HDU 1712 ACboy needs your help

Bertha 。 2022-06-18 08:47 165阅读 0赞

> ACboy needs your help
> 
> Time Limit: 1000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)  
> Total Submission(s): 6953 Accepted Submission(s): 3853
> 
> Problem Description  
> ACboy has N courses this term, and he plans to spend at most M days on study.Of course,the profit he will gain from different course depending on the days he spend on it.How to arrange the M days for the N courses to maximize the profit?
> 
> Input  
> The input consists of multiple data sets. A data set starts with a line containing two positive integers N and M, N is the number of courses, M is the days ACboy has.  
> Next follow a matrix A\[i\]\[j\], (1<=i<=N<=100,1<=j<=M<=100).A\[i\]\[j\] indicates if ACboy spend j days on ith course he will get profit of value A\[i\]\[j\].  
> N = 0 and M = 0 ends the input.
> 
> Output  
> For each data set, your program should output a line which contains the number of the max profit ACboy will gain.
> 
> Sample Input  
> 2 2  
> 1 2  
> 1 3  
> 2 2  
> 2 1  
> 2 1  
> 2 3  
> 3 2 1  
> 3 2 1  
> 0 0
> 
> Sample Output  
> 3  
> 4  
> 6
> 
> Source  
> HDU 2007-Spring Programming Contest

> 题意：  
> n门课程m天时间，每天最多选一门课程，A \[i\] \[j\]表示花费j天，获得价值A \[i\] \[j\]的价值，如何安排使得价值最大。  
> 题解：分组01背包，分成n组，容量为m，价值为a\[i\]\[j\],每组选取一门课程花费k天，获得最大价值。

#include <iostream>
    #include <cstring>
    #include <cstdio>
    #include <algorithm>
    
    using namespace std;
    
    const int maxn = 105;
    int n,m;
    int a[maxn][maxn];
    int dp[maxn];
    int main()
    {
        while(cin>>n>>m&&(m+n))
        {
            for(int i=1;i<=n;i++)
            {
                for(int j=1;j<=m;j++)
                {
                    cin>>a[i][j];
                }
            }
            for(int i=1;i<=n;i++)//n组
            {
                for(int j=m;j>=1;j--)//天数从小到大
                {
                     for(int k=j;k>=1;k--)//01
                    {
                        dp[j] = max(dp[j],dp[j-k]+a[i][k]);
                    }
                }
            }
            cout<<dp[m]<<endl;
            memset(dp,0,sizeof(dp));
        }
        return 0;
    }