#0002B7

Charm Bracelet

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


Input:4 6
1 4
2 6
3 12
2 7

Output:23

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