Description

There are N kinds of coins. Each kind of coins has a value V and a weight W. Tony wants to go traveling. Unfortunately, he can only carry coins of which the total weight is not greater than K. How much total value of coins can he carry at most?

Input Format

First line: two positive integers N (N <= 100) and K (K <= 1000).
Next N lines: the i-th line two positive integers V and W (V,W <= 1000) indicating the value and the weight of the i-th coin.

Output Format

One integer indicating the total value of coins at most.

3 7
1 2
2 3
4 5

5