1016. Binary String With Substrings Representing 1 To N

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Given a binary string s and a positive integer n, return true if the binary representation of all the integers in the range [1, n] are substrings of s, or false otherwise.

A substring is a contiguous sequence of characters within a string.

 

Example 1:

Input: s = "0110", n = 3
Output: true

Example 2:

Input: s = "0110", n = 4
Output: false

 

Constraints:

  • 1 <= s.length <= 1000
  • s[i] is either '0' or '1'.
  • 1 <= n <= 109

Hints

Hint 1
We only need to check substrings of length at most 30, because 10^9 has 30 bits.