Problem 6 Given a number n, count the number of 0 's in its binary representation. Examples: - count_zeros(0) returns 1 . (binary representation is 0 ) - count_zeros(1) returns 0 . (binary representation is 1) - count_zeros(2) returns 1. (binary representation is 10) - count_zeros(3) returns 0 . (binary representation is 11) - count_zeros(4) returns 2. (binary representation is 100) - count_zeros(5) returns 1. (binary representation is 101) - count_zeros(6) returns 1. (binary representation is 110) - count_zeros(15) returns 0 . (binary representation is 1111) - count_zeros(16) returns 4. (binary representation is 10000) You must use the following recursive strategy to implement your program: - Check for the cases when n is smallest, and solve them directly. - Otherwise, - if n is even, its last binary digit is 0 , add 1 to the number of 0 's of n/2. Note: count the number of 0 's of n/2 using the same strategy recursively. - if n is odd, its last binary digit is 1 , simply count the number of zeros of (n1)/2 using the same strategy recursively. \# Input: a non-negative number n \# Output: the number of s in the binary representation of n