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Check If a String Contains All Binary Codes of Size K

Medium

Given a binary string s and an integer k , produce true if every binary code of length k is a substring of s . Otherwise, return false .

Example 1

Input: s = "00110110", k = 2

Output: true

Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indices 0, 1, 3 and 2 respectively.

Example 2

Input: s = "0110", k = 1

Output: true

Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring.

Example 3

Input: s = "0110", k = 2

Output: false

Explanation: The binary code "00" is of length 2 and does not exist in the array.

Constraints

  • 1 <= s.length <= 5 * 10^5
  • s[i] is either '0' or '1' .
  • 1 <= k <= 20

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