poj1258 Agri-Net 最小生成树水题
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Agri-Net
Time Limit: 1000MS Memory Limit: 10000KTotal Submissions: 55019 Accepted: 22821
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.
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
Physically, they are limited in length to 80 characters, so some lines continue onto others.
大家可能对这句话有些疑惑,它的意思的应该是一行的数据不超过80个字符,超过的另起一行。
对于这道题本身可能没什么好讲的,就是一道赤裸裸的最小生成树。可prim,可Kruskal,对与想学习数据结构的同学来说,这道题算是一道不错的练手题。
prim算法:
#include <stdio.h>#include <string.h>const int INF = 110000;const int MAX = 110;int g[MAX][MAX];bool visited[MAX] ;void init(){memset(visited,false , sizeof(bool)*MAX) ;for(int i = 0 ; i < MAX ; ++i){for(int j = 0 ; j < MAX ; ++j)g[i][j] = INF ;}}int prim(int n){int lowCost[MAX] ;for(int i = 0 ; i < n ; ++i){lowCost[i] = g[0][i] ;}visited[0] = true ;int sum = 0 ;for(int i = 0 ; i < n-1 ; ++i){int min = INF , index ;for(int j = 0 ; j < n ; ++j){if(!visited[j] && lowCost[j] < min){min = lowCost[j] ;index = j;}}visited[index] = true ;sum += min ;for(int j = 0 ; j < n ; ++j){if(!visited[j] && lowCost[j]>g[index][j]){lowCost[j] = g[index][j] ;}}}return sum ;}int main(){int n ;while(~scanf("%d",&n)){init();for(int i = 0 ; i<n ; ++i){for(int j = 0 ; j<n ; ++j){scanf("%d",&(g[i][j])) ;}}printf("%d\n",prim(n)) ;}return 0 ;}
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