You are given a chemical equation of the following format:

\((b1) C_x + (b2) H_y\     -------->\    (b3) C_p H_q\)

Your task is to calculate the balancing factor b1, b2, and b3 such that the number of atoms of each of the elements is equal on both sides.

Note: The answer must be in a reduced form.

Input format

The first line consists of four integers x, y, p, and q.

Output format

The output must contain b1, b2, and b3.

Constraints

\(1 \le x \le 10^4\\ 1 \le y \le 10^4\\ 1 \le p \le 10^4\\ 1 \le q \le 10^4\)