Solve the programming task below in a Python markdown code block.
Takahashi is standing on a two-dimensional plane, facing north. Find the minimum positive integer K such that Takahashi will be at the starting position again after he does the following action K times:

* Go one meter in the direction he is facing. Then, turn X degrees counter-clockwise.

Constraints

* 1 \leq X \leq 179
* X is an integer.

Input

Input is given from Standard Input in the following format:


X


Output

Print the number of times Takahashi will do the action before he is at the starting position again.

Examples

Input

90


Output

4


Input

1


Output

360