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XOR 2

Two integers in their binary representations with n and m digits are given. Find XOR of these numbers.

Input

Two integers n and m (1n, m500) are given. Then two numbers are given in binary representation, one number in one line.

Output

Print one number - the result. Delete all leading zeros.

Time limit 1 second
Memory limit 64 MiB
Input example #1
4 3
0011
101
Output example #1
110
Input example #2
3 3
111
111
Output example #2
0
Input example #3
3 3
100
101
Output example #3
1