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POJ 2531-Network Saboteur（DFS）

2024-08-03 10:27:19   231人阅读

Network Saboteur
Time Limit: 2000MS Memory Limit: 65536K
Total Submissions: 9435 Accepted: 4458

Description

A university network is composed of N computers. System administrators gathered information on the traffic between nodes, and carefully divided the network into two subnetworks in order to minimize traffic between parts. 
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

The first line of input contains a number of nodes N (2 <= N <= 20). The following N lines, containing N space-separated integers each, represent the traffic matrix C (0 <= Cij <= 10000). 
Output file must contain a single integer -- the maximum traffic between the subnetworks. 

Output

Output must contain a single integer -- the maximum traffic between the subnetworks.

Sample Input

3
0 50 30
50 0 40
30 40 0

Sample Output

90
题意 ：给出n个点和他们之间的权值Cij，现在要将n个点分为两部分，求∑Cij (i∈A,j∈B)最大
思路：dfs暴搜
算是没剪枝吧。。跑了219MS sad
#include <algorithm>
#include <iostream>
#include <cstring>
#include <cstdlib>
#include <string>
#include <cctype>
#include <vector>
#include <cstdio>
#include <cmath>
#include <queue>
#include <stack>
#include <map>
#include <set>
#define ll long long
#define maxn 360
#define pp pair<int,int>
#define INF 0x3f3f3f3f
#define max(x,y) ( ((x) > (y)) ? (x) : (y) )
#define min(x,y) ( ((x) > (y)) ? (y) : (x) )
using namespace std;
int ma[23][23],n,ans;
bool vis[23];
void dfs(int x,int num,int sum)
{

	if(num>n/2+1)return ;
	int t=0;
	ans=max(ans,sum);
	for(int i=x+1;i<=n;i++)
	{
		if(!vis[i])
		{
			vis[i]=1;
			int tem=sum;
			for(int j=1;j<=n;j++)
			if(vis[j])
			tem-=ma[i][j];
			else
			tem+=ma[i][j];
			dfs(i,num+1,tem);
			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",&ma[i][j]);
		memset(vis,0,sizeof(vis));
		ans=-INF;
		dfs(0,0,0);
		printf("%d\n",ans);
    }
    return 0;
}

POJ 2531-Network Saboteur（DFS）


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