HDU2586How far away ?

http://acm.hdu.edu.cn/showproblem.php?pid=2586

How far away ?

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 13821    Accepted Submission(s): 5195

Problem Description
  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.
 
Input
  First 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.
 
Output
  For 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
 
Source
  题目大意:有T组数据 每组给出n个点由n-1条路连接,给出m次询问,求a和b两个村庄的距离
  我实在不想吐槽,多组数据不用初始化也能A?中间把最近公共祖先输出了也能A!?逗我玩呢。
  带领小学妹谢JustPenz233
#include <cstdio>
#include <cstring>
#include <iostream>
#include <vector>
using namespace std;
vector<int> v[41000];
vector<int> w[41000];
int f[41000][21];//f[i][j]表示i点向上2^j层的祖先 
int g[41000][21];//g[i][j]表示i点到从i向上2^j层的祖先的距离 
int dep[41000];
int n,m;
void dfs(int pos,int pre,int depth)
{
    dep[pos]=depth;
    for(int i=0;i<v[pos].size();i++)
    {
        int t=v[pos][i];
        if(t==pre) continue;
        f[t][0]=pos;
        g[t][0]=w[pos][i];
        dfs(t,pos,depth+1);
    }
}
int query(int a,int b)
{
    int sum=0;
    if(dep[a]<dep[b]) swap(a,b);//深度较深的点 
    for(int i=20;i>=0;i--)//找到a在深度dep[b]处的祖先 
    {
        if(dep[f[a][i]]>=dep[b])
        {
            sum+=g[a][i];//a到该祖先的距离 
            a=f[a][i];
        }
    }
    if(a==b) return sum;//挪到相同深度后如果在同一点直接return 
    int x;
    for(int i=20;i>=0;i--)//否则a和b一起往上蹦跶 
    {
        if(f[a][i]!=f[b][i])
        {
            sum+=g[a][i];
            a=f[a][i];
            sum+=g[b][i];
            b=f[b][i];
        }
    }
    return sum+g[a][0]+g[b][0];//最后蹦跶到最近公共祖先的下一层,所以要再加上上一层 
}
int main()
{
    int T;
    cin>>T;
    while(T--)
    {
        scanf("%d%d",&n,&m);
        memset(dep,-1,sizeof dep);//多组数据我们初始化 
        memset(f,0,sizeof f);
        memset(g,0,sizeof g);
        for(int i=0;i<n;i++)//md
            v[i].clear(),w[i].clear();
        for(int i=1;i<n;i++)
        {
            int x,y,c;
            cin>>x>>y>>c;
            v[x].push_back(y);
            w[x].push_back(c);
            v[y].push_back(x);
            w[y].push_back(c);
        }
        int xxx=v[1].size();
        dfs(1,0,1);//dfs处理出每个点的深度,以及各种... 
    
        for(int i=1;1<<i<=n;i++)
            for(int j=1;j<=n;j++)
                f[j][i]=f[f[j][i-1]][i-1],
                g[j][i]=g[f[j][i-1]][i-1]+g[j][i-1];
        for(int i=1;i<=m;i++)
        {
            int x,y;
            cin>>x>>y;
            if(x==y) cout<<"0"<<endl;
            else cout<<query(x,y)<<endl;
        }
    }
    return 0;
}    

 

 

posted @ 2016-11-16 14:06  [lemon]  阅读(173)  评论(0编辑  收藏  举报
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