Monitor

TimeLimit:500MS  MemoryLimit:64MB
64-bit integer IO format:%I64d
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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 ≤ 2·109).

Output

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

SampleInput 1
800 600 4 3
SampleOutput 1
800 600
SampleInput 2
1920 1200 16 9
SampleOutput 2
1920 1080
SampleInput 3
1 1 1 2
SampleOutput 3
0 0
Submit
题目统计信息详细
总AC数30
通过人数21
尝试人数21
总提交量81
AC率25.93%
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出处

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