Parking System Simulator

You are required to implement a parking system simulator. The parking system consists of multiple levels. Each level has a fixed number of parking spots arranged sequentially. For each level, the first 6 spots are of type motorcycle, the next 2 are compact, and the following 2 are large. The system should support the following operations:

• initialize L S: Initialize the parking system with L levels and S spots per level. The spot types are assigned in a cyclic manner from the sequence: 6 motorcycle, 2 compact, and 2 large spots.
• park vehicle_type license_plate: Attempt to park a vehicle with the specified type and license plate number. A motorcycle can park in any spot; a compact vehicle can park in a spot of type compact or large; and a large vehicle can only park in a spot of type large. The parking should occur in the order of levels (starting from level 0) and, within each level, in the order of increasing spot numbers. If a suitable and available spot is found, print the level and spot number separated by a space. Otherwise, print No available spot.
• unpark license_plate: Unpark the vehicle with the given license plate. If the vehicle is found, print Vehicle unparked and free the spot; otherwise, print Vehicle not found.
• status license_plate: Check the status of the vehicle with the given license plate. If found, print the level and spot number separated by a space; otherwise, print Vehicle not found.

The problem may include LaTeX formatted formulas if needed. For example, you may refer to the parking spot assignment as follows:

$$\text{Spot Types per Level} = [\underbrace{\text{motorcycle}, \dots, \text{motorcycle}}_{6}, \underbrace{\text{compact}, \text{compact}}_{2}, \underbrace{\text{large}, \text{large}}_{2}]$$

Your solution should read input from standard input and write output to standard output.

inputFormat

The first line of the input contains an integer N representing the number of commands. Each of the following N lines contains a command. The commands are one of the following formats:

• initialize L S where L is the number of levels and S is the number of spots per level.
• park vehicle_type license_plate where vehicle_type is one of motorcycle, compact, or large and license_plate is a string.
• unpark license_plate
• status license_plate

Note that commands are processed sequentially. The initialize command does not produce any output.

outputFormat

For each command that requires an output (park, unpark, and status), print the corresponding result on a new line.

• For a successful park command, output level spot_number (both integers separated by a space). If no suitable spot is available, output No available spot.
• For the unpark command, output either Vehicle unparked or Vehicle not found.
• For the status command, output either level spot_number or Vehicle not found.

## sample

5
initialize 3 10
park motorcycle 123
status 123
unpark 123
status 123

0 0
0 0
Vehicle unparked
Vehicle not found

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