{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Частоты кодонов" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline\n", "import pandas as pd\n", "from io import StringIO" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Одна из проблем при исследовании экспрессии белков связана с редкими кодонами в кодирующей последовательности. Рассмотрим частоты встречаемости (на 1000) кодонов в генах различных организмов. \n", "\n", ":::{note}\n", "Отношение 1 к 100 называется \"pro cent\" (лат. к сотне), в русском языке слово \"процент\" склоняют во всех падежах. А отношение 1 к 1000 - \"pro mille\" (лат. к тысяче). Это слово не склоняют.\n", "\n", "знак | русский | латынь | английский \n", "-|-|-|-\n", "\\% | процент | per centum | percent \n", "‰ | промилле | per mille | permille \n", "\n", ":::\n", "\n", "[Представленные данные](http://molbiol.ru/protocol/18_05.html) взяты из \"Codon-Usage Database\" содержащей 392382 полных кодирующих последовательностей для 11713 организмов. \n", "{cite}`nakamura2000`\n", "В таблице отобраны 7 видов со следующими обозначениями." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'HUM': 'Homo sapiens',\n", " 'MUS': 'Mus musculus',\n", " 'DRO': 'Drosophila melanogaster',\n", " 'ATH': 'Arabidopsis thaliana',\n", " 'YSC': 'Saccharomyces cerevisiae',\n", " 'PIC': 'Pichia pastoris',\n", " 'ECO': 'Escherichia coli'}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "spec=dict([_s.strip().split(' ',1) for _s in '''\n", " HUM Homo sapiens\n", " MUS Mus musculus\n", " DRO Drosophila melanogaster\n", " ATH Arabidopsis thaliana\n", " YSC Saccharomyces cerevisiae\n", " PIC Pichia pastoris\n", " ECO Escherichia coli\n", " '''.strip().split('\\n')])\n", "spec" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Понимание смещения в частоте встречаемости кодонов занимает центральное место в таких областях, как молекулярная эволюция и биотехнология {cite}`plotkin2011`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Скопируем текст таблицы, в которой представлены промилле кодонов с указанием аминокислоты у этих видов." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "text/html": [ "
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HUMMUSDROATHYSCPICECO
AmCodon
ArgCGA6.26.68.56.33.04.44.1
CGC10.69.518.13.82.62.218.3
CGG11.510.48.24.91.82.06.5
CGU4.64.78.89.06.46.818.8
AGA11.911.65.218.921.320.24.5
...........................
MetAUG22.122.923.624.521.018.125.9
TrpUGG13.212.39.912.510.410.313.8
TerUAA(ochre)1.00.70.80.91.00.92.0
UAG(amber)0.80.60.60.50.50.50.3
UGA(opal)1.61.20.51.10.70.31.0
\n", "

64 rows × 7 columns

\n", "
" ], "text/plain": [ " HUM MUS DRO ATH YSC PIC ECO\n", "Am Codon \n", "Arg CGA 6.2 6.6 8.5 6.3 3.0 4.4 4.1\n", " CGC 10.6 9.5 18.1 3.8 2.6 2.2 18.3\n", " CGG 11.5 10.4 8.2 4.9 1.8 2.0 6.5\n", " CGU 4.6 4.7 8.8 9.0 6.4 6.8 18.8\n", " AGA 11.9 11.6 5.2 18.9 21.3 20.2 4.5\n", "... ... ... ... ... ... ... ...\n", "Met AUG 22.1 22.9 23.6 24.5 21.0 18.1 25.9\n", "Trp UGG 13.2 12.3 9.9 12.5 10.4 10.3 13.8\n", "Ter UAA(ochre) 1.0 0.7 0.8 0.9 1.0 0.9 2.0\n", " UAG(amber) 0.8 0.6 0.6 0.5 0.5 0.5 0.3\n", " UGA(opal) 1.6 1.2 0.5 1.1 0.7 0.3 1.0\n", "\n", "[64 rows x 7 columns]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "s='''Am\tCodon\tHUM\tMUS\tDRO\tATH\tYSC\tPIC\tECO\n", "Arg\tCGA\t6.2\t6.6\t8.5\t6.3\t3.0\t4.4\t4.1\n", "Arg\tCGC\t10.6\t9.5\t18.1\t3.8\t2.6\t2.2\t18.3\n", "Arg\tCGG\t11.5\t10.4\t8.2\t4.9\t1.8\t2.0\t6.5\n", "Arg\tCGU\t4.6\t4.7\t8.8\t9.0\t6.4\t6.8\t18.8\n", "Arg\tAGA\t11.9\t11.6\t5.2\t18.9\t21.3\t20.2\t4.5\n", "Arg\tAGG\t11.9\t11.9\t6.3\t10.9\t9.3\t6.6\t2.6\n", "Leu\tCUA\t7.1\t7.9\t8.2\t9.9\t13.4\t10.9\t4.5\n", "Leu\tCUC\t19.7\t20.2\t13.8\t16.1\t5.4\t7.5\t10.1\n", "Leu\tCUG\t39.9\t39.9\t38.3\t9.8\t10.5\t15.1\t45.8\n", "Leu\tCUU\t13.1\t13.2\t8.9\t24.1\t12.3\t15.7\t12.6\n", "Leu\tUUA\t7.6\t6.5\t4.4\t12.7\t26.2\t15.6\t15.0\n", "Leu\tUUG\t12.8\t13.3\t16.1\t20.9\t27.1\t31.2\t12.9\n", "Ser\tUCA\t12.2\t11.6\t7.8\t18.2\t18.7\t15.4\t10.0\n", "Ser\tUCC\t17.7\t18.0\t19.5\t11.2\t14.2\t16.2\t9.3\n", "Ser\tUCG\t4.5\t4.3\t16.7\t9.3\t8.6\t7.1\t8.5\n", "Ser\tUCU\t15.1\t16.0\t7.0\t25.1\t23.4\t23.9\t11.0\n", "Ser\tAGC\t19.4\t19.6\t20.5\t11.3\t9.7\t7.7\t15.0\n", "Ser\tAGU\t12.1\t12.5\t11.5\t14.0\t14.2\t12.8\t10.8\n", "Thr\tACA\t15.0\t15.8\t11.1\t15.7\t17.8\t13.7\t10.8\n", "Thr\tACC\t19.0\t19.1\t21.3\t10.3\t12.6\t14.3\t21.3\n", "Thr\tACG\t6.1\t5.8\t14.5\t7.7\t8.0\t6.0\t13.8\n", "Thr\tACU\t13.0\t13.6\t9.5\t17.6\t20.2\t22.3\t11.0\n", "Pro\tCCA\t16.9\t17.1\t13.5\t16.1\t18.1\t18.4\t8.7\n", "Pro\tCCC\t19.9\t18.3\t18.0\t5.3\t6.8\t6.7\t5.6\n", "Pro\tCCG\t7.0\t6.2\t16.0\t8.6\t5.3\t4.2\t19.3\n", "Pro\tCCU\t17.5\t18.4\t6.9\t18.7\t13.5\t16.0\t8.0\n", "Ala\tGCA\t15.9\t15.9\t12.8\t17.5\t16.2\t15.0\t21.6\n", "Ala\tGCC\t28.0\t26.4\t33.6\t10.4\t12.6\t16.5\t23.8\n", "Ala\tGCG\t7.5\t6.6\t14.1\t9.0\t6.2\t3.8\t27.9\n", "Ala\tGCU\t18.5\t20.2\t14.4\t28.4\t21.1\t29.0\t17.4\n", "Gly\tGGA\t16.4\t16.8\t17.7\t24.2\t10.9\t19.1\t10.7\n", "Gly\tGGC\t22.4\t21.6\t26.6\t9.2\t9.8\t8.0\t25.5\n", "Gly\tGGG\t16.5\t15.3\t4.7\t10.2\t6.0\t5.8\t11.6\n", "Gly\tGGU\t10.8\t11.5\t13.2\t22.3\t23.8\t26.0\t24.9\n", "Val\tGUA\t7.1\t7.4\t6.4\t9.9\t11.8\t9.8\t12.0\n", "Val\tGUC\t14.6\t15.5\t13.9\t12.8\t11.6\t14.8\t14.0\n", "Val\tGUG\t28.3\t28.9\t27.8\t17.4\t10.8\t12.2\t23.4\n", "Val\tGUU\t11.0\t10.6\t10.9\t27.3\t22.0\t27.1\t20.1\n", "Lys\tAAA\t24.2\t21.7\t16.8\t30.8\t42.0\t30.4\t35.6\n", "Lys\tAAG\t32.0\t34.1\t39.6\t32.7\t30.8\t34.7\t13.1\n", "Asn\tAAC\t19.1\t20.6\t26.3\t20.9\t24.8\t26.1\t21.1\n", "Asn\tAAU\t16.8\t15.5\t21.1\t22.3\t35.8\t24.6\t23.0\n", "Gln\tCAA\t12.1\t11.5\t15.7\t19.4\t27.3\t25.3\t14.4\n", "Gln\tCAG\t34.2\t34.3\t36.5\t15.2\t12.2\t16.2\t28.0\n", "His\tCAC\t15.1\t15.2\t16.0\t8.7\t7.8\t9.1\t8.8\n", "His\tCAU\t10.8\t10.3\t10.6\t13.7\t13.7\t11.9\t12.5\n", "Glu\tGAA\t28.7\t26.9\t21.0\t34.3\t45.7\t39.0\t37.9\n", "Glu\tGAG\t39.6\t39.9\t42.7\t32.3\t19.3\t29.7\t18.8\n", "Asp\tGAC\t25.2\t26.5\t24.6\t17.3\t20.2\t26.2\t18.8\n", "Asp\tGAU\t21.7\t21.2\t27.5\t36.7\t37.7\t36.0\t32.9\n", "Tyr\tUAC\t15.3\t16.3\t18.3\t13.8\t14.7\t18.2\t12.0\n", "Tyr\tUAU\t12.1\t12.1\t10.8\t14.7\t18.8\t15.2\t18.4\n", "Cys\tUGC\t12.6\t12.0\t13.2\t7.1\t4.7\t4.2\t6.0\n", "Cys\tUGU\t10.5\t11.0\t5.4\t10.5\t8.0\t7.7\t5.4\n", "Phe\tUUC\t20.4\t21.9\t21.9\t20.7\t18.4\t19.8\t15.6\n", "Phe\tUUU\t17.4\t17.0\t13.2\t21.8\t26.2\t23.6\t22.6\n", "Ile\tAUA\t7.4\t7.1\t9.5\t12.6\t17.8\t11.7\t8.3\n", "Ile\tAUC\t20.9\t22.9\t22.9\t18.6\t17.1\t19.6\t22.6\n", "Ile\tAUU\t15.8\t15.4\t16.5\t21.5\t30.1\t30.8\t29.7\n", "Met\tAUG\t22.1\t22.9\t23.6\t24.5\t21.0\t18.1\t25.9\n", "Trp\tUGG\t13.2\t12.3\t9.9\t12.5\t10.4\t10.3\t13.8\n", "Ter\tUAA(ochre)\t1.0\t0.7\t0.8\t0.9\t1.0\t0.9\t2.0\n", "Ter\tUAG(amber)\t0.8\t0.6\t0.6\t0.5\t0.5\t0.5\t0.3\n", "Ter\tUGA(opal)\t1.6\t1.2\t0.5\t1.1\t0.7\t0.3\t1.0\n", "'''\n", "\n", "A = pd.read_csv(StringIO(s), index_col=(0,1), sep='\\t')\n", "A" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Возможных комбинаций кодонов $ 4 ^ 3 = 64$, 3 - терминальные.\n", "Оценка равной вероятности на 1000 кодонов:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "16.39344262295082" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p0=1000/61\n", "p0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Таким образом, если бы распределение было равномерным, то частота для всех кодирующих кодонов была бы в районе 16.4.\n", "\n", "Для визуализации частот выберем часть кодонов: которые кодируют аргинин и серин, аминокислоты с шестикратной вырожденностью. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "A.loc['Ser'].plot(kind='pie', subplots=True, figsize=(10, 5), legend=False, labels=None, layout=[2,4]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Распределения кодонов для аргинина заметно различаются, а для серина более или менее равномерны. При этом доля конкретной аминокислоты в белках примерно одинаковая у всех живых организмов." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "A.loc['Arg'].T.plot(kind='bar', stacked=1);\n", "legend(loc='center left', bbox_to_anchor=(1.0, 0.5));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Обратите внимание, что для вынесения легенды за пределы рисунка мы используем специальную команду с указанием координат размещения рамки для легенды." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> Посмотрите распределение кодонов для других аминокислот. Для каких из них есть существенные различия в частотах?" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Index(['Ala', 'Arg', 'Asn', 'Asp', 'Cys', 'Gln', 'Glu', 'Gly', 'His', 'Ile',\n", " 'Leu', 'Lys', 'Met', 'Phe', 'Pro', 'Ser', 'Ter', 'Thr', 'Trp', 'Tyr',\n", " 'Val'],\n", " dtype='object', name='Am')" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A.index.levels[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "В таблице двухуровневый индекс. Первый уровень `'Am'` представлен списком аминокислот, второй `'Codon'` - списком кодонов. Позиция в таблице определяется сочетанием значений из первого и второго индекса.\n", "\n", "Для отбора по многоуровнему индексу можно использовать метод `.query()` указывая нужный уровень индекса по имени." ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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HUMMUSDROATHYSCPICECO
AmCodon
ArgAGA11.911.65.218.921.320.24.5
AGG11.911.96.310.99.36.62.6
SerAGC19.419.620.511.39.77.715.0
AGU12.112.511.514.014.212.810.8
\n", "
" ], "text/plain": [ " HUM MUS DRO ATH YSC PIC ECO\n", "Am Codon \n", "Arg AGA 11.9 11.6 5.2 18.9 21.3 20.2 4.5\n", " AGG 11.9 11.9 6.3 10.9 9.3 6.6 2.6\n", "Ser AGC 19.4 19.6 20.5 11.3 9.7 7.7 15.0\n", " AGU 12.1 12.5 11.5 14.0 14.2 12.8 10.8" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A.query('Codon in (\"AGA\",\"AGG\",\"AGC\",\"AGU\")')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Отображение на основе частотных распределений" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "A.plot(kind='density');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Типичные значения частоты кодонов в районе 15 промилле.\n", "\n", "Распределение похоже на нормальное. Мы можем применить сингулярное разложение для извлечения главных компонент." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "A = A-p0" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([155.90509657, 88.38299524, 52.52879423, 29.80419437,\n", " 24.89140322, 16.69400044, 3.97487486])" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "U,sigma,V = svd(A, full_matrices=False)\n", "sigma" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "bar(arange(len(sigma)),sigma);\n", "ylabel('Вклад компонента');" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=[10,4])\n", "subplot(121); pcolor(U);\n", "subplot(122); pcolor(V.T);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Выберем несколько первых компонентов и посчитаем долю вариации, которую они вместе объясняют." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9508620103515191" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nF=3\n", "W=diag(sigma)\n", "Q = dot(W[:nF,:nF],V[:nF,:]);\n", "B = dot(U[:,:nF], Q);\n", "sum(sigma[:nF]**2)/sum(sigma**2)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "subplot(121); pcolor(A); subplot(122); pcolor(B);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Слева - исходная матрица, справа - восстановленная по трём главным компонентам." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Первые два компонента часто используют для отображения на плоскости (ембеддинга)." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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Qp08f5s6de8KxH3roIaKionj22WdZsmQJQUFB1KtXD+ccEydOpG3btjz++OMcOXIEgB49enDNNddgZtx6661ERESwfPnyE/a5e/du5syZQ3R0NPfccw+HDh3ip59+Agrn45x11lnUrFmTGjVqsH37dmJjY1m7di0zZ85k+fLlrF69mq5du7J48WLatm1Lfn4+ZoZz7oTjOOcwszL7trR1zj33XFatWkWHDh2YMWMGV111VZn7ERGRiqOg8gdXrVq1Yq9L+uW8bNNupi3dQtiTX5Cbf5QZK9Jp06YN3333HSNHjuTgwYO88sorrFq1ivT0dHbu3Mn8+fN54okn/PtYsWIF9evX589//jM9evRg165dBAcHFzvWQw89RFpaGm+//TZXXXUVXbt2PWF5gwYNOHz4MPv37+fiiy8mPj6eOnXqMGLECO6//3569erF+PHjOXToEDk5OXTs2JHJkycDkJ2dzapVq2jUqJF/jszmzZv5+eefi9XRqFEj1q9fT35+PllZWaSmpgKwfv16fv75ZwYMGMArr7zCDz/8cIq9LiIip4vmqHjQjBXpPD9rHduyc/2hoUdc42LrdezYkffee4/bbruN9957j06dOpX7GBdffDGPPvoomZmZzN+Uw5R3p1GrTVdqAGYw4qNVABz96T/06NGDr7/+mt27d7Np0yaaNGlCWloal156KY0b/7+6fvrpJ5KTk1mwYAHNmjUjPT2dxMTEE457zjnn8P777/tPU+3bt4/t27efsE6tWrW48MIL6du3L/Xq1aNhw4Z07NiRhg0b8vjjjxMWFkatWrUYOXIkZ599Ni+//DJ33303L7zwAkFBQbz00kt07tyZl19+mYiICCIjIznzzDOL9UFkZCRXXnklUVFRNGvWjOrVqwNQUFDAPffcw+7du6lduzavvPJKuftVREROLwUVj5mxIp0RH60iN/8ocGJoODms/P3vf+eOO+7gmWeeoUmTJkyZMqXcxzn//PMZO3YsiYmJ/JSxjxrhl1Ir4mIAmj42ndz8ozw/ax1R67/gscceo3bt2lxyySV07dqV+vXrM2DAAI4ePUrjxo254IILALj55ptZvXo1NWrU4Mcff+S///u/adq0KZmZmf7jpqam8vTTTxMfH09eXh6NGzf2j/D07NmT+Ph4AJo1a8a4ceP4+eefGTFiBG+88QbnnHMOc+fO9c9NOaZJkybMmjWr2Hv87LPPSnzvBw4c8D+fNGlSiessXbq0vF0pIiIVyP3Sefzfg/j4eDt50ubv1eVj55KenVusvXFIMN882blCjhn25BeU9FPggI1jry/3fqZMmUJKSgoTJkw4bbWJiEhxzrllZhYf6Doqg+aoeMy2EkJKWe2nwwUhxeeRlNUuIiJSWRRUPCYQoWFYlyiCg6qf0BYcVJ1hXU7tarSDBg3SaIqIiJxWCioec7pCw6noEdeYMTfF0jgkGEfhaaYxN8WWOIFXRESkMmkyrcccCwfHvvVzQUgww7pEVXho6BHXWMFEREQ8R0HFgxQaRERECunUj4iIiHiWgoqIiIh4loKKiIiIeJaCioiIiHiWgoqIiIh4loKKiIiIeJaCioiIiHiWgoqIiIh4loKKiIiIeJaCioiIiHiWgoqIiIh4loKKiIiIeJaCioiIiHiWgoqIiIh4loKKiIiIeJaCioiIiHiWgoqIiIh4loKKiIiIeJaCioiIiHiWgoqIiIh4loKKiIiIeJaCioiIiHiWgoqIiIh4loKKiIiIeFbAgopzrqZzbrZzboNzbr1zbmRR+7nOuZlFbTOdc/UCVaOIiIgEVqBHVJ4zsxZAG6C3c+4i4HngYzOLBD4GRgeuPBEREQmkgAUVMztkZl8VPc8FfgTOA5KA94pWmwZcF5gKRUREJNACPaICgHPuPOASYAlwrpllA5jZXkCnfkRERKqogAcV59yZwAfAn4oCip20So1StrvXOZfinEvZtWtXBVcpIiIigRDQoOKcqwF8CPyfmU0pat7jnKtTtPxsYHdJ25rZJDOLN7P4Bg0aVEq9IiIiUrkC+a2fWsBnwEIzG3PcorlA76LnfYA5lV2biIiIeMMZATx2B+AKoJlz7o6ito+BYcC7zrn/AjYBtwWkOhEREQm4gAUVM0sGzixl8TWVWIqIiIh4VMAn04qIiIiURkFFREREPEtBRURERDxLQUVEREQ8S0FFREREPEtBRURERDxLQUVEREQ8S0FFREREPEtBRURERDxLQeV3olq1avh8Pv/jtttO7c4CU6ZMYciQIb+phqSkJNLT00tdHhoaSmZmZrH2ESNG8PHHH/+mY5dm06ZNtGrVCoCPP/6YESNGVMhxREQkMAJ5rx85BbVq1SItLS2gNcyZ8+vuDzlmzJhfXuk06NmzJz179qyUY4mISOXQiMrv3IsvvkhERARhYWH069cPgJ07d9K9e3eioqKIjo72B4zU1FSSkpIICwvj8ccf9+/j008/pX379kRHR9OvXz/y8vLYtGkTzZo1o3///sTExDBr1ixatWrFpk2bAHjrrbdo1aoVzZs3p1evXv59jR49mtatWxMdHU1qaioAQ4YMYcqUKQDcd999hIeHExERwW233caRI0eKvaejR4/y2GOPER0dTfPmzXnhhRcAmDBhAtHR0URHRzNx4sRi202fPp1Bgwb95j4VERHvUFD5ncjJySl26ic7O5uxY8eyZs0aNm7cyP333w/AQw89xLXXXsu6deuYP38+ISEhQGEAmD59OmvXrmXatGls27aNrVu38ve//50FCxawdu1a6tevz1tvvQXAwYMHGTlyJGvWrKFLly7+WtasWcNf//pXvv76a3766SfuuOMO/7LOnTvz/fff88ADDzB+/Phi7+Mvf/kLP/74Iz/88ANZWVnMnj272DqTJk1ix44drFmzhrS0NC666CJWrlzJG2+8QUpKCikpKUyaNInvv//+dHaxiIh4kE79/E6UdOonPz+fkJAQ7rvvPq688kpuuOEGAObOncs777wDQMOGDWnYsCGrVq0iNjaWc845B4DmzZuzfft21q5dy8qVK4mLiwMgLy+PunXrAnD++efTsmXLYrXMnTuXm266yR+Aunbt6l+WkJAAQExMDF999VWxbZcvX87LL7/Mxo0b2bFjBzt37iy2zuzZs3nwwQepVq0aNWrUICkpifHjx9O9e3dq164NQPfu3UlOTubGG28sfyeKiMjvjoLK71hQUBDLly/niy++YN68eYwaNYr169djZjjnyty2evXqmBkFBQXceuutvPrqqycsP3aKpyRm9ou1Hdv/yfscOHAgX3zxBe3atWPo0KEl7qs8+y/PexQRkd8/nfrxsBkr0rl87FzCnvyC3PyjzFhx4jduMjIySElJoVevXowfP55Dhw6Rk5NDx44dmTx5MgDZ2dmsWrWq1GN06tSJTz/9lA0bNgCwY8cOVq5cWWZdnTp14qOPPmLv3r0ALFy4sFzvJzs7mwsvvJB27dqRk5NT6uTghIQEJk+eTEFBAUeOHGHx4sUkJCTw6aefkpOTQ05ODp999pl/9EZERP64FFQ8asaKdEZ8tIr07FwMKDicR++rL+HCsHD/HBXnHE899RRhYWHExcUxcuRIzj77bF5++WU+/PBDoqKi6NixY4mnV44JCwtjwoQJ3HTTTURERNC5c2eysrLKrC0uLo7BgwfToUMHIiMjmTBhQrne00UXXURsbCzNmzfn6quvJi8vr8T1HnzwQWrXro3P56Nly5YsWrSIuLg4Bg0aRNu2bWnbti133nknbdq0KddxRUTk98uVZ5jd6+Lj4y0lJSXQZZxWl4+dS3p2brH2xiHBfPNk5wBUJCIiXuGcW2Zm8YGuozJoRMWjtpUQUspqFxER+SNSUPGoC0KCT6ldRETkj0hBxaOGdYkiOKj6CW3BQdUZ1iUqQBWJiIhUPn092aN6xDUG4PlZ69iWncsFIcEM6xLlbxcREakKFFQ8rEdcYwUTERGp0nTqR0RERDxLQUVEREQ8S0FFREREPEtBRURERDxLQUVEREQ8S0FFREREPEtBRURERDxLQUVEREQ8S0FFREREPEtBRURERDxLQUVEREQ8S0FFREREPEtBRURERDxLQUVEREQ8S0FFREREPEtBRURERDyrzKDinLvBOXePcy7ipPYpFVqViIiICGUEFefceOABIAr40jn35+MWd6jowkRERETKGlHpAlxvZk8AbYAY59wrRctchVcmIiIiVV5ZQSXIzAzAzHLMrC9whnPu74BVSnUiIiJSpZUVVFKcc9cf32Bm9wFnA5EVWpWIiIgIZQQVM+ttZl+UsOgOoEXFlSQiIiJS6IxT3cDMCoDNFVCLiIiIyAl0HRURERHxLAUVERER8axfDCrOudcqo5CTjnmdc261c26dc25kZR9fREREvKE8IyqVenE351xt4FXgKiAG6Oqca1uZNYiIiIg3lGcy7X+cc48D845vNLPlFVMSHYDlZrYDwDk3HbgOqKjjiYiIiEeVJ6j4ih7djmszoHOFVAQXABnHvd4FRJy8knPuXuBegKZNm1ZQKSIiIhJIvxhUzOzKyijkJAUnva5x8gpmNgmYBBAfH68r5YqIiPwBlWcybR3n3F+dcynOuaXOuXHOuboVWNMOoP5xrxsUtYmIiEgVU57JtG8C+4BbgF7A7qK2irIEaO+ca+icO6PouHMq8HgiIiLiUeWZoxJrZr2Pe/3/OedSK6ogMzvgnBtK4eTdIOCfZja/oo4nIiIi3lWeoJLtnLvczL4BcM5dBuytyKLM7DPgs4o8hoiIiHhfeYLKPcDbzrl6Ra93AwMrriQRERGRQuUJKtXMrJ1z7izAmdk+51xsRRcmIiIiUp7JtO8BmNl+M9tX1Da94koSERERKVTqiIpzzkfhJezPcs7ddNyiZuhmhiIiIlIJyjr1E0Xh1WjPKvrTFbXvAW6u4LpERERESg8qZvYJ8Ilz7h/AD8fde6chGlERERGRSlCewPEc0PC412cDH1ZMOSIiIiL/T3mCSn0z+/7YCzP7AahXxvoiIiIip0V5gkqWc67VsRfOuRggt+JKEhERESlUnuuoPAR87JzbRuGE2ibA7RValYiIiAjlCCpmttQ515LCbwE5YL2Z5VV4ZSIiIlLl/WJQcc5VA64EzqMwqMQ55zCztyu6OBEREanaynPq5y2gPtAemAr4gBqAgoqIiIhUqPIElQ5mFuWcW2NmQ51ztYFZFV2YiIiISHm+9XPsirQbnXNxZnYQaFSBNYmIiIgA5RtRmeucqw9MAP7PObcFWFCxZYmIiIiUMaLinPsfADO7H3BmNhO4GLjbzO6opPpERESkCivr1E/P457PBzCzzWb2XcWWJCIiIlKorKDiSnkuIiIiUinKCipWynMRERGRSlHWZFqfc24fhaMptYqeU/TazKxuhVcnIiIiVVqpQcXMyvPVZREREZEKozAiIiIinqWgIiIiIp6loCIiIiKepaAiIiIinqWgIiIiIp6loCIiIiKepaAiIiIinqWgIiIiIp6loCIiIiKepaAiIiIinqWgIiIiIp6loCIiIiKepaAiIiIinqWgIiIiIp6loCIiIiKepaAiIiIinqWgIiIiIp6loCIiIiKepaAiIiIinqWgIiIiIp6loCIiIiKepaAiIiIinqWgIiIiIp6loCIiIiKepaAiIiIinhWQoOKce98595Nzbr1z7mXnnCtqD3bOTS1qX+ScCwtEfSIiIuINgRpReQdoAUQD4cCNRe3DgE1mFgk8DYwPTHkiIiLiBQEJKmb2mRU6CqQC5xctSgKmFa0zC+hwbLRFREREqp6AzlFxztUCugPJRU0XABnHrbIPOLeSyxIRERGPOKOiduycmw3UL2HRdWa2rWik5B/AO2a27rjlBSetX6OU/d8L3AvQtGnT01CxiIiIeE2FBRUzu6q0ZUUh5TUg28yePm7RDgrDzc6i1yHArlL2PwmYBBAfH2+noWQRERHxmEo/9eOcqw5MAQ4DD5y0eA7Qp2i9LsAaM8uv1AJFRETEMypsRKUMTYDbgfXA2qK5st+a2QDgr8AU59wPQGbReiIiIlJFVXpQMbNNlDKSY2Y5QK9KLUhEREQ8S1emFREREc9SUBERERHPUlARERERz1JQEREREc9SUBERERHPUlARERERz1JQEREREc9SUBERERHPUlApw5tvvolzjsWLF5/ytps2baJVq1YlLktKSiI9Pb1Y+6BBg5g+ffopH6s0EyZMYMKECeVaNzs7m4kTJ/pfJycn061bt1M6Xp06dQD49ttvGTBgwCltKyIiUhIFlTJ88MEH3HLLLXzwwQendb9z5syhcePGp3WfJRkyZAhDhgwp17onB5XfokOHDrz99tunZV8iIlK1KaiUYvfu3aSmpjJ27Fg+/PBDzApv0JycnEy7du248cYb8fl8rFmzhtatWxMZGUlERAQvvPCCfx979+7llltuwefzcf3113PgwAEAWrVqxaZNmwB44403CA8PJy4ujjlz5vi3XbBgAXFxcfh8Pu677z7y8wvvzRgaGsodd9xB69atiY2NZfXq1QBMnTqVqKgomjdvTufOnTly5Ajjxo1j9OjRALz44otEREQQFhZGv379ir3fESNG8MMPP+Dz+bjnnnsASE9P54YbbiAiIoLevXv7++C6664jMjKS8PBwHn/88WL7SklJ4YorrgBg1qxZtGjRgujoaNq2bcvKlSsBGD16NDfccAOXXHIJzZo148UXXwQgMzMTn8/nf7z77run/HcnIiJ/IGb2u3+0a9fOTrc333zT7r33XjMzi42Ntf/85z9mZjZv3jyLiIiwLVu2+NfduXOnmZnt37/fGjRoYAcPHrSNGzfa+eefbxs3bjQzswceeMDGjRtnZmYxMTG2ceNGS01NtZiYGMvOzjYzs969e9sHH3xghw4dstDQUFu/fr2Zmd1555328ssvm5lZs2bN7MsvvzQzs2nTptn1119vZmb16tWzrKwsMzP7+uuv7ciRI/b888/bqFGjbM+ePdawYUPLy8szM7P58+cXe78bN260mJgY/+t58+aZz+ezrVu32tGjR61du3a2aNGiE95vfn6+xcTE2Nq1a83MrHbt2mZmtnTpUktMTDQzsz179viPO3XqVOvdu7eZmY0aNcp69eplOTk5tmvXLqtbt64dPXrU8vLybM+ePWZmtnXrVmvUqFH5/sJERKoQIMU88Pu3Mh4aUSnFBx98QI8ePQDo0aPHCXNHIiMjufDCC/2vp02bRseOHenQoQN79+5l165dAJx77rmEhoYC0K1bN5YtW3bCMebMmUPPnj05++yzAahZsyYAaWlpNG3alIiICAD69+/P3Llz/du1b98egBtuuIHly5cD0Lp1a+666y4mTZpE8+bNqV69un/92rVrExISwn333cfbb79NbGxsufqgRYsWNG7cmGrVqhEdHc22bdsA+Oqrr0hKSqJ169Zs3ryZnTt3lrqPvLw8hgwZQuvWrRk5cuQJ67Zv357g4GDq169P3bp12bNnD9WqVWP8+PF06NCBq6++mh07dpSrVhER+WNSUCnBnj17SE5O5v777yc0NJQ333yz1Emu77zzDu+99x5Tp04lNTWViIgI/ymS4x0+fNgfRI7Jy8sjKCjoF+sxM5xzJe4zODgYKDzFcuedd7Ju3Tratm1LRkaGf72goCCWL19O165dWbx4MW3btvWfSiqv6tWrY2YsXLiQZ555hokTJ5KamkpiYmKJ7/eYfv360bx5c5YsWcL7779f6rrH9j9mzBi+//57vvzyS1JTU6lVq9Yp1SkiIn8sCirHmbEincvHziXitqc5K7oT42csYtOmTaSnpxMcHExKSkqxbbKysrj44otp0qQJmzdvJjMz07/s8OHDHD16lIKCAv75z39y1VVXnbBtfHw8M2fO5MiRI+zfv58ff/wRgKioKH7++Wc2bNgAFM4/SUxM9G+Xm5sLwOTJk7n66qs5cuQIX3zxBd26dWPcuHE0atTohJGLjIwMUlJS6NWrF+PHj+fQoUPk5OScUEtISAgZGRnk5eWVGTyysrKIiYkhKiqKzMxMNm/eXGafZmVlcd111xEcHFxsRKm09RMTE6lfvz6rVq3i8OHDv7iNiIj8cSmoFJmxIp0RH60iPTuXg+u+xoV3ZMRHq5ixovBrxH379i3x2z/9+/dn0aJFREZG8vDDD58wQrJnzx46duxIREQEjRo1ok+fPidsm5iYSHx8PFFRUVx//fX+X8o1a9Zk8uTJ3HzzzURFRWFm3H///f7tevfuTVRUFF999RXPPvssAK+//jphYWG0bNmSLl26nHB6xznHU089RVhYGHFxcYwcOdJ/uumYkJAQbrnlFlq0aOGfTFuSrl27kpubS3h4OH369ClxpOd4o0eP5sYbbyQmJoaFCxeWuS7A4MGDef311/H5fIwbN+6EU1giIlL1uLL+9/x7ER8fbyWNdpyKy8fOJT07t1h745Bgvnmy82/a9+kUGhpKSkoK9evXD3QpIiISIM65ZWYWH+g6KoNGVIpsKyGklNUuIiIiFe+MQBfgFReEBJc4onJBSHAAqindseuviIiIVAUaUSkyrEsUwUEnzocIDqrOsC5RAapIRERENKJSpEdc4SXtn5+1jm3ZuVwQEsywLlH+dhEREal8CirH6RHXWMFERETEQ3TqR0RERDxLQUVEREQ8S0FFRESkElSrVg2fz0dkZCQ33XQTe/fuJT09naSkpFK32bRpE61atSpxmXNujnOuUucrOOdCnXP9fsV2jZ1zc37NMRVUREREKkGtWrVIS0tj/fr1REdH88wzz9C4cWPmzPlVv78xsyQzSz/NZf6SUOCUg4qZpZtZ6YmsDAoqIiIilaxLly6sX7+ezMxMQkNDATh69CiPPfYY0dHRNG/enBdeeAGA/fv3069fP3w+H0lJSf77vTnnVjvnQouef++cW++c+8E593hJx3TOTXHOfeicW+qc2+ic61PUHlu0XVrRPq8uar/IOZfinPvRObfSORcDjAGuKFp3tHOuhnNuknNunXNuhXOuY9G2g5xzs4tGfdY755o65zaVsd9S6Vs/IiIilSgvL49//OMfJCQknNA+adIkduzYwZo1azhy5Ij//mi5ubk89dRT+Hw+brrpJmbMmFHSbq8yswznXB3gJ+fcq2aWU8J664FbgCbAf5xzHwM/AW3MLMc5dwnwEvAVMAp41sxmFAUiA0YAT5hZNwDn3MNANTOLcs5FADOdcy2LjhUMdDOzPc654+/7UtJ+S6URFRERkUqQk5ODz+cjJiaG888/n0ceeeSE5bNnz+auu+6iWrVq1KhRwz93pWHDhvh8PgBiYmLYtm1bSbvv45z7GvgWOBtoUEoZy6zQz8BWoBnggGedc8uBt4DzitZdCfy3c+4JoK6ZbS5hf1cA7wKY2Q9F+zx2pdQVZranhG3Ks18/jaiIiIhUgmNzVEpTnpsEV69evdh6zrnbgd5AHzPb4pxbTWH4+CU1gFxgfNGficCZQEpRPU875/4NJAGfOOceAA79wj4dvzBCUtJ+zWxmaetrREVERKSCzFiRzuVj5xL25Bfk5h9lxorS574mJCQwefJkCgoKOHLkCIsXLy7vYc4FlhSFlGZA/TLWDQZwzsVTOFixtWj7f5vZfqDdsRWdczdSOCryLDADiAD2ABe6IsB8oG/R+uHAhRSeXipVKfstlYKKiIhIBZixIp0RH60iPTsXA8xgxEerSg0rDz74ILVr18bn89GyZUsWLVpU3kP9E7jMObeewtGR/DLWHeacWwNMAgZa4fDMc8ALzrm1FI7MHNMBSHPOpQLNgSnA98Dmosdo4FWgunNuHTAduMPM8n6h3pL2WypXnqEmr4uPj7eUlJRAlyEiIuJ3+di5pGfnFmtvHBLMN092/k37ds4tM7P4U9xmCvC5mU3/TQevZBpRERERqQDbSggpZbVLyTSZVkREpAJcEBJc4ojKBSHBAagGzGxQQA78G2lERUREpAIM6xJFcFD1E9qCg6ozrEtUKVtISTSiIiIiUgF6xBXehuf5WevYlp3LBSHBDOsS5W+X8lFQERERqSA94hormPxGOvUjIiIinqWgIiIiIp6loCIiIiKepaAiIiIinqWgIiIiIp6loCIiIiKepaAiIiIinqWgIiIiIp6loCIiIiKepaAiIiIinhXQoOKcu9U5t/+418HOuanOufXOuUXOubBA1iciIiKBFbCg4pwLBx4F3HHNw4BNZhYJPA2MD0RtIiIi4g0BCSrOuZrAFOCukxYlAdMAzGwW0ME55xAREZEqKVAjKn8H/tfM1p7UfgGQcdzrfcC5lVaViIiIeMoZFbVj59xsoH4Ji/4KODP7ZymbFpz0ukYp+78XuBegadOmv7ZMERER8bAKCypmdlVJ7c654cCVzrm0oqZaRc9bAzsoDDc7i5aFALtK2f8kYBJAfHy8nb7KRURExCsq/dSPmf3VzMLNzGdmPiCn6PlhYA7QB8A51wVYY2b5lV2jiIiIeEOFjaj8Sn8FpjjnfgAygdsDXI+IiIgEUMCDipnVOe55DtArgOWIiIiIh+jKtCIiIuJZCioiIiLiWQoqIiLAZ599Rrt27YiMjCQsLIw777zztO37iiuuICUl5bTtT2DAgAF8++23pS5PSkoiPT29EiuSihLwOSoiIoGWkZHBo48+yjfffMN5553H/v37efXVVwNdlpTh7bffLnP5nDlzKqkSqWgaURGRKm/Lli3UqFGDhg0bAnDWWWcxfPhwADIzM/H5fP7Hu+++699u7NixtGzZkrCwMB577DEAZs6cyUUXXUSLFi1ISkri0KFDALz22mvExcURFhbGggULAJg1axYtWrQgOjqatm3bsnLlSgBGjx7NzTffzOWXX05cXBwAI0eOxOfzERMTw8cffwxAcnIybdq0oUuXLkRERDB48GD+8pe/EBsbS2RkJKtWrWLDhg1ERkZiVni5qdTUVNq3b19qrdu2bePGG2+kVatWxMfHs2zZMgBefPFFIiIiCAsLo1+/fiX241tvvUWrVq1o3rw5vXoVfi8iLS2NpKQkYmJiSEhIYOPGjQCEhobyyCOPEBsby9NPP82+ffvo378/rVu3JjY2llmzZrFv3z4aNWrk78P9+/fTtGlT8vPz6datG8nJyeTn5zNgwABatGhB8+bNeemllwBo1aoVmzZtAqB169ZERkYSERHBCy+84K/3008/pX379kRHR9OvXz/y8vJO7QdHKoeZ/e4f7dq1MxGRXys/P98uu+wya9mypQ0ZMsTeffddO3jwoJmZ5eXl2Z49e8zMbOvWrdaoUSMzM/vyyy8tISHBcnNz7ejRozZz5kzLyMiw0NBQ27Jli5mZzZ0713Jzcy0xMdH+9re/WUFBgX3yySd2zTXXmJnZnj17LC8vz8zMpk6dar179zYzs1GjRtlNN91kubm5ZmY2Y8YMu+aaayw/P98yMjKsefPmtmPHDps3b575fD7btm2bHT582Jo2bWrjx483M7P//d//tXvuucfMzK644gpLTk42M7NHH33UXnvttVJr7d69uy1btszMzJYtW2aXXnqp7dmzxxo2bOivdf78+cX6cPXq1dayZUt/X3355ZdWUFBgCQkJtnHjRjMz+/DDD61v375mZtasWTN77733/NsPHjzYPvnkE38/h4WFmZlZ7969bfr06WZmNmXKFBs6dKiZmV1//fU2b948mzFjhnXv3t3/d7V48WIzM4uJifEfd+fOnWZmtn//fmvQoIEdPHjQtmzZYklJSZaTk2NmZkOHDrXXXnut1J8RrwFSzAO/fyvjoVM/IlLlnXHGGcyfP585c+bwzTff8NJLL/H000+zcuVKgoKCGD9+PF988QUHDhxgx44dAMyePZsBAwZQs2ZNALp06cJnn31Gx44dufDCCwG48sor/cfo1KkTzjliYmLYtm0bAHl5eQwfPpz//Oc/HDhwgGbNmvnXv/TSS/37Tk5Opk+fPpxxxhk0aNCAjh07smTJEurWrUuLFi1o1KgRAM2aNeOyyy4DICIigs8//xyAu+++mzfffJNLL72UGTNm8N1335GcnFys1oKCAmbPnk1aWpq/jvz8fGrXrk1ISAj33XcfV155JTfccEOxPpw7dy433XQTISEhAHTt2pWtW7eydOlSrr32WgAKCgpo3Lixf5vOnTv7n8+cOZPZs2f7R7IOHjzIvn37uP322/nHP/7BzTffzNSpU3n22WdPOG5kZCRLlixh+PDhdOrUyX+s402bNo3333+f3bt3s3fvXnbt2sXChQtZuXKlf8QqLy+PunXrFttWAk+nfkREKAwrXbp04ZlnnuHbb78lJCSENWvWMGbMGL7//nu+/PJLUlNTqVWrFoD/VMrxSmo7WfXq1f3r9evXj+bNm7NkyRLef//9cm1/7Dgl3Vi+WrVqJzw/tr+bb76ZuXPn8tZbb3HVVVdx1llnlVp/UFAQa9euJS0tjbS0NDZs2EBQUBDLly+na9euLF68mLZt25Kfn19s25MVFBTQrFkz/77Wr1/PvHnzSnxPBQUFzJ8/37/uzp07qVu3Ll26dCElJYUffviBbdu2ER8ff8J20dHRLFu2jPDwcF599VUGDhx4wvJ33nmH9957j6lTp5KamkpERARmRkFBAbfeeqv/eBs3biwWgsQbFFREpMqasSKdy8fO5fy+Y2h+40N88G3h/ImtW7eSnZ1NREQEWVlZJCYmUr9+fVatWsXhw4cBSEhI4N133yUvLw8z4+uvv6Z9+/YsWLDA/22TpUuX+udXlCQrK4vrrruO4OBg/1yQkiQmJvL+++9z9OhRMjMz+eabb+jQoUO532fNmjXp2bMnjzzyCPfeey9AibXm5+fToUMHxo8fDxSOpsyePZuMjAxSUlLo1asX48eP59ChQ+Tk5JxwjE6dOvHRRx+xd+9eABYuXEiTJk0A/HNqcnNzmT9/fok1Xn311Tz33HP+EPHvf/8bKAyQPXv2pH///iXOjVm2bBmHDh3i3nvvZcyYMaxbt+6E5VlZWVx88cU0adKEzZs3k5mZ6a/3008/ZcOGDQDs2LHDP0dIvEVBRUSqpBkr0hnx0SrSs3Opfta57Fi7hNuuuZSmLaLo3bs3r732GmeffTaDBw/m9ddfx+fzMW7cOKpXrw5Ajx49uOyyy2jVqhWRkZF89NFHNGrUiL/97W9cc801+Hw+nnzyyTJrGD16NDfeeCMxMTEsXLiw1PV69OhBmzZtaNmyJYmJiTz33HOcd955p/R+e/bsSVRUlH9EorRa33jjDebMmUNUVBTh4eHMmjUL5xxPPfUUYWFhxMXFMXLkSM4+++wT9h8XF8fgwYPp0KEDkZGRTJgwAecc06dPZ/z48URFRdGyZUuWL19eYn1jx44lIyMDn89HWFgYU6ZM8S+7/fbbSUlJoX///sW2y83NpXv37kRERHDHHXecMFkWoH///ixatIjIyEgefvhhgoKCAAgLC2PChAncdNNNRERE0LlzZ7Kysk6pT6VyuPIONXpZfHy86RoFInIqLh87l/Ts3GLtjUOC+ebJziVs8fv2xBNPEB4ezv333x/oUuQ0cM4tM7P4X17z90+TaUWkStpWQkgpq/33LDc3l/fff5/Vq1cHuhSRU6ZTPyJSJV0QEnxK7b9nwcHB/Pzzz/pWi/wuKaiISJU0rEsUwUHVT2gLDqrOsC5RAapIREqiUz8iUiX1iCu8nsfzs9axLTuXC0KCGdYlyt8uIt6goCIiVVaPuMYKJiIep1M/IiIi4lkKKiIiIuJZCioiIiLiWQoqIiIi4lkKKiIiIuJZCioiIiLiWQoqIiIi4lkKKiIiIuJZf4i7JzvndgGbA13HKagPZAa6CA9T/5RN/VM69U3Z1D9l+z31TzMzaxDoIirDHyKo/N4451Kqyu25fw31T9nUP6VT35RN/VM29Y836dSPiIiIeJaCioiIiHiWgkpgTAp0AR6n/imb+qd06puyqX/Kpv7xIM1REREREc/SiIqIiIh4loJKBXPOJTvnNjnn0ooefy5qv945971z7kfn3IOBrjNQSuof51y4c26ec26tc26Fc65ToOsMFOdckHPuhaKfky3OuXOcc+c652Y659YX/Vkv0HUGSin980TR6zTn3P8556rEVzhLUlL/HLeshXNur3OuSn7LpbS+0Wez95wR6AKqiFvMLOXYi6JfvE8BV5vZTudc9cCV5gkn98/nwEtm9olz7mLgbSAqYNUF1kRgOxBxXNubwMdm9ppz7j5gNPBQAGrzgpL6ZyXQ2sxynHMjgZHAowGozQtK6h+cc2cCU4DdAajJK4r1jT6bvUlBJTCGA4+b2U4AMzsa4Hq8piZw7H/B24HDAawlYJxz5wOXAbF23GQy51wS8FjRy2nAMqpgUCmtf4DZxz1fBfSr1MI8ooz+ARhP4cTRuyq9MA8o49+WPps9SKd+Kp4B051z65xzf3fOnQFcBAxxzq12zi1xzl0a2BIDqqT+GQo855ybCbwB3B3QCgOnFYX9M7eof951ztUGzjWzbAAz2wtU1VM/pfXP8foDcyq/NE8osX+cc32BM8zsnQDXF0il/exchD6bPUdBpeJ1NbNQIA5oBNwLnA0MM7NWFP5S/sA55wJXYkCV1D/3An8CRgBZVMHRgiINgfVAF6AlsBMYReEH7PFqVHJdXlFa/wBQNL/gXGByQKoLvJL652VgCIWfO1VZaT87+mz2IAWVCmZmh4r+zAE+A6KBAxT+w8DMvqXw1EaV/F9xKf1zB/Cama0ws75AknOufgDLDJQ9wEEzyysagp5BYf/scc7VAXDOnU3VnWdQWv/gnBsA3A7cXIWH70vqnybAhcAK51wa0IHCEc2OgSszIEr72dFnswcpqFQg51xN59wVRc+DgJ7Af4B/Aw8WtbcC8swsK0BlBkwZ/bMZuKGoPRLIo2r+Mv4GSHDOhRa97gosAeYCvYva+lB1T22U2D/OuXuBeygcrdsbqOI8oKT+mW9mzczMZ2Y+4FsKJ7N/HagiA6S0f1v6bPYgXfCtAjnngoFZFP4v5jCFIwbDgXMoHI6OoDDZP2Bm3wWqzkApo39igf+lsJ/2AY+a2TeBqjOQnHNXAS8AQcBiCj9E6wLvAqHAJuA2M9sVoBIDqpT+WVe0+NCx9Yp+KVc5JfWPmeUdtzwZeOL4b91VFaX87NRBn82eo6AiIiIinqVTPyIiIuJZCioiIiLiWQoqIiIi4lkKKiIiIuJZCioiIiLiWQoqIlWMc67guLtVpznnxpzi9j2ccy1PUy2hzrn007EvEflj0k0JRaqenN94XZEewOdA6m8pwjn3KIW3Saj1W/YjIn9suo6KSBXjnDtgZnVOansNSKLwPkLfAgPN7Ihzrj2F94c5l8L7Lg2n8MJ8B4D9FF4h9yjwOoUX6FsF3GVm+4ouJpYGXAIsNbN7yluPiMgxCioiVYxzroDCG7IdkwiYmWUULZ8JvEThpfpTKbxfznfOuYsovA/KGOBzM5tetP5y4BEzW+Cc+2/gbDN7oiiofAGMszI+aBRURKQsOvUjUvUUO/XjnLvWOTcUCAPOB84DooDtxy4hbmYri9Y9fru6wLlmtqCo6Z/Ah8ftel5ZIUVE5JcoqIhUcUU3ZnsLuB5YRuGpHlf0+MXNS3itYCIip42+9SMiIcBWCkNKLeDYaMt6oKlzLhYK72TtnDuPwpu1NS1aZx+w2znXseh1X2B+JdUtIlWAgopIFVd0SmcV8BPwFXBmUfsh4HbgbedcGoWjLtWBKcCDzrkfgNbAQGBc0TptgWfKc1zn3APOuRQg2DmX4pzrezrfl4j8MWgyrYiIiHiWRlRERETEsxRURERExLMUVERERMSzFFRERETEsxRURERExLMUVERERMSzFFRERETEsxRURERExLP+fwxIuMvRGZPaAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,ax = subplots(figsize=(8,5))\n", "i1,i2=0,1\n", "ax.scatter(Q[i1,:],Q[i2,:]);\n", "[text(Q[i1,i], Q[i2,i]+0.5, spec[_s]) for i,_s in enumerate(spec)];\n", "xlabel('Factor 1'); ylabel('Factor 2');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Можно сделать ембеддинг и по трем компонентам, но объемные картинки сложнее для восприятия." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D\n", "figure(figsize=(12,8))\n", "ax=subplot(111, projection='3d')\n", "ax.scatter(Q[1,:],Q[2,:],Q[0,:])\n", "ax.view_init(20, 35)\n", "# добавим подписи к некоторым точкам\n", "for i in [0, 1, 5, 6]:\n", " ax.text(Q[1,i],Q[2,i],Q[0,i],spec[A.columns[i]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Если по двум первым факторам кишечная палочка (E. coli) была близка к млекопитающим, то в трехмерном отображении она удалилась, и картина в целом стала больше соответствовать эволюционной дистанции между видами." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }