Powers of i and a divider

You will write a function for any power of $i$, positive or negative, and a function that divides one complex number by another by the rule. The checker tests them against Python.

The idea. $i^n$ depends only on the remainder n % 4, which Python gives from $0$ to $3$ even for negative n. To divide $a + ib$ by $c + id$, multiply the top and the bottom by $c - id$:

Your tasks.

1. Finish power_of_i(n): return 1, 1j, -1 or -1j, chosen by n % 4.
2. Finish divide(a, b, c, d): return the pair of real and imaginary parts of the quotient.
3. Set total to the sum of power_of_i(n) for n from $1$ to $50$.