Ninja Theater Seating Arrangement Problem

As the technical lead of the renowned ninja theater, your task is to implement a system that ensures social distancing by maximizing the distance between seated individuals. This involves determining the best seating arrangement for incoming theater-goers.

Input:

The input begins with an integer 'T' representing the number of test cases.
For each test case:
- The first line contains a single integer ‘N’, indicating the number of seats arranged in a row in the theater.
- The following line contains a single integer, ‘M’, which represents the number of queries.
- Each of the next ‘M’ lines consists of two space-separated integers, ‘type’ and ‘seatNum’.
- For queries of the first type, ‘seatNum’ will be -1.
- For queries of the second type, it corresponds to the seat number of the departing person.

Output:

For each test case, output the results of queries of the first type. Return all the seat numbers a person should choose to maintain maximum distance from the nearest individual, separated by spaces. Each test case's result is on a new line.

Example:

Input:
1
5
3
1 -1
1 -1
2 0

Output:
0 2

Constraints:

  • 1 ≤ T ≤ 5
  • 1 ≤ N ≤ 109
  • 1 ≤ M ≤ 100
  • 1 ≤ type ≤ 2
  • 0 ≤ seatNum ≤ N-1

Note:

No need to print; simply implement the function as specified. Ensure the seating maximizes the distance from the nearest seated person.
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