Monitor

0ms

65536K

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 ≤ 2·10⁹).

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

Sample Input:

1920 1200 16 9

Sample Output:

1920 1080

Sample Input:

1 1 1 2

Sample Output:

0 0

Informação

Provedor Codeforces

Código CF16C