也就是说对于修改操作,实际上是每减小一个势能用了O(logn)O(logn)的代价。 考虑修改操作,每次只会修改O(logn)O(logn)节点,最多使势能增加O(logn)O(logn)所以总复杂度是O(nlog2n)O(nlog2n)。 code: Codeforces 1290 E /*program by mangoyang*/#pragmaGCC optimize("Ofast","...
Segment Tree Beats are a really cool, and fairly advanced, modification you can make to segment trees in order to handle range-min-with queries. I talk about what they are and why they work inEpisode 4 of AlgorithmsThread. Feel free to comment any questions about what I covered in the c...
所以我们使用 Segment Tree Beats 维护区间 minmin、区间加、全局和即可,O(nlog2n)O(nlog2n)。#include<iostream> #define rep(i,a,b) for(int i = (a); i <= (b); i++) #define per(i,b,a) for(int i = (b); i >= (a); i--) #define N 160000 #define Inf 0x3f3f3f3f...
The only variant that stands out a bit is the segment tree beats, because unlike other variants of the segment tree its running time is amortized. Maybe a name like "amortized segment tree" would have been more sound than the current one. At least, it would reflect the main difference ...
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浅谈近期用到的segment tree beats technology Segment Tree beatsSegment Tree beats是势能线段树的全称,泛指这种在某些情况下打tag,在某些情况暴力子树,复杂度通过势能分析证明的线段树。 主要用途:区间取min/maxmin/max, 区间开根号 , 区间除xx取整 之类不易打tag处理的区间操作。
[数据结构]Segment tree(线段树) Segment tree(线段树) 1.线段树的结构和思想 线段树基本结构 简单操作 1.单点修改:时间复杂度O(log n),因为线段树高是O(log n)的,然后会修改这个点到根的路径上的点权,所以是O(log n)的。 2.区间查询(比如:最小值)...
Segment Tree Beats https://www.luogu.com.cn/problem/P6242 【模板】线段树 3(区间最值操作、区间历史最值) // 另见 Kinetic Tournament 树 (KTT) https://www.luogu.com.cn/problem/P5693 // https://www.luogu.com.cn/problem/P10587 // GCD https://codeforces.com/problemset/...
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