LCA-hdu2586 how-far-away
There are n houses in the village and some bidirectional roads connecting them. Every day peole always like to ask like this "How far is it if I want to go from house A to house B"? Usually it hard to answer. But luckily int this village the answer is always unique, since the roads are built in the way that there is a unique simple path("simple" means you can't visit a place twice) between every two houses. Yout task is to answer all these curious people.
InputFirst line is a single integer T(T<=10), indicating the number of test cases.
For each test case,in the first line there are two numbers n(2<=n<=40000) and m (1<=m<=200),the number of houses and the number of queries. The following n-1 lines each consisting three numbers i,j,k, separated bu a single space, meaning that there is a road connecting house i and house j,with length k(0<k<=40000).The houses are labeled from 1 to n.
Next m lines each has distinct integers i and j, you areato answer the distance between house i and house j.OutputFor each test case,output m lines. Each line represents the answer of the query. Output a bland line after each test case.Sample Input
2 3 2 1 2 10 3 1 15 1 2 2 3 2 2 1 2 100 1 2 2 1
Sample Output
10 25 100 100
裸的LCA就是个并查集的模拟,但有一种倍增LCA,用一个二位数组储存每个点祖先们的情况,然后按二进制从高位跑LCA,可以把复杂度降到nlogn,不过要注意这样得到的第一个可能不是最近的,要向下试探。
const int MAX=0x7ffffff; struct r{ int fa,len; }; r fa[40005]; int len[40005]; map<int,int>qi; void solve() { int n,i,j,m; cin>>n>>m; for(int i=1;i<=n;i++) fa[i].fa=i,fa[i].len=0; for(i=1;i<n;i++){ int a,b,c; scanf("%d%d%d",&a,&b,&c); // if(a>b) swap(a,b); fa[a].fa=b; fa[a].len=c; } while(m--){ int a,b,sum(0); cin>>a>>b; qi.clear(); sum=0; qi[a]=sum; while(fa[a].fa!=a){ sum+=fa[a].len; a=fa[a].fa; qi[a]=sum; } qi[a]=sum; sum=0; // cout<<qi[a]<<endl; while(qi.count(b)==0) { sum+=fa[b].len; b=fa[b].fa; // cout<<":"<<b<<endl; } sum+=qi[b]; cout<<sum<<endl; } }
作者:凤涅
本文版权归作者所有,遵循CC-BY-4.0协议,欢迎转载,但未经作者同意必须保留此段声明,且在文章页面明显位置给出原文连接,否则保留追究法律责任的权利.

浙公网安备 33010602011771号