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`