e-olymp
Competitions

Week 10: January 18 - 24

Complex numbers: multiplication and division

Two complex numbers are given. Find their product or quotient.

Input

Each line contains an example of multiplication or division of complex numbers. The complex number is given in the format a+bi or a-bi, where a is integer, b is non-negative integer. The real and imaginary part of each complex number is no more than 109 by absolute value.

Output

For each input example, print in a separate line the answer.

Time limit 1 second
Memory limit 128 MiB
Input example #1
2+3i * 7-4i
12-4i / 5-4i
-1-1i * -1-1i
5-2i / -7+12i
Output example #1
26.00+13.00i
1.85+0.68i
0.00+2.00i
-0.31-0.24i
Author Michael Medvedev