Competitions

# 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