{"type":"rich","image_url":"https://cdn.user.blog.st-hatena.com/default_entry_og_image/158934417/1702097020779738","description":"1. \u6982\u8981 \u672c\u8a18\u4e8b\u3067\u306f\uff0c\u9759\u7684\u306a\u5217\u306b\u5bfe\u3059\u308b\u533a\u9593\u30af\u30a8\u30ea\u3092\u9ad8\u901f\u306b\u51e6\u7406\u3059\u308b\u30c7\u30fc\u30bf\u69cb\u9020\u3067\u3042\u308b Disjoint Sparse Table \uff08DST \u3068\u7565\u8a18\u3059\u308b\u3053\u3068\u3082\u3042\u308a\u307e\u3059\uff09\u3092\u89e3\u8aac\u3057\u307e\u3059\uff0e Disjoint Sparse Table \u306f\uff0c\u9577\u3055 $N$ \u306e\u5217\u306b\u5bfe\u3057\u3066\u4e8b\u524d\u8a08\u7b97 $\\mathrm{O}(N\\log N)$ \u6642\u9593\u3092\u884c\u3046\u3053\u3068\u3067\uff0c\u30e2\u30ce\u30a4\u30c9\u306b\u5bfe\u3059\u308b\u533a\u9593\u7a4d\u30af\u30a8\u30ea\u3092\u30af\u30a8\u30ea\u3042\u305f\u308a $\\mathrm{O}(1)$ \u6642\u9593\u3067\u51e6\u7406\u3059\u308b\u30c7\u30fc\u30bf\u69cb\u9020\u3067\u3059\uff0e \u540c\u69d8\u306e\u8a08\u7b97\u91cf\u306f\u30b9\u30d1\u30fc\u30b9\u30c6\u30fc\u30d6\u30eb\u3067\u3082\u9054\u6210\u3067\u304d\u307e\u3057\u305f\u304c\uff0c\u30b9\u30d1\u30fc\u30b9\u30c6\u30fc\u30d6\u30eb\u304c\u9069\u7528\u3067\u304d\u308b\u306e\u306f\u4e8c\u9805\u6f14\u7b97\u304c\u3079\u304d\u7b49\u306a\u5834\u5408\uff08$\\min$\uff0c$\\max$\uff0c$\\gcd$ \u306a\u3069\uff09\u306b\u9650\u3089\u308c\u3066\u2026","categories":["\u30c7\u30fc\u30bf\u69cb\u9020","\u30b9\u30d1\u30fc\u30b9\u30c6\u30fc\u30d6\u30eb","Disjoint Sparse Table","\u533a\u9593\u30af\u30a8\u30ea","\u30e2\u30ce\u30a4\u30c9"],"width":"100%","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Finfo.atcoder.jp%2Fentry%2Falgorithm_lectures%2Fdisjoint_sparse_table\" title=\"Disjoint Sparse Table - AtCoderInfo\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","url":"https://info.atcoder.jp/entry/algorithm_lectures/disjoint_sparse_table","blog_url":"https://info.atcoder.jp/","author_url":"https://blog.hatena.ne.jp/atcoder/","blog_title":"AtCoderInfo","provider_name":"Hatena Blog","provider_url":"https://hatena.blog","version":"1.0","height":"190","published":"2026-04-10 14:16:31","author_name":"atcoder","title":"Disjoint Sparse Table"}