B - Highways

The island nation of Flatopia is perfectly flat. Unfortunately, Flatopia has no public highways. So the traffic is difficult in Flatopia. The Flatopian government is aware of this problem. They're planning to build some highways so that it will be possible to drive between any pair of towns without leaving the highway system.

Flatopian towns are numbered from 1 to N. Each highway connects exactly two towns. All highways follow straight lines. All highways can be used in both directions. Highways can freely cross each other, but a driver can only switch between highways at a town that is located at the end of both highways.

The Flatopian government wants to minimize the length of the longest highway to be built. However, they want to guarantee that every town is highway-reachable from every other town.

Input

The first line of input is an integer T, which tells how many test cases followed.
The first line of each case is an integer N (3 <= N <= 500), which is the number of villages. Then come N lines, the i-th of which contains N integers, and the j-th of these N integers is the distance (the distance should be an integer within [1, 65536]) between village i and village j. There is an empty line after each test case.

Output

For each test case, you should output a line contains an integer, which is the length of the longest road to be built such that all the villages are connected, and this value is minimum.

Sample Input

1

3
0 990 692
990 0 179
692 179 0

Sample Output

692

Hint

Huge input,scanf is recommended.

题意：输入一个数N,然后输入N行，每行N个数据，其实就是一个N*N的矩阵，i行j列代表第i个村子到第j个村子的距离，问在全部联通且权值和最小的情况下修的最长的道路，，，

思路：克鲁斯卡尔算法水过，注意读的时候只要读上半部分或者下半部分就可以了；

下面附上代码：

#include<cstdio>
#include<algorithm>
#include<iostream>
#include<cmath>
#include<vector>
using namespace std;
int pre[550],zz[550],ma[550][550];
struct node
{
	int u,v,w;
}s[125010];
bool cmp(node a,node b)
{
	return a.w<b.w;
}
int find(int x)
{
	if(pre[x]==x)
		return x;
	return pre[x]=find(pre[x]);
}
void merge(int x,int y)
{
	int fx=find(x),fy=find(y);
	if(fx==fy)
		return ;
	if(zz[fx]<zz[fy]) pre[fx]=fy;
	else
	{
		pre[fy]=fx;
		if(zz[fx]==zz[fy]) zz[fx]++;
	}
}
int main()
{
	int t,n;
	cin>>t;
	int m;
	while(t--)
	{
		scanf("%d",&n);
		for(int i=1;i<=n;i++)
		{
			pre[i]=i;
			zz[i]=0;
		}
		for(int i=1;i<=n;i++)
			for(int j=1;j<=n;j++)
				scanf("%d",&ma[i][j]);
		int l=0;
		for(int i=1;i<=n;i++)
		{
			for(int j=1;j<=i;j++)
			{
				if(i==j) continue;
				s[l].u=i;
				s[l].v=j;
				s[l].w=ma[i][j];
				l++;
			}
		}
		sort(s,s+l,cmp);
		int ans=0;
		for(int i=0;i<l;i++)
		{
			if(find(s[i].u)!=find(s[i].v))
			{
				ans=max(ans,s[i].w);
				merge(s[i].u,s[i].v);
			}
		}
		printf("%d\n",ans);
	}
	return 0; 
}