Olympiad#1672

Olympiad

1 second
64 megabytes
Easy

At the Olympiad in Informatics, participants were offered problems, each worth A_i points (i = 1..N). Olympian Petya estimated the time B_i minutes required to solve each problem. If the Olympiad lasts hours, what is the maximum score Petya can achieve?

Input

The first line contains the integers and .

The second line contains A_i, and the third contains B_i (i = 1..N).

All numbers are positive integers.

1 \leq N \leq 100, 1 \leq H \leq 10, 1 \leq A_i, B_i \leq 100.

Output

Output the maximum possible sum of points.

Examples

Example 1

Loading
Loading