Description

Farmer John has been elected mayor of his town! One of his campaign promises was to bring internet connectivity to all farms in the area. He needs your help, of course. 
Farmer John ordered a high speed connection for his farm and is going to share his connectivity with the other farmers. To minimize cost, he wants to lay the minimum amount of optical fiber to connect his farm to all the other farms. 
Given a list of how much fiber it takes to connect each pair of farms, you must find the minimum amount of fiber needed to connect them all together. Each farm must connect to some other farm such that a packet can flow from any one farm to any other farm. 
The distance between any two farms will not exceed 100,000. 

Input

The input includes several cases. For each case, the first line contains the number of farms, N (3 <= N <= 100). The following lines contain the N x N conectivity matrix, where each element shows the distance from on farm to another. Logically, they are N lines of N space-separated integers. Physically, they are limited in length to 80 characters, so some lines continue onto others. Of course, the diagonal will be 0, since the distance from farm i to itself is not interesting for this problem.

Output

For each case, output a single integer length that is the sum of the minimum length of fiber required to connect the entire set of farms.

Sample Input

4
0 4 9 21
4 0 8 17
9 8 0 16
21 17 16 0

Sample Output

28

題意：
給你N*N矩陣，表示N個村莊之間的距離。FJ要把N個村莊全都連線起來，求連線的最短距離。
注意多組資料和初始化

最小生成樹題

#pragma GCC optimize(2)
#include<stdio.h>
#include<algorithm>
#include<iostream>
#include<string.h>
#include<set>
#include<vector>
#include<string>
#include<queue>
using namespace std;
const int maxn = 110;
const int inf = 0x3f3f3f3f;
typedef long long ll;
int mp[maxn][maxn];
struct node
{
	int u, v, w;
}edge[maxn*maxn];
int n;
int f[maxn];
bool cmp(const node &a, const node &b)
{
	return a.w < b.w;
}
int sum ;
int k ;
int find(int x)
{
	if (x == f[x])
	{
		return x;
	}
	else
	{
		return f[x] = find(f[x]);
	}
}
void kru()
{
	for (int i = 0; i < k; i++)
	{
		int x = find(edge[i].u);
		int y = find(edge[i].v);
		if (x != y)
		{
			sum += edge[i].w;
			f[x] = y;
		}
	}
	return;
}
int main()
{
	//freopen("C://input.txt", "r", stdin);
	while (scanf("%d", &n) != EOF)
	{
		k = sum = 0;
		for (int i = 1; i <= n; i++)
		{
			for (int j = 1; j <= n; j++)
			{
				scanf("%d", &mp[i][j]);
			}
			f[i] = i;
		}
		for (int i = 1; i <= n; i++)
		{
			for (int j = i+1; j <= n; j++)
			{
				edge[k].u = i;
				edge[k].v = j;
				edge[k++].w = mp[i][j];
			}
		}
		sort(edge, edge + k, cmp);
		kru();
		printf("%d\n", sum);
	}
	return 0;
}