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<p>Given a binary string <code>s</code> and a positive integer <code>n</code>, return <code>true</code><em> if the binary representation of all the integers in the range </em><code>[1, n]</code><em> are <strong>substrings</strong> of </em><code>s</code><em>, or </em><code>false</code><em> otherwise</em>.</p>
<p>A <strong>substring</strong> is a contiguous sequence of characters within a string.</p>
<p> </p>
<p><strong>Example 1:</strong></p>
<pre><strong>Input:</strong> s = "0110", n = 3
<strong>Output:</strong> true
</pre><p><strong>Example 2:</strong></p>
<pre><strong>Input:</strong> s = "0110", n = 4
<strong>Output:</strong> false
</pre>
<p> </p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 <= s.length <= 1000</code></li>
<li><code>s[i]</code> is either <code>'0'</code> or <code>'1'</code>.</li>
<li><code>1 <= n <= 10<sup>9</sup></code></li>