<h2><a href="https://leetcode.com/problems/seat-reservation-manager/">1845. Seat Reservation Manager</a></h2><h3>Medium</h3><hr><div><p>Design a system that manages the reservation state of <code>n</code> seats that are numbered from <code>1</code> to <code>n</code>.</p>

<p>Implement the <code>SeatManager</code> class:</p>

<ul>
	<li><code>SeatManager(int n)</code> Initializes a <code>SeatManager</code> object that will manage <code>n</code> seats numbered from <code>1</code> to <code>n</code>. All seats are initially available.</li>
	<li><code>int reserve()</code> Fetches the <strong>smallest-numbered</strong> unreserved seat, reserves it, and returns its number.</li>
	<li><code>void unreserve(int seatNumber)</code> Unreserves the seat with the given <code>seatNumber</code>.</li>
</ul>

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

<pre><strong>Input</strong>
["SeatManager", "reserve", "reserve", "unreserve", "reserve", "reserve", "reserve", "reserve", "unreserve"]
[[5], [], [], [2], [], [], [], [], [5]]
<strong>Output</strong>
[null, 1, 2, null, 2, 3, 4, 5, null]

<strong>Explanation</strong>
SeatManager seatManager = new SeatManager(5); // Initializes a SeatManager with 5 seats.
seatManager.reserve();    // All seats are available, so return the lowest numbered seat, which is 1.
seatManager.reserve();    // The available seats are [2,3,4,5], so return the lowest of them, which is 2.
seatManager.unreserve(2); // Unreserve seat 2, so now the available seats are [2,3,4,5].
seatManager.reserve();    // The available seats are [2,3,4,5], so return the lowest of them, which is 2.
seatManager.reserve();    // The available seats are [3,4,5], so return the lowest of them, which is 3.
seatManager.reserve();    // The available seats are [4,5], so return the lowest of them, which is 4.
seatManager.reserve();    // The only available seat is seat 5, so return 5.
seatManager.unreserve(5); // Unreserve seat 5, so now the available seats are [5].
</pre>

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

<ul>
	<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>
	<li><code>1 &lt;= seatNumber &lt;= n</code></li>
	<li>For each call to <code>reserve</code>, it is guaranteed that there will be at least one unreserved seat.</li>
	<li>For each call to <code>unreserve</code>, it is guaranteed that <code>seatNumber</code> will be reserved.</li>
	<li>At most <code>10<sup>5</sup></code> calls <strong>in total</strong> will be made to <code>reserve</code> and <code>unreserve</code>.</li>
</ul>
</div>