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

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