POJ 3624 Charm Bracelet (01背包)
2015-05-16 23:00
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Charm Bracelet
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 Wi (1 ≤ Wi ≤ 400), a 'desirability' factor Di (1 ≤ Di ≤ 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: Wi and Di
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
解题思路:
又是一道01背包的模板题,其实只要把握清楚思想就好了,用一维来搞,用二维会爆掉。。。
代码:
Time Limit: 1000MS | Memory Limit: 65536K | |
Total Submissions: 26078 | Accepted: 11726 |
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 Wi (1 ≤ Wi ≤ 400), a 'desirability' factor Di (1 ≤ Di ≤ 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: Wi and Di
Output
* Line 1: A single integer that is the greatest sum of charm desirabilities that can be achieved given the weight constraints
Sample Input
4 6 1 4 2 6 3 12 2 7
Sample Output
23
Source
解题思路:
又是一道01背包的模板题,其实只要把握清楚思想就好了,用一维来搞,用二维会爆掉。。。
代码:
# include<cstdio> # include<iostream> # include<cstring> using namespace std; # define MAX 3555 int a[MAX],b[MAX]; int dp[MAX*MAX]; int main(void) { int n,m; while ( scanf("%d%d",&n,&m)!=EOF ) { memset(dp,0,sizeof(dp)); for ( int i = 0;i < n;i++ ) { scanf("%d%d",&a[i],&b[i]); } for ( int i = 0;i < n;i++ ) { for ( int j = m;j >= a[i];j-- ) { dp[j]=max(dp[j],dp[j-a[i]]+b[i]); } } printf("%d\n",dp[m]); } return 0; }
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