A complex number is a number of the form $a+bi$, whereby $a$ and $b$ are constants, and $i$ is a special value that is defined as the square root of -1. Of course, you never try to actually calculate what the square root of -1 is, as that gives a runtime error; in complex numbers, you always let the $i$ remain. For instance, the complex number $3+2i$ cannot be simplified any further.

Multiplication of two complex numbers $a+bi$ and $c+di$ is defined as

Assignment

We represent a complex number as a tuple of two numeric values. Write a function product that calculates the multiplication of two complex numbers.

Example

                
            >>> product((3, 4), (7, 2))
(13, 34)