Parking Lot Management System

This problem requires you to implement a parking lot management system to simulate adding parking spots, recording vehicle entries and exits, calculating parking fees, checking available spots, and tracking the occupancy rate over a time interval. The system supports commands for updating the current time, advancing time, and performing operations. The fee is computed as the duration (in hours) multiplied by the rate (compact: $5, large: $10, electric: $15). For the occupancy rate, if a vehicle occupied any time within the given time interval, it is counted as occupying a spot. You are required to implement an interactive system that reads commands from standard input and writes the corresponding outputs to standard output.

Commands:

• settime YYYY-MM-DD HH:MM:SS: Sets the system's current time.
• advance <seconds>: Advances the current time by the given number of seconds.
• add <number> <spot_type>: Adds a parking spot identified by number with type spot_type (compact, large, or electric).
• entry <license_plate> <vehicle_type>: Records a vehicle's entry. If an available spot of the required type is found, output true, otherwise false.
• exit <license_plate>: Records a vehicle's exit and calculates the fee based on the elapsed time. The fee should be printed rounded to 2 decimal places.
• available <spot_type>: Lists the numbers of available parking spots of the given type in ascending order, separated by a space. If none is available, output none.
• occupancy <start_time> <end_time>: Computes and prints the occupancy rate (as a percentage with 6 decimal places) over the given time interval. The time format is YYYY-MM-DD HH:MM:SS.

Note: The current time is maintained internally and updated using the settime and advance commands. All commands that produce an output must print the result in a new line.

inputFormat

The first line of input is an integer Q representing the number of commands. The following Q lines each contain one command as described above. Commands and their parameters are space-separated.

outputFormat

For each command that requires an output (entry, exit, available, and occupancy), print the result on a new line. For boolean outputs, print either 'true' or 'false'. For fees, print a number rounded to 2 decimal places. For occupancy rate, print a number with 6 decimal places.## sample

8
settime 2023-10-10 10:00:00
add 1 compact
add 2 large
entry XYZ123 compact
advance 3600
exit XYZ123
available compact
occupancy 2023-10-10 09:00:00 2023-10-10 11:00:00

true
5.00
1
50.000000