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 $1 \le h \le 10000$ and that $1 \le v \le 89$.

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

-----Examples-----
Sample Input:
500 70
Sample Output:
533

Source: kattis | Difficulty: EASY
Tags: Geometry

Mathematics


Solutions: