原题链接:http://poj.org/problem?id=1741 题意: 给你棵树,询问有多少点对,使得这条路径上的权值和小于K 题解: 就..大约就是树的分治 代码: #include<iostream> #include<climits> #include<cstring> #include<queue> #include<algorithm> #include<vector> #include<cstdio>…

Tree Time Limit: 1000MS   Memory Limit: 30000K Total Submissions: 30928   Accepted: 10351 Description Give a tree with n vertices,each edge has a length(positive integer less than 1001). Define dist(u,v)=The min distance between node u and v. Give an…

题目大意:给出一颗无根树和每条边的权值,求出树上两个点之间距离<=k的点的对数. 思路:树的点分治.利用递归和求树的重心来解决这类问题.由于满足题意的点对一共仅仅有两种: 1.在以该节点的子树中且不经过该节点. 2.路径经过该节点. 对于第一种点,我们递归处理:另外一种点.我们能够将全部子树的节点到这个子树的根节点的距离处理出来,然后排序处理出满足要求的点对的个数. 依照正常的树的结构来切割子树,这种做法的时间复杂度肯定是不好看的,为了让子树大小尽量同样.我们每次处理这个子树前找到这个子树的重心…

Tree Time Limit: 1000MS   Memory Limit: 30000K Total Submissions: 24258   Accepted: 8062 Description Give a tree with n vertices,each edge has a length(positive integer less than 1001). Define dist(u,v)=The min distance between node u and v. Give an…

Tree Time Limit: 1000MS   Memory Limit: 30000K Total Submissions: 21357   Accepted: 7006 Description Give a tree with n vertices,each edge has a length(positive integer less than 1001).Define dist(u,v)=The min distance between node u and v.Give an in…

Tree     Description Give a tree with n vertices,each edge has a length(positive integer less than 1001). Define dist(u,v)=The min distance between node u and v. Give an integer k,for every pair (u,v) of vertices is called valid if and only if dist(u…

题目链接:http://poj.org/problem?id=1741 题意: 给定一棵包含$n$个点的带边权树,求距离小于等于K的点对数量 题解: 显然,枚举所有点的子树可以获得答案,但是朴素发$O(n^2logn)$算法会超时, 利用树的重心进行点分治可以将$O(n^2logn)$的上界优化为近似$O(nlogn)$ 足以在1000ms的测试时间内通过 具体原理参考注释 #include<iostream> #include<map> #include<string>…

                                                                    Tree Time Limit: 1000MS   Memory Limit: 30000K Total Submissions: 20816   Accepted: 6820 Description Give a tree with n vertices,each edge has a length(positive integer less than 100…

Tree Time Limit: 1000MS   Memory Limit: 30000K Total Submissions: 15548   Accepted: 5054 Description Give a tree with n vertices,each edge has a length(positive integer less than 1001). Define dist(u,v)=The min distance between node u and v. Give an…

poj 1741 Tree(树的点分治) 给出一个n个结点的树和一个整数k,问有多少个距离不超过k的点对. 首先对于一个树中的点对,要么经过根结点,要么不经过.所以我们可以把经过根节点的符合点对统计出来.接着对于每一个子树再次运算.如果不用点分治的技巧,时间复杂度可能退化成\(O(n^2)\)(链).如果对于子树重新选根,找到树的重心,就一定可以保证时间复杂度在\(O(nlogn)\)内. 具体技巧是:首先选出树的重心,将重心视为根.接着计算出每个结点的深度,以此统计答案.由于子树中可能出现重复…