{"id":961,"date":"2023-02-13T01:29:07","date_gmt":"2022-12-22T00:18:06","guid":{"rendered":"https:\/\/www.silicloud.com\/ja\/blog\/index.php\/2023\/11\/30\/%e5%b9%b3%e8%a1%a1%e4%ba%8c%e5%88%86%e6%9c%a8%e3%81%a8%e3%81%af%e4%bd%95%e3%81%8b%e3%80%81%e3%81%9d%e3%81%97%e3%81%a6%e3%81%a9%e3%81%ae%e3%82%88%e3%81%86%e3%81%ab%e7%a2%ba%e8%aa%8d%e3%81%99%e3%82%8b\/"},"modified":"2025-08-01T03:52:02","modified_gmt":"2025-07-31T18:52:02","slug":"%e5%b9%b3%e8%a1%a1%e4%ba%8c%e5%88%86%e6%9c%a8%e3%81%a8%e3%81%af%e4%bd%95%e3%81%8b%e3%80%81%e3%81%9d%e3%81%97%e3%81%a6%e3%81%a9%e3%81%ae%e3%82%88%e3%81%86%e3%81%ab%e7%a2%ba%e8%aa%8d%e3%81%99%e3%82%8b","status":"publish","type":"post","link":"https:\/\/www.silicloud.com\/ja\/blog\/%e5%b9%b3%e8%a1%a1%e4%ba%8c%e5%88%86%e6%9c%a8%e3%81%a8%e3%81%af%e4%bd%95%e3%81%8b%e3%80%81%e3%81%9d%e3%81%97%e3%81%a6%e3%81%a9%e3%81%ae%e3%82%88%e3%81%86%e3%81%ab%e7%a2%ba%e8%aa%8d%e3%81%99%e3%82%8b\/","title":{"rendered":"\u5e73\u8861\u4e8c\u5206\u6728\u3068\u306f\u4f55\u304b\u3001\u305d\u3057\u3066\u3069\u306e\u3088\u3046\u306b\u78ba\u8a8d\u3059\u308b\u306e\u304b"},"content":{"rendered":"<p>\u30d0\u30a4\u30ca\u30ea\u30c4\u30ea\u30fc\u306e\u5834\u5408\u3001\u30c4\u30ea\u30fc\u304c\u50be\u3044\u3066\u3044\u308b\u3068\u3001\u64cd\u4f5c\u3092\u884c\u3046\u969b\u306b\u8a08\u7b97\u52b9\u7387\u304c\u4f4e\u4e0b\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u7406\u7531\u304b\u3089\u3001\u6728\u304c\u50be\u304b\u306a\u3044\u3088\u3046\u306b\u3059\u308b\u305f\u3081\u306e\u52d5\u6a5f\u304c\u751f\u307e\u308c\u307e\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u30d0\u30e9\u30f3\u30b9\u306e\u53d6\u308c\u305f\u4e8c\u5206\u6728\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n<h2>\u5e73\u8861\u4e8c\u5206\u6728\u3068\u306f\u4f55\u3067\u3059\u304b\uff1f (H\u0113k\u014d nibunki to wa nan desu ka?)<\/h2>\n<p>\u30d0\u30e9\u30f3\u30b9\u4e8c\u5206\u6728\u306f\u64cd\u4f5c\u3092\u884c\u3046\u969b\u306b\u8a08\u7b97\u52b9\u7387\u304c\u9ad8\u3044\u3067\u3059\u3002<\/p>\n<p>\u30d0\u30e9\u30f3\u30b9\u306e\u53d6\u308c\u305f\u4e8c\u5206\u6728\u306f\u3001\u4ee5\u4e0b\u306e\u6761\u4ef6\u306b\u5f93\u3044\u307e\u3059\u3002 (Baransu no totta nibun-ki wa, irekae no jouken ni shitagau.)<\/p>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol>\u3042\u308b\u30ce\u30fc\u30c9\u306b\u304a\u3044\u3066\u3001\u5de6\u90e8\u5206\u6728\u3068\u53f3\u90e8\u5206\u6728\u306e\u9ad8\u3055\u306e\u7d76\u5bfe\u7684\u306a\u5dee\u306f1\u4ee5\u4e0b\u3067\u3059\u3002<\/ol>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol>\u5404\u30ce\u30fc\u30c9\u306b\u304a\u3044\u3066\u3001\u5de6\u90e8\u5206\u6728\u306f\u30d0\u30e9\u30f3\u30b9\u304c\u53d6\u308c\u305f\u4e8c\u5206\u6728\u3067\u3059\u3002<\/ol>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol>\u5404\u30ce\u30fc\u30c9\u306b\u304a\u3044\u3066\u3001\u53f3\u90e8\u5206\u6728\u306f\u30d0\u30e9\u30f3\u30b9\u304c\u53d6\u308c\u305f\u4e8c\u5206\u6728\u3067\u3059\u3002<\/ol>\n<h2>\u9ad8\u3055\u30d0\u30e9\u30f3\u30b9\u306e\u3068\u308c\u305f\u4e8c\u9032\u6728<\/h2>\n<p>\u5e73\u8861\u4e8c\u5206\u6728\u306f\u3001\u9ad8\u3055\u30d0\u30e9\u30f3\u30b9\u4e8c\u5206\u6728\u3068\u3057\u3066\u3082\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u9ad8\u3055\u30d0\u30e9\u30f3\u30b9\u4e8c\u5206\u6728\u306f\u3001\u5de6\u5074\u3068\u53f3\u5074\u306e\u90e8\u5206\u6728\u306e\u9ad8\u3055\u306e\u5dee\u3092\u8868\u3059k\u306b\u3088\u3063\u3066HB(k)\u3068\u8868\u3055\u308c\u307e\u3059\u3002&#8217;k&#8217;\u306f\u30d0\u30e9\u30f3\u30b9\u30d5\u30a1\u30af\u30bf\u30fc\u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u6728\u306b\u5bfe\u3057\u3066\u30d0\u30e9\u30f3\u30b9\u30d5\u30a1\u30af\u30bf\u30fc\uff08k\uff09\u304c\u30bc\u30ed\u3067\u3042\u308c\u3070\u3001\u305d\u306e\u6728\u306f\u5b8c\u5168\u306b\u30d0\u30e9\u30f3\u30b9\u304c\u53d6\u308c\u305f\u4e8c\u5206\u6728\u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u306fHB\uff080\uff09\u3068\u8868\u3055\u308c\u307e\u3059\u3002<\/p>\n<div><img decoding=\"async\" class=\"post-images\" title=\"\" src=\"https:\/\/cdn.silicloud.com\/blog-img\/blog\/img\/65648eb5daa94e2bdf7bd420\/9-0.png\" alt=\"Fully Balanced\" \/><\/div>\n<h2>\u81ea\u5df1\u30d0\u30e9\u30f3\u30b9\u4e8c\u5206\u63a2\u7d22\u6728<\/h2>\n<p>\u4e8c\u5206\u63a2\u7d22\u6728\u306e\u30d0\u30e9\u30f3\u30b9\u30d5\u30a1\u30af\u30bf\u30fc\u304c1\u3067\u3042\u308b\u5834\u5408\u3001\u305d\u308c\u306fAVL\uff08\u30a2\u30c7\u30eb\u30bd\u30f3\u30fb\u30f4\u30a7\u30eb\u30b9\u30ad\u30fc\u30fb\u30e9\u30f3\u30c7\u30a3\u30b9\uff09\u6728\u3067\u3059\u3002\u3064\u307e\u308a\u3001AVL\u6728\u3067\u306f\u5de6\u90e8\u5206\u6728\u3068\u53f3\u90e8\u5206\u6728\u306e\u9ad8\u3055\u306e\u5dee\u306f\u6700\u5927\u3067\u30821\u3067\u3042\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p>AVL\u6728\u306f\u81ea\u5df1\u30d0\u30e9\u30f3\u30b9\u578b\u306e\u4e8c\u5206\u63a2\u7d22\u6728\u3067\u3059\u3002AVL\u6728\u3067\u306f\u3001\u5de6\u90e8\u5206\u6728\u3068\u53f3\u90e8\u5206\u6728\u306e\u5dee\u304c1\u3088\u308a\u5927\u304d\u3044\u5834\u5408\u3001\u4ee5\u4e0b\u306e4\u3064\u306e\u56de\u8ee2\u64cd\u4f5c\u306e\u3044\u305a\u308c\u304b\u3092\u884c\u3063\u3066\u81ea\u5df1\u3092\u30d0\u30e9\u30f3\u30b9\u3055\u305b\u307e\u3059\u3002<\/p>\n<ul class=\"post-ul\">\n<li>Left rotation<\/li>\n<li>Right rotation<\/li>\n<li>Left-Right rotation<\/li>\n<li>Right-Left rotation<\/li>\n<\/ul>\n<div><img decoding=\"async\" class=\"post-images\" title=\"\" src=\"https:\/\/cdn.silicloud.com\/blog-img\/blog\/img\/65648eb5daa94e2bdf7bd420\/14-0.png\" alt=\"AVL\" \/><\/div>\n<h2>\u30d0\u30a4\u30ca\u30ea\u30c4\u30ea\u30fc\u304c\u30d0\u30e9\u30f3\u30b9\u3057\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u30c1\u30a7\u30c3\u30af\u3059\u308b\u65b9\u6cd5\u306f\uff1f<\/h2>\n<p>\u30d0\u30a4\u30ca\u30ea\u30c4\u30ea\u30fc\u304c\u30d0\u30e9\u30f3\u30b9\u3057\u3066\u3044\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u4e09\u3064\u306e\u6761\u4ef6\u3092\u30c1\u30a7\u30c3\u30af\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol>\u3069\u306e\u30ce\u30fc\u30c9\u3067\u3082\u3001\u5de6\u53f3\u306e\u30b5\u30d6\u30c4\u30ea\u30fc\u306e\u9ad8\u3055\u306e\u7d76\u5bfe\u5024\u306e\u5dee\u306f1\u4ee5\u4e0b\u3067\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002<\/ol>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol>\n<li style=\"list-style-type: none;\">\n<ol>\u5404\u30ce\u30fc\u30c9\u306b\u304a\u3044\u3066\u3001\u5de6\u306e\u30b5\u30d6\u30c4\u30ea\u30fc\u306f\u30d0\u30e9\u30f3\u30b9\u306e\u53d6\u308c\u305f\u4e8c\u5206\u6728\u3067\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002<\/ol>\n<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<ol>\u5404\u30ce\u30fc\u30c9\u306b\u304a\u3044\u3066\u3001\u53f3\u306e\u30b5\u30d6\u30c4\u30ea\u30fc\u306f\u30d0\u30e9\u30f3\u30b9\u306e\u53d6\u308c\u305f\u4e8c\u5206\u6728\u3067\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002<\/ol>\n<p>\u6a39\u6728\u306e\u9ad8\u3055\u3092\u8a08\u7b97\u3067\u304d\u308b\u95a2\u6570\u304c\u5fc5\u8981\u3067\u3059\u3002\u3053\u308c\u3092\u884c\u3046\u4e00\u3064\u306e\u65b9\u6cd5\u306f\u3001\u9ad8\u3055\u3092\u8a08\u7b97\u3059\u308b\u305f\u3081\u306b\u5225\u306e\u95a2\u6570\u3092\u4f5c\u6210\u3057\u3001\u5fc5\u8981\u306a\u90fd\u5ea6\u547c\u3073\u51fa\u3059\u3053\u3068\u3067\u3059\u3002\u3057\u304b\u3057\u3001\u3053\u308c\u306f\u8a08\u7b97\u7684\u306b\u975e\u52b9\u7387\u3067\u3059\u3002<\/p>\n<p>\u3053\u308c\u3092\u5b9f\u88c5\u3059\u308b\u306e\u306b\u3088\u308a\u826f\u3044\u65b9\u6cd5\u306f\u3001\u540c\u3058\u95a2\u6570\u5185\u3067\u9ad8\u3055\u3092\u8fd4\u3059\u3053\u3068\u3067\u3059\u3002<\/p>\n<p>\u5404\u30ce\u30fc\u30c9\u306b\u3064\u3044\u3066\u3001\u305d\u306e\u30ce\u30fc\u30c9\/\u90e8\u5206\u6728\u304c\u30d0\u30e9\u30f3\u30b9\u3057\u3066\u3044\u306a\u3044\u5834\u5408\u306f-1\u3092\u8fd4\u3057\u3001\u30d0\u30e9\u30f3\u30b9\u3057\u3066\u3044\u308b\u5834\u5408\u306f\u305d\u306e\u30ce\u30fc\u30c9\/\u90e8\u5206\u6728\u306e\u9ad8\u3055\u3092\u8fd4\u3057\u307e\u3059\u3002<\/p>\n<p>\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\uff1a<\/p>\n<ul class=\"post-ul\">\n<li>If node == null -&gt; return 0<\/li>\n<li>Check left subtree. If not balanced -&gt; return -1<\/li>\n<li>Check right subtree. If not balanced -&gt; return -1<\/li>\n<li>The absolute between heights of left and right subtrees. If it is greater than 1 -&gt; return -1.<\/li>\n<li>If the tree is balanced -&gt; return height<\/li>\n<\/ul>\n<p>\u7591\u4f3c\u30b3\u30fc\u30c9\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002 (Giji k\u014ddo wa tsugi no y\u014dni narimasu.)<\/p>\n<pre class=\"post-pre\"><code> <span class=\"token keyword\">private<\/span> <span class=\"token keyword\">int<\/span> balanceHeight <span class=\"token punctuation\">(<\/span><span class=\"token class-name\">TreeNode<\/span> currentNode<span class=\"token punctuation\">)<\/span>\r\n    <span class=\"token punctuation\">{<\/span>\r\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>currentNode <span class=\"token operator\">==<\/span> <span class=\"token keyword\">null<\/span><span class=\"token punctuation\">)<\/span>\r\n        <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\r\n        <span class=\"token comment\">\/\/ checking left subtree<\/span>\r\n        <span class=\"token keyword\">int<\/span> leftSubtreeHeight <span class=\"token operator\">=<\/span> balanceHeight <span class=\"token punctuation\">(<\/span>currentNode<span class=\"token punctuation\">.<\/span>left<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>leftSubtreeHeight <span class=\"token operator\">==<\/span> <span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token comment\">\/\/ if left subtree is not balanced then the entire tree is also not balanced<\/span>\r\n\r\n        <span class=\"token comment\">\/\/checking right subtree<\/span>\r\n        <span class=\"token keyword\">int<\/span> rightSubtreeHeight <span class=\"token operator\">=<\/span> balanceHeight <span class=\"token punctuation\">(<\/span>currentNode<span class=\"token punctuation\">.<\/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>rightSubtreeHeight <span class=\"token operator\">==<\/span> <span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">return<\/span> <span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\r\n        <span class=\"token comment\">\/\/ if right subtree is not balanced then the entire          tree is also not balanced<\/span>\r\n\r\n        <span class=\"token comment\">\/\/checking the difference of left and right subtree for current node<\/span>\r\n        <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token class-name\">Math<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">abs<\/span><span class=\"token punctuation\">(<\/span>leftSubtreeHeight <span class=\"token operator\">-<\/span> rightSubtreeHeight<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span>\r\n        <span class=\"token punctuation\">{<\/span>\r\n            <span class=\"token keyword\">return<\/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        <span class=\"token comment\">\/\/if it is balanced then return the height<\/span>\r\n        <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token class-name\">Math<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">max<\/span><span class=\"token punctuation\">(<\/span>leftSubtreeHeight<span class=\"token punctuation\">,<\/span> rightSubtreeHeight<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">+<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\r\n    <span class=\"token punctuation\">}<\/span>\r\n<\/code><\/pre>\n<p>\u3053\u306e\u6a5f\u80fd\u306f\u3001\u6728\u306e\u30eb\u30fc\u30c8\u3067\u547c\u3073\u51fa\u3059\u3053\u3068\u304c\u3067\u304d\u3001\u3082\u3057-1\u4ee5\u5916\u306e\u5024\u304c\u8fd4\u3055\u308c\u308b\u5834\u5408\u3001\u305d\u308c\u306f\u30d0\u30e9\u30f3\u30b9\u4e8c\u5206\u6728\u3067\u3059\u3002-1\u304c\u8fd4\u3055\u308c\u308b\u5834\u5408\u3001\u30d0\u30e9\u30f3\u30b9\u4e8c\u5206\u6728\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<h2>\u7d50\u8ad6<\/h2>\n<p>\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u30d0\u30e9\u30f3\u30b9\u4e8c\u5206\u6728\u306b\u3064\u3044\u3066\u5b66\u3073\u3001\u3069\u306e\u3088\u3046\u306b\u3057\u3066\u6728\u304c\u30d0\u30e9\u30f3\u30b9\u4e8c\u5206\u6728\u3067\u3042\u308b\u304b\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u304b\u3092\u8aac\u660e\u3057\u307e\u3057\u305f\u3002\u79c1\u305f\u3061\u3068\u4e00\u7dd2\u306b\u5b66\u3073\u306a\u304c\u3089\u3001\u7406\u89e3\u3057\u3066\u697d\u3057\u3093\u3067\u3044\u305f\u3060\u3051\u305f\u3053\u3068\u3092\u9858\u3063\u3066\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u30d0\u30a4\u30ca\u30ea\u30c4\u30ea\u30fc\u306e\u5834\u5408\u3001\u30c4\u30ea\u30fc\u304c\u50be\u3044\u3066\u3044\u308b\u3068\u3001\u64cd\u4f5c\u3092\u884c\u3046\u969b\u306b\u8a08\u7b97\u52b9\u7387\u304c\u4f4e\u4e0b\u3057\u307e\u3059\u3002 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