Using R or RStudio:

Write afunctionnamedcount_collatz_stepsthat takes oneargument:

• n: a length one integer vector containing a positive integer.

The function shouldreturna length one integer vector containing the number to steps to reach the value using the step algorithm defined below.

Starting from an arbitrary positive integern, we define a "step" which produces the next number in a sequence:

• If the numbernis even, divide it by two.
• If the numbernis odd, triple it and add one.

This process then repeats with the new number.

The conjecture is that no matter the initial value ofn, the sequence will always reach the value 1. As this is only a conjecture, it has not yet been proven.

Since this is only a conjecture, your function will only be tested on integers known to have a sequence that ends in