This problem is about finding the minimum room capacity required to host a farewell party at a college. The party will last for a full day and guests will arrive and depart at their preferred time slots.

Here's how to solve this problem step by step:

1. First, we need to understand the input and output format. The input will be the number of test cases, followed by the number of guests for each test case, and then the arrival and departure times for each guest. The output should be the minimum room capacity required for each test case.

2. For each test case, we need to keep track of the number of guests in the room at any given time. We can do this by creating two lists: one for the arrival times and one for the departure times.

3. We sort both lists. The reason for sorting is that it allows us to compare the arrival of the next guest with the departure of the current guest.

4. We initialize two pointers, one for the arrival list and one for the departure list, both starting from the first element (index 0). We also initialize a variable `guests_in_room` and `min_room_capacity` to 0.

5. We start a while loop and compare the current arrival and departure time. If the arrival time is less than or equal to the departure time, it means a guest has arrived before any guest departs, so we increment `guests_in_room` and move the arrival pointer to the next guest. If the departure time is less than the arrival time, it means a guest departs before the next guest arrives, so we decrement `guests_in_room` and move the departure pointer to the next guest.

6. After each arrival or departure, we update `min_room_capacity` with the maximum of `min_room_capacity` and `guests_in_room`. This ensures that `min_room_capacity` always holds the maximum number of guests in the room at any time.

7. We continue this process until we have processed all arrivals and departures. At the end, `min_room_capacity` will hold the minimum room capacity required to accommodate all guests.

8. We print `min_room_capacity` for each test case.

This algorithm works because it accurately simulates the arrivals and departures of guests, keeping track of the number of guests in the room at any time. By keeping track of the maximum number of guests in the room, we can determine the minimum room capacity required.

Question

This problem is about finding the minimum room capacity required to host a farewell party at a college. The party will last for a full day and guests will arrive and depart at their preferred time slots.

Here's how to solve this problem step by step:

1. First, we need to understand the input and output format. The input will be the number of test cases, followed by the number of guests for each test case, and then the arrival and departure times for each guest. The output should be the minimum room capacity required for each test case.

2. For each test case, we need to keep track of the number of guests in the room at any given time. We can do this by creating two lists: one for the arrival times and one for the departure times.

3. We sort both lists. The reason for sorting is that it allows us to compare the arrival of the next guest with the departure of the current guest.

4. We initialize two pointers, one for the arrival list and one for the departure list, both starting from the first element (index 0). We also initialize a variable `guests_in_room` and `min_room_capacity` to 0.

5. We start a while loop and compare the current arrival and departure time. If the arrival time is less than or equal to the departure time, it means a guest has arrived before any guest departs, so we increment `guests_in_room` and move the arrival pointer to the next guest. If the departure time is less than the arrival time, it means a guest departs before the next guest arrives, so we decrement `guests_in_room` and move the departure pointer to the next guest.

6. After each arrival or departure, we update `min_room_capacity` with the maximum of `min_room_capacity` and `guests_in_room`. This ensures that `min_room_capacity` always holds the maximum number of guests in the room at any time.

7. We continue this process until we have processed all arrivals and departures. At the end, `min_room_capacity` will hold the minimum room capacity required to accommodate all guests.

8. We print `min_room_capacity` for each test case.

This algorithm works because it accurately simulates the arrivals and departures of guests, keeping track of the number of guests in the room at any time. By keeping track of the maximum number of guests in the room, we can determine the minimum room capacity required.

Knowee AI · Accepted Answer