{"image_url":"https://cdn.user.blog.st-hatena.com/default_entry_og_image/158934417/1702097020779738","width":"100%","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Finfo.atcoder.jp%2Fentry%2Falgorithm_lectures%2Funionfind_complexity\" title=\"Union-Find \u306e\u8a08\u7b97\u91cf\u4e0a\u754c - AtCoderInfo\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","type":"rich","provider_name":"Hatena Blog","blog_title":"AtCoderInfo","description":"1. \u6982\u8981 \u672c\u8a18\u4e8b\u3067\u306f\uff0cUnion-Find \u306e\u8a08\u7b97\u91cf\u304c $\\mathrm{O}\\left(N+Q\\alpha(N)\\right)$ \u3067\u3042\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u3092\u8a3c\u660e\u3057\u307e\u3059\uff0e \u3053\u306e\u4e8b\u5b9f\u306f\u7af6\u6280\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u30e6\u30fc\u30b6\u30fc\u306e\u591a\u304f\u304c\u77e5\u3063\u3066\u3044\u308b\u975e\u5e38\u306b\u6709\u540d\u306a\u3082\u306e\u3060\u3068\u601d\u3044\u307e\u3059\u304c\uff0cUnion-Find \u306e\u57fa\u790e\u7684\u306a\u52d5\u4f5c\u539f\u7406\u3084\uff0c\u8a08\u7b97\u91cf $\\mathrm{O}(N+Q\\log N)$ \u3067\u3042\u308b\u3053\u3068\u306e\u7406\u89e3\u306b\u6bd4\u3079\u3066\u975e\u5e38\u306b\u96e3\u3057\u304f\u306a\u308b\u305f\u3081\uff0c\u591a\u304f\u306e\u89e3\u8aac\u3067\u3082\u7701\u7565\u3055\u308c\u3066\u304a\u308a\uff0c\u8a3c\u660e\u3092\u5b66\u3093\u3060\u3053\u3068\u304c\u306a\u3044\u30e6\u30fc\u30b6\u30fc\u3082\u304b\u306a\u308a\u591a\u3044\u3068\u601d\u3044\u307e\u3059\uff0e\u305c\u3072\u3053\u306e\u6a5f\u4f1a\u306b\u5b66\u3093\u3067\u307f\u3066\u304f\u3060\u3055\u3044\uff0e 2. \u524d\u63d0\u77e5\u8b58 Union-Find \u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u57fa\u672c\u7684\u306a\u4ed5\u7d44\u307f\u3092\u7406\u89e3\u3057\u3066\u3044\u308b\u2026","author_url":"https://blog.hatena.ne.jp/atcoder/","url":"https://info.atcoder.jp/entry/algorithm_lectures/unionfind_complexity","provider_url":"https://hatena.blog","blog_url":"https://info.atcoder.jp/","categories":["\u30c7\u30fc\u30bf\u69cb\u9020","\u30b0\u30e9\u30d5\u7406\u8ad6","\u9023\u7d50\u6027","Union-Find","\u30a2\u30c3\u30ab\u30fc\u30de\u30f3\u95a2\u6570","\u9006\u30a2\u30c3\u30ab\u30fc\u30de\u30f3\u95a2\u6570"],"title":"Union-Find \u306e\u8a08\u7b97\u91cf\u4e0a\u754c","height":"190","author_name":"atcoder","published":"2026-04-10 14:09:15","version":"1.0"}