<p>There is a hotel with <code>n</code> rooms. The rooms are represented by a 2D integer array <code>rooms</code> where <code>rooms[i] = [roomId<sub>i</sub>, size<sub>i</sub>]</code> denotes that there is a room with room number <code>roomId<sub>i</sub></code> and size equal to <code>size<sub>i</sub></code>. Each <code>roomId<sub>i</sub></code> is guaranteed to be <strong>unique</strong>.</p> <p>You are also given <code>k</code> queries in a 2D array <code>queries</code> where <code>queries[j] = [preferred<sub>j</sub>, minSize<sub>j</sub>]</code>. The answer to the <code>j<sup>th</sup></code> query is the room number <code>id</code> of a room such that:</p> <ul> <li>The room has a size of <strong>at least</strong> <code>minSize<sub>j</sub></code>, and</li> <li><code>abs(id - preferred<sub>j</sub>)</code> is <strong>minimized</strong>, where <code>abs(x)</code> is the absolute value of <code>x</code>.</li> </ul> <p>If there is a <strong>tie</strong> in the absolute difference, then use the room with the <strong>smallest</strong> such <code>id</code>. If there is <strong>no such room</strong>, the answer is <code>-1</code>.</p> <p>Return <em>an array </em><code>answer</code><em> of length </em><code>k</code><em> where </em><code>answer[j]</code><em> contains the answer to the </em><code>j<sup>th</sup></code><em> query</em>.</p> <p> </p> <p><strong class="example">Example 1:</strong></p> <pre> <strong>Input:</strong> rooms = [[2,2],[1,2],[3,2]], queries = [[3,1],[3,3],[5,2]] <strong>Output:</strong> [3,-1,3] <strong>Explanation: </strong>The answers to the queries are as follows: Query = [3,1]: Room number 3 is the closest as abs(3 - 3) = 0, and its size of 2 is at least 1. The answer is 3. Query = [3,3]: There are no rooms with a size of at least 3, so the answer is -1. Query = [5,2]: Room number 3 is the closest as abs(3 - 5) = 2, and its size of 2 is at least 2. The answer is 3.</pre> <p><strong class="example">Example 2:</strong></p> <pre> <strong>Input:</strong> rooms = [[1,4],[2,3],[3,5],[4,1],[5,2]], queries = [[2,3],[2,4],[2,5]] <strong>Output:</strong> [2,1,3] <strong>Explanation: </strong>The answers to the queries are as follows: Query = [2,3]: Room number 2 is the closest as abs(2 - 2) = 0, and its size of 3 is at least 3. The answer is 2. Query = [2,4]: Room numbers 1 and 3 both have sizes of at least 4. The answer is 1 since it is smaller. Query = [2,5]: Room number 3 is the only room with a size of at least 5. The answer is 3.</pre> <p> </p> <p><strong>Constraints:</strong></p> <ul> <li><code>n == rooms.length</code></li> <li><code>1 <= n <= 10<sup>5</sup></code></li> <li><code>k == queries.length</code></li> <li><code>1 <= k <= 10<sup>4</sup></code></li> <li><code>1 <= roomId<sub>i</sub>, preferred<sub>j</sub> <= 10<sup>7</sup></code></li> <li><code>1 <= size<sub>i</sub>, minSize<sub>j</sub> <= 10<sup>7</sup></code></li> </ul>