题目链接 Alyona and a tree 比较考验我思维的一道好题. 首先,做一遍DFS预处理出$t[i][j]$和$d[i][j]$.$t[i][j]$表示从第$i$个节点到离他第$2^{j}$近的祖先,$d[i][j]$表示从$i$开始到$t[i][j]$的路径上的路径权值总和. 在第一次DFS的同时,对节点$x$进行定位(结果为$dist(x, y)<=a(y)$)的离$x$最远的$x$的某个祖先,然后进行$O(1)$的差分. 第一次DFS完成后,做第二次DFS统计答案(统计差分后的结…

D. Alyona and a tree time limit per test  2 seconds memory limit per test  256 megabytes input  standard input output  standard output Alyona has a tree with n vertices. The root of the tree is the vertex 1. In each vertex Alyona wrote an positive in…

<题目链接> 题目大意: 给定一颗带权树,树的根是1,树上每个点都有点权,并且还有边权.现在给出“控制”的定义:对一个点u,设v为其子树上的节点,且$dis(u,v)≤val[v]$,则称u控制v.求出每个点控制的点数. 解题分析: 处理出所有点到根的距离$dist$,然后任意两点之间的距离为$dist[v]-dist[u]$($v$为$u$的子树中的节点).因为在每条链上,$dist$由根向子树深搜的过程中都是递增的,所以可以用二分快速找到能够控制当前节点的$dep$最浅的父亲节点,然后利用…

题目描述: Alyona and a tree time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output Alyona has a tree with n vertices. The root of the tree is the vertex 1. In each vertex Alyona wrote an positive int…

题目链接: http://codeforces.com/contest/740/problem/D D. Alyona and a tree time limit per test2 secondsmemory limit per test256 megabytes 问题描述 Alyona has a tree with n vertices. The root of the tree is the vertex 1. In each vertex Alyona wrote an positiv…

Alyona and the Tree 题目链接: http://acm.hust.edu.cn/vjudge/contest/121333#problem/C Description Alyona decided to go on a diet and went to the forest to get some apples. There she unexpectedly found a magic rooted tree with root in the vertex 1, every v…

题目链接:http://codeforces.com/problemset/problem/682/C 题目大意:取树上任意一个点v,若点v的子树中有一个点u使得dist(v,u)>a[u]那么称节点v是伤心的.给你一个根为1的树,每个节点有一个权值a[i],每条边也有一个权值w,现在让你删最少的结点,使得树上不存在伤心的点.解题思路:删除最少的点,我们可以反一下,变成找最多的点,使得这些点不伤心.只要对这棵树进行DFS,同时记录路径长度dis,当到达某点u时,若dis>a[u],那么要将u及…

题意:给定一棵树,每个叶子有一个权值,每条边也有一个权值,现在让你删最少的结点,使得从任何结点出发到另一个结点的边上权值和都小于两个结点的权值. 析:很明显是DFS,不过要想找出最少的结点可能不太容易,所以我们可以先找出剩下结点最多,那么用总数减去这个就好,那么怎么找哪些结点是剩下的呢?首先要知道,如果一个结点要被删掉, 那么它的子树肯定也要被删掉,并且,要满足dist(v, u) <= a[u]才是可能留下的,那么只要dist(v, u) >a[u],就不要,所以一定要注意的是,结点的距离可…

Alyona decided to go on a diet and went to the forest to get some apples. There she unexpectedly found a magic rooted tree with root in the vertex 1, every vertex and every edge of which has a number written on. The girl noticed that some of the tree…

题目链接:http://codeforces.com/problemset/problem/682/C 题意:如果点v在点u的子树上且dist(u,v)>a[v]则u和其整个子树都将被删去,求被删去的点数. 思路:1为根节点,从1开始DFS遍历,记录距离dis为到祖宗节点的最大距离. #include<bits/stdc++.h> using namespace std; typedef long long ll; const int N=1e5+5; int a[N],num[N],a…