最小生成树的最大边poj2395

Language: Default
Out of Hay
Time Limit: 1000MS   Memory Limit: 65536K
Total Submissions: 9673   Accepted: 3717

Description

The cows have run out of hay, a horrible event that must be remedied immediately. Bessie intends to visit the other farms to survey their hay situation. There are N (2 <= N <= 2,000) farms (numbered 1..N); Bessie starts at Farm 1. She'll traverse some or all of the M (1 <= M <= 10,000) two-way roads whose length does not exceed 1,000,000,000 that connect the farms. Some farms may be multiply connected with different length roads. All farms are connected one way or another to Farm 1.  

Bessie is trying to decide how large a waterskin she will need. She knows that she needs one ounce of water for each unit of length of a road. Since she can get more water at each farm, she's only concerned about the length of the longest road. Of course, she plans her route between farms such that she minimizes the amount of water she must carry.  

Help Bessie know the largest amount of water she will ever have to carry: what is the length of longest road she'll have to travel between any two farms, presuming she chooses routes that minimize that number? This means, of course, that she might backtrack over a road in order to minimize the length of the longest road she'll have to traverse.

Input

* Line 1: Two space-separated integers, N and M.  

* Lines 2..1+M: Line i+1 contains three space-separated integers, A_i, B_i, and L_i, describing a road from A_i to B_i of length L_i.

Output

* Line 1: A single integer that is the length of the longest road required to be traversed.

Sample Input

3 3
1 2 23
2 3 1000
1 3 43

Sample Output

43

思路:prim算法求最小生成树。
需要注意的:一定要注意重边,好多次了就是记不住!还有就是INF赋大点。
下面是代码:
#include
#include
#include
#include
#include
#include
#include
#include
#include
#include
#include
typedef long long LL;
using namespace std;
const int INF=9000000000;
int N,M;
int grid[2005][2005];
int dis[2005];
bool vis[2005];
void prim()
{
    int tmp;
    int ans=0;
    for(int i=1;i<=N;i++)
    {
        dis[i]=grid[1][i];
        vis[i]=false;
    }
    dis[1]=0;
    vis[1]=true;
    for(int i=2;i<=N;i++)
    {
        int maxn=INF;
        for(int j=1;j<=N;j++)
        {
            if(!vis[j]&&dis[j]maxn?ans:maxn;
        vis[tmp]=true;
        for(int j=1;j<=N;j++)
            if(!vis[j]&&dis[j]>grid[j][tmp])
            dis[j]=grid[j][tmp];
    }
    cout<>N>>M)
    {
        for(int i=1;i<=N;i++)
            fill(grid[i],grid[i]+N+1,INF);
        for(int i=1;i<=M;i++)
        {
            cin>>a>>b>>l;
            grid[a][b]=min(grid[a][b],l);
            grid[b][a]=grid[a][b];
        }
        prim();
    }
    return 0;
}


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