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Find Unique Binary String

Given an array of strings nums containing n unique binary strings each of length n, return a binary string of length n that does not appear in nums.

Given an array of strings nums containing n unique binary strings each of length n, return a binary string of length n that does not appear in nums. If there are multiple answers, you may return any of them.

Find Unique Binary String diagram

Example 1

Input: nums = ["01","10"]

Output: "11"

Explanation: "11" does not appear in nums. "00" would also be correct.

Example 2

Input: nums = ["00","01"]

Output: "11"

Explanation: "11" does not appear in nums. "10" would also be correct.

Example 3

Input: nums = ["111","011","001"]

Output: "10^1"

Explanation: "10^1" does not appear in nums. "000", "010", "100", and "110" would also be correct.

Constraints

  • n == nums.length
  • 1 <= n <= 16
  • nums[i].length == n
  • nums[i] is either '0' or '1'.
  • All the strings of nums are unique.

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