Bank Account Operations

You are required to implement a bank account manager that supports depositing money, withdrawing money, and querying the balance. The bank account is instantiated with an initial balance. However, if the initial balance is negative, a NegativeAmountError exception must be raised.

The operations are defined as follows:

• deposit amount: Add a positive amount to the account balance. If the deposit amount is not positive, raise NegativeAmountError.
• withdraw amount: Remove a positive amount from the account balance. If the withdraw amount is not positive or if the amount exceeds the current balance, raise NegativeAmountError or InsufficientFunds respectively.
• balance: Output the current balance of the account.

In mathematical notation, the following conditions must hold:

\( initial\_balance \ge 0 \)

\( deposit\_amount > 0 \)

\( withdraw\_amount > 0 \) and \( withdraw\_amount \leq current\_balance \)

If any operation fails, your program must output the corresponding exception message (NegativeAmountError or InsufficientFunds) and terminate immediately.

inputFormat

The input is read from stdin and has the following format:

1. A line with a floating point number representing the initial balance.
2. A line with an integer n indicating the number of operations.
3. n lines, each containing one of the following commands:
   • deposit x — deposit an amount x (a float).
   • withdraw x — withdraw an amount x (a float).
   • balance — print the current balance.

outputFormat

The output should be written to stdout. For each balance command, output the current balance (as a float) on a new line. If any operation fails because of an exception, output the exception's message (NegativeAmountError or InsufficientFunds) and terminate the program immediately, without processing further commands.

## sample

100.0
5
deposit 50.0
withdraw 25.0
balance
withdraw 100.0
balance

125.0
25.0

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