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 Java (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.ArrayList;
import java.util.Collection;
import java.util.Collections;

import java.util.Scanner;

public class Main {
    public static void main(String[] args) {
        Object o = run();
        if (o != null)
            System.out.println(o);
    }

    static Object run() {
        try (Scanner sc = new Scanner(System.in)) {
            long resultNum = 0;
            String resultStr = "";

            int x = sc.nextInt();
            int w = 0;
            do {
                w += x;
                resultNum++;
            } while (w % 360 != 0);
            return resultNum;
        }
    }
}

class ChenNumberUtil {
    static Collection<Integer> getDivisors(int n) {
        ArrayList<Integer> al = new ArrayList<>();
        for (int i = 1; i * i <= n; i++) {
            if (n % i == 0) {
                al.add(i);
                if (n / i != i)
                    al.add(n / i);
            }
        }
        Collections.sort(al);
        return al;
    }
}

class ChenBitUtil {
    static int popCount(int bit) {
        return Integer.bitCount(bit);
    }

    static boolean isFlag(int bit, int i) {
        return 0 != (bit & (1 << i));
    }

    static int setTrue(int bit, int i) {
        return bit |= (1 << i);
    }

    static int setFalse(int bit, int i) {
        return bit &= ~(1 << i);
    }

    static int setReverse(int bit, int i) {
        return isFlag(bit, i) ? setFalse(bit, i) : setTrue(bit, i);
    }

    static int reverseAll(int bit) {
        return ~bit;
    }
}