A complex number can be represented as a string in the form "real+imaginaryi" where real is the real integer part and imaginary is the imaginary integer part, satisfying $i^2 = -1$.

Given two strings num1 and num2 representing two complex numbers, return a string representing their product in the same format.

Constraints:

• num1 and num2 are valid complex numbers.

Now, let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.