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Given two binary strings a and b, return their sum as a binary string.

Given two binary strings a and b, return their sum as a binary string.

Example 1

Input: a = "11", b = "1"

Output: "100"

Example 2

Input: a = "1010", b = "1011"

Output: "10101"

Constraints

  • 1 <= a.length, b.length <= 10^4
  • a and b consist only of '0' or '1' characters.
  • Each string does not contain leading zeros except for the zero itself.

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