因为徐州现场赛的G是树上差分+组合数学,但是比赛的时候没有写出来(自闭),背锅. 会差分数组但是不会树上差分,然后就学了一下. 看了一些东西之后,对树上差分写一点个人的理解: 首先要知道在树上,两点之间只有一条路径.树上差分就是在树上用差分数组,因为是在树上的操作,所以要用到lca,因为对于两点a,b,从a到b这一条链就是a-->lca(a,b)-->b,这是一条链. 其次,树上差分的两种操作:一种是对点权的,另一种是对边权的. 对于点权: 在树上将路径的起点a+1和终点b+1,lca(a,b…

P3128 [USACO15DEC]最大流Max Flow 题目描述 Farmer John has installed a new system of N-1N−1 pipes to transport milk between the NN stalls in his barn (2 \leq N \leq 50,0002≤N≤50,000), conveniently numbered 1 \ldots N1…N. Each pipe connects a pair of stalls,…

题目描述 Farmer John has installed a new system of  pipes to transport milk between the  stalls in his barn (), conveniently numbered . Each pipe connects a pair of stalls, and all stalls are connected to each-other via paths of pipes. FJ is pumping milk…

题目:https://www.luogu.org/problemnew/show/P3128 倍增求 lca 也写错了活该第一次惨WA. 代码如下: #include<iostream> #include<cstdio> #include<cstring> #include<algorithm> using namespace std; ; ],dep[maxn],s[maxn],mx; bool vis[maxn]; struct N{ int to,nx…

题目描述 Farmer John has installed a new system of  pipes to transport milk between the  stalls in his barn (), conveniently numbered . Each pipe connects a pair of stalls, and all stalls are connected to each-other via paths of pipes. FJ is pumping milk…

题意 题目链接 Sol 树上差分模板题 发现自己傻傻的分不清边差分和点差分 边差分就是对边进行操作,我们在\(u, v\)除加上\(val\),同时在\(lca\)处减去\(2 * val\) 点差分是对点操作,我们在\(u, v\)处加上\(val\),在\(lca\)和\(fa[lca]\)处减去\(val\) 就本题而言,属于点差分 #include<bits/stdc++.h> const int MAXN = 1e5 + 10; using namespace std; inline…

题目描述 \(FJ\)给他的牛棚的\(N(2≤N≤50,000)\)个隔间之间安装了\(N-1\)根管道,隔间编号从\(1\)到\(N\).所有隔间都被管道连通了. \(FJ\)有\(K(1≤K≤100,000)\)条运输牛奶的路线,第\(i\)条路线从隔间\(s_i\)运输到隔间\(t_i\).一条运输路线会给它的两个端点处的隔间以及中间途径的所有隔间带来一个单位的运输压力,你需要计算压力最大的隔间的压力是多少. 输入输出格式 输入格式: The first line of the input…

题目描述 Farmer John has installed a new system of  pipes to transport milk between the  stalls in his barn (), conveniently numbered . Each pipe connects a pair of stalls, and all stalls are connected to each-other via paths of pipes. FJ is pumping milk…

https://www.luogu.org/problem/show?pid=3128 题目描述 Farmer John has installed a new system of  pipes to transport milk between the  stalls in his barn (), conveniently numbered . Each pipe connects a pair of stalls, and all stalls are connected to each-…

###题目链接### 题目大意: 给你一棵树,k 次操作,每次操作中有 a  b 两点,这两点路上的所有点都被标记一次.问你 k 次操作之后,整棵树上的点中被标记的最大次数是多少. 分析: 1.由于数据太大,故可以采用树上差分中的点差分来做到 O(1)标记. 2.需要用 tarjan 离线找出两点间的 lca . 3.在树上点差分中,还需要找到 lca 的父亲节点.由于在 tarjan 求 lca 时,并查集中的 pre[lca] 并非一直指向的是 lca 的父亲节点,故需要再开一个 fa[]…