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hdu1712 ACboy needs your help

matrix program different sam term ext string.h tom panel

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

這題是分組背包,對於每一門課,有m種天數的選擇。並且選一天和選兩天是相互排斥的。就是說要麽不選,要麽選k天,所以就在01背包基礎上多加一個循環,註意次序,m循環要在k之前,這樣才不會發生一門科目反復選多天的情況。

#include<stdio.h>
#include<string.h>
int max(int a,int b){
	return a>b?

a:b; } int v[106][106],dp[106]; int main() { int n,m,i,j,k; while(scanf("%d%d",&n,&m)!=EOF) { if(n==m && n==0)break; for(i=1;i<=n;i++){ for(j=1;j<=m;j++){ scanf("%d",&v[i][j]); } } memset(dp,0,sizeof(dp)); for(i=1;i<=n;i++){ for(j=m;j>=1;j--){ for(k=1;k<=m;k++){ if(j>=k && dp[j]<dp[j-k]+v[i][k]){ dp[j]=dp[j-k]+v[i][k]; } } } } printf("%d\n",dp[m]); } return 0; }



hdu1712 ACboy needs your help