LogiQuest

471. Add Binary

EasyMath

Print the sum of two binary strings as a binary string.

Input format

Line 1: a Line 2: b

Output format

The binary sum.

Example 1

Input

11
1

Output

100

Example 2

Input

1010
1011

Output

10101

Constraints

1 ≤ lengths ≤ 10⁴

Read input from standard input and print the answer to standard output. Your code is judged against 4 test cases, most of them hidden.

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