<p>Alice manages a company and has rented some floors of a building as office space. Alice has decided some of these floors should be <strong>special floors</strong>, used for relaxation only.</p>

<p>You are given two integers <code>bottom</code> and <code>top</code>, which denote that Alice has rented all the floors from <code>bottom</code> to <code>top</code> (<strong>inclusive</strong>). You are also given the integer array <code>special</code>, where <code>special[i]</code> denotes a special floor that Alice has designated for relaxation.</p>

<p>Return <em>the <strong>maximum</strong> number of consecutive floors without a special floor</em>.</p>

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

<pre>
<strong>Input:</strong> bottom = 2, top = 9, special = [4,6]
<strong>Output:</strong> 3
<strong>Explanation:</strong> The following are the ranges (inclusive) of consecutive floors without a special floor:
- (2, 3) with a total amount of 2 floors.
- (5, 5) with a total amount of 1 floor.
- (7, 9) with a total amount of 3 floors.
Therefore, we return the maximum number which is 3 floors.
</pre>

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

<pre>
<strong>Input:</strong> bottom = 6, top = 8, special = [7,6,8]
<strong>Output:</strong> 0
<strong>Explanation:</strong> Every floor rented is a special floor, so we return 0.
</pre>

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

<ul>
	<li><code>1 &lt;= special.length &lt;= 10<sup>5</sup></code></li>
	<li><code>1 &lt;= bottom &lt;= special[i] &lt;= top &lt;= 10<sup>9</sup></code></li>
	<li>All the values of <code>special</code> are <strong>unique</strong>.</li>
</ul>

class Solution:
    def maxConsecutive(self, bottom, top, A):
        A.sort()
        res = max(top - A[-1], A[0] - bottom)
        for i in range(1, len(A)):
            res = max(res, A[i] - A[i - 1] - 1)
        return res
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