You are given two binary strings a and b. Both strings may be quite long, containing up to 1000 bits. Your task is to compute the bitwise AND of these two binary strings and output the result.
Input
The first line contains the first binary string a (1 ≤ |a| ≤ 1000).
The second line contains the second binary string b (1 ≤ |b| ≤ 1000).
Output
Output a single binary string: the bitwise AND of a and b.