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
程序代码:
#include<iostream> #include<cstdio> #include<cstring> #include<algorithm> using namespace std; #define N 100001 int dp[N],w[N],v[N]; int main() { int n,m; scanf("%d %d",&n,&m); memset(dp,0,sizeof(dp)); for(int i=0;i<n;i++) scanf("%d %d",&v[i],&w[i]); for(int i=0;i<n;i++) { for(int j=m;j>=v[i];j--) { dp[j]=max(dp[j],dp[j-v[i]]+w[i]); } } printf("%d\n",dp[m]); return 0; }