Ladder

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 |
533 |

Sample Input 2 | Sample Output 2 |
---|---|

1000 10 |
5759 |