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 Go (1.14.1) (judge verdict: Accepted)

package main

import "fmt"

func main() {
	var x int
	fmt.Scan(&x)
	fmt.Println(360 * x / lcm(x, 360) / x)
}

func lcm(a, b int) int {
	if a == 0 {
		return b
	}
	if a > b {
		return lcm(a-b, a)
	}
	return lcm(b-a, a)
}