#2029 Ladder

25  2 s   128 MB  

Description

You are attempting to climb up the roof to fix some leaks, and have to go buy a ladder. The ladder needs to reach to the top of the wall, which is h centimeters high, and in order to be steady enough for you to climb it, the ladder can be at an angle of at most v degrees from the ground. How long does the ladder have to be?

Input

The input consists of a single line containing two integers h and v, with meanings as described above. You may assume that 1 ≤ h ≤ 10000 and that 1 ≤ v ≤ 89.

Output

Write a single line containing the minimum possible length of the ladder in centimeters, rounded up to the nearest integer.

Sample Input

Sample Output

500 70
533

Sample Input 2

1000 10

Sample Output 2

5759