CO-ABILITY DFS+DP

最新推荐文章于 2025-09-10 14:53:18 发布

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最新推荐文章于 2025-09-10 14:53:18 发布

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文章标签： java php

原文链接：http://www.cnblogs.com/hebozi/archive/2012/08/13/2635862.html

本文介绍了一个算法问题，旨在通过合理的队员搭配实现团队合作能力的最大化。给定一组人员及其两两之间的合作能力值，需要计算出最佳的两人小组分配方案，使得所有小组的合作能力之和最大。

CO-ABILITY

Time Limit : 3000/1000ms (Java/Other) Memory Limit : 65535/32768K (Java/Other)

Total Submission(s) : 20 Accepted Submission(s) : 11

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Problem Description

The Regional Contest is coming near, and all the acmers become very excited. As well as our coaches, they're very strategy, for they always think again and again how to select players , how to choose three players into one team and which team to assign to one or two of all sites… Such problems make their heads ached, including your coach, and he knows you're an excellent ACMer, so he's asking for your help. This is an easy problem for you, isn't it?
To make things easier, we make a little change. Assume that your organization has N ACMers, they're numbered from 1 to N.(It has nothing to do with their ability, just for the convenience of controlling). What's more, they're divided into N/2 teams, haha, which means one team has only 2 people, and if your organization has 5 ACMers, you could have at most 2 teams. I hope you would like such changes.
Teamwork is very important, when different two ACMers are combined into one team, they can have different co-ability. And now, given any two ACMers: i and j, your coach knows their co-ability (Pij). Here comes the problem, given all the Pij(1 <= i <= N,1 <= j <= N,0 < Pij<= 100), you should tell the most co-ability after all ACMers has their team can your school has.

Input

The first line of the input is N(2<=N<=10 and N is an even number),the number of employees in the company.
Then there're N lines,each line has N numbers.The jth number in the ith line is Pij,as we discribe above.And we guarantee Pij = Pji,Pii = 0. The end-of-file is denoted by a single line containing the integer 0.

Output

For each case,output the most profits this company can make.

Sample Input

Sample Output

代码：

#include<stdio.h>
#include<string.h>
#define N 15
#define MX(a,b) (a>b?a:b)
int map[N][N];
int visit[N];
int p[N],pos[N];
int n;
int max;

void REDFS(int cur,int cnt)
{
if(cnt==n/2)
{
     int sum=0;
for(int i=1;i<=cnt;i++)
sum+=map[p[i]][pos[i]];
max=MX(max,sum);
return ;
}
for(int i=1;i<=n;i++)
{
     if(!visit[i])
     {
     visit[i]=1;
  pos[cnt+1]=i;
  REDFS(i,cnt+1);
  visit[i]=0;
     }
}
}

void DFS(int cur,int cnt)
{
   if(cnt==n/2)
   {
      REDFS( 0,0 );
   return ;
   }
   for(int i=cur+1;i<=n;i++)
   {
       if(!visit[i])
    {
       visit[i]=1;
    p[cnt+1]=i;
    DFS(i,cnt+1);
    visit[i]=0;
       }
   }
}

int main()             //分两次搜索，存放在两个不同的数组中；
{
   while(scanf("%d",&n),n)
   {
      memset(visit,0,sizeof(visit));
   max=-1;
   for(int i=1;i<=n;i++)
   {
      for(int j=1;j<=n;j++)
   scanf("%d",&map[i][j]);
      }
   DFS( 0,0 );
   printf("%d\n",max);
   }
   return 0;
}