leetcode-problemset/leetcode/problem/maximum-value-after-insertion.html

<p>You are given a very large integer <code>n</code>, represented as a string,​​​​​​ and an integer digit <code>x</code>. The digits in <code>n</code> and the digit <code>x</code> are in the <strong>inclusive</strong> range <code>[1, 9]</code>, and <code>n</code> may represent a <b>negative</b> number.</p>

<p>You want to <strong>maximize </strong><code>n</code><strong>&#39;s numerical value</strong> by inserting <code>x</code> anywhere in the decimal representation of <code>n</code>​​​​​​. You <strong>cannot</strong> insert <code>x</code> to the left of the negative sign.</p>

<ul>
	<li>For example, if <code>n = 73</code> and <code>x = 6</code>, it would be best to insert it between <code>7</code> and <code>3</code>, making <code>n = 763</code>.</li>
	<li>If <code>n = -55</code> and <code>x = 2</code>, it would be best to insert it before the first <code>5</code>, making <code>n = -255</code>.</li>
</ul>

<p>Return <em>a string representing the <strong>maximum</strong> value of </em><code>n</code><em>​​​​​​ after the insertion</em>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> n = &quot;99&quot;, x = 9
<strong>Output:</strong> &quot;999&quot;
<strong>Explanation:</strong> The result is the same regardless of where you insert 9.
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> n = &quot;-13&quot;, x = 2
<strong>Output:</strong> &quot;-123&quot;
<strong>Explanation:</strong> You can make n one of {-213, -123, -132}, and the largest of those three is -123.
</pre>

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

<ul>
	<li><code>1 &lt;= n.length &lt;= 10<sup>5</sup></code></li>
	<li><code>1 &lt;= x &lt;= 9</code></li>
	<li>The digits in <code>n</code>​​​ are in the range <code>[1, 9]</code>.</li>
	<li><code>n</code> is a valid representation of an integer.</li>
	<li>In the case of a negative <code>n</code>,​​​​​​ it will begin with <code>&#39;-&#39;</code>.</li>
</ul>