POJ 1258 Agri-Net(Prim)

標籤：between   min   minimum   0ms   limit   connect   oid   lang   mit   

題目網址：http://poj.org/problem?id=1258

題目：

Agri-Net

Time Limit: 1000MS		Memory Limit: 10000K
Total Submissions: 60004		Accepted: 24855

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

40 4 9 214 0 8 179 8 0 1621 17 16 0

Sample Output

28

最小產生樹水題~因為點數比較少，而且題目給的是鄰接矩陣 所以用了Prim演算法。

代碼：

 1 #include <cstdio> 2 #include <cstring> 3 #include <algorithm> 4 using namespace std; 5 const int inf=11111111; 6 int n,res; 7 int dist[105],f[105][105]; 8 int vis[105]; 9 void prim(){10     int v=0;11     memset(vis, 0, sizeof(vis));12     for (int i=1; i<=n; i++)    dist[i]=inf;13     dist[1]=0;14     for (int i=1; i<=n; i++) {15         int Min=inf;16         for (int j=1; j<=n; j++) {17             if(dist[j]<Min && !vis[j]){18                 Min=dist[j];19                 v=j;20             }21         }22         vis[v]=1;23         res+=dist[v];24         for (int j=1; j<=n; j++) {25             dist[j]=min(dist[j],f[v][j]);//演算法核心，是求遍曆點到部分最小產生樹的最小距離，而不是單個點26         }27     }28 }29 int main(){30     while (scanf("%d",&n)!=EOF && n) {31         res=0;32         for (int i=1; i<=n; i++) {33             for (int j=1; j<=n; j++) {34                 scanf("%d",&f[i][j]);35             }36         }37         prim();38         printf("%d\n",res);39     }40     return 0;41 }

 

POJ 1258 Agri-Net(Prim)