poj3624 Charm Bracelet

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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 61 42 63 122 7

Sample Output

23
01背包问题 #include<stdio.h>int c[3500],w[3500],f[13000];int main(){int i,j,k,n,v,m;while(scanf("%d%d",&n,&m)!=EOF){for(i=0;i<=m;i++)f[i]=0;for(i=0;i<n;i++)scanf("%d%d",c+i,w+i);for (i = 0; i < n; ++i){for (v = m; v >= c[i]; --v) //c[i]可优化为bound,bound = max {V - sum c[i,...n],c[i]}{f[v] = (f[v] > f[v - c[i]] + w[i]?f[v] : f[v - c[i]] + w[i]);}}printf("%d\n",f[m]);}}