{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [], "toc_visible": true }, "kernelspec": { "name": "ir", "display_name": "R" }, "language_info": { "name": "R" } }, "cells": [ { "cell_type": "markdown", "source": [ "# 第4回 データ可視化" ], "metadata": { "id": "mY8HaWJe8-Uk" } }, { "cell_type": "markdown", "source": [ "[![open in colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/slt666666/biostatistics_text_wed/blob/main/source/_static/colab_notebook/chapter4.ipynb)" ], "metadata": { "id": "hzBgxdO-ZWMq" } }, { "cell_type": "markdown", "source": [ "## はじめに\n", "\n", "前回の記述統計学では、データを手にした際に、どの様にデータの特徴を捉えるかを扱いました。\n", "\n", "その際に、ヒストグラムや散布図、分割表等、視覚的にデータを捉える重要性を確認しました。\n", "\n", "今回は統計学自体からは少し離れたトピックになりますが、データを可視化する方法について扱います。\n", "\n", "前回の章でも、Rに元からある関数`plot`や`hist`、`boxplot`を用いることで、簡単なグラフは作成出来ました。\n", "\n", "しかし、第2章のRについての講義でも触れた様に、他者の作成したパッケージ(関数をまとめたもの)を利用することで、より綺麗なグラフを簡単に作成出来る関数を使用することが出来るようになります。\n", "\n", "その代表例が`ggplot2`というパッケージになります。\n", "\n", "\"ggplot2_logo\"\n", "\n", "[ggplot2の公式ページ](https://ggplot2.tidyverse.org/)\n", "\n", "ggplot2はHadley Wickhamによって開発されたデータ可視化のためのパッケージで、Rを使用する殆どのユーザーがグラフ描写に使用しているパッケージになります。\n", "\n", "(Hadley WickhamはRstudioのチーフサイエンティスト・統計学者で、`tydyverse`等のパッケージを開発し、Rの普及に多大なる貢献をしています。)\n", "\n", "研究室に配属された後、グラフ等を作成する機会は非常に増えるかと思いますが、その時にggplot2等を用いてグラフを作成出来る様になっておくと非常に役立ちます。\n", "\n", "また、以降の講義でも一部のグラフの作成には`ggplot2`を使用する予定です。\n", "\n", "そこで、本章では`ggplot2`の基本的な使い方を扱います。\n" ], "metadata": { "id": "N8IxTbHm9CE2" } }, { "cell_type": "markdown", "source": [ "## ggplot2のインストール\n", "\n", "ggplot2を使うにはggplot2をRへインストールする必要があります。\n", "\n", "ただ、Google Colaboratoryでは、代表的なパッケージは既にインストールされているので今回はインストールする必要はありません。\n", "\n", "もし自分のPCでRを動かして`ggplot2`を使用する場合には`install.packages`関数でインストールする必要があります。\n", "\n", "`install.packages(\"インストールしたいパッケージ名\")`" ], "metadata": { "id": "AZZIYxA07nQo" } }, { "cell_type": "code", "source": [ "# パッケージのインストール\n", "install.packages(\"ggplot2\")" ], "metadata": { "id": "V3Nsddw080q5", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "edb030ac-29da-46c7-fc88-71351cb4d699" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "Installing package into ‘/usr/local/lib/R/site-library’\n", "(as ‘lib’ is unspecified)\n", "\n" ] } ] }, { "cell_type": "markdown", "source": [ "## ggplot2パッケージの読み込み\n", "\n", "Rの基本の所でも扱いましたが、パッケージはインストールしただけでは使用できるようにはなりません。\n", "\n", "`library`関数で必要なパッケージを明示的に読み込ませる必要があります。\n", "\n", "`library(パッケージ名)`\n", "\n", "パッケージの読み込みはRを起動する度に行う必要があります。" ], "metadata": { "id": "FJfLzP-o9zZA" } }, { "cell_type": "code", "source": [ "# パッケージの読み込み\n", "library(ggplot2)" ], "metadata": { "id": "PSbIvy9a9Bd0" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "## ggplot2による作図の基本\n", "\n", "ggplot2を使用することで、散布図や棒グラフ、箱ひげ図等様々な図を作成できますが、\n", "\n", "その使用方法は概ね下記の様な流れになります。\n", "\n", "1. `ggplot`関数にデータを渡し、どのデータを可視化するか指定する。例) x軸にどの値を使用するか、等。\n", "2. `geom_xxx`関数(`geom_point`や`geom_histogram`等)で、自分が作りたい図(散布図なのかヒストグラムなのか…etc)の層 (layer) を加える。\n", "3. 軸ラベル (labs)や凡例 (legend)等、細かい設定を追加する。\n", "4. 図を表示・保存する。\n", "\n", "ここからそれぞれについて見ていきます。" ], "metadata": { "id": "pFNQWE6r_Jk0" } }, { "cell_type": "markdown", "source": [ "まずは前回使用したデータを用いて、草丈(Height)と葉身長(Leaf_length)の散布図を描くことを目標に進めていきます。\n", "\n", "ggplot2では`plot`関数とは異なり、`データフレーム`の形式でデータを入力する形になります。\n", "\n", "まずは`read.csv`関数でCSVファイルのデータをデータフレームとして読み込んでおきます。\n", "\n", "`read.csv(\"ファイルのURL/パス\")`" ], "metadata": { "id": "3PggE5c1WTqy" } }, { "cell_type": "code", "source": [ "# サンプルデータをdfに読み込み\n", "df <- read.csv(\"https://raw.githubusercontent.com/slt666666/biostatistics_text_wed/refs/heads/main/source/_static/data/chapter3_data.csv\")\n", "head(df)" ], "metadata": { "id": "7vJTYRjZ76ID", "colab": { "base_uri": "https://localhost:8080/", "height": 286 }, "outputId": "3a4dca2a-b24b-41ba-a5f0-e383ed2671b8" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
A data.frame: 6 × 7
XFlowerResistanceAgeHeightLeaf_lengthLeaf_width
<chr><chr><chr><int><dbl><dbl><dbl>
1サンプル1YellowNormal 165.788277.8345661.2310844
2サンプル2PurpleWeak 126.705464.6540800.6596468
3サンプル3Blue Very strong1831.673946.6576420.5777713
4サンプル4Blue Very strong 241.595294.5305261.0155126
5サンプル5Blue Very strong 440.183886.6217760.5938072
6サンプル6Blue Very strong 428.851236.4525880.3979530
\n" ], "text/markdown": "\nA data.frame: 6 × 7\n\n| | X <chr> | Flower <chr> | Resistance <chr> | Age <int> | Height <dbl> | Leaf_length <dbl> | Leaf_width <dbl> |\n|---|---|---|---|---|---|---|---|\n| 1 | サンプル1 | Yellow | Normal | 1 | 65.78827 | 7.834566 | 1.2310844 |\n| 2 | サンプル2 | Purple | Weak | 1 | 26.70546 | 4.654080 | 0.6596468 |\n| 3 | サンプル3 | Blue | Very strong | 18 | 31.67394 | 6.657642 | 0.5777713 |\n| 4 | サンプル4 | Blue | Very strong | 2 | 41.59529 | 4.530526 | 1.0155126 |\n| 5 | サンプル5 | Blue | Very strong | 4 | 40.18388 | 6.621776 | 0.5938072 |\n| 6 | サンプル6 | Blue | Very strong | 4 | 28.85123 | 6.452588 | 0.3979530 |\n\n", "text/latex": "A data.frame: 6 × 7\n\\begin{tabular}{r|lllllll}\n & X & Flower & Resistance & Age & Height & Leaf\\_length & Leaf\\_width\\\\\n & & & & & & & \\\\\n\\hline\n\t1 & サンプル1 & Yellow & Normal & 1 & 65.78827 & 7.834566 & 1.2310844\\\\\n\t2 & サンプル2 & Purple & Weak & 1 & 26.70546 & 4.654080 & 0.6596468\\\\\n\t3 & サンプル3 & Blue & Very strong & 18 & 31.67394 & 6.657642 & 0.5777713\\\\\n\t4 & サンプル4 & Blue & Very strong & 2 & 41.59529 & 4.530526 & 1.0155126\\\\\n\t5 & サンプル5 & Blue & Very strong & 4 & 40.18388 & 6.621776 & 0.5938072\\\\\n\t6 & サンプル6 & Blue & Very strong & 4 & 28.85123 & 6.452588 & 0.3979530\\\\\n\\end{tabular}\n", "text/plain": [ " X Flower Resistance Age Height Leaf_length Leaf_width\n", "1 サンプル1 Yellow Normal 1 65.78827 7.834566 1.2310844 \n", "2 サンプル2 Purple Weak 1 26.70546 4.654080 0.6596468 \n", "3 サンプル3 Blue Very strong 18 31.67394 6.657642 0.5777713 \n", "4 サンプル4 Blue Very strong 2 41.59529 4.530526 1.0155126 \n", "5 サンプル5 Blue Very strong 4 40.18388 6.621776 0.5938072 \n", "6 サンプル6 Blue Very strong 4 28.85123 6.452588 0.3979530 " ] }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "### 1. データの指定\n", "\n", "データを読み込んだら、まずは`ggplot`関数でどのデータを使い、どの列のデータをグラフにするか指定します。\n", "\n", "`ggplot`関数は\n", "* 1つ目の引数にデータフレームの名前\n", "* 2つ目の引数では`aes` (aestheticsの略) という関数でデータフレーム内のどの列を何のために使うか\n", "\n", "をそれぞれ指定します。例えばx軸とy軸にデータがある場合は…\n", "\n", "```\n", "ggplot(データフレーム名, aes(x=列名, y=列名)) # データの指定\n", "```\n", "\n", "今回は草丈(Height)をx軸、葉身長(Leaf_length)をy軸として散布図を作成します。" ], "metadata": { "id": "Ho8ZBnFeIqmZ" } }, { "cell_type": "code", "source": [ "# グラフ化するデータの指定\n", "g <- ggplot(df, aes(x=Height, y=Leaf_length))\n", "g" ], "metadata": { "id": "TgcSD22nIoUf", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "3343bae4-0a26-4eab-cde9-54a6d9304a45" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "データを指定しただけだと何のグラフを描くのか指定していないので、キャンバスだけが描写されているかと思います。\n", "\n", "そこで次に指定したデータを用いてどんなグラフを描くのかを関数で指定します。" ], "metadata": { "id": "9-RNOYzrboxw" } }, { "cell_type": "markdown", "source": [ "### 2. グラフの種類の指定\n", "\n", "使用するデータを指定したら、次は作図したいグラフに応じたgeometric objects(グラフのこと)を指定します。\n", "\n", "geometric objectsには様々なものがありますが、例えば\n", "\n", "* geom_point:散布図\n", "* geom_line:折れ線グラフ\n", "* geom_smooth:平滑化されたグラフ\n", "* geom_bar:棒グラフ\n", "* geom_histogram:ヒストグラム\n", "* geom_polygon:ポリゴングラフ\n", "* geom_map:地図グラフ\n", "* geom_dotplot:ドットグラフ\n", "\n", "等があります。\n", "\n", "今回は散布図を描きたいので、`geom_point`を使用します。\n", "\n", "`ggplot`では`+`でどんどん要素を追加していく形でコードを書いていきます。\n", "\n", "先ほど`ggplot`関数でデータを指定したところに`+`で`geom_point()`を追加していきます。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=列名, y=列名)) # データの指定\n", "g <- g + geom_point() # グラフの指定\n", "```\n", "\n", "また、使用するグラフによって`aes()`の中で指定すべきものが変わります。" ], "metadata": { "id": "a5G9ojc2cDso" } }, { "cell_type": "code", "source": [ "# 散布図を要素に追加\n", "g <- ggplot(df, aes(x=Height, y=Leaf_length))\n", "g <- g + geom_point()\n", "g" ], "metadata": { "id": "OCNv9r8laNnc", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "46f49e4c-3e41-4438-ea65-e2d407516b9a" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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Diq9ffuNx4bYzyYl0YH1aNKu3jzQySI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\ne89ePAAAAABJRU5ErkJggg==" }, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "描くグラフを散布図(`geom_point`)と指定したので、今度はキャンバスの上にx,yに指定したデータが使用された散布図が描かれました。\n", "\n", "Rの`plot`関数で描いたものよりも何となく良い感じに見えるのではないでしょうか。" ], "metadata": { "id": "PhKQVR5ke2u4" } }, { "cell_type": "code", "source": [ "#参考(パッケージ無しの場合)\n", "plot(df$Height, df$Leaf_length)" ], "metadata": { "id": "xSZyPo-0fdF6", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "bc14e7ff-8325-434b-8015-a70b3d583b8d" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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yqOrrRuqbOpICRAQRfXJR4F542xyS3WdjMOT8hyjqTKxEIDM5wpPpwuN9uymTqc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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "※一応、ggplot2もRのコードで作成されているので、`plot`関数のオプションや他のRに元々ある図形描写関数等を駆使すればggplot2で描くことが出来るグラフと全く同じものを作成する事は可能です。滅茶苦茶がんばれば。" ], "metadata": { "id": "W47xNQEhgFK4" } }, { "cell_type": "markdown", "source": [ "### 3. 軸ラベルなどの追加\n", "\n", "基本的なグラフは先ほどのステップで描くことが出来ましたが、ラベルやタイトル等細かい部分の設定も同じように追加していくことが出来ます。\n", "\n", "例えば今のままだと軸のラベルがHeightやLeaf_lengthとなっているので、その部分を変えてみます。ついでに図のタイトルも追加します。\n", "\n", "`labs`でラベルやタイトルを編集することが出来ます。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=列名, y=列名)) # データの指定\n", "g <- g + geom_point() # グラフの指定\n", "g <- g + labs(x=\"x軸ラベル名\", y=\"y軸ラベル名\", title=\"タイトル名\") # ラベルなどの設定\n", "```" ], "metadata": { "id": "7dPw957NgknE" } }, { "cell_type": "code", "source": [ "# 軸のラベルとタイトルを付与\n", "g <- ggplot(df, aes(x=Height, y=Leaf_length))\n", "g <- g + geom_point()\n", "g <- g + labs(x=\"Plant height (cm)\", y=\"Leaf length (cm)\", title=\"Scatter plot of plant height & Leaf length\")\n", "g" ], "metadata": { "id": "XWQPlWxAeD8M", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "c478a381-40d5-4b86-8c3d-b623657b2220" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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GtfPGEiDkTSD0SihEik9AQu0oiAa/E8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\nvhxWIXOV37WfjWx0WbgSVlBz6P52r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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "この様に、`g <- g + 新しい要素や設定`という形で、どんどんグラフにラベル等の設定や要素を追加していくことが出来ます。" ], "metadata": { "id": "1qBGA15HRCXY" } }, { "cell_type": "markdown", "source": [ "当然、新しいグラフを追加し、1つのキャンバスに複数のグラフを描写することも可能です。\n", "\n", "講義ではまだ扱っていませんが、散布図では回帰直線を描くことが多いです。\n", "\n", "回帰直線は`geom_smooth`というgeometric objectsになるので追加してみましょう。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=列名, y=列名)) # データの指定\n", "g <- g + geom_point() # グラフの指定\n", "g <- g + geom_smooth(method = \"lm\") # 回帰直線の追加\n", "g <- g + labs(x=\"x軸ラベル名\", y=\"y軸ラベル名\", title=\"タイトル名\") # ラベル等の設定\n", "```\n", "\n", "※`method = \"lm\"`という部分で線形モデルを指定しています" ], "metadata": { "id": "lndUO0mml9Xu" } }, { "cell_type": "code", "source": [ "# 散布図にgeom_smoothで回帰直線を追加\n", "g <- ggplot(df, aes(x=Height, y=Leaf_length))\n", "g <- g + geom_point()\n", "g <- g + geom_smooth(method = \"lm\")\n", "g <- g + labs(x=\"Plant height (cm)\", y=\"Leaf length (cm)\", title=\"Scatter plot of plant height & Leaf length\")\n", "g" ], "metadata": { "id": "AqqywGKok2Rm", "colab": { "base_uri": "https://localhost:8080/", "height": 456 }, "outputId": "672c9acb-4b20-454a-815a-aa04ed9039c5" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "\u001b[1m\u001b[22m`geom_smooth()` using formula = 'y ~ x'\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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zubkWZcXFxee+21Tp068Xg8RhowL0ql8vjx47r1P/74w/jNMAjBDgAA4B8rVqzQ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\ny0QY5zoJpYrE33FefqCdZqrzalb63fRCZlMdYeSWYv/973+fP3+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wAwAAsHw1zfBHzSdMXf3q6empG+w0z0hjsVhdunTp0qWLunLp0iV1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EYGAgb14x1/Xr13V0dBAEaW1t/euvv1xdXWWSI8pjVnAAACAASURBVABAviIiIgYO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FoJwY4E5pDqquu4+6/63zMaqJvYO0eAgToA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" }, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "この様な形で、`g + geom_XXX()`と足していくことで、複数の要素を描くことが可能です。\n", "\n", "また、フォントサイズなども調整可能で`theme`関数を用いて調整できます。" ], "metadata": { "id": "WnYsPDkERKQQ" } }, { "cell_type": "code", "source": [ "# フォントサイズを調整\n", "g <- ggplot(df, aes(x=Height, y=Leaf_length))\n", "g <- g + geom_point()\n", "g <- g + geom_smooth(method = \"lm\")\n", "g <- g + labs(x=\"Plant height (cm)\", y=\"Leaf length (cm)\", title=\"Scatter plot of plant height & Leaf length\")\n", "g <- g + theme(text = element_text(size = 18))\n", "g" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 456 }, "id": "WPE2ortCRgsw", "outputId": "a260dfa5-7352-4147-a7f2-4d08a0c8e46d" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "\u001b[1m\u001b[22m`geom_smooth()` using formula = 'y ~ x'\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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l2xYgVBEEePHr106VJERISvr29ZWVlsbCx1q6tx48bffvstk4FCLYMz01IgsQMA\nMC/Lli3jcDg//PBDZWWlRCLZv3+/2godOnQ4fPiwra0tI+FBrYUz0yLgViwAgHnhcDjLli17\n9uzZF1988eGHH4rFYi6X6+Dg0KhRo9GjRx8/fvzGjRvkNHQApoQz0yJwlP8dThAAAAAALBpa\n7AAAAABYAokdAAAAAEsgsQMAAABgCSR2AAAAACyBxA4AAACAJZDYAQAAALAEEjsAAAAAlsDM\nEwYpKCiQy+VMR2GObG1thUKhRCKRyWRMx8IGAoGAx+MVFxczHQhLuLq6ymQyiUTCdCAsIRaL\nJRIJRkWlhUgkEolEUqm0oqKC6VjYgM/n8/n8oqIipgOhE5fLdXJyqmopWuwAAAAAWAKJHQAA\nAABLILEDAAAAYAkkdgAAAAAsgcQOAAAAgCWQ2AEAAACwBBI7AAAAAJZAYgcAAADAEkjsAAAA\nAFgCiR0AAAAASyCxAwAAAGAJJHYAAAAALIHEDgAAAIAlkNgBAAAAsAQSOwAAAACWQGIHAAAA\nwBJI7AAAAABYAokdAAAAAEsgsQMAAABgCSR2AAAAACyBxA4AAACAJZDYAQAAALAEEjsAAAAA\nlkBiBwAAAMASSOwAAAAAWAKJHQAAAABLILEDAAAAYAkkdgAAAMAqRUVFGRkZTEfBDCR2AAAA\nwBJJSUmDBg3y9/dv3rx506ZNd+3axXREpsZjOgAAAAAAGkgkkqFDh6amppJvs7OzZ8yY4ejo\nGBERwWxgpoQWOwAAAGCD3bt3U1kdZfHixYwEwxQkdgAAAMAGSUlJmoXJyckVFRWmD4YpSOwA\nAACADZydnTUL7e3tra2tTR8MU5DYAQAAABsMGjRIIBCoFY4YMYLD4TASDyOQ2AEAAAAbNGvW\nbMmSJaq5XceOHZctW8ZgSKaHXrEAAADAEuPGjevevfvly5cLCgpatGgRHh4uEAiKioqqublS\nqTx27NitW7cIgujQocNHH31kca19HKVSyXQMFqygoEAulzMdhTmytbUVCoUSiUQmkzEdCxsI\nBAIej1dcXMx0ICzh6uoqk8kkEgnTgbCEWCyWSCT4b0ILkUgkEomkUmmtet7fePh8Pp/Pr2Zi\nJ5fLhw8ffuXKFaqkS5cu+/bt4/HMqxWMy+U6OTlVtRS3YgEAAACILVu2qGZ1BEFcuXJly5Yt\nDIWjJyR2AAAAYC6KiopiY2OvX7+en59v4qpPnTpVzUJzhsQOAAAAzMLhw4eDg9IK7OUAACAA\nSURBVIP79+8/aNCgli1bbt682ZS1l5aWahaWlJSYMgbDIbEDAAAA5t27d2/27NlUQ11JSck3\n33xz4sQJkwXQvHlzzcIWLVqYLABaILEDAAAA5m3btq28vFyt0JSNdnPnzlUb4tjZ2Xnu3Lkm\nC4AWSOwAAACAeenp6ZqFaWlpJgvA09PzxIkTERERjo6Ojo6Offr0OXnypKenp8kCoIV59eAF\nAACA2klrCuXl5WXKGBo2bLhr1y5T1kg7tNgBAAAA88aPH69ZOHnyZNNHYtGQ2AEAAADzQkJC\n1q1b5+joSL4VCAQLFy786KOPmI3K4uBWLAAAAJiF4cOH9+nT5+HDh5WVlc2bN3d1dWU6IsuD\nxA4AAADMhaOjY1hYGNNRWDDcigUAAABgCSR2AAAAACyBxA4AAACAJZDYAQAAALAEEjsAAAAA\nlkBiBwAAAMASGO7EIHw+39ramukozBGPxyMIQiAQkC/AQDwez8rKSigUMh0Ie+B40og8mEql\nkulA2ID8n8Ln87lcLtOxsAGXy+VyuSy72Dkcjo6l+KdrEKVSie8yrcjDguNDF+p4Mh0Iq+B4\n0ggXO13w5fleJSUlz58/d3R0rFevnu4Uh1KrDiYSO4PIZDK5XM50FOaI/K1ZUVEhk8mYjoUN\nBAKBUqksKytjOhCWsLOzUygUOJ50sbGxKSsrq1X/O43HysqKz+fLZLKKigqmYzFHa9asWb16\ndUlJCUEQTZs2Xbt2bcuWLXWsz+fz+Xw+yy52Lpdra2tb1VI8YwcAAAAWYOfOncuWLSOzOoIg\n/vnnnxEjRmRnZzMblblBYgcAAAAWYPXq1WolWVlZe/bsYSQYs4XEDgAAAMxdRUVFenq6ZvnL\nly9NH4w5Q2IHAAAA5o7P54vFYs1yd3d30wdjzpDYAQAAgAUYPXq0WolQKPzPf/7DSDBmC4kd\nAAAAWIC5c+f279+feuvg4LB27dpGjRoxGJIZwnAnAAAAYAH4fP727dufPHny6NEjR0fHDh06\nODs7Mx2U2UFiBwAAABajWbNmzZo1YzoK84VbsQAAAAAsgcQOAAAAgCWQ2AEAAACwBBI7AAAA\nAJZAYgcAAADAEkjsAAAAAFgCw50AAACwwe3bt8+fPy+VSlu0aDF06FA+n890RMAAJHYAAAAW\nb8mSJevXr6febtmy5cSJE05OTtXZNj09/d69exwOp3Xr1p6enkaLEUwBt2IBAAAs27Vr11Sz\nOoIgEhMTv/766+psu3r16jZt2owfP37cuHFt2rRZs2aN2gppaWkzZ85s165d586dFyxYkJeX\nR1vcYARosQMAALBsp06d0iw8ceLExo0bdW948uTJ5cuXU2/Ly8uXLVvWuHHjiIgIsiQjI6N7\n9+5UMhcfH3/x4sVLly7Z2trSFDvQDC12AAAAlq24uFizsKysrLKyUveGO3fu1CzcsWMH9fr7\n779Xa6J7+fLl2rVr9QoTTAGJHQAAgGXTOndqYGAgl8vVvWFmZqbuwjt37miuEBcXV8MAwXSQ\n2AEAAFi20aNHN2nSRK1w6dKl793Q19dXs9Df3596bW1trbmC1kIwE0jsAAAALJuNjc3hw4eH\nDx/u7OzM5/NDQkKOHDnSvn37924YFRWlu7Br166aK3Tr1s2QaMGoOEqlkukYLFhBQYFcLmc6\nCnNka2srFAolEolMJmM6FjYQCAQ8Hk/rYzSgB1dXV5lMJpFImA6EJcRisUQiwX8TWohEIpFI\nJJVKKyoq9NuDQqGwsqpBq83hw4e//vrr3NxcgiBcXV2XLVs2aNAgamlhYWF4ePjz58+pktDQ\n0CNHjvB4ltH5ks/n8/n8oqIipgOhE5fL1TGQjWX8YQAAAKA6apTVEQQxePDg/v37JyQkEATR\nuHFjgUCgutTe3v7SpUvbtm27c+cOj8fr3LnzqFGjLCWrq53wtwEAAKDfy5cvly1bdu/ePS6X\n27lz53nz5tWtW5fpoLQTCATNmzevaqlQKJwxY4Yp4wFDILEDAACgWWpqanh4OHW7f8+ePdeu\nXbt8+bKDgwOzgQHrofMEAAAAzb777ju1hzhfv36N4d/ABJDYAQAA0Oz+/fuahffu3TN9JFDb\nILEDAACgmVoXBBKfzzd9JFDbILEDAACgWc+ePTULw8PDTR8J1DZI7AAAAGg2b948takgunbt\nOnbsWKbigdoDvWIBAABoJhKJLly4sGvXrr///pvP53fq1GnIkCE1HWEOQA9I7AAAAOjH5/Mn\nTJgwYcIEenf79u3bv/76Kz09vX79+oMGDbKzs6N3/2DpkNgBAABYhkuXLk2YMKGwsJB8+9NP\nPx08eFDtni/UcmgWBgAAsAAFBQVTp06lsjqCIDIzMydNmqRQKBiMCswNEjsAAAALcP369by8\nPLXCf//9Nz4+npF4wDwhsQMAALAAUqlUa7naFBdQy+EZOwAAAAvQuHFjzUIul6u1HEilpaVy\nuZzpKEwKLXYAAAAW4MMPP+zfv79a4YwZM1xcXBiJx8zFxcWFh4d7eHjUqVOnV69ed+/eZToi\nE0GLHQAAQHW9fPlyz549qampvr6+I0eO9PPzM2Xt69at8/Ly2rt3b2FhoYuLy9SpU6OiokwZ\ngKVISkoaPHhwSUkJQRBKpfL+/fuDBw++ePFigwYNmA7N6DhKpZLpGCxYQUFBbWvjrSZbW1uh\nUCiRSGQyGdOxsIFAIODxeMXFxUwHwhKurq4ymQxPJtFFLBZLJJLa8N/k9OnTEyZMqKioIN8K\nBIIdO3ZonT1MbyKRSCQSSaVSqhatCgoKxGIxjfWyzKRJk44ePapWGBkZuWXLFkbioReXy3Vy\ncqpqKW7FAgAAvF9hYeGsWbNU863y8vLp06cz8osLWZ1uCQkJmoX//vuv6SMxPSR2AAAA7xcX\nF5efn69WmJeXFxcXx0g8oIOjo2M1C9kHiR0AAMD7lZaWai0vKyszcSTwXoMGDdIsjIyMNH0k\npofEDgAA4P2aN2+uWcjj8Vq0aGH6YEC3MWPG/Oc//1EtGTp06KhRo5iKx5TQKxYAAOD9fHx8\nZs+evWbNGtXCzz77zMPDg6mQoCocDmfTpk0jR468c+cOl8sNCQlp164d00GZCBI7AACAapk/\nf763t/eOHTtSUlL8/f3Hjx//ySefMB0UVKl9+/ZdunTh8/lFRUVMx2I6SOwAAACqxcrKasyY\nMWPGjGE6EIAq4Rk7AAAAAJZAYgcAAADAEkjsAAAAAFgCiR0AAAAASyCxAwAAAGAJJHYAAAAA\nLIHEDgAA4P0kEklcXFxKSopCoWA6FoAqYRw7AABgm8LCwt9+++3Ro0f29vbh4eH9+vUzZG+V\nlZVLly7dunWrTCYjCKJ58+br1q0LDAykKVgAOiGxAwAAVsnKyurZs+ebN2/It/v27Rs2bNj6\n9ev13uHatWs3bNhAvX38+PHIkSMvX74sFosNjRWAbrgVCwAArDJv3jwqqyPt37//1KlT+u1N\nLperZnWktLS0w4cP6xkfgDEhsQMAAFa5cOFCNQurIz8/v7CwULP81atX+u0QwKiQ2AEAAHso\nlUq5XK5ZXlFRod8OHR0dBQKBZrm7u7t+OwQwKiR2AADAHhwOp2XLlprlrVu31m+HfD5/xIgR\naoWOjo4DBw7Ub4cARoXEDgAAWCU6OlqtjS04OHjkyJF67/Dbb7/t3bs39dbNze2XX37x9PTU\nP0QAo0GvWAAAYJXmzZufOXPmhx9+ePjwob29fa9evT777DNra2u9dygUCnfv3v306dOnT5+6\nurq2bdvW3t6exoABaITEDgAA2CYoKGj37t207zMoKIjefQLQDrdiAQAAAOiRnJzMbABosQMA\nAGA5hUKxb9++U6dOFRQUNGvWbMaMGV5eXkwFk52d/ezZM1tb26CgIKFQyFQYxsB4VkcgsQMA\nAGC9KVOmHD16lHx9586d/fv3nz17tnHjxqaPZMWKFRs2bCBHn3F3d1+5cmV4eLjpw6CdOaR0\nJNyKBQAAYLMzZ85QWR2puLh4zpw5po9k586dq1atosYUzMzMnDhx4vPnz00fCb3MJ6sjkNgB\nAACw240bNzQL79y5U15ebuJINm/erFZSUlISExNj4jDoZVZZHYFbsQAAAOymUCi0liuVShNH\nkp6erlmYlpZm4jDoYm4pHQktdgAAAGzWvn17zcLg4GAbGxsTR6J1VGcGu3EYwjyzOgKJHQAA\nmAmFQhEfH3/9+vXMzEymY2GVvn37RkREqJYIhcKVK1eaPpJJkyaplQiFwtGjR1d/DzKZ7Pbt\n28eOHXv69CmtodWM2WZ1BG7FAgCAOfjnn3+ioqKo/9affPLJTz/9xOfzmY3K9JRK5d69e3/4\n4YekpCRPT8/hw4dPmzbNwOPA4XC2b9++Y8eO06dP5+bmNm/e/PPPP/f396cr5uobN25cWlra\n1q1bZTIZQRCurq4///xz9TvnPn36dNKkSUlJSeTbLl26/PLLL05OTsYKVxtzTulIHNPfYmeT\ngoICuVzOdBTmyNbWVigUSiQS8uoFAwkEAh6PV1xczHQgLOHq6iqTySQSCdOBsIRYLJZIJIb8\nNykqKurSpcurV69UCydNmrRs2TKDo7Mwu3btUuuvOnTo0A0bNpim9uLiYltbW2PXkpmZ+eTJ\nE6FQ2KpVK63VkbO3OTk5hYaGOjg4kIUlJSVhYWEpKSmqa/bt21d33ws+n8/n84uKimiJvJpZ\nnbGTZi6XqyOdxa1YAABg2IkTJ9SyOoIgYmJiatuPmeLi4kWLFqkVHjhw4N69e0att6Ki4qef\nfmrcuLGfn1/jxo2jo6ON2mHW3d29Z8+eHTt21MzqysvLx4wZ07Vr1xkzZowcObJNmzbnzp0j\nF128eFEtqyMI4uTJkxkZGcYLVZX5t9WRkNgBAADDUlNTNQsrKipq28N2jx49Kikp0Sx/+PCh\nUetdvHjxjz/+mJeXRxBEXl7eypUr58+fb9Qaq/Ldd9+dOnWKepubmztlyhTy9KgqgTNBYpec\nnGwpWR2BxA4AABjn4eGhWcjj8dzc3EwfDCMyMzPHjh370UcfaV0qEolqtLeioqKYmJivv/56\n48aNWkcYUfX69ett27apFe7evTsxMbFGlRpOLpfv2bNHrbCwsPCPP/4gCMLHx0dzEw6Ho7Wc\nRhaU0pGQ2AEAAMP69u3r7u6uVjhkyBB7e3tG4jExuVw+bty4EydOaF0qEonCwsKqv7d///23\nXbt2X3755datW7/99tv27durtoFpXV9reXx8fPUrpUVhYWFpaalm+du3bwmC6N69e5MmTdQW\nDR06tE6dOkaKx7Ia6ihI7AAAgGFOTk7bt2/39fWlSvr06bN8+XIGQzKlS5cuxcXFaV3E5/N/\n+OEHrcO/aaVUKqdMmUJmQqSSkpKZM2fm5ORUtUlV2TPVa0E/r169mjFjRufOnSMiIlatWlVW\nVvbeTRwdHbX2CfDz8yMIgs/nx8TEhISEUOWRkZHR0dGGBKmDJaZ0JAx3AgAAzAsJCbl169bd\nu3ezs7MbN278wQcfMB2R6bx48UJr+bBhw6Kiomp0KJ4/f/7s2TO1QolEcunSpSFDhmjdpHXr\n1j4+PmqPOXp4eLRr16769WqG0aNHD6rvy927dy9fvnz06FEeT1fWYWVlNWPGjCVLlqgWenp6\nUpHXr1//5MmTL168ePPmTUBAQPXz3Zqy3KyOQGIHAABmgs/na50jgfWcnZ21ls+bN6+mszIU\nFhbWqJwgCD6fv3Xr1pEjR5KdJwiCEIvFW7ZsEQqFNapa1fz589V6NMfGxv7+++/vHYs4KipK\nKpVu2rSpoqKCIIhmzZqtXbtWtRmPw+EEBAQEBAToHZtuFp3SkZDYAQAAMKlnz56urq5qd0vD\nwsL0mGurQYMGfD6fzIpUBQYG6tgqJCQkNjb2jz/+SElJ8fX1jYyMrCrXrKbY2Fithe9N7Kys\nrBYuXDhz5szExEQXF5d69epZWZnumTEWZHWEBSV2CoXi0KFD+/fvr6ys3LRpk7e3t+Y6WVlZ\nhw8ffvDgQW5urlAobNiw4YABA4KDg6uzf0O2BQAA0Juzs/OWLVsmT56cm5tLlgQGBq5fv16P\nXTk6Os6ZM2fFihWqhX369HnvfVUnJ6cJEyboUaNWXC63moVa2dvbt27dmq5gqokdWR1hKYnd\n27dvV61apbuHzvPnzxctWlRcXOzo6NikSROJRHL//v379++PHTt24MCBuvdvyLYAAAAGCgsL\ni42NvXTpUm5ubrNmzTp06FBZWanfrmbNmmVra7tx48aMjAxHR8fhw4fPnTu3OhuWl5cLBAL9\nKlUTFham2RW3Rn17TYk1KR3JAqYUu3Xr1rp168rLy0eMGLFv3z6ZTKbZYldZWTljxoy0tLR+\n/fqNHz+e/Fnw6NGj77//Xi6Xr1q1qn79+lXt35BtMaVYVTClGL0wpRi9MKUYvQyfUgwoIpFI\nJBJJpVLN26k1Vf35wfbt27d69eqUlBRHR8fIyMj58+c7OjoaUnV6enr37t2pBkiCIHr37r1r\n1y4Oh2PIbvXw3inFjJHVYUqx97h8+bKtre2KFSsGDx5c1Tp37txJS0vz8vKaOHEi1djbokWL\ngQMHKhSKY8eO6di/IdsCAACYp2pmdTt37pw5c2ZycrJSqSwoKPjtt9/GjRunUCgMqdrLy+vW\nrVszZszo1KkTOdxJTEyM6bO692JZWx3JAm7Ffvjhh7NmzbKzs9OxDvmcZlhYmNp506VLlwMH\nDsTGxioUiqoewDRkWwAAAMtVUVGhNrwIQRDXrl07d+5c7969Ddmzs7PzN998Y8gejIqVKR3J\nAvKVXr166c7qiP8OAtSoUSO1ci8vL5FIVFZW9ubNG2NsCwAAYLnS09OlUqlmueZgeGzC4qyO\nsIjErjrIiaK1zitCFupIzgzZFgAAwGRiY2MXLlw4derUdevW0fKQaFXtJiyezI3dWR1hEbdi\n36uyspJ8yFTraIpkodbp5/TYtqSkJD8/n3prY2NT/f7btQp5X9vKygrHhxZWVlYcDgcHk0Y4\nnjQiDyY6T9CCfPJH65fnjz/+qDqD1pYtW86ePUtOt6U3d3f30NDQ27dvqxYKhcLevXuz4wJR\n/fJ8+fIl8d8jbFTGPnS6PwIbEjuq65C1tbXmUrKwvLyclm0vXLig+jjCnj17atW8NzXF4t98\njLCxsWE6BPbg8Xg6upVBTYnFYqZDYBXNhrS7d++qzYuanZ39+eefX7582cC69uzZ06VLF2pK\nMYFAsHHjRpYN4yoQCOLj40UikVFrKSzl7rri3r15fmsjf7fo7trChsSOGndH68gaZGFVY/PU\ndFsvL68ePXpQb21sbKpKGWs5Ho/H5XJlMpmBXauAxOVyORwOxtahi0AgUCgUGIuHLnw+XyaT\nocWOFlV9ef7555+aK1+9ejUrK8vAoUm8vLwePny4b9++Z8+eubu7Dxw4sFGjRqz512ZlZWVl\nZfXPP/8Yu6LHr+x3XPIqKLZ+nmHTJaRcZOSf4TpGHGRDYmdlZSUQCMrLy0tKSjSXkkN/VdXr\nu6bbtm7dWnU47IKCAh0T8NVm5Dh2JSUl+N9JC4xjRy+BQFBZWYmLly5isbiwsBCJHS3IcexK\nS0vVxrHT2sVBqVTm5ubScm9x6NCh1Gs2XRqpqalcLteoeWppBffoHZ/r//7/k/o5Uv76I2XT\n+lc5cp7huFyujsSOJZ0nyAn1srKy1MqVSmV2djZBEFqnIDN8WwAAABNo2bKlZqGPj4+rq6vp\ng7EUJugn8SzNcckfQVRWRxCEg1AWHGDo4NKGYEliFxAQQBBEQkKCWnlycnJZWZm9vX3dunWN\nsS0AAIAJ9O3bV3NKrujoaDMc9dccJCcnGzurK5Nxf7/ht/Fso4JiPlUY7J+3ePDTdk2Q2Bms\nffv2BEFcuXJFbXK98+fPEwTRoUMHHae+IdsCAACYgJWVVUxMzMyZM319fe3s7Nq0aXPo0KHw\n8HCm4zJHJmioi093XHI46Pq/dagHEByEsqnhSRO7vxAJGH4YmiWJXatWrQICAt6+fbtp0ybq\nAfMbN26cPn3a2tp60KBB1JqHDx/eunXr/fv39dgWAACAKXZ2dosWLbp7925ycvLJkye7dOnC\ndETmyNhZXYXc6uDteuvPNMr/34a6RZFPm9crMGrV1WTunScyMzN//PFH6i2ZeEVHR/P5/39A\nv/rqK3d3dw6HM2fOnAULFpw/fz42NtbHxycvLy8zM5PD4URFRbm7u1N7uH79enJyslgspvpy\nV39bAAAAME8maKhLzHDYddUvt+hdxwV7G9nwDq9a+efr2MrEzD2xKy8vf/78uVrh69evVVcg\nX3h5ea1du/bAgQN3795NTEy0tbUNDQ2NjIzUnCtMkyHbAgAAALOMndWVy6yO3fW5+o+baufv\nVv75w9un2AvNayAqDjqoG6KgoABDi2lFDncikUgw3AktMNwJvVxdXWUyGS0zMgFBEGKxWCKR\n4L8JLcjhTqRSqdpwJ6CDjqyOHBfQwOFOXmbZ7bzqnyV5NzadSFD5cUhqpw+yta7v7+9vSHXv\nxeVydYyvbu4tdgAAAABaGbuhTl5pdfye5/kn7krlu26UQT6SEZ1SxCIzzbyR2AEAAIDlMXZW\nl5xlu+ta/cyCdw11Qn7lwDZVNtSZCSR2AAAAYGGMmtVVKjhnHnqefOCh2lDX1FsyqlOK2NZM\nG+ooSOwAAADAYhi7oS49TxRz1T8tV0SV2FhXDmqb2rFxtkUMa4vEDgAAACyDsRvqLj51P37P\nS175LoNr4iUd2SnZ2c7cG+ooLBmgGAAAAEwjLi7u448/9vPzCwoK+uyzz8h51U3AqFldep7w\nx7+aHr3jTWV1fJ5iYJu06b0TLCirI9BiBwAAANV37969gQMHkgOIFBcX79mz5+7du+fPn7ex\nsXnvtnozakqnUHIuPFFvqGtQt2h0WLKbQ5nx6jUStNgBAABAdS1atEhtWLh///13+/btxqvR\nqFldRr7wxz+bqDbUWXMVA9ukfd4v3hKzOgItdgAAUMudOXPm+PHjeXl5gYGBkyZNcnNzYzoi\ns/bo0aNqFtLCeFkd2VB34p6XTKWhrr5b0eiw5LqOFpnSkZDYAQBA7fX1119v3bqVfH3hwoWY\nmJhTp05hPkkdhEKh5qwYQqGQ9oqM2lCXLRXsuub/PNOeKuFxFf1bv+nZLJPDsew5VHArFgAA\naqnY2FgqqyNJJJLZs2czFY9FiIiI0Czs06cPvbUYL6tTKonr/9ZZeiRINavzdyteOPBZePMM\nS8/qCLTYAQBArXX58mXNwri4OKlU6uDgYPp4GFFeXv748eP8/PymTZt6e3u/d/0lS5bcvXv3\n+fPnVMm4cePCw8PpiseoDXU5hYJd1/yTMt6ldFwrZUTLjD6t3rAgpSMhsQMAgFpKLpfXqJx9\nbt68OWPGjNTUVPLtmDFjoqOjeTxduYGTk9PVq1f37Nnz8OFDOzu7nj17du3ala54jNpQdyOh\nzpG/65XJ3t2r9HIu+TQs2dulxEiVMgKJHQAA1FIffvihZmFAQICzs3NNd5WcnLxp06bExEQ3\nN7fBgwf36tWLjgCNKyMjY9y4cXl5eVTJzp07XV1d582bp3tDPp8/btw42uMxXlaXWyTYddUv\nMeNdK6wVR9mjWWb/1uk8Lksa6ihI7AAAoJbq3bt3r169zp49q1q4cuXKmu4nLi6OGtqNIIhj\nx47Nnj174cKF9ERpNAcPHlTN6ki//PLLV199ZWVl0kfwjdpQd+WZ84GbHuUyLlXo6VQ6Juxl\nPVdWNdRRkNgBAEAtxeFwtm/fvnnz5uPHj+fm5gYGBs6ZM8fKymr58uVSqTQwMHDIkCECgUD3\nTpRK5fTp09WGdluzZs2AAQOaNWtmzPANlZGRoVlYWFgolUrFYrHJwjBeVpdXxN9zo3582rsn\n6ljcUEdBYgcAALUXn8+fNWvWrFmzyLdr1qxZtmwZtXT9+vUnT56sU6eOjj2kpaW9fPlSs/zq\n1atmnth5eHhoFjo4OJiy44jxsrr7yc57r/uWVLzLczycSseEJfu6FhupRjOB4U4AAAAIgiAe\nPHigmtURBJGcnPzll1/q3qqyslJruUKhoC0y4xg6dKjm04STJk0yzX3Y5ORkI2V10lLrzecb\n/nqxAZXVWXGIroFv53/8jPVZHYHEDgAAgHTq1CnNwrNnz2qOx6uqXr16Wpu+QkNDaYvMONzd\n3bdv3+7j40OVfPrpp3PmzDFB1UZtqPvucNDjV+9uJbs5VnzW998hoa+t2Xv7VRVuxQIAABAE\nQRQXa2nOkcvlZWVlfD6/qq2srKxWr149bNgw1cJRo0aFhITQHyLdOnTocPv27adPn+bl5TVt\n2tTLy8sElRopqysstd57w/fRKyeqhMMhOn2QM7xTJqEoNUaNWvn7+5usLq2Q2AEAABAEQQQF\nBWkW1qtX773PnHXv3v3s2bPr1q1LSEgghzsZMWKEcWKkn0AgaN26tWnqMmpD3b6bvkVl77Ia\nF/vy0Z2Tm/qUcrnc/+3ZYkSMZ3UEEjsAAADS4MGDd+zY8fDhQ9VCtafuqhIcHBwTE2OUsNjC\nWA11Zdb7bvo+SP6fhrqOjbMHtX1tY60wWZ5jDikdCc/YAQAAEARB8Pn8ffv2jRw50snJicfj\nBQUF7d69u3fv3kzHxQZGyuruJzt9/0eQalbnYlc+KyLhk44pNtam67xiPlkdQRAcpbJWPEto\nJAUFBbVn5pkasbW1FQqFEolEJpMxHQsbCAQCHo+n9QEg0IOrq6tMJpNIJEwHwhJisVgikbDs\nv4lMJrO2tjZ9vSKRSCQSSaVS3T02LIiRUrrict7+W753X7zr1cvhEB0bZw1qm6qa0vF4PC6X\nW260e7GMpHRcLtfJyamqpbgVCwAAoI6RrI59jJTVPU113Hvdr6DkXY8WR5FsRMeUZvUKjFGd\nVmbVSqcKiR0AAEDN3LlzJz4+3sXFpVOnTo6OjkyHY46MlNKVlHMPxvr+lGu3kAAAIABJREFU\nneSiWti+cc7gtq+FfO0DChqD2WZ1BBI7AACA6isqKhozZsy1a9fIt87Ozhs3buzRowezUZkb\nI2V1z1Id9/xvQ51YVDGiU0qQj+keqzDnlI6ExA4AAKC6FixYQGV1BEHk5eVNmTLl2rVrnp6e\nDEZlVoyR1ZXJuEf+9rmRUEf1Sc5g/7xPOr6yFZjoSXfzT+lISOwAAACqpays7PDhw2qFEonk\nzz//nDp1KiMhmRUjNdTFpzvsue6fV/Suoc5eKPukw6uWfvnGqE4rS8nqCCR2AAAA1ZSfn6+1\np39WVpbpgzE3xmmoszryt8+NBDfVhroPG+QNa4+GuiohsQMAANYqLy/Pysry8PDg8Wj4f+fq\n6mpnZ1dUVKRWXr9+fcN3bnpFRUWXL1/OyMho2LBh586duVyu3rsyRlaXmGG/65p/bqGAKrEX\nyoe1Twn2N1FDncWldCQkdgAAwEI5OTkLFy48duyYQqEQCoVTp0794osvDBzExNraetasWWpz\nUfj7+w8cONCwYBkQGxs7YcKEt2/fkm+DgoJ+//13Dw+Pmu5HM6VLTExMSUnhcrkBAQG+vr56\nxCartDpxz/PCEw+FSkNdkE/BiI4pYlsTjY1qoVkdgcQOAADYp7KycsKECTdv3iTflpaWrlq1\nSi6XL1q0yMA9z5w5s6SkZOPGjeQAwm3atFmzZo2dnZ2hEZuWRCKZOHEildURBPH06dOoqKgj\nR47UaD/JyclKpTI9PT0vL8/Z2dnT03Pnzp1Pnz6lVujQocOgQYNqtM8Xb+12XfXPktpQJSKB\nfFj71yENcmu0H71ZbkpHwswTBsHME1XBzBP0wswT9MLME/Qyw5knLl++PGTIELVCHo/3zz//\n6Biyv/pKS0tfvHjh4uKiRxOXbqaZeeLo0aOTJk3SLL937169evWquZPk5OT8/Pw9e/akpKSQ\nJU5OTvn56vdJR44c2apVq+rsUF5pdfye5/kn7kolhyoM9JGM7JQiFul5NGo084SlpHSYeQIA\nAGqX58+faxbK5fKUlBRaEjuhUBgUFGT4fpiSm6u99Ss7O7s6iR15+1WpVKpmdQRBaGZ1BEE8\nePCgOoldcpbtrmv1MwveNdQJ+ZUD26R2+iD7vdvSwlKyuvdCYgcAAGxTVfbm7Oystby20ZrE\ncLncqpKbsrKyxMREa2vrgICAtLQ0sjAtLU01q6tKaWmp7hUqFZwzDz1PPvBQbahr6i0Z2SnF\nydYUE+ayJqUjIbEDAAC26d69u6ura05Ojmphu3bt9HuWn33CwsJCQkLi4uJUCxs1ahQXF9er\nVy+1lffs2fPdd98VFBR06tRJLBZHRkY2bdqUIIhqPszg7u6uY2l6nijmqn9arogqsbGuHNQ2\ntWPjbA5Hx3b0YFlKR7JiOgAAAACaOTk5bdmyRbV9rmHDhps2bWIwJLPC4/G2b9/ep08f1cL4\n+PiRI0fOnDlTtfDixYufffYZmdURBFFQULBr166MjAyi6mZRVSKRqFu3bloXKZScc489ov9s\nqprVBbgXLhj4rNMHyOr0hxY7AABgobCwsNjY2HPnzmVkZAQEBPTq1cvAsU5Yxt3dfefOnZMn\nT1brCbtv377w8PB+/fqRb9esWUMQBJnVkWQy2dWrV4cNG+bp6dmwYcOkpCTVzcmp1d68ecPh\ncPh8vq+vb3FxsWYK+CZfuPNq/dc571I6Pk/RN/hNj2YZViZJ6UpKSn777beEhARnZ+f+/fsH\nBgYavVZTQWIHAADs5OTkNHToUKajMGuXL1/WLDx79iyV2NWpU0c1qyORfS84HM6IESP27duX\nkJBAljdq1Gj48OH37t178+aNUqksLy+Pj4+Pj48fM2ZM8+bNy8vLnz9/XlhU8qqs082XgbLK\ndxlc/bpFY8KS3RzKjPIh/5e/v396enq/fv2ohwXXr1//zTffTJ482QS1mwASOwAAgFqqrExL\nLkUVJicn29vbFxQUqK3g4OBAvrC3t580aVJOTk5OTo6Li0udOnXy8/PPnDmjtv6hQ4f4fP6B\nAwcKyp0rPBcobD6gFllzFf1am66hjnwxe/ZsKqsjCKKiouL777/v1KkT+eygpUNiBwAAUEu1\nbNny9u3baoXk6CTkmCahoaGpqalqK7Rr1071raurq6urK/n6xYsXmsO7lpSU7N6zt9Cmj9x/\nqpLz7oa4v1vRmLDkuo5Gb6hTfZyusLDw6tWraiuUl5efOXOGHYkdOk8AAADUUsuWLRMIBKol\nTZo06dGjBzVRWNu2bbt06UIttba2/vjjjxs2bFijWpR8L0ndH2XuM99ldcoKfvbWqO73TZDV\nNWrUSPVtSUmJ1sG0NacAtlBosQMAAKilmjVrduLEiRUrVty/f9/e3r5Hjx6jR49W62XSv3//\n9u3bv3792srKyt/fn7oPq5VGV1OO3Km/rO50JefdyMNWpfH8N8utKl6VlMyztRXS+Xk0guHz\n+WqFderUcXNzy8rKUitv1qyZ8SIxJSR2AAAAtVfLli0PHDhAvqYa6tS4uLi4uLhUZ28uLi69\nevU6e/YsQRBKa49yj3kKW5VpJ5RyXu4Bfs5vhFLO4/HEYrGh0VdBx1AmVlZWS5cuVZtRrV27\ndgMGDDBSMCaGxA4AAIBO8fHxT548cXJyatOmjaOjI9PhVEtVKZ0ewsPD3d09Tt7hpykHK1Qb\n6spf8N8styr7/+FRwsLCjDQAzXsHqBs4cCCXy/3555+TkpIcHBwGDhw4d+5cLpdrjGBMD4kd\nAAAAPSoqKqKioo4dO0a+dXZ2Xrt2be/evZmN6r1ozOoIgsgtElxKG/yacCD+29HViqNs3+Bl\n/rMVyWVJBEFwudyOHTtqTnFhuOqPOTxgwIABAwbI5XIej22JENs+DwAAAFNWrFhBZXUEQeTl\n5U2ZMuXq1atmO5UZvSmdUkncSKjzx98+5bJ3rV+eTqVjwpLruRYTXSYXFBQUFhbWqVPHxsZG\nx370oN80EuzL6gj0igUAAKCFUqncuXOnWmFxcfHBgwcZiee96M3qJCXWm883/P2GH5XVWXGU\n4c0z5n38rJ5rMVkiFot9fHzMJKtjKxbmqgAAAKZXUlJSWFioWZ6ZmWn6YN6L3qzufrLz3uu+\nJRXvkgoPcemYsGTfOsU01qIJKZ0mJHYAACykUCj2799/6tSp/Pz85s2bT58+3cvLy9iVlpaW\nxsfHl5WVBQYGWkqnARrZ2tq6urrm5OSolfv5+TERTpXoTemkpda/3/B79Opd/1YrDhHW9O3A\nNqnWXC3DxdEFKV1VkNgBALDQtGnT/vjjD/L1nTt39u3bd/bs2caNGxuvxhMnTsydO5ccHkwk\nEs2dO3fatGnGq848zZo1a9GiRaolbm5uw4cPZyoeTbQ31P1+w7e4/F0u4WpfPjosuaG7lpZL\nGiGr0wGJHQAA25w7d47K6kjFxcWff/75yZMnjVTjs2fPpk6dSs0xWlJSsnjxYi8vr48++shI\nNZqnyZMn5+fnb9iwoaKigiCIJk2arF27lppui3E0ZnWFZda/3/B9mOJElXA4RMfG2ZFtXwus\nFXTVogkp3XshsQMAYJvr169rFsbFxZWVldH+3Dpp27ZtmtPJb9iwobYldhwOZ/78+VFRUQkJ\nCc7Ozn5+fsYbHa2oqGjHjh1PnjxxcHCIiIjo3r27jpVpb6jbd9O3qOxdCuFiXz66c3IjDzTU\nMQ+JHQAA2ygUWppMlEql1ikyaZGWlqZZqDl5fC3h4OAQEhJi1Crevn3bq1ev9PR08u3OnTvH\njx8fHR2tdWU6G+pKeftv+d1PVm+oG9T2tQ0a6swDhjsBAGCb0NBQzcLg4GCh0Fjzcnp4eGgW\nenp6Gqk6mDt3LpXVkX777bdLly6prZacnExjVvc0VbzsaJBqVudiXzEzIuGTjinGy+r8/f2R\n1dUIEjsAALbp27dvRESEaomNjc3KlSuNV+Onn34qEAjUCidOnGi8GmszhUJx/vx5zfJz586p\nvqUxpSsp5/5+w2/j2YaSkneTgLVtmLto0NMPPKV01aIJKZ0ecCsWAIBVXr16tXz58qdPnzo7\nO/P5fAcHh+Dg4NmzZzdo0MB4lQYHB//8888LFy6USqUEQfD5/KioKLPqDcomCoVCLpdrlqs+\n5khjVvf4tfj3G36qKZ2TbcWozilNvCR0VaEJKZ3ekNgBALBHenp6jx49CgoKqBI+n79s2TIH\nBwdjVz1s2LDevXs/ePCgtLS0VatWWm/OAi14PF5QUNDjx4/VyoODg4kqUjqFQiGVSu3t7WvU\nmaOknHsotl5s0v/06m3fKGdwu9dCfmXNA68WWlK6EydOxMTEpKen+/n5RUVFdezY0fB9WgqO\n8Z6lrQ0KCgq0/mwCW1tboVAokUhkMhnTsbCBQCDg8XjFxcYdw732cHV1lclkEokR2xuYMnny\n5CNHjqgVzpw5U21wNXqJxWKJRIL/JrQQiUQikUgqlZIDplQlLi6uT58+qiXBwcEnTpzQ7MUi\nl8vPnTt37do1mUzG5XI//PDDfv36iUSi90byT5rjnut++cV8qsRBKPukY0oL3wIdWxmIlqxu\n7dq1S5cuVS354Ycfxo0bZ/iezQSXy3VycqpqKZ6xAwBgj/v372sW3r171/SRgFGFhIScPn26\na9eu5KAqU6dOPXjwoNa+ySdPnrx48SL5G7uysvLvv//+/fffdWfhZTLunut+G842Us3q2gbk\nLv7PU+NldXR1knjz5s0PP/ygVvjNN9/k5eUZvnOLgFuxAADswefzNQs1uzUAC3z44YcHDx4k\nXycnJ2tNXAoLCzUHNYyPj09OTq5fv77W3T7PtNt9vX6W5N05Y28jG97xVSu/fJoCJwiCkMvl\nhYWFjo6OVlZW9D5Od+/ePc07ReXl5Y8ePeratSuNFZktJHYAAOzRo0ePxMREzUJGggHT0NFP\nIjs7W2vjXFZWlmZiJ6u0OnHP88ITD4XKFsH+ecM7vLKzoe2ho5KSkr/++uvevXsKhYJ8WHDu\n3Lk0/vawstJ+K7KqcvZBYgcAwB5z5869fPlyfHw8VRIWFjZ+/HgGQwI9HD9+fN26dS9fvvT0\n9Pzkk08+/fRTrZ0e3tv1tapn6TTLkzLtd131zyl8l2DZ2ciHtX/Vuj6ddzCVSuXvv/9Onp9k\nU+Lly5dLS0tXrFhBVxVt27YVCoWlpaWqhQ4ODq1bt6arCjOHxA4AgD1EItGFCxd27twZGxtr\nbW3drFmzbt26VVZWGm9iK6Dd1q1bp0yZQr7Oycl5/PhxUlKS5qwS1RnQpG7dut7e3mrP3jk4\nODRq1Ih6WyG3+vOu95VndVUb6lr65X/S4ZW9kObeb69evYqPj1e7O/zbb7/NmjXL3d2dlipc\nXV2XL1/+2WefqRauXLnSzs6Olv2bP/SKNQh6xVYFvWLphV6x9GJxr1jKgwcPPvvss2fPnhEE\nYW9vP3/+fOMNF4xesTRSKpX+/v6aF/uVK1cCAwOpt9Ufpi4rK+vXX3+lnsCztbUdM2YMNahh\ncpbdzqv+byXvZhAWCSo/Dknt9EG2/p+hanfu3Jk+fbpm+dGjR+kdkSQuLm7nzp2vXr0KCAiI\niooKCAigceeM090rFi12AABs83/s3WdAU2fbB/CTHRKQDTLCENmgOHAB4sAFjgoqblEc1bqt\nq2rdraOt1r2qIO6BA7VuREXFiSKIAoYNAgJhJ4Hk/ZDnTdIsssi8fp/IzTknlwjJP/e5R1lZ\n2cSJEysqKjgPa2trf/nlF2Nj43Hjxqm3MNCqjIwMkR/h3rx5wwl2sq48bGVltXLlyrS0tPLy\nchMTEx8fH8592OYWdMIb23tp7dlsFPdgb3va5KBcE7KklVbk5uzsnJmZKfJbZmZmyn0uf39/\nzna9eDwej8fX1dUp9/qaDIIdAADomtjYWG6q49q5cycEO80ncl4zt12+/SSwWGyXLl34W3LL\nybFJzqXVvL2DibiW8J5t1VGH/P8CdUFBQba2tsXFxfzf6tSpk6enZxs9rx6CYAcAALpG5Nt/\nXl4ei8XSn7mBWsrb25tCoRQUFPA3EonEoKAgpewSxmxB/fvO7s779iy+jjove9rkoFxTKTrq\n6urqCgsLUSiUvb09mUyW5hn5VzMxNDQ8fPjw9OnTuR88nJycDh8+jEKhxJwNZAbBDgAAdI2F\nhYVwo7m5OaQ6zYfFYk+ePBkaGso/r3PHjh2SN6KQUlElKTbJueA7b0osHssa1b2wv/c3aZLV\no0ePbt++zRk5TSAQhg8f3qdPHwnHi1ygrlevXikpKbdv3y4sLOzYsePQoUPFdVIC+UCwAwAA\nXRMZGXn8+HE6nc7fOHnyZHXVA2TSr1+/ly9fHj58OCsry97ePjQ0lEKhKHjNFhbqdqrtv6k2\nLSxegnO3rZnSN9fckC7hRK709PSEhATuQzqdfvnyZQsLC/4JtvwkLDvcrl07GBXQdiDYAQCA\nrvH29t65c+eqVasaGho4LSNGjFixYoV6qwLSc3BwWL9+vVLuvSIIUlRpEJvUgb+jjoBj/eBf\nEOxZJv0tUOEdLBAEefr0qXCwU+5OEkBWEOwAAEAHTZgwYcCAAcnJyTQarUuXLn5+fuquCMhG\nZKpjs9ktLS1YrLTv3Sw26n5a+xtv7JgtvATXwbpuWl+qlXGTTPWIXB6ouvo/W8dCpNMEEOwA\nAEA3WVtbh4eHq7sKII+cnByBlpqamuvXr2dkZDAYjPbt2w8dOtTHx0fyRUqqDWKTnPPKeVMc\nsBjWiG7Fg3xLUSiZFx00NTUtKysTaORfpgRSnYaAYAcAAABoiqysLOHJBEwm88iRIyUlJZyH\nJSUlJ06cmDlzprhVQths1L0064Q3ds0tvOkyHazqpgZTrWXsqOPq27fv58+fhRsRiHQaBmZI\nAQAAABpB3KC6ly9fclMd17Vr10QeXEYj/nHD48pLCjfVYTGs8B6FP4/IlDvVIQji4eERHh5O\nIPxvM1kSiTR+/PgOHTpAqtM00GMHAAAAqAedTn/27FlJSUmHDh2srKzELecmsKIvR3l5OZPJ\nxOFw3BY2G3n62fJyigOdyeu1sTdrmBZMtTdvULzagICAbt26FRUVoVAoOzs7Dw8Pxa8JlA6C\nHQAAAKAG79+/j46OzsvLCwoKQhDE0dExKipK5BqERCJRuBGLxfLPoqioJZxMcs4qNeIdgGGH\ndike0rkELfuIOnGIRKKLi4vae+kaGhpqa2utra3VW4ZmgluxAAAAgKo1NDTwpzoEQfLy8s6e\nPSvyYF9fX+HGTp06cXr42GzkSabl1ngf/lRnZ9a4fETGML9iJaY6DvWmuuzs7DFjxjg5Ofn4\n+Pj4+Ij7iekz6LEDAAAAVC0xMdHBwcHBwYG/8cuXLxUVFba2tgIHOzk5hYaG3rp1i9tiY2Mz\nevRoBEG+1+JPPXHOLG7H/RYaxQ7xLR3RrQiL0alIhyBITU3NuHHjuPutffv2beHChSQSadSo\nUeotTKNAsAMAAABUTWAFOC4ajSYc7BAEGThwoLu7e0ZGRkNDg729fZcuXTAYzPMvZueeOTKa\neW/lNqaN04Kpjhb1yq1W7ZGO4+TJkwK76CIIsnnzZgh2/CDYAQAAAP+RlZW1b9++rKwsKyur\n8PDwkSNHKvf6VCrV3NxcuB2FQokcY8dhb29vb2/P+bqmEbfvunFBLS9vcTrqhncrwulcRx1X\nVlaWcGNeXh6DwYANZ7kg2AEAAAA8L168iIiIYDAYnIc3b96cO3fupk2blHJx7oImrq6ujo6O\neXl5/N/t3r27sbFxqxd5SzU7mWRPbyZwW1CMonZVu/tHDMZhTJRSJ4fmRDoOU1NT4UZDQ0P+\nqcEAxWYrOdrrFSaTiUbDBBQR0Gg0CoVisVjwC6YUKBSK8/NUdyE6AoPBsNls+HkqCxqN1pkf\nJpvN9vDwEN744cWLF927d1fw4pmZmfwPq6qq4uLiPn36hCAICoXq3bv3uHHjiEQiCoVis9ki\nXzxrGrAxibZvcoz42tjYqgR82T6E1TR48GDOwDuRmExmeXk5mUyWJjtq5lIm79698/f3F2ic\nO3fu3r17xZ2iky+ebDZbwrZy0GOnkPr6+ubmZnVXoYnIZLKBgUFtbS2TyVR3LbqAQCBgsdj6\neiWPm9FbFhYWzc3NIve+BHIwMTGh0Wi68SmuoKBAONUhCHLz5k0XFxe5Lyty5WECgTBz5szq\n6urq6mpLS0symdzS0sJkMvF4PJ1OF35zeUs1O/PUsZ7Oe+NGMYoJJdvQDamch8XFxQ0NItar\nY7PZd+7cSUxM5FzT2dl53LhxVlZW4qp1dnauqqqS45/Z1pycnLZt2/brr79y+1P79OmzatUq\nCdXi8Xg8Hl9XV6eqGlUBg8GI7LzkgGAHAAAA/I+4eKpIbBW3nwSHiYmJiUkr909rm3Bnnzq+\ny+V/L2djqxJwZftRrEZuk6GhocjTHz58eO/ePf56/vnnn6VLl3K3keBS5b3Xe/fuHTp0iEql\n2tnZTZkyZezYseLWZ+YXHR09cODAhw8f0mi0zp079+/fX5qz9AoEOwAAAOB/7O3tKRSK8NTL\nPn36yHdByalOGm+pZueeOdY28t6vzQ3p3oaXX386JHCk8G1KBEFYLNbDhw8FGisqKt69e9er\nVy/+RlWmupMnTy5btozzdUFBwYsXL7KystasWSPNuU5OTjNmzGjL6rQbjA8DAAAA/geNRu/a\ntUugcfr06SIzk2RUKlXBVNdAx5x56nT0gQs31aFQSJBH+bqI9MhQly5dunCPxOFwo0ePdnJy\nEr5IXV1dU5OILWLLy8u5Xzs7O6sy1dXW1q5du1agcffu3SJvggNZQY8dAAAAwBMcHJyYmLhn\nz57MzExra+uIiIjIyEhZL6J4R93HAuPTT52r63nzPc2NGJMDqR52NQiCIAh68uTJwcHB+fn5\neDy+Y8eO4gZdGRgYYDCYlpYWgXYjIyNETfNe09PTGxsbhdtfv36tyEBGwAHBDgAAgDJ9+PDh\n8uXLpaWlrq6u4jY/1XA+Pj5HjhyR+3SFO+rQp5Mojz/95+fW1blyUlAeCf+fGRUUCoVCoUi+\nGg6H69q166tXr/gbiUSin5+fulYzwWAwItslzPQE0oMfIgAAAKU5ceLEihUruA8PHTp05coV\nkVud6iTFO+rS8o1iH1Gq6ngdde0MmJMCczs5it6pQhqjR4+urq7mru5LJpMnT57MfydXxTp1\n6mRubv79+3f+RiKRGBAQoK6SdAmsY6eQ6upqWO5EJM5yJzQaDZY7UQpY7kS5LCwsmEwmLHei\nLNzlTvLy8gIDAwVGdLm7uz958kQfpi4qmOqamJj4FMrTz5b8b8tdnSsnBeaRCEp4o6FSqcXF\nxUZGRsHBwa3Ow21rd+/enT59OnfVEgRBdu7cGRUVpfQnguVOAAAAADklJiYKj9P//PkzlUrt\n0KGDWkpSDcU76j4VtYt77FxVz9sXy8iAOSkwr7Oj0taTc3Z2HjBggLKupqDBgwc/fPjwn3/+\n+fr1q729/aRJk+SYngJEgmAHAABAOUTOvpTQrhsUTHWMZvTVV/aPMqz5O+q6u1RH9qYaEpV2\nR0jTNgdDEMTd3X3Hjh3qrkIHyRnsWCwWjUbjrHBNIpGMjY1hZy0AANBzfn5+wo1GRkY6PNVR\nwVSXXWoY96RDGY23UHA7g+aoAaW+lHIljvPRwFQH2o4Mwe79+/c3b95MSUn5+PFjQUEB/9gp\nHA5HoVB8fHx69uwZFhbWuXPnNigVAACAijQ1NaWlpdFoNC8vL1tbWynP6tWrV3h4eHx8PH/j\nli1bhHc40AEKRjpmC/rGG9v7aTas/4yoq5rar9jcGK2sLk6IdHqo9ckT9fX1J06c2Lt375cv\nX6S8qJub24IFC2bMmEEikRSuUKPB5AlxYPKEcsHkCeWCyROSPXnyZOHChYWFhZyH0dHRW7du\nFbdEBfLfvWLpdPqBAwfOnz9fUlLi7u6+cOHC4cOHq6huFVK4o87o5GPn8hpe3iUTmsf3yevu\nUskZ7N/U1KTgmwtEOg49nDzRSrCLjY1dvXp1SUkJt4VEInl7ezs7O3N2LGaz2Q0NDWVlZVQq\nNSMjg3/7YVtb223btk2ZMkUp/wzNBMFOHAh2yqXtwa6pqYlAIGjOvEgIdhIUFxcHBwdXV/9n\ncY1Vq1ZxN4ASxh/sNFNzc/Pt27fT09PNzc0HDx7s4OAg96UUjHTNLeiEN7b30tqz2bw/Bx8K\nbVJQrgmJgfx/EFEw2HFSHZ1Or6urMzc3V6RgbQfBjufbt2/Tp0//999/OQ/9/PzGjBkTGhra\nqVMncZ/bWlpaPnz4cOvWrUuXLqWmpnIaw8LCjh8/bmVlpdi/QkNBsBMHgp1yaW+wi4+P37Fj\nx9evX8lk8vDhw3/99VdLS0t1FwXBTpK//vrr999/F2g0NTX9/PmzuGiu4cGusrIyPDw8PT2d\n85BIJO7cuXP8+PFyXEpkqistLX3+/HllZaWpqWnv3r1tbGzEnl5mGJvk/I1G5LaQ8M3jeuf3\ndOWt6KZgsONEuq9fv65aterx48ctLS329vZr166NiIiQ42o6AILd/7x7927EiBFFRUUIgoSF\nha1evVrWZQOTk5O3bdt248YNBEHs7e0TEhJEDqrVdhDsxIFgp1xaGuyuXLkye/Zs/hY/P7+b\nN2/i8Xhxp6gGBDsJfv7559jYWOH23NxcMpks8hQND3YzZsxISEjgbyESiYmJiR07dpTpOiJT\n3YcPH06fPs19I8BisRMmTBB+v2O2oG68sZPQUcelSLDjpLqampr+/fvn5+fzfys2NjY0NFTW\nC+oAPQx2oqeyBgUFFRUVdezY8f79+zdu3JBjMeiAgICEhIT79++7uLgUFhYGBQXJegUAgFZj\ns9nr168XaExNTRUYWQ80jcipEqamplo6ZrqxsZF764mrqalJIOpJRqVSRaY6Op1+8eJF/gTW\n3Nx88eJF/lFJCIIUVZJ2XPe6+8GGm+qIuJaJgbnzBn8RSHVyc3bJVsdoAAAgAElEQVR25g6q\ni42NFUh1CIJs3rxZKU8ENJ/oYFdfXz9z5szU1NSBAwcqcvWBAwe+f/8+Ojpax8IyAKBVVVVV\n/MNzubh3xIBmGj9+vPC2BHPmzNGcIZIyqaurE9n1JTCIUAIJg+ry8vIEMhyCIE1NTbm5uZyv\nW1ioux9stl3zKvzOi8WedjXrIj4GeZQr5SfKH+k4RM50zMnJgftLekL0cif79u376aeflPIE\nZDL52LFjOnkfFgAgAYlEwmAwLS0tAu1GRkZqqQdIydbW9p9//lm0aBF3VuyMGTMWL16s3qrk\nZm5uLrwtKYIgHh4erZ7b6jwJ4V9vDk6EKvxOik1yLqzkRToijhXesyDQvUxZIVnk1FdjY2Ph\nRiMjIywWtiTQC6L/m5WV6rjmz5+v3AsCADQckUgcMmTIrVu3+BsJBIJOLn6hY/r27fvixYsP\nHz5UV1d7e3tLv46dBkKj0WvWrFm6dCl/o7e3d3h4uOQTpZn9am9vL/zpBY1G29k73nxr+2+q\nbQuLl+DcbGqn9qWaG9FlKV8sCauZjB49+vDhwwKNY8aMUcrzAs2H2bBhgxynsVislpYWlnh6\nshFFU1MTi8VSdxWaCI/H43A4Op0OPx+lwGKxaDRa62aiBAYG3r59u6rqf5td4vH4DRs2DB06\nVL1VIQhCIpFYLBadrpy3WJ2ExWLt7OxcXFyk6WElEoma/MPs3LmzpaVlampqQ0MDDocLDQ09\ncOCAhLHniNRrmhAIBDQanZWVxd/YZ8Dke19DX+WYc0fU4TCsUf5FEwNzyQTRPXz8MBgMBoNp\nbm4W9+Lp7OwsuXhbW1sjI6Pk5GRu4uzZs+f+/ftxOJw0/ygdw/l5MhjKGcuoIdBotIGBgbjv\ntr5AMVdRUdHOnTvv3btHpVIbGxslH6yx06OUC2bFigOzYpVLS2fFIgjCYDDi4+PT0tIsLS2H\nDh0qzf0vFYBZscql4bNiucrLy42NjSVPypZ1mTo2m52amvr06dPv37+bm1uSXeamfuvBbOF1\n1LlY103t+9XKWNrgK3lWrPTLDmdnZz948KCmpsbPzy8kJERLh0gqTg9nxUob7LKysnr37i08\nTEEczf8LVwoIduJAsFMu7Q12mgmCnXJpS7BrlSKLD5fXEE4+ds4u5XVwYjGsEd2KB/mWolAy\n/GTEBTvYSUI+ehjspB1K+euvv3JSnYWFRa9evaysrPSzUxcAAIDuUSTSsdnI08+Wl1Mc6Eze\nGCRnq/qpfb+2N1HOnq+Q6oD0pA12iYmJCIJMmTLl2LFjal9cFAAAAEdVVdWbN29qa2s7derk\n4uKi7nK0kiKprqKWcPKxc1YJr6MOg2YP8ysJ7VIsU0edOBDptE5NTQ0ejycSia0f2jakDXaV\nlZUIgmzatAlSHQAAaIirV68uX76cuyTb1KlTd+7cqSdz15RF7lTH6aiLT3Fo4uuoszNriAqm\n2psLLm4nB4h0WicxMfHXX3/NzMxEo9H+/v6///67r6+v6suQNthZW1sXFhZaW1u3aTUAAACk\nlJmZuWDBgqYm3s2+kydPOjg4LFq0SI1VaRFFOuq+1xFOJjl9KWnHbUGj2CG+pSO6FWExSuio\nc3Fx0bGJnDrv7du3U6ZM4UwPZ7FYKSkpY8aMSUxMVP1qQdJ+sOvZsyeCIDk5OW1ZDAAAAGmd\nOXOGP9VxHD9+XC3FaB1FOuqeZFpuvuzNn+psTRtXjsoY3aNQ8VTn6urq6emp4EWA6v3+++8C\ni/5UVlbu2bNH9ZVIG+xWrlyJw+G2bNmiA/OeAABAB3z79k1kI7xKSyZu41dpVNbh99x2P/PU\nic7EcFrQKPbgTiWrfkh3sNDo26+1tbXi9skASvH582fhxszMTNVXIm2w8/f3j4uLu3HjxqhR\no16+fAmrzgIAgHo5ODgIN1IoFLWsWPb48eM//vhj9+7dr169Uv2zS0+R269vqWZb470zi3gd\ndTamjStGfRrdoxCncEed8JavynL27NkuXbp06NDB0dHxxx9/FPl5AChO5E5ukpeSbiMy7Bw3\natSojIyMTZs2JSQkGBgYWFpaSljxJDs7WxnlAQAAEG3q1KknTpwQWI1v4cKFKi6DxWKNHz/+\n8uXL3JaoqKidO3equAxpyJ3qahpxp586fcgz4bagUUiw17fRPQqUEukUvIIE586d4/5K0On0\ny5cvZ2Vl/fvvvzAPUukiIiK2bt0q3Kj6SqQNduXl5SEhIR8+fOA8bGxszM/Pb7OqAAAAtIJC\nocTExCxZsiQ3NxdBECKRuGTJkilTpqi4jMOHD/OnOgRBYmJievToMXbsWBVXIoGCHXWnnzo2\n0Hlvl5bt6FP7Uju2r1W8sDZNdSwWa9OmTQKNHz58iI+PHz9+fNs9r3bJyMh48OBBQ0ODn5/f\n4MGD5e7wnj9//ps3b27fvs1t+fHHH9WyNba0wW7r1q2cVIdCoVxcXGCBYgD0WVVV1eXLl/Py\n8hwcHMLDw83NzdVdkZ4KDAx8/vx5VlZWXV2du7t7u3btWj9H2eLj44UbL1++rDnBTu5UV9uI\nO5PsmJrLu5uGQiGB7uURPfMJOEXHI6lgNZPKysry8nLh9oyMjLZ+am3x559/btu2jfuwd+/e\nFy5ckG8JOiwWGxcXl5SU9OrVKxwOFxwc7Ofnp7xKZalEyuMSEhIQBOnfv39cXJydnV1blgQA\n0GivXr2aPHkyZ21LBEF27NgRGxvbp08f9Valt7BYrHonUYrcma2mpkb1lQhTsKPubLJjXRPv\nXdLciD61L9XNRtM76rjIZDIGgxGeM2FiYiLyeH2TnJzMn+oQBHn+/PnmzZuF76hKLzg4ODg4\nWOHSFCLt5Ini4mIEQfbu3QupDgB9xmAw5syZw011CIJUV1fPmTOnoUEJUwKBNnJ3d5eyUcUU\n6KjDHnnQ8egDF26qQ6GQII/yteEfFU91zs7OWCx2yZIlAwcODA8PP3jwYNttqG1gYDBs2DCB\nRgKBEBYW1kbPqF2uXr0q3CgwrkAbSdtjZ2xs3NTUBPvVAKDn3r59W1BQINBYWlr64sWLAQMG\nqKUkoF6rV69OSkpqbGzkthgbGy9dulSNJSEKpLq0fJPTT51oDbyxRuaG9Cl9c91tFe2D5PTS\n5eTkhISEcPekf/LkSWJi4rlz59pov5CdO3dmZWVxV+LA4/G//fabJsRuTaDJnc2KkDbYde3a\n9d9//y0qKoJsB4A+q60V3WMhrh3oPC8vr4SEhCVLlnz8+BGFQnXr1u23336jUCjqqkfuSNdA\nx1x9RXmSaclt+f8RdQUEnKIrwHHvva5cuZKb6jgSExMvXrwYGRmp4FOIZGFhkZiYmJCQkJ6e\nbmZmFhoaCjuVcYkMuB4eHqqvRLlQUi5lmZSUNGDAgHnz5u3du7eta9Ii1dXVzc3N6q5CE5HJ\nZAMDAxqN1nZ3GfQKgUDAYrH19fXqLgQpKCjo2rWrcHtycrKbm5vq65GPhYUFk8kU+XkdyMHE\nxIRGo9XW1mIwGAMDAzVWIneq+1hgfPqJU3UDbxEQYxJzUmCur0O1giXxByk2m21vby+8V9iE\nCRO4WxSQSCQSiVRTUwNbiikFHo/H4/ECYZqjurq6f//+hYWF/I0XLlzo37+/qqqTEwaDkbBC\nnrR9v8HBwXFxcSdOnFi4cGFZWZmSagMAaBkKhTJr1iyBxsmTJ2tRqgNtxNDQUI2pTu79JBoZ\nmDNPnfbfceNPdV2dK38d81G5qU6CNroPCyQzMTG5dOnSgAEDsFgsgiAuLi4xMTGan+paJe2t\n2HXr1jU0NPTv33/v3r0HDhzw8vKysbGRsOLJjRs3lFQhAECzbNiwwdzc/OjRo9+/fzczM4uK\nilL7gCqg5+TuqMsoNI574lRdz4t07QyYEwNzOzu2SaRDoVABAQGJiYkC7UFBQQo+HZCPi4vL\n+fPnGQxGQ0ODzkwWlvZWrKxL9unJZoVwK1YcuBWrXJpzK5ZfXV2doaGhuquQB9yKVS7OrVh1\nvezLl+qamJj4FMrTz5b8VXd1rpwYmEcmKPSqLrmXLjs7e9CgQfx3BgcPHnzq1CkUCvXt27fz\n588XFRW5urr+8MMPFhYWipQBOCTcitVekm/FSttjh8ViiUQiFovFYDBKKgwAoN3Epbri4uLd\nu3enpqYaGRmFhIRER0fD/kWgLcjdUfepqN2pJ86VdbxfSyMD5sSAPD+nKgVLkpzq3r9/P3fu\nXG7IsLKyWrhwYXR0NAqFSk5OnjJlCncS0pYtW2JiYvr166dgPUAPSRvsoN8FACCNvLy8AQMG\ncJcMePz48YMHDy5cuACjiIByyZfqGM3om29t76fZsP7bUTchIM+Q2IYddQiC1NTUREVF8Q/V\nLysr+/z5MxaLpdPpc+fO5Z9aXl9fP2/evFevXpHJZEWqAnoIXmoBAMq0atUqgYWgkpKSzp07\np656gO6Re55EzjfDrfHedz/wUp2RQfOsgdmzBua0dapDEOTWrVsCEzARBDl79mxNTc3r169L\nSkoEvlVeXv7ixQtFqgL6SZ5gR6fThRtLS0sVLgYAoPWSk5OlbARADvJFOmYL+spL+79ueJbV\n8LYBdbEoWTbsTVdnhW6/Ojs7Szn1taioSLixubn527dv4obPatqwWqAVZAt2Dx486NOnz5Qp\nU4S/RaFQevTo8eDBAyUVBgAAAPDI3VH3tUywow7NrseX/lHyJPLvP9Y+ffpUvnqkj3QcIjfk\nxGKx7du39/LyEnmKj4+PfLUBfSZDsDt8+PCgQYOeP39eUVEh/F02m/3q1atBgwb9888/yisP\nAKBlAgMDhRthNQegILk76i6nUP5M8PxG43XU4eqfE7InYauuIwhCp9OvXLmSlpYm65Xl2L8h\nLCxMeEOOyZMnGxkZ2dvbz58/X+BbM2fO7NChg6zPAoC0wS49PX3BggVsNptAIIjccCM6OtrM\nzIzNZs+bN4+7LR0AQN9s27ZNYDmo/v37jxs3Tl31AB0gX6qjlpF/u+J9P609t6OORGjxIJ7D\n5a9ENVfyH/no0SPpLytrRx2XkZFRbGws/xtoRETEpk2bOF+vWbNm48aNnOTn4OCwcePGjRs3\nyvEsAEi7jt3MmTP/+ecfJyenO3fuiFtivqCgoH///jk5OXPnzj1w4IBS69RQsI6dOLCOnXJp\n5jp24pSWlu7Zs+fdu3eGhoaDBw+OioqSsJi5WsA6dsrVduvYyRfpWlio26m2N9/ZsNm8FVi9\n7GmTg3LPx+3JysoSOL5du3br16+X5sqKb7Ta3Nycnp7+7ds3Dw8PBwcH4QPweHy7du1gSzFl\ngXXsxOKslL1t2zYJGwdRKJRNmzZNmjTp3r17slYJANAZ7du3/+2339RdBdB68qW6/ApybJJz\ncRVvczMirmVMr4I+buUoFNKuXTvhU4yNjVu9rOKRjgOLxXbu3FnyAUp5IqC3pP0F4kzn6dOn\nj+TDOAcIz+gGAAC91dzcDO/WMpEv0rHYqPtp7RPe2DW38DrqOravndqXatnuf4s59OnT582b\nNwInBgQESL6yslIdACog7Rg7zp0UAoEg+TDOzmOwyjwAKsNmsy9evDh27NjAwMDp06cLv2kB\nNUpOTh46dKijo2OHDh1mzpxZUFCg7oq0gHyprrjKYPs1rysv7bmpDo9lje5RuCQsk5vqEARx\ncnIaO3Ys970Mi8WGhIT4+/uLu6zcI+oAUBdpP0RSKJRPnz69efNm2LBhEg7jDEEVOakbANAW\n1q9ff/DgQc7Xnz9/vnHjRlxc3NChQ9VbFUAQ5PXr15GRkZyFPxkMxrVr11JTUx8+fCjybiBA\nFOiou/Pe5tY7W/6OOleb2ql9qRZGIlZd7dWrl6+vb35+PpPJdHBwELf1O+Q5oKWk7bHj5Lm1\na9cKrCnPLzs7e/Xq1QiCwJsKAKrx8eNHbqrjWrJkCcxZ0QQbNmwQWM49Ly/vyJEj6qpHw8mX\n6kqqDHZc87z+2o6/o25sr/zFoZkiUx0HmUz29PTs1KkTpDqge6TtsZs7d+6hQ4fevn3bqVOn\nBQsWBAcHUygUQ0PDpqamioqKgoKCW7duHT16tK6ujkgk/vTTT21aNACAQ+SOQxUVFdnZ2Z6e\nnqqvB/BLT08Xbvz48aPqK9F8cqQ6Fht5lG599RWFyddR52xVNy2Yam3cJHclEOmAtpM22HXs\n2HHPnj2zZs3Ky8v7+eefxR2GQqEOHDjg4uKipPIAAJKg0aI73TmjXYF6kclk4UUWDA0N1VKM\nxpKvo+4bjRib5Ewt4/0wsRjWyG5FIb7fUCj5V12BVAd0gAw7T0RHR1+9elXC772rq+vNmzen\nT5+ujMIAAK0TOZvPxsbG1dVV9cUAASNGjJCyUW/JkerYbORJpuXvV735U52TZf2a0RmDOpXK\nnepgkgTQGbLNwB85cmRYWFhSUlJSUlJOTg6NRkOj0aampu7u7kFBQQEBAdBPAIAqubu7//zz\nz3/88Qe3BY/H79mzB4PBqLEqwLF27dpXr169f/+e2zJr1qwhQ4aosSTNIV9H3fdawsnHzl9K\njLgtGDR7oE/pyO5FGLT8kU6+EwHQTNLuPAFEgp0nxIGdJ5RL8s4Td+/ePX/+fElJiaur69y5\nc0Vu+gf4qWzniZaWlitXrrx584ZMJg8cOLB3795t/YxqIevOE/J11D39bBmf4tDE5N1osjNr\nmBZMpZg3yHo1Lg1MdSQSiUQiwc4TyqKHO0+IDnZHjhyZPXu2EotQ+gU1BAQ7cSDYKZd2bSmm\n+WBLMeWSPtjJ2VFXR4h77PS5mLdMDBrFDvEtHdGtCIvRtY46CHbKpYfBTvQYuzlz5sydO7ex\nsVHxp29oaPjxxx/nzJmj+KUAAABoL7lH1G2+7M2f6mxNG1eO+jS6R6HupToAFCd6jB2JRDp0\n6FBiYuLhw4eDg4PlvnpSUtLs2bO/fPlCIpHkvggAuq2+vn737t137tyh0WidOnVasWKFr6+v\nuosCQMnkSHW0Btzpp05p+byl5jgddcO7FeE0NdLV1dUdO3YsNTWVTCaHhIT88MMPMPQcqJjo\nYJeUlDRy5MjPnz/369dv5MiRq1ev7tWrl0zXTUlJ+f33369du4YgiK2tbUJCghKKBUDnNDc3\nR0ZGpqSkcB4WFxcnJiYmJCR06dJFvYUBoCzy3X59SzU7/cSxgcF7k7IxaZwWTHW0lH9AQlun\nuu/fvw8aNIi7cdyFCxc4K7y26ZMCIEDs5ImSkpJp06bdu3eP87B79+5jx44NDQ318vISt3QW\ni8XKyMi4devWxYsXX79+zWkcOnToiRMn2rdv3xbVqx2MsRMHxthJ6cyZM4sWLRJo7NKly927\nd/lbYIydcsEYO+WSMMZOjlRX04g789TpfR5/Rx0S4F4+plc+HsuSr0LV3HudO3fupUuXBBoP\nHz4cHh4uzenV1dVHjx5NT083NTUNCQkJDQ3Vxt6+hoaGjIwMBoPh4+OjCbvn6eEYO0mzYtls\n9vHjx9esWfPt2zduo5GRkbe3t5OTk6WlJYlEYrPZDQ0NFRUVubm56enptbW13CNtbGy2bt0a\nFRWljb+aUoJgJw4EOyktXbo0Li5OoBGNRhcWFuJwOG4LgUCora1NTk5ubm7u1KmTtbW1asvU\nNRDslEtksJMc6T59+vT48ePv37+bmZn16tXLz8+P0/6WanbmqWM9nddRZ2FEnxpMdW1fK+ZK\nrVB6pEtNTb148WJpaamrq+v06dP5/xjd3NyqqqoEjh83btz+/ftbvWxJSUlISEhZWZmsJyqI\nzWbHx8cfOHDg69evdnZ2kydPjo6O5n/xkcm1a9dWrlz5/ft3BEHIZPLq1avVPsIegp0InBED\ne/fu/fr1q5RP6eLismDBgpkzZ5LJZBkq1UIQ7MSBYCelVatW/fPPPwKNOByuoKCAfy268+fP\n//LLL5ydmvF4/NKlS5ctW6bSQnULBDvlEg52klPds2fPLl++zN8yZMiQ3n3Dzjx1TM3lvV2h\nUEige3lEz3wCTlM66o4fP75y5UruQ0NDw/j4eO7ACScnJ+Fu9VGjRh07dqzVK0+dOvXff/8V\naIyNjQ0NDVWs5FYcOXJkzZo1/C1RUVE7d+6U41Lv378PCwsT2B85JiYmLCxMoRIVo4fBrvWd\nJwwNDRcvXpyTk/Py5cv169cPHjzY1tZW4G4sGo22tbUdPHjw+vXrX758mZ2dvWjRIp1PdQAo\nbuDAgcKN/fv35091L1++nD9/PifVIQjCYDC2bdsWHx+vohIBkAWVSpWc6hobG69fvy7QeOs5\nY8MFL/5UZ25EXxyaOTEwV75U1xY7SeTl5a1fv56/pa6ubu7cudxE261bN+Gz/P39W70ym81+\n+PChcPuDBw/kqlRaNTU1mzZtEmiMiYkRuc1xq44ePSqQ6hAEUUGnIxAgw84T/v7+3F9QJpNZ\nVVXFWQ/FwMDA1NRU7p5bAPTZoEGDJk6ceObMGW6LlZXVjh07+I85fvy48IlHjx6VcuAOACoj\nzYi6wsJC/o58NsaE0X5pS7t+yP+v2sbpqAvvmU/UmI46jkePHjU1NQk05uTkZGdnczbx27Jl\ny5AhQ/hXCvPx8ZFmm002m93S0iLc3tZ3PDIzM4WjGIIg79698/b2lvVqhYWFwo3cqSRAZWTb\nUowLh8NZWVkptxQA9NPff/89aNCg27dv02i0zp07z5w508TEhP+AkpIS4bOKiopUVSAAraNS\nqVLuPMHfG91i2Jths5yNteC2mBsxJgdRPWxr5CujTSdJiFsxmJuNPD0979y5s3379nfv3pFI\npEGDBi1btgyPx7d6ZTQa3bVr15cvXwq0S9PbpwgikShTu2Q2NjbCjXZ2dnJcCihCzmAHAFCi\n4cOHDx8+XNx37e3thRspFEpbVgSADD5//iz9wfb29iQSqb4JzbT6sdl0JP+3erp+n9Anj4AT\n0Xcljbae+sqd4cHPyMiI013H4enpGRMTI8fFt23bNmzYMP7+M39//wkTJshxKel5eXnZ29sL\n9LSRyeSgoCA5rjZjxgzhScGzZs2Svz4gl9bH2AEA1GvWrFnCH6DnzZunlmIAECDrgiZ4PL7n\noCVNHWL5U50Btn7u4Kyo4K/ypbq2GFEnzN/fPzIyUqBx69atBAJB8Yv7+vreu3cvLCyMQqF0\n6tRp2bJlFy9exGLbtvMFi8UePHiQfwcBPB6/Y8cO+ebd+/v7796928jIiHuplStXRkREKKdW\nILXWZ8UCCWBWrDgwK1a5EhISVqxYUVFRgWjMIgJaDWbFKgU30pFIpMbGRmneTRoZmCsvKU8y\nLfkbPawLZw0uJxHkeS1V8eZgDAbj8OHDFy5cKCkpcXNzmz9/vtJnrap+r9ji4uLY2NicnBx7\ne/vIyEhPT09FrlZVVZWamkqn07t06aIJCzPp4axYCHYKgWAnDgQ7CRoaGvbv3//w4cPGxsau\nXbsuW7as1WEoBAKBTqe/evWKwWD4+vpqwrKfWg2CneL4O+qkDHYZhcannjhV1fPGnBkZMCcF\n5nZ2rJavBp3c8lX1wU636WGwgzF2AKgUk8kcPXr027dvOQ/T09MTEhIePnzY6pg5Mpnc1iOp\nAZCGHJtJNDEx8SmUp58t+bNfV+fKiYF5ZG3oqANAi8AYOwBU6sSJE9xUx1FdXb127Vp11QOA\nTORIddmlRr9d8X6SyUt1RkTm7JDsWQNzINXJh8Fg5ObmilypBADosQNApZ4/fy5lIwAaRY5I\nx2hG33xrez/NhvXfjroJAXmGRIh08mhsbNy6deuJEycYDAYGgxk3btymTZsEFkgCeg6CHQAq\nJbBri4RGdWEwGNKsvAX0ihyp7us3w9gk57Ia3oRuEr55XO/8nq7f5asBUh2CIGvWrOHuLt3S\n0nL27NnKysq4uDgd3pMdyAqCHQAqFRwcLLyfUnBwsFqK4dfS0nL8+PGDBw8WFBRYWlpOnjx5\nyZIlBgYG6q4LqJkckY7Zgr7xRrCjzodSPSkw14Qsz2wqfY50TCbz+PHjt2/frqysdHFxSUhI\nEDjgzp07b9686d69u1rKAxoIgh0AKjV58uRr1649fvyY22Jtbb1582Y1lsSxa9eu7du3c74u\nLy/ftWtXQUHBwYMH1VsVUC85Uh21zDA2yfkbja+jjtDyg39BkEe5fDXoc6pjs9kzZsy4ffs2\n52FGRobIw7KzsyHYAS7Zgt2jR4/u3r1bVFT07ds3yct83L9/X7HCANBNaDT63LlzsbGxnOVO\nunXr9tNPP0mYuK4alZWVf/75p0DjpUuXZs2a1bVrV7WUBNRLjkjX3IJOeGN7L609m827Leht\nT5vcN9eEJM/KHfoc6Thu3rzJTXUSmJubq6AYoC2kDXbNzc2TJ08+f/58m1YDgD7A4XAzZ86c\nOXOmugvh+fLli8iPaunp6RDs9JAcqS63nBzzyKm0mnfv3gDfMrZXfm+3CvlqgFSHIMizZ89a\nPYZCoQQEBKigGKAtpA12hw4d4k91BgYG/JuQAAC0mqGhoUztQIfJmuqYLahLz61vvjZn8XXU\nednTpgTlmpCho04hJSUlkg9o3779kSNH4O0Y8JM22HGm4djZ2f3555/Dhw8nk8ltWRUAQKU8\nPT1dXFxycnL4G01MTDRhVgdQGTk66ooqSbFJzgXfecGCiGsJ71kQ6F4uxzRNiHT8Vq5ceePG\nDeH2Hj16/Pjjjzk5OQ4ODoMHD4ZPX0CAtMEuMzMTQZD9+/ePGjWqLesBAKgBBoM5fPjwuHHj\nKisrOS0GBgZ///23mZmZegsDKiNrqmthoW6n2v6batPC4iU4d9uaKUFUcyPoqFPUjRs3jh8/\nLtxuaGi4a9cuNzc31ZcEtIW0wa6pqQlBkL59+7ZlMfJbuXLlp0+fJBxw+PBhGxsbkd9iMpkR\nERHiTly0aNHAgQMVrQ8Ajde5c+cXL15cuHDh69evtra2ERER9vb26i4KqIIcHXXFVQaxSc75\nFbxbNzgMa3i34hDfEjR01CksJSVlzZo1wu0GBgbJycm2tm3wen8AACAASURBVLaqLwloEWmD\nnbW1dUFBAQ6Ha9Nq5GZvby9us/mcnBw2m43Fiv2XcvYGxmAwIl9cYLd1oD9MTU3nzJmj7iqA\nSsma6lhs1N33Njff2Ta38HXU2TVMDsyxMGqSowBIdQLOnj0rbmYVGo2GVAdaJW2wGzhwYExM\nzPv37zVz9s2CBQtEticnJ2/fvj0gIMDS0lLcufX19QiCmJub//XXX21VHwAAaBg5OupKqg1i\nk5zzygU76kb1rGlqorPZEk4VASKdsOrq6sWLF4v7rq+vb6tX+Pbt22+//ZaUlNTY2Ojv7//L\nL794eXkptUag6aTdyGjFihVkMnnjxo0sFqtNC1KihoaGo0ePEonE6OhoyYchCAKzigDQPU1N\nTdu3b+/WrZudnV2/fv3i4+PVXZGmkDXVsdmoux/a/3bFiz/VdbCqWxuePrhTCQolY6aDVCfG\n27dvOTeRhBEIhI0bN0o+va6ubsSIEWfOnCkqKqqsrLxz586wYcO+fPnSBpUCzSVtsPP09Lx8\n+fKbN2+GDRsmbvFrTRMXF1dZWTlhwgQLCwsJh3H+imCeLwC6Z/78+X/88Ud+fj6DwUhPT58z\nZ05sbKy6i1IzKpUqa6oroxH/SPC48pLS3PK/twwshhXeo/DnEZlWxjLffnV2dtaBVPfvv/8O\nHTrUxcWlV69ef/31F51OV8plW1paRLa7ubldunSp1UUlDx48KPCf29DQsH79eqXUBrSF6Fux\nQ4cOFWhBo9EGBgZdu3a9e/euj4+Ph4eHra2thIFr0iyW3aaoVOqtW7coFMrIkSMlH8m5FQs9\ndgDomOfPn1+7dk2gcf369ZGRkWqpRxPI3lGHPP1seTnFgc7k9QLYmzVM60e1N2uQowAdiHQI\ngly6dGnu3Lmcr2tqan7//ff09PR//vlH8St37dqVQCAIxEQ8Hn/lyhUrK6tWT09NTRVufPfu\nneKFAS0iOpnduXNHwjlsNvvTp0+SZ6Gq3dmzZ9ls9pQpUzAYjOQjObdiyWRyTk5OUlJScXEx\ngiC2traBgYEwpRwA7fXhwwfhxvr6+uzsbD2c8CvHiLrvtYSTj52+lPAmkGHQ7IE+pSO7F2HQ\n+nvvlclk/vLLLwKN169ff/z4seILR5ibm2/ZsmX58uX8jWvXrpUm1SEIQiAQhBsNDAyEG4EO\nEx3stH3jOSqVmpKS0rFjx169erV6MKfH7u3bt48ePeJvv3r16pAhQ+bNm4fiW2czIyPjwYMH\n3Ic//PCD5Pu8eoszgZpIJOLxeHXXogswGAwajYYBAzIxMTER2c55fcNgMPrz88zKyhL5li8O\nm40kZZhdSLZt4u+oM2+aGVLgYNGIIIJ/1CgUSvJfuqurq0wFa7IvX75UVVUJt6enpw8bNkzx\n6y9evNjT03PPnj25ubkODg4//vhjaGiolOeOHDkyISFBoDEsLEx/ftWFodFovfpjR8QFu4oK\nOXf30xDnzp1js9mjR4+W5mDOGLvGxsbIyMgBAwZYWlpWVVXdunXr6tWrd+7cMTU1nThxIvfg\n7Oxs/jE6gwYNolAoSq9fZ8j0XgJaJWHwAxAWFha2fPnyxsZG/kZvb28fHx/k/4eXqKk01eHc\nWpFppaqKGtyxezbpBbw3QjSKHdqtMqJ3ORbDRhDRlxL3FJ6enrLUqwVMTU1Ftrdr105Zv1Fh\nYWFhYWFynBgdHX337t2LFy9yW3x8fHbu3KkPv+qS6diLp+RprCi2rDPUJaLT6eXl5SQSSY0L\n1n/79m327Nnt2rWLiYlp9T4sgiBVVVU1NTVGRkYCNcfHx8fExBAIhLi4OCKRyGksLy/nv6Ph\n5OQE2UUkIpFIIBDq6+tFbi0PZIXD4TAYDGedcCC92NjY5cuXMxj/2wjBxMQkISHB19fX2Ni4\nubmZ01uvwwT2iJPG8y9mZ55S6EzeK6etWVNUv1wnS0kj6ggEAoPBEHg3cXFxkfXZtUVAQEB6\nejp/C5FIfPLkiVI6JhV88WSz2QkJCQ8fPmxqavL3958yZYqe3zbB4XBYLFbgA562Q6PRRkZG\n4r4rbYbt2LGjpaXl8+fPJR/25cuXTp069erVq9Uj287Dhw/ZbHbfvn2lSXUIgpiamor8BDZ8\n+PCTJ0/S6fSsrCzu6kGWlpb8S+JVV1eLWxhZz3FeSpqbm+HnoxRoNBqFQsEPU1YTJ0708/O7\nfPlySUmJm5vb1KlTzczMOD9GNputwz9POUbU0RpwZ546fcjn3b9Go9ghvqXDuxXhMGwxkzV5\nWlpa+IOds7OzDv94Dxw4MHLkSBqNxm1Zt26dk5OTUv7JnL7PlpYWua82bNgw/pvCOvwfIQ0U\nCoVGo3XshyA53kgb7HJycsQtrsOPk5DUu2pOcnIygiDSjK6TDI/HW1hYlJWVSfMPBwBoJi8v\nL31boFWOVPeWanb6qWMDnfeO0N6kcVow1clS5k5NnZkkIYGXl1dKSsqJEye+fPliZWUVERHR\npUsXdReliUpKSjIzM01NTb28vPS841CVlHnXmcVixcXFIf8/HUEtKioq8vPz8Xi8h4eHlKew\n2eyqqipjY2OBCMxisWpqahDYVQwAoCXkiHS1jbjTT53e5/F31CEB7uVjeuXjsTIvR68PqY7D\n3Nz8559/VncVmqulpWXt2rUnTpzgrMzn5OS0d+9exTtcgDQkBbsdO3bs2LGD+7CsrEzyDNCa\nmhpOb6ca/7Y5I4UdHBykHyw8d+7c4uLixYsXDxgwgL/90aNHTU1NeDxel+ZzAQB0lXwddWee\nOtbzddRZGNGn9qW62tTKeilnZ2fljtgGWm337t3Hjh3jPszNzZ02bdrjx4+tra3VWJWekBTs\ncDhcVVUVd/IFm83+/v27NBdV4+eYvLw8BEEkLFJ16dKl79+/+/v7c5fw7tu377lz544dO2Zu\nbt65c2dO4+vXrzmrTQ4fPhw6kAEAmkyejrom3Nmnju9yecOLUSgk0L08omc+ASdzR527uzv/\ngDOgUR4+fLht27b09HRjY+OwsLDVq1crcXYjk8n8+vVrU1OTm5sbd+4tm80+dOiQwJGVlZXn\nzp1btGiRsp4aiCMp2C1ZsmTGjBkpKSnPnj3buHEjHo/v37+/hOPxeDyFQhk3blxwcLCy65RW\neXk5giDGxsbiDnjy5AmVSjUxMeEGuzFjxqSnp6elpa1bt87S0tLc3LysrKyyshJBkB49ekye\nPFk1lQMAgBzk66g7m+xY18R7/Tc3pE8NznWzqZH1Uvpz71VLPXjwYPz48Zyvy8vLY2JiPnz4\ncOPGDZlWwBHn0aNHy5Yty8/PRxDEyMjol19+mTlzJoIgdXV11dXVwscXFhYq/qSgVa2MsTM2\nNh48ePDgwYM3btxoamqq9o3CWsUZ3sddnUQaeDx+8+bN9+7de/ToUW5ubmVlJYlE6ty5c0hI\nSN++fflXJwYAAM0hR6RrYGAvPHdIyeItQc/pqAvvmU+UvaMOUp3mE94k4+3btxcuXJg0aZKC\nV87JyYmKiuIOqa+trV29erW1tfWIESMMDQ3btWvHGaTOT8qlKoCCpJ08sWzZMq2YQ7B27VrJ\nB/z999/CjWg0esiQIUOGDGmbogBQgvv378fFxZWVlbm6us6ePRveU/WcHKnuY4Hx6afO1fW8\nrhpzI8bkIKqHLXTU6ab6+vqvX78Kt6elpSl+8WPHjglPlNy1a9eIESNQKNSMGTN2794t8N17\n9+5t2rQJRje1NWmD3R9//NGmdQAAJNixY8eWLVs4XyclJcXFxV28eLF3797qrQqoi6yproGB\nPf/M4WX2fzrq+riVj+lVQMS1tkKdEEh12gKPx2OxWOGFjkkkkuIX54xoF9c4YMAA4WCXn5//\n4sULxXfUBZLp1CYbAOikz58/c1MdB51O/+mnn16/fo1Go8WdBXSSHB116YXGp544Vdfzukna\nGTAnBeV2chAxCkoyiHTaBYfDDR48+NatWwLtStnT1srKSriRO+lV+D4sh8htdoFySRvshg4d\nSiaTpRxuicViOQsSDhkypEOHDgqUBwBAnjx5ItxYUFCQk5MDa/HoFVlTXSMDc+mFw7Mv/1mm\nqpdrxdhe+SQCdNTphZ07d378+JEzv4FjxYoV/v7+il958uTJp0+fFmiMiorifNGxY0eRZ8FL\nlgpIG+zu3Lkjx9XRaPS0adP27t1LJpNbPxoAIEqLmO2cYB9e/SFHR92nIuO4x05VfB11xiTm\nxEDoqNMvVlZWycnJp0+fTktLMzMzGzZsmFJSHYIg3bt3/+uvv9auXdvQ8L99hKOjo2fNmsX5\n2sXFJTIy8vz58/ynjBo1St+2gVELaYOdj49PdXV1Y2Mj/1J2GAxGYAs2ToBjsVicDXdZLNaJ\nEyeKior+/fdfuGcEgHx69Ogh3Ghubi7uMzHQMbKmOkYz+uor+0cZ1vwLBnd1rpwYmEcmyPxh\nAFKdtiMSidHR0W1x5SlTpgwbNuzFixdNTU1dunRxcXHh/+727duNjIxOnjzJYDBwONykSZN+\n/fXXtigDCEBJv1Y4lUqdOnXq8+fPp0yZMnHixO7du3N2hqXRaK9fvz537lxMTMzIkSOPHj1q\nZmZGp9NfvXq1ffv2GzduIAhy8eLFMWPGtOG/Q02qq6uh10QkMplsYGBAo9F0bOtldVm1ahVn\nxWyuEydODB8+XF31aDsLCwsmk6n5a+rK0VGXXWoY96RDGY3AbTEiMicE5HVxlnlsk/SRzsTE\nhEajaf7OE2w2+/3791Qq1c7OrmvXrlisJo4yJ5FIJBKppqaGwWCouxYlYDAYxcXFtra26poM\ni8fj8Xi8ju35jsFgOAFMJGmDXWVlZY8ePSorK2/evCluLt6rV6+GDBni5ub26NEj7kpyY8eO\nvXTp0g8//HDlyhU5qtdwEOzEgWCnXDgc7tSpU3FxcaWlpW5ubgsXLtTkXRdpNNrff//97Nkz\nFArVp0+fhQsXSlgzXC20ItjJmuroTPTV15SkDKv/dtRVje+Ta2TQth11WhHsysrKZs6c+fz5\nc85DLy+vo0ePurm5qbcqYToW7NQOgp1Y69at27JlS0xMzLRp0yQcFhsbGxUVtX///nnz5nFa\nXr582bNnT3t7+4KCApnq1goQ7MSBYKdcBAIBi8UKrxqlgWprawcMGJCbm8ttcXJyevjwoZGR\nkfqKEqThwU6ujjqjk4+dy2t4HXVkQvP4PnndXSplvZQc9161ItiNHTv20aNH/C0eHh4PHjzQ\ntGXVINgplx4GO2nHvV2+fBmNRkdGRko+LDIyEoPBxMXFcVs4IyUrKiqkfCIAgFbbuXMnf6pD\nECQ3N3fnzp1qKkf7yJrqmlvQV17a/3XTnT/V+VBoayPSVZPqtEJOTo5AqkMQJDMzU+SUc2Es\nFuvevXt79uw5ffp0WVmZ8usDQHmkHWGQm5uLw+Fa3aqLSCQaGBhkZ2dzWzif4TT8kxwAQFm4\nt7r4PXv2TPWVaB05OuqoZYaxSc7faLxXZhK+eVzv/J6u3yWcJZKuRjqOkpISmdr5VVVVRUZG\nvnv3jvPQ0NDw77//HjlypDLrA0B5pA12eDyeRqNlZmZ6eHhIOKygoKCuro5/dYZXr14hCNK+\nfXtFqgQAaAuR2yvDnsutkjXVtbBQt1Ntb76zYbN5P1sve9qUoFwTssy38HQ71SEIQqFQRLZX\nVrbeqbl8+XJuqkMQpK6ubuHChX5+fg4ODkqrDwDlkfZWrLu7O4IgixcvptPp4o5hs9mc/YYd\nHR05LY2NjWvWrEEQRFkL5wAANFxQUJBwI2wiJAGVSpU11RVWkrZd87rx1pab6oi4lomBufOH\nfJE11Tk7O+t8qkMQxNHRUeQs8s2bNy9btkzCifX19Zy1HQQar1+/rsz6AFAeaYPd+PHjEQS5\nc+eOn5/fvn37Pnz4UFtby7nB2tDQ8OXLl5MnTwYEBJw6dQpBEE4fdUFBgaen54sXLxAEkTzl\nAgCgM5YuXSqwuLybm9vSpUvVVY8mkyPStbBQdz/YbLvqVfidt92np13NuoiPQR7lsnaM6kOk\n49q1a5fIbHfy5Enh6MZVU1MjcoVw2BoLaCxpZ8Uymcz+/fsnJycLno8SvIKjo2NqaqqJiUlV\nVZWZmRmCIBEREZcuXVJWxRoFZsWKA7NilUuLZsUiCFJfX3/gwAHOYLvevXvPmzdP0/ae0YRZ\nsXKMqCuqNDj5uEN+BS/S4bGssK7FIb4laLVGOq2YFcvh4eHBv8w+x7hx4/bv3y/y+ObmZg8P\nD+Fflb1793L6O5QOZsUqlx7OipV2jB0Oh7t79+6KFSuOHDnC/1Yt8JccFhZ2+PBhExMTBEFM\nTU07dOgQGRm5ceNGuSoHAKhIWlpaUlISg8Ho0qVL//79FbwamUxevny5UgrTSXJEOhYbdT+t\nfcIbu+YWXoJzsa6bGky1atck69X0qqNOgMjRRNxNsYRhsdjly5evXbuWv9HT0/OHH35QfnEA\nKIMM626TSKR9+/Zt3Ljx9u3b79+/z8vLq6urY7FYJBLJ1tbWy8tryJAhHTp04D8lKysLdhID\nQMNt3bp19+7d3IeDBg2KjY3F4XBqLEmHyZHqSqoMYpOc8yp4vZ44DGt4N/V31GmjTp06Cc/R\n7ty5s4RTZs+ezWQyd+3aVVNTg0KhBg0atG3btlbXiABAXWTYUgwIg1ux4mjjrVgGg3HgwIEL\nFy6UlZV17NhxwYIFYWFh6i7qf9ruVuy9e/cmTpwo0Lh8+fIVK1Yo/bk0h1puxcrdUXfjjR2T\nr6Oug1Xd1GCqtbEGddRp0a3Y9+/fh4WF8ffbubi4PHjwoNXRAiwWq6ioyMzMrK3HFcCtWOXS\nw1ux0J0GwP8sWrRo69atWVlZNBrtzZs3UVFR586dU3dRbe7y5cvCjbo6KFaN5Eh1pdUGfyR4\nXnlpz011OAxrTK+CZSM+yZrq9GTqqzQ6d+585cqVgIAAEolkbm4+fvz4q1evSpPV0Gg0hULR\ntNGiAAjTxC2QAVC9lJQU4TSzZs2a0aNHEwgEkafoBpG9Vhq715Y2kiPSsdnI08+Wl144MJp5\nn72dreqn9v3a3kSDOurUqKSk5OLFi0VFRY6OjpGRkebm5tKf6+/vf/Xq1barDQD1ki3YPXr0\n6NatWzk5OQKrEAu7f/++YoUBoFKpqanCjTU1NTk5OZxt8XSVm5ub8F8rZ91KoDg5Ul1FLeHk\nY+esEt7Wuhg0e5hfSWiXYhRKtnudOhnpEARJTEycPn06d2TCX3/9debMmR49eqi3KrVjMplx\ncXHPnj1js9m9e/eeOnWqpm2DC1RD2mDX0tIyYcKEixcvtmk1AKiLuG457hBpFov18uXLvLw8\nCoXSo0cPLBZbWVlZU1Pj4OCg1TOE5s2bd/78eYEFIDjrigNFyDWiDknKsL76yp6/o87Boj4q\nmGpj2ijr1XQ11dXW1s6bN49/vCmNRpszZ05KSoo+5xgGgzFq1KjXr19zHl6/fv38+fM3btzQ\n7RsOQCRpg93evXu5qQ6FQhkaGurznxDQPf369SMSiU1N/7nP5ebmxnl3zMjImDdvXnp6Oqfd\nxcXFwMDg48ePCIKYmZn98ssv2rsEt7W19eXLl1evXp2SksJisVxdXTdu3NizZ09116Xd5Eh1\n3+sIJ5OcvpS047agUewQ39IR3YqwGOio43nx4kVFRYVAY2Fh4bt37/T593bfvn3cVMeRmpq6\na9euVatWqaskoC7SBjvOlhJ2dnb79u0bNGgQDCAFOsbJyWnDhg38L4JGRkYHDhz4+PHj8uXL\n37x5w39wTk4O9+vKysqff/7ZyMgoPDxcdeUqlbe39/Xr1xsbG+l0OmcRSiA3uUfUXU6h0JkY\nbqOtaeO04K8OFmLXVxNHt1MdgiDipjfq2LRHWT148EBkIwQ7PSRtsPv8+TOCIEeOHAkNDW3L\negBQm+jo6G7dul26dKm0tNTNzS0qKorNZvfr10+4e0DYtm3btDfYcRgYGBgYGKi7CpVqbm6+\ndu1aenq6iYnJkCFDFB9ZKEeqq6zDxz1xziz6T0fdUL+SYX7F0FEnkre3t3AjGo3W7bGwrRK5\nsBQsmKKfpA12nF+agICAtiwGADXz8/Pz8/PjPtyyZYs0qQ5BkNzc3ObmZiwWpplrje/fvw8Y\nMODTp0+ch9u3b1+/fv3s2bPlu5ockQ5BkGdfLC8+pzTxddTZmDZOC6Y6Wsi8YKGepDoEQdzc\n3KZOnXry5En+xvnz59vY2KirpFax2eyrV68+evSovr7e399/2rRpSl/fuFu3bu/evRNo9Pf3\nV+6zAK0g7fuQnZ3d169f4X0L6JWsrCwpjzQxMYG/Du2yaNEibqpDEITBYGzatKl3796+vr6y\nXkqOVFfTiDv91OlDHu/GNxqFBHt9G92jAAcdda35/fffbW1tY2JiSktL7e3tZ82aJXciVwE2\nmx0dHZ2QkMB5eO3atRMnTty5c8fY2FiJz7J8+fKbN2+WlJRwW6ysrOA+rH6S9q0oODj469ev\nqamp0GkH9IeEpb0FTJgwoU0rAcrFZDKFVzKj0+nXr1+XKdjJ11GXkm1x4blDA53XUWdt3DQt\nmOpsJfMoMT1MdQiC4PH4ZcuWLVu2jMFgaOw0Pjabff78+XPnzmVlZZWVlfF/KycnZ8OGDbt2\n7VLi05mZmd29e3f79u1Pnz5ls9l9+vRZtWqVhYWFEp8CaAtpg93PP/98/vz5zZs337p1S6sX\ndwBAemPHjj19+rRwu6en59evX7m7EoWEhPzyyy+qLQ0opLGxUeTwo9raWukvIkeqq23EnUl2\nTM3lfWBAoZBA9/KInvkEHEumS+lnpBOgsakOQZD169cfPHhQ3Hfv3bun9Gds3769csMi0FLS\nBjsvL6/4+Pjx48eHh4f/+eefLi4ubVoW0HlsNvvKlSunTp0qLi52cnL68ccf+/Xrp+6iBAUE\nBKxdu3bHjh3cENCzZ899+/Y5OTkVFRU9evSotrbWz8+vV69e6q1Tz9XW1iYnJ1dWVrq7u3fr\n1k2aU9q1a0ehUAoKCgTaPT09pTldvo66t1Szs8mOdU28V11zI/rUvlQ3GxnSJAekOg336dMn\nCakOQRD+zWr1RGFhIZVKtbW17dChAwqFav0EIC+UlNs2r1u3rqGhITs7+/r16ygUqmPHjvb2\n9hI+Ld2+fVt5RWqu6urq5uZmdVehichksoGBAY1GEzlXC0GQbdu2/fnnn/wtf//9t/Bu9Jog\nOzv78ePH9fX13bt37927t1pqIBAIWCyWf1FWwJGYmPjTTz+Vl5dzHvbv3//48eOGhoaSz7Kw\nsDh37pzADXRPT8979+61uqCrXB112LPPnN5RBTvqwnvmE3Wio87ExIRGo0n5bqIPYmNjf/75\nZwkHDBgw4Pz58yK/RSKRSCRSTU2NzsxprampWbp06bVr1zgPe/bsuX//fkdHR9U8Ox6Px+Px\nOrYaDgaDkTBSSNpgJ2u+1pO/cAh24kgOdlQqVXj/HxKJlJ6e3upbsn6CYCdSaWlpUFBQdXU1\nf+OECRP27Nkj+UQLCwsmk3n8+PHt27dTqVQCgRAaGrpx40bJMyvl66hLyzc5/dSJ1oDjtpgb\n0qf0zXW3rZH1UpqZ6hAIdkJOnz69ePFicd8lkUj37t1zc3MT910dC3Zz5syJj4/nb/H19b19\n+7Zq7qTrYbCT9lYsFoslEolYLBaDwbR+NAASvXr1SrixoaEhLS1NXV1iApqbm6uqqiwtLdVd\nCJDk+vXrAqkOQZBLly5t27aNRCK1enpERERERER9fT2RSJT8yiZfpGugY66+ojzJ5P0W/f+I\nugICTtJe28I0NtIBkQICAvB4vEAyw2AwFhYW3bt3X7VqlbhUp3uKi4sFUh2CIGlpaY8fPw4J\nCVFLSTpPtnXsAFAKcW+imrBiSGVl5caNGy9dusRgMExMTObPnz9//nz4PKOZuHdg+TGZzMrK\nSmmCHUer++jIl+rSC4xPPXGqbuD1SRiTmJMCc30dBJNoqyDVaR0nJ6fVq1dv3LiR24LH40+f\nPq2BI4nbWmFhocj2/Px8FVeiP9T/Pgr0UO/evQkEgsDwYTMzs06dOqmrJA4WizV79uykpCTO\nw+rq6i1btjAYjOXLl6u3MCCSyGE6ZDLZyspKKdeXL9I1MjBXXv6now5BkK7OlZOC8kh4mUdu\nQKrTUvPnz+/cufPZs2eLi4tdXV1nz57t6uqq7qLUoH379iLbbW1tVVyJ/pB2jB0QCcbYidPq\n5Iljx46tXr2a+xCPxx87dmzYsGGqKlC0xMTEcePGCTTi8fhPnz61a9dO5CmqAWPsRKqrq+vf\nv39ubi5/48qVKyWPW0f+f4wdjUaTcIx8qS6j0DjuiVN1Pa+jrp0Bc2JgbmdHXe6ogzF2SqR7\nY+wmTpwosLxLx44dExMTlb79hkgwxk4qLBYrKyvr69evNBotMjIS5i0DOcycOdPb2/vUqVMF\nBQUdO3acNWuWlCtNtCmRW00wGAwqldq5c+e2eMbExMSkpKTGxsbu3buHh4fr8z1fOfZkMzQ0\nPHXq1OLFi1+/fo0gCB6PnzNnzpIlSxSsRL5I18TExKdQnn625I83XZ0rJwbmkQnQUQf01549\ne2bNmvX06VPOQ3d396NHj6om1ekn2XrsysrKNm/efPbs2e/fv3NamEwm57WYwWCMHTt23bp1\n3bt3b5NKNRL02InTao+dZjp37tyCBQuE21+/ft0Wk/OXLFly6tQp7sMuXbpcu3bNwMBA+Ejd\n7rG7cuXKn3/+mZ2dbWJiMnr06FWrVsm621JBQUFFRYWrq6uUs6ol9NjJl+o+FbU79cS5so7X\nUWdEZE4MzPNzqpL1UtoY6aDHTol0r8eO48OHD1lZWfb29t26dVPlcGo97LGTIdi9f/8+JCRE\nYE90brC7c+fO0KFDcTjcmTNnxowZo0jFWgSCnThaGuwqKip69+4tMNHS39//1q1bSn+u69ev\nR0dHCzTOmTNny5YtwgfrcLC7ePHivHnz+FsCAgLipm0WmgAAIABJREFU4+PbdIcbkcFOvkjH\naEbffGt7P82G9d+OugkBeYZEfemog2CnRLoa7NRFD4OdtC+d9fX1w4cPr6ioQKPRw4cP37Fj\nh/DT2NjYMJnM6dOnFxcXy18vAOpjYWGxf/9+IyMjboujo6PkFeTlduPGDeHGmzdvtsVzaayW\nlpZ169YJNCYnJ6v+5yBfqsv5Zrg13vvuB16qMzJonjUwe9bAHFlTnbOzs5amOtVjsWRb1RkA\nvSJtsDt06FBhYaG5ufnLly8TEhKEJwmGhIS8evXK0dGxrq7u0KFDyq4TABUZPHjwixcvdu7c\nuXTp0oMHDyYnJ7fRCukNDQ3CjTrZJydBaWkpd1wHv7S0NJXVQKVS5Uh1zBb0lZf2f93wLKvh\nDRXyoVT/8sPHrs56cftV9VgsVkxMTI8ePWxsbPz8/Hbs2KGHG3MB0Cpp73Nfv34dQZAtW7ZI\n2IrRzs5uw4YN06dPv3PnzqZNm5RTIAAqZ2VlFRUV1eph5eXlBQUFTk5OZmZmcjyLj4/PnTt3\nBBp9fX3luJT2IpFIKJSIASEq24BEvo66r2WGJ5Ocv9F4kY5EaPnBvyDIQ8S6epJBpJPe3r17\nuQMVioqKdu7cmZeXt3//fvVWBYCmkbbH7vPnzwiCRERESD5s6NChCIJ8+fJFwbIA0GTl5eVT\np0718vIaMmSIh4fH/Pnza2tl3sd97ty5FAqFv4VIJG7YsEFpVWoDU1PTwMBAgUYCgTBkyJC2\nfurPnz/LkeqaW9BXXtr/keDBn+q8KbR1ER8h1bWp6urq/2PvvgOaOvf/gT/ZEPaSJVsFREWZ\nDoZ74rbixNrq1Wpv3V3WjmvttlpH1Vb9FQdqL4obF8pUEQEFVIYQNggYCDuEJL8/zv0maRIg\nJCf78/qr+Zic89EqvHnOMySnAP3999/Z2dlq6QcAjSVrsMN2cu/zhCVbW1sikahjsxQBEMXj\n8datWxcfH4+95PP5Fy5c2LZtW3+vY2ZmduXKlblz55qZmdFotLFjx166dEnfRuwQQr/99pvo\nVqVUKvXrr7/29PRU3h0ZDMarV6/k+WCd0Z44nzs59nz+//Z4MqRyl4WUfjit0Jzev3nuMKOu\nvwoLC6UuJlDlU3sAtIKsj2KxRTpsNptGo/Xytvr6eh6P18tiDQC03dOnT1NSUsSKcXFxn332\nWX+/VTs5OR0/fhwhxOVy9XYHOycnp0ePHp07dy4/P9/a2nrOnDlK3dFQvmevXB7h1jOHG9nC\nSIcQGjqQtSK01MKo30sXIdLJoaeT31T21B4AbSFrsBsyZEhGRkZaWtrEiRN7eVtMTAxCaNCg\nQTi0BoBGEjvnQLQu9zdsvU11GDqdLrnzC+7ki3QIoSom/a8kt8q3wsNnDSjcBcEVIZ71/d2d\nHSKd3Ly8vNzd3UtKSkSLpqamYWFh6moJAM0k66NYbMrL9u3be3nMmpiYiO1cgM20A0An9TQh\nwdbWVsWdANnJl+p4fMKdHPsfrgwVTXWD7Fo+n/8i1AtSnUqRSKSjR4+am5sLKjQabf/+/dbW\n1mrsSnEVFRVffPHFkiVLNm3aJPkoAAA5yLpBcU1NjaenZ0tLi5eX186dO8eMGYMNy1VUVLx5\n86a4uDg2NjY2NpbP5xsbG5eUlPQ5G083wAbFPdHSDYpl0dXVNX78eLHDxwIDA2/cuKG84/V0\neINiZZMa6YyNjblcbkdHRy8frG40jE5yL28QRjoqmTfLr3ry8Bpi//8/63aqU9kGxUwmMyYm\npri42NHR8Z133lHSVkQqk5GRsWDBgs7OTkFl586dn3/+OWxQjCM93KC4HydPxMXFRUZG9v59\nmkQiXbp0ac6cOf3rUWtBsOuJDgc7hNDLly9Xr14teCo0bNiwU6dOiS1xxZc2BrvGxsaCggJT\nU9MhQ4ao8gQhUT0N1PUe7Hh8wr1cu+uZjhyuMMG527auCmcMMO2U+pFe6Hakw8DJE3Lg8/mj\nR48We7iMEMrMzPTz84Nghxc9DHb9+Go7f/78+/fvb9y4MScnR+obfH19jxw5MmbMmH73CIBW\nGTp0aEpKSlpaWnl5ubu7+9ixY/V8kpwYPp+/Z8+eI0eOYN+ZPDw8fvvtt+DgYFX2IPeMuppG\nw+gkt7IG4VR9CokX4Q8DdaqWnZ2dlZVlYGAQGhrq7Oys7nbwV1paKpnqEEL379/38/NTfT9A\nZ/Tvx+iQkJBnz56lpaUlJia+fv26sbGRSCRaWFh4e3uHh4cHBQUpqUsANA2VSp0wYYK6u+jN\nixcvfvjhh5ycHBMTk6lTp27ZskX0qDSlOnr06G+//SZ4WVxcHBUVlZSUZGdnp5oG5J1RhxJf\n2F7OcBIdqHMb0LoqnGFrBgN1qsPlcjdu3Hjx4kXsJZVK3blzp9iBwjqgp6cZ8BQIKKjfz0cI\nBEJISIjknqIAAM2Rm5s7Y8YMwYFLBQUFDx8+vHbtGoVCUcHdDx06JFZhMplnz56VY7e//pJ7\noK6+mXYq2e11rTD7kkm82f7VU4bXEgj9fsIIqU4Rhw4dEqQ6hFBXV9dXX33l6+s7btw4NXaF\nO3d3dysrK8kj9VQ8tg10j6yrYgEAWuTTTz8VO0YzMzPzzJkzKrg1m82uq6uTrJeVlSn1vv09\n8pXNZpeXl1dVVXVxuhPy7HZfHCaa6lxt2nbOfzl1RE1/Ux3sPKy4c+fOSRbPnz+v+k6Uikwm\n//zzz2LF5cuXQ7ADClLPjGYAgPLw+Xyp5yxlZmauXr26X5e6fft2bGxsQ0ODp6fnBx98IMsi\nRBqNZmFh0djYKFYXPV4Cd/0dqEtMTIyLi+vs7ORRHHnOu7qowoUvFBJ/5qiqqb61RBioUxPJ\nQSyEUENDg+o7UbbZs2fHxcUdOHCgsLDQ1tZ28eLFq1atUndTQOtJD3ZLlixR8Lq699MVANqC\nQCCQyWTJGTxUKrVf1/n2228FU+VSU1PPnj0bFxcXEBDQ5wffe++9vXv3ilaMjIwU/6oilRzP\nXl+8eHHu3DmECN0WczgDNvKJhoJfcrRsXxXOcLJq7+81IdLhyMPDIzMzU7KolmYwbW1tZ86c\nefnypbW19axZs3Bc3ABTmwDupG93ovh2XHqy7h22O+mJbm93onr93e5k9erV169fFytGR0fP\nnDlTxivk5ORMmjRJrOjh4fHo0aM+vz50d3dv2bJF8NOdtbX1/v37sU3O8SXfjLqDBw+WVHVy\nHD7j0kcJigTEneVXO31kDYkIA3X9hu92JwkJCWI/Bpibmz948GDgwIG4XL+/KisrZ86cWVNT\nI6js2rXro48+UtLt6HQ67GOHIz3c7kT6HDuSwpT22wEA9O2HH36wt7cXrURGRsqe6hBCUjfB\nLy4urqys7POzZDL54MGDjx8//vPPP//+++8nT57gnur6O6NOgM9HVV3Bne5/iaY6Ipvhwfl2\nll81pDpNMGnSpMOHDwt2uff29o6JiVFXqkMIbdmyRTTVIYR2797d07ZfAKid9EexMAoFgFaz\ntbVNS0s7fvz4s2fPTE1Np06dOnv27H5doacvAlwuV8YreHh4KOnxmdxLXxvbqKeTXVlmgcIS\nn0t+e5baEG03anh/rwaRTnkWL168aNGi8vJyAwMDle2SI1VbW1tSUpJk/datWyNGjFB9PwD0\nCRZPAKBrmEwmQsjS0nLLli1yX2T06NGSRQcHB/VuFSt3pEMIZTEsz6a6tLOFX/SI7FJq9XfE\nznyEUH93VodUp2xEItHV1VXdXaCOjg6pj5h7P48OADWC7U4A0B3Jycnjxo3z9PT09PQMCwt7\n+PCh3JcKDg5etmyZWHHfvn1Eonq+aMj97BUh1NRGOXx78J8JHoJURyDwqY3nDRhriJ35VCp1\n4cKF7u7uMl4NNjTRK1ZWVo6OjpJ1GK4DGqsfZ8UCSbB4oieweAJfsiyeePny5bRp00QPFKfT\n6Xfu3PH09JTvplwu98yZMxcvXqyrq/P09Ny0aZO6TjpSZKAu/bXV3w+d27uEA3UDzDrXT681\nI5UVFRWRSCRXV1djY2MZrwaRTirdPiv2xo0b7777rmhlzJgxcXFxSppNDosn8KWHiycg2CkE\ngl1PINjhS5ZgJ3Ul7IIFC44dO6bM1pRLkUjX0kmJSXV5Vir88kcgoBDP+oXB5VYWdC6X26+n\naRDpeqHbwQ4hdPv27V9++eXly5eWlpZz5sz5+OOPzczMlHQvCHb40sNgB3PsANARxcXFksXC\nwkLVd4IXBWfUnUtzae0UfomzMmFHhZUOsW+W42qQ6vTctGnTlLFfDwDKAMEOgN48ePDgl19+\nKSwstLS0XLBgwUcffWRoaNj3x9TB3Nxcsmhpaan6ThSnSKRr7yL//dA5/bWVoIIN1C0ILjeg\n8Pp7NYh0AADtAsEOgB7dvHlTcMJPU1PTL7/88vz587Nnzyq+g7cyLF68+NGjR5JFtTSjCEVS\nXV6F+dlU16Y2iqBiZdK1IpTh5QADdQAAvQDBDgDpeDzeJ598Ila8e/funTt38Hook5iYeO3a\nNSaTOXTo0Pfff1/B0bXly5dnZWWdPn1aUHn//fcjIyMVblN1FBqoY5MuZzil5NuIFoMHv106\ntoxGkXXvPVGQ6gAA2kh6sLt06VJzc/PChQtNTEywyl9//WVoaKhd3yQAUERtbW1tba1kPSsr\nC5dgt2fPnv3792P/ff369ePHj8fHx8u+6YYkAoHw66+/rly5Ejv1a9y4cVq0I4MikQ4h9KLC\n7EyKa1O78DBcMzpnWUjpCOcmOa4GkQ4AoL2kB7uoqKi2tra5c+cKKqtXr7a1tYVgB/SHgYGB\n1Douc+yePn0qSHUYJpO5adOma9euKXjlUaNGjRo1qs+38Xi8iooKPp/v7Oysrq3pBBRJdR1d\npLgn4gN1fm7M5SFldJo8K9Yh1QEAtJr0L+jYVlgVFRWqbQYADWJpaRkYGChZnzx5suIXT0hI\nkCymp6c3N8szFay/bt++7e/vHxAQEBgY6Ofnd+vWLRXcVCpFth1GCL2qMtt9cZhoqjMx5Kyf\nUrR2UrEcqQ52HgYA6ADpI3bW1tZv3rxZvnz5li1b7OzssB/ou7q6ZP8GMH36dNx6BEBNDhw4\nMGvWLOyELszOnTuHDRum+JWl7lDF5/NVsHPV8+fP33//fTabjb2sqqpas2bNtWvXZBnnw5ci\nka6TQ7qU7pRaYCO6dZqfG3NZSJkRDNQBAPSY9GA3a9askydP5uXlvf/++4JiY2PjjBkzZLyu\nDu9UCfTHoEGDHj9+/P/+3/979eqVtbX1/Pnzg4KCcLmy1BTl4uJibW2Ny/V78dtvvwlSHYbN\nZu/fvz86OlrZtxZQcEbd61rj0ynudSyaoELobnTknZ46yMGI5tLfq0GkAwDoEunB7ueffy4q\nKkpJSVFxNwBoGgsLi61bt+J+2VmzZk2cOPH+/fuixZ9//hn3Gwm0trYWFRWZm5uXlJRI/qrU\nojIoGOk4XOL1TId7ufY8kZ8cSc0PqLW/MrmsY8domzdvHjBggOwXhFQHANAx0oOdpaVlcnJy\nfn5+aWkpdlDM0qVLzczMjh49quL+ANBJBALhr7/+Onjw4NWrV9++fevj47Nt27YxY8Yo6Xb7\n9u3bt28fdoKWkZGR5BtUMFKIFE51JW+Mo5Pc6pqFi1oI3BbqmwMk1m3sJZvNvnXrVlRUlIwX\nhFQHANA9sp4VSyAQbG1tpe7+oM/grNiewFmx+JLlrNie/PXXXzt27Oj9PUePHl24cKFcrclE\nGQN1Rt3PeIz/ELobRN85YMAAyd0HJQUGBnI4HBaLpUhXQEDnz4pVJTgrFl9wVmyPNm7caGpq\nilNLAADV+e2333p/w4cffqjJqY5RZxyd5PaGJRyoo9O48wIrXiYdKvxnqkM9b1IjCgbqAAA6\nTNZgd+jQIRnfuWTJkqFDh3755ZfytgQAwE13d3dlZaVkfcaMGVOnTkUIBQcHDx48WEl3VzDS\ndXOJ1zId7uba8fnCM9x8BrJWhJaaG3VRmnwLCwvFPuLr69vLBSHSAQB0Hs5HinG53KtXrz54\n8ACCHegFn8/Pzs4uLS11cnLy9/dX+wa5OoxMJltaWoru2IIZMmTIihUrlHprBVNdab1RdJJb\nbZNwO2gDCndBcEWoVz32Mjg4uLi4OCsrS/CGYcOGhYWF9XRBSHUAAH3Q72BXUVGRl5fX3Nws\nOZ2iubn5ypUrHR0dmnlEOtAQVVVVa9euzcjIwF6OGDHi+PHj8E1Xed59991ff/1VtGJoaLh4\n8WLl3VHBSMflERLy7K4+deTyhF9JvB1ZK8NKLYyEs44IBMLy5cuDgoKKiooQQu7u7l5eXj1d\nE/6CAQD0RD+CXXV19XvvvXf79u0+3zl8+HAFWgK6jM/nr1u3TpDqEEI5OTnvv//+7du3KRSK\nGhvTYdu3by8tLb106RL20tzc/JdffhkyZIgy7tVnpMMGa7OyslpbW21tbcePH29vby/6hiom\nPTrJreItXVChknlzAyon+LyR+gPj4MGDe3+UDJEOAKBXZA12bW1tEyZMkJzRIsnHxwd2RQE9\nefHiRXp6ulgxNzf3yZMn48aNU0tLOo9CoRw7dmzz5s05OTkmJiZjxozpZTmVImQZqLty5Ypg\ng8yKiopnz57961//8vDwQAjx+IR7uXbXMh27ucIEN8iudWVoyQAztvTL9QVSHQBA38ga7I4e\nPYqlOmzOtYODw5YtW6qrq//73/92dXXl5eWdOnWqra3t77//njJlijIbBtqtpqamX3WAF29v\nb29vbyVdXMZnr+Xl5WLbnnd3d587d27nzp01TfToJLfyBuEeexQSL8K/evLwGqJcMzsg0gEA\n9JOswe7y5csIoQ8//PDgwYNYBVsesWjRIsHL9evXz50799KlS3BQLOiJk5OT1LqLS79PggIa\nQvYZdcXFxZLFxqbmK+nm918N5ogM1Lnbtq4KYwww65SvJUh1AAC9JWuwe/nyJULoo48+6ukN\nBgYGJ0+eLC8vf+edd3Jzc11dXXHpD+gYLy+vyZMn37t3T7Q4evRof39/dbUE5KbgIgmEEI/m\n2uXw+e084YQ/bKBuyvBaAkGe3W4h0gEA9Jyswa65uRkhJBrXsKWvHA5HMOedSCR+/fXX4eHh\nv/322759+3DuVCORSCRYAiwVtoMJmSzlL9jRo0c//PDDW7duYS8nTJjw+++/02g0yXcCARKJ\nRCQSNWd9CTb2RiKR+vWpf6xyIBC7zSO6BnyIiMIthd1t294dX2Zn3omQPDvgYHP1ZEQgEDTn\nz1Pt2traCgoKKBSKp6cnlUrt78exP0w4eQIX2D8rEokEfz9xQSaTNeqLJy563yNM1iPF6HR6\nR0dHe3u7oeH/tpUKDAx8+vTpmzdvRI/c5vF4NBrNy8srNzdXkaa1RWennI+KdB6ZTCaTyV1d\nXTweT+obysrKiouLXV1d3d3dVdybNsJ+hNCQ8+tkWUTVk9jY2MTERD7Vocv+My5duJkwhcyf\nG1g7Y1SDfAN1CKF+rfM1MDDg8XhwZBPm2LFjX331FXbAmoODw4EDB2bNmtWvK9BotK6uLgh2\nuOjziyfoFyKRSCKRdO9wy15O2ZE12Hl4eJSUlDx+/Dg4OBirRERE3Lhx486dO2KrJbCTx7AR\nPp0HZ8X2BM6KxZciZ8XiSPFnr1we/+wdbnplAA8Jf4B2sWlbFc6wN++Q75pyPH61traGs2Ix\nt27dWrlypWjFwMDgzp07/VpqA2fF4gjOisWXHp4VK+vzjoCAAITQp59+KvjWgs12P336tOjb\nCgsLW1pauFyunM0CADSV4qnubQvtQLz3o8oxglRHIvKnjqjZMfuVKlMdECVYDyfQ2dkJW1YB\noL1kDXarVq1CCCUmJtra2qalpSGEsIG606dP79y5s6amhsPhZGVlYYcUKWnvUwCAWjAYDAVT\nHZ+PEl8O2H1pWGGNiaDoZNX+2byX84MqSUQ510lAqlNceXm5ZLGsrEwFt2az2enp6Tdv3iwp\nKVHB7QDQE7Iunpg5c+bChQsvXrzY1taGTUKcPXu2t7f3q1evvvvuu++++070zco+gxIAoBqK\nj9IhhN620k4nuxZUmwoqJCJ/xsia6SOr5Yt0SGsH6kpLS4uLi+3t7b28vDTkiGRbW9va2lqx\nothxIMqQnp6+YcMGQaxcsGDBgQMHYBEVAIrrx1eW8+fPf//9966urra2tgghEol06dIlye3H\n5s6du2nTJjx7BEAvcbnckydPjh071tHR0c/P79ChQyqe0IlLqkt/bb37oo9oqrO36Ngx59Us\nvyq9SnUsFuvdd98NDAxcsmRJeHj4jBkzNGSY6r333pMsYo9olOft27erV68WHSy8dOnSN998\no9SbisnJydmzZ8+OHTtOnjzZ0SHnTAAANJCsiyd60tzcfOrUqfT0dBaL5eDgMGvWrIiICP3Z\nAQQWT/QEFk8o7ocffti7d69oZf369bt371bBrXGJdKx2Skyqa065uaBCJPAnD6+N8K+ikNQc\n6VS/eGLt2rXYNu8C3t7e9+7dk2NvEdx98803f/zxBzZVn06nf/PNN++++26/rtDfxRPHjx//\n7LPPxIpUKrW4uLiXtX44Onz48Ndffy146eTkdOPGDRWMU8oCFk/gSw8XTyga7PQcBLueQLBT\nUG1t7ciRIyXXIaWnpyt7gxhcUt2jQuv/Pnbu6BJudGdn3rEqnOFqI//CXhwH6lQc7GpqakaM\nGCFZP336tIac01NeXp6dnU0mk4ODg62trfv78f4Gu927dx84cECy/uzZM0dHx/7evb/y8vIm\nTJggVpw0adL58+eVfWtZQLDDlx4GO1nn2AEAVOnFixdSV5fn5uYqL9jhEulaOihnU12elwm/\n6BAJaJxn/aLR5VSynPtyaeOzV1GVlZX9qques7Ozs7Ozym43cOBAyaKBgYGNjY0K7h4fHy9Z\nfPDgQVtbm5GRkeQvAaBd5Al2PB6vqKiopKSExWJFRkbqz4NXAFRGsBO4jHUF4RLpEEJZDMuY\nVJc2tvALi7UJOyqMMdi+Re5ranuqQwg5ODhIratgdEozzZs3b9++fTU1NaLFNWvWqObBdHt7\nu2SRx+N1dHRAsAM6oH/Lsurq6v79738PGDDAy8tr5syZS5cuFQwqdHV1zZ079+nTp0poEgC9\n4+fnh61SEmVpaTl69Gjc74XXQN2xe4P+TPAQpDoiAU0c9mbXwjw9T3UIIUdHx4iICLHikCFD\nJB8I6gkLC4vo6GjRjbFWrlwpOetOSXx8fCSLDg4OVlZWqmkAAKXqx4jd8+fPJ0+e3NDQIPVX\nHzx4cPXq1fj4+JiYmEWLFuHUHgB6ysDA4PDhw1FRUYLRBUNDwwMHDmAnu+AFx4G68w9dWjqE\nX0+sjNlR4aVD7OU/gUY3Ip3A3r1729vb79+/j7308fE5duyYahYKaKZRo0YlJSW9evWqoaHB\ny8tLlQsX5s2bd/LkyYyMDNHinj174OkT0A2yLp5oa2vz8vKqrKwkEokzZ84MCwv7+OOPEUIc\nDgc76P3evXtRUVE1NTXGxsYFBQU9PXrQMbB4oieweAIXVVVVZ8+eLSsrc3NzW7VqFb4zkHBJ\nde1d5MtPBqbkCxsjEFCIZ/2C4HIDivwnXSo71anrSLH8/Pzi4mIHB4cRI0ZgZ73rBq07Uqyx\nsfGHH364fPlyc3Ozp6fnjh07+ns8rvLA4gl86eHiCVmD3d69e7dv325lZXX79m1/f3+EEPbD\njSDYIYSqqqrGjRtXVla2a9eu//znP3g0r+kg2PUEgh2+8D0rFq+BurwKs7Opbk1twlNfrUy6\nVoQwvBw1faAOzorFl9YFOwEul6tpCRuCHb70MNjJOsfu6tWrCKFvv/0WS3VSOTo6YjsD3b59\nu389AgBUQvHDwTDtbFJMquvh20NEU52fG/Pz+S80P9UBIKC8VFdfX//gwYPk5OTmZvn/RQAg\nB1nn2BUUFCCEFi5c2PvbsD2ZCgsLFWwLAIA7vAbqXlSanUlxbWoTLmA0NeQsDykd4dKkyGUl\nU11tbe3vv//+8uVLCwuL2bNnz5kzR5HrA6Ay+/fv/+WXX9hsNkLIzMzs22+/XbJkibqbAvpC\n1mDHZDLpdHqfU3xsbW2JRKKOjXkCoO3winSdHNKldCfRGXUIIT835vKQMjpN/jkJUgfqCgsL\np0+f3tLyvxW1ly9fXrVq1S+//CL3XQBQjcuXL+/Zs0fwksVibd++3cPDIzAwUI1dAf0h66NY\nOp3e0dGB/fzRi/r6eh6PZ2ZmpnBjAAAc4PXsFSH0qsrsP7HDRFOdiSFn/ZTXaycV457qEEJb\ntmwRpDpMdHR0cnKy3DcCQDX++OMPsQqbzT5x4oRamgF6SNZgN2TIED6fn5aW1vvbYmJiEEKD\nBg1StC8AgMLwinRd3cS/HzkfvDWkUeTxq58b86tFeb4ujXJf1s3NradU197eLrYbBSYxMVHu\n2wGgGtXV1ZLFqqoq1XcC9JOswW7atGkIoe3bt/fymDUxMXHXrl3o/2baAQDUBceBute1xnvi\nhj14YStY8mhiwPnXpNdrJxUbKWGgDsPlcqUusYRF6EDzSd3ty8nJSfWdAP0ka7DbsGGDiYlJ\ndnZ2YGDgmTNniouLsXptbW1mZubff/+9ePHiiRMntra2Ghsbb9y4UWkNAwD6gFek43CJcU8G\n7rvhXceiCYp+bsxdC/NGuck/UIdkWP1qYmLi7e0tWVfGwRtAVzU2NlZWVqp+E5YNGzaIVWg0\n2po1a1TcBtBbsu5jhxCKi4uLjIzsfVsyEol06dIl/Vm8pif72HE4nJaWFktLS9k/AvvY4UvG\nfezwinQIoZI3xtHJbnUs4dEIdBp3XmBFqFe9IpeVfUOTjIyMmTNnilamT59+6tQpXI4HgH3s\n8KVp+9i9ePFi+/bt2BGXNjY2X375pYoXpR4+fPjHH3/s6OhACFlaWn733Xd97ikhAPvY4UsP\n97HrR7BDCKWmpm7cuDEnJ0fqr/r6+h45cmQkVedoAAAgAElEQVTMmDH97lFr6Xywq66u3rlz\n5+3btzkcjr29/ccff7xixQpZPgjBDl99BjscI103l3gt0+Furh2fL4xQw5xYy0MY5kYK/d/s\n7zZ1L168+PXXX/Py8iwtLWfPno3jIfEQ7PClUcGuoaEhPDy8rq5OtBgdHS32c4KyMZnM3Nxc\nKpU6fPhwY2Nj2T8IwQ5fEOz6hi2hSExMfP36dWNjI5FItLCw8Pb2Dg8PDwoKUrhbLaPbwY7N\nZk+dOvXly5eixYMHD8rysy8EO3z1HuxwTHWMOuNTyW61TcKBOkMqd35QRahXPfZXXXDSTL9o\n2s7DEOzwpVHB7scff5TcFsfb21tbllRDsMOXHga7fn+NJhAIISEhISEhinUFtMDFixfFUh1C\n6D//+c/ixYuJRFlnZwKl6jPStbW1paWl1dXVGRsbjxo1ysXFpad3Sh2oGzqQtTK0tJ1V+vvv\nl0tLS/l8vqOj45w5c9zd3WVvUtNSHdBtr1+/lrEIgE6S54dvoCew40bE1NfXM5lMa2tr1fcD\nxPSZ6mpraw8fPtze3o69TElJmT179vjx4yXfWcmkRye6VTLpgooBhbsguCLEs57Fajpy5Ijg\nIhUVFX/88cemTZvs7e1laRJSHVAxqbOB+zVFGACthvO4S05Ozrx58+bNm4fvZYFaSN1omkwm\n92u+CFAGGXczOXfunCCQYeLj42tra0UrXB7hTo79D5eHiqY6b8fmXQvzQr3qCQSUkJAgdhEO\nhxMfH9/n3XvZpg4A5XnnnXcki3CiF9AfOI/Y1dXVXblyBd9rAnWJiIjYt29fZ2enaHHmzJkG\nBgY9fQQoW+95rru7OzU1taSkhMfjOTo6VlZWSr4hPz/fzs4Oe1nFNIxOcq94K4x0VDJvbkDl\nBJ83grWnYkEQI3ULVlEQ6YC6BAQE7Nmz55tvvhHMUZs6derHH3+s3q4AUBl4FAt6NGTIkO+/\n//7TTz8VHCU3dOjQn3/+Wb1d6bM+U93BgwcFYe7Vq1dS34YtZ+HxCfdy7a5lOnZzhTPqPGxb\no8JKBpj94+RAqTne0NCwpzYg0gG1+9e//jVt2rSkpKSWlhZ/f3/Y/hDoFQh2oDcrVqwICQm5\nffs2k8kcNmzYjBkz5FsUCRT0+vVrEokkWW9oaIiPjy8rKyORSIaGhpJDdJKcnZ1rGg2jk9zK\nGowERQqJF+FfPXl4DVFik7iRI0dKrqEZOXKk1ItDqgMawsXFJSoqSt1dAKAG8E0a9MHV1XXd\nunXq7kJ/YaN0UvM0k8mUfFbeO59hI8rY469fduSIDNS5D2hdFc4YYCb9Ov7+/sXFxenp6YLK\n0KFDJ0yYIPlOSHUAAKB2EOwA0Fy9P3u9du1an6nO0tLS1NS0trbWxMRk8PCpRZzlGU+Ea1/I\nJN5s/+opw2sJhN52IFu8eHFAQEBRURGXy3V3d/fy8hJ7A0Q6AADQEBDsANBEsix6LS8v7/M9\n3t7eCxYs4PFRWoFN7GPnrm7hQni3AW1RYSV25jIN+Lm7u/e0dx2kOgAA0BwQ7ADQODKeJCF1\n1p0oc3PzadOmNbTQTiW7FdWYCD9I5M8YWTNzVHXvA3V9gkgHAACaBoIdABqkX4eDeXl5paWl\niRUHDRqEnTzm7u4+efKUrArXi+nObI5woM7Rsv3dcMZAq3akGEh1AACggSDYAaAR5DjvdebM\nmUVFRaKHnXt5ea1Zs4bD4VCp1IYW2vF/DtSRSfyZo6qn+dYQFRuoQ5DqAABAU/UW7O7du9ff\ny2VnZyvQDAB6So5UhxAyMDDYunXrw4cPS0tLyWSyh4dHQ0PDl19+2d7eQbZ/p93iX918quDN\njpYdUWElztYwUAcAALqst2A3ZcoUlfUBgH6SL9IJUCiU8PDw8PBwhNCZM2eys7P5FLsu5z3t\nRv7o/0blSET+9JE1M0ZWk4gwUAcAADoOHsUCoB4KRjoxFRUV2dnPus0jugZsRCThzsN2Zm2r\nJ5Q5W7cpfgtIdQAAoPl6C3affPKJyvoAoE9cLvfp06cVFRWurq7+/v4EgsQhCdoD31SHECqp\nYLGdvuMajxOp8cgN55aEU5ytFQ1kEOkAAEBb9BbsfvjhB5X1AUDvSkpK3n///by8POxlQEDA\n8ePHHR0d1duVHHCPdAihLIZlXOEyrjFNUCF0VVGrvyd15BjTtyp4cUh1AACgReBRLNACHA5n\nzZo1glSHEHr69Om6deuuXbumXeN2uKe65g7K2VTXnDJzYYnPozT+l1J/HPHYAwYMcHBwkPvi\nEOmAIrq6us6dO/fs2TNTU9NJkyaFhYWpuyMA9AIEO6AFMjIycnNzxYrp6em5ubkjRoxQS0v9\npYyBuoxiywsPXdrYwn/FpO5qStV3xPYchJCxsfHKlSvlDr6Q6oAiWCzWrFmzCgoKsJe///77\n2rVrv/vuO/V2BYA+gGAHtEBtbW1Pdc0PdsqIdC0d5HMPXbMZFoIKgYBCPOunDC18kePS1GRm\nY2Pj7+9vYGAg3/Uh1QEF7dq1S5DqMH/++eeECRNgswUAlA2CHdACTk5OUuvOzs4q7qS/lJHq\nshkW5x66tnQI//FambCjwhhD7FsQMho/frwiF4dIB3ARHx8vWbx58yYEOwCUDYId0AL+/v5j\nx459+PChaHHKlCleXl7qaqlPyoh07WzS5QynlHwbQQUbqFsYXEGjcBW/PqQ6gJf2dilbYUst\nAgDwBcEOaAEikXjs2LGPPvrowYMHWGXmzJn79u1Tb1c9UUakQwg9Y5j+9cCxuYMiqFgYda0M\nY3g7NuNyfY1KdTwe79y5c/fu3WttbR05cuQHH3xgaWmp7qZAPwwfPjwzM1OsqPkTJwDQAQQ+\nX9HN6PVZU1NTd3e3urvQREZGRoaGhiwWi8Ph4HjZ8vLyiooKFxeXgQMH4nhZHCkj1XV0kS5n\nOCe/shYt+rkxl4eW0ak4/PXTqEiHEOLz+e++++7NmzcFFWtr64SEBEVW+IqxtrbmcDgsFguv\nC+o5c3NzFosl+t0kIyNj/vz5bDZbUPH09Lx7966hoaE6GtQmdDqdTqc3Nzd3dXWpuxddQKVS\nqVRqa2uruhvBE4lEsrCw6OlXiapsBQAFOTs7jxs3TjNTHYPBUEaqe1Fh9p/YYaKpztyIs3Fa\n4dpJxTqZ6hBCcXFxoqkOIdTQ0PDZZ5+pqx8gh8DAwNjY2NGjRxsYGFhZWS1duvTSpUuQ6gBQ\nAXgUCwAOlBHpOjmk/z5yelhoI1oMHvR28dhyXY10mMTERMmi4Ck80BajR4++du2aursAQO9A\nsANAIUqaUZdfZXo6xY3ZShVUTA27l44rHenaiMv1NTbVIYS4XCkLQXg8Hp/P1679qAEAQPUg\n2AEgJyVFuq5u4o0sh3u59jyR6a8BHk1R46sphLZ+XYrNZtfX1xsZGYnNxtDkVIcQCg4O/vvv\nv8WKQ4YMgVQHAAB9gmAHgDyUlOqK3xifSnKraxZuLEyndi8eWz7Oi0UikURmoveBz+fHx8cn\nJSVhi3ucnJwiIyPt7e01PNJhli1bduHChSdPnogWc3Nzv/jii2+//VZdXQEAgFaAxRO6gMfj\nqbsFPaKkRRIcLjHuycBfr3uLprphTk27FuYFD3rb36vdv38/ISFBsGS7oqLixIkT2rJjCJlM\njo2NdXV1FasfO3YsNTVVHR0BAIDWgGCnxd6+fbtlyxZPT8+BAwdOmTIlISFB3R3pOCVFOoRQ\nSZ3xnks+d3KEj1/pNO6ykNKN04rMjfq9XwyPxxNbapCSknL16tXY2FhculUBEolUXl4uWb93\n757qmwEAAC0Cj2K1VVdX1+LFi3NycrCXz549W7JkyYULFyZOnKjexnSVkiJdN5d4LdPhbq4d\nny+cQObjxFoRWmpOl3MXq/b29o6ODsHLlJQU7D/6+1vo6urKz89vb2/38vIyNzeXrxn5cDgc\nqePQbNmfRgMAgF6CYKetLly4IEh1Ap9//vnjx4/V0o8OU1KkQwgx6oxOJbvXNgmfvRpSufOD\nKkK96hW5rIGBAZlMxp7DClIdQsjW1lb2izx48GDr1q2VlZUIIRqNtnnz5u3btyvSVb8YGRl5\neXnl5+eL1f39/VXWAwAAaCMIdtoqLy9PslhcXNze3k6n01Xfj05SXqTj8ggJeXZXnzpyecKB\nOm9H1sqwUgsjRbebJ5PJQUFBP/74o2jR1NR0/vz5Ml6htLT0vffeE+zVzmazf/zxR1tb25Ur\nVyrYm+x+/PHHuXPnilZCQkIWLFigsgYAAEAbwRw7bSU1vVEoFCqVKlkHclBeqqti0n+4MjTu\nyUBBqjOgcJeFlP57eqHiqQ6zYcOGyZMnC15aWloeOXJE9hM7oqOjJU/gOXToEC69yWjs2LE3\nb96cMGGCjY3N4MGDN2/efObMGSIRvmQBAEBvYMROW82cOVPyG+306dPJZPh/qijlRToen3Av\n1+5apmM3VzhQN8iuJSqMYWOK2+wxbE+Tc+fOZWdnv3jxwtLScty4cWZmZrJfoaKiQsaiUgUG\nBkpuaAcAAKAXEAK0VWBg4Mcff/zTTz8JKm5ubqIvgXyUl+qqGw2jk9zLG4RDrVQyb5Zf9eTh\nNUScdt4V26Zu1KhRo0aNkuM6dnZ2MhYBAABoFAh2WmzHjh0TJ06Mj49vamoaMWJEZGQkjUZT\nd1NaTNkDddczHTkiA3Xutq2rwhkDTDvxuguOmw+vWLEiOjq6s/Mfva1duxav6wMAAFASCHba\nzd/fH9YJKk55kQ4hVNNkGJ3kVlZvJKhQSLwIfzwH6hDep4R5eXkdPnx4x44dTCYTq6xZs2bd\nunU43gIAAIAyQLAD+k6ZA3Uo8YXt5Qwn0YE6twGtq8IZtmaaOFAnas6cOePHj8/MzGxtbR05\ncqSTk5My7gIAAABfEOyA/uol0rFYLCMjI0VWotQ3004nuxXVmggqZBJvtn/1lOG1BAK/lw/2\ni1LPfjU1NZ0wYYLyrg8AAAB3EOyAPuop0vH5/KSkpISEhPb2diKROHz48Hnz5pmamvbr4nw+\nSi2wuZjuzOYI9+ZwtWlbFc6wM+/o5YP9otRIBwAAQEtBsAN6p5eBuqSkpGvXrmH/zePxnj9/\n3tjY+OGHH5JIJBkv/raFdirZrbBGOFBHIvInDaudE1BFIuIzUNfY2Mjlcs3MzCwtLXG5IAAA\nAJ0BwQ7okd6n03V3d9+5c0esWF5enpubO3LkyD4vjg3UXUp37hQZqHO0bF8VznCyapevYTGN\njY0XLlw4efIkQohIJC5ZsuT777+Hg0YePnyYmJjI4XACAgJmzpxJIOC3JgUAALQNBDugF2RZ\nIdHU1CT1jPk3b970+dm3rbTTya4F1cKHtkQCf/Lw2tn+VWQSPgN1XC73k08+efbsGfaSx+PF\nxMQQCIT9+/fjcn0ttW3btlOnTglehoaGnj9/Hs5fAQDoLTifB+g+Gde9GhoaSh3s6X1IjM9H\nKfk2uy/6iKY6B4uOT+a+mh9UiVeqQwiVlZUJUp3AuXPn6urq8LqF1omLixNNdQihlJSUvXv3\nqqsfAABQOwh2QJcxGAzZdzMxMjLy9PQUK9JotGHDhvX0EVY75cjdwTGprmzO/ybhEQn8qSNq\nPp33wtm6Tb6epRo0aFBpaalkncfjlZWV4Xgj7XL16lXJ4pUrV1TfCQAAaAh4FAt0k3y700VG\nRh47dqy2thZ7SaPRlixZYmFhIfXNWQzLsyku7V3Cf0T25h2rwhkuNnhGOsHqV1tbW6lv0OeT\nvlpbWyWLLS0tqu9Et7FYrL179yYmJnZ0dAQGBn7yyScuLi7qbgoAIB0EO6CD5N5z2NTUdNu2\nbXl5eTU1Naampj4+PlL3OmnuoMSkuj4vMxdUiAQUPvTN/KAKCn7PXtE/9zSZPHmys7NzeXm5\n6BsmTZqkn1sHM5nMhw8fSn107uPjo/p+dFhnZ+fs2bNfvXqFvSwtLb19+/b9+/ch2wGgmSDY\nAZ2i+DESRCJxxIgRI0aM6OkNWQzLmFSXNrbw3461CTsqnDHYDs+BIslt6oyNjU+cOLFmzRrB\ns9egoKCDBw/ieFNtcf369S1btjQ1NUn+koGBwZdffqn6lnTYsWPHBKkO09zcvGvXLrHZjQAA\nDQHBDugOpR75inoYqJsw7M3cgEoKiYfjjXrafHjkyJFpaWmPHj2qqanx8PAIDAzUw609GAzG\nxo0b29v/sYMMiUQiEAgjR4786quvepkTCeTw9OlTyeKTJ09U3wkAQBYQ7IAuUHakQwhlMSzP\npbm0dgr/yViZsKPCGEPscZ7R1fuREjQabfz48fjeUbtcvHhRLNUhhGg0Wn5+vqGhoVpa0m1S\nD9ajUCiq7wQAIAsIdkC7qSDStXSQzz90yWIIj3kgEFC4d928wAoaRcpAHZfLffnyZUNDg7m5\nube3t4GBgYw3glPCZFFfXy9ZbG9v53A4EOyUYeLEidevX5csqqUZAECfINgBLaaCVJddanEu\n1aWlUzg+YWXMXhlW6unQLPX9TCbzzz//FOwtZ2JiEhUV5e7uLvqe7u7u5OTkvLy8zs5OR0fH\nKVOmDBgwAFKdjFxdXSWL1tbWJiYmknWguOXLl1+/fv3+/fuCirOz89dff62+jgAAvYFgB7SS\nCiJdO5t0OcMpJd9GtEhi3SZXH0ej5iIkvuMd5uzZs6I7Bre0tJw+ffqTTz4RjNvx+fyTJ08W\nFBRgL9+8eZObm7tr1y7l/CZ0UGRk5NGjR6urq0WLW7du1cPphqpBJBJjYmIuXLhw//59Npvt\n7++/du1aIyMjdfcFAJAOgh3QMiqIdAihFxVmZ1Jcm9qFJ1MRut9Sa38htaS1IHTq1Knt27dL\n7m9XV1cnuY1wc3NzQUGBr68v9jI7O1uQ6hBCKSkp2Hvi4+OV8RvRPZaWlmfPnt20aVNOTg5C\nyNDQcNOmTWvWrFF3X7qMRCItW7Zs2bJl6m4EANA3CHZAm6hmoC423flRobVokdx0k/LmIIH3\nv52HOzs7nz59OmXKFPHPSkzqx7S1CbcsFv0tYKkOIZSZmdnV1QUnnMpo2LBhCQkJFRUVTU1N\ngwYNgql1AAAgAMEOaAfVDNS9qjI7neza2CYMWCaGnK6ir0gtqWLvZLFYkh+3trYmEAh8vvge\nxTY2wue5ROL/zvETpDqsqKQniSUlJXv37s3JyTExMZk2bdr69etpNJoybqR6Tk5O+rk5MwAA\n9AKCHegbn8+/efNmVlYWttdGUFCQKu+umkjXySFdTHdKK7ARTWVBg94uHl3243fZkmeEWVpa\nStSQsbFxSEiIaGJDCA0ePHjQoEGiL7///nuxD4aEhChj/4j8/PypU6d2dHRgLzMyMpKTk//7\n3/8KwiUAAAAdQ4LFTYro7Ozk8fDcmVYDdXV1vfPOOwcOHEhPT3/48GFMTExTU9OkSZN6/xSV\nSqVQKGw2W8E/H9Wkuvxq00O3PQuqhaeHmRhyVo9nzBhZQyXzeTxeUVGR6PuNjIzeeecdqUNf\ngwYN6u7urqys5PF4BALBz88vMjJS9BlrcHBwcXGx6Fb+5ubmp0+f7ulEWgyZTCYSiRwOp1+/\nr/fee0/sD7CsrMzFxQW28KXT6Twej81mq7sRHWFgYAB/mHihUCjYF08ul6vuXnQBiUQikUhd\nXV3qbgRPRCKxlykoOjJix+FwFi5c2NOvbtq0qc8gUldXFxsbm52d/fbtW0NDw8GDB8+ZM8fP\nzw/vTrXPzz//nJr6jweRf/7559ixYyMiIpR6X9VEOg6XeD3T4V6uPU9koM7Pjbl0XJmxQTf2\ncuLEiW1tbampqdjXWRsbmyVLlvS0uQaZTJ49e/bMmTOZTKa5ubnoOJxgQ5OjR49OnDjx1q1b\nTU1Nvr6+GzZsGDBgAO6/NR6Pl5GRIVl//PjxkiVLcL8dAAAATaAjwa61tRUhRCKRpG4GJvUc\nd1GvX7/etWtXW1ubmZmZt7c3i8XKysrKyspavXr1/PnzldKx9rh8+bLUovKCnWoiHUKo5I1x\ndJJbXbNwA2E6tXvxmPLgwW9F30YgEObMmTNp0qSamho6nW5nZ9fno0wSiSQ6rw79c/NhAoEQ\nGRkZGRmJx2+iRwQCQWqfJBJJqfcFAACgRjoS7LBVh1ZWVr/++mt/P8vlcn/99de2traIiIj3\n338f+7b3/Pnz3bt3R0dH+/r6iu0uq29aWqQcmSW1iAs1DtQNc2ItD2GYG0l/3GlkZCQ6Va5f\n1LL5MIFACA0NTUhIEKuHh4ervhkAAACqoSNzqLFtJuh0uhyfffLkSWVlpaOj49q1awWDGb6+\nvvPnz+fxeFLHq/TK0KFDJYs+Pj6434jBYKgm1THqjPdc8rmTI0x1dBp3WUjpxmmFPaU6ubm5\nuanxSImffvpJbOpeRETEnDlz1NUPAAAAZdORETvsUax8m6E/fvwYIRQeHi6238T48eMvXLjw\n+PFjHo+nz6sIv/jiizlz5ojOjLa1td24cSO+d1FNpOvmEq9lOtzNtePzhf+vfQayVoSWmhvh\nP7VW7aeEOTs7p6WlHTp06Pnz52ZmZlOnTl26dKl6WwIAAKBUOhLssEex8o3YFRcXI4SGDBki\nVnd0dKTT6e3t7dXV1QMHDlS8SS3l5+cXExPzzTff5OXlkcnk0NDQ3bt3W1lZ4XV9lc2oK603\nik5yq20SriQyoHAXBFeEekk5VF5xak91GBsbm2+++UbdXQAAAFARHQl22KNYIyOj4uLipKQk\n7BxJBweHkJAQycQmpra2Fv1zC1kBGxubsrIyPQ92CKGwsLCEhAQ2m00kEnHcbk1lkY7LIyTk\n2V196sjlCQfqvB1ZK8NKLXRxoA4AAIDe0pFgh43YZWVlJSYmitYvX748bdq0DRs29LStP5fL\nxba3kbolDFYU7O+q5/A9sUBlqa6KSY9Ocqt4KxzNpZJ5cwMqJ/i8UcZZD7ikupcvX+bl5VlY\nWAQHB/e5phsAAAAQ0JFgh82x6+joiIyMnDhxoo2NTWNj482bNy9fvnz79m0LC4uejq8WbFoo\ndSAKK4pOL7t169ZPP/0keHnkyJE+RwT1E5akpYYSbG9e+SZE9guPT4jPsrr4yKabK0xwQxza\n106ptjXvQgj/Bry9vRW8ApvNXrlyZWxsLPbSxsbmxIkTgp1lDAwMev4o6B8KhYLjjAI9RyAQ\npJ7FAuTW006ZQD46c5Qipved/3Uk2M2ePTs8PNzExETwxcXGxmbVqlUmJiZ//fVXXFzcggUL\npH5TFPzPlrqnP1YU/QtBoVBE/70RiUSdP3lCPtjhp3w+X/Tg1Pz8fJU1UPmW9uddx9I64UAs\nhcSbP7p+hl8DkYAkTnNVlJeXF+rrH5ssPv/8c0GqQwjV19cvX748KyvL3d2dQCDAXza8kEgk\nPp8Pf554ga+EOMLW6ol98QRyIxAIuvfFs/e/GzoS7CwsLKSeyBQREXHq1Ck2m11UVDR8+HDJ\nNxCJRBqNxmazsVl6YrAnvKJjS5MmTRI9xKKpqamxsRGH34DOMTIyMjQ0bGlpESRmlT175fEJ\n93Ltrmc6ckQG6txtW1eFMQaYdXYq4bm6m5sbLn8NeDzeH3/8IVZsaWk5efLkZ599RiaTsb+Q\nQHHW1tbd3d0sFkvdjegIc3NzFosFQQQXdDqdTqe3trbq2ClY6kKlUqlUKvZYT2eQSKReTqHU\n8V08qFSqtbU1+r9ntVI5OjoihOrq6sTqfD6/vr4eIaTnKycUp7IN6hBCNU2GP131jnsyUJDq\nKCTe/KDK7RH5A8w6cb8dvtvUtba2So1u2PoeWTQ0NGzZssXX19fDw2PRokVZWVl49QYAAEAr\n6MiIHZ/Pb2xsNDMzEzsuicfjNTc3o15PFRs0aFBJSUlBQUFAQIBoncFgdHZ2mpiY2NraKqlt\nnVdcXKyyc6x5fJRWYBP72LmrW/jjituA1qgwhp05/pEOKWH1KzaXgMlkitVdXV1l+XhnZ+e8\nefMKCgqwl0lJSY8fP75x44avry++fQIAANBYOjJi98EHH7z77rtJSUli9cTExM7OTiqVOnjw\n4J4+O3bsWOydYhHk7t27CKFx48b1tKIW9A5bJKEaDS20/Te8YlJdBamOTOLND6rcMTtfW1Id\nQohAIHz00UdiRTs7uyVLlsjy8ePHjwtSHYbNZn/++ee49QcAAEDj6UiwCwsLQwgdP378+fPn\nguLTp09PnDiBEIqIiKBSqVgxNjb22LFjoo+oRo0aNWjQoDdv3vz+++/d3d1YMTU1NT4+nkKh\nLFiwQHW/DV3BYDCKiopUcy8+H6Xk23x7aVhRrXBRy0DL9k/mvpo6ooZAwH/Sj1JPCfvggw82\nb94s+Os6dOjQ06dPy7jeUPQvf+9FAAAAukpHHsUuWrToxYsXubm5u3btsrGxsbKyqqurwx5p\nBQUFrVixQvDOlJQUBoNhbm7u5+eHVQgEwrZt2z7//PO7d+8+fvzYycmJyWTW1tYSCISNGzfa\n2dmp57eknVQ2lw7ztoV2Ktm1sEb4nJ1E5E8aVjsnoIpEVMo8bmVvPkwkEnfu3Pnvf/+7oKDA\n0tLS1dVVbHZBL6Su+5a6QSMAAABdpSPBjkql7t69++7du4mJiaWlpUwmk06n+/r6Tp48OSws\nrM9nqY6Ojr/99tuFCxeePn1aWFhoZGQ0ZsyYhQsXwh51/aLKVMfno9QCm0vpzp0c4aizo2XH\nqvASJyspC5xxoexUx+Vyk5OTS0pKHBwcxo8f399MNn369PPnz0sW8WsQAACApiPAAnVFNDU1\nCZ7e6jPJSEej0SgUSkdHhzIWT7xtoZ5JccuvFg7UEQn8ycNrZ/tXkUlaOVCHEKqqqlqxYkVe\nXh72cuDAgSdOnBg6dGhubm5LS8vIkSOdnJz63O5k8+bNZ8+eFbwcNGhQfHy8ubm5EvvWTtbW\n1hwOB7Y7wQtsd4IjbLuT5uZm2O4EF3q43QkEO4VAsOtplE55wS79tfW5NGc2R/iA0t6iY1U4\nw8VaWXu8qebs17lz5z58+FC0YmNjQ+wBK3sAACAASURBVCaTa2pqEEJkMnnDhg1ffPFFn8PP\n9+7du3v3bnt7+8iRI1esWKFj+63jBYIdviDY4QiCHb70MNjpyKNYoBYqnlHHaqfEpLrmlAvH\nn7CBugj/KopyBuqQqlJdSUmJWKpDCGHbKGK6u7sPHDhgZWW1YcOG3i81efLkyZMn498iAAAA\nbQDBDshDxZEOIZTFsDyb6tLOFv6NtTPvWBXOcLXR7oE6jGiG68WRI0f6DHYAAAD0GQQ70D+q\nj3QtHZSzqa7Py0QH6tA4z/pFo8upZGUd/6fKVIcQcnV1leW0zdra2u7ubjIZ/tkCAACQDr5D\ngH5Qy0BdTKpLm8hAnbUJOyqMMdi+RUl3VHGkw9ja2i5fvvz06dO9v83Ozg5SHQAAgF7ANwkg\nEzUM1HVSzqW6ZJcK54cSCCjEs35hcDmNoiMDdaL27NlDIpFOnz6NLTcZP358RkaG2DLY9evX\nq6k7LcBkMh8+fNja2urr6+vt7a3udgAAQD1gVaxC9GFVrHyRTsFVsZkllucfurR2/nOgLpwx\n2E5ZA3VIralOoLW1tbS01MHBwdLSMiEhYfPmzbW1tQghMpm8fv36Xbt2EYk6cloMvi5durRj\nxw7sYGiE0MKFCw8dOtTL6CasisUXrIrFEayKxZceroqFYKcQnQ92cg/UyR3s2rvIfz9yTi+y\nElSwgboFweUGujhQ17uOjo6cnJzm5mY/Pz9nZ+c+97HTT/n5+VOmTOns/MehwNu2bfv00097\n+ggEO3xBsMMRBDt86WGwg0exQDrVP3tFCD0rtYhJc2npoAgqViZdK0IZXg7NyrupxqY6hJCh\noWFwcDBCCLaj68WFCxfEUh1C6K+//uol2AEAgK6CYAekUH2qa+8iX3jo/OT1PwbqxnnWLwyu\nMKDgf3aFgCanOsUVFBR8++23T548oVAooaGhO3fuHDhwoLqbwp/UzWKYTCasIAYA6CH4qgf+\nQS0DdS8qzc6kuDa1UQUVU0PO8tDSEc5Nyrupbkc6hFBZWdmMGTNaWv43KzE2NjYtLS0xMdHS\n0lK9jeHOxcVFsjhw4EBIdQAAPQQTscH/MBgM1ae6Tg4pJtX10K0hoqnOz4351aI8SHUK2r17\ntyDVYWpqavbt26eufpQnKipKMq1u3bpVLc0AAIB6wU+0ACE1DdS9qjI7nezaKBLpzOicZSHK\nHahDOKU6JpNZX1/v5uZGpVL7freSpaWlJSUldXd3BwYGTp8+HTtP9vnz55LvzM7OVnl3Smdr\na3vmzJktW7YUFBQghOh0+tatW1esWKHuvgAAQA0g2Ok7tUQ6Nod0Md0ptcBGdBVdoMfbJWPL\n6TQlrjLGJdIxGIytW7empqYihAwMDD766KNt27apcReSzZs3nz17VvBy/PjxMTExFArFwMBA\n8s10Ol2FralOYGBgcnJyWVkZi8UaMmSIrv42AQCgTxDs9JdaIh1C6HWt8ekU9zqWcJmniQFn\n6biyUW6NSr0vLqmuvb19+fLlRUVF2MvOzs6ffvqJSqVu2rRJ8YvLITY2VjTVIYQSExP379+/\nY8eO6dOn5+fni71/2rRpKuxOpYhEoj48YQcAgN7BHDs9paaBOuKFRy6/3vAWTXV+bo27FuZp\nRapDCF25ckWQ6gT279+vrh2nrl69Klm8cuUKQmj79u1+fn6i9SlTpqxevVpFnQEAAFAHGLHT\nO+oaqCt5Yxyd7FbHEj4fpNO48wIrQr2k7FWBI3xHcUpKSiSLra2tb968cXJywvFGMhJbHiFa\npNFoN27cuHDhwpMnT0gkUlhY2Ny5c7HpdwAAAHQVBDs9oq5I180lXst0uJtrx+cLU8UwJ9by\nEIa5EUept8b92ZyVlZVkkUwmq2sPEW9vb2y2nygfHx/sP8hk8vLly5cvX67yvgAAAKgHPIrV\nF+pKdYw64z1xPndy7AWpzpDKXRZSunFaoVJTnZubmzJmXM2ePdvExESsOHfuXCMjI9zvJYvN\nmzdbW1uLVgwMDL744gu1NAMAAEDtINjpPrVsUIcQ4nQTLqU7/nzNq7ZJ+Ph16EDWlwvztOvx\nqyhHR8fff//d3NxcUAkODv7xxx+VdLs+DRgw4PLlyxMnTqRSqWQyOSAg4OLFi0OHDkUI8fn8\nO3fu7N279+TJk2VlZerqEAAAgCoR4NhmRTQ1NXV3K3F7DgWpa5QOIfSmxezkfefyemGkM6Bw\nFwRXhHjWK3uWlwqWRjKZzKSkpLq6Oh8fn3Hjxqlg4hqNRiOTyW1tbT29obu7m8fjCTbVa2lp\niYyMzMjIEHz8u+++i4qKUnaf2sLa2prD4bBYLHU3oiPMzc1ZLBZ8N8EFnU6n0+nNzc3qWpKl\nY6hUKpVKbW1tVXcjeCKRSBYWFj39Ksyx01nqSnVcHiEhz+7qU0cuTxh3vB2bV4QyLI2V+3VK\nZbtdWFpazp8/XzX3kpHY8VlffPGFINUhhNhs9ueffx4QEIAN5gH58Pl8WH0CANBw8ChWB6nr\n2StCqIpp+NPVoXFPBgpSHZXMmx9U+eH0Ap1JdZqPx+NdunRJrMhms+Pi4tTSjw64evVqWFiY\no6Ojj4/Pzp07m5ub1d0RAABIByN2OkWNz155fMK9XLtrmY7dXOGQhodta1RYyQAztrLvroGp\nrqqqqrKy0tnZ2d7eXsW37uzs7OzslKw3Nip3s0BddfHixfXr12P/XVdX98cff7x69So2NlaN\nx40AAEBPINjpDjWmuppGw+gkt7IG4cpQCom3YEzDhKGVfB5XqbfWwEhXX1+/efPmO3fuYC8j\nIiL27t2ryv1Q6HS6o6NjVVWVWN3T01NlPegMLpcruco4JSXl5s2bERERamkJAAB6AT9x6gI1\nPnvl8Ql3cuy/v+wjmurcB7T+Z0lRRMBbovavk+gvHo+3fv16QapDCF2/fv3f//63ituQzCLu\n7u7Lli1TcRs6oLa2tqGhQbKek5Oj+mYAAKBPMGKn3dQ4SocQqm+mnUp2f11rLKiQSbzZ/tVT\nhtcaGFARoij17hqY6hBCz549S05OFiveuXPn1atX3t7eKmtj0aJFnZ2d33//fV1dHZFInDBh\nwg8//KCuzfa0Gp1OJxCk7B4Af5gAAM0EwU6LqXVGHUorsIl97NzVLRz0dRvQFhVWYmcuZXYX\nvjQz0mHKy8ul1svKylQZ7BBCK1asWLFixZs3b0xNTQ0NDVV5a11iYWExduzYtLQ00SKNRps+\nfbq6WgIAgF5AsNNK6h2oa2ihnUp2K6oRHsBAIvJnjKyZOaqaQFD6RlaanOoQQra2tlLrdnZ2\nKu4E01M/QHYHDhyIiIioqakRVL766iuYsAgA0EwQ7LSMeiMdn49SC2wupjuzOcKBOkfL9nfD\nGQOt2lXQgIanOoRQYGDgsGHD8vLyRIsBAQEjRoxQV0tAQc7Ozo8ePYqJiXn16pWVldW8efME\np/ECAICmgWCnTdSb6t620k4luRbWmAoqJCJ/0rDa2f5VZJK+D9QJkMnk48ePv/feey9fvsQq\nvr6+x44dg60xtJqRkdHatWvV3QUAAPQNgp120ISBukvpzp3/GKjriAorcbaGgTpxHh4eCQkJ\nT548KS8vd3V1DQoKglQHAABANSDYaTr1RjqE0NsW6plUt/wq4UAdkcCfPFxFA3VI21Idhkwm\njx07duzYsepuBAAAgH6BYAd6k8WwPJvi0t4l/Htib9GxKpzhYt3jafQ40sZIBwAAAKgRBDsg\nXXMH5Wyqa06ZuaBCIPCnDK+N8K+iwEAdAAAAoJEg2AEpshiWZ1Nd2tnCvx42puyoMMYguxbV\nNACpDgAAAJADBDvwDy0dlLOpLs/LLAQVAgGFeNYvDC6nUXgqaAAiHQAAACA3CHZAKIthGZPq\n0iYyUGdlwl4VxhhsDwN1AAAAgBaAYAcQQqilk3IuzSWbIT5QtyC43ECDB+q6urpOnDiRkJDQ\n2to6atSoTZs2qeuABwAAAEATQLADKIthef6hS0uHyECdMXtlWKmnQ7NqGpAv1fF4vKVLlyYn\nJ2MvMzMzY2Nj79+/7+TkhGt3AAAAgNaAYKfX2tmkyxlOKfk2gsr/zairoFG4qulB7sev586d\nE6Q6TFNT06effnr27Fk8+gLa58WLFy9fvrS2tg4KCjIyMlJ3OwAAoAYQ7PRXXoXZ2VS3pjaK\noGJp3LUylOHlqNEDdQJpaWmSxdTU1D4/2NzcvG/fvuTkZA6H4+/vv2PHDgcHB0U6AWrX0dGx\nbt26+Ph47KW9vf3hw4dDQ0PV2xUAAKgeBDt91NFFinvyj4E6hJCfG3N5aBmd2q2aHpS0ToJA\nIPT+hs7OzlmzZuXn52MvX716dfPmzcTERHt7e2X0A1Tjyy+/FKQ6hFBNTc2aNWuSk5NtbW1l\nvMLdu3dPnTpVWVnp7u6+bt26oKAg5XQKAADKBUdY6p2XlWb/uThMNNWZGnI+mFK0dlKxdqW6\ncePGSRZDQkJ6/9Tvv/8uSHUYJpP59ddfK94PUBc2mx0TEyNWZDKZly9flvEKBw4cWLZs2a1b\nt/Ly8q5evTpr1qzY2Fi82wQAAFWAYKdHOjmkmFTXQ7eHNLVRBUU/N+ZXi/JGuDSppgc3Nze8\nxuqWLl0q9qzN3Nz8+++/7/1T6enpMhaBtmAymV1dXZL12tpaWT5eUVHx448/ihU//vjjtjZV\nnJsHAAD4gkex+uJVldnpZNdGkUhnashZHlKqskiH8H78SiQSz58/f+LEiXv37rW0tPj7+8uy\n3QmJRJJ6KRwbAypmZWVFp9Pb29vF6i4uLrJ8PCMjQzIXtrS0PH/+fOzYsfi0CAAAqgLBTvd1\ndRMvZwxMfGnLFzni1c+NuXRcmbGBip69IuVMqqNSqR988MEHH3wg+0fGjx9/9+5dseKECRNw\n7QuoFPbXYO/evaJFJyen+fPnK3LZPudrAgCABoJgp+MKa0xPJbu+baEJKiaG3UvHlo5ya1RZ\nDxp1nsR77713/fr1R48eCSouLi67du1SY0tAcdu3b29paTl58mR3dzdCaPjw4QcPHjQzM5Pl\ns0FBQVQqVWzQztTU1NfXVym9AgCAMhH4osM4oJ+ampqwbyTKw2Aw5PtgVzcx7snApFf/GKgb\n5da4dGypiaHSB+poNBqFQuno6HB2dlb2vfqLw+FER0cnJyd3dnYGBwevW7fO2NhY3U31gUaj\nkclkmPXVu8bGxoKCAmtra3d3994fr1tbW3M4HBaLhb08fPiw2AKaP/74Q8EBP71ibm7OYrHg\nuwku6HQ6nU5vbm6WOnMU9BeVSqVSqa2trepuBE8kEsnCwqKnX4VgpxCNDXYldcbRSW51LANB\nhU7jzgusCPWqx6+13mDBzsHBgcPhqOaOug2CHb7Egh1C6P79+6dPn66oqHB3d//Xv/4VEBCg\nxva0DgQ7HEGww5ceBjt4FKtrurnEa5kOd3Pt+HzhDCEfJ9aK0FJzuuq+TAwePNjQ0FD0GycA\nmmzixIkTJ05UdxcAAKAoCHY6hVFndCrZvbbpHwN1i8eUBw9qUGUbGjWpDgAAANAfEOx0BJdH\nuPXM4Ua2vehA3dCBrJWhpeZGKh3Ph1QHAAAAqAsEO11Q3mAUneRW3WgoqBhQuItGV4wdUq/K\nHRsg0gEAAADqBcFOu3F5hJvZDree2fNEBuq8HJtXhjIsjWGgDgAAANAvEOy0WHWjYXSSe3kD\nXVChknmz/KonD68hqnZrVUh1AAAAgCaAYKeVeHzCvVy765mOHK4wwbnbtq4KZwww7VRlJxDp\ngJJkZGQcPny4qKjIzs5u8eLFixcvhqMgAACgTxDstE9No2F0kltZg5GgQiXz5gZUjvd5AwN1\nQDfEx8dHRUVh/11YWJicnJybm/vtt9+qtysAANB8EOy0CZ9PuAsDdUDXcTicrVu3ihWPHTsW\nGRk5fPhwtbQEAADaAoKd1qhvpp1OdiuqNRFUyCTebP/qKcNrCQSVbvgOqQ4oVXFxcUODlJ0X\nHz9+DMEOAAB6B8FOC/D46EGe7ZWnAzlc4fGXrjZtq8IZduYdKm4GUh1Qtp6OeYU5dgAA0CcI\ndprubQvtVLJbYY1woI5E5E8aVjsnoIpEhIE60D9cLpdEIqm7iz54eHg4OjpWVVWJ1UNDQ9XS\nDwAAaBHpPxkDDRGfYbD70jDRVOds3f7ZvBfzgyoh1YF+efz48axZs5ydnT08PNauXVtZWanu\njnpEIpEOHDhApVJFix9//LGnp6e6WgIAAG0BI3YajcdHbM7/wjeRwJ88vHa2fxWZpNJIhyDV\nab/s7OxFixax2WyEUFdX1+XLl7Ozs+/fv29qaqru1qQLCwt78ODBkSNHCgsL7e3tlyxZMnny\nZHU3BQAAWgCCnUabGdh5P5P7otLMwaJjVTjD2bpNxQ1ApNMNX331FZbqBMrKyo4dO7Zjxw51\ntdSnIUOG7Nu3T91dAACAloFgp9EIBLQspPRRoc0032oYqANye/HihWQxNzdX9Z0AAABQKgh2\nmqurqys/P7/57dtJQ5vJJAMV3x1SnS4xMjJqbm4WKxobG6ulGQAAAMoDwU5D3bt3b9u2bdXV\n1aGhoRQKZdq0/9/evcY1ceVvAD9DbiThfhEvoEURVFRa1OIqRWq9A65KFUvVWoriVlj8uP0j\notZLa+uurV0rtdWKtupu7RaBslhdrQWLVipqAe8ioFBQUEDuhJDk/2J255MmgUJIMmF4vq/C\nmUnmlzCGxzPnnJn54osvmubQiHTcExQUdODAAY3G4OBgVooBAADjwaxYc1RYWPjGG29UVFTQ\nP8rl8oyMjCtXrpjg0Eh1nLRp0yYfHx/1loiIiDlz5rBVDwAAGAl67MzRwYMHm5ubNRozMzPH\njRtn1OMi1XGVRCI5depUamrq5cuXpVLp1KlT/f392S4KAAAMD8HOHOlcY6ympsZ4R0Sk4zw+\nn79w4cKFCxeyXQgAABgRLsWao/79+2s32traGulwSHUAAADcgGBnjpYtWyYSiTQajXTtDKkO\nAACAMxDszNGYMWM++ugjpouOz+dPmTJl0qRJhj2Ku7s7Uh0AAACXYIydmVq4cOG0adN++eWX\nhoYGNzc3e3t7w74+Ih0AAAD3INiZL3t7+6lTp5aUlBj8lZHqjOHhw4cpKSnl5eVDhw59+eWX\n7ezs2K4IAAD6HAS7vgWRzkjOnj37xhtvNDX992a+H3zwwddff62xdBwAAICxYYxdH4JUZyR1\ndXVvvvkmk+oIIdXV1StXrlQoFHq/Zmtr665du+bNmzd79uy33367urraEJUCAADHoceur0Cq\nM57z589rrzJYXFx87dq1Z599Vo8XbGtrCwkJycvLo3+8fPlyampqTk6OVCrtaa0AAMBp6LHj\nPsx+NbaGhoZutf+u/fv3M6mO9ujRow0bNuj3agAA0Hegx47jEOlMYNSoUdqNPB5vxIgR+r3g\nhQsXtBvPnTun36uxrq6u7vr160Kh0NvbWyKRsF0OAACXoceOy/psqrt582Z8fPyrr76akJBQ\nWFho7MONHTtW+1ZdMTExzs7Oxj60+fvss8/Gjh07b968OXPm+Pr6pqWlsV0RAACXoceOm/ps\npCOEpKSkxMTEtLW10T9++eWXBw4cmD17tlEP+uGHHw4aNOjw4cM1NTX9+/dftWpVVFSU3q/m\n7+///fffazQGBgb2qEQ2ZGRkbNq0ifmxuro6Ojra3d0d84UBAIyEUqlUbNfQi8lkMmMf4u7d\nu919iqenpzEq6RY+n8/j8eRyuVKpNOVxa2pqRowYUV9fr97o4OBw9+5dKysrExTQ3Nzc86uN\nbW1tU6dOvXz5MtMyYMCAK1euODg49PCVTSwwMDAnJ0ejMTw8/ODBg6zUwxCJREqlUi6Xs1sG\nZwiFQrlcjr8mBsHWlydXWVhYWFhYtLe3s12IgWnfd5SBHrseaWtr68mSFl08RNd3HjZsGCGk\npaXFaOV0laWlJY/Hk8lkJv7ndO7cOY1URwipqanJzs42TY8XRVEG+fz//e9/f/rpp1lZWS0t\nLRMnTnzrrbccHBzM4TfbLaWlpdqN9+/fZ/2N0MGO9TI4g8/nt7S0INgZBFtfnlwlEAjo85Pt\nQgzJwsICwc5YFAqFsf/tdf0/be7u7ubzRUB/xZvg89HQ2traUbv5fDhdwefzY2JiYmJi6B/p\nINK73gIhZMCAARUVFRqNAwcONIc3olKpzKEMbqA/TAQ7g6C/83vjv3fzZGFhwePxOPZh8ni8\nTrZi8gRH9OVBdep0Dt4SCAQY1MWKFStWaDdGRESYvhIAgD4Cwa7XwzJ16tzc3N566y2NxvXr\n12OCKitCQ0PXrVsnFArpH21sbD7++OMJEyawWxUAAIfhUmzvhkinLS4u7plnnjl06FBZWdmQ\nIUNWrFgxb948tovqu956661ly5bl5eUJBILnnnvOzs6O7YoAALgMwa4XQ6rTiaKosLCwsLAw\ntguB/+rXr9+MGTPYrgIAoE9AsOuVEOkAAABAG8bY9T5IdQAAAKATgl0vg1QHAAAAHcGl2F4D\nkQ4AAAA6hx673gGpDgAAAH4Xgl0vgFRnYiUlJa+//rqXl5eXl9frr79eVFRkmuPKZLLdu3cv\nWLBg1qxZGzZsePz4sWmOCwAAnEHhJjA98fTpU47dqMRQpFKpWCyuq6vrdfdZr6ysnDJlSnV1\nNdPi4OCQlZU1YMAAox63vb197ty5ubm5TIujo2NmZiZ9XJFIxOfzm5qajFpD3+Hk5CSXy+vq\n6tguhCPs7Ozq6urw18QgJBKJRCKpr6/v1o3CoSNCoVAoFDY2NrJdiCHxeDx7e/uOtqLHDuA3\n/vrXv6qnOkJITU3N+++/b+zjfvHFF+qpjhBSXV29ceNGYx8XAAC4BMEO4DcKCgq0G/Py8ox9\n3AsXLmg3nj9/3tjHBQAALkGwA/gNS0tL7UaJRGL6SgghFEWxclwAAOilEOwAfmPWrFldbDSs\nyZMnazc6ODhgHBgAAHQdgh3Ab6xatSogIEC9xd/ff/Xq1cY+7vLly59//nmNxsLCwpkzZ2LO\nBAAAdBGCHcBv8Pn8b7755rPPPlu6dOnSpUv37t17/PhxgUBgguOmpqZOmDBBo72oqOijjz4y\n9tEBAIAbcOcJAE0WFhahoaGhoaEmPm5Hc/J/+uknE1cCAAC9FHrsAMyIztkSmEIBAABdhB47\n6Cva2tqOHz9+7do1Ozu7WbNmjR07lu2KdAgICLh586ZG45QpU1gpBgAAeh3ceaJHcOeJjpjb\nnSdqamqCg4MLCwuZlg0bNqxZs4bFknRqaGiYNm1acXEx0+Lt7X3q1ClbW1vcecKAcOcJw8Kd\nJwwId54wrD545wn02EGfEBcXp57qCCHbt29/4YUXxo0bx1ZJOllbW589e/bTTz/NycmxsLDw\n9/ePiorSubQeAACANgQ74D6FQnHy5Ent9oyMDHMLdoQQKyur//u//2O7CgAA6JUweQK4r62t\nTedFDY51zgMAACDYAfeJxWJ3d3ft9tGjR5u+GAAAAONBsIM+4d1339VoGT169CuvvMJKMQAA\nAEaCYAd9wowZMw4fPjxy5Egej2djY7N48eKvv/5aKBSyXRcAAIAhYfIE9BWzZ8+ePXt2W1tb\n78pzLS0tt2/fpihqzJgxPB6P7XIAAMCsoccO+pbelerS09N9fX1nzJgxffr04cOHJyUlsV0R\nAACYNQQ7ADOVn5//5ptvPnnyhP6xoaEhPj7+1KlT7FYFAADmDMEOwEzt379fJpNpNCYmJrJS\nDAAA9AoIdgBmqqysrIuNAAAANEyeAHPR2tp6+vTp0tLSwYMHT58+XSwWs10Ry/r376/dOHDg\nQNNXAgAAvQWCHZiFmzdvLlmyhOmOcnV1PXLkSB9ZQLitra2wsFAmk3l5eUmlUqY9IiIiNTVV\nY+fIyEjTVgcAAL0JLsUC++Ry+YoVK9QvMv7666+RkZE67wPGMd9///3zzz8fGBg4c+bM0aNH\nHzhwgNk0ceLEDz74gIl6IpEoLi4uNDSUpUoBAKAXQI8dsO/q1at3797VaCwqKsrNzZ08eTIr\nJZnG3bt3IyIiWlpa6B8bGxvXr1/fv3//4OBguuW1114LCQm5evWqUqmcOHGijY0Ne8UCAEAv\ngGAH7KupqelWO2d8/vnnTKpj7N69mwl2hBAHB4dp06aJRCI+n9/U1GTaAgEAoJfBpVhg37Bh\nw3S2e3h4mLgSEystLe1iIwAAQFcg2AH7PD09FyxYoNH4xz/+ceTIkazUYzIuLi5dbAQAAOgK\nBDswlidPnpw+ffrEiRMPHz783Z0//PDD5cuX8/l8Qgifz1+2bNlHH31k/BpZtmzZMu3GiIgI\n01cCAADcQKlUKrZr6MWePn3a3t7OdhXm6F//+ld8fHxDQwMhRCgUxsTExMfH/+6z2traSktL\n3dzcRCKR8Ws0C0ePHt24cSMzeG7VqlXbtm2jKEpjN4yxMywnJye5XF5XV8d2IRxhZ2dXV1eH\nvyYGIZFIJBJJfX19X1gWwASEQqFQKGxsbGS7EEPi8Xj29vYdbUWw6xEEO50uXboUFBSk0ZiY\nmBgWFsZKPWauurr60qVLMpnsueeeGzJkiM59EOwMC8HOsBDsDAjBzrD6YLDDrFgwvEOHDmk3\nJiUlIdjp5OjoOHv27G49JTs7OzMzs7m52dfXd8GCBfQlbAAAAPw9AMN79OiRdmNFRYXpK+Gk\n+Pj4pKQk+nFSUtK+ffvS09PVb1kBAAB9FiZPgOG5urpqNw4ePNj0lXDPyZMnmVRHKygo2LZt\nG1v1AACAWUGwA8NbuXKlpaWlRmN0dDQrxXRRWVnZgQMH3n///dTUVLlcznY5HTpx4oR2Y0ZG\nhukrAQAAM4RLsWB4Y8aMOXjw4Nq1a+lrslZWVhs2bJgzZw7bdXXo+PHja9asaW1tpX/09PRM\nSUkxz/XkdM6fwKQKAACgoccOjGLevHnFxcU//PBDRkZGQUFBZGQk2xV1qLS0dO3atUyqI4Tc\nvXs3NjaWxZI6MWbMmC42AgBAipACjAAAHi9JREFUH4RgB8YiFot9fX39/Pysra3ZrqUzJ0+e\nbG5u1mj84YcfamtrWamncytWrNBYEkUkEm3dupWtegAAwKwg2EFf9/TpU+1GlUpVX19v+mJ+\nl7W1dVpa2vz5821tbYVCoZ+fX3Jysq+vL9t1AQCAWcAYO+jrvLy8tButra0HDBhg+mK6wtXV\ndf/+/YQQhULB4/HYLgcAAMwIeuygrwsKCtLu8UpISBAKhazU03VIdQAAoAHBDvo6gUBw5MiR\nBQsW0EnOycnpvffee+ONN9iuCwAAoNtwKRaA9OvXb9++fXK5/OnTp87OzmyXAwAAoCf02AH8\nl0AgQKoDAIBeDcEOAAAAgCMQ7AAAAAA4AsEOAAAAgCMQ7AAAAAA4AsEOAAAAgCMQ7AAAAAA4\nAsEOAAAAgCMQ7AAAAAA4AsEOAAAAgCMQ7AAAAAA4AsEOAAAAgCMQ7AAAAAA4AsEOAAAAgCMQ\n7MDcqVSq0tLSyspKtgsBAAAwdwh2YNbS0tLGjBkzbty40aNHBwQE/Pzzz2xXBAAAYL4Q7MB8\nZWdnr1ixgumru3Xr1iuvvPLgwQN2qwIAADBbCHZgvnbu3KnR0tDQ8Mknn7BSDAAAgPlDsAPz\nVVRU1MVGAAAAIAh2YM4cHR272AgAAAAEwQ7M2SuvvNLFRgAAACAIdmDOoqKiwsLCmB+FQmFC\nQsKLL77IYkkAAADmjM92AQAdsrCwSExMXLFiRW5urlAo9Pf3Hzp0KNtFAQAAmC8EOzB3Pj4+\nPj4+bFcBAADQC+BSLAAAAABHINgBAAAAcASCHQAAAABHINgBAAAAcASnJk+UlpampKQUFBTU\n1tYKhUI3N7cXXnghODiYx+N18iy5XB4aGtrR1tjY2JdeeskIxQIAAAAYGHeC3fnz53ft2tXe\n3i6RSNzd3evr6+/evXv37t2cnJxt27YJBIKOntjY2EgI4fF47u7u2lttbGyMWDQAAACA4XAk\n2D158mT37t3t7e0hISGvvfaaUCgkhOTn57/77rs3btw4ceLEvHnzOnpuU1MTIcTR0XHXrl2m\nqxgAAADA0Dgyxu7MmTMymczDwyMyMpJOdYQQHx+fkJAQQsjFixc7eW5zczMhRCKRmKBOAAAA\nAOPhSI+dl5fX4sWLhw0bRlGUeruHhwchpKamppPn0pdipVKpUSsEAAAAMDaOBDtfX19fX1/t\n9vr6ekKIg4NDJ8+lL8Wixw4AAAB6O44EO51UKtXZs2cJIYGBgZ3sRl+KlUqlRUVF586dq6io\nIIQMHDjQ39/f09PTJJUCAAAAGACXg11ycvKdO3cGDx48Y8aMTnaje+yuXr2alZWl3p6WljZz\n5sw333xT/fJuRUXFzZs3mR9Hjx6Na7g60UvMCAQCCwuOjONkF5/P5/F4IpGI7UK4w8LCAp+n\noVAUxQxuhh7i8/mEEIFAoDGyCPTDyS/Pzs8Nzga75OTko0eP2tjYbNy4sfN17Ogxdi0tLWFh\nYVOnTnV2dq6trf3uu+/S0tL+85//2Nvbh4eHMztfvnx527ZtzI9Hjx7t37+/8d5Fb4cL3IaF\nv50GxOPxrK2t2a6CO/BhGpZYLGa7BE7pZMmz3kipVHaylVKpVCYrxTQUCsWnn356+vRpBweH\nrVu3DhkypPP9a2tr6+vrra2tNYbipaSkfPHFFyKR6MiRI5aWlnTjvXv3Lly4wOwzbdo0Ozs7\ng78FDhAKhQKBoLW1VaFQsF0LF/D5fAsLi7a2NrYL4QipVKpQKFpbW9kuhCPEYnFrayv3/pqw\nAl+ehkX32MlkMrYLMSSKojrpN+FasGtqatqxY0d+fv6QIUM2bdrUr18/vV+qra1t0aJFSqVy\n+/btY8aM0bnP06dP29vb9T4Eh0mlUrFYXFdXJ5fL2a6FC0QiEZ/Pp4cNQM85OTnJ5fK6ujq2\nC+EIOzu7uro6jv01YYtEIpFIJPX19fiPnEEIhUKhUEhfmuMMHo9nb2/f0VZOXYptampKSEgo\nKSkZN25cXFxcD7uyhUKhk5NTVVUVx04IAAAA4CruBDuZTLZt27aSkpKpU6fGxMR0Pq5OnUql\nqq2ttbW11XiKUqmkV0vBXcUAAACgV+DOjMW9e/feunVr0qRJsbGxXU91hJA//elPy5cvP3fu\nnEZ7VlZWa2urUCgcPny4QSsFAAAAMAqOBLu8vLzMzEx7e/vY2NjOpwEnJyfv27fv6tWrTEtA\nQAAh5MCBA/n5+Uzj5cuXk5KSCCHBwcGYiggAAAC9AkcuxaakpBBClErlhg0bdO6QkJDg5ORE\nCMnOzi4pKbGzs2PuVPHyyy/fuHHj2rVrmzZtcnZ2dnR0rKqqou9C9vzzzy9ZssRUbwIAAACg\nRzgS7Oj5DXV1dR1Nc+tkbqZQKHznnXfOnDmTlZV1//79mpoaiUTi4+Mzbdq0gIAALBEJAAAA\nvQXXljsxMSx30hEsd2JYWO7EsLDciWFhuRMDwnInhtUHlzvhyBg7AAAAAECwAwAAAOAIBDsA\nAAAAjkCwAwAAAOAIBDsAAAAAjsCsWDCKzMzMixcvLlmyZPDgwWzXAvAbSqVyx44drq6uy5Yt\nY7sWAE0//vjj+fPnFy9ePHToULZrgV4JPXZgFDdu3EhJSXn8+DHbhQBoUqlUKSkpP/74I9uF\nAOhw+/btlJSUyspKtguB3grBDgAAAIAjEOwAAAAAOALBDgAAAIAjMHkCAAAAgCPQYwcAAADA\nEQh2AAAAAByBYAcAAADAEXy2C4BerLS0NCUlpaCgoLa2VigUurm5vfDCC8HBwTweT323qqqq\n5OTkX375pbq6WiwWDx8+fO7cub6+vmyVDX3QrVu34uPjVSrVunXrJk+erL4J5yew4uLFiydO\nnCguLm5vb3dxcQkICAgODhaLxer74OQEPfC2bNnCdg3QK50/f37z5s1FRUWEEPr2EqWlpb/8\n8sv169enTJnCZLt79+7FxcXdunWLz+d7eHhQFHX79u2srCxLS8uRI0ey+Qagz2hra9uyZUtD\nQwMhxN/fX/1uKDg/gRUHDx48cOBAVVWVq6uro6Mj/eV5+fLlF198kc//b4cLTk7QD3rsQB9P\nnjzZvXt3e3t7SEjIa6+9JhQKCSH5+fnvvvvujRs3Tpw4MW/ePEKIQqHYtWtXU1NTcHDwG2+8\nQae9/Pz8d95558svv/Tx8cE9c8AEjhw5UlFRYWNjU19fr96O8xNYkZ2dnZaW5uDgsGnTpmHD\nhhFCqqurN2/efP/+/dTU1FdeeYXg5IQewBg70MeZM2dkMpmHh0dkZCSd6gghPj4+ISEhhJCL\nFy/SLZcuXfr1118HDRq0YsUKpg/Px8dn/vz5SqUyLS2NleKhT7l9+3Z6erq3t/fo0aM1NuH8\nBFb84x//IISsWbOGTnWEEEdHx+jo6KCgIKY7GScn6A3BDvTh5eW1ePHisLAwiqLU2z08PAgh\nNTU19I85OTmEkClTpmjsFhgYSG9VKpWmKRj6pra2tt27dwsEgujoaO2tOD/B9AoLCysqKgYP\nHvzss8+qt48YMSIqKooZAIqTE/SGYAf68PX1DQ8P9/Pz02inL3U5ODjQP9Ij8Dw9PTV2GzRo\nkEQiaW1traioMH6x0HcdOXKkvLw8PDx80KBB2ltxfoLpXb9+nRDi4+PT+W44OUFvGGMHBqNS\nqc6ePUv+939KQsijR48IIc7Ozto7Ozs7P3jwoKKiwtXV1YQ1Qh9CX4T19PSkR3xqw/kJplda\nWkoIcXV1/fXXX48dO1ZQUNDY2Ojk5DRx4sSFCxdaW1vTu+HkBL0h2IHBJCcn37lzZ/DgwTNm\nzCCEKBSKtrY2QojGBH4a3djS0mLiIqGPoC/C8ni82NhYCwsdlyZwfgIramtrCSGVlZWHDh2S\nSqWenp7t7e03btxIS0vLycnZuXOnra0tTk7oCQQ7MIzk5OSjR4/a2Nhs3LiRHupLfzERQgQC\ngfb+dKNMJjNlkdB3HD16tLy8fOnSpW5ubjp3wPkJrGhtbSWEpKWlLVq0KCwsjP62rKysfPfd\ndx88eJCUlLR27VqcnNATGGMHPaVQKBITEw8fPmxvb799+/b+/fvT7SKRiH4gl8u1n0U3MvsA\nGNDt27e//fZbDw+PBQsWdLQPzk9gBd1/7O7uHh4ezkx3dXFxiYqKIoRkZ2e3tLTg5ISeQLCD\nHmlqatqyZcvp06eHDBnyt7/9bciQIcwmCwsL+qunublZ5xMJIVKp1GSlQh/BXIT985//rHET\nFHU4P4EVEomEEDJq1CiNdm9vb6FQqFAoHjx4gJMTegKXYkF/TU1NCQkJJSUl48aNi4uL0x4O\nMmjQoOLi4qqqKvW1/gkhKpXq8ePHhBAM/gWDO3v2bHl5uZOT07Fjx9Tb79y5QwhJS0vLzs72\n9vYOCQnB+Qmm5+LiQv53QVYdRVG2traPHz+mB8/h5AS9IdiBnmQy2bZt20pKSqZOnRoTE6Oz\na8TDw6O4uPjOnTvjx49Xby8pKWltbbW2tqa/4wAMiP6T+eTJkydPnmhvpeMdvao2zk8wveHD\nhxNCysrKNNoVCgW9AqitrS3ByQk9gEuxoKe9e/feunVr0qRJsbGxHV3wmjRpEiEkKytLoVCo\nt585c4YQMnnyZI21NwF6bv78+em60GfjunXr0tPT165dS3B+AhsmTJggEAhu375dXFys3n7p\n0iWFQiEWi+kBLTg5QW8IdqCPvLy8zMxMe3v72NjYTr5fnnvuOQ8Pj8rKyr1797a3t9ON58+f\nP3nypEAg6GRgO4AJ4PwE05NKpUFBQYSQnTt30ovVEUJKSkqSkpIIIbNnz6b/n4yTE/RGqVQq\ntmuA3uftt9/Oy8uztbXVuX4mISQhIcHJyYkQUl5enpCQUFtba21t7ebmV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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "### 4. 図を表示・保存する\n", "\n", "Google ColaboratoryやR、Rstudioでも最後に`g`とすることで図を表示させることが出来ました。\n", "\n", "これは`plot(g)`や`print(g)`を省略している形になります。\n", "\n", "```\n", "g <- ggplot(df, aes(x=列名, y=列名)) # データの指定\n", "g <- g + geom_point() # グラフの指定\n", "g # plot(g)やprint(g)でも可\n", "```\n", "複数の図を作図するプログラムや、プログラムの途中で図を表示させたい場合には、`print(g)`等と明示しておくと分かりやすいでしょう。\n" ], "metadata": { "id": "PDqO9Ge3n0oP" } }, { "cell_type": "markdown", "source": [ "また、作成した図を保存したい時には`ggsave`関数を使用します。\n", "\n", "`ggsave`関数を使用することで図の幅・高さや画質等を指定して図を保存することが出来ます。\n", "\n", "特に論文等に載せる図は、解像度`300dpi`以上が要求されることが多いです。\n", "\n", "`ggsave(filename = \"保存した時のファイル名\", plot = 図の変数, device = \"png\", dpi = 300)`\n", "\n", "他にも`width=5`, `height=5`の様な形で幅・高さを指定できます。\n", "\n", "```\n", "g <- ggplot(df, aes(x=列名, y=列名)) # データの指定\n", "g <- g + geom_point() # グラフの指定\n", "ggsave(filename = \"保存した時のファイル名\", plot = g, device = \"png\", dpi = 300) # 図の保存\n", "```" ], "metadata": { "id": "F7elGO-np8dF" } }, { "cell_type": "code", "source": [ "# 作成した図の保存\n", "g <- ggplot(df, aes(x=Height, y=Leaf_length))\n", "g <- g + geom_point()\n", "g <- g + geom_smooth(method = \"lm\")\n", "g <- g + labs(x=\"Plant height (cm)\", y=\"Leaf length (cm)\", title=\"Scatter plot of plant height & Leaf length\")\n", "g <- g + theme(text = element_text(size = 18))\n", "ggsave(filename = \"figure.png\", plot = g, device = \"png\", dpi = 300)" ], "metadata": { "id": "eaITl1gamzIk", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "be2166a9-0c77-4611-bdcf-da38db8f111f" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "\u001b[1m\u001b[22mSaving 6.67 x 6.67 in image\n", "\u001b[1m\u001b[22m`geom_smooth()` using formula = 'y ~ x'\n" ] } ] }, { "cell_type": "markdown", "source": [ "以上の様に、必要な要素をどんどん加えていく形で、\n", "\n", "基本的には 1. データを指定、2. グラフの指定(、3. ラベル等の調整、4. 図の保存)という流れで`ggplot2`ではグラフを作成します。" ], "metadata": { "id": "q5_w-bHnqZiV" } }, { "cell_type": "markdown", "source": [ "## 色を用いたデータの可視化\n", "\n", "### 散布図の色分け\n", "\n", "先ほど描いた散布図は黒い点で全ての観測値を表示していましたが、データの種類に応じて色分けすることも可能です。\n", "\n", "今回は花の色毎に点を色分けしてみます。\n", "\n", "データの色分けは、geometric objects(散布図だと`geom_point`)の引数で`aes(colour=XXX)`と指定します。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=列名, y=列名)) # データの指定\n", "g <- g + geom_point(aes(colour=色分けの基準とする列名)) # グラフの指定 & 色分けの指定\n", "```" ], "metadata": { "id": "RiSgTNwzUWeZ" } }, { "cell_type": "code", "source": [ "# データの色分け\n", "g <- ggplot(df, aes(x=Height, y=Leaf_length))\n", "g <- g + geom_point(aes(colour=Flower))\n", "g" ], "metadata": { "id": "mhXkgZakVgbt", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "88931606-bb7f-4408-b370-edbfd7d46bc0" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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MoWgh0AQLV7OW1zttgWu0YAKHMIdgAA1U6wO1tMINjlDqDyINgBAFSwmGG+ns4M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n0vAPjiU2FHEEROTk5OTk6gswEg0GRCLyuOYoRlooCv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ELFYdc61dohkxN5yqcd+UJVU9hSTCYPgR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\ndoibFFNBrGFh8pMAANAzUewQN8OLftpxOKJofvKTAADQM1HsEDeFqeMn9/u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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "こうすることで花の色毎に点が色付けされ、データの特徴がより分かりやすくなります。\n", "\n", "(※花の色と点の色が一致していないですが、`scale_colour_identity`等の関数を使用して色を決めることも出来ます。)" ], "metadata": { "id": "i4kdeiGRVy7t" } }, { "cell_type": "markdown", "source": [ "**回帰直線を描く**`geom_smooth`では、色分けを行うと各色毎に回帰直線を描いてくれます。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=列名, y=列名)) # データの指定\n", "g <- g + geom_point(aes=(colour=色分けの基準とする列名)) # グラフの指定 & 色分けの指定\n", "g <- g + geom_smooth(method = \"lm\", aes=(colour=色分けの基準とする列名)) # 回帰直線の追加 & 色分けの指定\n", "g <- g + labs(x=\"x軸ラベル名\", y=\"y軸ラベル名\", title=\"タイトル名\") # ラベルやタイトルの設定\n", "```\n", "\n" ], "metadata": { "id": "hJGpW6pbWxUZ" } }, { "cell_type": "code", "source": [ "# 回帰直線ごとに色分け\n", "g <- ggplot(df, aes(x=Height, y=Leaf_length))\n", "g <- g + geom_point(aes(colour=Flower))\n", "g <- g + geom_smooth(method = \"lm\", aes(colour=Flower))\n", "g" ], "metadata": { "id": "Nx7QaHEnXVHf", "colab": { "base_uri": "https://localhost:8080/", "height": 456 }, "outputId": "c2b7bc0c-66c9-4109-8607-d946d81aed1b" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "\u001b[1m\u001b[22m`geom_smooth()` using formula = 'y ~ x'\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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vPCwdd1REuec9U2ltsw4WVLJDBhVjC0ca8rPmm7hYdv1pRXayUG/JDqoOkQ7AAA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DqdxWIp0U/QsmG1WpPJJMyxm4PT6aSUwnzW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\nbZd2uPcEN519n+5pe+HGKa9ruMJIgX3KlRP+sLn+h86+nQZ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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "各花の色のデータ毎に回帰直線を描くことが出来ました。\n", "\n", "このように、各`geometric_objects`において、`aes`の中で`colour`や`hue`等を指定すると、データを色分けしたり分けてグラフを描いたりすることが出来ます。" ], "metadata": { "id": "IM88qfElZiwd" } }, { "cell_type": "markdown", "source": [ "## その他のグラフ" ], "metadata": { "id": "IDYez9MiXCc0" } }, { "cell_type": "markdown", "source": [ "### ヒストグラム\n", "\n", "1次元データの記述統計の所で扱ったヒストグラムも`ggplot2`で描くことが出来ます。\n", "\n", "草丈(Height)でヒストグラムを描いてみましょう。\n", "\n", "今回は草丈のデータしか用いないので、最初の`ggplot`関数でどのデータをx軸,y軸で使用するかを指定するところでは、x軸のデータのみ指定すればOKです。\n", "\n", "`g <- ggplot(データフレーム名, aes(x=列名))`\n", "\n", "そして、散布図(`geom_point`)からヒストグラム(`geom_histogram`)へgeometric objectsを変更します。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=可視化したい列名)) # データの指定\n", "g <- g + geom_histogram() # グラフの指定\n", "```\n" ], "metadata": { "id": "mcgKDQTIZwNH" } }, { "cell_type": "code", "source": [ "# ヒストグラムの描写\n", "g <- ggplot(df, aes(x=Height))\n", "g <- g + geom_histogram()\n", "g" ], "metadata": { "id": "2HRt5rOXazta", "colab": { "base_uri": "https://localhost:8080/", "height": 456 }, "outputId": "9194ed54-443a-49a0-d3c3-773f361e7d47" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value `binwidth`.\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "ヒストグラムでは、`geom_histogram`の引数で`colour=色`を指定することで、枠組みの色を付けたり、\n", "\n", "`binwidth=幅`でヒストグラムの幅の長さを指定することも出来ます。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=可視化したい列名)) # データの指定\n", "g <- g + geom_histogram(colour=\"色名\", binwidth=幅の長さ) # グラフの指定\n", "```" ], "metadata": { "id": "txuzAW6pbJkq" } }, { "cell_type": "code", "source": [ "# ヒストグラムの枠組みの色、幅の長さを調整\n", "g <- ggplot(df, aes(x=Height))\n", "g <- g + geom_histogram(colour=\"black\", binwidth=10)\n", "g" ], "metadata": { "id": "3Yg4vFWKbPsE", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "e8606084-b27f-462b-a80a-1fd96eb93fbb" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "ヒストグラムについても、先ほどの散布図と同様に、データを特定の指標で分けて複数のヒストグラムに色分けして描くことが可能です。\n", "\n", "`geom_histogram`の引数で`aes(fill=分ける指標の列名)`を指定することで、分割できます。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=可視化したい列名)) # データの指定\n", "g <- g + geom_histogram(aes(fill=分ける指標の列名)) # グラフの指定\n", "```\n" ], "metadata": { "id": "yn8X_QFTczUU" } }, { "cell_type": "code", "source": [ "# ヒストグラムをデータごとに色分け\n", "g <- ggplot(df, aes(x=Height))\n", "g <- g + geom_histogram(aes(fill=Flower), alpha=0.75)\n", "g" ], "metadata": { "id": "0uK_Y0yscLY_", "colab": { "base_uri": "https://localhost:8080/", "height": 456 }, "outputId": "de7711e4-5f48-4598-dfc7-e1c8e867c35e" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value `binwidth`.\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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c0333zzzTefccYZp5122n777dfQ0LBy5co5c+ZceeWVPXr0OPvss9t7SgCADqjp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\nnSgonTt33pM93Or7zZUnXTKZjOO4trY2VwZulLGBk8lkfX19KpW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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "追加で平均値のところに直線を引いたりも出来ます。\n", "\n", "縦に直線を引くには`geom_vline`を使用します。\n", "\n", "`geom_vline(xintercept=直線を引くx座標, color=\"色名\", linetype=\"線の種類\")`\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=可視化したい列名)) # データの指定\n", "g <- g + geom_histogram(aes(fill=分ける指標の列名)) # グラフの指定\n", "g <- g + geom_vline(xintercept=x座標, color=\"色名\", linetype=\"dashed\") # 垂直な線の追加\n", "```\n" ], "metadata": { "id": "x22I5xodcI_9" } }, { "cell_type": "code", "source": [ "# 平均値の場所に直線を引く\n", "g <- ggplot(df, aes(x=Height))\n", "g <- g + geom_histogram(colour=\"black\")\n", "g <- g + geom_vline(xintercept=mean(df$Height), color=\"red\", linetype=\"dashed\")\n", "g" ], "metadata": { "id": "Df_lp51FgNgg", "colab": { "base_uri": "https://localhost:8080/", "height": 456 }, "outputId": "e921df9b-17b0-4b16-ad26-c0f29c415338" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "\u001b[1m\u001b[22m`stat_bin()` using `bins = 30`. Pick better value `binwidth`.\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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ACREHYAIaV6e1Pbtye9vaGHADEQdgAh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\nrwAi4YwdAEAknLGL3P3333/BBRdUf5y+vr58Pl/9cYCa2Lx5c5I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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "### 棒グラフ\n", "\n", "ヒストグラムに似たグラフとして棒グラフもあります。\n", "\n", "棒グラフのgeometric objectsは`geom_bar`になります。\n", "\n", "今回は年齢(Age)の列のデータを棒グラフにしてみましょう。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=可視化したい列名)) # データの指定\n", "g <- g + geom_bar() # グラフの指定\n", "```\n" ], "metadata": { "id": "5Cmv4j1mge9o" } }, { "cell_type": "code", "source": [ "# 棒グラフを描写\n", "g <- ggplot(df, aes(x=Age))\n", "g <- g + geom_bar()\n", "g" ], "metadata": { "id": "lk5fzlgLg_Ni", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "d0a11b36-2f73-4c42-8fb4-d8999842a173" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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tsfW8zDSRee8QDLy+3LTDh08Vi/Z7HN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\nBJI0QCBJAwSSNED/H3RklPKmCTUuAAAAAElFTkSuQmCC" }, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "### ボックスプロット(箱ひげ図)\n", "\n", "データの代表値やばらつき具合を可視化するために良く用いられるのが、ボックスプロット(箱ひげ図)です。\n", "\n", "ボックスプロットのgeometric objectsは`geom_boxplot`になります。\n", "\n", "この際、`ggplot`関数によるデータの指定でy軸にデータを指定すると縦にボックスプロットが描写されます。\n", "\n", "(x軸にデータを指定すると、横向きになります)\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(y=可視化したい列名)) # データの指定\n", "g <- g + geom_boxplot() # グラフの指定\n", "```\n" ], "metadata": { "id": "9S47RbtBlu6k" } }, { "cell_type": "code", "source": [ "# boxplotの描写\n", "g <- ggplot(df, aes(y=Height))\n", "g <- g + geom_boxplot()\n", "g" ], "metadata": { "id": "IEM2GiWn7sqX", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "9b268aee-6298-40ad-ca51-8f40586e29fa" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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JhsI4R0x9Tm9y+G9IHvfN/wZYTEZBsh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\nykbSUgAAAABJRU5ErkJggg==" }, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "また、`ggplot`関数でx軸、y軸両方のデータを指定すると、例えば花の色毎にボックスプロットを描くことも出来ます。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=分類の基準となるデータの列名, y=可視化したい列名)) # データの指定\n", "g <- g + geom_boxplot() # グラフの指定\n", "```" ], "metadata": { "id": "hkkjyfgk9AtG" } }, { "cell_type": "code", "source": [ "# ボックスプロットを花の色ごとに分けて描写\n", "g <- ggplot(df, aes(x=Flower, y=Height))\n", "g <- g + geom_boxplot()\n", "g" ], "metadata": { "id": "WoyDHh6v85RH", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "60d11fe0-4fc0-4260-bc45-595e2da9ea26" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "また、`geom_boxplot`で引数に`aes(fill=色分けの基準となるデータ列名)`や`aes(colour=色分けの基準となるデータ列名)`と指定することで、色付けも可能です。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=分類の基準となるデータの列名, y=可視化したい列名)) # データの指定\n", "g <- g + geom_boxplot(aes(fill=色分けの基準とする列名)) # グラフの指定 & 色分けの設定\n", "```" ], "metadata": { "id": "eiTQTHcI9stZ" } }, { "cell_type": "code", "source": [ "# ボックスプロットの色分け\n", "g <- ggplot(df, aes(x=Flower, y=Height))\n", "g <- g + geom_boxplot(aes(fill=Flower))\n", "g" ], "metadata": { "id": "TlB7zmoZ9ZoI", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "1693a3b4-85df-4be7-f08a-ef376388f4d2" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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kdd8sTQz33Ubm/H1bt37+SN9PT0wsLCVatW1X1o6dKlURQVFhbuuv7y5cv3du7P\n0KCwS0tL+9nPfjZ+/Pj169dv2LBh586dHTp06NmzZ3p6enKFK664oonmAwD2NYWHbu588OY9\ne+zyV/bfsi6v4eufe+65EyZMiKIoMzOzqKiorm12U1PzLyfbZmf/y37BXV+9raqq2vWsg+RB\na+Xl5c1zpu0XeOeJRCLRpUuXLl26NN00ANBClJaWzpgxY9GiRVVVVQcffPAFF1yw3377xT3U\nvqL1fuX772nYrXm7wxdav02bNrvtfkvKzs5OJBI7duxI3l2xYkU9n+S9995L3tixY8eaNWt2\nPeW0b9++URQtXLjw2GOPTS5Zvnx5r169vtCQDVdf2B188MFjxowZP358/WdFvPvuu409FQDE\nqby8/Ec/+tG6deuSdz/88MP58+ffcccdycOk2BdkZmb27t17zpw5p556allZ2a9//et6Vv79\n739/+umn9+3b9xe/+EV1dfUZZ5xR96F+/fqdfPLJV1111UMPPdSlS5ff/OY348aNe++993Z7\ncbax1HdWbNu2bZP7D9vWqynGAoAYPfLII3VVl7Rly5Z77rknrnmIxR133PHkk0/26dNnxIgR\nl156afSPUyU+6bLLLvvhD3/Yrl273/3udzNnzuzYseOuH33ggQeKior69+/foUOHGTNmzJ49\nu4mqLqp/j91rr7222w0A2BcsXry4gQtJaW+88UY9Hx0+fHjy1Iekuuu+fTLvevbs+dJLL+26\nJCMjo279/fff/5FHHmmEcRvgCxxjt2PHjuLi4tWrVw8ZMqRjx45VVVXJa7cAQGA+9Q+cv3rN\npuzjrE0f7OH7vVaW79ObqaFf/P/8z/9MnDhx69atURS9+uqrHTt2nDBhwtq1a++++27/0AEI\nzNFHH/3JtwcYOHBgLMPsg1Yv7Lh6YcfPX49PaFCT3X333ePGjRs5cuTpp58+duzY5MKDDjro\n5ptv7tev349//OOmnBAAmtuoUaNeffXVRYsW1S3p3r37hRdeGONI+4iuXbvWf+XeRYsW/fWv\nfz3hhBPqv0zHbpcjaTq7vuTaEiQaMs2AAQOOO+64O++8c8eOHbm5ua+++mrylN2f/exnjz/+\n+JIlS5p+zqikpKQZniWF5OXl5eXllZaWVlRUxD0LeystLS0jI6O6urq6ujruWdhbiUSiQ4cO\nlZWVW7ZsiXsW9kp1dfXs2bMXL15cXV3dt2/fkSNHZmVlxT1US5GTk9O6devG/VPm/ZkAACAA\nSURBVJwN/EM/Y8aMGTNm3HDDDQ3cgbrbeQzBa9B7xS5duvTrX//6J5efeOKJ9V/WBWiIv/zl\nLyeffPKDDz4Y9yDAP6Wnp59xxhk33XTTrbfees4556g6UkKDwq6goKDuAn272rJlS/J6KAAA\nzSAjIyM7O/uz3h+CBoVd//79b7311vLy8l0X/u1vf5s0aVLdZZQBAJra6NGjn3zyySOPPDLu\nQVqoBp08cc011wwbNqx///5f/epXoyi6++67p02bNmvWrPLy8mnTpjXxhAAANEiD9tideOKJ\n//f//t/8/PwpU6ZEUXTPPffcd999Bx988DPPPDN48OAmnhAAgAZp6CXovvKVryxYsGDjxo1r\n166Noqh79+7t2rVrysEAAPhivti1hTt16tSpU6cmGgUAgL1RX9gNGzasIZ/i2WefbaRhAADq\ns3bt2rVr1x544IEFBQVxz9IS1Rd2u72dbW1tbUVFRWZmZlpag47MAwBoXM8999wXukDxvqa+\nRNvxr5LvMPHoo4/utry5RgUAoD72vQEABOKLnTwBANB03nrrrV/96lf1rLB169YoiiZPnpyd\nnV3PapMnT87Pz2/k4VKBsAMAWory8vI1a9bUZGbWZmZ+5kp5eRvKyqKysk/9YNrOnYnq6pqa\nmqYasWUTdgBAy7J+2Ih1XxmxZ4/tc8/0Nov/2rjz1G/lypU9e/YsLi4+7LDDmvN5P5Vj7ACA\nfdTAgQMTu9hvv/1OPfXU+fPnxz3Xnqtvj91rr722691169ZFUbR06dLdlh977LFNMRkAQFO7\n6KKLfv7znydvr1u37tZbbx02bNjbb7/ds2fPeAfbM/WF3aBBgz658Oqrr95tSW1tbWNOBADQ\nXFq1alVUVJS8XVRU9MADD7Rr1+5Pf/rTZZddFkXR+vXrr7jiinnz5m3ZsmXgwIG33XbbUUcd\nFUXRwoULL7nkkkWLFvXu3Xv8+PFxfgH/qr6wmzBhQrPNAQAQu7S0tPT09IqKiuTdUaNG9ejR\no7i4OC8v78YbbzzttNNWrlyZnZ199tlnn3DCCc8999ymTZvGjBkT78y7qi/srr/++uYaAwDg\n79otXJCzbt2ePTZ39ao9ft6tW7dOmjSpvLx81KhRURQtWLBg/vz5s2bN6tChQxRFkyZNmjp1\n6lNPPdWtW7eVK1fOmTOnVatWrVq1+tGPfjR37tw9ftLG5axYAKBlyV23LndPw+6Lmj59+r33\n3pu8vX379v79+//hD39IHmC3dOnSKIoKCwt3XX/58uVRFCUSie7duyeX9O3bt3lGbQhhl6re\nfvvtJUuWDBo0qH379nHPAgCNaeOJJ288bsiePbb7Yw/lv7e04eufe+65yWPPSktLhw0bdskl\nl4wY8fcrreTm5kZRVF5enpOTs+tD7r///iiKEolE8m5VVdWejdoUhF2qevPNN3/3u9917dpV\n2AEQmKrc3J17+tetpp4rG3+aNm3a9OnTJ3n7V7/61cUXX3ziiSf269cv+seuuIULF9ZdAGT5\n8uW9evUqKiqqra394IMPkjv23nnnnT0btSm4jh0AQBRF0fnnn3/aaaedd955O3fujKKoX79+\nJ5988lVXXfXhhx9WVlbeeeedhx9++Nq1awcNGtShQ4eJEydu3rx56dKlU6dOjXvwfxJ2AAB/\nN23atPXr19dd3O2BBx4oKirq379/hw4dZsyYMXv27MLCwtzc3P/93/8tLi4uLCw855xzrrnm\nmiiKWsibmHkpFgDYR73xxhu7Ldlvv/02bNhQd3f//fd/5JFHPvnAY4455s0336y723Ku6Svs\nAICWpfWK5Z3nPrdnj83etKlxh0ktwg4AaFkK3n2n4N0WdEZCChF2AEBLceCBB1577bX1rDBv\n3rx58+add955vXv3rme1vLy8xh4tNQg7AKClaN++/fHHH1/PCitXroyi6NBDDx04cGAzzZRS\nnBULABAIYQcApIxOnToddthh+fn5cQ/SQnkpFgBIGSNGjKh7yy8+yR47AIBACDsAgEAIOwCA\nQDRr2M2ZM2fkyJGvvfZa8u62bdt++ctfXnTRRd/+9rcnTZq0cePG5hwGACAwzRd2H3/88X33\n3ZeVlVW3ZPLkyRs3bpwwYcItt9ySl5c3adKkFvIGugBAy7Ro0aKHH354/fr1cQ/SQjVf2E2b\nNu3EE0+suxJ0SUnJ66+/fvHFF/fs2bOwsHDs2LFr1qwpLi5utnkAgJSzcOHCe++9d/Xq1XEP\n0kI10+VOXn311WXLll1xxRVz585NLnnvvfcyMzN79uyZvNu6deuioqIlS5YMGDAguWTVqlXb\ntm1L3s7KyurQoUPzjJoqEolEFEVpaWkZGa5Zk/KSWzORSNiaAbA1g2Rr7ib575wWqDn+pW7b\ntm3atGn/8R//kZOTU7ewtLQ0Pz9/138Zbdq02bJlS93dW2+99eWXX07ePuCAA2bOnNkMo6aQ\n5G+ZnJyctm3bxj0Leys3NzeKooyMDFszGLZmYGzN3VRWVjbRZ66pqdm5c2c9K1RVVUVRVFFR\nUV5eXs9qOTk5+2Z9NkfY/fa3vz3qqKOOOOKI3ZbX/x0/7rjjOnfunLzdrl27HTt2NNV8qSl5\nPGJVVZXvTACSv6dqampszTDk5OTU1NRUVFTEPQiNIDs7O5FI+Nn8pMzMzKb4tH/+85+vv/76\nz11t0qRJ9a/wyCOPtGnTpnFmSilNHnYLFy5csGDBr3/9692Wt23btrS0tLa2ti7vtmzZ0q5d\nu7oVzj333F3XLykpaepRU0t1dXUURRUVFXUvWJO6kgVQXV1tawYgkUjk5OTYmsHIzMxMS0uz\nNXez60twTaFjXlGH3MI9e+yarUu3VXzcuPOkkCYPu2eeeWb79u1jx45N3t22bdttt912xBFH\nXHLJJZWVlcuWLevTp08URaWlpatWrTrkkEOaeh4AoIUbVDTylN7f3bPHTnvzPxZtfLFx50mq\nqqrKzMycPXv2sGHDkjdOPfXUpniivdHkZ8WOHTt22rRpU/6hoKDg+9///mWXXda+fftBgwZN\nnTp1xYoVa9asue2223r37t2vX7+mngcAIIqihx9+ODs7e9GiRbsuvP/++3NychYvXhzXVHup\nyffY5efn5+fn191NJBL5+fkFBQVRFF1++eXTp0+//vrrq6urDz300GuvvXbfPM4RAGh+o0eP\nfvTRR7///e+/8soraWlpURR99NFHV1555cSJE1N3T1Nzv6XY/ffff+yxxyZv5+XlXXHFFffd\nd9+MGTPGjx+/6wF2AABN7c4773zvvfemTJmSvPujH/2od+/e48aNW79+/ejRowsLC1u1ajV0\n6NAFCxZ81mfYsGHDeeedV1hYmJeXN3jw4OQFPbp3737//fcnV7jmmmsSicQHH3yQvDt06NAb\nb7yx6b4i7xULAOyjOnfuPGXKlGuvvXbFihVPP/30zJkzf/e736Wnp48aNSqKouLi4pKSkiFD\nhpx22mmfdXWVs846a/PmzQsXLiwpKTn22GNPP/30kpKS4cOHz5s3L7nCc889169fv+TdHTt2\nzJ8//5RTTmm6r8gVFwGAluX5lQ/OX/PHPXvslp0ffaH1zz///EcfffR73/ve8uXLky/CLliw\nYP78+bNmzUq+OcKkSZOmTp361FNPff3rX9/tsX/5y1/mz5+/ePHiTp06RVF0ww033HXXXbNn\nzx4+fPh1110XRdG2bduKi4tvuOGGF1544YILLnjllVfy8/OPOuqoPfvSGkLYAQAtS0V1eU3t\nHr59fFXNF7548rRp0/r169e3b99x48ZFUbR06dIoigoL/+V6K8uXL//kA5ctW5aWlnbwwQcn\n7+bm5nbv3n3lypWXXnrpt771rfXr1y9YsODII48cNmzY1KlToyh6/vnnhw8fnjyer4kIOwCg\nZTml9/ea83InhYWFffr0GTx4cHp6evSPdwMqLy/f7XJ9yYvJ1y95cfIOHToceeSRL7744vz5\n80888cRDDz108+bNa9eunTt37ve///0vNNsX5Rg7AIB/6tu3bxRFCxcurFvyqbvrkmvW1NTU\nXRtl+/btH3zwQfLhI0aMmDdv3ty5c0888cREIjF48OCnn376z3/+84gRI5p0eGEHAPBP/fr1\nO/nkk6+66qoPP/ywsrLyzjvvPPzww9euXfvJNQcMGHDcccf9+Mc/3rRp07Zt237yk5/k5+cn\nT7wYPnz4M888s3jx4uOOOy6KoiFDhtx2220HH3xwly5dmnR4YQcA8C8eeOCBoqKi/v37d+jQ\nYcaMGbNnz97tkLs6Dz30UFZWVr9+/Xr27Lly5coXX3wxebHewYMHr169+uijj06+sDtkyJBF\nixY19e66yDF2AABvvPHGrnf333//Rx55ZLd1MjIyamtrk7frbhxwwAFPPPHEJz9hVlbWrm8x\nfMwxx9Q9pEkJOwCgZVmw7pm1W9/fs8euKn23cYdJLcIOAGhZ1mx9b83W9+KeIiUJOwCgpTjq\nqKPuu+++elaYNWvWE088cdVVV/Xv37+e1XZ9n/p9irADAFqKrKyszp0717NC69atoyhq165d\n/avts5wVCwAQCGEHAKSMQw455Oyzz7a77rN4KRYASBlHH3300UcfHfcULZc9dgAAgbDHDgCI\nX8eOHeMeIQT22AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC\n2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAE\nQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABCIj7gFakKVLl/7hD3+I\ne4qGWrFiRRRFjz322Jw5c+KepaEuvvji/Pz8uKcAgGAJu39av379M888E/cUX8ybb74Z9whf\nwIUXXijsAKDpCLvdnd+96+ldOsU9RWimvLdi/qaP454CAAIn7HbXLiuze6vcuKcITV56etwj\nAED4nDwBABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAI\nYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQCGEHABAIYQcAEAhhBwAQiIy4B4Am8fHHH0+YMCHu\nKRqqrKwsiqI//OEPr7zyStyzNNRFF1105JFHxj0FAP9C2BGmysrKJUuWxD3FF1NSUlJSUhL3\nFA21devWuEcAYHfCjpDtf/DmI7++PO4pQrNyfud3ni2KewoAPoVj7AAAAiHsAAACIewAAAIh\n7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAAC\nIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAA\nAiHsAAACkRH3AC3OPStWPfTh2rinCM3Wyqq4RwCA8Am73W2vqt5eVR33FAAAX5iXYgEAAmGP\n3e765rc6IC837ilCU7xl68YdO+OeAgACJ+x2d+r++40+oDDuKUJzbfESYQcATc1LsQAAgRB2\nAACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIEQdgAAgRB2AACBEHYAAIHI\niHuAhmrVqlVTP0V2dnZTP8U+Li8vrxm2Y9L27dujKPrbh/nzf39Q8zzjvmPH1qwoirKzs5tt\na6ai9PR0358wJBKJRCJha+4mkUjEPQKfLmXCrqqqqqmforq6uqmfYh9XVVXVDNux7rmiKKoo\ny/jbh62b5xn3NdXV1c22NVNL8g9eTU2N708YsrOza2trbc3dpKenxz0Cny5lwm7nzp1N/RR+\nbptaRUVFM2zHuudqnifaZ1VVVTXb1kwtiUSidevWtbW1vj9hyMvLSyQStuZucnJy4h6BT5cy\nYQd7IDOnOretX8eNrGJ75o6tmXFPAcCnEHaErEOP0iO/vjzuKUKzcn7nd54tinsKAD6Fs2IB\nAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAAIh7AAAAiHsAAACIewAAALhLcV298qm\nzZsrKuOeIjTLtpXFPQIAhE/Y7e7Nv215829b4p4CAOALE3b/NGDAgJtvvjnuKRrq+eefnz17\n9sUXX9ynT5+4Z2motm3bxj0CAIRM2P1TmzZt+vfvH/cUDfXOO+9EUdSrV68UmhkAaFJOngAA\nCISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLAD\nAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISw\nAwAIhLADAAiEsAMACERG3ANAE6qpSVTu8I+8kVVX+R9CgBbK3zxCtnFp22f/p23cUwBAMxF2\nhCk7O3vgwIFxT9FQW7duXbJkSdeuXbt06RL3LA3Vvn37uEcAYHfCjjAVFBTccMMNcU/RUG+9\n9dbVV189YsSIc889N+5ZAEhhjpUBAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiE\nsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAI\nhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMA\nCISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLAD\nAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISw\nAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiE\nsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACERGMzzH3/72t3vuueett96qqKjo\n1avXd77znQMPPDCKom3btk2fPv3tt9+urKw86KCDxo4d26lTp2aYBwAgSM2xx+6GG24oKSmZ\nOHHi5MmTO3bsOGnSpB07dkRRNHny5I0bN06YMOGWW27Jy8ubNGlSTU1NM8wDABCkJg+7rVu3\n7rfffpdddlmvXr26dOly4YUXlpaWrlq1qqSk5PXXX7/44ot79uxZWFg4duzYNWvWFBcXN/U8\nAAChavKwy8/PHz9+fLdu3ZJ3N23alJaW1rFjx/feey8zM7Nnz57J5a1bty4qKlqyZElTzwMA\nEKrmOMauztatW2+//fZRo0a1a9eutLQ0Pz8/kUjUfbRNmzZbtmypu3vrrbe+9dZbydudO3f+\n7//+7+YcteXLyMiIoignJ6dt27Zxz8LeysnJiaIoIyPD1gyGrRmMtLS0RCJha+7GoVMtVvOF\n3erVq3/+858fccQRY8aMSS7Zteo+adOmTWvWrKm7m56e3rTzpaZEIuE7E4C6nwVbMxh+NoOR\n/PG0NXdTW1sb9wh8umYKu7feeuvmm28+77zzzjjjjOSStm3blpaW1tbW1v1J27JlS7t27eoe\nctNNN+36GUpKSppn1FRRVVUVRVF5efmmTZvinoW9VV5eHkVRVVWVrRmARCLRoUOHysrKXV+C\nIHW1a9cuLS3Nz+ZucnJyMjMz456CT9EcZ8UuXrz4F7/4xZVXXllXdVEU9e3bt7KyctmyZcm7\nyTMqDjnkkGaYBwAgSE0edhUVFZMnTx45cmT37t1L/mHHjh3t27cfNGjQ1KlTV6xYsWbNmttu\nu6137979+vVr6nkAAELV5C/FvvPOO+vXr3/wwQcffPDBuoWXXHLJV7/61csvv3z69OnXX399\ndXX1oYceeu2119Z/1B0AAPVo8rAbMGDAU0899akfysvLu+KKK5p6AACAfYT3igUACISwAwAI\nhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwAwAIhLADAAiEsAMACISwS1U9evQYNmxYhw4d\n4h4EAGgpmvy9YmkiJ5100le/+tXS0tKKioq4ZwEAWgRhB/Hr1q3bv//7vx900EFxDwJAahN2\nEL/9999/zJgxZWVlZWVlcc8CQApzjB0AQCCEHQBAIIQdAEAghB0AQCCEHQBAIIQdAEAghB0A\nQCCEHQBAIIQdAEAghB0AQCCEHQBAIIQdAEAghB0AQCCEHQBAIIQdAEAghB0AQCCEHQBAIIQd\nAEAghB0AQCCEHQBAIIQdAEAghB0AQCCEHQBAIIQdAEAghB0AQCCEHQBAIIQdAEAghB0AQCCE\nHQBAIIQdAEAgMuIegC+strZ27ty5c+bM+dvf/ta1a9ezzz67X79+cQ8FAMRP2KWee+6557HH\nHkveXr58+YsvvnjdddcNHjw43qkAgNh5KTbFrFy5sq7q6kyZMqWysjKWeQCAlkPYpZhFixZ9\ncmFpaemqVauafxgAoEURdikmLe3TN1kikWjmSQCAlkbYpZjDDz/8kwvbt29/wAEHNP8wAECL\nIuxSTLdu3S644IJdl2RmZl511VXp6elxjQQAtBDOik093/72tw888MDnnntu06ZNXbt2Peus\ns3r06BH3UABA/IRdSvrSl740dOjQvLy80tLSioqKuMcBAFoEL8UCAARC2AEABELYAQAEQtgB\nAATCyRMQsyVLlsycOXPdunXt27f/yle+MmTIkLgnAiBVCTuI0yuvvDJp0qS6u6+99tro0aMv\nuuii+CYCIIV5KRZiU1lZOWXKlN0WPvzwwx988EEs8wCQ6oQdxGbVqlVbtmz55PLi4uLmHwaA\nAAg7aHESiUTcIwCQkoQdxOaAAw5o27btJ5f379+/+YcBIADCDmKTkZFx5ZVX7rbw/PPP79at\nWyzzAJDqnBULcfryl798xx13zJo1a+3atR07djzppJOOPfbYuIcCIFUJO4hZr169xo8fX1BQ\nUFZWVlZWFvc4AKQwL8UCAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELY\nAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC\n2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAEQtgBAARC2AEABELYAQAE\nIlFbWxv3DOyJefPmvfTSS6NHj+7Vq1fcs7C3li9f/vDDDx9//PEnnHBC3LOwtyoqKm699dae\nPXued955cc9CI5g+fXppaem4cePiHgQaxB67VPXuu+/OnDlz/fr1cQ9CI9iwYcPMmTPffffd\nuAehEVRWVs6cOfPll1+OexAax7PPPvvUU0/FPQU0lLADAAiEsAMACISwAwAIhJMnAAACYY8d\nAEAghB0AQCCEXYqprq4eOXLkggUL4h6E5mbTh2Tjxo0jR4784IMP4h6Ez1T3E+dHj9SSEfcA\nfIorr7zy/fffT97Oy8vr2rXrmWeeeeKJJ8Y6FA2y67ZLT0/v3LnzkCFDvvGNb2RlZcU7GI1l\n100cRVFBQUGfPn2+9a1vHXjggTFOxed68cUXb7vttttuu6179+51C5977rmpU6dOnjy5W7du\nMc4GjUjYtVBf+cpXvv3tb0dRVFZW9txzz/3yl78sKirq06dP3HPx+eq2XWVl5XvvvXfXXXeV\nlZX94Ac/iHsuGk3dJo6iaPPmzbNmzbr22mtvv/32zp07xzsY9RgyZMhLL710++2333LLLYlE\nIoqiLVu2/Pa3v/3Wt76l6giJl2JbqJycnI4dO3bs2PGAAw644IILEonEhx9+uOsKO3bsGDly\nZHFx8f9v7+5j2qreOIA/LSu1zCIjbaUMGFp0bWBSZtRNaJk6YIGtjoURp0ZUcHHNiMY6Z424\nmjiDYzFuGhRxjIyxxUXJdC90SxgM/+h8my8wHSTdmAJlpRtzL6wU2vv748Sb/jbKajIK676f\nv+4599zLOXly4eGcc1tWdDgcBoPB4XAQ0dDQUFVVVUlJycqVK81ms91un4IB3Mb42CmVSr1e\nX1hY2N7eToFD5vP5DAbD4cOHy8rKtmzZ4vF4DAbDoUOHzGZzWVlZaWnp999/f82PQIinFh9i\nmUx23333mUwmIvrpp5/Y2UDROXXq1Ouvv75y5cry8nJ8y8iUWLNmjcPh4L9Gora2VqlUFhYW\nBv9AXbhwgbUsKip64403/vzzTyIqLS09cuQIa9DQ0GAwGJxOJyuazeY9e/ZM8rAA/g8Su+lu\ndHT04MGDM2fO1Gq1QV6yceNGIvrkk08aGxtTU1MtFovH45nMPsJExGKx1+udoIFQKBQKhVar\n1Ww2r169OiIigoiam5vXr1//xRdfrFq1qrKy8p9//vG/BCGeVlgEx8bGWHHc6HAc9/777yck\nJDQ0NLzzzjuHDh2a0i7fpmJiYl566aWdO3eePXv2+PHjNpvtlVdeEQqFwT9Q77333pUrV7Zu\n3drY2KhWq999992LFy9qtdoTJ06wBr///ntiYiIrejye7u7u+fPnh2yAAITEbtqyWq3FxcXF\nxcVFRUVffvnlq6++GhsbG8yFdru9u7u7rKxMKpVGRkY+88wzY2Nj10/5QAhwHNfT07Nv375H\nHnnkho0XLFigUqkkEgkrPv744zExMexALBb/8MMPfEuEeFq5evVqfX29x+NZsGABBY5OV1eX\n0+l86qmn7rjjDrlcvmzZsqnu+G1q0aJF6enpW7dura6uZouwwT9Qp06d6u7uLi0tveuuu8Ri\n8bPPPuvz+X7++Wc+sXO73WfOnMnLy+vs7CSikydPSiQSlUoV6kHC7Q177KYpnU63atUqIhoZ\nGenq6vroo4+ee+65JUuW3PDC/v5+IiopKfGvPHv27CT1E65ntVpbWlqIiE3h6HS6YDbYKZVK\n/2JcXBw7EAqFsbGxLpeLP4UQTzk+xETkdruTk5MrKirYBrsJoiMQCBQKh1PLUQAAB7xJREFU\nBauJj48PaY/Bj9FoNBqN8fHxhYWF9F8eKIfDIRAIEhISWDEyMlIulzudzvz8/M2bNw8NDdnt\n9nvvvTc9Pf3AgQNE1NHRodVq2X4+gJBBYjdNzZw5k/9Ln5ycfPHixV27dk2Q2Pl8PnbA3r78\n6quv8BrmVOGT8oiICJlMJhSOPy/Oh4wRiUT+Rf/VW6/X6/+3ASGecnyIh4eHKyoqlixZkpGR\nwU4Fig7bg8XHceLVeZhUsbGx8fHxGo2GPZuBQhZMjDiOGxsbk0qlKpXqjz/+6OrqmjdvXlJS\n0uXLl8+fP9/R0ZGbmztJowAIBEuxtwafzzc8POxfIxKJBALB6OgoK/L/X7KZgNOnT/MtBwYG\nQtVNIPo3KVcqlQqFwj+rCxSycbFZBCLyeDznzp2Ty+X8KYR4yvEhVqlUq1evrqur+/vvv9mp\nQNGRyWQcx/F76nt7e0Peaxhf8A9UfHw8x3F8rN1ut9PpZP+Ba7Xazs7Ozs7OtLQ0gUCg0WiO\nHz/e3d3NZ/wAIYPEbppyu90ul8vlcg0MDNhstn379i1evNi/QURERFxc3G+//UZEIyMjbOaf\niBITEx944IFt27YNDg56vd7m5uby8vLz589PwRjg/wUK2bhaW1vPnDnj8Xi+/vprn8/30EMP\n8acQ4mll0aJFDz74YFVVFUvZA0VHrVZLpdLdu3dfvny5r69v4uhDKAX/QN1zzz1qtXr79u2X\nLl1yu9319fUSiYTtrczIyPj111//+usvjUZDRKmpqd98801CQsKsWbNCPR647WEpdppqaWlh\nm3hmzJghl8sLCgqKi4uvabNmzZrPPvvMZrPNmjWruLj4xx9/ZGsHJpOptra2vLyc47g5c+ZY\nLJYgX7yAyRYoZNcrKCiorq622+0xMTFvvfVWdHS0f0uEeFoxGo1r166tr69nmykDRWfDhg2f\nfvrp888/r1QqX3jhBYvFwnHcVPcdiAKEbNxnc926dZ9//rnRaOQ47v7776+srIyKiiIijUZz\n7ty5lJQUtp6bmpq6fft2tocPIMQE+M0CMK14vd7CwkKLxYJPSQAAgP8KS7EAAAAAYQKJHQAA\nAECYwFIsAAAAQJjAjB0AAABAmEBiBwAAABAmkNgBAAAAhAkkdgAAAABhAokdANyAxWIRBFBZ\nWUlEWVlZarV6qrsJAAD45gkACI7JZEpOTr6m8tFHH52KvgAAwPiQ2AFAUIqKitjXYgIAwLSF\npVgAuMmam5v1er1UKpVIJGlpaR9++CH7vMzZs2evWLGCb9bQ0CAQCNj3qzIff/yxQCCw2+1E\ndPTo0ZycnOjo6KioqPnz59fV1fHNsrKy9Hr9/v37ExMTMWUIAOAPM3YAcDPt3bt3xYoVeXl5\nO3fuvPPOOw8ePGgymQYGBjZt2pSTk3PgwAGO4wQCARG1trbKZLKjR4/y17a1talUKpVK1dLS\nkpeXl5mZuWvXLrFY3NTUVFpaOjQ0ZDKZiEgsFrtcrnXr1pnN5jlz5kzZUAEApiEOAGBCGzZs\nICKbzRaoQWZm5ty5c9mxWq1OSkoaGRnhzy5fvlwkErlcrsbGRiI6ceIEq09OTl6/fj0R9fX1\ncRzn8/lkMpnRaOQ4LiMjIyUl5cqVK/xNDAaDVCq9evUqx3FPPPEEETU1NU3CWAEAbm1YigWA\noAwODvZeZ2RkxL9Nf3//yZMn8/PzIyMj+cply5aNjo4eO3Zs8eLFAoGgvb2diHp6enp6ekpK\nSvhJu87OTpfLlZeX53Q6f/nll4KCAqFQ6P5Xfn7+pUuXOjo62D0jIyOXLl0awtEDANwakNgB\nQFAMBkPidWw2m3+bvr4+Ipo9e7Z/pVKpJKL+/n6FQpGenv7dd98RUWtrq0Kh0Gg0WVlZbW1t\nRNTW1iYSiR577LH+/n4i2rJli8TPyy+/TES9vb3snjKZTCQShWDUAAC3FuyxA4CgbN68ee7c\nuddUzps3z7/INs/5fD7/So7jiEgoFBJRTk7O7t27iai1tTU7O5uI9Hp9TU0NEbW1tWVmZkql\nUnbViy++6P9eBZOSksIOkNUBAIwLiR0ABCUzM/OGH3eSkJBA/87b8ViRncrNza2qqjp9+nRr\na6vZbCYinU732muvORyO9vZ29m5EUlISEXm9Xny6CgDAf4WlWAC4aeLi4tLS0vbv3+92u/nK\npqamqKiohQsXEpFOp5NIJNu2bevt7WUzdhkZGVKptKamhm2wI6LY2NiHH3547969Fy5c4G+y\nY8eOt99+e2xsLORjAgC4lSCxA4Cb6YMPPhgYGHjyySe//fZbq9VqNBqtVmtFRUV0dDQRicVi\nnU5XU1Mjl8tTU1OJKCIiYuHChdXV1QqFQqvVspts2rRpeHg4Ozt7x44dhw8fr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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "ボックスプロットを描写する際に注意したいポイントとしては、ボックスプロットはあくまでも代表値(平均値)や4分位点等のデータを要約した値の情報しか得られません。\n", "\n", "そのため、これらの要約した値の元データの点もプロットしておくとより良いボックスプロットとなります。\n", "\n", "ジッタープロットと呼ばれるグラフになり、`ggplot2`では`geom_jitter`で追加可能です。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=分類の基準となるデータの列名, y=可視化したい列名)) # データの指定\n", "g <- g + geom_boxplot(aes(fill=色分けの基準とする列名)) # グラフの指定 & 色分けの指定\n", "g <- g + geom_jitter() # ジッタープロットの追加\n", "```" ], "metadata": { "id": "YrLMGudU-TXU" } }, { "cell_type": "code", "source": [ "# ジッタープロットの追加\n", "g <- ggplot(df, aes(x=Flower, y=Height))\n", "g <- g + geom_boxplot(aes(fill=Flower))\n", "g <- g + geom_jitter()\n", "g" ], "metadata": { "id": "aFO1OLze_GBc", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "a8c5fcdf-22ad-4996-af7d-debaebe14059" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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QDogOTk5LKyMqZTvGVqarpv374TJ06kpKTUrVu3W7dutra28fHxRFRSUkJERUVF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\nfPTRRwsXLty7d6+kLd+nnJ2dY2J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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "これで、要約した値やばらつき具合だけでなく、実際のデータがどの様に分布していたのかも捉えることが出来るグラフになります。\n", "\n", "ボックスプロットを描く際には、ジッタープロットで元データのプロットも忘れないようにしましょう。" ], "metadata": { "id": "uYsoeQwo_KvT" } }, { "cell_type": "markdown", "source": [ "### バイオリンプロット\n", "\n", "先ほどのボックスプロットでは、データを要約した値を可視化していましたが、よりデータの分布を視覚的に強調したプロットがバイオリンプロットです。\n", "\n", "バイオリンプロットのgeometric objectsは`geom_violin`になります。\n", "\n", "データの指定などはボックスプロットと概ね同じです。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=分類の基準となるデータの列名, y=可視化したい列名)) # データの指定\n", "g <- g + geom_violin(aes(fill=色分けの基準とする列名)) # グラフの指定 & 色分けの指定\n", "```" ], "metadata": { "id": "9IoJAhMj_cLd" } }, { "cell_type": "code", "source": [ "# バイオリンプロットの描写\n", "g <- ggplot(df, aes(x=Flower, y=Height))\n", "g <- g + geom_violin(aes(fill=Flower))\n", "g" ], "metadata": { "id": "RZ5zjbkPCFRD", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "5c617d8d-1bd7-4193-9518-e74328a63203" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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d63RFH885//zDoLhCoUOwAIX263u6am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s0Dp48KCI6LqIcKGDjNCPIvUZDc3ff//9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\nQ5NXEEaOHClNc9BRSkoKz/PmHg/FttbpCdu+AQBAj2GvWMZGjx5NRPvrpRu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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "バイオリンプロットだと、観察値の頻度が高い部分等の情報が可視化されています。\n", "\n", "バイオリンプロットについてもボックスプロット同様に、元データをプロットしておきましょう。\n", "\n", "```\n", "g <- ggplot(データフレーム名, aes(x=分類の基準となるデータの列名, y=可視化したい列名)) # データの指定\n", "g <- g + geom_violin(aes(fill=色分けの基準とする列名)) # グラフの指定 & 色分けの指定\n", "g <- g + geom_jitter() # ジッタープロットの追加\n", "```" ], "metadata": { "id": "hJu8Hc2hCNDc" } }, { "cell_type": "code", "source": [ "# ジッタープロットの追加\n", "g <- ggplot(df, aes(x=Flower, y=Height))\n", "g <- g + geom_violin(aes(fill=Flower))\n", "g <- g + geom_jitter()\n", "g" ], "metadata": { "id": "EuLlCTZOCYEY", "colab": { "base_uri": "https://localhost:8080/", "height": 437 }, "outputId": "1201ae54-dafa-4bad-8966-25cb306498d2" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "plot without title" ], "image/png": 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uxHlZnp25jp9/kLZ8KymmS9OPTxL7NmzaJSqc7Oztu3b3dyclJEhkh94YwdQmgQ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\nEfHGG284d2gWLZ+cnJx8fX0r8h0Enz+hq6a/vqJvdtL5P2j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Vn9HSD2jlfTtL1gAAIABJREFU/6OR0wTYr6JOz57+b7hOI5k7d+6oUaP4\nPj0AAHAHwU54YrHYaObpXHUmMxGxbHe77kOHDm06HcTd3X3IkCFt+figQYOeeuopg0588vNw\nvVaAZ8tYEanc+D8tEZHZxJz7OlRdqBw/fvwDDzwgTBEAAMCR7vYLvisymUwsw9OsTGEmf9qe\nk5PTzp07ZTJZfYtcLn/77bfbPjY5adKkGTNmaMtlp78I53a3MTuXtC+g+KpzbGzsM888w/D1\n9xAAAGwEE9+EZzAYZCxPv1BlIpaIamt5moTLp7vvvvvw4cOffvppVlZWYGDgnDlzAgLat2nY\nvHnzCgsL//zzz3PfhAy6/xoxfI2jdkKdgWo0HR/tSzvinX3WIygo6KWXXsIOEwAA3QCCnfC0\nWq1CxNOFUIpEljPyczqehYSEvPjiix3+OMuyzz33XFlZ2cWLFy/tD+gzMYvD2jhXWUy/fEBX\nTpPZREonGj2ThkxqXw+5F9xSD/n16tXr1Vdf7X7zaQAAeqYedMvJblVWVjpJeNr8wEkiJiKN\nRsPP6bociUSybt26oKCgzFMe144JtJpcG9Tp6fONlHqSzCYiIq2afvmAzuxvRw+lGU4XfwxW\nKpSvvvqqp6enjeoEAACeIdgJTKvV6vV6V77ugilEIqVYVF5ezs/puiKVSrVhw4ZevXpdPuiX\nd9FOF/y7eJiKm4wnHvzkes5rlbpQeebLUBErffnlly2b2gEAQPeAYCew4uJiIvKUy1o9kise\nMqnlpNAcLy+vV199ValQnv8+qOSak9DlWFGSY6WxRkPVla1/VlshPfV5uFEvXrZsWVxcHOe1\nAQCAgBDsBFZQUEBE3jwGO2+5TKvVqtVq3s7YFYWGhr788stikfTMV6HqQqXQ5TSmsPZEHCsi\nWWuVGmrEpz6PqK2SPPbYY+PGjbNFbQAAICAEO4FZ9rzyV/K3Lq6/UkFEeXl5vJ2xi4qLi1u+\nfLnJID71ebi2Qip0ObeIHkmSJv8XiBpupbEhUx176ouw6lL51KlTZ8yYYbvyAABAKAh2AsvO\nziaiACV/W0EEKOT154WW3X777Y899lhtleTU5xGGGjuaQu7mQ5MW3hLjfMLo7gUtfcRspnPf\nhFTkOMbHxy9Y0OKhAADQZdnR76qeKSsriyEK5jHYhTgqLefl7Yxd2owZM4qLi7/77rvT/wsb\nOvsKK2rb9ATbixlLgX3p6mmqriCFinwjqOU1c5J/DSi87NK3b9/nn3+++209AgAAFgh2QjKb\nzRkZGd5ymVLM03InRBTqoCSi9PR03s7Y1S1cuLCsrOyvv/5K/DY4dto1+9mdwdmdXL3p2NdU\nUUREJFXQbQ/S0ClWjkz/2yvzpGdAQMD69euxEDEAQDeG/7gLqaioSKPRhKsc+Dypm1TiKpVc\nu3aNz5N2aSzLrlq1qk+fPgXJrpd/9xe6nJvK8unLN66nOiLS19D+PZT0V+PDClNcLx/wd3Fx\nee2111QqFc9FAgAAnxDshJSWlkZEEY68BjsiilQ5lJWVVVRU8Hzerksqla5bt87Hxyf9uFf2\nWQ+hy7nu1M+k1zVuPPLVLS8rch3OfRsslco2bNjg5eXFW20AACAIBDshXb16lYh68ztiR0RR\nKkciunLlCs/n7dKcnZ1fffVVlUqVtC/ATha3qyi01lh08+uaSunp/4WRSbxq1arIyEjeCgMA\nAKEg2AkpNTWViKKc+N6mM1LlQAh27efv729Z3O7c16HVpfytUNMcR1crjSq3618Y9aLTX4Tr\nqyWPPfZYfHw8n4UBAIBQEOyEdPXqVXeZ1F3G9xpplihpiZXQLv3793/66acNOtHpL8INOoHn\nHsXeSeImEyEGTSS6vrhJsKZIcdddd91///381wYAAIJAsOOPTqczmW4ullFYWFhRUcH/cB0R\nectlLlIJRuw6ZuLEidOnT68uk53bG0JmIafI+obTXU+StMFSOYPvpqGTiYiuHPItuuISExPz\n9NNPC1UeAADwD8ud8GHfvn0bN25MTU2VSqXjx49/5ZVXAgICLLnK8rgb/6JUDsdLS8vKytzc\n3Fo/Gm71+OOPZ2Zmnj59OuWgb9QduQJWEjuOIodQdjIZ9OQbTm4+RESFl13Sjvp4eXm99NJL\nYjF+xgEAehCM2NncwYMHH3nkkZSUFJPJpNPpvv/++xkzZlRXV1tmTkQ58T1zwgLzJzqDZdnn\nn3/ex8cn/bh3QbK1J914pHSi3sOo3+jrqa6qRJ74XbBUIl27dq2zs7OwtQEAAM8Q7Gxu3bp1\njVrS0tI+/PBDS6jqLdCIXW8nBLtOUalUL7/8skwqO/9DkD1MpLAw6tmze8OMetGSJUvCwsKE\nLgcAAPiGYGdbJpPJ6hyF5OTktLQ0d5nUTXrz6XeT2ZxeUXkyv7CyVm/rwiwTYy0L6UHHhIaG\nPv3000a96OzeUKPBLn6UkvYFVRXLJ02aNH78eKFrAQAAAeD5G9tiWVapVGo0mkbtUqm0oqJi\nRK+bd/HOF5Us+Pm3s4XFRCQViZYOiX1l9AjWZttXectlTmIx9p/opPHjxyclJe3bty95f0C/\nyZnCFpOT2Cv3glt4ePiiRYuErQQAAIRiF8MM3dvUqVObNg4YMICIwlVKy8uK2tr79v5gSXVE\npDcatxw/veXv0zYtLNRRWVRUVF1dbdOzdHuLFi0KCgrKPudekCLkw3baMvml/YEKheKFF17A\nbrAAAD0Wgp3NbdiwoX///g1bVq9ebXmqPcTherD7LOlytrrxqN6246frGiyPwrkwlYPZbM7M\nFHicqauTyWRr1qyRSCQXfwzUaYRJVGYTc+6bYKOefeqpp3x9fQWpAQAA7AGCnc2pVKr9+/e/\n++67ixcvfv7553/77beVK1dmZWURUfCNYJdRqW76QbVeX1rTZCtQ7gQrFUSUk5Nju1P0EMHB\nwfPnzzfoxBd/CCazAAVc/cu7Mt9h7Nixd955pwCnBwAAu4Fn7PggEommT58+ffr0+pacnByG\nKEBxfTal142E15BcLHKRy2xXVaBSTgh2HJk6derx48fPnTuXfc49IK6Ez1NrCpVpR3x69eqF\ntYgBAAAjdsLIz893lUqUYpHl5czoSOcmG4vNiekjE4lsV4OfQk5EeXl5tjtFz8EwzLPPPqtQ\nKFIO+PN5Q9ZsYs7/EGQ2MUuWLFGpVLydFwAA7BOCnQAMBkNZWZmv4ubiZ/4qx/+7Z6KH8ubm\nUJPDQzbfNsqmZXjKZSKGKSoqsulZeg4vL6958+bV1YqS9wfydtL0vz3VBcrbb799+PDhvJ0U\nAADsFm7FCqCsrMxkMnnfepv1rtDgi0/M+Ss7t0yni/Fwj/XyyKhUZ1VqgpxVQc5OtihDxDDu\nMmlxcbEtOu+ZpkyZ8vvvv6ekpBRfdfYIr7T16XRq6dW/fFUq1YIFC2x9LgAA6BIQ7ARQWlpK\nRL2a3Ht1lkknh4cQUVG19t4vv993LcPSfndY8Lt3jfO09hxeJ/WSSlMqK00mE8ti7JYDLMsu\nWbJkyZIll/YHjA5Ws2LbzqRI/s3fqGfnLZzn4uJi0xMBAEBXgV/nAlCr1UTkLLGeqs1E837c\nX5/qiOjntIx5P+63RUZwk0lMJpOlHuBEWFjY5MmTteWyjJNeNj1RWZZjQbJrRETEXXfdZdMT\nAQBAF4JgJwDLRhTOzawie66w+EBGdqPGAxnZZwu4fxhOJRYTUVVVFec992SPPPKISqVKO+Kt\n19psRNxMKb/5E9GCBQsw2goAAPXwK0EANTU1RKRsZsZrprU17Ygos8kKxp2nFLFEpNVqOe+5\nJ3NycnrggQfqakVpR3xsdIqCFNfKfIf4+Ph+/frZ6BQAANAVIdgJoLa2lohkIuv7wPo6Olht\n92umvTPkIlF9PcChqVOnenh4ZJ1212kaP0nJATOTesiXZdm5c+dy3zkAAHRlCHYCMBqNRCRm\nrP/hD/LxGuLT+PGsIT5eg5o0dky1wbDx6IkJn++9/ZMvf7qYXFdXV1dXx0nPUE8ikcyaNctk\nZK8d9ea887wk1+pS+e233x4YyN+6KgAA0CVgVqwAzOaWJkKIGObjhLtmf/vz6RsP1Q3y9vw4\n4S4RY32Er110dcbbP/nyfNHNrRGkUikmT9jChAkTPv/88+yzprBR+TIHA2f9mintiDfLsg89\n9BBnfQIAQHeBYCcAy9PuxubjXbCz0+FHZp7ML7xWURnq4jzEx4vlItUR0VsnzzRMdUSk1+s/\n/PDDsWPHctI/1JNIJPfdd98777yTedIz8rZcrrotuuJcVaIYO3a0n58fV3223f79+7/88sui\noqLevXsvWrQoODiY/xoAAKAFuBUrAKlUSkR6k6mFY1iGGebr/WCf3sN8vblKdUT0Z5aVhJGY\nmMhV/9DQXXfdpVKpsk67Gw2c/aBlnPAiohkzZnDVYdtt3Lhx9uzZX3/99ZEjR/bs2TNq1KiT\nJ0/yXwYAALQAwU4ASqWSiGqMRqELuY7hLjhCQ3K5/O677zboxLkX3DjpsKpYUZqp6tevX3h4\nOCcdtt3Fixd37NjRsKW2tvbpp59u+bkCAADgGYKdABwdHYlIbRBgysKYQCv370aMGMF/JT3E\n5MmTWZbNPuPBSW9Zpz2IKCEhgZPe2uXw4cNNG69du5aVlcV/MQAA0BwEOwE4OTkRUYUQwe7Z\nIQP7e7o3bJFKpevWreO/kh7Cy8tr8ODB6kJlZX5nd4QzGtjci24uLi4jR47kpLZ2aW7qtNFu\nBp4BAIAweUIQvXr1IqISIVaPk4tFB2ffv+Pk2T8yc/RGYykr8g4O8fT05L+SnmPChAknTpzI\nPe/u7NOpwa3Cyy51taI777lTLBbgx3b48OFNG318fDB/AgDArmDETgAeHh4MwxTo9IKc3UEi\neXHk0F8fnH5w9v3uPr6+vr6ClNFzDBs2zMnJKf+Sq9nUqWcZcy+6EdGdd97JUV3tM2TIkIcf\nfrhR4/bt27GhGQCAXcE/ygKQSCRubm55NTphyyiu1RtMJm9v7lfQhYYkEsno0aP1WnFJulOH\nO9FrxaXpTqGhoQKOkG3btm3btm0jRowICwubNGnSvn37hEqZAADQHNyKFYafn9+F8+erjUaH\nZnaM5UGWVkdE/v7+QhXQc4wZM+bHH38sSHbxCKvsWA+FqS5mEzNmzBhuC2sXlmXnzJkzZ84c\nAWsAAICWYcROGIGBgWaizGqtgDWkV2uJKCAgQMAaeoiYmBhnZ+eiKy5k7uDd2MLLLkQUHx/P\naV0AANDdYMTOivLy8v/+97/p6ek+Pj733XefLaKP5YbaVY22j5OK887b6KqmmohCQkKEKqDn\nYFl22LBh+/fvL89xcA2oau/HjXq2NF3l7++PFA4AAC3jI9iVlZXt2bMnMTFRr9eHhobOmzcv\nMjKSiKqqqt57773z588bDIbevXsvXLjQHqZnnj9/fsaMGWVlZZaX27Zte+eddyZPnsztWUJD\nQ4kotaqa227bJVVTLZFIsJE8P4YOHbp///7iNOcOBLvSTJXJyA4bNswWhQEAQHfCx63Y1157\nraSk5JVXXtmxY4e7u/uGDRt0Oh0R7dixo6ioaN26dVu2bFEqlRs2bDC1uMsWD0wm04IFC+pT\nHRHpdLqlS5eWlpZye6Lw8HCRSJSsbvfveK7ojKZr1dqQkBCJRCJUDT1KbGysSCQqudaR+ROW\nTw0aNIjrogAAoLuxebDTaDQeHh5PPfVUaGioj4/PnDlz1Gp1dnZ2SUnJyZMnn3zyyZCQEF9f\n34ULF+bm5l64cMHW9bQsJSXl6tWrjRorKysPHTrE7YmkUmlISMhVTbXOKEyWvaypMprNUVFR\ngpy9B3J0dOzdu3dlgcJQ0+7pMqWZThKJJCYmxhaFAQBAd2LzYKdSqdasWVP/bFBpaSnLsu7u\n7leuXJFIJPUPeDk6Ovr7+1++fNnW9bSsqsr6EFpz7Z3Rp0+fOrP5klrDec9tkVihJqLo6GhB\nzt4z9e/fn8xMeXb7nqqsrRZXlcijo6MxtgoAAK3idfKERqPZtWvXvffe6+rqqlarVSpVw+3n\nnZ2dKytvLgaxdevWxMREy9deXl6bN2/mocLBgwdLJBKDwdCoffjw4S4uLtyea9iwYd99993Z\ncvVAV2due26LcxVqIho5ciTn3xc0Z/jw4Z9//nlZtqNnZEXbP1WR40hmGjp0KK5U1yIWi3HJ\nugeWZRmGwdVsRPBHp6A5/AW7nJycV199NTY2du7cuZaWhqmuqdLS0tzc3PqXIl7We/Pw8Hjp\npZca7Z364IMPjhgxgvNzDR48mGGYM+WV84nvqY51ZvOFSk1AQAC2neBTbGwsy7IVOY7t+lR5\ntiPdeETPNnWBTTAMg0vWPVh+VeFqNmI2m4UuAazjKdglJia++eabDz744JQpUywtLi4uarXa\nbDbXx7vKykpXV9f6j2zatKlhDyUlJfyUumDBAqlUunv37uzsbHd394cffnj58uWcT56wCA4O\nTsrMrDEaFfz+k3GxQq2tM94WE2Oj7wuaExgYmJV9zWRkWFFb/02syHVgWdbHxwcXq6tgGKZX\nr14Gg6HhLQjoulxdXVmWxQ9gI3K5HM+H2Cc+gt2lS5feeOONFStWNJzWFxERYTAY0tLSwsPD\nicgyo8IeHvkSiUSPP/74448/rtfrpVKpTc81cODA9PT0s+Xqke6urR/NnRNllUQUFxfH50mB\niCIjIzMyMjRFCmefNq1NbTYx6kKlv7+/g4ODrWsDAIBuwOaTJ/R6/Y4dOxISEoKCgkpu0Ol0\nbm5uI0aMePvtt9PT03Nzc996662wsLA+ffrYup62s3WqoxsLWBwvLbf1iRo5UVYhEoliY2N5\nPi9EREQQkbpA2cbjq0vlRgNr+RQAAECrbD5il5ycXFBQ8Omnn3766af1jQsWLJg8efIzzzzz\n3nvvrV+/3mg09u3b96WXXmr5qbvuJyYmRi6XHyttx6P0nVemN1zWVEf36aNSCbbpRY8VFhZG\nRJrCtga7ygJF/acAAABaZfNgN2DAgO+++87qW0qlctmyZbYuwJ5JJJLY2Njjx4+nV2tDHNr6\ny76TjpWWm8zmoUOH8nM6aCgkJIRlWXWRoo3HVxUrCdu+AQBAm/Gx8wS0YPjw4UR0pIS/u7GH\ni8uICPtTCUKhUHh6elYVtzXYqYvkdGNnYQAAgFYh2Als6NChLMtawhYPak2mU2WV3t7eyApC\nCQoKMuhEOk2bZpNpSxUqlarhbHEAAIAWINgJzM3NLSoq6pK6qlzfeFVkWzhZVlljNNpiWT5o\no8DAQCKqLpW3eqTRwNZUSut3bQEAAGgVgp3whg8fbjKb+Rm0+7O4lIhGjhzJw7nAKj8/PyLS\nlrce7LTlMrOZ/P39bV8UAAB0Ewh2wrPErEPFNl/90mg2/1Vc7uzs3LdvX1ufC5pjCXbVZbJW\nj7QcYzkeAACgLRDshOfv7x8UFHS6XF1VZ7TpiRIr1JUGw7Bhw1gW110wPj4+RKQtbz3YWY6x\nHA8AANAW+AVvF0aOHGkwmY6U2PZu7B9FpUQ0evRom57FKoPBkJeXZzTaNrl2CW5ubhKJpKai\n9WBnOcbb29v2RQEAQDeBYGcX4uPjiehPWz5mZyb6s7hMqVTyvOGEWq1euXJlcHDwgAEDgoOD\nN2zYUFtby2cB9oZlWU9Pz5rK1vc1qalEsAMAgPbhY69YaFV4eLiXl9ffJSU6o0kusknavlSp\nKa7Vjx07gudtm5955pkff/zR8rVOp9u1a1dVVdWbb77JZw32xtPTMzc3t65WJJa1NIRZo5Yq\nFAonJ6dWO8zLyztz5gzDMIMHD/by8uKuUgAA6GIwYmcv4uPja4zGE2W22l7MMjmD5/uwZ8+e\nrU919T766KOcnBw+y7A3np6eRNTqoF1NpcTDw6PV3t56660hQ4bMmzfv0UcfHTx48O7du7mp\nEgAAuiAEO3thuRt7qMhWc2P/LC6XSqWDBg2yUf9WXblypWmj2Wy22t5zWOJay2sU19WKjHqR\nu7t7y1398MMPr7/+ul6vt7zU6XTr1q07cOAAV6UCAEDXgmBnL6Kjo11cXI6WlNeZzZx3nl5d\nk62tGThwoELR1s2sONHclglubm58lmFvevXqRUS1mpZG7HRqCRG1Guz27NnTxkYAAOgJEOzs\nBcuyI0eOVNfVJZarOe9cqHWJ4+Pjmy7DFh0dHRMTw3MldsWSa1sesautllIbEnBhYWHTxvz8\n/E5UBwAAXRiCnR2x7PRli7mxh4vLWJYdPnw45z23TKlUvvfeew2HnQICAt57770evpCeJa7V\nVrcY7Kok1IZgZ3XDsaCgoE5UBwAAXRhmxdqR2NhYhULxV0nZs71DOOy2uLY2RV3VLyamLfMr\nOTd06NC///77p59+ys7ODg0NnTx5slze+m5a3ZvlDrUlujVHpxFTG4Ld008/3eiJOplMtnjx\n4k7XCAAAXRKCnR2RSCQDBw48cuTIFU11hMqBq26PllSYiYYNG8ZVh+3l5OQ0a9Ysoc5uh1xc\nXBiGqa1u6adPr5VYjmy5q1GjRu3atWvt2rXl5eVE5O7uvnHjxiFDhnBYLQAAdCEIdvZl+PDh\nR44cOVpazmGws2xowf99WGiOWCx2dHQ0aHUtHFNbJaY2BDsimjVr1tSpU1NSUhiGiYqKwoAo\nAEBP1qMfdbJDQ4YMYVn2aEk5Vx3Wmkynyyv9/Pz8/f256hM6z9nZuZURuxqx5bC29KZQKOLi\n4mJjY5HqAAB6OAQ7++Li4hIREXGpUlNpMHDS4dlytc5owr05e+Pk5FSnF5lNTHMHGLRikUjk\n6OjIZ1UAANDVIdjZnSFDhpiITpZVctLb8dJyS5+c9AZccXZ2JvP1YTmr9DVilUrFMM0mPwAA\ngKYQ7OyOZXOI46Xc7C32d2mFVCrt378/J70BV1QqFREZmg92hhqxILOYAQCgS0Owszu9e/dW\nqVQnyio6vwFFga42S1sTExMjkbS0sgbwzxLa9FqR1XfNJqZOj/uwAADQbgh2dodl2QEDBpTW\n6jOqazrZ1amySroxBAh2xRLa6mqtj9gZdCIyXx/VAwAAaDsEO3s0cOBAIjpV1tm7sZYeYmNj\nOagJOGUJdgad9RE7SztG7AAAoL0Q7OzRgAEDiOh0eafmT5iJTpdXOjs7h4RwuY8FcOL6iF0z\nwc4ykufgwNlahgAA0EMg2NkjPz8/d3f3xAq1ydzxB+0yqrVlekNMTAxmVtqhlkfs6moxYgcA\nAB2BYGen+vfvrzbUpVVpO9xDYoXG0g93RQFnlEol3QhwTVlG8izHAAAAtB2CnZ3q168fEZ2v\n1HS4h8QKNSHY2avrwU7fzDN2tSwh2AEAQPsh2Nmpvn37EtH5CnWHe0isUDs6OgYGBnJXFHBG\noVAQUV2t9R9Aox4jdgAA0BEIdnYqMDBQpVIldjTYFdfqC3W10dHRLItLbI9aHrGztFvCHwAA\nQNvht76dYhgmOjq6uFZfVKvvwMcvVGqIqE+fPlzXBdyQy+VEZNRb/wGs0+NWLAAAdASCnf2K\njo4moosdeswuqVJDRFFRURzXBByRSCQSicRosD5iZwl8lvAHAADQdgh29isyMpKIktVVHfhs\nUqWGZVlLD2Cf5HJ5XTMjdpbAh2AHAADthWBnvyIjIxmGudT+ETuj2XylqtrPzw8r3NozuVze\n3K1YowEjdgAA0BEIdvZLpVL5+vqmaqrbu0xxerVWZzRhuM7OyWQyS4Brqg63YgEAoEMQ7Oxa\neHi41mjM1ura9alUTTURRURE2KYo4EYLwc6EETsAAOgQBDu7Fh4eTkSXNdXt+tRlNYJdFyCT\nyUxG1uporLGOZVlWIpHwXhQAAHRtCHZ2LSwsjIiuVrUv2KVWVTMMExISYpuigBvXVzyxNmhn\nNLBSqZT3igAAoMtDsLNrlmCXqmnHxFgz0VVNtY+PD1ZBs3OW6Gaqs/IzaKpDsAMAgI5AsLNr\nzs7O7u7uV6u0bf9IXo1OazSGhobarirghEwmo2aCndHAWN4FAABoFwQ7excSElKuN5TpDW08\n/oqmmm4M9YE9a2nEzogROwAA6AgEO3tneVQurc2DdteqtUQUHBxsu5KAE5a5EcY6pulbRtyK\nBQCADkGws3eWiJbW5vkT6VUIdl2D5War1ckTJkyeAACADkGws3eWiGYZh2uL9OoauVzu5eVl\nw5qAC9dvxRob/wyajIzZTAh2AADQAWKhC4BWBAQEiESi9LbditWbTFnamrCICJZtR2QvLy/f\nvn378ePHGYaJj49funSpi4tLR+uFtmruVqzZyNa/CwAA0C4IdvZOIpH4+Phk5Oebiaw8jXWr\nbK3OaDYHBQW1vf+Kiopx48ZlZ2dbXp49e/bHH388cOCASqXqaMnQJpboZm4yeaLOwBBhxA4A\nADoCt2K7gKCgIK3RWKirbfXI9GotEQUGBra98zfffLM+1V3vJD1927Zt7S0S2ssS3TBiBwAA\nHMKIXRcQEBBARI8cPydmWxmz05tM1M5gd+zYsaaNR48ebU+B0BHNPWNniXoYsQMAgA5AsOsC\nRowYceTIEYPhlqXsWJZlGMZkMpkb7DaqJHJ2du7Tp0/bO7f6NF67HtGDjmluHTtLCxYoBgCA\nDkCw6wJ69+79/vvvN2pUKpVKpVKtVuv1+s50PmbMmPPnzzdt7Eyf0BbXb8UaGo/CmnArFgAA\nOgoDMz3dypUrIyIiGrZER0c/++yzQtXTc1yfPNH0ViwmTwAAQEdhxK6nc3Bw+PXXX9955x3L\nw3ajRo1asGCBQqEQuq7uzxLd6poZsUOwAwCADkCwA3JwcFixYoXQVfQ4lqforCxQXIdgBwAA\nHYRbsQDCaG7yBG7FAgBAhyHYAQjjxl6xjW/FWnaPxaxYAADoAAQ7AGHcmBWL5U4AAIAzCHYA\nwrj+jB3WsQMAAO4g2EEPcv78+SeeeOK222574IEHvvrqq4ZrO/OvuRG7OtyKBQCAjsKsWOgp\nfv/99wceeMDydVJS0u8hkEsKAAAO5klEQVS//37u3LlXX31VqHrkcjnhViwAAHAKI3bQIxiN\nxmXLljVqfOeddxITEwWph4gkEolIJLIyYqdn6UbsAwAAaBeM2EGPkJ6enp+f37T96NGjAwYM\n4L8eC4VCUVlQ99v22IaNmBULAAAdhmAHPQLDNF5VxIJlhRy0HjlypGWjXoZhWJY1m80mk4mI\nXF1dvb29BSwMAAC6KAQ76BFCQkL8/f1zcnIatcfHxwtSj8Xy5cstX0ilUicnJ61Wq9VqBawH\nAAC6OjxjBz0Cy7I7d+5stJ3DM888069fP6FKAgAA4BxG7KCnGDNmzG+//bZ79+4rV654eXnN\nmDFjypQpQhcFAADAJQQ76EGio6N37doldBUAAAC2gluxAAAAAN0Egh0AAABAN4FgBwAAANBN\nINgBAAAAdBMIdgAAAADdBIIdAAAAQDeBYAcAAADQTSDYAQAAAHQTCHYAAAAA3QSCHQAAAEA3\ngWAHAAAA0E0g2AEAAAB0Ewh2AAAAAN0Egh0AAABAN4FgBwAAANBNINgBAAAAdBMIdgAAAADd\nBIIdAAAAQDeBYAcAAADQTSDYAQAAAHQTCHYAAAAA3QSCHQAAAEA3gWAHAAAA0E0g2AEAAAB0\nEwh2AAAAAN0Egh0AAABAN4FgBwAAANBNINgBAAAAdBMIdgAAAADdBIIdAAAAQDfBmM1moWuA\njvjzzz//+uuvWbNmhYaGCl0LdNa1a9c+//zzUaNGjRkzRuhaoLP0ev3WrVtDQkIefPBBoWsB\nDrz33ntqtXrlypVCFwLQJhix66pSUlL27t1bUFAgdCHAgcLCwr1796akpAhdCHDAYDDs3bv3\nyJEjQhcC3Pjtt9++++47oasAaCsEOwAAAIBuAsEOAAAAoJtAsAMAAADoJjB5AgAAAKCbwIgd\nAAAAQDeBYAcAAADQTSDYdTFGozEhIeHMmTNCFwJ8w6XvToqKihISEjIzM4UuBJpV/xOHHz3o\nWsRCFwBWLF++/OrVq5avlUqln5/fPffcc9tttwlaFLRJw2snEom8vLxGjx49Y8YMqVQqbGHA\nlYaXmIicnJzCw8MfeuihyMhIAauCVh0+fPitt9566623goKC6ht///33t99+e8eOHQEBAQLW\nBsAhBDs7NW7cuNmzZxORVqv9/ffft2/f7u/vHx4eLnRd0Lr6a2cwGK5cufLuu+9qtdonnnhC\n6LqAM/WXmIjKy8u//vrrl156adeuXV5eXsIWBi0YPXr0X3/9tWvXri1btjAMQ0SVlZX//ve/\nH3roIaQ66E5wK9ZOyeVyd3d3d3f3wMDARx55hGGYrKyshgfodLqEhIQLFy5YXubn5yckJOTn\n5xNReXn5li1b5s6dO2PGjDVr1qSlpQnwDfRg9dfOx8dnzJgx06ZN+/PPP6n5S2YymRISEvbv\n3//444/v3LlTr9cnJCT88ssva9asefzxx+fPn//33383OgUusbDqL7G7u3tERMSKFSuI6NSp\nU5Z3m7s6165dW7ly5YwZM5YsWYJdRgSxaNGi/Pz8+m0k3n//fR8fn2nTprX9B6qiosJy5P33\n379q1ark5GQimj9//u+//2454OOPP05ISCgqKrK8XLNmzRdffGHjbwvgFgh29s5gMPz0008O\nDg6xsbFt/MjGjRuJ6J///Ocnn3zSt2/f9evX6/V6W9YILZHJZEajsYUDWJZlWXbfvn1r1qx5\n8sknRSIREf3888+rV6/+4IMPHnzwwc2bN1dWVjb8CC6xXbFcwbq6OstLq1fHbDa//vrr/v7+\nH3/88dq1a3/55RdBS+6hXFxcnnjiif/85z+FhYVnzpw5duzY0qVLWZZt+w/Ua6+9Vl1d/Y9/\n/OOTTz6Jiop65ZVX1Gp1bGxsUlKS5YDz588HBARYXur1+tTU1IEDB/L2DQIQgp3d2rdv38yZ\nM2fOnHn//ff/97//XbZsmZubW1s+mJaWlpqa+vjjj6tUKqlUOnv27Lq6uqZDPsADs9mckZHx\n/fffDxs2rNWDhw8fHhYWplAoLC/vuOMOFxcXyxcymezEiRP1R+IS25WampqPPvpIr9cPHz6c\nmr86ly9fLioqmjVrllwu9/DwuOeee4QuvIe67bbbBgwY8I9//GP37t2Wm7Bt/4G6du1aamrq\n/PnznZ2dZTLZww8/bDKZTp8+XR/sdDpdZmbmxIkTL168SEQpKSkKhSIsLIzvbxJ6NjxjZ6dG\njx794IMPElFtbe3ly5d37NgxZ86cu+66q9UP5uXlEdHcuXMbNhYWFtqoTmhq3759Bw4cICLL\nEM7o0aPb8oCdj49Pw5fe3t6WL1iWdXNzKykpqX8Ll1hw9ZeYiHQ6XXBw8Msvv2x5wK6Fq8Mw\njKenp6XF19eX14qhgcWLFy9evNjX13fatGnUnh+o/Px8hmH8/f0tL6VSqYeHR1FR0aRJk7Zu\n3VpeXp6WlhYaGjpgwIAff/yRiC5cuBAbG2t5ng+ANwh2dsrBwaH+N31wcLBarf70009bCHYm\nk8nyhWX25ZdffolpmEKpD+Uikcjd3Z1lrY+L118yC4lE0vBlw7u3RqOx4e8GXGLB1V9irVb7\n8ssv33XXXXFxcZa3mrs6lmew6q9jy3fnwabc3Nx8fX2jo6MtP5vNXbK2XCOz2VxXV6dSqcLC\nwi5dunT58uWYmJjAwMCqqqqysrILFy5MmDDBRt8FQHNwK7ZrMJlMWq22YYtEImEYxmAwWF7W\n///SMhKQnp5ef2RBQQFfZQLRjVDu4+Pj6enZMNU1d8mssowiEJFery8tLfXw8Kh/C5dYcPWX\nOCws7Mknn9yzZ092drblreaujru7u9lsrn+mPicnh/eqwbq2/0D5+vqazeb6a63T6YqKiiz/\nA4+Njb148eLFixf79evHMEx0dPSZM2dSU1PrEz8AbxDs7JROpyspKSkpKSkoKDh27Nj3339/\n5513NjxAJBJ5e3snJiYSUW1trWXkn4gCAgL69+//73//u7i42Gg0/vzzz0uWLCkrKxPge4Bb\nNXfJrDp48GBmZqZer//qq69MJtOQIUPq38Iltiu33XbboEGDtmzZYonszV2dqKgolUr12Wef\nVVVV5ebmtnz1gU9t/4EKCQmJior68MMPNRqNTqf76KOPFAqF5dnKuLi4c+fOZWVlRUdHE1Hf\nvn2//fZbf39/V1dXvr8f6PFwK9ZOHThwwPIQj1gs9vDwmDx58syZMxsds2jRonfeeefYsWOu\nrq4zZ848efKk5d7BihUr3n///SVLlpjN5qCgoPXr17dx4gXYWnOXrKnJkyfv3r07LS3NxcXl\nhRdecHJyangkLrFdWbx48dNPP/3RRx9ZHqZs7uqsW7fuX//616OPPurj4zNv3rz169ebzWah\naweiZi6Z1Z/N55577r333lu8eLHZbI6MjNy8ebNSqSSi6Ojo0tLS8PBwy/3cvn37fvjhh5Zn\n+AB4xuBfFgC7YjQap02btn79eqySAAAA7YVbsQAAAADdBIIdAAAAQDeBW7EAAAAA3QRG7AAA\nAAC6CQQ7AAAAgG4CwQ4AAACgm0CwAwAAAOgmEOwAoBXr169nmrF582YiGjVqVFRUlNBlAgAA\ndp4AgLZZsWJFcHBwo8aRI0cKUQsAAFiHYAcAbXL//fdbtsUEAAC7hVuxAMCxn3/+ecy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}, "metadata": { "image/png": { "width": 420, "height": 420 } } } ] }, { "cell_type": "markdown", "source": [ "代表的なグラフをいくつか紹介しましたが、`ggplot2`ではその他にもたくさんのグラフを描画することが可能です。\n", "\n", "以下のurlにRで描くことが出来る様々なグラフの詳細が書かれているので、一度見ておくと良いと思います。\n", "\n", "https://www.r-graph-gallery.com/index.html" ], "metadata": { "id": "NAXyvtkKDruQ" } }, { "cell_type": "markdown", "source": [ "また、今日扱った関数を含めて、`ggplot2`で使用可能になる関数の細かい使い方は公式ドキュメントに載っています。\n", "\n", "公式ドキュメント: https://ggplot2.tidyverse.org/reference/\n", "\n", "チートシート: https://rstudio.github.io/cheatsheets/html/data-visualization.html\n", "\n", "細かい解説書も無料でアクセス可能なので、これらの資料を必要に応じて使用してみてください。\n", "\n", "解説書: https://ggplot2-book.org/" ], "metadata": { "id": "5FGbeuJPrMgW" } }, { "cell_type": "markdown", "source": [ "## 課題\n", "\n", "今回の課題は下の課題ページを実施し、Pandaの**テスト・クイズ**に記述してください。\n", "\n", "[課題のノートブックへのリンク](https://colab.research.google.com/github/slt666666/biostatistics_text_wed/blob/main/source/_static/colab_notebook/chapter4_homework.ipynb)" ], "metadata": { "id": "RsVlugUwJ5Wm" } }, { "cell_type": "code", "source": [], "metadata": { "id": "DGamSk_nJ6sd" }, "execution_count": null, "outputs": [] } ] }