poj 2531 Network Saboteur (dfs)
Time Limit: 2000MS | Memory Limit: 65536K | |
Total Submissions: 9364 | Accepted: 4417 |
Description
A disgruntled computer science student Vasya, after being expelled from the university, decided to have his revenge. He hacked into the university network and decided to reassign computers to maximize the traffic between two subnetworks.
Unfortunately, he found that calculating such worst subdivision is one of those problems he, being a student, failed to solve. So he asks you, a more successful CS student, to help him.
The traffic data are given in the form of matrix C, where Cij is the amount of data sent between ith and jth nodes (Cij = Cji, Cii = 0). The goal is to divide the network nodes into the two disjointed subsets A and B so as to maximize the sum ∑Cij (i∈A,j∈B).
Input
Output file must contain a single integer -- the maximum traffic between the subnetworks.
Output
Sample Input
3 0 50 30 50 0 40 30 40 0
Sample Output
90
百度了一下才知道思路,继续努力。。。
题意:把一个连通的集合分成两个不连通的集合,求这两个集合间最大的信息交换量。
每个点(电脑)可以由两个选择,分给A集合或者B集合。
每次把一个点分类后,立即求出它和另一个集合的交换信息量。
#include<stdio.h> #include<queue> #include<map> #include<string> #include<string.h> using namespace std; #define N 25 const int inf=0x1f1f1f1f; int g[N][N]; int ans,n; bool f[N]; void dfs(int u,int sum) { if(u>=n) { ans=max(ans,sum); return ; } int i,tmp=0; f[u]=false; //把点U分为集合A for(i=0;i<u;i++) //求点U和集合B交换的信息量 if(f[i]==true) tmp+=g[u][i]; dfs(u+1,sum+tmp); f[u]=true; //把点U分为集合B for(i=tmp=0;i<u;i++) //求点U和集合A交换的信息量 if(f[i]==false) tmp+=g[u][i]; dfs(u+1,sum+tmp); } int main() { int i,j; while(scanf("%d",&n)!=-1) { for(i=0; i<n; i++) for(j=0; j<n; j++) scanf("%d",&g[i][j]); ans=0; dfs(0,0); printf("%d\n",ans); } return 0; }
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