{"id":8328,"date":"2025-10-06T05:30:55","date_gmt":"2025-10-06T05:30:55","guid":{"rendered":"https:\/\/pokecon.jp\/job\/?p=8328"},"modified":"2025-10-06T05:30:55","modified_gmt":"2025-10-06T05:30:55","slug":"%e5%a4%a7%e9%87%8f%e3%83%87%e3%83%bc%e3%82%bf%e3%81%ae%e9%87%8d%e8%a4%87%e6%a4%9c%e5%87%ba%e3%82%92unionfind%e3%81%a8%e9%80%86%e5%bc%95%e3%81%8d%e3%82%a4%e3%83%b3%e3%83%87%e3%83%83%e3%82%af%e3%82%b9","status":"publish","type":"post","link":"https:\/\/pokecon.jp\/job\/8328\/","title":{"rendered":"\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u5287\u7684\u306b\u9ad8\u901f\u5316\u3057\u305f\u8a71 &#8211; Techouse Developers Blog"},"content":{"rendered":"\n<\/p>\n<div>\n<p><img decoding=\"async\" src=\"http:\/\/res.cloudinary.com\/dyjw65doo\/image\/upload\/v1756343421\/union-find\/ogp.png\" alt=\"ogp\"\/><\/p>\n<p>\u5148\u65e5\u3001\u696d\u52d9\u3067\u91cd\u8907\u5224\u5b9a\u3092\u5b9f\u88c5\u3059\u308b\u6a5f\u4f1a\u304c\u3042\u308a\u307e\u3057\u305f\u3002\u305d\u306e\u4e2d\u3067UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u3044\u3046\u6280\u8853\u3092\u4f7f\u3063\u305f\u306e\u3067\u3059\u304c\u3001\u5b9f\u969b\u306b\u5c0e\u5165\u3057\u3066\u307f\u308b\u3068\u975e\u5e38\u306b\u52b9\u679c\u7684\u3060\u3063\u305f\u306e\u3067\u3001\u4eca\u56de\u306f\u5546\u54c1\u30de\u30b9\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092\u4f8b\u306b\u3053\u308c\u3089\u306e\u6280\u8853\u3092\u7528\u3044\u3066\u91cd\u8907\u691c\u51fa\u306e\u8ab2\u984c\u3092\u89e3\u6c7a\u3057\u305f\u8a71\u3092\u3057\u307e\u3059\u3002<\/p>\n<h2 id=\"\u60f3\u5b9a\u3059\u308b\u554f\u984c\">\u60f3\u5b9a\u3059\u308b\u554f\u984c<\/h2>\n<p>EC\u30b5\u30a4\u30c8\u306e\u5546\u54c1\u30de\u30b9\u30bf\u7ba1\u7406\u306b\u304a\u3044\u3066\u3001\u540c\u4e00\u5546\u54c1\u304c\u8907\u6570\u306e\u30ec\u30b3\u30fc\u30c9\u3068\u3057\u3066\u767b\u9332\u3055\u308c\u3066\u3057\u307e\u3046\u554f\u984c\u304c\u3042\u308b\u3068\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u7570\u306a\u308b\u4ed5\u5165\u5148\u304b\u3089\u306e\u5546\u54c1\u60c5\u5831\u3084\u3001\u30c7\u30fc\u30bf\u5165\u529b\u6642\u306e\u8868\u8a18\u63fa\u308c\u306a\u3069\u304c\u539f\u56e0\u3067\u8d77\u3053\u308a\u307e\u3059\u3002\u91cd\u8907\u3057\u305f\u5546\u54c1\u30c7\u30fc\u30bf\u306f\u5728\u5eab\u7ba1\u7406\u306e\u6df7\u4e71\u3084\u9867\u5ba2\u4f53\u9a13\u306e\u60aa\u5316\u3092\u62db\u304f\u305f\u3081\u3001\u6b63\u78ba\u306a\u91cd\u8907\u691c\u51fa\u3068\u7d71\u5408\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h3 id=\"\u91cd\u8907\u5224\u5b9a\u6761\u4ef6\">\u91cd\u8907\u5224\u5b9a\u6761\u4ef6<\/h3>\n<p>\u4eca\u56de\u306e\u5546\u54c1\u30de\u30b9\u30bf\u306e\u4f8b\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u3044\u305a\u308c\u304b\u306e\u6761\u4ef6\u3092\u6e80\u305f\u305b\u3070\u300c\u91cd\u8907\u300d\u3068\u307f\u306a\u3057\u307e\u3059\u3002<\/p>\n<ol>\n<li><strong>JAN\u30b3\u30fc\u30c9\u304c\u4e00\u81f4<\/strong>\uff1a<code>jan_code<\/code>\u304c\u540c\u3058<\/li>\n<li><strong>\u578b\u756a\u304c\u4e00\u81f4<\/strong>\uff1a<code>model_number<\/code>\u304c\u540c\u3058<\/li>\n<li><strong>\u30d6\u30e9\u30f3\u30c9\u540d + \u5bb9\u91cf\u304c\u4e00\u81f4<\/strong>\uff1a<code>brand<\/code>\u3068<code>capacity<\/code>\u306e\u7d44\u307f\u5408\u308f\u305b\u304c\u540c\u3058<\/li>\n<li><strong>\u30d6\u30e9\u30f3\u30c9\u540d + \u30e2\u30c7\u30eb\u540d\u304c\u4e00\u81f4<\/strong>\uff1a<code>brand<\/code>\u3068<code>model<\/code>\u306e\u7d44\u307f\u5408\u308f\u305b\u304c\u540c\u3058<\/li>\n<li><strong>\u30e2\u30c7\u30eb\u540d + \u5bb9\u91cf\u304c\u4e00\u81f4<\/strong>\uff1a<code>model<\/code>\u3068<code>capacity<\/code>\u306e\u7d44\u307f\u5408\u308f\u305b\u304c\u540c\u3058<\/li>\n<\/ol>\n<h3 id=\"\u524d\u63d0\u6761\u4ef6\">\u524d\u63d0\u6761\u4ef6<\/h3>\n<ul>\n<li><strong>null\u5024\u306e\u6271\u3044<\/strong>\uff1a<code>null<\/code>\u3084\u7a7a\u6587\u5b57\u5217\u306f\u91cd\u8907\u5224\u5b9a\u306e\u5bfe\u8c61\u5916\u3068\u3057\u307e\u3059\u3002\u3064\u307e\u308a\u3001<code>null == null<\/code>\u306f\u91cd\u8907\u3068\u306f\u307f\u306a\u3057\u307e\u305b\u3093<\/li>\n<li><strong>\u63a8\u79fb\u7684\u95a2\u4fc2<\/strong>\uff1a\u5546\u54c1A=\u5546\u54c1B\u3001\u5546\u54c1B=\u5546\u54c1C\u306e\u5834\u5408\u3001\u5546\u54c1A=\u5546\u54c1C\u3068\u3057\u3066\u6271\u3044\u307e\u3059<\/li>\n<\/ul>\n<h3 id=\"\u60f3\u5b9a\u30c7\u30fc\u30bf\u5224\u5b9a\u30d1\u30bf\u30fc\u30f3\">\u60f3\u5b9a\u30c7\u30fc\u30bf\u30fb\u5224\u5b9a\u30d1\u30bf\u30fc\u30f3<\/h3>\n<p>\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u5546\u54c1\u30c7\u30fc\u30bf\u3092\u4f8b\u306b\u8003\u3048\u307e\u3059\uff1a<\/p>\n<pre class=\"code\" data-lang=\"\" data-unlink=\"\">\u5546\u54c1A: {\n  jan_code: \"4901234567890\",\n  brand: \"TechCorp\",\n  model: \"SmartPhone X Pro\",\n  capacity: \"128GB\"\n}\n\n\u5546\u54c1B: {\n  jan_code: null,\n  brand: \"TechCorp\",\n  model: \"SmartPhone X Pro\",\n  capacity: \"128GB\"\n}\n\n\u5546\u54c1C: {\n  jan_code: null,\n  brand: \"TechCorp\",\n  model: \"SmartPhone X Pro\",\n  capacity: \"128GB\"\n}<\/pre>\n<p>\u3053\u306e\u5834\u5408\u3001\u5546\u54c1A\u30fbB\u30fbC\u306f\u5168\u3066\u300c\u30d6\u30e9\u30f3\u30c9\u540d+\u30e2\u30c7\u30eb\u540d\u304c\u4e00\u81f4\u300d\u306e\u6761\u4ef6\u306b\u3088\u308a\u91cd\u8907\u3068\u307f\u306a\u3055\u308c\u307e\u3059\u3002<\/p>\n<h2 id=\"\u91cd\u8907\u691c\u51fa\u306e\u57fa\u672c\u7684\u306a\u30a2\u30d7\u30ed\u30fc\u30c1\">\u91cd\u8907\u691c\u51fa\u306e\u57fa\u672c\u7684\u306a\u30a2\u30d7\u30ed\u30fc\u30c1<\/h2>\n<p>\u91cd\u8907\u3092\u691c\u51fa\u3059\u308b\u306b\u306f\u3001\u4ee5\u4e0b\u306e\u624b\u9806\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n<ol>\n<li><strong>\u91cd\u8907\u5224\u5b9a\u6761\u4ef6\u3092\u5b9a\u7fa9\u3059\u308b<\/strong>\uff1a\u3069\u306e\u3088\u3046\u306a\u6761\u4ef6\u3067\u300c\u91cd\u8907\u300d\u3068\u307f\u306a\u3059\u304b\u3092\u6c7a\u3081\u308b<\/li>\n<li><strong>\u30c7\u30fc\u30bf\u540c\u58eb\u3092\u6bd4\u8f03\u3059\u308b<\/strong>\uff1a2\u3064\u306e\u30c7\u30fc\u30bf\u304c\u91cd\u8907\u5224\u5b9a\u6761\u4ef6\u3092\u6e80\u305f\u3059\u304b\u30c1\u30a7\u30c3\u30af<\/li>\n<li><strong>\u5168\u3066\u306e\u30da\u30a2\u3092\u8abf\u3079\u308b<\/strong>\uff1a\u6f0f\u308c\u306a\u304f\u91cd\u8907\u3092\u691c\u51fa\u3059\u308b\u305f\u3081\u3001\u5168\u3066\u306e\u7d44\u307f\u5408\u308f\u305b\u3092\u8abf\u3079\u308b<\/li>\n<\/ol>\n<p>\u6700\u521d\u306f\u3001\u3053\u306e\u611a\u76f4\u306a\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u5b9f\u88c5\u3057\u3088\u3046\u3068\u8003\u3048\u3066\u3044\u307e\u3057\u305f\u3002<\/p>\n<pre class=\"code lang-ruby\" data-lang=\"ruby\" data-unlink=\"\">\nproducts = [\n  <span class=\"synType\">Product<\/span>.new(<span class=\"synConstant\">id<\/span>: <span class=\"synSpecial\">'<\/span><span class=\"synConstant\">1<\/span><span class=\"synSpecial\">'<\/span>, <span class=\"synConstant\">jan_code<\/span>: <span class=\"synSpecial\">'<\/span><span class=\"synConstant\">123<\/span><span class=\"synSpecial\">'<\/span>, <span class=\"synConstant\">brand<\/span>: <span class=\"synSpecial\">\"<\/span><span class=\"synConstant\">TechCorp<\/span><span class=\"synSpecial\">\"<\/span>),\n  <span class=\"synType\">Product<\/span>.new(<span class=\"synConstant\">id<\/span>: <span class=\"synSpecial\">'<\/span><span class=\"synConstant\">2<\/span><span class=\"synSpecial\">'<\/span>, <span class=\"synConstant\">jan_code<\/span>: <span class=\"synSpecial\">'<\/span><span class=\"synConstant\">456<\/span><span class=\"synSpecial\">'<\/span>, <span class=\"synConstant\">brand<\/span>: <span class=\"synSpecial\">\"<\/span><span class=\"synConstant\">TechCorp<\/span><span class=\"synSpecial\">\"<\/span>),\n  <span class=\"synType\">Product<\/span>.new(<span class=\"synConstant\">id<\/span>: <span class=\"synSpecial\">'<\/span><span class=\"synConstant\">3<\/span><span class=\"synSpecial\">'<\/span>, <span class=\"synConstant\">jan_code<\/span>: <span class=\"synSpecial\">'<\/span><span class=\"synConstant\">789<\/span><span class=\"synSpecial\">'<\/span>, <span class=\"synConstant\">brand<\/span>: <span class=\"synSpecial\">\"<\/span><span class=\"synConstant\">OtherCorp<\/span><span class=\"synSpecial\">\"<\/span>)\n]\n\nduplicate_groups = []\nproducts.each <span class=\"synStatement\">do<\/span> |product1|\n  products.each <span class=\"synStatement\">do<\/span> |product2|\n    <span class=\"synStatement\">next<\/span> <span class=\"synStatement\">if<\/span> product1.id == product2.id  \n    \n    <span class=\"synStatement\">if<\/span> product1.duplicate?(product2)\n      duplicate_groups end\n  <span class=\"synStatement\">end<\/span>\n<span class=\"synStatement\">end<\/span>\n\n\nputs duplicate_groups.flatten.uniq\n<\/pre>\n<p>\u3057\u304b\u3057\u3001\u5b9f\u969b\u306b\u691c\u8a0e\u3092\u9032\u3081\u308b\u4e2d\u3067\u3001\u4ee5\u4e0b\u306e2\u3064\u306e\u6df1\u523b\u306a\u8ab2\u984c\u306b\u76f4\u9762\u3057\u307e\u3057\u305f\u3002<\/p>\n<h2 id=\"\u76f4\u9762\u3057\u305f2\u3064\u306e\u8ab2\u984c\">\u76f4\u9762\u3057\u305f2\u3064\u306e\u8ab2\u984c<\/h2>\n<h3 id=\"\u8ab2\u984c1\u9593\u63a5\u7684\u306a\u91cd\u8907\u3092\u898b\u9003\u3057\u3066\u3057\u307e\u3046\">\u8ab2\u984c1\uff1a\u9593\u63a5\u7684\u306a\u91cd\u8907\u3092\u898b\u9003\u3057\u3066\u3057\u307e\u3046<\/h3>\n<h4 id=\"\u5177\u4f53\u4f8b\u3067\u898b\u308b\u9593\u63a5\u7684\u91cd\u8907\u306e\u554f\u984c\">\u5177\u4f53\u4f8b\u3067\u898b\u308b\u9593\u63a5\u7684\u91cd\u8907\u306e\u554f\u984c<\/h4>\n<pre class=\"code\" data-lang=\"\" data-unlink=\"\">\u5546\u54c1A: {\n  jan_code: \"4901234567890\",\n  brand: \"TechCorp\",\n  model: \"SmartPhone X Pro\",\n  capacity: \"128GB\"\n}\n\n\u5546\u54c1B: {\n  jan_code: null,\n  brand: \"TechCorp\",\n  model: \"SmartPhone X Pro\",\n  capacity: \"128GB\"\n}\n\n\u5546\u54c1C: {\n  jan_code: null,\n  brand: \"TechCorp\",\n  model: \"SmartPhone X Pro\",\n  capacity: \"128GB\"\n}<\/pre>\n<p><strong>\u5224\u5b9a\u7d50\u679c<\/strong>\uff1a<\/p>\n<ul>\n<li>\u5546\u54c1A \u2260 \u5546\u54c1B\uff1aJAN\u30b3\u30fc\u30c9\u4e0d\u4e00\u81f4\u3001\u30d6\u30e9\u30f3\u30c9\u540d+\u30e2\u30c7\u30eb\u540d\u304c\u4e00\u81f4 \u2192 <strong>\u91cd\u8907<\/strong><\/li>\n<li>\u5546\u54c1B \u2260 \u5546\u54c1C\uff1a\u30d6\u30e9\u30f3\u30c9\u540d+\u30e2\u30c7\u30eb\u540d\u304c\u4e00\u81f4 \u2192 <strong>\u91cd\u8907<\/strong><\/li>\n<li>\u5546\u54c1A \u2260 \u5546\u54c1C\uff1aJAN\u30b3\u30fc\u30c9\u4e0d\u4e00\u81f4\u3001\u30d6\u30e9\u30f3\u30c9\u540d+\u30e2\u30c7\u30eb\u540d\u304c\u4e00\u81f4 \u2192 <strong>\u91cd\u8907<\/strong><\/li>\n<\/ul>\n<p>\u3057\u304b\u3057\u3001\u5358\u7d14\u306b\u30da\u30a2\u540c\u58eb\u3092\u76f4\u63a5\u6bd4\u8f03\u3059\u308b\u3060\u3051\u3067\u306f\u3001\u5546\u54c1A\u3068\u5546\u54c1C\u306e\u9593\u63a5\u7684\u306a\u91cd\u8907\u3092\u691c\u51fa\u3067\u304d\u307e\u305b\u3093\u3002<\/p>\n<p><strong>\u672c\u6765\u306f \u5546\u54c1A=\u5546\u54c1B=\u5546\u54c1C \u3068\u3057\u3066\u6271\u3046\u3079\u304d\u306a\u306e\u306b\u3001\u9593\u63a5\u7684\u306a\u91cd\u8907\u95a2\u4fc2\u3092\u691c\u51fa\u3067\u304d\u306a\u3044\u306e\u3067\u3059\u3002<\/strong><\/p>\n<h3 id=\"\u8ab2\u984c2On\u306e\u8a08\u7b97\u91cf\u3067\u73fe\u5b9f\u7684\u3067\u306a\u3044\u51e6\u7406\u6642\u9593\">\u8ab2\u984c2\uff1aO(n\u00b2)\u306e\u8a08\u7b97\u91cf\u3067\u73fe\u5b9f\u7684\u3067\u306a\u3044\u51e6\u7406\u6642\u9593<\/h3>\n<p>\u5168\u3066\u306e\u7d44\u307f\u5408\u308f\u305b\u306b\u5bfe\u3057\u3066\u611a\u76f4\u306b\u91cd\u8907\u5224\u5b9a\u3092\u3059\u308b\u30a2\u30d7\u30ed\u30fc\u30c1\u3067\u306f\u3001\u30c7\u30fc\u30bf\u3092n\u4ef6\u3068\u3059\u308b\u3068\u7d44\u307f\u5408\u308f\u305b\u6570\u306f<\/p>\n<p><strong>n \u00d7 (n-1) \u00f7 2<\/strong><\/p>\n<p>\u3053\u308c\u306f<strong>O(n\u00b2)<\/strong>\u306e\u8a08\u7b97\u91cf\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u30c7\u30fc\u30bf\u4ef6\u6570\u306b\u5fdc\u3058\u305f\u6bd4\u8f03\u56de\u6570\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li><strong>1\u4e07\u4ef6<\/strong>: \u7d045000\u4e07\u56de\u306e\u6bd4\u8f03<\/li>\n<li><strong>10\u4e07\u4ef6<\/strong>: \u7d0450\u5104\u56de\u306e\u6bd4\u8f03<\/li>\n<li><strong>100\u4e07\u4ef6<\/strong>: \u7d045000\u5104\u56de\u306e\u6bd4\u8f03<\/li>\n<\/ul>\n<p>1\u56de\u306e\u6bd4\u8f03\u51e6\u7406\u306b\u304b\u304b\u308b\u6642\u9593\u304c\u308f\u305a\u304b\u3067\u3082\u300110\u4e07\u4ef6\u306e\u30c7\u30fc\u30bf\u3067\u306f\u51e6\u7406\u5b8c\u4e86\u307e\u3067\u81a8\u5927\u306a\u6642\u9593\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059\u3002\u5b9f\u969b\u306e\u91cd\u8907\u5224\u5b9a\u51e6\u7406\u306f\u3088\u308a\u8907\u96d1\u306a\u6761\u4ef6\u5224\u5b9a\u3092\u542b\u3080\u305f\u3081\u3001\u3055\u3089\u306b\u9577\u6642\u9593\u306e\u51e6\u7406\u304c\u5fc5\u8981\u3067\u3059\u3002<\/p>\n<p><strong>\u30c7\u30fc\u30bf\u91cf\u304c\u5897\u3048\u308b\u307b\u3069\u51e6\u7406\u6642\u9593\u304c\u4e8c\u6b21\u95a2\u6570\u7684\u306b\u5897\u52a0\u3059\u308b<\/strong>\u306e\u306f\u3001\u6df1\u523b\u306a\u554f\u984c\u3067\u3057\u305f\u3002<\/p>\n<p>\u3053\u306e2\u3064\u306e\u8ab2\u984c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306b\u9078\u629e\u3057\u305f\u6280\u8853\u304c\u3001<strong>UnionFind<\/strong>\u3068<strong>\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9<\/strong>\u3067\u3057\u305f\u3002<\/p>\n<p>\u7d50\u679c\u3068\u3057\u3066\u3001<strong>\u9593\u63a5\u91cd\u8907\u3082\u691c\u77e5\u3067\u304d\u308b\u3088\u3046\u306b\u3057\u3064\u3064\u3001\u8a08\u7b97\u91cf\u3092O(n\u00b2)\u304b\u3089O(n)\u306b\u6539\u5584<\/strong>\u3057\u3001<strong>\u5927\u5e45\u306a\u9ad8\u901f\u5316<\/strong>\u3092\u5b9f\u73fe\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<p>\u3053\u308c\u3089\u306e\u6539\u5584\u306b\u7528\u3044\u305f\u624b\u6cd5\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3059\u3002<\/p>\n<h2 id=\"\u8ab2\u984c1\u306e\u89e3\u6c7aUnionFind\u306b\u3088\u308b\u9593\u63a5\u7684\u91cd\u8907\u306e\u81ea\u52d5\u691c\u51fa\">\u8ab2\u984c1\u306e\u89e3\u6c7a\uff1aUnionFind\u306b\u3088\u308b\u9593\u63a5\u7684\u91cd\u8907\u306e\u81ea\u52d5\u691c\u51fa<\/h2>\n<h3 id=\"\u63a8\u79fb\u7684\u306a\u95a2\u4fc2\u3092\u624b\u52d5\u3067\u7ba1\u7406\u3059\u308b\u8907\u96d1\u3055\">\u63a8\u79fb\u7684\u306a\u95a2\u4fc2\u3092\u624b\u52d5\u3067\u7ba1\u7406\u3059\u308b\u8907\u96d1\u3055<\/h3>\n<p>\u9593\u63a5\u7684\u306a\u91cd\u8907\u3092\u691c\u51fa\u3059\u308b\u305f\u3081\u306b\u3001\u6700\u521d\u306f\u63a8\u79fb\u7684\u306a\u95a2\u4fc2\u3092\u624b\u52d5\u3067\u7ba1\u7406\u3057\u3088\u3046\u3068\u8003\u3048\u307e\u3057\u305f\u3002<\/p>\n<pre class=\"code lang-ruby\" data-lang=\"ruby\" data-unlink=\"\">\n<span class=\"synPreProc\">def<\/span> <span class=\"synIdentifier\">find_transitive_duplicates<\/span>(data)\n  direct_pairs = find_direct_duplicates(data)\n\n  \n  \n<span class=\"synPreProc\">end<\/span>\n<\/pre>\n<p>\u3057\u304b\u3057\u3001\u3053\u306e\u5b9f\u88c5\u306f\u8907\u96d1\u3059\u304e\u3066\u73fe\u5b9f\u7684\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3067\u3057\u305f\u3002<\/p>\n<h3 id=\"UnionFind\u30b0\u30eb\u30fc\u30d7\u5316\u554f\u984c\u306e\u6551\u4e16\u4e3b\">UnionFind\uff1a\u30b0\u30eb\u30fc\u30d7\u5316\u554f\u984c\u306e\u6551\u4e16\u4e3b<\/h3>\n<p>\u305d\u3093\u306a\u6642\u306b\u51fa\u4f1a\u3063\u305f\u306e\u304c<strong>UnionFind<\/strong>\u3068\u3044\u3046\u30c7\u30fc\u30bf\u69cb\u9020\u3067\u3057\u305f\u3002<\/p>\n<h4 id=\"UnionFind\u3068\u306f\">UnionFind\u3068\u306f\uff1f<\/h4>\n<p>UnionFind\u306f<strong>\u8981\u7d20\u3092\u30b0\u30eb\u30fc\u30d7\u306b\u5206\u3051\u3066\u7ba1\u7406\u3059\u308b<\/strong>\u3053\u3068\u306b\u7279\u5316\u3057\u305f\u30c7\u30fc\u30bf\u69cb\u9020\u3067\u3059\u3002<\/p>\n<p><strong>\u57fa\u672c\u7684\u306a\u64cd\u4f5c<\/strong>\uff1a<\/p>\n<ol>\n<li><strong>find(x)<\/strong>\uff1a\u8981\u7d20x\u304c\u5c5e\u3059\u308b\u30b0\u30eb\u30fc\u30d7\u306e\u4ee3\u8868\u5143\u3092\u53d6\u5f97<\/li>\n<li><strong>union(x, y)<\/strong>\uff1a\u8981\u7d20x\u3068y\u306e\u30b0\u30eb\u30fc\u30d7\u3092\u7d71\u5408<\/li>\n<li><strong>same(x, y)<\/strong>\uff1a\u8981\u7d20x\u3068y\u304c\u540c\u3058\u30b0\u30eb\u30fc\u30d7\u304b\u3092\u5224\u5b9a<\/li>\n<\/ol>\n<p>\u91cd\u8907\u691c\u51fa\u306b\u304a\u3051\u308b\u5a01\u529b\u3092\u7c21\u5358\u306a\u4f8b\u3067\u793a\u3059\u3068<\/p>\n<pre class=\"code lang-ruby\" data-lang=\"ruby\" data-unlink=\"\">\nuf = <span class=\"synType\">UnionFind<\/span>.new(<span class=\"synConstant\">3<\/span>)  \n\nuf.union(<span class=\"synConstant\">0<\/span>, <span class=\"synConstant\">1<\/span>)  \nuf.union(<span class=\"synConstant\">1<\/span>, <span class=\"synConstant\">2<\/span>)  \n\nuf.same?(<span class=\"synConstant\">0<\/span>, <span class=\"synConstant\">2<\/span>)  \n<\/pre>\n<p><strong>UnionFind\u304c\u89e3\u6c7a\u3057\u3066\u304f\u308c\u308b\u3053\u3068<\/strong>\uff1a<\/p>\n<ul>\n<li><strong>\u63a8\u79fb\u6027\u306e\u81ea\u52d5\u51e6\u7406<\/strong>\uff1aA=B\u3001B=C\u306a\u3089\u3070\u81ea\u52d5\u7684\u306bA=C\u3068\u306a\u308b<\/li>\n<li><strong>\u30b7\u30f3\u30d7\u30eb\u306a\u5b9f\u88c5<\/strong>\uff1a\u8907\u96d1\u306a\u6761\u4ef6\u5206\u5c90\u304c\u4e0d\u8981<\/li>\n<li><strong>\u9ad8\u901f\u306a\u64cd\u4f5c<\/strong>\uff1a\u9069\u5207\u306a\u6700\u9069\u5316\u306b\u3088\u308a\u5927\u91cf\u30c7\u30fc\u30bf\u3067\u3082\u9ad8\u901f\u51e6\u7406<\/li>\n<\/ul>\n<p>UnionFind\u306e\u8a73\u7d30\u306a\u5b9f\u88c5\u65b9\u6cd5\u3084\u7d4c\u8def\u5727\u7e2e\u30fb\u30e9\u30f3\u30af\u306b\u3088\u308b\u6700\u9069\u5316\u306b\u3064\u3044\u3066\u306f\u3001\u4ee5\u4e0b\u306e\u30b9\u30e9\u30a4\u30c9\u3067\u5206\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u3061\u3089\u306f\u793e\u5185LT\u3067\u4eca\u56de\u306e\u8a71\u3092\u767a\u8868\u3057\u305f\u969b\u306e\u30b9\u30e9\u30a4\u30c9\u306e\u4e00\u90e8\u3092\u629c\u7c8b\u3057\u305f\u3082\u306e\u3067\u3059\u3002<\/p>\n<p><iframe class=\"speakerdeck-iframe\" frameborder=\"0\" src=\"https:\/\/speakerdeck.com\/player\/5c66ab29a854421e921ff5a12d3c2f8a\" title=\"UnionFind\u3068\u306f\" allowfullscreen=\"true\" style=\"border: 0px; background: padding-box padding-box rgba(0, 0, 0, 0.1); margin: 0px; padding: 0px; border-radius: 6px; box-shadow: rgba(0, 0, 0, 0.2) 0px 5px 40px; width: 100%; height: auto; aspect-ratio: 560 \/ 315;\" data-ratio=\"1.7777777777777777\"><\/iframe><\/p>\n<p>\u3053\u308c\u3067\u9593\u63a5\u7684\u306a\u91cd\u8907\u306e\u554f\u984c\u306f\u4e00\u6c17\u306b\u89e3\u6c7a\u3057\u307e\u3057\u305f\u3002<\/p>\n<h2 id=\"\u8ab2\u984c2\u306e\u89e3\u6c7a\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306b\u3088\u308b\u8a08\u7b97\u91cf\u524a\u6e1b\">\u8ab2\u984c2\u306e\u89e3\u6c7a\uff1a\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306b\u3088\u308b\u8a08\u7b97\u91cf\u524a\u6e1b<\/h2>\n<h3 id=\"UnionFind\u3060\u3051\u3067\u306f\u89e3\u6c7a\u3057\u306a\u3044\u8a08\u7b97\u91cf\u554f\u984c\">UnionFind\u3060\u3051\u3067\u306f\u89e3\u6c7a\u3057\u306a\u3044\u8a08\u7b97\u91cf\u554f\u984c<\/h3>\n<p>UnionFind\u3067\u5b9f\u88c5\u306f\u7c21\u5358\u306b\u306a\u308a\u307e\u3057\u305f\u304c\u3001\u307e\u3060\u5168\u3066\u306e\u7d44\u307f\u5408\u308f\u305b\u3092\u6bd4\u8f03\u3057\u3066\u3044\u308b\u72b6\u6cc1\u306f\u5909\u308f\u308a\u307e\u305b\u3093\u3002<\/p>\n<p>10\u4e07\u4ef6 \u00d7 (10\u4e07-1) \u00f7 2 = <strong>\u7d0450\u5104\u56de\u306e\u6bd4\u8f03<\/strong><\/p>\n<p>\u3053\u308c\u3067\u306f\u51e6\u7406\u6642\u9593\u304c\u73fe\u5b9f\u7684\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n<h3 id=\"\u5024\u306e\u4e00\u81f4\u306b\u7740\u76ee\u3057\u305f\u52b9\u7387\u5316\u306e\u30a2\u30d7\u30ed\u30fc\u30c1\">\u5024\u306e\u4e00\u81f4\u306b\u7740\u76ee\u3057\u305f\u52b9\u7387\u5316\u306e\u30a2\u30d7\u30ed\u30fc\u30c1<\/h3>\n<p>\u3053\u3053\u3067\u91cd\u8981\u306a\u6c17\u3065\u304d\u304c\u3042\u308a\u307e\u3057\u305f\u3002<\/p>\n<p><strong>\u91cd\u8907\u6761\u4ef6\u306f\u4f55\u304b\u3057\u3089\u306e\u5024\u304c\u4e00\u81f4\u3059\u308b\u3053\u3068\u304c\u524d\u63d0<\/strong><\/p>\n<p>\u3053\u306e\u7279\u6027\u3092\u6d3b\u7528\u3059\u308c\u3070\u3001\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u3044\u3046\u624b\u6cd5\u3067\u8a08\u7b97\u91cf\u3092\u5287\u7684\u306b\u524a\u6e1b\u3067\u304d\u307e\u3059\u3002<\/p>\n<h3 id=\"\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u306f\">\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u306f\uff1f<\/h3>\n<p>\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306f\u3001<strong>\u5024\u304b\u3089\u8a72\u5f53\u3059\u308b\u30c7\u30fc\u30bf\u3092\u9ad8\u901f\u306b\u691c\u7d22\u3059\u308b<\/strong>\u305f\u3081\u306e\u30c7\u30fc\u30bf\u69cb\u9020\u3067\u3059\u3002<\/p>\n<p>\u8eab\u8fd1\u306a\u4f8b\u3067\u8aac\u660e\u3059\u308b\u3068\u3001<strong>\u8f9e\u66f8\u306e\u7d22\u5f15<\/strong>\u304c\u307e\u3055\u306b\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u3059\u3002<\/p>\n<p>\u4f8b\u3048\u3070\u3001\u8f9e\u66f8\u3067\u300c\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u300d\u3068\u3044\u3046\u5358\u8a9e\u306e\u610f\u5473\u3092\u8abf\u3079\u305f\u3044\u3068\u304d\u30012\u3064\u306e\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u65b9\u6cd51\uff1a\u5168\u63a2\u7d22\uff08\u975e\u52b9\u7387\uff09<\/strong><\/p>\n<ul>\n<li>1\u30da\u30fc\u30b8\u76ee\u304b\u3089\u9806\u756a\u306b\u3081\u304f\u3063\u3066\u300c\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u300d\u3068\u3044\u3046\u5358\u8a9e\u3092\u63a2\u3059<\/li>\n<li>\u6570\u767e\u30da\u30fc\u30b8\u3042\u308b\u8f9e\u66f8\u3067\u306f\u975e\u5e38\u306b\u6642\u9593\u304c\u304b\u304b\u308b<\/li>\n<\/ul>\n<p><strong>\u65b9\u6cd52\uff1a\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\uff08\u52b9\u7387\u7684\uff09<\/strong><\/p>\n<ul>\n<li>\u5dfb\u672b\u306e\u7d22\u5f15\u3067\u300c\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf \u2192 123\u30da\u30fc\u30b8\u300d\u3092\u78ba\u8a8d<\/li>\n<li>123\u30da\u30fc\u30b8\u3092\u76f4\u63a5\u958b\u3044\u3066\u77ac\u6642\u306b\u5358\u8a9e\u306e\u8aac\u660e\u3092\u898b\u3064\u3051\u308b<\/li>\n<\/ul>\n<p>\u3053\u306e\u7d22\u5f15\u3053\u305d\u304c\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u3059\u3002\u300c\u5358\u8a9e \u2192 \u30da\u30fc\u30b8\u6570\u300d\u3068\u3044\u3046\u95a2\u4fc2\u3092\u4e8b\u524d\u306b\u6574\u7406\u3057\u3066\u304a\u304f\u3053\u3068\u3067\u3001\u5168\u63a2\u7d22\u3059\u308b\u3053\u3068\u306a\u304f\u76ee\u7684\u306e\u60c5\u5831\u3092\u77ac\u6642\u306b\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u901a\u5e38\u306e\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u304c\u300c\u30c7\u30fc\u30bfID \u2192 \u5024\u300d\u306e\u95a2\u4fc2\u3092\u6301\u3064\u306e\u306b\u5bfe\u3057\u3001\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306f\u300c\u5024 \u2192 \u30c7\u30fc\u30bfID\u306e\u914d\u5217\u300d\u306e\u95a2\u4fc2\u3092\u6301\u3061\u307e\u3059\u3002<\/p>\n<p><strong>\u57fa\u672c\u7684\u306a\u4ed5\u7d44\u307f<\/strong>\u3002<\/p>\n<pre class=\"code lang-ruby\" data-lang=\"ruby\" data-unlink=\"\">\nreverse_index = {\n  <span class=\"synSpecial\">\"<\/span><span class=\"synConstant\">TechCorp<\/span><span class=\"synSpecial\">\"<\/span> =&gt; [\u5546\u54c1<span class=\"synType\">A<\/span>, \u5546\u54c1<span class=\"synType\">B<\/span>, \u5546\u54c1<span class=\"synType\">C<\/span>],     \n  <span class=\"synSpecial\">\"<\/span><span class=\"synConstant\">128GB<\/span><span class=\"synSpecial\">\"<\/span> =&gt; [\u5546\u54c1<span class=\"synType\">A<\/span>, \u5546\u54c1<span class=\"synType\">D<\/span>],              \n  <span class=\"synSpecial\">\"<\/span><span class=\"synConstant\">4901234567890<\/span><span class=\"synSpecial\">\"<\/span> =&gt; [\u5546\u54c1<span class=\"synType\">A<\/span>]              \n}\n<\/pre>\n<h3 id=\"\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306e\u5a01\u529b\">\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306e\u5a01\u529b<\/h3>\n<p>\u91cd\u8907\u691c\u51fa\u306b\u304a\u3044\u3066\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u304c\u767a\u63ee\u3059\u308b\u5a01\u529b\u306f\u4ee5\u4e0b\u306e\u901a\u308a\u3067\u3059\u3002<\/p>\n<ul>\n<li><strong>\u540c\u3058\u5024\u3092\u6301\u3064\u30c7\u30fc\u30bf\u3092\u77ac\u6642\u306b\u30b0\u30eb\u30fc\u30d7\u5316<\/strong>\uff1a\u30cf\u30c3\u30b7\u30e5\u306e\u30ad\u30fc\u304c\u540c\u3058\u30c7\u30fc\u30bf\u306f\u81ea\u52d5\u7684\u306b\u540c\u3058\u914d\u5217\u306b\u683c\u7d0d\u3055\u308c\u308b<\/li>\n<li><strong>\u6bd4\u8f03\u51e6\u7406\u306e\u5b8c\u5168\u306a\u6392\u9664<\/strong>\uff1a\u5024\u304c\u4e00\u81f4\u3059\u308b\u30c7\u30fc\u30bf\u540c\u58eb\u306f\u6bd4\u8f03\u4e0d\u8981\u3067\u91cd\u8907\u78ba\u5b9a<\/li>\n<li><strong>O(1)\u3067\u306e\u9ad8\u901f\u691c\u7d22<\/strong>\uff1a\u30cf\u30c3\u30b7\u30e5\u30c6\u30fc\u30d6\u30eb\u306b\u3088\u308a\u5b9a\u6570\u6642\u9593\u3067\u306e\u30a2\u30af\u30bb\u30b9\u304c\u53ef\u80fd<\/li>\n<\/ul>\n<p>\u3064\u307e\u308a\u3001\u5168\u3066\u306e\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u5224\u5b9a\u6761\u4ef6\u3068\u306a\u308b\u5024\u3092\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306e\u30cf\u30c3\u30b7\u30e5\u306b\u683c\u7d0d\u3059\u308c\u3070\u3001\u540c\u3058\u5024\u3092\u6301\u3064\u30c7\u30fc\u30bf\u306f\u81ea\u52d5\u7684\u306b\u540c\u3058\u30b0\u30eb\u30fc\u30d7\u306b\u5206\u985e\u3055\u308c\u307e\u3059\u3002<strong>\u6bd4\u8f03\u51e6\u7406\u305d\u306e\u3082\u306e\u304c\u4e0d\u8981<\/strong>\u306b\u306a\u308b\u306e\u3067\u3059\u3002<\/p>\n<h3 id=\"\u88dc\u8db3\u306a\u305cUnionFind\u3082\u5fc5\u8981\u306a\u306e\u304b\">\u88dc\u8db3\uff1a\u306a\u305cUnionFind\u3082\u5fc5\u8981\u306a\u306e\u304b<\/h3>\n<p>\u3053\u3053\u307e\u3067\u306e\u8aac\u660e\u3092\u8aad\u3093\u3067\u300c\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3060\u3051\u3067\u5341\u5206\u3067\u306f\uff1f\u300d\u3068\u601d\u308f\u308c\u308b\u65b9\u3082\u3044\u308b\u304b\u3082\u3057\u308c\u307e\u305b\u3093\u3002<\/p>\n<p>\u78ba\u304b\u306b\u3001<strong>\u91cd\u8907\u6761\u4ef6\u304c1\u3064\u3060\u3051\u3067\u3042\u308c\u3070\u3001UnionFind\u306f\u4e0d\u8981<\/strong>\u3067\u3059\u3002\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u540c\u3058\u5024\u3092\u6301\u3064\u30c7\u30fc\u30bf\u3092\u30b0\u30eb\u30fc\u30d7\u5316\u3059\u308b\u3060\u3051\u3067\u91cd\u8907\u691c\u51fa\u304c\u5b8c\u4e86\u3057\u307e\u3059\u3002<\/p>\n<p>\u3057\u304b\u3057\u3001\u4eca\u56de\u306e\u4f8b\u3067\u306f<strong>\u8907\u6570\u306e\u91cd\u8907\u6761\u4ef6<\/strong>\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li>JAN\u30b3\u30fc\u30c9\u304c\u4e00\u81f4<\/li>\n<li>\u578b\u756a\u304c\u4e00\u81f4<\/li>\n<li>\u30d6\u30e9\u30f3\u30c9\u540d+\u5bb9\u91cf\u304c\u4e00\u81f4<\/li>\n<li>\u30d6\u30e9\u30f3\u30c9\u540d+\u30e2\u30c7\u30eb\u540d\u304c\u4e00\u81f4<\/li>\n<li>\u30e2\u30c7\u30eb\u540d+\u5bb9\u91cf\u304c\u4e00\u81f4<\/li>\n<\/ul>\n<p>\u5404\u6761\u4ef6\u3067\u4f5c\u6210\u3055\u308c\u305f\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306f\u72ec\u7acb\u3057\u3066\u3044\u308b\u305f\u3081\u3001<strong>\u7570\u306a\u308b\u6761\u4ef6\u3067\u91cd\u8907\u3057\u305f\u30c7\u30fc\u30bf\u540c\u58eb\u3092\u7d71\u5408\u3059\u308b\u4ed5\u7d44\u307f<\/strong>\u304c\u5fc5\u8981\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u308c\u304cUnionFind\u306e\u5f79\u5272\u3067\u3059\u3002<\/p>\n<p>UnionFind\u306b\u3088\u308a\u3001\u300cJAN\u30b3\u30fc\u30c9\u3067\u91cd\u8907\u3057\u305f\u5546\u54c1A\u3068\u5546\u54c1B\u300d\u300c\u30d6\u30e9\u30f3\u30c9\u540d+\u30e2\u30c7\u30eb\u3067\u91cd\u8907\u3057\u305f\u5546\u54c1B\u3068\u5546\u54c1C\u300d\u3068\u3044\u3046\u60c5\u5831\u304b\u3089\u3001\u81ea\u52d5\u7684\u306b\u300c\u5546\u54c1A=\u5546\u54c1B=\u5546\u54c1C\u300d\u3068\u3044\u3046\u63a8\u79fb\u7684\u306a\u95a2\u4fc2\u3092\u5c0e\u51fa\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n<pre class=\"code lang-ruby\" data-lang=\"ruby\" data-unlink=\"\">\n\n\n\njan_index = {\n  <span class=\"synSpecial\">\"<\/span><span class=\"synConstant\">4901234567890<\/span><span class=\"synSpecial\">\"<\/span> =&gt; [\u5546\u54c1<span class=\"synType\">A<\/span>, \u5546\u54c1<span class=\"synType\">C<\/span>],    \n  <span class=\"synSpecial\">\"<\/span><span class=\"synConstant\">4901234567891<\/span><span class=\"synSpecial\">\"<\/span> =&gt; [\u5546\u54c1<span class=\"synType\">B<\/span>]           \n}\n\n\nbrand_model_index = {\n  <span class=\"synSpecial\">\"<\/span><span class=\"synConstant\">TechCorp:SmartPhone X Pro<\/span><span class=\"synSpecial\">\"<\/span> =&gt; [\u5546\u54c1<span class=\"synType\">A<\/span>, \u5546\u54c1<span class=\"synType\">B<\/span>, \u5546\u54c1<span class=\"synType\">C<\/span>],  \n  <span class=\"synSpecial\">\"<\/span><span class=\"synConstant\">OtherCorp:Device Y<\/span><span class=\"synSpecial\">\"<\/span> =&gt; [\u5546\u54c1<span class=\"synType\">D<\/span>]                      \n}\n\n\n[jan_index, brand_model_index, ...].each <span class=\"synStatement\">do<\/span> |index|\n  index.each_value <span class=\"synStatement\">do<\/span> |data_ids|\n    <span class=\"synStatement\">next<\/span> <span class=\"synStatement\">if<\/span> data_ids.size 2  \n\n    \n    data_ids.combination(<span class=\"synConstant\">2<\/span>).each <span class=\"synStatement\">do<\/span> |id1, id2|\n      union_find.union(id1, id2)\n    <span class=\"synStatement\">end<\/span>\n  <span class=\"synStatement\">end<\/span>\n<span class=\"synStatement\">end<\/span>\n<\/pre>\n<h3 id=\"\u8a08\u7b97\u91cf\u306e\u5287\u7684\u306a\u6539\u5584\">\u8a08\u7b97\u91cf\u306e\u5287\u7684\u306a\u6539\u5584<\/h3>\n<p>\u3053\u306e\u624b\u6cd5\u306b\u3088\u308a\u3001\u8a08\u7b97\u91cf\u304c<strong>O(n\u00b2) \u304b\u3089 O(n) \u306b\u6539\u5584<\/strong>\u3055\u308c\u307e\u3057\u305f\u3002<\/p>\n<ul>\n<li><strong>\u5f93\u6765<\/strong>\uff1a10\u4e07\u4ef6 \u00d7 10\u4e07\u4ef6 = 100\u5104\u56de\u306e\u51e6\u7406<\/li>\n<li><strong>\u6539\u5584\u5f8c<\/strong>\uff1a10\u4e07\u4ef6\u306e1\u56de\u305a\u3064\u306e\u51e6\u7406 = 10\u4e07\u56de\u306e\u51e6\u7406<\/li>\n<\/ul>\n<p><strong>\u5927\u5e45\u306a\u8a08\u7b97\u91cf\u524a\u6e1b<\/strong>\u3092\u5b9f\u73fe\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<h2 id=\"\u5b9f\u88c5\">\u5b9f\u88c5<\/h2>\n<p>UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u5b9f\u88c5\u306e\u6838\u5fc3\u90e8\u5206\u3092\u7d39\u4ecb\u3057\u307e\u3059\u3002<\/p>\n<h3 id=\"\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306e\u69cb\u7bc9\">\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306e\u69cb\u7bc9<\/h3>\n<pre class=\"code lang-ruby\" data-lang=\"ruby\" data-unlink=\"\">\n<span class=\"synType\">DUPLICATE_CONDITIONS<\/span> = [\n  <span class=\"synConstant\">:jan_code<\/span>,\n  <span class=\"synConstant\">:model_number<\/span>,\n  { <span class=\"synConstant\">name<\/span>: <span class=\"synConstant\">:brand_model<\/span>, <span class=\"synConstant\">fields<\/span>: [<span class=\"synConstant\">:brand<\/span>, <span class=\"synConstant\">:model<\/span>] },\n  { <span class=\"synConstant\">name<\/span>: <span class=\"synConstant\">:brand_capacity<\/span>, <span class=\"synConstant\">fields<\/span>: [<span class=\"synConstant\">:brand<\/span>, <span class=\"synConstant\">:capacity<\/span>] },\n  { <span class=\"synConstant\">name<\/span>: <span class=\"synConstant\">:model_capacity<\/span>, <span class=\"synConstant\">fields<\/span>: [<span class=\"synConstant\">:model<\/span>, <span class=\"synConstant\">:capacity<\/span>] }\n]\n\n\n<span class=\"synPreProc\">def<\/span> <span class=\"synIdentifier\">build_indexes<\/span>(entries)\n  indexes = {}\n\n  entries.each_with_index <span class=\"synStatement\">do<\/span> |entry, index|\n    <span class=\"synType\">DUPLICATE_CONDITIONS<\/span>.each <span class=\"synStatement\">do<\/span> |condition|\n      <span class=\"synStatement\">case<\/span> condition\n      <span class=\"synStatement\">when<\/span> <span class=\"synType\">Symbol<\/span>\n        \n        add_to_index(indexes, condition, entry[condition], index)\n      <span class=\"synStatement\">when<\/span> <span class=\"synType\">Hash<\/span>\n        \n        composite_value = condition[<span class=\"synConstant\">:fields<\/span>].map { |field| entry[field] }.compact.join(<span class=\"synSpecial\">'<\/span><span class=\"synConstant\">:<\/span><span class=\"synSpecial\">'<\/span>)\n        add_to_index(indexes, condition[<span class=\"synConstant\">:name<\/span>], composite_value, index)\n      <span class=\"synStatement\">end<\/span>\n    <span class=\"synStatement\">end<\/span>\n  <span class=\"synStatement\">end<\/span>\n\n  indexes\n<span class=\"synPreProc\">end<\/span>\n\n\n<span class=\"synPreProc\">def<\/span> <span class=\"synIdentifier\">add_to_index<\/span>(indexes, key, value, index)\n  <span class=\"synStatement\">return<\/span> <span class=\"synStatement\">if<\/span> value.nil? || value.to_s.strip.empty?\n\n  indexes[key] ||= {}\n  indexes[key][value] ||= []\n  indexes[key][value] end\n<\/pre>\n<h3 id=\"UnionFind\u3067\u306e\u7d71\u5408\u51e6\u7406\">UnionFind\u3067\u306e\u7d71\u5408\u51e6\u7406<\/h3>\n<pre class=\"code lang-ruby\" data-lang=\"ruby\" data-unlink=\"\">\n<span class=\"synPreProc\">def<\/span> <span class=\"synIdentifier\">group_duplicates<\/span>(entries, indexes)\n  union_find = <span class=\"synType\">UnionFind<\/span>.new(entries.size)\n\n  \n  indexes.each_value <span class=\"synStatement\">do<\/span> |value_map|\n    value_map.each_value <span class=\"synStatement\">do<\/span> |data_indices|\n      <span class=\"synStatement\">next<\/span> <span class=\"synStatement\">if<\/span> data_indices.size 2  \n\n      \n      data_indices.combination(<span class=\"synConstant\">2<\/span>).each <span class=\"synStatement\">do<\/span> |index1, index2|\n        union_find.union(index1, index2)\n      <span class=\"synStatement\">end<\/span>\n    <span class=\"synStatement\">end<\/span>\n  <span class=\"synStatement\">end<\/span>\n\n  union_find\n<span class=\"synPreProc\">end<\/span>\n<\/pre>\n<h3 id=\"\u30e1\u30a4\u30f3\u51e6\u7406\">\u30e1\u30a4\u30f3\u51e6\u7406<\/h3>\n<pre class=\"code lang-ruby\" data-lang=\"ruby\" data-unlink=\"\">\n<span class=\"synPreProc\">def<\/span> <span class=\"synIdentifier\">detect_duplicates<\/span>(entries)\n  \n  indexes = build_indexes(entries)\n\n  \n  union_find = group_duplicates(entries, indexes)\n\n  \n  groups = {}\n  entries.each_with_index <span class=\"synStatement\">do<\/span> |entry, index|\n    root = union_find.find(index)\n    groups[root] ||= []\n    groups[root] end\n\n  \n  groups.values.select { |group| group.size &gt; <span class=\"synConstant\">1<\/span> }\n<span class=\"synPreProc\">end<\/span>\n<\/pre>\n<p>\u3053\u306e\u5b9f\u88c5\u306b\u3088\u308a\u3001<strong>O(n\u00b2)\u306e\u5168\u4ef6\u6bd4\u8f03\u304b\u3089O(n)\u306e\u52b9\u7387\u7684\u306a\u51e6\u7406<\/strong>\u306b\u6539\u5584\u3055\u308c\u307e\u3057\u305f\u3002\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u540c\u3058\u5024\u3092\u6301\u3064\u30c7\u30fc\u30bf\u3092\u76f4\u63a5\u30b0\u30eb\u30fc\u30d7\u5316\u3057\u3001UnionFind\u3067\u63a8\u79fb\u7684\u306a\u95a2\u4fc2\u3092\u81ea\u52d5\u51e6\u7406\u3059\u308b\u3053\u3068\u3067\u3001\u5927\u91cf\u30c7\u30fc\u30bf\u3067\u3082\u9ad8\u901f\u306a\u91cd\u8907\u691c\u51fa\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h2 id=\"\u307e\u3068\u3081\">\u307e\u3068\u3081<\/h2>\n<p>\u4eca\u56de\u7d39\u4ecb\u3057\u305fUnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3092\u7d44\u307f\u5408\u308f\u305b\u305f\u624b\u6cd5\u306b\u3088\u308a\u3001\u91cd\u8907\u691c\u51fa\u51e6\u7406\u306e2\u3064\u306e\u8ab2\u984c\u3092\u89e3\u6c7a\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<ol>\n<li><strong>\u9593\u63a5\u7684\u91cd\u8907\u306e\u81ea\u52d5\u691c\u51fa<\/strong>\uff1aUnionFind\u306e\u63a8\u79fb\u6027\u306b\u3088\u308a\u3001\u5546\u54c1A=\u5546\u54c1B\u3001\u5546\u54c1B=\u5546\u54c1C\u304b\u3089\u81ea\u52d5\u7684\u306b\u5546\u54c1A=\u5546\u54c1C\u304c\u5c0e\u51fa\u3055\u308c\u308b<\/li>\n<li><strong>\u8a08\u7b97\u91cf\u306e\u5287\u7684\u6539\u5584<\/strong>\uff1a\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u306b\u3088\u308a\u3001O(n\u00b2)\u304b\u3089O(n)\u3078\u306e\u6539\u5584\u3092\u5b9f\u73fe<\/li>\n<\/ol>\n<p>\u3053\u306e\u624b\u6cd5\u306f\u3001\u9867\u5ba2\u30c7\u30fc\u30bf\u7d71\u5408\u3084\u5546\u54c1\u30de\u30b9\u30bf\u7d71\u5408\u306a\u3069\u3001\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u691c\u51fa\u304c\u5fc5\u8981\u306a\u5834\u9762\u3067\u5a01\u529b\u3092\u767a\u63ee\u3057\u307e\u3059\u3002\u7279\u306b\u3001\u8907\u6570\u306e\u5224\u5b9a\u6761\u4ef6\u3092\u6301\u3064\u8907\u96d1\u306a\u91cd\u8907\u95a2\u4fc2\u3084\u3001\u63a8\u79fb\u7684\u306a\u95a2\u4fc2\u3092\u6271\u3046\u5fc5\u8981\u304c\u3042\u308b\u5834\u5408\u306b\u6709\u52b9\u3067\u3059\u3002<\/p>\n<p>\u91cd\u8981\u306a\u306e\u306f\u3001\u554f\u984c\u3092\u300c\u6bd4\u8f03\u554f\u984c\u300d\u3067\u306f\u306a\u304f\u300c\u30b0\u30eb\u30fc\u30d7\u5316\u554f\u984c\u300d\u3068\u3057\u3066\u6349\u3048\u76f4\u3059\u3053\u3068\u3067\u3057\u305f\u3002\u3053\u306e\u8996\u70b9\u306e\u8ee2\u63db\u306b\u3088\u308a\u3001\u9069\u5207\u306a\u30c7\u30fc\u30bf\u69cb\u9020\u3068\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u9078\u629e\u304c\u53ef\u80fd\u306b\u306a\u308a\u3001\u5b9f\u7528\u7684\u306a\u51e6\u7406\u6642\u9593\u3067\u306e\u5927\u91cf\u30c7\u30fc\u30bf\u51e6\u7406\u3092\u5b9f\u73fe\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<hr\/>\n<p>Techouse\u3067\u306f\u3001\u793e\u4f1a\u8ab2\u984c\u306e\u89e3\u6c7a\u306b\u4e00\u7dd2\u306b\u53d6\u308a\u7d44\u3080\u30a8\u30f3\u30b8\u30cb\u30a2\u3092\u52df\u96c6\u3057\u3066\u304a\u308a\u307e\u3059\u3002<br \/>\n\u3054\u5fdc\u52df\u304a\u5f85\u3061\u3057\u3066\u304a\u308a\u307e\u3059\u3002<\/p>\n<p><iframe src=\"https:\/\/hatenablog-parts.com\/embed?url=https%3A%2F%2Fjp.techouse.com%2Fjobs%2F16\" title=\"\u682a\u5f0f\u4f1a\u793eTechouse | \u30c6\u30c3\u30af\u30ea\u30fc\u30c9\" class=\"embed-card embed-webcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 155px; max-width: 500px; margin: 10px 0px;\" loading=\"lazy\"><\/iframe><cite class=\"hatena-citation\"><a target=\"_blank\" href=\"https:\/\/jp.techouse.com\/jobs\/16\">jp.techouse.com<\/a><\/cite><\/p>\n<\/div>\n<p><script>(function(d, s, id) {\n  var js, fjs = d.getElementsByTagName(s)[0];\n  if (d.getElementById(id)) return;\n  js = d.createElement(s); js.id = id;\n  js.src = \"\/\/connect.facebook.net\/ja_JP\/sdk.js#xfbml=1&appId=719729204785177&version=v17.0\";\n  fjs.parentNode.insertBefore(js, fjs);\n}(document, 'script', 'facebook-jssdk'));<\/script><br \/>\n<br \/>\n<br \/><a href=\"https:\/\/developers.techouse.com\/entry\/union-find\">\u5143\u306e\u8a18\u4e8b\u3092\u78ba\u8a8d\u3059\u308b <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"\u5148\u65e5\u3001\u696d\u52d9\u3067\u91cd\u8907\u5224\u5b9a\u3092\u5b9f\u88c5\u3059\u308b\u6a5f\u4f1a\u304c\u3042\u308a\u307e\u3057\u305f\u3002\u305d\u306e\u4e2d\u3067UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u3044\u3046\u6280\u8853\u3092\u4f7f\u3063\u305f\u306e\u3067\u3059\u304c\u3001\u5b9f\u969b\u306b\u5c0e\u5165\u3057\u3066\u307f\u308b\u3068\u975e\u5e38\u306b\u52b9\u679c\u7684\u3060\u3063\u305f\u306e\u3067\u3001\u4eca\u56de\u306f\u5546\u54c1\u30de\u30b9\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092\u4f8b\u306b\u3053\u308c\u3089\u306e\u6280\u8853\u3092\u7528\u3044\u3066\u91cd [&hellip;]","protected":false},"author":1,"featured_media":8329,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[2],"tags":[],"class_list":["post-8328","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-hatena-blog"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u5287\u7684\u306b\u9ad8\u901f\u5316\u3057\u305f\u8a71 - Techouse Developers Blog - \u30dd\u30b1\u30b3\u30f3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/developers.techouse.com\/entry\/union-find\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u5287\u7684\u306b\u9ad8\u901f\u5316\u3057\u305f\u8a71 - Techouse Developers Blog - \u30dd\u30b1\u30b3\u30f3\" \/>\n<meta property=\"og:description\" content=\"\u5148\u65e5\u3001\u696d\u52d9\u3067\u91cd\u8907\u5224\u5b9a\u3092\u5b9f\u88c5\u3059\u308b\u6a5f\u4f1a\u304c\u3042\u308a\u307e\u3057\u305f\u3002\u305d\u306e\u4e2d\u3067UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u3044\u3046\u6280\u8853\u3092\u4f7f\u3063\u305f\u306e\u3067\u3059\u304c\u3001\u5b9f\u969b\u306b\u5c0e\u5165\u3057\u3066\u307f\u308b\u3068\u975e\u5e38\u306b\u52b9\u679c\u7684\u3060\u3063\u305f\u306e\u3067\u3001\u4eca\u56de\u306f\u5546\u54c1\u30de\u30b9\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092\u4f8b\u306b\u3053\u308c\u3089\u306e\u6280\u8853\u3092\u7528\u3044\u3066\u91cd [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/developers.techouse.com\/entry\/union-find\" \/>\n<meta property=\"og:site_name\" content=\"\u30dd\u30b1\u30b3\u30f3\" \/>\n<meta property=\"article:published_time\" content=\"2025-10-06T05:30:55+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/pokecon.jp\/job\/wp-content\/uploads\/2025\/10\/http3A2F2Fres.cloudinary.com2Fdyjw65doo2Fimage2Fupload2Fv17563434212Funion-find2Fogp.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1300\" \/>\n\t<meta property=\"og:image:height\" content=\"683\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"info@pokecon.jp\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u57f7\u7b46\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"info@pokecon.jp\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593\" \/>\n\t<meta name=\"twitter:data2\" content=\"3\u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/developers.techouse.com\\\/entry\\\/union-find#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/8328\\\/\"},\"author\":{\"name\":\"info@pokecon.jp\",\"@id\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/#\\\/schema\\\/person\\\/16c9f07b1ba984d165d9aee259bda997\"},\"headline\":\"\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u5287\u7684\u306b\u9ad8\u901f\u5316\u3057\u305f\u8a71 &#8211; Techouse Developers Blog\",\"datePublished\":\"2025-10-06T05:30:55+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/8328\\\/\"},\"wordCount\":118,\"image\":{\"@id\":\"https:\\\/\\\/developers.techouse.com\\\/entry\\\/union-find#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/wp-content\\\/uploads\\\/2025\\\/10\\\/http3A2F2Fres.cloudinary.com2Fdyjw65doo2Fimage2Fupload2Fv17563434212Funion-find2Fogp.png\",\"articleSection\":[\"\u306f\u3066\u306a\u30d6\u30ed\u30b0\"],\"inLanguage\":\"ja\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/8328\\\/\",\"url\":\"https:\\\/\\\/developers.techouse.com\\\/entry\\\/union-find\",\"name\":\"\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u5287\u7684\u306b\u9ad8\u901f\u5316\u3057\u305f\u8a71 - Techouse Developers Blog - \u30dd\u30b1\u30b3\u30f3\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/developers.techouse.com\\\/entry\\\/union-find#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/developers.techouse.com\\\/entry\\\/union-find#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/wp-content\\\/uploads\\\/2025\\\/10\\\/http3A2F2Fres.cloudinary.com2Fdyjw65doo2Fimage2Fupload2Fv17563434212Funion-find2Fogp.png\",\"datePublished\":\"2025-10-06T05:30:55+00:00\",\"author\":{\"@id\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/#\\\/schema\\\/person\\\/16c9f07b1ba984d165d9aee259bda997\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/developers.techouse.com\\\/entry\\\/union-find#breadcrumb\"},\"inLanguage\":\"ja\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/developers.techouse.com\\\/entry\\\/union-find\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"ja\",\"@id\":\"https:\\\/\\\/developers.techouse.com\\\/entry\\\/union-find#primaryimage\",\"url\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/wp-content\\\/uploads\\\/2025\\\/10\\\/http3A2F2Fres.cloudinary.com2Fdyjw65doo2Fimage2Fupload2Fv17563434212Funion-find2Fogp.png\",\"contentUrl\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/wp-content\\\/uploads\\\/2025\\\/10\\\/http3A2F2Fres.cloudinary.com2Fdyjw65doo2Fimage2Fupload2Fv17563434212Funion-find2Fogp.png\",\"width\":1300,\"height\":683},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/developers.techouse.com\\\/entry\\\/union-find#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u30db\u30fc\u30e0\",\"item\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u5287\u7684\u306b\u9ad8\u901f\u5316\u3057\u305f\u8a71 &#8211; Techouse Developers Blog\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/#website\",\"url\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/\",\"name\":\"\u30dd\u30b1\u30b3\u30f3\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"ja\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/#\\\/schema\\\/person\\\/16c9f07b1ba984d165d9aee259bda997\",\"name\":\"info@pokecon.jp\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"ja\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/2b0549cd9f7907c092ca5fbb283baf72337f235726e4b46fa39ec0b701ac2fe2?s=96&d=wavatar&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/2b0549cd9f7907c092ca5fbb283baf72337f235726e4b46fa39ec0b701ac2fe2?s=96&d=wavatar&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/2b0549cd9f7907c092ca5fbb283baf72337f235726e4b46fa39ec0b701ac2fe2?s=96&d=wavatar&r=g\",\"caption\":\"info@pokecon.jp\"},\"url\":\"https:\\\/\\\/pokecon.jp\\\/job\\\/author\\\/infopokecon-jp\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u5287\u7684\u306b\u9ad8\u901f\u5316\u3057\u305f\u8a71 - Techouse Developers Blog - \u30dd\u30b1\u30b3\u30f3","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/developers.techouse.com\/entry\/union-find","og_locale":"ja_JP","og_type":"article","og_title":"\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u5287\u7684\u306b\u9ad8\u901f\u5316\u3057\u305f\u8a71 - Techouse Developers Blog - \u30dd\u30b1\u30b3\u30f3","og_description":"\u5148\u65e5\u3001\u696d\u52d9\u3067\u91cd\u8907\u5224\u5b9a\u3092\u5b9f\u88c5\u3059\u308b\u6a5f\u4f1a\u304c\u3042\u308a\u307e\u3057\u305f\u3002\u305d\u306e\u4e2d\u3067UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3068\u3044\u3046\u6280\u8853\u3092\u4f7f\u3063\u305f\u306e\u3067\u3059\u304c\u3001\u5b9f\u969b\u306b\u5c0e\u5165\u3057\u3066\u307f\u308b\u3068\u975e\u5e38\u306b\u52b9\u679c\u7684\u3060\u3063\u305f\u306e\u3067\u3001\u4eca\u56de\u306f\u5546\u54c1\u30de\u30b9\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092\u4f8b\u306b\u3053\u308c\u3089\u306e\u6280\u8853\u3092\u7528\u3044\u3066\u91cd [&hellip;]","og_url":"https:\/\/developers.techouse.com\/entry\/union-find","og_site_name":"\u30dd\u30b1\u30b3\u30f3","article_published_time":"2025-10-06T05:30:55+00:00","og_image":[{"width":1300,"height":683,"url":"https:\/\/pokecon.jp\/job\/wp-content\/uploads\/2025\/10\/http3A2F2Fres.cloudinary.com2Fdyjw65doo2Fimage2Fupload2Fv17563434212Funion-find2Fogp.png","type":"image\/png"}],"author":"info@pokecon.jp","twitter_card":"summary_large_image","twitter_misc":{"\u57f7\u7b46\u8005":"info@pokecon.jp","\u63a8\u5b9a\u8aad\u307f\u53d6\u308a\u6642\u9593":"3\u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/developers.techouse.com\/entry\/union-find#article","isPartOf":{"@id":"https:\/\/pokecon.jp\/job\/8328\/"},"author":{"name":"info@pokecon.jp","@id":"https:\/\/pokecon.jp\/job\/#\/schema\/person\/16c9f07b1ba984d165d9aee259bda997"},"headline":"\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u5287\u7684\u306b\u9ad8\u901f\u5316\u3057\u305f\u8a71 &#8211; Techouse Developers Blog","datePublished":"2025-10-06T05:30:55+00:00","mainEntityOfPage":{"@id":"https:\/\/pokecon.jp\/job\/8328\/"},"wordCount":118,"image":{"@id":"https:\/\/developers.techouse.com\/entry\/union-find#primaryimage"},"thumbnailUrl":"https:\/\/pokecon.jp\/job\/wp-content\/uploads\/2025\/10\/http3A2F2Fres.cloudinary.com2Fdyjw65doo2Fimage2Fupload2Fv17563434212Funion-find2Fogp.png","articleSection":["\u306f\u3066\u306a\u30d6\u30ed\u30b0"],"inLanguage":"ja"},{"@type":"WebPage","@id":"https:\/\/pokecon.jp\/job\/8328\/","url":"https:\/\/developers.techouse.com\/entry\/union-find","name":"\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u5287\u7684\u306b\u9ad8\u901f\u5316\u3057\u305f\u8a71 - Techouse Developers Blog - \u30dd\u30b1\u30b3\u30f3","isPartOf":{"@id":"https:\/\/pokecon.jp\/job\/#website"},"primaryImageOfPage":{"@id":"https:\/\/developers.techouse.com\/entry\/union-find#primaryimage"},"image":{"@id":"https:\/\/developers.techouse.com\/entry\/union-find#primaryimage"},"thumbnailUrl":"https:\/\/pokecon.jp\/job\/wp-content\/uploads\/2025\/10\/http3A2F2Fres.cloudinary.com2Fdyjw65doo2Fimage2Fupload2Fv17563434212Funion-find2Fogp.png","datePublished":"2025-10-06T05:30:55+00:00","author":{"@id":"https:\/\/pokecon.jp\/job\/#\/schema\/person\/16c9f07b1ba984d165d9aee259bda997"},"breadcrumb":{"@id":"https:\/\/developers.techouse.com\/entry\/union-find#breadcrumb"},"inLanguage":"ja","potentialAction":[{"@type":"ReadAction","target":["https:\/\/developers.techouse.com\/entry\/union-find"]}]},{"@type":"ImageObject","inLanguage":"ja","@id":"https:\/\/developers.techouse.com\/entry\/union-find#primaryimage","url":"https:\/\/pokecon.jp\/job\/wp-content\/uploads\/2025\/10\/http3A2F2Fres.cloudinary.com2Fdyjw65doo2Fimage2Fupload2Fv17563434212Funion-find2Fogp.png","contentUrl":"https:\/\/pokecon.jp\/job\/wp-content\/uploads\/2025\/10\/http3A2F2Fres.cloudinary.com2Fdyjw65doo2Fimage2Fupload2Fv17563434212Funion-find2Fogp.png","width":1300,"height":683},{"@type":"BreadcrumbList","@id":"https:\/\/developers.techouse.com\/entry\/union-find#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u30db\u30fc\u30e0","item":"https:\/\/pokecon.jp\/job\/"},{"@type":"ListItem","position":2,"name":"\u5927\u91cf\u30c7\u30fc\u30bf\u306e\u91cd\u8907\u691c\u51fa\u3092UnionFind\u3068\u9006\u5f15\u304d\u30a4\u30f3\u30c7\u30c3\u30af\u30b9\u3067\u5287\u7684\u306b\u9ad8\u901f\u5316\u3057\u305f\u8a71 &#8211; Techouse Developers Blog"}]},{"@type":"WebSite","@id":"https:\/\/pokecon.jp\/job\/#website","url":"https:\/\/pokecon.jp\/job\/","name":"\u30dd\u30b1\u30b3\u30f3","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/pokecon.jp\/job\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"ja"},{"@type":"Person","@id":"https:\/\/pokecon.jp\/job\/#\/schema\/person\/16c9f07b1ba984d165d9aee259bda997","name":"info@pokecon.jp","image":{"@type":"ImageObject","inLanguage":"ja","@id":"https:\/\/secure.gravatar.com\/avatar\/2b0549cd9f7907c092ca5fbb283baf72337f235726e4b46fa39ec0b701ac2fe2?s=96&d=wavatar&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/2b0549cd9f7907c092ca5fbb283baf72337f235726e4b46fa39ec0b701ac2fe2?s=96&d=wavatar&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/2b0549cd9f7907c092ca5fbb283baf72337f235726e4b46fa39ec0b701ac2fe2?s=96&d=wavatar&r=g","caption":"info@pokecon.jp"},"url":"https:\/\/pokecon.jp\/job\/author\/infopokecon-jp\/"}]}},"_links":{"self":[{"href":"https:\/\/pokecon.jp\/job\/wp-json\/wp\/v2\/posts\/8328","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pokecon.jp\/job\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pokecon.jp\/job\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pokecon.jp\/job\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pokecon.jp\/job\/wp-json\/wp\/v2\/comments?post=8328"}],"version-history":[{"count":1,"href":"https:\/\/pokecon.jp\/job\/wp-json\/wp\/v2\/posts\/8328\/revisions"}],"predecessor-version":[{"id":8330,"href":"https:\/\/pokecon.jp\/job\/wp-json\/wp\/v2\/posts\/8328\/revisions\/8330"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pokecon.jp\/job\/wp-json\/wp\/v2\/media\/8329"}],"wp:attachment":[{"href":"https:\/\/pokecon.jp\/job\/wp-json\/wp\/v2\/media?parent=8328"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pokecon.jp\/job\/wp-json\/wp\/v2\/categories?post=8328"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pokecon.jp\/job\/wp-json\/wp\/v2\/tags?post=8328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}