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 <= 10001 <= N <= 10^9