Problem3893--Monitor

3893: Monitor

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Time Limit : 2.000 sec  Memory Limit : 256 MiB

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Description

time limit per test
0.5 second
memory limit per test
64 megabytes
input
standard input
output
standard output

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

Source/Category

 
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