Problem:
Score : 200 points

Problem Statement

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.

Sample Input 1

90

Sample Output 1

4

Takahashi's path is a square.

Sample Input 2

1

Sample Output 2

360

Solution in Python (3.8.2) (judge verdict: Wrong Answer)

x = int(input())
t = 0
while True:
    if 360 % x == 0:
        res = int(360 / x)
        t += res
        break
    else:
        for i in range(2, 362):
            if i * x > 360:
                x = i * x - 360
                t += i
                break
print(t)