cYbqVyckKuQRqNhFrPZrNNqTZs2by44c/bsEACz4MRy8Y7QSM4AxjjOVFFeLmNAIxgLoXJx0l9oNJpms8mE/Ly8czqNZjIY23LDjBlULk7IVUoQBFgsFvOZU6fO//Wvf70OEpSLd4RGcga2egbk8hZLCJWLk/6kobGxPjc3t6qpoSEIQP20GTOWSd0nQsiVNdTVld5x550xjDFJysU7QiM5AxjHWDNvsQQCyKFycdKflJWVVWiamk4KwCwqFyekf5g0ebIJgDskKhfvyIANci4r13cexqRZcrYDjOOu5zjOExyXIHVfCOmJiNDQMIGx2Ywx2l2ckP7BFeI+cpKVi3fE7kFORkZGRV5eXu925esjvV5vZowNZ4wJRw8ftkjRB8aYKzgOTU1N5vPnzkkyH2k2mzkOGMUYc5cxRuXi3WQ2m5V6vV6axhmTt36Xqg9GoxEAIAiCZH3geV7JcRxGjh69FMCZG2688XlJOkL6herqapczp08XStE2b7GozBaLurm5WZ6ellbKcZwknzn19fWhKpWKk+r3IAiCsrauzh+AN4CfIWG5eEfsOeqQCOCkHc/XKyqVCp98/HGnm25eSzggd9qMGcOk7sfVbtXKlatuSU5+q7a+/iIn0eZPAs97R0ZEhF+4ePGkt4+Pa9fPcIyhYWEji4uLywWgtutH25/A80JYaOgomVzO6/T6gJSUlJ5vh0yuFVqIUyPk6mAE4AlAkmCvM/YcyTkF+wZNvWIymbBkGeUoku4z8Xxubk5OCQBfqfogl8sVtTU1PG82q+traqTqBjzc3CwNDQ0cb7H4SNUHnVZbIQjC+4+uXEkBDrmS3u1cTAghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQhzOXouZ9eQ8IQCeAjDYTm0TQgghhFgpAWwAYI9lj28AsLMHj18MQID9AixCCCGEEKvfAWAAxtjhXL8C+KwHj38ZgCSbpBFCCCHElkzqDjjASIgbhGXY4VwJAFJ72PZFO7RLCCGEkGuQK4C/QQw+zgF4FZd2on2y5X49gC8BDIUYqGwCEAjgWwDHIG7E6ArgeQDnAZxpeW7rBqNxAL6GOCJ0HMDKlvs5AA8BOAEgE8DfYbsLbjaA1wDc3vK8dAAP2ufHJoQQQshA9w6ACgB/BfAmAB2Aj1qOvQqgFkAexCDHE2KQkQ5gf8v33QDkAHYB0AB4o+V5+pbvAHA9gCMQg5xvASxpuf91AGaIU1jvAjC1fAfEYIcHsA9AAYC3Wto0Awi3z49OCCGEkIGsArajI38BYASgarldBnGEptXfARhavrd6CGLwcV2b+/4EMehpPc8qAM24NKU3GmIQ81Cb57wAQAtxhCcRYlB0BpcSj6Nb7rup+z8eIYQQQq5VxQB+BuDXcjsIwB0Qp5/8IQYV89s8fg+AcgBube5LB/DpZecd3vLcYS23/wNxyqnVuxCTiuVt7hsBYA0AFwDL0T6gmdRy34ju/nCEEEIIsQ+F1B3ohX/hUk7OkxDzbb5rOTax5Xvb5N+REAMafcvtaIg5N/m4ND0FXMqtCQCQAzGXp+15kgH8CHE0p1VayxdaHl8DcbqqVQzEkvKCbv5shBBCCLGT/lhd9SqAeRArqD6DmCDcOroyEuLUVE7L7UCIC/MdbPP86JbvHhCnmFq/4iHm65RDnH5qG+QoICYxn79Cv0ZCTEgWLruvAGLeECGEEEJIhxQQR0a8W257A/gY4nTQwpb7/gngbJvn3NhyvO0KxPNa7lNfdn5Vm38PbXnMLS23/VpuL77sOdMADGn5dxGAly47/gMujTIRQgghxIn600iOL4AsAHNabjcBuB9ANcRRGEDMfUlr85yRACoBVLW5r7zle3Sb+1wgln+3Tl8ltHxPb/neCDG5ue1KxkMhVk9Nb7k/FO3X1BnZwX2EEEIIIe0UQgwsWpOIx0KskprXcrsIYoJwa67RuwB+uewcSoiBz46Wf3sC2AIxaGoNfFZCnHbybnOufQAOQRzxcYO43UMhxITnKRBHeka2acer5RxLe/ejEkIIIeRacjvEBOIaiNNSJgDbcWlE6gzEYCOz5fYhAG93cJ4FEHN66iGWjTcCmN3m+NKW81gA3Nly32SIJeXFEIOkOlwqQX8Q4kiPss057Lm9BCGEEEJ6iOv6IVedYQBSIObJnIGY98JajoVCDGCyII7UzIE4DZXVwXnGQCw9bwDwFYDSNse4lvOEAPgEYjAEiDlBcyEGNFtxaeorAUBES5utQiEGRt9BDMZaxUGsCjsKcTSobbuEEEIIIf3aJIgjSAxALoB1EHc8748l/YQQQgghNiZBLC0XIOYVaSFOxf0I4A+4VLVFCCGEENLvjIeY5yNAHNVp/dJAnOIqh1gWfzNsS9wJIYQQ0gUpc3KiYbv9wrUqDGLishId/38IuLTKch7EDUq/A+XyEEIIIVckZQ6IEpf2n7qWucB2leTLcRBHd1p/X0EQFzKkIIcQQgghV61YALUQS9XbTlfpIebrNEGsHrsHFBASQgghpJ+Ig7jWDg9xJKcZYrBzEcCzEPN1+mOJPyGEEEKuYXEQFzRkENfp2QJgEWi0hhBCCCH92DAA2wCshbj7OY3WEEIIIWRAkEvdAUIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCH93f8DKbdDHJhniBkAAAAASUVORK5CYII=" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Соответствующее растяжение\n", "![broadcasting_4.png](attachment:broadcasting_4.png)" ] }, { "cell_type": "markdown", "metadata": { "id": "Je7i5xbZQ1Qs" }, "source": [ "## 4. Matplotlib\n", "\n", "Модуль `matplotlib` — одно из популярных средств для построения графиков. При использовании `matplotlib` не забудьте написать `%matplotlib inline` для того, чтобы графики отображались в вашем окне браузера.\n", "\n", "Начнём с построения простых графиков." ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:55:01.606917Z", "start_time": "2022-02-05T16:55:01.596542Z" }, "id": "-cJHKLhMR6M1" }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": { "id": "gCCVxo8YSSpU" }, "source": [ "График, соединяющий точки, строится с помощью `plt.plot`. Передаём список $x$ и $y$. Если не хотите соединять точки, используйте `plt.scatter`." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:55:04.366698Z", "start_time": "2022-02-05T16:55:04.226966Z" }, "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "id": "uazwp5-KSMtG", "outputId": "d2e1fa7f-572f-4b7d-b063-8856a502bc31" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot([0, 0.25, 1], [0, 1, 0.5])\n", "plt.scatter([0.25, 0.75, 1], [0, 0.5, 1])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "Be2Mk9Y-SyLR" }, "source": [ "Можно изображать несколько кривых, тогда они будут рисоваться разными цветами. Чтобы рисовать график функции, достаточно соединить много точек." ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:55:20.672231Z", "start_time": "2022-02-05T16:55:20.520442Z" }, "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "id": "HMvR7-CnSQLf", "outputId": "2c4df3ee-12a9-42d8-c5cb-288f6861f32a" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 2, 100)\n", "\n", "plt.figure()\n", "plt.plot(x, x)\n", "plt.plot(x, x**2)\n", "plt.plot(x, x**3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "34JMo4XzTGsc" }, "source": [ "На график можно добавить подписи, легенду, настроить цвета и стиль линий." ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:55:35.924157Z", "start_time": "2022-02-05T16:55:35.669634Z" }, "colab": { "base_uri": "https://localhost:8080/", "height": 513 }, "id": "xPG3wMIDTLdk", "outputId": "d32a94c1-b3eb-4eb8-f926-8fa3c4605144" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-2, 2, 100)\n", "\n", "plt.figure(figsize=(8, 8))\n", "plt.plot(x, x ** 2, linestyle='--', lw=3, \n", " label='$y=x^2$', color='red')\n", "plt.xlabel('Ось X'), plt.ylabel('Ось Y')\n", "plt.legend(fontsize=15, loc=3)\n", "plt.title('Парабола')\n", "plt.grid(ls=':')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Закрасить область между двумя кривыми $y=y(x)$ можно с помощью функции `plt.fill_between`, а между двумя кривыми вида $x = x(y)$ --- с помощью функции `plt.fill_betweenx`.\n", "\n", "Горизонтальные линии можно нарисовать с помощью `plt.hlines`, а вертикальные --- с помощью `plt.vlines`." ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:56:08.377624Z", "start_time": "2022-02-05T16:56:08.193905Z" }, "scrolled": false }, "outputs": [ { "data": { "image/png": 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eMuwlU669Ls6u48sDk4inZK9psmU94RXppPfOJh0wPYDtNOx6pe7zV5exsJ7EE6c6EA76i379fCW4DHvJsJcMe8mwl0w59nr+6hJ+dnUJd7Ptyrb1hGnKV/w1zJ2U3y0+zxzlvW/qnVxd2MDnhb+WypdgMFj067QZe8mwlwx7ybCXTDn1chyN756fxbNjd7egBuxcT5jkD3hvuzAX1S4FtTdeACi1vJHCZ18YL/p+1tGo+f26bcJeMuwlw14y7CVTLr3SWQffeHka56cjri7H1vWEKam493Yv4qLapbiv2vQId217P+sfXpxHJrv7sTPzqaWlpSjXUyrYS4a9ZNhLhr1kyqFXIp3FV1+awtWFDdeXZfN6woTKugbTI+Tgotqlmuya6RFce2l8FZ99cQKL0cL/lDw5OVnw6ygl7CXDXjLsJcNeMqXeayOZwZcGJjG1kp8XzJXCeqKY1pfmTI+Qg4tql9YCzaZHyIvF9SQ++/w4zk2sFvToIMeOHSvYZZci9pJhLxn2kmEvmVLutRZP4wv9+T0HRKmsJ4qlsaPX9Ag5uKh2qTntvZ+U7lbG0fjB6DyeHJpGLJUpyHWcP3++IJdbqthLhr1k2EuGvWRKtddiNIkvvDiB1Vh+D4FXSuuJYlicGDM9Qg5l8pjF+dLX16f7+/uLfr0j0xE8dX626NdbDNUhP956bxuOtdVAKR7mh4iIaHYtga++NIVEWnYMasq/J0514GSXmRPAKKUGtNZ9t7+fW6pdak1OmR6hIDaSWXzz5Rl8/dw01vL40/jAwEDeLqscsJcMe8mwlwx7yZRar6nVOL48OFmwBXWpricKZXZsxPQIObil2oVS3lJ9s4BP4bEjzTh7sBF+H7daExFReZlYjuHJoWmkMsU5UhbdGbdUl6By+Mky42j89MoiPvP8DUwsuzsuZKltuSg09pJhLxn2kmEvmVLpdWNpA18/N1XwBXU5rCfyiVuqC4RbqovreHstHj/ShOaakOlRiIiICubqQhTfenkGGcf+tVKp4ZbqEtScKr9X616aW8dfPncDf/3KrHh/6+Hh4QJNVZrYS4a9ZNhLhr1kbO91ZX4d3yzigroc1xNuLIxfNj1CDu+dON0yK8HyPK6k1sCFmQguzq7j/u46PHq4CbXh4B3/3/Hjx4swXelgLxn2kmEvGfaSsbnXpbl1fGd4Fk4Rf5tfruuJu9XYedD0CDm4pdql2kx5nwHJ0RovT67hz356Hd+7MHfHszKOj48XabLSwF4y7CXDXjLsJWNrLxMLaoDrCanI4ozpEXJwS7VLMX+16RE8IeNsLq5fnlxDd2MlHuptwNHWmpyjhbS3txua0E7sJcNeMuwlw14yNvYytaAGuJ6Qqq733pZ9bql2KeQkTI/gOVMrcXzr5Rn86U+u4tmxRUQSr+13vbq6am4wC7GXDHvJsJcMe8nY1svkghrgekIqGVs3PUIObql2KauYcDcbySyev7qM568uo7M+jKNtNWjy+U2PZZVwOGx6BKuwlwx7ybCXjE29TC+oAa4npPxB7x2BjN9BKoqZtQRm1hKozEbx7FQaR1trcLStBq01Ifh4QhkiIjLECwtqKg1cVLvk1xnTI1jFrzNYjKawGF3G89eWURHwoaMujM6GMLrqK9FRH0Y4yK3Z2xIJ/jpQgr1k2EuGvWRs6OWlBTXXEzLZ9N4HRjCBi2qXkj57fr3lBbf3SmUcjC/HML51pkalgObqCjTXhNBQFURjVQUaqyrQUBUsy8V2Q0OD6RGswl4y7CXDXjJe7+WlBTXA9YRUqKrW9Ag5uKh2qSq7gTXeEfbtTr20xtaW7FTu/63woyYcQFWFH5XBzb+rKvwIB/0IB30I+HwI+BWCfh/8PoWgzwe/X0Fhc7GuoDb/3vr3TjY/BvjU9uea3TVlbm4OdXVmzhhlI/aSYS8Z9pLxcq/LHltQA1xPSG2sLQHoMj3GLbiodmk9UG96BKu46RVLZRFLZfM4zZ0ptbnA9ikg4Pch6PehYmvhHvT7EAz4UBn0o7rCj+pQANUhP6oqAqgOBVAbCrjeX/zAgQN5+krKA3vJsJcMe8l4tdeV+XV822MLaoDrCam6lk7TI+TgotqlxvQSlirsOxanKbb10hrIao0sgHQ2izj2v6j3+xQaq4Joqg6hqboCzTUVaKre3J3l9uN37+bSpUt44IEH7nL68sNeMuwlw14yXuzl1QU1YN/zo2krMzeAgy2mx7iF0h68YUn19fXp/v7+ol/vyHQET52fLfr1kt0qAj501ofR3VCJnqYqtNeGEPDzkPFERIV0ZT6Kbw/PIOvYv+4h4IlTHTjZZWb3IqXUgNa67/b385ncpdbklOkRrMJemy/OvLEUw7NjS/jCixP4rz8cw5cGJvHi9WWsxdK3fO7AwIChKe3EXjLsJcNeMl7qNbbg/QU1nx9lZsdGTI+Qg1uqXeCWaiqE9rowjrfX4J72WtRXBk2PQ0RktbGFKL71srcX1CTHLdUliD9ZyrDXnc1FEvjx5UV86ifX8OWnfoSXxleQzBT3BZq28tKWMRuwlwx7yXih15V5exbUfH6U4ZbqAuGWaip1FQEfTnXV4eHeRtRXces1EdGdbL8o0YYFNclxS3UJaknNmB7BKuwls90rlXHw0vgq/sez1/Dk0DQmlmMohR+I821oaMj0CFZhLxn2kjHZy8YFNZ8fZeavXzQ9Qg4eUs+lpSAPfyPBXjK399IaGJuPYmw+ira6EN5wtAUHm6uMn6TGK06dOmV6BKuwlwx7yZjqdXnOu4fN2wufH2Vaeo+aHiEHt1S7VJ9ZMj2CVdhLZq9e85EkvvrSFL48OIXZtUQRp/KuK1eumB7BKuwlw14yJnrZuqAG+PwotTI7YXqEHFxUuxT18wxIEuwls59eE8sxfPaFcXzz5WmsbOSe3r2c9PT0mB7BKuwlw14yxe51YSZi7YIa4POjVG2z97bsc1HtUqWzYXoEq7CXjKTX5bko/uJnN/D90Tkk0uV5tJDFxUXTI1iFvWTYS6aYvV6ZWsNT5+1dUAN8fpSKR1ZNj5CDi2qX0ipkegSrsJeMtJejNYYm1vAXP7uOS3PrZfdixpqaGtMjWIW9ZNhLpli9zk2s4pkLc7D94Y7PjzIVlVWmR8jBRbVLPl2eWwTvFnvJ3G2vjWQW33p5Bk8OTSOSSN/5P5SIdLp8vtZ8YC8Z9pIpRq/+68v4wei89QtqgM+PUtlMxvQIOXj0D5cUSuCeXETsJeO219WFDUyu3MAbjrXgwe56+HylfZQQx3FMj2AV9pJhL5lC9/rZ2BKeu1o6L+7j86OMdrz3Qwi3VLuUUTwRhwR7yeSjVyrj4Aej8/jiwARWY6X9QsaqKu/9OtDL2EuGvWQK2esnlxdLakEN8PlRKhiqND1CDi6qXQo5cdMjWIW9ZPLZa3o1gc88P47R2UjeLtNrlpeXTY9gFfaSYS+ZQvRyHI1nRubw4vXS+17w+VEmseG95zLP7v6hlLoOYB1AFkBmp9NBesGGv9b0CFZhL5l890plHHxneBbjSzG85d42VARK6+fqrq4u0yNYhb1k2Esm370yWQffeWUWV+ajeb1cr+Dzo0x1Q4vpEXJ4/Rn1rVrrh7y6oAaAusyK6RGswl4yhep1fjqCz74wjvn10jppzLVr10yPYBX2kmEvmXz2SqSz+OpLUyW7oAb4/Ci1Nj9leoQcXl9Ue95KsNX0CFZhL5lC9lreSOHzL0zg3MRqyRx678SJE6ZHsAp7ybCXTL56bSQz+NLAJCZXSnv3CD4/yjT3HDY9Qg4vL6o1gO8qpQaUUp+8/YNKqU8qpfqVUv0zMzNYXFzEzMwMpqamsLKygrGxMcTjcYyMjMBxHAwODgIABgYGAACDg4NwHAcjIyOIx+MYGxvDysoKpqamsH15169fRzQaxejoKDKZDIaGhm65jNmxEbSmZtCcmoNPZ1CfXkLQSaAms4rKbBSV2ShqMqsIOgnUp5fg0xk0p+YAAK3JqVv+bknNQGkHDekFBJwUajMrCGdjqMqsozoTQSgbR116GX4njcbUPKA1WpPTt13WNKA1GlPz8Dtp1KWXEcrGUZ2JoCqzjnA2htrMCgJOCg3pBSjtoCU1s+M8hfqaOpITJfc1FfL71J24VtCvKeNoDL88hL8ensLIhQuIRqO4fv26kfvT9t/Dw8NIJpO4fPkyIpEIxsfHMT8/j/n5eYyPjyMSieDy5ctIJpMYHh6+5f9+73vfAwAMDQ0hk8lgdHTU+q9p++9CfE0//vGPS+5rKuT36YUXXii5r6mQ36dz5865/ppWYyl86/s/xcJ60urH8v08P7Ulp0ruayrk92ly9Jyx+9NulFe3UCmlurXWU0qpNgBPA/iftdY/2ulz+/r6dH9/f3EHBDAyHcFT52eLfr1EhdBeF8b7TneiNsxXoBORebNrCTw5NIWNpPcOnUbmPXGqAye76oxct1JqYKddkz27pVprPbX19zyArwJ41OxEO9v+aYr2h71kitlrLpLAZ18Yx8yavb9i3d6aQPvDXjLsJeOm16W5dXxpYKKsFtR8fpSZvTpieoQcntxSrZSqBuDTWq9v/ftpAP9Ma/3XO30+t1QT5Y/fp/C2+9pwqqve9ChEVIaeu7p5UhcPLk/IQ7ilev/aAfxEKTUE4AUA39ptQW3a9v5ItD/sJWOiV9bR+O75OfzNpQU4jl3Patv70tH+sJcMe8lIe2WyDv76lRn8bKw8F9R8fpSZvXrB9Ag5PLmlWsrolupXZgBV2qd+ziut2UvCcK8jrdV4zwOdCPq9+vP3rRzHgc9nx6xewF4y7CUj6RVLZfCNoWlMr5bWYT5F+Pwo8s6TbTjV3WDkum3bUm2NxvSC6RGswl4ypntdXdjAlwcmEU/ZsV/j6Oio6RGswl4y7CWz314L60l87oWJ8l5Qw/zjvW2WJr133Hguql2KBBpNj2AV9pLxQq+ZtQQ+/+I41mJp06Pc0eHD3jtuqZexlwx7yeyn1ytTa5uPL3HvP74Umhce721S39ZteoQcXFS7VJ1dNz2CVdhLxiu9VmJpfL5/HPMRb29Jmp7mPokS7CXDXjJ79UpnHXz3/CyeHplDOmv/bqj54JXHe1tsrC6aHiEHF9UuJX2VpkewCnvJeKnXRjKLLw5M4vrihulRdtXU1GR6BKuwlwx7yezWa2Ujhc+9OIHz05EiT+RtXnq8t0G42syRP/bCRbVLAc1fWUmwl4zXeqUyDr5+bhoXZrz5ZBiLxUyPYBX2kmEvmZ16XZpbx1+9MI7F9d3PSleuvPZ473XppPfOqRAwPYDtNPhKXQn2kvFiL0drPHV+Fumsgwd7GkyPcwsemUGGvWTYS+bmXqmMgx9fXsDLk2sGJ/I2Lz7ee5ny+U2PkIOLapcc5b1vqpexl4xXe2kNfO/CPFIZB32HvPMr8WCQp1iXYC8Z9pLZ7jWxHMN3R+YQ4YsR9+TVx3uv8ge8t4Tlj90uBTV/hSXBXjJe7/Xjy4t49soivHK8+2g0anoEq7CXDHvJrEbW8f3ROXx5cJIL6n3w+uO916Ti3tsdy3vLfMvEfdWmR7AKe8nY0Ov5a8tIZR28+XgrlOETF7S0tBi9ftuwlwx77d/Ecgw/mUhiJcXF9H7Z8HjvJZV1DaZHyMEt1S7VZLl/mAR7ydjS66XxVTw9Mmf8tOaTk5NGr9827CXDXncWT2Vf3TqtN5ZMj2MVWx7vvWJ9ac70CDm4pdqltUCz6RGswl4yNvU6Px1BxtF416kO+HxmtlgfO3bMyPXair1k2Gt3WUdjaHIVz11dQjLtALDr8csL2EumsaPX9Ag5uKXapea0935S8jL2krGt18XZdXznlVlkDW2xPn/+vJHrtRV7ybDXzq4uRPHp527gby4uvLqgBux7/DKNvWQWJ8ZMj5CDW6pdWqzoND2CVdhLxsZel+bW4WiN9zzQCX+Rt1ifPn26qNdnO/aSYa9bLUWT+NHlBVxf3PkFYzY+fpnEXjJth+41PUIObql2qTU5ZXoEq7CXjK29rsxH8a3hmaJvsR4YGCjq9dmOvWTYa9NcJIFvDE3jL5+7seuCGrD38csU9pKZHRsxPUIO5ZVDYbnR19en+/v7i369I9MRPHV+tujXS2SLI63V+IUHOhHw8+d3ItuNL8Xw4vVljC9771BmVH6eONWBk11mTlWulBrQWvfd/n4+07nEnyxl2EvG9l5XFzbwzZdnkMk6d/7kPOCWRBn2kinHXo6jcXluHZ99YRxfHpwULahtf/wqNvaS4ZbqAuGWaiJvO9RShfc92MUt1kSWmI8kMDITwcXZdcRSWdPjEOXgluoS1Jziq3Ul2EumVHpdX4zhGy9PF3yL9fDwcEEvv9Swl0yp99pIZjBwYxl/+dwNfOb5cbw0vupqQV0qj1/Fwl4yC+OXTY+Qg0f/cGklyONKSrCXTCn1ur4YwzdfnsF7HyzcPtbHjx8vyOWWKvaSKbVejqMxG0ngxlIM48sbmF1Lwsnjb69L6fGrGNhLprHzoOkRcnBLtUu1GZ4BSYK9ZEqt17XFwu5jPT4+XpDLLVXsJWN7L8fRWIomMTy5hm++PI0/+tFVfP7FCTx3dQnTq4m8LqiB0nv8KjT2kokszpgeIQe3VLsU81ebHsEq7CVTir2uLW7gW8MzBTkqSHt7e14vr9Sxl4xNvVIZB8sbKSysJzG/nsDCehKL0STS2eK9jqoUH78Kib1kquu9t2Wfi2qXQk4CaV/Y9BjWYC+ZUu11daEwC+vV1VXU1Zl54YqN2EvGdK9UxkEyk0Uy42z+SWeRyjqIJjJYT2QQSaSxvvXvRNr8iwtL9fGrUNhLJhlbNz1CDi6qXcoqJpRgL5lS7rW9sH7vg115O/NiOMwnJAn22r9YKoO448PVhSiSGQeJdPaWv9NZB1lHw9Eamezm31kHcLTGq9uGt3av0Le+iZuPwqWBVy9n+/87jkZWa9h2sK5SfvwqBPaS8QdDpkfIwe8gERmzeRzr6bwurInuVirjYH49gfn1JFZjKUTir239TWUcVGajiPt54hMi2hkX1S75dcb0CFZhL5ly6HXzriBuF9aJRCJPU5WHcu7lOBozkQRm1xKYj2wupFdiqT23BpfD/TGf2EuGvWSy6aTpEXJwUe1Skvs/ibCXTLn0GpuP5mVh3dDQkL+hykC59YomM7i+uIHrSxsYX44hmZYdhaZc7o/5wl4y7CUTqqo1PUIOLqpdqspuYI13hH1jL5ly6jU2H8W3h2fwHhcL67m5Ob7wTqAcei1vpHBhJoJrixtYWHe3Zauc7o/5wF4y7CWzsbYEoMv0GLfgotql9UC96RGswl4y5dbrisuF9YEDBwowVekq1V7JTBaXZqM4P72GmbX87eJSbvdHt9hLhr1k6lo6TY+Qgyd/cakxvWR6BKuwl0w59tpeWGcd+aEOLl26VICJSlep9ZpYjuGvX5nFH//oKp65MJfXBTVQnvdHN9hLhr1kVmZumB4hB7dUu7RUYc/JALyAvWTKtdeVu9zH+oEHHijgVKWnFHpprTG2sIEXri1jLlLYF16W6/3xbrGXDHvJtB64x/QIObil2qXW5JTpEazCXjLl3GtsPopvvjwtOqX5wMBAAScqPTb3chyN0dkIPv3cDXxjaLrgC2qgvO+Pd4O9ZNhLZnZsxPQIOZS27WjyO+jr69P9/f1Fv96R6QieOj9b9OslKieHW6rx3gfzf0pzspPjaIzMRPDi9WWsxtKmxyEiQ5441YGTXWZeaK2UGtBa993+fj5LucSfLGXYS4a9gGuLG3hyaBrpfWyxtnnLqwm29ZpYjuEzz9/A0yNzRhbUvD/KsJcMe8lwS3WBcEs1Uek70FSF9z/UhSC3WJedtXgaP7q0gCvzUdOjEJFHcEt1CWpJzZgewSrsJcNerxlfjuFrL00hldl9i/XQ0FARJ7Kf13ulsw6evbKIv3j2uicW1Lw/yrCXDHvJzF+/aHqEHFxUu7QU5Kt1JdhLhr1uNbkSx1cGJ5FIZ3f8+KlTp4o8kd283OvqQhR//ux1PH9tGZm7OLxiIfD+KMNeMuwl09J71PQIObiodqk+w+NKSrCXDHvlmllL4IsDk9hIZnI+duXKFQMT2cuLvZKZLJ46P4uvn5vGeiL3e2wS748y7CXDXjIrsxOmR8jBRbVLUT/PgCTBXjLstbPF9SS+2D+BSOLWF6v19PQYmshOXus1vhTDX/7sBkamI6ZH2RHvjzLsJcNeMrXN3tuyz0W1S5XOhukRrMJeMuy1u5VYGl94cQIrG6lX37e4uGhwIvt4pVc66+D7o3P4ykuTnts6fTPeH2XYS4a9ZOKRVdMj5OCi2qW0CpkewSrsJcNee1tPZPCF/gksrCcBADU1NYYnsosXes2uJfDp525gaGINXj8YFe+PMuwlw14yFZVVpkfIwUW1Sz698wumaGfsJcNedxZLZfHFgQlMr8aRTvNkIBKme52bWMUX+iesOYkL748y7CXDXjLZjPd+q8VFtUsKHt+04jHsJcNe+5NMO/jywCSmV/jrUwnH2f8p4PMplXHwneEZ/GB0HlmPHNljP3h/lGEvGfaS0Y73fggJmB7AdhkVND2CVdhLhr32L+NoPD8Rg69mBQ8faDQ9jhWqqor/69PljRS++fI0lqKpO3+yx/D+KMNeMuwlEwxVmh4hB7dUuxRy4qZHsAp7ybCXTCgbxw8vLuDHlxdQCmeLLbTl5eWiXt+luXV89oVxKxfUAO+PUuwlw14yiQ3vHSWIW6pd2vDXmh7BKuwlw14y2736r69gPZHBO0+2I8DTmu+qq6urKNejtcZPriyi//pKUa6vUHh/lGEvGfaSqW5oMT1CDj7buFSXsftJotjYS4a9ZG7udXF2HV99aWrXsy8ScO3atYJfRzrr4Bsvz1i/oAZ4f5RiLxn2klmbnzI9Qg4uql1aCbaaHsEq7CXDXjK395pcieNzL4xjecPO3Q0K7cSJEwW9/Ghy85CHY/PRgl5PsfD+KMNeMuwl09xz2PQIObiodqk1NWN6BKuwlwx7yezUayWWxmdfGMfVhdJY2OXTuXPnCnbZ8+sJfO6FccxHkgW7jmLj/VGGvWTYS2bu2kXTI+TgotqlhVBx9kksFewlw14yu/VKZRw8OTSN568u8QWMNzlz5kxBLvfqQhRf7Pf22RHvBu+PMuwlw14yHUfuMz1CDi6qXWpNem+fHi9jLxn2ktmrl9bAs2NL+NbwDFIZM8dn9pqBgYG8X+ZL4yt4cmi6JBvz/ijDXjLsJTN7dcT0CDm4qHZpIdRtegSrsJcMe8nsp9fluSg+3z+BNUvO4ldIZ8+ezevlPXtlET+8uOD5043fLd4fZdhLhr1kOo6cND1CDi6qXWpNTpsewSrsJcNeMvvttbiexGdeuIFLc+sFnsjbBgcH83I5Wmt878Icnr9W3ONeFxvvjzLsJcNeMrNXL5geIQcX1S4tVHSaHsEq7CXDXjKSXsm0g2+9PIPvnp8tyV0V9uOhhx5yfRlZR+Pbw7N4eXLN/UAex/ujDHvJsJdM++F7TY+Qg4tqlxrTC6ZHsAp7ybCXzN30Oj8dwV89fwPzkUQBJvK20dFRV/8/lXHwtZemymaLP++PMuwlw14yS5OFP86+FBfVLkUCjaZHsAp7ybCXzN32Woml8bkXJzBwY6Wsjg5y+PDdH+c1nsriSwOTGF+O5XEib+P9UYa9ZNhLpr7Ne/ugc1HtUnW2PLbQ5At7ybCXjJteWUfjR5cW8NWXpsrmRYzT03e3D+f2SV3mymzrPu+PMuwlw14yG6uLpkfIwUW1S0lfpekRrMJeMuwlk49eN5Zi+MvnrqP/+jKyTmlvtW5qahL/n0gijS/2T5TlWSp5f5RhLxn2kglX15keIQcX1S4FdHls0coX9pJhL5l89UpnNX58eRF/9cI4ZtbieblML4rFZLturMZS+GL/JFbLZEv+7Xh/lGEvGfaSSSe999jMRbVLGsr0CFZhLxn2ksl3r8X1JD7/4gR+MDqPZCab18v2Ap9v/08ByxubC+pIvHyf+Hl/lGEvGfaSUT6/6RFyBEwPYDtHee+b6mXsJcNeMoXopTVwbmIVV+ajePxIM0521cHvK40nv2AwuK/PW4wm8ZXBSWwkS+8HCwneH2XYS4a9ZPwB7y1huaXapaBOmh7BKuwlw14yhewVTWbwzIU5/MXPruPi7HpJHCUkGo3e8XPmIwl8aYALaoD3Ryn2kmEvmVTce0ce4qLapbiv2vQIVmEvGfaSKUav1Vga3x6ewWeeH8e1xQ2rF9ctLS17fnwuksCXBicRT3FBDfD+KMVeMuwlU1nXYHqEHFxUu1STLf2ziOUTe8mwl0wxey2sJ/G1l6bwxf5JXF2IwrHwSCGTk5O7fmx2LYEvD04imS7Ps03uhPdHGfaSYS+Z9aU50yPk8N4OKZZZCzSbHsEq7CXDXjImek2txjF1Lo76yiBO9zbgVFcdwkE79o08duzYju+fXUvgKy9xQX073h9l2EuGvWQaO3pNj5CDW6pdak577yclL2MvGfaSMdlrLZ7Gjy4t4E9+fBXPjMxhMer9/SPPnz+f8z4uqHfH+6MMe8mwl8zixJjpEXJwS7VLixWdpkewCnvJsJeMF3qlsxrDU2sYnlpDR30Yx9pqcE9bDRqqKkyPluP06dO3vM0F9d68cPuyCXvJsJdM26F7TY+Qg1uqXWpNTpkewSrsJcNeMl7rNbuWwE8uL+J//PQ6Pv3cDTx/dclTZyIcGBh49d9cUN+Z125fXsdeMuwlMzs2YnqEHJ7dUq2UeheAfw/AD+BPtNb/0vBIO1oIdZsewSrsJcNeMl7utbCexMJ6Es+OLaGhKoiuhkp0b/1pqApCqeIf+/rs2bMAuKDeLy/fvryIvWTYS6bj6EnTI+Tw5KJaKeUH8J8BvAPAJIAXlVJPaq0992NJa3KKdwQB9pJhLxlbeq3G0liNpTEyHQEAVIf86GqoRGd9GI1VFWiqrkBdOAhfgU8yMzAwgO5jp7ig3idbbl9ewV4y7CUzOzaCk12Pmx7jFrsuqpVSdVrrSDGHucmjAK5ora9uzfI5AB8A4LlFNe8AMuwlw14ytvbaSGZxeS6Ky3OvnYwl4FNoqAqisboCjVUVqA4FUFXh3/qz+e9QwOdqC3fPPad42DwBW29fprCXDHvJeHFL9V77VL+klPpY0Sa5VTeAiZventx636uUUp9USvUrpfpnZmawuLiImZkZTE1NYWVlBWNjY4jH4xgZGYHjOBgcHATw2j6Eg4ODcBwHIyMjiMfjGBsbw8rKCqamprB9edevX0c0GsXo6CgymQyGhoZuuYzZsRE0p+bQnJqDT2dQn15C0EmgJrOKymwUldkoajKrCDoJ1KeX4NMZNKc2X927ve/U9t8tqRko7aAhvYCAk0JtZgXhbAxVmXVUZyIIZeOoSy/D76TRmJoHtEZrcvq2y5oGtEZjah5+J4269DJC2TiqMxFUZdYRzsZQm1lBwEmhIb0ApR20pGZ2nKdQX1NbcrLkvqZCfp+6EtdL7msq5PepJz5WMl9TY3wSi9EUVscv4oVryxh+eQjfHprC0z97CZ/5ySV8+pl+/Penh/Cpp1/CXz4ziE//zQi+8P1+fOG5MXztB8/j6y9N4uvP/ATfGJrGk8/8BN8ensE3vv9TfGd4Bt/8mxfwwpUZvDzwPB7vCuP1HQpv6PLj53pDeLQlizcdrsHD9TG86VgTHqhcweuONuNEcBEP9TbgHt887u2oxWH/Etpr/GjTKwjrZFnc9lqTUyX3NRXy+9Scmiu5r6mQ36eW5EzJfU2F/D5NXRoq2npv++/h4WEkk7sf2UntdjYwpdRBAP8OQA2Af6C1vrLrpeSZUuojAN6ltf7Nrbd/HcBjWuvf3unz+/r6dH9/f7HGe9XIdARPvzIJR3lyLxpP8ukMewmwlwx77U9rbQgfOdsD5WQQCoXycpmJdBaxVBYbyQxWYiksb6S2/k5jPZGGxSeefBVvXzLsJcNeMm873oQHD+59VthCUUoNaK37bn//rt89rfUNAB9SSr0bwE+VUi8CcG76+PsLMummKQA3H9W7Z+t9nlObWcNakAds3y/2kmEvGfa6s9baED58pgfhoB+XL1/FPffck5fLDQf9CAf9aKquQG9T1S0fS2cdrGykMLOWwPRqHFOrcawnMnm53mLi7UuGvWTYSyayOAMYWlTvZs8fiZRS9wL4XQA/xuYLB4u1492LAO5RSh3G5mL6YwB+tUjXLRLzV5sewSrsJcNeMuy1t5atBXVlxeYZH9vb24tyvUG/D211YbTVhXG6twEAEEmkMbUSx/RqHNcWN6xYZPP2JcNeMuwlU13vvR9A9nqh4r/E5osD/5HW+q+LNxKgtc4opX4bwFPYPKTep7TWuaf+8oCQk0DaFzY9hjXYS4a9ZNhrd623LagBYHV1FXV1dUbmqQsHUdcZxH2dddBaYzaSwOW5KK7MR7EWTxuZ6U54+5JhLxn2kknG1k2PkGOvLdUZAA9rrRPFGuZmWutvA/i2ieuWyHL/JxH2kmEvGfba2U4LagAIh73xBK6UQmd9JTrrK/Gm462YiyRwZT6KCzMRT23B5u1Lhr1k2EvGH8zP60Hyaa99qv/3Yg5CRET5t9uC2sva68JorwvjdUeaMbYQxUsTq5haiZsei4hoT/yxyCW/9s5WFBuwlwx7ybDXre60oE4kjPwict98PoV72mtxT3stFtaTODexiouzEaSzZg4lwtuXDHvJsJdMNr37oe1M2es41bQPSe7/JMJeMuwlw16vaau78xbqhoaG4g3kUmttCO842Y7ffOMRPH6kGRWB4j998fYlw14y7CUTqqo1PUKOfT8qKaVCSqnfVEr9llLKe1+JIVXZDdMjWIW9ZNhLhr027WdBDQBzc3NFmih/wkE/Xne0GZ94w2GcOdiIQIFP5X4z3r5k2EuGvWQ21pZMj5BDsvvHH2/9vQzgiwDelf9x7LMeqDc9glXYS4a9ZNgL6KwP44MPdyMcvPM+1AcOHCjCRIVRWeHHm4+34syBBjx3dRkj0xE4BT7DDG9fMuwlw14ydS2dpkfIIfn92QNa649rrX8HALdUb2lMe+8nJS9jLxn2kin3Xt2NlfjQmf0tqAHg0qVLBZ6o8GrDQbzjZDs+/rqDONpWU9DrKvfblxR7ybCXzMrMDdMj5LjjlmqlVNPWP31KqUYAausPAViqKM7JE0oFe8mwl0w59zrQVIX3ne4S7Wv8wAMPFHCi4mqsrsD7T3fhynwUP7w4X5BD8ZXz7etusJcMe8m0HsjP2WDzaT+PvgMA+gHUARjcerujkEPZpDXpybOnexZ7ybCXTLn2OtxSjfc/JFtQA8DAwECBJjLnWFsNfv11B/HQgQaoPG/+Kdfb191iLxn2kpkdGzE9Qo47bqnWWh8uxiC2Wgh1mx7BKuwlw14y5djraFsN3nN/BwJ++dEwzp49W4CJzAsF/HjrvW042VmHZy7MYT6Sn0NvlePtyw32kmEvmY6jJ02PkOOOj8JKqX+olGq46e1GpdRvFXQqi/AnSxn2kmEvmXLrdW9HLX7hgc67WlADpbml+mbtdWH8yiMH8MZ7WuDPw1FCyu325RZ7ybCXjBe3VO/nkfjvaa1Xt9/QWq8A+HsFm8gy/MlShr1k2EumnHo91NuAd9/f4WqxWKpbqm/m8yn0HWrCLz/Si8aqoKvLKqfbVz6wlwx7yVi5pRqAX6nX9kxTSvkBVBRuJLu0pGZMj2AV9pJhL5ly6fX4kWa85d5WKJc7DQ8NDeVpIu9rrwvjVx87iJNddXd9GeVy+8oX9pJhL5n56xdNj5BjP4vqvwbweaXU25RSbwPw2a33EYClIF+tK8FeMuwlU+q9lAJ+/kQbXne02fWCGgBOnTqVh6nsURHw4YlTHXj3Ax13dUbGUr995Rt7ybCXTEvvUdMj5NjPo8r/BuD7AP7B1p/vAfjHhRzKJvUZHldSgr1k2EumlHv5fQrvvr8Tp3sb8naZV65cydtl2eRERx1+7bGD6KyXnRa6lG9fhcBeMuwlszI7YXqEHPs5o2IFgJ9s/bmitU4UdiS7RP08A5IEe8mwl0yp9gr6Fd53ugsHm6vzerk9PT15vTyb1FcF8dG+XvxgdB7DU2v7+j+levsqFPaSYS+Z2mbvbdnfdUu1UiqglPpDAJMA/hzAXwCYUEr9oVLK3as9Skils2F6BKuwlwx7yZRir+qQHx8525v3BTUALC4u5v0ybeL3Kbz9ZDvedl/bvl7wWYq3r0JiLxn2kolHVk2PkGOv3T/+NYAmAIe11me11mcAHAXQAOD/LcJsVkirkOkRrMJeMuwlU2q9WmpD+NijB9Ah3E1hv2pqCntab1s82NOAXzzTjaqKvU/vXmq3r0JjLxn2kqmorDI9Qo69FtXvxebh9Na336G1jmBzv+r3FHowW/h01vQIVmEvGfaSKaVeh1uq8Ut9PagLF+4Xg+l0umCXbZuexir8ymMH0F63+w8wpXT7Kgb2kmEvmWwmY3qEHHstqrXWWu/wziyAnPeXK8UUIuwlw14ypdLrod4GvP90F0KBvbecuuU4TkEv3zZ14SA+2teDEx21O368VG5fxcJeMuwlox3v/RCy16J6RCn18dvfqZT6NQCjhRvJLhnuXi7CXjLsJWN7L6WAt9zbireeaIMvD2cAvJOqKu/9+tS0oN+Hdz/QiccON+V8zPbbV7Gxlwx7yQRDlaZHyLHX0T/+IYCvKKU+AWD7XLZ9ACoBfKjQg9ki5MSR9HvvG+tV7CXDXjI29woFfXjXqQ4caS3efs7Ly8tobGws2vXZ5PXHWlAbDuL7o/Nwtn5pa/PtywT2kmEvmcRGxPQIOXZdVGutpwA8ppT6eQDbZwj4ttb6e0WZzBIb/p1/TUg7Yy8Z9pKxtVdbXQjvfaAL9S5Poy3V1dVV1OuzzQM99agO+fGdV2aRyjjW3r5MYS8Z9pKpbmgxPUKOO578RWv9fa31f9z6wwX1beoyK6ZHsAp7ybCXjI297u+uxy/19RZ9QQ0A165dK/p12uZIaw0+fKYHVRV+K29fJrGXDHvJrM1PmR4hh/w8rXSLlWCr6RGswl4y7CVjU6+AT+EdJ9vxjpPtCPrNPBSfOHHCyPXapqM+jF9+pBeo55Z9CZvuj17AXjLNPYdNj5CDi2qXWlMzpkewCnvJsJeMLb3qK4P45Ud6cX+32TOonTt3zuj126ShqgKnwit7HnKPbmXL/dEr2Etm7tpF0yPk2M9pymkPCyFuuZBgLxn2krGh132ddXjLva0IBwt7uLz9OHPmjOkRrPJI31k8mMni6+emMbUSNz2O59lwf/QS9pLpOHKf6RFycEu1S61J7+3T42XsJcNeMl7uVVXhx/tOd+Jd93d4YkENAAMDA3f+JHrVwMAAQgE/PvRwNw635P+08aXGy/dHL2IvmdmrI6ZHyMFFtUsLoW7TI1iFvWTYS8arvY611eDXX3cQx9q89er+s2fPmh7BKtu9gn4f3ne6C8fbvfX99Bqv3h+9ir1kOo6cND1CDi6qXWpNTpsewSrsJcNeMl7rFQr68K77O/DeBztRVeG9ve0GBwdNj2CVm3v5fQrvvr8Dp7rqDE7kbV67P3ode8nMXr1geoQc3nuUt8xCRafpEazCXjLsJeOlXsfba/Gm45snEPGqhx56yPQIVrm9l2/rCC4VAR9eGl81MpOXeen+aAP2kmk/fK/pEXJwS7VLjekF0yNYhb1k2EvGC71aakP4yNke/MKDnZ5eUAPA6Oio6RGsslMvpRTecm8bHt3htOblzgv3R5uwl8zSpPeOs88t1S5FAjzFrwR7ybCXjMle4aAfrz/ajAe66+HzKWNzSBw+7L3jvHrZXr3ecKwFSgHPX10u4kTexscvGfaSqW/z3j7o3FLtUnV23fQIVmEvGfaSMdFLKeCh3gb8nTccwuneBmsW1AAwPc19OCXu1Ov1R1vwuqPNRZrG+/j4JcNeMhuri6ZHyMEt1S4lfZWmR7AKe8mwl0wxe/l9Cic769B3qBENVRVFu958amriLgsS++n1+JFm+JTCT6947wm/2Pj4JcNeMuFq771ImItqlwI6jSR4R9gv9pJhL5li9Ar6FU511+PswUbUeXyf6TuJxWJobOSvnPdrv70ePdwEnwJ+fLm8F9Z8/JJhL5l00nsnYOKi2iUNe37V6wXsJcNeMoXsVRHw4XRPA84cbPDk4fHuhs/HPQAlJL36DjVBKYUfXSrfF5/x8UuGvWSUzxsn0bpZaTwzGOQo731TvYy9ZNhLphC9ehorcaqrHsfaalARKK1FaDBo95b2YpP2OnuwEUoBf3OxPBfWfPySYS8Zf8B7S1jvTWSZoE4igSrTY1iDvWTYSyZfvWrDAZzsrMPJrjpr95fej2g0ipaWFtNjWONuep05sLm7SDkurPn4JcNeMql4zPQIObiodinuqzY9glXYS4a9ZNz0aq6pwMHmahxpqUZ3Q6VVR/G4W1xQy9xtrzMHGqE1ym5XED5+ybCXTGVdg+kRcnBR7VJNdg2rvlbTY1iDvWTYS0bSqyLgQ09jJQ63VONgczXqK8tvV4jJyUmcOHHC9BjWcNPr7MHNLdbltLDm45cMe8msL80BRzpMj3ELLqpdWgvwmKQS7CXDXjK79Qr4FFprQ2ivC6O1NoS2uhCaq0Pwl8HW6L0cO3bM9AhWcdtrc2Gt8aNL5XFUED5+ybCXTGNHr+kRcnBR7VJzeg6LFZ2mx7AGe8mw1/5VBHxoS8+jovUw6iqDqAsHUV8ZQH1lBZqrK8pidw6p8+fP4/Tp06bHsEY+ep09uHms63JYWPPxS4a9ZBYnxoBebx1rn4tql3gHkGEvGa/3CvgUQkEfQgE/KgI+VPh9CPgVlFLwKwW/D/ApBZ9SUGrz7IPb1Pbho279C2rrk/xKwefD1uW89ifo9yEU8CEU9CN8098Bvw8At7xKcEEtk69eZw82QevSP4611x+/vIa9ZNoO3Wt6hBxcVLvUmpzCQsh755/3KvaSMdmrIuBDU3UF6sJB1IYDW3+CqAsHUB0KIPTqQtY7BgYGcPbsWdNjWIO9ZPLZq+/Q5ha2Ul5Y8/Fehr1kZsdGcLLrcdNj3IKLapd4B5BhL5li9aoO+dFWu7W/cW0IrbUh1FcGX91qbAsuEGXYSybfvfoONUED+EmJLqz5eC/DXjIdR0+aHiGHtzYzWag1OWV6BKuwl0yhelUEfDjaVoO33deGT7zhMD75pqP44MPdeMOxFtzTXouGqgrrFtTA5pZE2j/2kilEr0cONeENx0rz0IZ8vJdhL5nZsRHTI+TglmqX+JOlDHvJ5LNXS20IR1uqcaC5Cp31lSV55AtueZVhL5lC9Xr08OauID+9UlpbrPl4L8NeMtxSXYKaU3OmR7AKe8m47VVV4cfDBxrwtx4/gF9//CBef6wFPY1VJbmgBoDh4WHTI1iFvWQK2evRw014/dHSOqQaH+9l2EtmYfyy6RFycEu1SyvB0noQLDT2krmbXn6fwpHWatzXWYdDzdUlu4DeyfHjx02PYBX2kil0r8eObN7fnx1bKuj1FAsf72XYS6ax86DpEXJwS7VLtZk10yNYhb1kJL0qAj48cqgJf/fnDuO9D3bhaGtNWS2oAWB8fNz0CFZhL5li9HrsSHPJ7GPNx3sZ9pKJLM6YHiEHt1S7FPNXmx7BKuwls59eVRV+nDnYiAe66xEO+oswlXe1t7ebHsEq7CVTrF6PHm6CT9l/uD0+3suwl0x1vfe27HNR7VLISSDtC5sewxrsJbNXr7rKIPoONuJkVx2CHjtetCmrq6uoq6szPYY12EummL36DjVBKYUfXVooyvUVAh/vZdhLJhlbNz1CDi6qXcoqJpRgL5mdelUEfHjscBMe6m3w3MlXTAuH+YQkwV4yxe519mAjlAL+5qKdC2s+3suwl4w/GDI9Qg5+B4ksoRRwf1c9Xne0GdUh3nWJysGZA43wKYUfXpyH1qanIaK98JnZJb/OmB7BKuwls92rp7ESb763FW213LK4l0QiYXoEq7CXjKleD/U2wKeA74/atbDm470Me8lk00nTI+TgotqlJPd/EmEvGX+4Gu892YljbTVWnuGw2BoaGkyPYBX2kjHZ68GeBgT9Pnz3/BwcS1bWfLyXYS+ZUFWt6RFycIdMl6qyG6ZHsAp77d+Jjlo83hnAPe21XFDv09wcT54gwV4ypnvd11mHX3iww5pDZfLxXoa9ZDbWvHc8d26pdmk9UG96BKuw151VVfjxtvvacKytFslkk+lxrHLgwAHTI1iFvWS80OtYWy0+8JAP3xiaRjrr7S3WfLyXYS+ZupZO0yPk4JZqlxrT3vtJycvYa2/3dtTi4687hGNtm7/WunTpkuGJ7MJeMuwl45VeB5ur8aEzPagIePspnI/3MuwlszJzw/QIOZS2ZN+svfT19en+/v6iX+/IdARPnZ8t+vVS6QkFfXj7fe043u69fcSIyJvmIgl89aUpxFNZ06MQFd0TpzpwssvMcfaVUgNa677b3+/tH3Mt0JqcMj2CVdgrV1tdCH/r0YM7LqgHBgYMTGQv9pJhLxmv9WqvC+OjZ3tQG/bmnpx8vJdhL5nZsRHTI+TglmoXuKWa3Hqwpx5vPt7Kk7gQ0V1bT6TxtXPTWFz33iHGiAqFW6pLEH+ylGGvTUG/wrvu78Db7mvfc0HttS1jXsdeMuwl49VeteEgPnq2Bz2NlaZHuQUf72XYS4ZbqguEW6rJJs01FfiFBzrRXOO9U6wSkb2yjsZT52dxcXbd9ChEBcct1SWoJTVjegSrlHuvo201+NgjB/a9oB4aGirwRKWFvWTYS8brvfw+hXff34EzBxtNjwKAj/dS7CUzf/2i6RFyePPVDRZZCrabHsEq5dzrkUNNeMOxZtGJXE6dOlXAiUoPe8mwl4wNvZRSePPxVtSEAvjx5QWjpzUv58f7u8FeMi29R02PkINbql2qz/C4khLl2MvvU3jHyXb83D0t4jMjXrlypUBTlSb2kmEvGZt6nT3YiPef7jJ6LOtyfLx3g71kVmYnTI+Qg4tql6J+ngFJotx6hYN+fOjhbtzffXdfd09PT54nKm3sJcNeMrb1OtJag4890ouGqqCR6y+3x3u32Eumttl7W/Y9t6hWSv1TpdSUUurc1p/3mJ5pL5XOhukRrFJOvRqrgvjYI73obaq668tYXFzM40Slj71k2EvGxl7NNSH8yqMHcLD57h+H7lY5Pd7nA3vJxCOrpkfI4blF9ZZ/q7V+aOvPt00Ps5e04hEcJMqlV3djJT726AE0Vle4upyampo8TVQe2EuGvWRs7RUO+vHBh7rx8IGGol5vuTze5wt7yVRUFv8HxTvx6qLaGj7N08NKlEOvo201+MWHuxEO+l1fVjqdzsNE5YO9ZNhLxuZePp/CW+5twztPtSPgk722466vswwe7/OJvWSymYzpEXJ4dVH920qpl5VSn1JK7XhsIKXUJ5VS/Uqp/pmZGSwuLmJmZgZTU1NYWVnB2NgY4vE4RkZG4DgOBgcHAbx28P7BwUE4joORkRHE43GMjY1hZWUFU1NT2L6869evIxqNYnR0FJlM5tXDKW1fxuzYCBQ0mlNz8OkM6tNLCDoJ1GRWUZmNojIbRU1mFUEngfr0Enw6g+bUHIDXDvK+/XdLagZKO2hILyDgpFCbWUE4G0NVZh3VmQhC2Tjq0svwO2k0puYBrdGanL7tsqYBrdGYmoffSaMuvYxQNo7qTARVmXWEszHUZlYQcFJoSC9AaefVQ/jcPk+hvqYKJ1FyX9PN36f7mv04WR1HOpXMy21vcnJyx9ve9t/Dw8NIJpO4fPkyIpEIxsfHMT8/j/n5eYyPjyMSieDy5ctIJpMYHh7e8TKGhoaQyWQwOjqKaDSK69evG7k/5eNr2n4hWSl9TYX8Ps3MzJTc11TI71M0GrX+a6rNrOGJo5VoCyYL/vykoK19LC/F56dS+5pikWVj96fdGDn5i1LqGQAdO3zoDwA8B2ARgAbwzwF0aq0/sdflmTz5yw9fvoak31tnsfKyUDZesr0ePdyE1x+VHTLvTlZWVtDY6I1jztqAvWTYS6aUeqUyDn5wcR4j05GCXUcpP94XAnvJvPlgFc4cN/Pi4d1O/mLkONVa67fv5/OUUn8M4JsFHseVkMM7gUSp9nrzva04cyD/T7bLy8sl8yReDOwlw14ypdSrIuDDE6c6cLC5Ct+7MI9Uxsn7dZTq432hsJdMYqNwPxDeLc/t/qGU6rzpzQ8BeMXULPux4a81PYJVSq2XTym8+4GOgiyoAaCrq6sgl1uq2EuGvWRKsdeJjjr8rccOoL0unPfLLrXH+0JjL5nqhhbTI+Tw3KIawB8qpYaVUi8DeCuAf2R6oL3UZVZMj2CVUuoV8Cm873QnTnTUFew6rl27VrDLLkXsJcNeMqXaq6GqAr/8SC8eO9wEfx5fxFhKj/fFwF4ya/NTpkfIYWSf6nwzuU/1U6/MAHnch7bkaV0SvYJ+hfef7saBAh/71XEc+Hxe/NnXm9hLhr1kyqHXwnoSz1yYw+xawv2FlcjjfdGwl8g7T7bhVHeDkevebZ/q0n50KILWrVe90v6UQq+KgA8ffLjwC2oAOHfuXMGvo5Swlwx7yZRDr9baED72SC/ecm+r61Ocl8LjfTGxl8zctYumR8jBLdUujExH8NT52aJfL5kTCvrwoYe70VnPF5MQUWmLJNL4/oV5XFvkmf7Ie5441YGTXYXb/XIv3FJdINvHUqT9sblXZYUfHznbU9QF9faxMWl/2EuGvWTKrVddOIgPPtyN9z7YicaqoPj/2/x4bwJ7ycxeHTE9Qg5uqXaBW6rLR3XIj18804OWGp5GlojKj+NovDK9huevLiOa9N6Z7Kj8cEt1Cdo+GxHtj429akIBfORsr5EF9faZoWh/2EuGvWTKuZfPp/BgTwP+9hsO4Q3HWhAK3nn5YOPjvUnsJTN79YLpEXJwS7ULPPrHXbDs1c2bC+oeNFZXGLn+cjjaQD6xlwx7ybDXa+KpLPpvLGN4ag3J9C4njrHs8d449hLh0T9KUGN6wfQIVrGpV23Y7IIaAEZHR41dt43YS4a9ZNjrNZUVfrzxnlb85s8dwVtPtO24z7VNj/dewF4yS5PeO268kdOUl5JIoDROWVsstvTaXlA3VJlbUAPA4cOHjV6/bdhLhr1k2CtXRcCHh3obcLqnHtcWN/DS+CrGl2MA7Hm89wr2kqlv6zY9Qg5uqXapOrtuegSr2NDLKwtqAJie5j52Euwlw14y7LU7pRSOtNbgw2d78PHXHcRjh5vQ4o+ZHssqNjw/esnG6qLpEXJwS7VLSR+PVyzh9V5eWlADQFNTk+kRrMJeMuwlw17701wTwuuPhXBfsx9pfyUuzUVxaW4da/G06dE8zevPj14TrjZz5I+9cFHtUkCnkQTvCPvl5V5eW1ADQCwWQ2MjfyW4X+wlw14y7CUTi8XQ3d2Itrowfu6eFsxFErixFMPUagzTqwmkMru8wLFMefn50YvSybjpEXJwUe2SBl+pK+HVXl5cUAPgkQaE2EuGvWTYS+b2Xu11YbTXhQE0wXE05teTmFyJYWo1jrlIAhvJrJlBPcKrz49epXx+0yPk4KLaJUd575vqZV7stX3YPK8tqAEgGJSfxaycsZcMe8mwl8xevXw+hY76MDrqw9g+LlkincXSRgrL0RSWNpJY3khhLZ7GRjKDdNb+w//eiRefH73MH/DeEtZ7E1kmqJNIoMr0GNbwWi8vL6gBIBqNoqWlxfQY1mAvGfaSYS8Zaa9w0I/uhkp0N+TuApHMZBFLZhFNZhBLZRFPZ5HOOkhnHKSyDtJZvfl21oHWgIaG4wCO1q++vdtpOTTw2v/ZekMDyGQ1so5G2nFe/Xchee350etSce+9EJaLapfivmrTI1jFS71qQgF82PBxqO+ET+Ay7CXDXjLsJZPPXqGAH6GA3+jjtbO1wE5lHMRTWcS2/sTTmwv9aCKDlVgaK7HUXe0v7qXnRxtU1jWYHiEHF9Uu1WTXsOprNT2GNbzSqzrkx4fP9qDJwwtqAJicnMSJEydMj2EN9pJhLxn2kim1Xj6fQsi3ubivDe+9K9BGMoOVWAqrsTQWo0nMriUwv57cc2u3V54fbbG+NAcc6TA9xi24qHZpLdBsegSreKFXdciPD5/x/oIaAI4dO2Z6BKuwlwx7ybCXTDn3qg4FUB0KoOemg8Vksg5mIwnMrCUwvRrHzFoC8dRrL870wvOjTRo7ek2PkIMvZXapOT1negSrmO5VHfLjI2d70VwTMjrHfp0/f970CFZhLxn2kmEvGfa6VcDvQ09jFR451IQPPNSNT77xCD7a14OHDzSgNhww/vxom8WJMdMj5FB6tz33LdLX16f7+/uLfr0j0xE8dX626NdLd2d7QW3DFmoiIiov85EErsxHcXk+iuWNlOlxPO+JUx042WXmBDBKqQGtdd/t7+eWapdak1OmR7CKqV62LqgHBgZMj2AV9pJhLxn2kmEvmYnL5/H6Yy34jdcfwkf7enBvRy38Ph67ejezYyOmR8jBLdUucEu1HWxdUBMRUXnbSGYwPLWGV6bWsJ7ImB7HU7ilugRxS7VMsXvZvqDmlh4Z9pJhLxn2kmEvmZ16VYcCePxIMz7xhsN43+lOtNba8XqgYuCW6gLhlmrayfZxqG1dUBMREd1Ma40r81H87OoSlqLlvd81t1SXoOYUX60rUaxeteEAPtpn/4J6eHjY9AhWYS8Z9pJhLxn2ktlPL6UU7mmvxa8/fhBPnOpAQ9Xex8suZQvjl02PkIPHqXZpJcjjSkoUo1d9ZRAfPtuD+kr7H2yOHz9uegSrsJcMe8mwlwx7yUh6KaVwsqsOJzpqcX46gmfHFhG76ZjX5aCx86DpEXJwS7VLtZk10yNYpdC9GquC+EhfaSyoAWB8fNz0CFZhLxn2kmEvGfaSuZtePp/CAz31+I3XH8KDPfVQZXSwkMjijOkRcnBR7VLMX216BKsUsldzTQU+0teLujucPtYm7e3tpkewCnvJsJcMe8mwl4ybXuGgH2+7rx2//Ehv2byYsbree3sKcFHtUshJmB7BKoXq1VIbwkfO9qAmVFp7NK2urpoewSrsJcNeMuwlw14y+ejVWV+JX330AN50vBUVgdJe4iVj66ZHyFHaxYsgq0prEVdohejVUR/GR870oKqi9L4X4XDY9AhWYS8Z9pJhLxn2kslXL59P4ezBRnz8dQdxqKUqL5fpRf6g97bIc1FNVjvQVIVfPNONygq/6VGIiIg8ozYcxAcf6sab721FgGdmLAouql3ya57hSCKfvY611eADD3UhFCjdBXUiwd2LJNhLhr1k2EuGvWQK0UsphTMHGvHLj/aiucbuQ8zeLptOmh4hBxfVLiV9/PWWRL563d9dj194oBMBf2nfhBsaGkyPYBX2kmEvGfaSYS+ZQvZqqw3jVx49gId6C3cdxRaqqjU9Qo7SXpEUQVV2w/QIVslHr75DjXj7fW3wlcGvs+bmeHIhCfaSYS8Z9pJhL5lC9wr6fXjriTZ84KGukthlcmNtyfQIObiodmk9UG96BKu47fXGe1rwxntaocrkYJwHDhwwPYJV2EuGvWTYS4a9ZIrV60hrDX71sQNoq/PeC/0k6lo6TY+Qg4tqlxrT3vtJycvutpffp/DEqQ70HWrK80TedunSJdMjWIW9ZNhLhr1k2EummL3qwkH8cl8v7uusK9p15tvKzA3TI+RQWmvTM7jW19en+/v7i369I9MRPHV+tujXW27CQT/ed7oTPY2le2ggIiIiEwbHV/DjS4twLFsPPnGqAye7zPxQoJQa0Fr33f5+bql2qTU5ZXoEq0h7NVQF8bFHest2QT0wMGB6BKuwlwx7ybCXDHvJmOp15kCjlYemnR0bMT1CDm6pdoFbqguru6ES7ztdGi+oICIi8rJIIo0nz01jYd17h6rbCbdUlyBuqZbZb68THbVW/uScb9zSI8NeMuwlw14y7CVjulddOIhf6uu15iyM3FJdINxSXTqUAh4/0ozHDjeVzRE+iIiIvMJxNL43Oo9XptZMj7InbqkuQS2pGdMjWGWvXuGgHx94qBuPH2nmgnrL0NCQ6RGswl4y7CXDXjLsJeOVXj6fwjtOtuP1R5tNj7Kn+esXTY+QI2B6ANstBdtNj2CV3Xq11YXw3ge6UF8VLPJE3nbq1CnTI1iFvWTYS4a9ZNhLxmu9HjvSjNpwEM9cmEPW8d5eDS29R02PkINbql2qz/A41RI79TrVVYdf6uvlgnoHV65cMT2CVdhLhr1k2EuGvWS82OtkVx0+9HA3QkHvLRdXZidMj5DDe5UsE/XzjIoSN/fy+xTefl873nGyHUE/b4o76enpMT2CVdhLhr1k2EuGvWS82qu3qQofPduL6pC3DhxQ2+y9PQW4knGp0tkwPYJVtns111TgY4/04oGeeu4/vYfFxUXTI1iFvWTYS4a9ZNhLxsu9WmtD+OjZXtSGvbPXcDyyanqEHFxUu5RWIdMjWCXjC+HMwUb86qMH0FYXNj2O59XU1JgewSrsJcNeMuwlw14yXu/VWF2BX36kF03VFaZHAQBUVHrv0H9cVLvk01nTI1ijNhzAG4404M3HWxHg7h77kk6nTY9gFfaSYS8Z9pJhLxkbetWGg/hoXw/a6sxvUMxmMqZHyMGVjUsK3ntFrBed7KrDrz1+EE18MaKI4zimR7AKe8mwlwx7ybCXjC29qioC+PCZHnQ3VBqdQzve26jJRbVLGcVF4l5qwwG873QXnjjVgXDQj6oq7/26xsvYS4a9ZNhLhr1k2EvGpl7hoB8fOtNt9OyLwZDZRf1OuKh2KeTETY/gSQGfwmNHmvAbrz+EY22v7Se2vLxscCr7sJcMe8mwlwx7ybCXjG29gn4f3n+6G0daq41cf2IjYuR69+Kdl3FaasNfa3oEzznSWo23HG/b8bjTXV1dBiayF3vJsJcMe8mwlwx7ydjYy+9TeO+DXfjOKzO4PBct6nVXN7QU9fr2g1uqXarLrJgewTMaqoL44MPd+MBD3bueyOXatWtFnspu7CXDXjLsJcNeMuwlY2svv0/hPfd34nh7cTcyrs1PFfX69kNpbf8L7fr6+nR/f3/Rr3dkOoKnXpkByvw4y3WVQTx6qAknu+rg9+3dwnEc+Hz8WW6/2EuGvWTYS4a9ZNhLxvZejqPx3ZFZXJhZL8r1vfNkG051NxTlum6nlBrQWvfd/n57v3se0ZqaMT2CMQ1VQbzzVDv+9usP4YGe+jsuqAHg3LlzhR+shLCXDHvJsJcMe8mwl4ztvXw+hSdOdeBkV11Rrm/u2sWiXI8Et1S7MDIdwVPnZ4t+vaY1VVfg0cNNuLe9Fr59LKSJiIioPGit8cyFebwytVbQ6ynmAv523FJdIK1J7+3TUwg+pXBPew0+9HA3fv3xg7ivs+6uFtQDAwMFmK50sZcMe8mwlwx7ybCXTKn0Ukrh7fe14YHu+oJez+zVkYJe/t3glmoXymFLdVN1Be7vrsN9nXWoquDBYoiIiOjOtNb43oV5DBdoizW3VJeg1uS06RHyrq4yiNO99filR3rx8dcdxNmDTXlbUA8ODublcsoFe8mwlwx7ybCXDHvJlFovpRTedl8b7i/QFuvZqxcKcrlucEu1C6Vy9A+lgK6GShxuqcbhlmo0V1dAFehrsv3VzcXGXjLsJcNeMuwlw14ypdqrUPtY8+gfJagxvWB6BLGKgA+9TVV45FAT3vtgJ/7+m4/il/p68cihJrTUhAq2oAaA0dHRgl12KWIvGfaSYS8Z9pJhL5lS7bW9j/WpPO+qsTTpveN6cydZlyKBRtMj7Koi4ENdZRD1W3/aakNorwujsSpY0IXzXg4fPmzkem3FXjLsJcNeMuwlw14ypdxLKYV3nGwHAJyfzs/pxevbuvNyOfnERbVL1dl1RHxN4v+305pWQUEpQN30OUop+H0KAZ+CTykE/K+9HQ76EQr4UVnhRzjgQzi4+e+68OYiOhz0GVs872Z6ehpHjx41PYY12EuGvWTYS4a9ZNhLptR75XthvbG6CKDN9eXkExfVLrTVhXD/kS7U1jUgFPShwu9DKOBDRcAHv29z8etT2382T+XptUVusTU1yX8AKWfsJcNeMuwlw14y7CVTDr22F9Yam69LcyNcbebIH3vhPtUutNSE0FPrx8muOhxtrUFvUxXa6sJoqKpAbTiIqooAwkE/KgI+BPze22psQiwWMz2CVdhLhr1k2EuGvWTYS6Zceiml8M6T7biv092iOJ2M52mi/OGi2qVSfKVuIbGXDHvJsJcMe8mwlwx7yZRTL6UUnjjVjvs6a+/+Mnz+PE6UH+XzHSyQYDBoegSrsJcMe8mwlwx7ybCXDHvJlFuvzYV1x10vrP0B7+3BzEW1S9Fo1PQIVmEvGfaSYS8Z9pJhLxn2kinHXpu7gnTgRId8YZ2Ke293GS6qXWppaTE9glXYS4a9ZNhLhr1k2EuGvWTKtZfPt7nFWrqwrqxrKMxALhhZVCulPqqUOq+UcpRSfbd97PeVUleUUheVUk+YmE9icnLS9AhWYS8Z9pJhLxn2kmEvGfaSKede2wtrya4g60tzBZzo7hg5TblS6j4ADoA/AvC7Wuv+rfefBPBZAI8C6ALwDIDjWuvsXpdn6jTlAJDJZBDw4H49XsVeMuwlw14y7CXDXjLsJcNem6c0/+7I3L4Ot/eOEy24v9fMYQh3O025ke+e1voCgJ0OMfcBAJ/TWicBXFNKXcHmAvtnxZ1w/z74H36A6uoa02NYY2Mjyl4C7CXDXjLsJcNeMuwlw16vWYmlsJHcc3sqHq5eAwwtqnfjtX2quwFM3PT25Nb7ciilPqmU6ldK9c/MzGBxcREzMzOYmprCysoKxsbGEI/HMTIyAsdxMDg4CAAYGBgAAAwODsJxHIyMjCAej2NsbAwrKyuYmprC9uVdv34d0WgUo6OjyGQyGBoauuUyBgYGUF1dg42NDWjtIB6PI5vNIplMIp1OI51OI5lMIpvNIh6PQ2sHGxsbAIBodP2Wvzc2otBaIxaLIZvNIpFIIJ1OI5VKIZVKIpPJIJGIw3GcV49luf2ihtcua/PtWCwGx3GQSMSRyWSQSiWRSqWQTqeRSCSQzWYRi8WgtcbGxu2XsT1PYb6miopQyX1Nhfw+KeUrua+pkN+n7d+8ldLXVMjvk9/vL7mvqZDfp3C4suS+pkJ+n6qra0ruayrk96mqqqrkvqa7/T4FsklUh/wI6iQAjYBOQcGBX6fh01n4dQaVtQ1FXe8BwPDwMJLJJHZTsN0/lFLPAOjY4UN/oLX++tbn/BC37v7xnwA8p7X+9NbbfwrgO1rrL+11XSZ3/xgYGMDZs2eNXLeN2EuGvWTYS4a9ZNhLhr1k2OtWWmt8f3QeL0+u7fjx0+Fl/PwbHy/yVJt22/3DyD7Vr1557qL69wFAa/3/bL39FIB/qrXec/cPk4tqIiIiIso/rTV+eHEB5yZWcz72xKkOnOwyc6ry3RbVXtv940kAH1NKhZRShwHcA+AFwzPtaftXArQ/7CXDXjLsJcNeMuwlw14y7JVLKYW3nmjDI4dy952eHRsxMNHeTB3940MA/iOAVgCrAM5prZ/Y+tgfAPgEgAyA39Faf+dOl8ct1URERESl6/mrS3h2bOnVt7mleovW+qta6x6tdUhr3b69oN762L/QWh/VWt+7nwW1acPDw6ZHsAp7ybCXDHvJsJcMe8mwlwx77e2xI814872tr769MH7Z4DQ7M7pPdb6Y3FKdTCYRCoWMXLeN2EuGvWTYS4a9ZNhLhr1k2Gt/XplawzMX5vDz9zThwYNmzkLpqS3VpWR8fNz0CFZhLxn2kmEvGfaSYS8Z9pJhr/25v7se77q/A9GlWdOj5CjvU/fkQXt7u+kRrMJeMuwlw14y7CXDXjLsJcNe+3eiow6r4V7TY+TglmqXVldXTY9gFfaSYS8Z9pJhLxn2kmEvGfaSiUR2Pn61SVxUuxQOh02PYBX2kmEvGfaSYS8Z9pJhLxn2kvFiLy6qiYiIiIhc4qLapUQiYXoEq7CXDHvJsJcMe8mwlwx7ybCXjBd7cVHtUkNDg+kRrMJeMuwlw14y7CXDXjLsJcNeMl7sxaN/uPRrn+pHZWWl6TGsEY/H2UuAvWTYS4a9ZNhLhr1k2Evm//75FtTVmTmj4m64pdqlcJgHapdgLxn2kmEvGfaSYS8Z9pJhL5kDBw6YHiEHt1S79H+8oQ4PPPCA6TGsMTw8zF4C7CXDXjLsJcNeMuwlw14yXuzF05QTEREREe0TT1NeIAMDA6ZHsAp7ybCXDHvJsJcMe8mwlwx7yXixF7dUExERERHtE7dUF4gXf1LyMvaSYS8Z9pJhLxn2kmEvGfaS8WIvbqkmIiIiItonbqkukKGhIdMjWIW9ZNhLhr1k2EuGvWTYS4a9ZLzYi1uqXcpkMggEeGTC/WIvGfaSYS8Z9pJhLxn2kmEvGZO9uKW6QK5cuWJ6BKuwlwx7ybCXDHvJsJcMe8mwl4wXe3FR7VJPT4/pEazCXjLsJcNeMuwlw14y7CXDXjJe7MVFtUuLi4umR7AKe8mwlwx7ybCXDHvJsJcMe8l4sRcX1S7V1NSYHsEq7CXDXjLsJcNeMuwlw14y7CXjxV5cVLuUTqdNj2AV9pJhLxn2kmEvGfaSYS8Z9pLxYi8uql1yHMf0CFZhLxn2kmEvGfaSYS8Z9pJhLxkv9uKxW1z6X752FYHAuOkxrLF5CBz22i/2kmEvGfaSYS8Z9pJhL5n/9ksnTI+Qg1uqXcpkvPfrBy9jLxn2kmEvGfaSYS8Z9pJhL5nl5WXTI+TglmqXPvfJ16GystL0GNaIx+PsJcBeMuwlw14y7CXDXjLsJROPx02PkINbql26du2a6RGswl4y7CXDXjLsJcNeMuwlw14yXuzF05S75DgOfD7+bLJf7CXDXjLsJcNeMuwlw14y7CVjshdPU14g586dMz2CVdhLhr1k2EuGvWTYS4a9ZNhLxou9uKWaiIiIiGifuKW6QAYGBkyPYBX2kmEvGfaSYS8Z9pJhLxn2kvFiL26pJiIiIiLaJ26pLpDBwUHTI1iFvWTYS4a9ZNhLhr1k2EuGvWS82Itbql3iq3Vl2EuGvWTYS4a9ZNhLhr1k2EuGR/8oQaOjo6ZHsAp7ybCXDHvJsJcMe8mwlwx7yXixFxfVLh0+fNj0CFZhLxn2kmEvGfaSYS8Z9pJhLxkv9uKi2qXp6WnTI1iFvWTYS4a9ZNhLhr1k2EuGvWS82IuLapeamppMj2AV9pJhLxn2kmEvGfaSYS8Z9pLxYi8uql2KxWKmR7AKe8mwlwx7ybCXDHvJsJcMe8l4sRcX1S7xlboy7CXDXjLsJcNeMuwlw14y7CXjxV7em8gywWDQ9AhWYS8Z9pJhLxn2kmEvGfaSYS8ZL/YqieNUK6UWANwwdPUtABYNXbeN2EuGvWTYS4a9ZNhLhr1k2EvGZK+DWuvW299ZEotqk5RS/TsdAJx2xl4y7CXDXjLsJcNeMuwlw14yXuzF3T+IiIiIiFziopqIiIiIyCUuqt3776YHsAx7ybCXDHvJsJcMe8mwlwx7yXiuF/epJiIiIiJyiVuqiYiIiIhc4qKaiIiIiMglLqrvQCn1UaXUeaWUo5Tqu+1jv6+UuqKUuqiUemKX/39YKfX81ud9XilVUZzJvWHraz639ee6UurcLp93XSk1vPV5/UUe0zOUUv9UKTV1U7P37PJ579q63V1RSv1esef0CqXUv1ZKjSqlXlZKfVUp1bDL55X17etOtxelVGjrvnpl6/HqkIExPUEp1auU+oFSamTrsf9/3eFz3qKUWrvpfvpPTMzqFXe6f6lN/2Hr9vWyUuqMiTm9QCl17023m3NKqYhS6ndu+5yyvn0ppT6llJpXSr1y0/ualFJPK6Uub/3duMv//Y2tz7mslPqN4k29RWvNP3v8AXAfgHsB/BBA303vPwlgCEAIwGEAYwD8O/z/LwD42Na//xuAf2D6azLY8t8A+Ce7fOw6gBbTM5r+A+CfAvjdO3yOf+v2dgRAxdbt8KTp2Q31eieAwNa//xWAf7XL55Xt7Ws/txcAvwXgv239+2MAPm96boO9OgGc2fp3LYBLO/R6C4Bvmp7VK3/udP8C8B4A3wGgADwO4HnTM3vhz9Z9cxabJxK5+f1lffsC8CYAZwC8ctP7/hDA7239+/d2eqwH0ATg6tbfjVv/bizm7NxSfQda6wta64s7fOgDAD6ntU5qra8BuALg0Zs/QSmlAPw8gC9tvevPAXywgON61laLXwLwWdOzlIBHAVzRWl/VWqcAfA6bt8eyo7X+rtY6s/XmcwB6TM7jUfu5vXwAm49PwObj1du27rNlR2s9o7Ue3Pr3OoALALrNTmW9DwD4C73pOQANSqlO00N5wNsAjGmtTZ0R2pO01j8CsHzbu29+jNptLfUEgKe11sta6xUATwN4V6Hm3AkX1XevG8DETW9PIveBtxnA6k1P+jt9Trl4I4A5rfXlXT6uAXxXKTWglPpkEefyot/e+hXpp3b5Fdd+bnvl6BPY3Bq2k3K+fe3n9vLq52w9Xq1h8/GrrG3tBvMwgOd3+PDrlFJDSqnvKKVOFXcyz7nT/YuPWTv7GHbf0MTb163atdYzW/+eBdC+w+cYv50FinllXqWUegZAxw4f+gOt9deLPY9t9tnvV7D3Vuqf01pPKaXaADytlBrd+mm15OzVC8B/BfDPsfkk9c+xucvMJ4o3nffs5/allPoDABkAn9nlYsrm9kX5oZSqAfBlAL+jtY7c9uFBbP7KPrr1uoevAbinyCN6Ce9fQluvr3o/gN/f4cO8fe1Ba62VUp48HjQX1QC01m+/i/82BaD3prd7tt53syVs/porsLX1Z6fPsd6d+imlAgB+EcDZPS5jauvveaXUV7H5K+uSfFDe7+1NKfXHAL65w4f2c9srGfu4ff1tAO8F8Da9tWPdDpdRNrevHezn9rL9OZNb99d6bD5+lSWlVBCbC+rPaK2/cvvHb15ka62/rZT6L0qpFq31YjHn9Ip93L/K6jFrn94NYFBrPXf7B3j72tGcUqpTaz2ztevQ/A6fM4XN/dG39WDz9XBFw90/7t6TAD629ar5w9j8KfKFmz9h6wn+BwA+svWu3wBQjlu+3w5gVGs9udMHlVLVSqna7X9j88Vnr+z0uaXutv0MP4SdO7wI4B61eWSZCmz+CvHJYsznNUqpdwH4xwDer7WO7fI55X772s/t5UlsPj4Bm49X39/tB5RSt7Uv+Z8CuKC1/v92+ZyO7X3OlVKPYvO5tCx/CNnn/etJAB/fOgrI4wDWbvpVfrna9be3vH3t6ObHqN3WUk8BeKdSqnFr18l3br2veIr5qkgb/2BzYTMJIAlgDsBTN33sD7D5qvqLAN590/u/DaBr699HsLnYvgLgiwBCpr8mAw3/DMDfv+19XQC+fVOjoa0/57H5a33jcxtq9ZcAhgG8jM0Hkc7be229/R5sHpVgrMx7XcHmPnTntv5sH8GCt69bO+XcXgD8M2z+MAIA4a3Hpytbj1dHTM9ssNXPYXP3q5dvul29B8Df334cA/DbW7elIWy+QPb1puc22GvH+9dtvRSA/7x1+xvGTUfSKsc/AKqxuUiuv+l9vH291uKzAGYApLfWX38Xm6/x+B6AywCeAdC09bl9AP7kpv/7ia3HsSsA/k6xZ+dpyomIiIiIXOLuH0RERERELnFRTURERETkEhfVREREREQucVFNREREROQSF9VERERERC5xUU1EZDmlVI9S6utKqctKqTGl1L/fOia1m8v0b512+k03ve+7SqmPup+YiKj0cFFNRGSxrZNEfAXA17TW9wA4DqAGwL9wc7la6yyA3wLwn5RSQaXUrwBwtNZfdDszEVEp4nGqiYgsppR6G4D/U2t98xblOgDXsHlq6CSAfwXgXQAcAH+stf6PSqnr2DwJx56nPlZK/RGARQC/CuAdWusrBflCiIgsFzA9ABERuXIKwMDN79BaR5RS4wCOAXgDgEMAHtJaZ5RSTcLL/31snrXy33FBTUS0O+7+QURU2t4O4I+01hkA0Fov3/SxHyilhpRSn1ZKVe7y/98EYA3A/QWek4jIalxUExHZbQTA2ZvfsbX7xwEAd9qy/FYADwHQAH799g8qpaoB/CGAnwfQppR6Tx7mJSIqSVxUExHZ7XsAqpRSHwc2j9oB4N8A+DOtdQzA0wD+J6VUYOvjt+z+oTdfWLMMYKejhfwTAF/QWo9i80WL/1YpFS7YV0JEZDG+UJGIyHJKqV4A/wXACWxuLPk2gN/VWie3FtN/iM0XKqax+ULF/7T1QsVZbL54MQrgo1rrtZsu8xSArwI4rbWOb73vPwBY0lr/X0X74oiILMFFNRERERGRS9z9g4iIiIjIJS6qiYiIiIhc4qKaiIiIiMglLqqJiIiIiFziopqIiIiIyCUuqomIiIiIXOKimoiIiIjIpf8f9nOXHoM+qsAAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = np.linspace(-10, 10, 100)\n", "\n", "plt.figure(figsize=(12, 7))\n", "plt.fill_between(x, -x+np.sin(x), x+np.sin(x), alpha=0.5)\n", "plt.hlines([-10, -11, -12], -10, 10)\n", "plt.xlabel('Ось X')\n", "plt.ylabel('Ось Y')\n", "plt.grid(ls=':')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "j7U03-gUT1i4" }, "source": [ "Кроме графиков в двумерных координатах, `matplotlib` позволяет строить трёхмерные графики или поверхности." ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:56:49.430149Z", "start_time": "2022-02-05T16:56:49.416449Z" }, "id": "SshCuT-0UI4P" }, "outputs": [], "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" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "ExecuteTime": { "end_time": "2022-02-05T16:56:51.465363Z", "start_time": "2022-02-05T16:56:51.142269Z" }, "colab": { "base_uri": "https://localhost:8080/", "height": 319 }, "id": "lt5yN_RvUClV", "outputId": "d872f9f5-5a9a-4b7b-9830-172d094f67dd" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = Axes3D(fig)\n", "ax.plot_surface(x, y, z, rstride=1, cstride=1, cmap='gnuplot')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "OKt4Bz3xUKyl" }, "source": [ "Чтобы посмотреть, как ещё можно настраивать графики в matplotlib, строить контурные графики и делать пиксельные картинки, можете перейти к полному материалу." ] } ], "metadata": { "colab": { "collapsed_sections": [ "52VfdBf3ETQW", "1WUoq9ltGHwb", "8jf-rT54JPJ0", "Je7i5xbZQ1Qs" ], "name": "python_digest.ipynb", "provenance": [] }, "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 1 }