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?


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 $1 \le v \le 89$.


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

Sample Input 1 Sample Output 1
500 70
Sample Input 2 Sample Output 2
1000 10
CPU Time limit 1 second
Memory limit 1024 MB
Difficulty 1.4easy
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License Creative Commons License (cc by-sa)

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