Kata

The most basic operation in mathematics is counting.

1, 2, 3... b + 1 // b # of increments

The next operation is addition.

a + b = a + 1 + ... + 1 // b # of ones

The next extension to this sequence is multiplication

a * b = a + a + ... + a // b # of times

We can extend multiplication to exponentiation

a ^ b = a * a * ... * a // b # of times

This sequence of operations is known as hyperoperation and forms an infinite sequence of potential operations.

Create a function, hyperoperate(a, b , n), that returns the nth operation of a and b.

n = 0 is counting.
n = 1 is addition.
n = 2 is multiplication.
n = 3 is exponentiation.

The function should be able to handle all the cases where b = 0.