Buy the souvenirs

Time Limit: 10000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 927    Accepted Submission(s): 319

When the winter holiday comes, a lot of people will have a trip. Generally, there are a lot of souvenirs to sell, and sometimes the travelers will buy some ones with pleasure. Not only can they give the souvenirs to their friends and families as gifts, but also can the souvenirs leave them good recollections. All in all, the prices of souvenirs are not very dear, and the souvenirs are also very lovable and interesting. But the money the people have is under the control. They can’t buy a lot, but only a few. So after they admire all the souvenirs, they decide to buy some ones, and they have many combinations to select, but there are no two ones with the same kind in any combination. Now there is a blank written by the names and prices of the souvenirs, as a top coder all around the world, you should calculate how many selections you have, and any selection owns the most kinds of different souvenirs. For instance:



And you have only 7 RMB, this time you can select any combination with 3 kinds of souvenirs at most, so the selections of 3 kinds of souvenirs are ABC (6), ABD (7). But if you have 8 RMB, the selections with the most kinds of souvenirs are ABC (6), ABD (7), ACD (8), and if you have 10 RMB, there is only one selection with the most kinds of souvenirs to you: ABCD (10).

2
4 7
1 2 3 4

4 0
1 2 3 4

You have 2 selection(s) to buy with 3 kind(s) of souvenirs.
Sorry, you can‘t buy anything.

题意：求最优方案数。

具体贴个别人的博客，我就是看这个学哒。

http://blog.csdn.net/wumuzi520/article/details/7019131

AC代码：

#include <cstdio>
#include <iostream>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <stdlib.h>

using namespace std;
int a[35];
int dp[35][505];
int mark[35][505];

int main(){
    int T;
    scanf("%d",&T);
    while(T--){
        int n,m;
        scanf("%d%d",&n,&m);
        for(int i=1;i<=n;i++){
            scanf("%d",&a[i]);
        }
        for(int i=0;i<=n;i++){
            for(int j=0;j<=m;j++){
                mark[i][j]=1;
            }
        }
        for(int i=0;i<=n;i++){
            dp[i][0]=0;
        }
        for(int i=0;i<=m;i++){
            dp[0][i]=0;
        }
        for(int i=1;i<=n;i++){
            for(int j=1;j<=m;j++){
                dp[i][j]=dp[i-1][j];
                mark[i][j]=mark[i-1][j];
                if(j>=a[i]){
                    if(dp[i-1][j-a[i]]+1>dp[i][j]){
                        dp[i][j]=dp[i-1][j-a[i]]+1;
                        mark[i][j]=mark[i-1][j-a[i]];
                    }
                    else if(dp[i][j]==dp[i-1][j-a[i]]+1){
                        mark[i][j]=mark[i-1][j]+mark[i-1][j-a[i]];
                    }

                }
            }
        }
        if(dp[n][m])
            printf("You have %d selection(s) to buy with %d kind(s) of souvenirs.\n",mark[n][m],dp[n][m]);
        else
            printf("Sorry, you can't buy anything.\n");
    }
    return 0;
}

HDU 2126 Buy the souvenirs,布布扣,bubuko.com

HDU 2126 Buy the souvenirs

原文：http://blog.csdn.net/kimi_r_17/article/details/38236519