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1016.binary-string-with-substrings-representing-1-to-n

Given a binary string S (a string consisting only of '0' and '1's) and a positive integer N, return true if and only if for every integer X from 1 to N, the binary representation of X is a substring of S.

Example 1:

Input: S = "0110", N = 3
Output: true

Example 2:

Input: S = "0110", N = 4
Output: false

Note:

  • 1 <= S.length <= 1000
  • 1 <= N <= 10^9