HDU 3466 Proud Merchants(01背包+排序)

本文解析了一个名为ProudMerchants的问题,这是一个经典的计算机科学问题,涉及到动态规划算法的应用。文章详细介绍了问题背景、输入输出格式及样例,并提供了一份完整的C++代码实现。

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Proud Merchants

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/65536 K (Java/Others)
Total Submission(s): 7457    Accepted Submission(s): 3117


Problem Description
Recently, iSea went to an ancient country. For such a long time, it was the most wealthy and powerful kingdom in the world. As a result, the people in this country are still very proud even if their nation hasn’t been so wealthy any more.
The merchants were the most typical, each of them only sold exactly one item, the price was Pi, but they would refuse to make a trade with you if your money were less than Qi, and iSea evaluated every item a value Vi.
If he had M units of money, what’s the maximum value iSea could get?

 

Input
There are several test cases in the input.

Each test case begin with two integers N, M (1 ≤ N ≤ 500, 1 ≤ M ≤ 5000), indicating the items’ number and the initial money.
Then N lines follow, each line contains three numbers Pi, Qi and Vi (1 ≤ Pi ≤ Qi ≤ 100, 1 ≤ Vi ≤ 1000), their meaning is in the description.

The input terminates by end of file marker.

 

Output
For each test case, output one integer, indicating maximum value iSea could get.

 

Sample Input

 
2 10 10 15 10 5 10 5 3 10 5 10 5 3 5 6 2 7 3
 

Sample Output

 
5 11
 

Author
iSea @ WHU
 

Source
 

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#include<cstdio>
#include<cstring>
#include<cmath>
#include<algorithm>
#include<queue>
#include<iostream>
using namespace std;
struct node
{
    int p,q,v;
    bool operator<(const node &a)const
    {
        return (a.q-a.p)>q-p;
    }
}a[550];
int dp[5050];
int main()
{
    int n,m,i,j;
    while(scanf("%d %d",&n,&m)!=EOF)
    {
        memset(dp,0,sizeof(dp));
        for(i=0;i<n;i++)
        {
            scanf("%d %d %d",&a[i].p,&a[i].q,&a[i].v);
        }
        sort(a,a+n);
        //for(i=0;i<n;i++)
            //printf("%d %d %d\n",a[i].p,a[i].q,a[i].v);
        for(i=0;i<n;i++)
            for(j=m;j>=a[i].q;j--)
            dp[j]=max(dp[j],dp[j-a[i].p]+a[i].v);
        printf("%d\n",dp[m]);
    }
    return 0;
}

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