You are given a tree with N nodes. The tree nodes are numbered from 1 to N and have colors C1, C2,. . . , CN initially. You have to handle M instructions on the tree of the following forms:• 0 u c: Change the color of node u to c.• 1 u v: Output the…

原文链接https://www.cnblogs.com/zhouzhendong/p/LuoguP4482.html 题意 给定一个字符串 S,有 q 次询问,每次给定两个数 L,R ,求 S[L...R] 的最长前后缀. $$q,|S|\leq 2 \times 10 ^ 5$$ 题解 真是一道有趣的字符串题. 首先我们给 S 建出 SAM ,并用线段树合并预处理出每一个节点的 Right 集合. 我们要做的是找到最大的 $p$ 满足 $p<R, S[L...p] = S[R-p+L...R]…

1369 - Answering Queries   PDF (English) Statistics Forum Time Limit: 3 second(s) Memory Limit: 32 MB The problem you need to solve here is pretty simple. You are give a function f(A, n), where A is an array of integers and n is the number of element…

题目传送门 题目大意: 给定一颗根节点为1的树,有两种操作,第一种操作是将与根节点距离为L的节点权值全部加上val,第二个操作是查询以x为根节点的子树的权重. 思路: 思考后发现,以dfs序建立树状数组,方便查询,不方便修改,以bfs序建立树状数组,方便修改,不方便查询. 在计算子树权重的时候发现,如果我能算出 所有层 属于这棵子树的  点数*对应层需要加上的val,那么就得到了这棵树的总权重.但是显然暴力统计点数会超时,于是我们把用一个分块的想法,对于一层来说,如果这层的总点数小于块的大小,就…

1369 - Answering Queries    PDF (English) Statistics Forum Time Limit: 3 second(s) Memory Limit: 32 MB The problem you need to solve here is pretty simple. You are give a function f(A, n), where A is an array of integers and n is the number of elemen…

D. Happy Tree Party     Bogdan has a birthday today and mom gave him a tree consisting of n vertecies. For every edge of the tree i, some number xi was written on it. In case you forget, a tree is a connected non-directed graph without cycles. After…

Problem Description For a sequence S1, S2, ... , SN, and a pair of integers (i, j), if 1 <= i <= j <= N and Si < Si+1 < Si+2 < ... < Sj-1 < Sj , then the sequence Si, Si+1, ... , Sj is a CIS(Continuous Increasing Subsequence). The…

GSS7Can you answer these queries VII 给出一棵树,树的节点有权值,有两种操作: 1.询问节点x,y的路径上最大子段和,可以为空 2.把节点x,y的路径上所有节点的权值置为c 分析: 修改树路径的信息,可以考虑一下树链剖分.动态树. 这题可以用树链剖分的方式来做,不会的可以看看这篇 树链剖分---模板.其实树链剖分不难理解,一小时左右就能学会了. 对于在一段区间的最大子段和问题,可以参考GSS1 spoj 1043 Can you answer these qu…

D. Happy Tree Party Time Limit: 20 Sec Memory Limit: 256 MB 题目连接 http://codeforces.com/contest/593/problem/D Description Bogdan has a birthday today and mom gave him a tree consisting of n vertecies. For every edge of the tree i, some number xi was w…

Do use segment tree Time Limit: 1 Sec Memory Limit: 256 MB 题目连接 http://www.bnuoj.com/v3/problem_show.php?pid=39566 Description Given a tree with n (1 ≤ n ≤ 200,000) nodes and a list of q (1 ≤ q ≤ 100,000) queries, process the queries in order and out…

To your surprise, Jamie is the final boss! Ehehehe. Jamie has given you a tree with n vertices, numbered from 1 to n. Initially, the root of the tree is the vertex with number 1. Also, each vertex has a value on it. Jamie also gives you three types o…

D. Water Tree time limit per test 4 seconds memory limit per test 256 megabytes input standard input output standard output Mad scientist Mike has constructed a rooted tree, which consists of n vertices. Each vertex is a reservoir which can be either…

Water Tree http://codeforces.com/problemset/problem/343/D time limit per test 4 seconds memory limit per test 256 megabytes input standard input output standard output Mad scientist Mike has constructed a rooted tree, which consists of n vertices. Ea…

Mad scientist Mike has constructed a rooted tree, which consists of n vertices. Each vertex is a reservoir which can be either empty or filled with water. The vertices of the tree are numbered from 1 to n with the root at vertex 1. For each vertex, t…

Description Given a rooted tree, each node has a boolean (0 or 1) labeled on it. Initially, all the labels are 0. We define this kind of operation: given a subtree, negate all its labels. And we want to query the numbers of 1's of a subtree. Input Mu…

题意: 给出一棵树,每个顶点上有个\(2 \times 2\)的矩阵,矩阵有两种操作: 顺时针旋转90°,花费是2 将一种矩阵替换为另一种矩阵,花费是10 树上有一种操作,将一条路经上的所有矩阵都变为给出的矩阵,并输出最小花费. 分析: 矩阵可以分为两类共6种,一类是两个1相邻的矩阵共4种:一类是两个1在对角线的矩阵共2种. 同一类矩阵可以通过旋转操作得到,否则只能用替换. 事先计算好每种矩阵转换到另外一种矩阵的最少花费,然后树链剖分再用线段树维护就好了. #include <cstdio>…

E. Jamie and Tree time limit per test 2.5 seconds memory limit per test 256 megabytes input standard input output standard output To your surprise, Jamie is the final boss! Ehehehe. Jamie has given you a tree with n vertices, numbered from 1 to n. In…

Distance on the tree 题目链接 https://nanti.jisuanke.com/t/38229 Describe DSM(Data Structure Master) once learned about tree when he was preparing for NOIP(National Olympiad in Informatics in Provinces) in Senior High School. So when in Data Structure Cl…

Codeforces Round #329 (Div. 2) D. Happy Tree Party time limit per test 3 seconds memory limit per test 256 megabytes input standard input output standard output Bogdan has a birthday today and mom gave him a tree consisting of n vertecies. For every…

树链剖分整理 树链剖分就是把树拆成一系列链,然后用数据结构对链进行维护. 通常的剖分方法是轻重链剖分,所谓轻重链就是对于节点u的所有子结点v,size[v]最大的v与u的边是重边,其它边是轻边,其中size[v]是以v为根的子树的节点个数,全部由重边组成的路径是重路径,根据论文上的证明,任意一点到根的路径上存在不超过logn条轻边和logn条重路径. 这样我们考虑用数据结构来维护重路径上的查询,轻边直接查询. 通常用来维护的数据结构是线段树,splay较少见. 具体步骤 预处理 第一遍dfs 求…

4353: Play with tree Time Limit: 20 Sec  Memory Limit: 256 MBSubmit: 31  Solved: 19[Submit][Status][Discuss] Description 给你一棵包含N个节点的树,设每条边一开始的边权为0,现在有两种操作: 1)给出参数U,V,C,表示把U与V之间的路径上的边权变成C(保证C≥0) 2)给出参数U,V,C,表示把U与V之间的路径上的边权加上C.但是如果U至V之间路径某条边的边权加上C小于0,那…

题意:在一棵N个节点,有边权的树上维护以下操作: 1:单边修改,将第X条边的边权修改成Y 2:区间取反,将点X与Y在树上路径中的所有边边权取反 3:区间询问最大值,询问X到Y树上路径中边权最大值 n<=10000 CAS<=20 思路:做了2天,改出来的一刻全身都萎掉了 边权转点权,点权就是它到父亲的边的边权,加一些反向标记 取反的标记TAG下传时不能直接赋值为-1,而是将原先的标记取反 多组数据时倍增数组,深度也需要清零 树链剖分不能取第一条边,需要+1 ; ..]of record min…

http://poj.org/problem?id=3237 题意:树链剖分.操作有三种:改变一条边的边权,将 a 到 b 的每条边的边权都翻转(即 w[i] = -w[i]),询问 a 到 b 的最大边权. 思路:一开始没有用区间更新,每次翻转的时候都更新到叶子节点,居然也能过,后来看别人的发现也是可以区间更新的. 第一种:无区间更新水过 #include <cstdio> #include <algorithm> #include <iostream> #inclu…

You are given a tree (an acyclic undirected connected graph) with N nodes, and edges numbered 1, 2, 3...N-1. We will ask you to perfrom some instructions of the following form: CHANGE i ti : change the cost of the i-th edge to tior QUERY a b : ask fo…

题目链接:http://poj.org/problem?id=3237 You are given a tree with N nodes. The tree’s nodes are numbered 1 through N and its edges are numbered 1 through N − 1. Each edge is associated with a weight. Then you are to execute a series of instructions on th…

Water Tree 给出一棵树,有三种操作: 1 x:把以x为子树的节点全部置为1 2 x:把x以及他的所有祖先全部置为0 3 x:询问节点x的值 分析: 昨晚看完题,马上想到直接树链剖分,在记录时间戳时需要记录一下出去时的时间戳,然后就是很裸很裸的树链剖分了. 稳稳的黄名节奏,因为一点私事所以没做导致延迟了 (ps:后来想了一下,不用树链剖分直接dfs序维护也行...) #include <set> #include <map> #include <list> #i…

Query on a tree again! 给出一棵树,树节点的颜色初始时为白色,有两种操作: 0.把节点x的颜色置反(黑变白,白变黑). 1.询问节点1到节点x的路径上第一个黑色节点的编号. 分析: 先树链剖分,线段树节点维护深度最浅的节点编号. 注意到,如果以节点1为树根时,显然每条重链在一个区间,并且区间的左端会出现在深度浅的地方.所以每次查找时发现左区间有的话,直接更新答案. 9929151 2013-08-28 10:45:55 Query on a tree again! 100…

Description You are given a tree with N nodes. The tree’s nodes are numbered 1 through N and its edges are numbered 1 through N − 1. Each edge is associated with a weight. Then you are to execute a series of instructions on the tree. The instructions…

  Query on a tree Time Limit: 851MS   Memory Limit: 1572864KB   64bit IO Format: %lld & %llu Submit Status Description You are given a tree (an acyclic undirected connected graph) with N nodes, and edges numbered 1, 2, 3...N-1. We will ask you to per…

Dynamic len(set(a[L:R])) Time Limit: 20 Sec Memory Limit: 256 MB 题目连接 https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=3767 Description 给你n个数,m次操作 Q x y 询问[x+1,y]有多少个不同的数 M x y 将第x+1个数修改成y Input n…