{"id":44287,"date":"2023-10-31T16:01:02","date_gmt":"2023-11-13T06:29:17","guid":{"rendered":"https:\/\/www.silicloud.com\/zh\/blog\/%e4%bd%bf%e7%94%a8golang%e7%bc%96%e5%86%99%e5%b9%b6%e5%ae%9e%e7%8e%b0unionfind%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84%e3%80%82\/"},"modified":"2024-05-04T06:53:22","modified_gmt":"2024-05-03T22:53:22","slug":"%e4%bd%bf%e7%94%a8golang%e7%bc%96%e5%86%99%e5%b9%b6%e5%ae%9e%e7%8e%b0unionfind%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84%e3%80%82","status":"publish","type":"post","link":"https:\/\/www.silicloud.com\/zh\/blog\/%e4%bd%bf%e7%94%a8golang%e7%bc%96%e5%86%99%e5%b9%b6%e5%ae%9e%e7%8e%b0unionfind%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84%e3%80%82\/","title":{"rendered":"\u4f7f\u7528Golang\u7f16\u5199\u5e76\u5b9e\u73b0UnionFind\u6570\u636e\u7ed3\u6784"},"content":{"rendered":"<h1>\u9996\u5148<\/h1>\n<p>\u5728\u8868\u8fbe\u8868\u793a\u7d20\u96c6\u5408\u6570\u636e\u7ed3\u6784\u65f6\uff0cUnion-Find\u975e\u5e38\u65b9\u4fbf\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u5c06\u4f7f\u7528Go\u8bed\u8a00\u521b\u5efaUnion-Find\u3002\u8bf7\u6ce8\u610f\uff0c\u6211\u4eec\u4e0d\u4f1a\u7279\u522b\u63d0\u53caUnion-Find\u672c\u8eab\u3002<\/p>\n<h1>\u9700\u8981\u4ec0\u4e48\u529f\u80fd<\/h1>\n<p>\u6211\u8ba4\u4e3a\u4ee5\u4e0b\u529f\u80fd\u662f\u5fc5\u8981\u7684\u3002<\/p>\n<ul class=\"post-ul\">\n<li style=\"list-style-type: none;\">\n<ul class=\"post-ul\">\u3042\u308b\u8981\u7d20a\u306e\u6240\u5c5e\u3059\u308b\u30b0\u30eb\u30fc\u30d7\u3092\u8fd4\u3059<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul class=\"post-ul\">\n<li style=\"list-style-type: none;\">\n<ul class=\"post-ul\">\u3042\u308b\u8981\u7d20a\u306e\u6240\u5c5e\u3059\u308b\u30b0\u30eb\u30fc\u30d7\u5185\u306e\u8981\u7d20\u6570(\u6728\u306e\u30b5\u30a4\u30ba)\u3092\u8fd4\u3059<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul class=\"post-ul\">\n<li style=\"list-style-type: none;\">\n<ul class=\"post-ul\">\u3042\u308b\u8981\u7d20a\u306e\u6240\u5c5e\u3059\u308b[\u30b0\u30eb\u30fc\u30d7A] \u3068 \u3042\u308b\u8981\u7d20b\u306e\u6240\u5c5e\u3059\u308b[\u30b0\u30eb\u30fc\u30d7B] \u3092\u5408\u4f53\u3059\u308b<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<ul class=\"post-ul\">\u3042\u308b\u8981\u7d20a\u3068\u3042\u308b\u8981\u7d20b\u304c\u540c\u3058\u30b0\u30eb\u30fc\u30d7\u306b\u6240\u5c5e\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u8fd4\u3059<\/ul>\n<h1>\u6267\u884c<\/h1>\n<p>\u8ba9\u6211\u4eec\u521b\u5efa\u4e00\u4e2a\u5177\u6709\u4e0a\u8ff0\u529f\u80fd\u7684\u7ed3\u6784\u4f53\u3002<\/p>\n<pre class=\"post-pre\"><code><span class=\"k\">type<\/span> <span class=\"n\">UnionFind<\/span> <span class=\"k\">struct<\/span> <span class=\"p\">{<\/span>\r\n    <span class=\"n\">par<\/span> <span class=\"p\">[]<\/span><span class=\"kt\">int<\/span>\r\n<span class=\"p\">}<\/span>\r\n\r\n<span class=\"c\">\/* \u30b3\u30f3\u30b9\u30c8\u30e9\u30af\u30bf *\/<\/span>\r\n<span class=\"k\">func<\/span> <span class=\"n\">newUnionFind<\/span><span class=\"p\">(<\/span><span class=\"n\">N<\/span> <span class=\"kt\">int<\/span><span class=\"p\">)<\/span> <span class=\"o\">*<\/span><span class=\"n\">UnionFind<\/span> <span class=\"p\">{<\/span>\r\n    <span class=\"n\">u<\/span> <span class=\"o\">:=<\/span> <span class=\"nb\">new<\/span><span class=\"p\">(<\/span><span class=\"n\">UnionFind<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">par<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">make<\/span><span class=\"p\">([]<\/span><span class=\"kt\">int<\/span><span class=\"p\">,<\/span> <span class=\"n\">N<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"o\">:=<\/span> <span class=\"k\">range<\/span> <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">par<\/span> <span class=\"p\">{<\/span>\r\n        <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">par<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"o\">-<\/span><span class=\"m\">1<\/span>\r\n    <span class=\"p\">}<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">u<\/span>\r\n<span class=\"p\">}<\/span>\r\n\r\n<span class=\"c\">\/* x\u306e\u6240\u5c5e\u3059\u308b\u30b0\u30eb\u30fc\u30d7\u3092\u8fd4\u3059 *\/<\/span>\r\n<span class=\"k\">func<\/span> <span class=\"p\">(<\/span><span class=\"n\">u<\/span> <span class=\"n\">UnionFind<\/span><span class=\"p\">)<\/span> <span class=\"n\">root<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span> <span class=\"kt\">int<\/span><span class=\"p\">)<\/span> <span class=\"kt\">int<\/span> <span class=\"p\">{<\/span>\r\n    <span class=\"k\">if<\/span> <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">par<\/span><span class=\"p\">[<\/span><span class=\"n\">x<\/span><span class=\"p\">]<\/span> <span class=\"o\">&lt;<\/span> <span class=\"m\">0<\/span> <span class=\"p\">{<\/span>\r\n        <span class=\"k\">return<\/span> <span class=\"n\">x<\/span>\r\n    <span class=\"p\">}<\/span>\r\n    <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">par<\/span><span class=\"p\">[<\/span><span class=\"n\">x<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">root<\/span><span class=\"p\">(<\/span><span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">par<\/span><span class=\"p\">[<\/span><span class=\"n\">x<\/span><span class=\"p\">])<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">par<\/span><span class=\"p\">[<\/span><span class=\"n\">x<\/span><span class=\"p\">]<\/span>\r\n<span class=\"p\">}<\/span>\r\n\r\n<span class=\"c\">\/* x\u306e\u6240\u5c5e\u3059\u308b\u30b0\u30eb\u30fc\u30d7 \u3068 y\u306e\u6240\u5c5e\u3059\u308b\u30b0\u30eb\u30fc\u30d7 \u3092\u5408\u4f53\u3059\u308b *\/<\/span>\r\n<span class=\"k\">func<\/span> <span class=\"p\">(<\/span><span class=\"n\">u<\/span> <span class=\"n\">UnionFind<\/span><span class=\"p\">)<\/span> <span class=\"n\">unite<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span> <span class=\"kt\">int<\/span><span class=\"p\">)<\/span> <span class=\"p\">{<\/span>\r\n    <span class=\"n\">xr<\/span> <span class=\"o\">:=<\/span> <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">root<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">yr<\/span> <span class=\"o\">:=<\/span> <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">root<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"k\">if<\/span> <span class=\"n\">xr<\/span> <span class=\"o\">==<\/span> <span class=\"n\">yr<\/span> <span class=\"p\">{<\/span>\r\n        <span class=\"k\">return<\/span>\r\n    <span class=\"p\">}<\/span>\r\n    <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">par<\/span><span class=\"p\">[<\/span><span class=\"n\">yr<\/span><span class=\"p\">]<\/span> <span class=\"o\">+=<\/span> <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">par<\/span><span class=\"p\">[<\/span><span class=\"n\">xr<\/span><span class=\"p\">]<\/span>\r\n    <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">par<\/span><span class=\"p\">[<\/span><span class=\"n\">xr<\/span><span class=\"p\">]<\/span> <span class=\"o\">=<\/span> <span class=\"n\">yr<\/span>\r\n<span class=\"p\">}<\/span>\r\n\r\n<span class=\"c\">\/* x\u3068y\u304c\u540c\u3058\u30b0\u30eb\u30fc\u30d7\u306b\u6240\u5c5e\u3059\u308b\u304b\u3069\u3046\u304b\u3092\u8fd4\u3059 *\/<\/span>\r\n<span class=\"k\">func<\/span> <span class=\"p\">(<\/span><span class=\"n\">u<\/span> <span class=\"n\">UnionFind<\/span><span class=\"p\">)<\/span> <span class=\"n\">same<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">,<\/span> <span class=\"n\">y<\/span> <span class=\"kt\">int<\/span><span class=\"p\">)<\/span> <span class=\"kt\">bool<\/span> <span class=\"p\">{<\/span>\r\n    <span class=\"k\">if<\/span> <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">root<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)<\/span> <span class=\"o\">==<\/span> <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">root<\/span><span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"p\">)<\/span> <span class=\"p\">{<\/span>\r\n        <span class=\"k\">return<\/span> <span class=\"no\">true<\/span>\r\n    <span class=\"p\">}<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"no\">false<\/span>\r\n<span class=\"p\">}<\/span>\r\n\r\n<span class=\"c\">\/* x\u306e\u6240\u5c5e\u3059\u308b\u30b0\u30eb\u30fc\u30d7\u306e\u6728\u306e\u5927\u304d\u3055\u3092\u8fd4\u3059 *\/<\/span>\r\n<span class=\"k\">func<\/span> <span class=\"p\">(<\/span><span class=\"n\">u<\/span> <span class=\"n\">UnionFind<\/span><span class=\"p\">)<\/span> <span class=\"n\">size<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span> <span class=\"kt\">int<\/span><span class=\"p\">)<\/span> <span class=\"kt\">int<\/span> <span class=\"p\">{<\/span>\r\n    <span class=\"k\">return<\/span> <span class=\"o\">-<\/span><span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">par<\/span><span class=\"p\">[<\/span><span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">root<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"p\">)]<\/span>\r\n<span class=\"p\">}<\/span>\r\n\r\n<\/code><\/pre>\n<h1>\u5229\u7528 (l\u00ec &#8211; utilize\/ make use of<\/h1>\n<pre class=\"post-pre\"><code><span class=\"k\">func<\/span> <span class=\"n\">main<\/span><span class=\"p\">()<\/span> <span class=\"p\">{<\/span>\r\n    <span class=\"c\">\/\/ \u30a4\u30f3\u30b9\u30bf\u30f3\u30b9\u306e\u751f\u6210<\/span>\r\n    <span class=\"n\">u<\/span> <span class=\"o\">:=<\/span> <span class=\"n\">newUnionFind<\/span><span class=\"p\">(<\/span><span class=\"n\">N<\/span><span class=\"p\">)<\/span>\r\n\r\n    <span class=\"c\">\/\/ \u5404\u30e1\u30bd\u30c3\u30c9\u306e\u5229\u7528<\/span>\r\n    <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">unite<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">same<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">,<\/span> <span class=\"n\">b<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">size<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">)<\/span>\r\n    <span class=\"n\">u<\/span><span class=\"o\">.<\/span><span class=\"n\">root<\/span><span class=\"p\">(<\/span><span class=\"n\">a<\/span><span class=\"p\">)<\/span>\r\n<span class=\"p\">}<\/span>\r\n<\/code><\/pre>\n<h1>\u5173\u4e8e\u5185\u5bb9<\/h1>\n<p>\u5bb6\u5ead\u6811\u6728\u7684\u8981\u7d20\u4e2d\uff0c\u5982\u679c\u5c06\u8be5\u6811\u7684\u5927\u5c0f\u8868\u793a\u4e3aN\uff0c\u5219\u7236\u8282\u70b9\u7684\u503c\u4e3a$N \\times (-1)$\uff0c\u5b50\u8282\u70b9\u7684\u503c\u5219\u662f\u5176\u6240\u5c5e\u6811\u6728\u7684\u7236\u8282\u70b9\u7684\u503c\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u5982\u679c\u5143\u7d20\u662f\u8d1f\u6570\uff0c\u90a3\u4e48\u53ef\u4ee5\u786e\u5b9a\u5b83\u662f\u7236\u8282\u70b9\uff0c\u5e76\u5c06\u5176\u8f6c\u6362\u56de\u6b63\u6570\u4ee5\u5f97\u5230\u8be5\u6811\u7684\u5927\u5c0f\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u9996\u5148 \u5728\u8868\u8fbe\u8868\u793a\u7d20\u96c6\u5408\u6570\u636e\u7ed3\u6784\u65f6\uff0cUnion-Find\u975e\u5e38\u65b9\u4fbf\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u5c06\u4f7f\u7528Go\u8bed\u8a00\u521b\u5efaUnion-Fi [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-44287","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v21.5 (Yoast SEO v21.5) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4f7f\u7528Golang\u7f16\u5199\u5e76\u5b9e\u73b0UnionFind\u6570\u636e\u7ed3\u6784 - Blog - Silicon Cloud<\/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:\/\/www.silicloud.com\/zh\/blog\/\u4f7f\u7528golang\u7f16\u5199\u5e76\u5b9e\u73b0unionfind\u6570\u636e\u7ed3\u6784\u3002\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4f7f\u7528Golang\u7f16\u5199\u5e76\u5b9e\u73b0UnionFind\u6570\u636e\u7ed3\u6784\" \/>\n<meta property=\"og:description\" content=\"\u9996\u5148 \u5728\u8868\u8fbe\u8868\u793a\u7d20\u96c6\u5408\u6570\u636e\u7ed3\u6784\u65f6\uff0cUnion-Find\u975e\u5e38\u65b9\u4fbf\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u5c06\u4f7f\u7528Go\u8bed\u8a00\u521b\u5efaUnion-Fi [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.silicloud.com\/zh\/blog\/\u4f7f\u7528golang\u7f16\u5199\u5e76\u5b9e\u73b0unionfind\u6570\u636e\u7ed3\u6784\u3002\/\" \/>\n<meta property=\"og:site_name\" content=\"Blog - Silicon Cloud\" \/>\n<meta property=\"article:published_time\" content=\"2023-11-13T06:29:17+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-05-03T22:53:22+00:00\" \/>\n<meta name=\"author\" content=\"\u79d1, \u96c5\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u79d1, \u96c5\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 \u5206\" \/>\n<script type=\"application\/ld+json\" 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