Packet Backpack--hdu1712__ Backpack

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Author: User

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Acboy needs your Help Time limit:1000/1000 MS (java/others) Memory limit:32768/32768 K (java/others)
Total submission (s): 3038 accepted Submission (s): 1577


Problem Description Acboy has N courses this term, and him plans to spend in most M days on study. Of course,the profit he would gain from different course to on the "the" and "depending on it." How to arrange the "M" for the "N courses to maximize" profit?

Input the input consists of multiple data sets. A data set starts with a line containing two positive integers n and M, n are the number of courses, M is the the days Acboy ha S.
Next follow a matrix a[i][j], (1<=i<=n<=100,1<=j<=m<=100). A[I][J] Indicates if Acboy spend J days in ith course he'll 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 would 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

packet backpack, each course looks for a group, and spends days as a fee

according to

For all Groups K
For V=v.. 0
For all I belong to Group K
F[v]=max{f[v],f[v-c[i]]+w[i]}

The code is as follows:

#include <iostream>
#include <algorithm>
#include <cstring>
#include <cstdio>
using namespace std;
int a[110][110];
int dp[110];
int main ()
{
    //freopen ("In.txt", "R", stdin);
    int n,m;
    while (cin>>n>>m,n| | m)
    {for
        (int i=1; i<=n; i++) for
            (int j=1; j<=m; j + +)
                cin>>a[i][j];
        Memset (Dp,0,sizeof (DP));
        for (int i=1; i<=n; i++) for (int
            j=m; j>0; j--) for
                (int k=1; k<=m; k++)
                    if (j-k>=0)
                        Dp[j] =max (Dp[j],dp[j-k]+a[i][k]);
        cout<<dp[m]<<endl;
    }
    return 0;
}


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