Photo for the website

Petryk is exploring web design and needs to resize a photograph to fit within a frame. The frames available are of sizes $m\times n$ and $n\times m$. Your task is to determine the new dimensions of a photograph originally sized $a\times b$ so that it fits perfectly into one of these frames while maintaining its original proportions. The photograph can be either enlarged or reduced.

Input

You are given four integers: $a$, $b$, $m$, and $n$, which represent the dimensions of the photograph and the frame, respectively. Each of these values is no greater than $1000$.

Output

Output two numbers representing the maximum possible dimensions of the photograph, rounded to three decimal places.

Examples