Poj3624 Charm Bracelet (01背包)

题目链接:http://poj.org/problem?id=3624

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

4 6
1 4
2 6
3 12
2 7

Sample Output

23

Source

 
二维dp数组会超内存,得使用优化后的一维dp数组
 #include <iostream>
#include <algorithm>
using namespace std;
int n,m;
int v[];
int w[];
int dp[];
int main()
{
while(cin>>n>>m){
for(int i=;i<n;i++){
cin>>w[i]>>v[i];
}
for(int i=;i<n;i++){
for(int j=m;j>=w[i];j--){
dp[j]=max(dp[j],dp[j-w[i]]+v[i]);
}
}
cout<<dp[m]<<endl;
}
return ;
}
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