HDOJ 5410 CRB and His Birthday DP背包

先跑一遍01背包,再跑一遍多重背包

CRB and His Birthday

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 327    Accepted Submission(s): 177

Problem Description

Today is CRB's birthday. His mom decided to buy many presents for her lovely son.
She went to the nearest shop with  M  Won(currency unit).
At the shop, there are  N  kinds of presents.
It costs  Wi  Won to buy one present of  i -th kind. (So it costs  k  ×  Wi  Won to buy  k  of them.)
But as the counter of the shop is her friend, the counter will give  Ai × x + Bi  candies if she buys  x ( x >0) presents of  i -th kind.
She wants to receive maximum candies. Your task is to help her.
1 ≤  T  ≤ 20
1 ≤  M  ≤ 2000
1 ≤  N  ≤ 1000
0 ≤  Ai, Bi  ≤ 2000
1 ≤  Wi  ≤ 2000

 

Input

There are multiple test cases. The first line of input contains an integer  T , indicating the number of test cases. For each test case:
The first line contains two integers  M  and  N .
Then  N  lines follow,  i -th line contains three space separated integers  Wi ,  Ai  and  Bi .

 

Output

For each test case, output the maximum candies she can gain.

 

Sample Input

   
   
   
   

    
    
    
    1
100 2
10 2 1
20 1 1
   
   
   
   

 

Sample Output

   
   
   
   

    
    
    
    21

    
    
    
    
 
     
 
      Hint 
     
CRB's mom buys 10 presents of first kind, and receives 2 × 10 + 1 = 21 candies. 
    
    
    
    
     
   
   
   
   

 

Author

KUT（DPRK）

 

Source

2015 Multi-University Training Contest 10

 

/* ***********************************************
Author        :CKboss
Created Time  :2015年08月21日 星期五 13时29分32秒
File Name     :HDOJ5410.cpp
************************************************ */

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <string>
#include <cmath>
#include <cstdlib>
#include <vector>
#include <queue>
#include <set>
#include <map>

using namespace std;

const int maxn=1100;

int m,n;
int w[maxn],A[maxn],B[maxn];
int dp[maxn*2];

int main()
{
	//freopen("in.txt","r",stdin);
	//freopen("out.txt","w",stdout);

	int T_T;
	scanf("%d",&T_T);
	while(T_T--)
	{
		scanf("%d%d",&m,&n);

		for(int i=1;i<=n;i++) scanf("%d%d%d",w+i,A+i,B+i);

		memset(dp,0,sizeof(dp));

		for(int i=1;i<=n;i++)
		{
			for(int j=m;j>=w[i];j--)
			{
				dp[j]=max(dp[j],dp[j-w[i]]+A[i]+B[i]);
			}
		}

		for(int i=1;i<=n;i++) 
		{
			for(int j=w[i];j<=m;j++) 
			{
				dp[j]=max(dp[j],dp[j-w[i]]+A[i]);
			}
		}

		printf("%d\n",dp[m]);
	}
    
    return 0;
}