Bank Account Management System

In this problem, you are required to implement a simple bank system that handles account creation, deposits, withdrawals, and balance inquiries. Each account is uniquely identified by an account number and is secured with a personal identification number (PIN). Your task is to implement the following operations:

• CREATE: Create a new account with a given account number and PIN. If an account with the same account number already exists, the operation should fail.
• DEPOSIT: Deposit a given positive amount into an account, if the provided PIN is correct.
• WITHDRAW: Withdraw a given positive amount from an account, if the provided PIN is correct and the account has sufficient balance.
• BALANCE: Check the account balance if the provided PIN is valid; otherwise, return "Invalid PIN".

The solution should read input from standard input (stdin) and output the results for each operation to standard output (stdout), with each operation's result printed on a new line.

The following mathematical conditions must hold: \[ \text{For a valid deposit: } amount > 0, \quad \text{and for a valid withdrawal: } 0 < amount \leq balance. \]

inputFormat

The first line contains an integer T (T ≥ 1), representing the total number of operations. Each of the following T lines describes an operation in one of the following formats:

• CREATE account_number pin
• DEPOSIT account_number amount pin
• WITHDRAW account_number amount pin
• BALANCE account_number pin

outputFormat

For each operation, output the result on a new line. For CREATE, output True if the account was successfully created, otherwise False. For DEPOSIT and WITHDRAW, output True if the operation succeeded, otherwise False. For BALANCE, output the account's current balance or Invalid PIN if the PIN is incorrect.

## sample

3
CREATE 123456 54321
DEPOSIT 123456 100 54321
BALANCE 123456 54321

True
True
100

</p>