Parking System

You are required to implement a parking system that manages parking slots for three types of vehicles: big, medium, and small. The parking system is initially created with a given number of slots for each type. Then, there will be a sequence of car arrival events. For each event, if there is an available parking slot for the corresponding vehicle type, the car is parked and the system should output true; otherwise, it should output false.

The vehicle types are represented as follows:

• 1: Big vehicle
• 2: Medium vehicle
• 3: Small vehicle

Your task is to simulate this parking system by reading from standard input and printing the result for each parking attempt to standard output.

Note: If a car is parked in a slot, that slot becomes unavailable for subsequent arrivals of the same type.

inputFormat

The input is read from stdin and is structured as follows:

1. The first line contains three space-separated integers: big, medium, and small, representing the initial number of parking slots available for big, medium, and small vehicles respectively.
2. The second line contains an integer Q representing the number of car arrival events.
3. The following Q lines each contain a single integer, which is the type of the arriving car (1 for big, 2 for medium, 3 for small).

outputFormat

For each car arrival event, output a line to stdout containing true if the car is successfully parked; otherwise, output false.

## sample

1 1 0
4
1
2
3
1

true
true
false
false

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