Library Book Loan Management

You are required to implement a simple library management system that handles book loans and returns. The system supports three operations:

• loan: Loan out a book. This operation should return True if the book was available, and False if it was already loaned out.
• return: Return a book. This operation should return True if the book was currently loaned out, and False if it was not.
• check: Check the availability of a book. This operation should return True if the book is available (i.e. not loaned out) and False otherwise.

The system behaves as follows. Initially, all books are available. When performing a loan operation on a book with identifier \( id \), if the book is available then it will be loaned, and subsequent operations will reflect this change until the book is returned.

Your program should read a series of commands from standard input and output the result of each command to standard output.

inputFormat

The first line of input contains an integer \( T \) representing the number of operations.

Each of the next \( T \) lines contains a command in one of the following formats:

• loan id
• return id
• check id

Here, id is an integer representing the unique identifier of a book.

outputFormat

For each command, output a single line with either True or False indicating the result of the operation.

## sample

5
loan 1
loan 1
check 1
return 1
check 1

True
False
False
True
True

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