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Closest Room

There is a hotel with n rooms.

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:

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 <= 10^5
  • k == queries.length
  • 1 <= k <= 10^4
  • 1 <= roomIdi, preferredj <= 10^7
  • 1 <= sizei, minSizej <= 10^7

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