Have you ever heard of the Hamming distance. It is the number of positions for which the corresponding digits differ. Your task is to write a program that computes this distance for two binary strings.

The input contains several test cases. Each test case consists of two lines. Each line contains one binary number. Any two numbers given in one test case have the same length, which is at most 100 binary digits. The last test case is followed by a line containing the uppercase letter "X".

Your program must output a single line for each test case. The line should contain the statement "Hamming distance is X.", where X is the number of positions where the two numbers have different digits.  

0
1
000
000
1111111100000000
0000000011111111
101
000
X

Hamming distance is 1.
Hamming distance is 0.
Hamming distance is 16.
Hamming distance is 2.