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 C# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.Collections;
using System.Collections.Generic;
using System.ComponentModel;
using System.ComponentModel.Design;
using System.IO.Compression;
using System.Linq;
using System.Numerics;
using System.Runtime.CompilerServices;
using System.Text;
using System.Text.RegularExpressions;
using Console = System.Console;

namespace Atcoder
{

    class Program
    {
        private const long COMDIV = 1000000007;

        static void Main(string[] args)
        {
            var X = int.Parse(Console.ReadLine());
            int i = 1;
            while (true)
            {
                if ((X * i) % 360 == 0)
                {
                    Console.WriteLine(i);
                    return;
                }
                i++;
            }
        }
    }
}