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Problem D
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?
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.
| Sample Input 1 | Sample Output 1 |
|---|---|
500 70 |
533 |
| Sample Input 2 | Sample Output 2 |
|---|---|
1000 10 |
5759 |
