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题目：

ACboy needs your help

Time Limit: 1000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)

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

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这是一个背包九讲里面的分组背包问题：

具体代码如下：

#include<cstring>
#include<cstdio>
#include<algorithm>
#include<iostream>
using namespace std;
const int maxn=100+10;
int dp[maxn],a[maxn][maxn];
int main()
{
    int i,j,N,M,v;
    while(scanf("%d%d",&N,&M)!=EOF)
    {
        if(N==0&&M==0)  return 0;
        memset(dp,0,sizeof(dp));
        for(i=1;i<=N;i++)
            for(j=1;j<=M;j++)
               scanf("%d",&a[i][j]);
        for(i=1;i<=N;i++)
            for(v=M;v>=0;v--)
               for(j=1;j<=v;j++)
                dp[v]=max(dp[v],dp[v-j]+a[i][j]);
        printf("%d\n",dp[M]);
    }
    return 0;
}

hdu1712