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 PyPy3 (7.3.0) (judge verdict: Accepted)

def gcd(x,y):
    if x<y:
        x,y=y,x
    if y==0:
        return x
    return gcd(y,x%y)
def lcm(x,y):
    return x*y//gcd(x,y)

def main():
    x=int(input())
    l=lcm(360,x)
    print(l//x)
    
if __name__=='__main__':
    main()