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2466-count-ways-to-build-good-strings/README.md

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+<h2><a href="https://leetcode.com/problems/count-ways-to-build-good-strings/?envType=daily-question&envId=2024-12-30">2466. Count Ways To Build Good Strings</a></h2><h3>Medium</h3><hr><p>Given the integers <code>zero</code>, <code>one</code>, <code>low</code>, and <code>high</code>, we can construct a string by starting with an empty string, and then at each step perform either of the following:</p>
+
+<ul>
+	<li>Append the character <code>&#39;0&#39;</code> <code>zero</code> times.</li>
+	<li>Append the character <code>&#39;1&#39;</code> <code>one</code> times.</li>
+</ul>
+
+<p>This can be performed any number of times.</p>
+
+<p>A <strong>good</strong> string is a string constructed by the above process having a <strong>length</strong> between <code>low</code> and <code>high</code> (<strong>inclusive</strong>).</p>
+
+<p>Return <em>the number of <strong>different</strong> good strings that can be constructed satisfying these properties.</em> Since the answer can be large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>
+
+<p>&nbsp;</p>
+<p><strong class="example">Example 1:</strong></p>
+
+<pre>
+<strong>Input:</strong> low = 3, high = 3, zero = 1, one = 1
+<strong>Output:</strong> 8
+<strong>Explanation:</strong> 
+One possible valid good string is &quot;011&quot;. 
+It can be constructed as follows: &quot;&quot; -&gt; &quot;0&quot; -&gt; &quot;01&quot; -&gt; &quot;011&quot;. 
+All binary strings from &quot;000&quot; to &quot;111&quot; are good strings in this example.
+</pre>
+
+<p><strong class="example">Example 2:</strong></p>
+
+<pre>
+<strong>Input:</strong> low = 2, high = 3, zero = 1, one = 2
+<strong>Output:</strong> 5
+<strong>Explanation:</strong> The good strings are &quot;00&quot;, &quot;11&quot;, &quot;000&quot;, &quot;110&quot;, and &quot;011&quot;.
+</pre>
+
+<p>&nbsp;</p>
+<p><strong>Constraints:</strong></p>
+
+<ul>
+	<li><code>1 &lt;= low&nbsp;&lt;= high&nbsp;&lt;= 10<sup>5</sup></code></li>
+	<li><code>1 &lt;= zero, one &lt;= low</code></li>
+</ul>