The Hamming distance between two binary integers is the number of bit positions that differs (read more about the Hamming distance on Wikipedia). For example:

117 = 0 1 1 1 0 1 0 1 17 = 0 0 0 1 0 0 0 1 H = 0+1+1+0+0+1+0+0 = 3

You are given two positive numbers (N, M) in decimal form. You should calculate the Hamming distance between these two numbers in binary form.

**Input: ** Two arguments as integers.

**Output: ** The Hamming distance as an integer.

**Example:**

checkio(117, 17) == 3 checkio(1, 2) == 2 checkio(16, 15) == 5

**How it is used: **
This is a basis for Hamming code and other linear error-correcting programs.
The Hamming distance is used in systematics as a measure of genetic distance.
On a grid (ie: a chessboard,) the Hamming distance is the minimum number of moves
it would take a rook to move from one cell to the other.

**Precondition:**

0 < n < 10^{6}

0 < m < 10^{6}