{"id":665,"date":"2023-03-18T22:48:20","date_gmt":"2023-07-11T18:17:49","guid":{"rendered":"https:\/\/www.silicloud.com\/ja\/blog\/index.php\/2023\/11\/30\/c-c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e4%ba%8c%e5%88%86%e6%9c%a8%e3%81%ae%e9%ab%98%e3%81%95\/"},"modified":"2025-08-01T01:29:19","modified_gmt":"2025-07-31T16:29:19","slug":"c-c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e4%ba%8c%e5%88%86%e6%9c%a8%e3%81%ae%e9%ab%98%e3%81%95","status":"publish","type":"post","link":"https:\/\/www.silicloud.com\/ja\/blog\/c-c%e3%81%ab%e3%81%8a%e3%81%91%e3%82%8b%e4%ba%8c%e5%88%86%e6%9c%a8%e3%81%ae%e9%ab%98%e3%81%95\/","title":{"rendered":"C\/C++\u306b\u304a\u3051\u308b\u4e8c\u5206\u6728\u306e\u9ad8\u3055"},"content":{"rendered":"<p>\u4e8c\u5206\u6728\u306e\u9ad8\u3055\u3068\u306f\u3001\u30eb\u30fc\u30c8\u30ce\u30fc\u30c9\u304b\u3089\u4efb\u610f\u306e\u30ea\u30fc\u30d5\u30ce\u30fc\u30c9\u307e\u3067\u306e\u6700\u9577\u30d1\u30b9\u306e\u9577\u3055\u3067\u3042\u308a\u3001\u3064\u307e\u308a\u3001\u30eb\u30fc\u30c8\u30ce\u30fc\u30c9\u304b\u3089\u6700\u3082\u5965\u306e\u30ea\u30fc\u30d5\u30ce\u30fc\u30c9\u307e\u3067\u306e\u6700\u77ed\u8ddd\u96e2\u3068\u3044\u3046\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306e\u30d0\u30a4\u30ca\u30ea\u30c4\u30ea\u30fc\u3092\u8003\u3048\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<div><img decoding=\"async\" class=\"post-images\" title=\"\" src=\"https:\/\/cdn.silicloud.com\/blog-img\/blog\/img\/6564985cdaa94e2bdf7c080f\/2-0.png\" alt=\"Binary Tree Ht\" \/><\/div>\n<p>\u6700\u5927\u306e\u6df1\u3055\u306b\u5bfe\u5fdc\u3059\u308b\u8449\u306e\u30ce\u30fc\u30c9\u304c40\u306850\u3067\u3042\u308b\u305f\u3081\u3001\u9ad8\u3055\u3092\u6c42\u3081\u308b\u305f\u3081\u306b\u306f\u5358\u7d14\u306b\u6839\u30ce\u30fc\u30c9\u304b\u3089\u3053\u308c\u3089\u306e\u30ce\u30fc\u30c9\u306e\u3044\u305a\u308c\u304b\u307e\u3067\u306e\u30a8\u30c3\u30b8\u306e\u6570\u30923\u3067\u6c42\u3081\u308c\u3070\u3088\u3044\u3067\u3059\u3002<\/p>\n<p>\u4e8c\u5206\u6728\u306e\u9ad8\u3055\u304c\u3069\u306e\u3088\u3046\u306a\u610f\u5473\u3092\u6301\u3064\u304b\u308f\u304b\u3063\u305f\u306e\u3067\u3001\u4eca\u5ea6\u306f\u4efb\u610f\u306e\u4e8c\u5206\u6728\u306e\u9ad8\u3055\u3092\u6c42\u3081\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u69cb\u7bc9\u3057\u307e\u3059\u3002<\/p>\n<h2>C++\u306b\u304a\u3051\u308b\u4e8c\u5206\u6728\u306e\u9ad8\u3055\u3092\u6c42\u3081\u308b\u305f\u3081\u306e\u8ad6\u7406<\/h2>\n<p>\u9ad8\u3055\u3092\u6c42\u3081\u308b\u305f\u3081\u306e\u30ed\u30b8\u30c3\u30af\u3092\u6c7a\u5b9a\u3057\u3001\u307e\u305a\u306f\u64ec\u4f3c\u30b3\u30fc\u30c9\u3092\u66f8\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u30c4\u30ea\u30fc\u4e0a\u3067\u518d\u5e30\u3092\u5229\u7528\u3057\u3066\u3001\u9ad8\u3055\u3092\u6c42\u3081\u307e\u3059\u3002\uff08\u6982\u5ff5\u306b\u3064\u3044\u3066\u306fWikipedia\u306e\u8a18\u4e8b\u3092\u53c2\u7167\uff09<\/p>\n<p>\u6728\u306e\u9ad8\u3055\u306f\u3001\u6839\u304b\u3089\u8449\u307e\u3067\u306e\u6700\u9577\u306e\u30d1\u30b9\u3068\u3057\u3066\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u5de6\u306e\u90e8\u5206\u6728\u3068\u53f3\u306e\u90e8\u5206\u6728\u306e\u9ad8\u3055\u3092\u518d\u5e30\u7684\u306b\u8a08\u7b97\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u79c1\u305f\u3061\u306f\u4eca\u3001\u90e8\u5206\u6728\u306e\u9ad8\u3055\u306e\u5b9a\u7fa9\u3092\u9069\u7528\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u5de6\u90e8\u5206\u6728\u3068\u53f3\u90e8\u5206\u6728\u306e\u9593\u3067\u6700\u5927\u5024\u3092\u89b3\u5bdf\u3057\u3001\u305d\u306e\u5f8c\u306b1\u3092\u52a0\u3048\u308b\u3002<\/p>\n<p>\u6728\u306e\u9ad8\u3055\u306f\u3001\u90e8\u5206\u6728\u306e\u6700\u5927\u306e\u9ad8\u3055\u306b1\u3092\u52a0\u3048\u305f\u3082\u306e\u3067\u3042\u308a\u3001\u90e8\u5206\u6728\u304cNULL\u306b\u306a\u308a\u3001\u9ad8\u3055\u304c0\u306b\u306a\u308b\u307e\u3067\u3001\u3053\u306e\u64cd\u4f5c\u3092\u7e70\u308a\u8fd4\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u6642\u70b9\u3067\u3001\u79c1\u305f\u3061\u306e\u6a5f\u80fd\u306f\u3064\u3044\u306b\u7d42\u4e86\u3057\u307e\u3059\u3002<\/p>\n<p>\u6a39\u6728\u306e\u9ad8\u3055\u3092\u8a08\u7b97\u3059\u308b\u95a2\u6570tree_height()\u3092\u4f5c\u6210\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n<pre class=\"post-pre\"><code><span class=\"token comment\">\/\/ Find height of a tree, defined by the root node<\/span>\r\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>root <span class=\"token operator\">==<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">)<\/span> \r\n        <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span>\r\n        <span class=\"token comment\">\/\/ Find the height of left, right subtrees<\/span>\r\n        left_height <span class=\"token operator\">=<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        right_height <span class=\"token operator\">=<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n         \r\n        <span class=\"token comment\">\/\/ Find max(subtree_height) + 1 to get the height of the tree<\/span>\r\n        <span class=\"token keyword\">return<\/span> <span class=\"token function\">max<\/span><span class=\"token punctuation\">(<\/span>left_height<span class=\"token punctuation\">,<\/span> right_height<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\r\n<span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<p>3\u884c\u76ee\u306f\u3001\u30b5\u30d6\u30c4\u30ea\u30fc\u306e\u30b5\u30a4\u30ba\u304c0\u3067\u3042\u308b\u304b\u3001\u307e\u305f\u306f\u30eb\u30fc\u30c8\u30ce\u30fc\u30c9\u304cNULL\u3067\u3042\u308b\u5834\u5408\u306b\u7d42\u4e86\u6761\u4ef6\u3092\u8a55\u4fa1\u3057\u307e\u3059\u3002<\/p>\n<p>7\u884c\u76ee\u30688\u884c\u76ee\u306f\u3001\u5de6\u3068\u53f3\u306e\u90e8\u5206\u6728\u306e\u9ad8\u3055\u3092\u518d\u5e30\u7684\u306b\u898b\u3064\u3051\u307e\u3059\u3002<\/p>\n<p>\u6700\u5f8c\u306b\u3001Line 11\u306f2\u3064\u306e\u4e2d\u3067\u6700\u5927\u5024\u3092\u8fd4\u3057\u3001\u6728\u306e\u9ad8\u3055\u3092\u8fd4\u3057\u307e\u3059\u3002<\/p>\n<h2>C\/C++\u306b\u3088\u308b\u5b9f\u88c5<\/h2>\n<p>\u4ee5\u4e0b\u306f\u3001\u30d0\u30a4\u30ca\u30ea\u30c4\u30ea\u30fc\u3092\u69cb\u7bc9\u3059\u308b\u5b8c\u5168\u306a\u30d7\u30ed\u30b0\u30e9\u30e0\u3067\u3042\u308a\u3001tree_height()\u95a2\u6570\u3067\u30c4\u30ea\u30fc\u306e\u9ad8\u3055\u3092\u898b\u3064\u3051\u308b\u30ed\u30b8\u30c3\u30af\u3082\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<pre class=\"post-pre\"><code><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;stdio.h&gt;<\/span><\/span>\r\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;stdlib.h&gt;<\/span><\/span>\r\n\r\n<span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">Node<\/span> Node<span class=\"token punctuation\">;<\/span>\r\n\r\n<span class=\"token comment\">\/\/ Define the Tree Node here<\/span>\r\n<span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">Node<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token keyword\">int<\/span> value<span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token comment\">\/\/ Pointers to the left and right children<\/span>\r\n    Node<span class=\"token operator\">*<\/span> left<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">*<\/span>right<span class=\"token punctuation\">;<\/span>\r\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span>\r\n\r\n\r\nNode<span class=\"token operator\">*<\/span> <span class=\"token function\">init_tree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> data<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token comment\">\/\/ Creates the tree and returns the<\/span>\r\n    <span class=\"token comment\">\/\/ root node<\/span>\r\n    Node<span class=\"token operator\">*<\/span> root <span class=\"token operator\">=<\/span> <span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token function\">malloc<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    root<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">=<\/span> root<span class=\"token operator\">-&gt;<\/span>right <span class=\"token operator\">=<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">;<\/span>\r\n    root<span class=\"token operator\">-&gt;<\/span>value <span class=\"token operator\">=<\/span> data<span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">return<\/span> root<span class=\"token punctuation\">;<\/span>\r\n<span class=\"token punctuation\">}<\/span>\r\n\r\nNode<span class=\"token operator\">*<\/span> <span class=\"token function\">create_node<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> data<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token comment\">\/\/ Creates a new node<\/span>\r\n    Node<span class=\"token operator\">*<\/span> node <span class=\"token operator\">=<\/span> <span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token function\">malloc<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">sizeof<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    node<span class=\"token operator\">-&gt;<\/span>value <span class=\"token operator\">=<\/span> data<span class=\"token punctuation\">;<\/span>\r\n    node<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">=<\/span> node<span class=\"token operator\">-&gt;<\/span>right <span class=\"token operator\">=<\/span> <span class=\"token constant\">NULL<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">return<\/span> node<span class=\"token punctuation\">;<\/span>\r\n<span class=\"token punctuation\">}<\/span>\r\n\r\n<span class=\"token keyword\">void<\/span> <span class=\"token function\">free_tree<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token comment\">\/\/ Deallocates memory corresponding<\/span>\r\n    <span class=\"token comment\">\/\/ to every node in the tree.<\/span>\r\n    Node<span class=\"token operator\">*<\/span> temp <span class=\"token operator\">=<\/span> root<span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>temp<span class=\"token punctuation\">)<\/span>\r\n        <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token function\">free_tree<\/span><span class=\"token punctuation\">(<\/span>temp<span class=\"token operator\">-&gt;<\/span>left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token function\">free_tree<\/span><span class=\"token punctuation\">(<\/span>temp<span class=\"token operator\">-&gt;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>temp<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token operator\">!<\/span>temp<span class=\"token operator\">-&gt;<\/span>right<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n        <span class=\"token function\">free<\/span><span class=\"token punctuation\">(<\/span>temp<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token keyword\">return<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token punctuation\">}<\/span>\r\n<span class=\"token punctuation\">}<\/span>\r\n\r\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>Node<span class=\"token operator\">*<\/span> root<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token comment\">\/\/ Get the height of the tree<\/span>\r\n    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token operator\">!<\/span>root<span class=\"token punctuation\">)<\/span>\r\n        <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">else<\/span> <span class=\"token punctuation\">{<\/span>\r\n        <span class=\"token comment\">\/\/ Find the height of both subtrees<\/span>\r\n        <span class=\"token comment\">\/\/ and use the larger one<\/span>\r\n        <span class=\"token keyword\">int<\/span> left_height <span class=\"token operator\">=<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token keyword\">int<\/span> right_height <span class=\"token operator\">=<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token operator\">-&gt;<\/span>right<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>left_height <span class=\"token operator\">&gt;=<\/span> right_height<span class=\"token punctuation\">)<\/span>\r\n            <span class=\"token keyword\">return<\/span> left_height <span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token keyword\">else<\/span>\r\n            <span class=\"token keyword\">return<\/span> right_height <span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token punctuation\">}<\/span>\r\n<span class=\"token punctuation\">}<\/span>\r\n\r\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>\r\n    <span class=\"token comment\">\/\/ Program to demonstrate finding the height of a Binary Tree<\/span>\r\n\r\n    <span class=\"token comment\">\/\/ Create the root node having a value of 10<\/span>\r\n    Node<span class=\"token operator\">*<\/span> root <span class=\"token operator\">=<\/span> <span class=\"token function\">init_tree<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    \r\n    <span class=\"token comment\">\/\/ Insert nodes onto the tree<\/span>\r\n    root<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">=<\/span> <span class=\"token function\">create_node<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">20<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    root<span class=\"token operator\">-&gt;<\/span>right <span class=\"token operator\">=<\/span> <span class=\"token function\">create_node<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">30<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    root<span class=\"token operator\">-&gt;<\/span>left<span class=\"token operator\">-&gt;<\/span>left <span class=\"token operator\">=<\/span> <span class=\"token function\">create_node<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">40<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    root<span class=\"token operator\">-&gt;<\/span>left<span class=\"token operator\">-&gt;<\/span>right <span class=\"token operator\">=<\/span> <span class=\"token function\">create_node<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">50<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n\r\n    <span class=\"token comment\">\/\/ Find the height of the tree<\/span>\r\n    <span class=\"token keyword\">int<\/span> height <span class=\"token operator\">=<\/span> <span class=\"token function\">tree_height<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"Height of the Binary Tree: %d\\n\"<\/span><span class=\"token punctuation\">,<\/span> height<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n\r\n    <span class=\"token comment\">\/\/ Free the tree!<\/span>\r\n    <span class=\"token function\">free_tree<\/span><span class=\"token punctuation\">(<\/span>root<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\r\n<span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<hr 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