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
该题用的是最小生成树 prim的算法，给出的二维矩阵代表他们之间的距离，输出安装光纤所需要的最短距离
已经AC过的代码：
#include<cstdio> #include<iostream> #include<cstring> using namespace std; int main() { int dis[105][105],book[105]; int n,p; while(scanf("%d",&n)!=EOF) { memset(book,0,sizeof(book)); for(int i=0;i<n;i++) { for(int j=0;j<n;j++) scanf("%d",&dis[i][j]); } book[0]=1;//将初始点认为已经遍历过 int find=1,s=0; while(find!=n) { int min=1000000000; for(int i=0;i<n;i++) { for(int j=0;j<n;j++) { if(book[i]==1&&book[j]==0)//初始点遍历过，而且与之开始的第一个点还未遍历 { if(dis[i][j]<min) { min=dis[i][j];//判断他们之间的距离和最小值之间的大小，并对min重新赋值 p=j;//记下该点 } } } } s+=min; book[p]=1; find++;//如果所有的点都找完了，跳出循环 } cout<<s<<'\n'; } return 0; }