<p>You are given an array of strings <code>products</code> and a string <code>searchWord</code>.</p>

<p>Design a system that suggests at most three product names from <code>products</code> after each character of <code>searchWord</code> is typed. Suggested products should have common prefix with <code>searchWord</code>. If there are more than three products with a common prefix return the three lexicographically minimums products.</p>

<p>Return <em>a list of lists of the suggested products after each character of </em><code>searchWord</code><em> is typed</em>.</p>

<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>

<pre>
<strong>Input:</strong> products = [&quot;mobile&quot;,&quot;mouse&quot;,&quot;moneypot&quot;,&quot;monitor&quot;,&quot;mousepad&quot;], searchWord = &quot;mouse&quot;
<strong>Output:</strong> [
[&quot;mobile&quot;,&quot;moneypot&quot;,&quot;monitor&quot;],
[&quot;mobile&quot;,&quot;moneypot&quot;,&quot;monitor&quot;],
[&quot;mouse&quot;,&quot;mousepad&quot;],
[&quot;mouse&quot;,&quot;mousepad&quot;],
[&quot;mouse&quot;,&quot;mousepad&quot;]
]
<strong>Explanation:</strong> products sorted lexicographically = [&quot;mobile&quot;,&quot;moneypot&quot;,&quot;monitor&quot;,&quot;mouse&quot;,&quot;mousepad&quot;]
After typing m and mo all products match and we show user [&quot;mobile&quot;,&quot;moneypot&quot;,&quot;monitor&quot;]
After typing mou, mous and mouse the system suggests [&quot;mouse&quot;,&quot;mousepad&quot;]
</pre>

<p><strong>Example 2:</strong></p>

<pre>
<strong>Input:</strong> products = [&quot;havana&quot;], searchWord = &quot;havana&quot;
<strong>Output:</strong> [[&quot;havana&quot;],[&quot;havana&quot;],[&quot;havana&quot;],[&quot;havana&quot;],[&quot;havana&quot;],[&quot;havana&quot;]]
</pre>

<p><strong>Example 3:</strong></p>

<pre>
<strong>Input:</strong> products = [&quot;bags&quot;,&quot;baggage&quot;,&quot;banner&quot;,&quot;box&quot;,&quot;cloths&quot;], searchWord = &quot;bags&quot;
<strong>Output:</strong> [[&quot;baggage&quot;,&quot;bags&quot;,&quot;banner&quot;],[&quot;baggage&quot;,&quot;bags&quot;,&quot;banner&quot;],[&quot;baggage&quot;,&quot;bags&quot;],[&quot;bags&quot;]]
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= products.length &lt;= 1000</code></li>
	<li><code>1 &lt;= products[i].length &lt;= 3000</code></li>
	<li><code>1 &lt;= sum(products[i].length) &lt;= 2 * 10<sup>4</sup></code></li>
	<li>All the strings of <code>products</code> are <strong>unique</strong>.</li>
	<li><code>products[i]</code> consists of lowercase English letters.</li>
	<li><code>1 &lt;= searchWord.length &lt;= 1000</code></li>
	<li><code>searchWord</code> consists of lowercase English letters.</li>
</ul>