Problem: Reca company makes monitors, the most popular of their models is AB999 with the screen size a × b centimeters. Because of some production peculiarities a screen parameters are integer numbers. Recently the screen sides ratio x: y became popular with users. That's why the company wants to reduce monitor AB999 size so that its screen sides ratio becomes x: y, at the same time they want its total area to be maximal of all possible variants. Your task is to find the screen parameters of the reduced size model, or find out that such a reduction can't be performed.

Input

The first line of the input contains 4 integers — a, b, x and y (1 ≤ a, b, x, y ≤ 2·109).

Output

If the answer exists, output 2 positive integers — screen parameters of the reduced size model. Output 0 0 otherwise.

Examples

Input

800 600 4 3


Output

800 600


Input

1920 1200 16 9


Output

1920 1080


Input

1 1 1 2


Output

0 0

Solution (in JAVA):

Solution:

import java.io.BufferedInputStream;
import java.io.BufferedOutputStream;
import java.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class Main {
	public static void main(String[] args) throws FileNotFoundException, IOException {
		InputReader in = new InputReader(new BufferedInputStream(System.in));
		PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out));
		TaskB solver = new TaskB();
//		long t1 = System.currentTimeMillis();
		solver.solve(1, in, out);
		out.flush();
//		long t2 = System.currentTimeMillis();
//		System.err.println(t2 - t1);
		out.close();

	}
}

class Seg implements Comparable<Seg> {
	double a;
	double b;

	public Seg(double a, double b) {
		this.a = a;
		this.b = b;
	}

	public int compareTo(Seg t) {
		return Double.compare(a, t.a);
	}

}

class TaskB {

	long INF = (long) 1e15;

	void solve(int testNumber, InputReader in, PrintWriter pw) {
		long a = in.nextLong();
		long b = in.nextLong();
		long x = in.nextLong();
		long y = in.nextLong();
		long t = gcd(x, y);
		x /= t;
		y /= t;
		long div1 = a / x;
		long div2 = b / y;
		if (a < x || b < y)
			pw.println(0 + " " + 0);
		else {
			long div = Math.min(div1, div2);
			pw.println(x * div + " " + y * div);
		}
	}

	long gcd(long x, long y) {
		if (y == 0)
			return x;
		return gcd(y, x % y);
	}

	long pow(int n, int m) {
		if (m == 0)
			return 1;
		long ans = pow(n, m / 2);
		ans = (ans * ans);
		if (m % 2 == 1) {
			ans = (ans * n);
		}
		return ans;
	}

	double pow(double n, int m) {
		if (m == 0)
			return 1;
		double ans = pow(n, m / 2);
		ans = (ans * ans);
		if (m % 2 == 1) {
			ans = (ans * n);
		}
		return ans;
	}
}

class InputReader {
	BufferedReader br;
	StringTokenizer st;

	public InputReader(InputStream in) {
		br = new BufferedReader(new InputStreamReader(in));
		st = null;
	}

	public String next() {
		while (st == null || !st.hasMoreTokens()) {
			try {
				st = new StringTokenizer(br.readLine());
			} catch (IOException e) {
				throw new RuntimeException(e);
			}
		}
		return st.nextToken();
	}

	public int nextInt() {
		return Integer.parseInt(next());
	}

	public long nextLong() {
		return Long.parseLong(next());
	}

	public double nextDouble() {
		return Double.parseDouble(next());
	}
}