{"html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Finfo.atcoder.jp%2Fentry%2Falgorithm_lectures%2Fstatic_range_product\" title=\"\u9759\u7684\u306a\u5217\u306e\u533a\u9593\u7a4d\u30af\u30a8\u30ea - AtCoderInfo\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>","description":"1. \u6982\u8981 \u672c\u8a18\u4e8b\u3067\u306f Sqrt Tree \u306a\u3069\u306b\u7d9a\u304d\uff0c\u518d\u3073\u9759\u7684\u306a\u30e2\u30ce\u30a4\u30c9\u5217\u306b\u5bfe\u3059\u308b\u533a\u9593\u7a4d\u30af\u30a8\u30ea\u306e\u554f\u984c\u3092\u6271\u3044\u307e\u3059\uff0e \u7279\u306b\uff0c\u9577\u3055 $N$ \u306e\u5217\u306b\u3064\u3044\u3066 $\\mathrm{O}(N)$ \u6642\u9593\u306e\u4e8b\u524d\u8a08\u7b97\u3092\u524d\u63d0\u3068\u3057\u305f\u5834\u5408\uff0c\u30af\u30a8\u30ea\u3042\u305f\u308a $\\mathrm{O}(\\alpha(N))$ \u6642\u9593\uff08$\\alpha(N)$ \u306f\u9006\u30a2\u30c3\u30ab\u30fc\u30de\u30f3\u95a2\u6570\uff09\u3067\u306e\u8a08\u7b97\u304c\u53ef\u80fd\u3067\uff0c\u3053\u306e\u3053\u3068\u306e\u89e3\u8aac\u304c\u672c\u8a18\u4e8b\u306e\u4e3b\u76ee\u6a19\u3067\u3059\uff0e\u30a2\u30a4\u30c7\u30a2\u3068\u3057\u3066\u306f\uff0cSqrt Tree \u306e\u5358\u7d14\u306a\u4e00\u822c\u5316\u306b\u3042\u305f\u308b\u306e\u3067\uff0cSqrt Tree \u306b\u3064\u3044\u3066\u7406\u89e3\u3057\u3066\u3044\u308c\u3070\u672c\u8a18\u4e8b\u306e\u5185\u5bb9\u3082\u7406\u89e3\u3057\u3084\u3059\u3044\u3068\u601d\u3044\u307e\u3059\uff0e \u7af6\u6280\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u306b\u304a\u3044\u3066 $\\alpha(N)$ \u304c\u8a08\u7b97\u91cf\u89e3\u6790\u306b\u767b\u5834\u2026","provider_name":"Hatena Blog","image_url":"https://cdn.user.blog.st-hatena.com/default_entry_og_image/158934417/1702097020779738","author_url":"https://blog.hatena.ne.jp/atcoder/","blog_title":"AtCoderInfo","blog_url":"https://info.atcoder.jp/","url":"https://info.atcoder.jp/entry/algorithm_lectures/static_range_product","type":"rich","height":"190","author_name":"atcoder","title":"\u9759\u7684\u306a\u5217\u306e\u533a\u9593\u7a4d\u30af\u30a8\u30ea","version":"1.0","width":"100%","categories":["\u30c7\u30fc\u30bf\u69cb\u9020","\u533a\u9593\u30af\u30a8\u30ea","Disjoint Sparse Table","Sqrt Tree","\u9006\u30a2\u30c3\u30ab\u30fc\u30de\u30f3\u95a2\u6570","\u30e2\u30ce\u30a4\u30c9"],"published":"2026-04-10 14:09:56","provider_url":"https://hatena.blog"}