Given a positive integer n and you can do operations as follow: If n is even, replace n with n/2. If n is odd, you can replace n with either n + 1 or n - 1. What is the minimum number of replacements needed for n to become 1? code example

Example: minimum-number-of-steps-to-reduce-number-to-1

#minimum-number-of-steps-to-reduce-number-to-1
def stepCount(n):
    count = 0
    while n > 1:
        if n % 2 == 0:             # bitmask: *0
            n = n // 2
        elif n == 3 or n % 4 == 1: # bitmask: 01
            n = n - 1
        else:                      # bitmask: 11
            n = n + 1
        count += 1
    return count