# 2066. 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 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.

### 输入格式

• 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

### 输出格式

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

### 样例

Input
4 6
1 4
2 6
3 12
2 7
INPUT DETAILS:
Four potential charms; maximum weight 6

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


24 人解决，36 人已尝试。

33 份提交通过，共有 80 份提交。

4.8 EMB 奖励。