poj2531Network Saboteur
题目链接:
题目:
Time Limit: 2000MS | Memory Limit: 65536K | |
Total Submissions: 8959 | Accepted: 4190 |
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
Source
dfs,枚举的时候确定一部分的电脑数量,然后进行dfs回溯。。。。找出最大值。
只需要搜索一半即可,因为是对称的。。
代码为:
#include<cstdio> #include<algorithm> #include<iostream> using namespace std; const int maxn=20+10; int map[maxn][maxn],vis[maxn]; int n,max_value; void dfs(int s,int num) { if(num==0) { //cout<<"fuck"<<endl; int sum=0; for(int i=1;i<=n;i++) { if(!vis[i]) continue; else { for(int j=1;j<=n;j++) { if(vis[j]) continue; else sum=sum+map[i][j]; } } } // cout<<sum<<endl; max_value=max(sum,max_value); return; } for(int i=s;i<=n;i++) { vis[i]=1; dfs(i+1,num-1); vis[i]=0; } } int main() { while(scanf("%d",&n)!=EOF) { for(int i=1;i<=n;i++) for(int j=1;j<=n;j++) scanf("%d",&map[i][j]); max_value=0; for(int i=1;i<=n/2;i++) dfs(1,i); printf("%d\n",max_value); } return 0; }
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