POJ 3624 Charm Bracelet 动态规划（01背包问题）

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最新推荐文章于 2022-03-25 21:17:10 发布

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在给定的约束条件下，通过动态规划算法求解选择魅力手链的最大总魅力值问题。

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Charm Bracelet

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 15203		Accepted: 6950

Description

Bessie has gone to the mall's jewelry store and spies a charm bracelet. Of course, she'd like to fill it with the best charms possible from the N (1 ≤ N ≤ 3,402) available charms. Each charm i in the supplied list has a weight W_i (1 ≤ W_i ≤ 400), a 'desirability' factor D_i (1 ≤ D_i ≤ 100), and can be used at most once. Bessie can only support a charm bracelet whose weight is no more than M (1 ≤ M ≤ 12,880).

Given that weight limit as a constraint and a list of the charms with their weights and desirability rating, deduce the maximum possible sum of ratings.

Input

* Line 1: Two space-separated integers: N and M
* Lines 2..N+1: Line i+1 describes charm i with two space-separated integers: W_i and D_i

Output

* Line 1: A single integer that is the greatest sum of charm desirabilities that can be achieved given the weight constraints

Sample Input

Sample Output

Source

USACO 2007 December Silver

//POJ3624 01背包问题 
#include<stdio.h>
#include<string.h>
/*注意数组要开大，然后输入不需要判断EOF 
Input： 
4 6
1 4
2 6
3 12
2 7
动态规划表：
  0  1  2  3  4  5  6
0 0  0  0  0  0  0  0
1 0  4  4  4  4  4  4
2 0  4  6 10 10 10 10
3 0  4  6 12 16 18 22 
4 0  4  7 11 13 19 23
*/
int W[20000],D[20000],f[20000];
int main()
{
   int N,M;
   int i,j;
   scanf("%d%d",&N,&M);
    memset(W,0,sizeof(W));
     memset(D,0,sizeof(D));
     memset(f,0,sizeof(f));
     for(i=1;i<=N;i++)
         scanf("%d%d",&W[i],&D[i]);
     for(i=0;i<=M;i++)  f[i]=0;
        
     for(i=1;i<=N;i++)
       for(j=M;j>=W[i];j--)
       {
         if(f[j]<(f[j-W[i]]+D[i])) f[j]=f[j-W[i]]+D[i]; 
       }          
     printf("%d\n",f[M]);
   return 0; 
}