A - Ladder

Problem id: ladder
Time limit: 2 seconds
Memory limit: 512 Mb

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 1

 
500 70

Sample Output 1

 
533

Sample Input 2

 
1000 10

Sample Output 2

 
5759