Generate Binary Strings Without Adjacent Zeros

You are given a positive integer n.

A binary string x is valid if all substrings of x of length 2 contain at least one "1".

Return all valid strings with length n, in any order.

Example 1
Inputn = 3
Output["010","011","101","110","111"]
The valid strings of length 3 are: "010", "011", "101", "110", and "111".
Example 2
Inputn = 1
Output["0","1"]
The valid strings of length 1 are: "0" and "1".

Constraints

  • 1 <= n <= 18

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