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문제

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 W_i (1 <= W_i <= 400), a 'desirability' factor D_i (1 <= D_i <= 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.

입력

  • Line 1: Two space-separated integers: N and M
  • Lines 2..N+1: Line i+1 describes charm i with two space-separated integers: W_i and D_i

 

출력

  • Line 1: A single integer that is the greatest sum of charm desirabilities that can be achieved given the weight constraints

 

예제 입력

4 6
1 4
2 6
3 12
2 7

예제 출력

23

힌트

Without the second possible charm, the 4+12+7=23 is the highest value for weight 1+2+3 <= 6