Monitor

Time Limit: 3000 ms Memory Limit: 65536 KiB

Problem Description

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 ≤ 2·10^9).

Output

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

Sample Input

800 600 4 3

Sample Output

800 600

Hint

Input
1920 1200 16 9
Output
1920 1080
Input
1 1 1 2
Output
0 0

Source

SDUST