Binary Addition
Add two binary numbers given as strings (up to 200 bits — too big for built-in 64-bit integers).
Input: two lines, each a binary string without leading zeros (except 0).
Output: their sum in binary.
Constraints:
- 1 ≤ length ≤ 200
Sample Tests
Input 1
101 11
Output 1
1000
Input 2
0 0
Output 2
0
Discussion (opens after you solve — no spoilers before)
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