Hamming Distance of Two bit-strings

The hamming distance between two bit-strings is the number of positions those bit-strings are different. Given two bit-strings you are asked to calculate the hamming distance between those two.

Input

The input contains two lines each one representing one of the two bit-strings. Both of the bit-strings are guaranteed to have the same length (1 ≤ |s1| = |s2| ≤ ).

Output

The program should print the hamming distance between those bit-strings.

Examples

Input
Output
100101 110111
2

Explanation

100101 and 110111 differ in positions (1-based) 2 and 5.
s1[2] ≠ s2[2] and s1[5] ≠ s2[5]
 

Constraints

Time limit: 4 seconds

Memory limit: 512 MB

Output limit: 1 MB

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