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1847\. Closest Room

Hard

There is a hotel with `n` rooms. The rooms are represented by a 2D integer array `rooms` where rooms[i] = [roomIdi, sizei] denotes that there is a room with room number roomIdi and size equal to sizei. Each roomIdi is guaranteed to be **unique**.

You are also given `k` queries in a 2D array `queries` where queries[j] = [preferredj, minSizej]. The answer to the jth query is the room number `id` of a room such that:

*   The room has a size of **at least** minSizej, and
*   abs(id - preferredj) is **minimized**, where `abs(x)` is the absolute value of `x`.

If there is a **tie** in the absolute difference, then use the room with the **smallest** such `id`. If there is **no such room**, the answer is `-1`.

Return _an array_ `answer` _of length_ `k` _where_ `answer[j]` _contains the answer to the_ jth _query_.

**Example 1:**

**Input:** rooms = [[2,2],[1,2],[3,2]], queries = [[3,1],[3,3],[5,2]]

**Output:** [3,-1,3]

**Explanation:** 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.

**Example 2:**

**Input:** rooms = [[1,4],[2,3],[3,5],[4,1],[5,2]], queries = [[2,3],[2,4],[2,5]]

**Output:** [2,1,3]

**Explanation:** 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.

**Constraints:**

*   `n == rooms.length`
*   1 <= n <= 105
*   `k == queries.length`
*   1 <= k <= 104
*   1 <= roomIdi, preferredj <= 107
*   1 <= sizei, minSizej <= 107




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