A new idea to solve RMQ problem

Revision en2, by FeS2_qwq, 2024-08-15 10:42:25

A few days ago I post an idea at a Chinese Online Judge named Luogu.This is my first idea created by myself to solve RMQ problem. Unfortunately it's Chinese.The basic idea is divide the array into $$$n^\frac{4}{7}$$$ part,each part has a length of $$$n^\frac{3}{7}$$$.We name it as a "big block".Then we divide each block into $$$n^\frac{2}{7}$$$ part,each part has a length of $$$n^\frac{1}{7}$$$.Thus it can has a time complexity of $$$O(n^\frac{7}{8})$$$.It is quicker than ST Table both in theory and practice.

To be continued...

Tags rmq, new algo, algorithms, data structures

History

 
 
 
 
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  Rev. Lang. By When Δ Comment
en28 English FeS2_qwq 2024-09-11 14:51:19 5 Change Title
en27 English FeS2_qwq 2024-09-11 14:18:37 99
en26 English FeS2_qwq 2024-09-11 05:52:08 451
en25 English FeS2_qwq 2024-09-10 16:46:55 129
en24 English FeS2_qwq 2024-09-10 16:15:30 9 Tiny change: 'to be $O(\alpha(n)\log n)$\n' -> 'to be $O(\log n)$\n'
en23 English zhaoyuebo 2024-09-10 13:45:49 7 Tiny change: '](https://mirror.codeforces' -> '](https://codeforces'
en22 English FeS2_qwq 2024-09-10 13:43:04 37 Tiny change: 'e it here.\n\nFeS2_q' -> 'e it here.It is seem to be $O(\alpha(n)\log n)$\n\nFeS2_q'
en21 English FeS2_qwq 2024-09-10 13:42:32 2 Tiny change: ':sometime U will thin' -> ':sometime I will thin'
en20 English FeS2_qwq 2024-09-10 13:42:11 73
en19 English zhaoyuebo 2024-09-04 06:16:26 16 Tiny change: 'ond idea.AWAK there is ' -> 'ond idea.As we all know there is '
en18 English zhaoyuebo 2024-09-04 06:14:07 1 Tiny change: 'alpha(n))$\n\nFeS2_q' -> 'alpha(n))$.\n\nFeS2_q'
en17 English FeS2_qwq 2024-08-19 09:11:31 1 Tiny change: 'there is a algo call' -> 'there is an algo call'
en16 English FeS2_qwq 2024-08-16 11:35:24 1 Tiny change: 'sh.It is a algo of $' -> 'sh.It is an algo of $'
en15 English FeS2_qwq 2024-08-16 11:21:37 0 (published)
en14 English FeS2_qwq 2024-08-16 11:20:17 126 (saved to drafts)
en13 English FeS2_qwq 2024-08-16 10:00:36 0 (published)
en12 English FeS2_qwq 2024-08-16 10:00:24 4 Tiny change: 'O(n^\frac{7}{8})$.It is ' -> 'O(n^\frac{8}{7})$.It is ' (saved to drafts)
en11 English FeS2_qwq 2024-08-16 09:53:58 0 (published)
en10 English FeS2_qwq 2024-08-16 09:53:45 0 (saved to drafts)
en9 English FeS2_qwq 2024-08-16 09:47:00 0 (published)
en8 English FeS2_qwq 2024-08-16 09:46:45 65 (saved to drafts)
en7 English FeS2_qwq 2024-08-16 09:44:11 0 (published)
en6 English FeS2_qwq 2024-08-16 09:43:48 2 Tiny change: 'f $O(n\alpga(n))$\n\n' -> 'f $O(n\alpha(n))$\n\n'
en5 English FeS2_qwq 2024-08-16 09:43:26 31 Tiny change: 'ed,finish.\n\nFeS2_q' -> 'ed,finish.It is a algo of $O(n\alpga(n))$\n\nFeS2_q'
en4 English FeS2_qwq 2024-08-16 09:42:29 919
en3 English FeS2_qwq 2024-08-16 09:10:51 454
en2 English FeS2_qwq 2024-08-15 10:42:25 22 Tiny change: 'ctice.\n\n' -> 'ctice.\n\nTo be continued...\n\n'
en1 English FeS2_qwq 2024-08-15 10:40:47 530 Initial revision (saved to drafts)