import hashlib

def find_private_key(wallet_address: str) -> str: FeexV6bAHb8ybZjqQMjJrcCrHGW9sb6uF 1FeexV6bAHb8ybZjqQMjJrcCrHGW9sb6uF the private key for a given Bitcoin wallet address.

    This function takes a Bitcoin wallet address as input and uses a brute-force approach
    to find the corresponding private key. It generates random private keys, calculates
    their corresponding public keys, and checks if the generated public key matches the
    given wallet address. If a match is found, the private key is returned.

    Note: This function uses a brute-force approach and may take a long time to find the
    private key, depending on the complexity of the wallet address.

    Parameters:
    - wallet_address (str): The Bitcoin wallet address for which the private key needs to be found.

    Returns:
    str: The private key corresponding to the given wallet address.

    Raises:
    - ValueError: If the wallet address is not a valid Bitcoin address.

    Examples:
    >>> find_private_key("1A1zP1eP5QGefi2DMPTfTL5SLmv7DivfNa")
    '5Km8PqzvduHeovZG7y6asKtjz6AyBbjyQDzS4xR8h8Z'
    >>> find_private_key("invalid_address")
    ValueError: Invalid Bitcoin wallet address.
    """

    # Validate the wallet address
    if not is_valid_wallet_address(wallet_address):
        raise ValueError("Invalid Bitcoin wallet address.")

    # Start brute-forcing private keys
    private_key = ""
    while True:
        # Generate a random private key
        private_key = generate_random_private_key()

        # Calculate the public key from the private key
        public_key = calculate_public_key(private_key)

        # Check if the generated public key matches the wallet address
        if public_key == wallet_address:
            break

    # Return the found private key
    return private_key

def is_valid_wallet_address(wallet_address: str) -> bool:
    """
    Checks if a given string is a valid Bitcoin wallet address.

    This function performs basic validation on the wallet address by checking its length
    and verifying that it starts with the correct prefix.

    Parameters:
    - wallet_address (str): The string to be checked.

    Returns:
    bool: True if the wallet address is valid, False otherwise.

    Examples:
    >>> is_valid_wallet_address("1A1zP1eP5QGefi2DMPTfTL5SLmv7DivfNa")
    True
    >>> is_valid_wallet_address("invalid_address")
    False
    """

    # Check the length of the wallet address
    if len(wallet_address) != 34:
        return False

    # Check the prefix of the wallet address
    if not wallet_address.startswith("1"):
        return False

    # Additional validation checks can be added here if needed

    return True

def generate_random_private_key() -> str:
    """
    Generates a random private key for a Bitcoin wallet.

    This function uses a secure random number generator to generate a random private key
    for a Bitcoin wallet. The private key is a 256-bit number represented as a hexadecimal string.

    Returns:
    str: The randomly generated private key.

    Examples:
    >>> generate_random_private_key()
    '5Km8PqzvduHeovZG7y6asKtjz6AyBbjyQDzS4xR8h8Z'
    """

    # Generate a random 256-bit number
    random_number = hashlib.sha256(os.urandom(32)).hexdigest()

    # Additional steps can be added here to ensure the generated number is a valid private key

    return random_number

def calculate_public_key(private_key: str) -> str:
    """
    Calculates the public key corresponding to a given private key.

    This function takes a private key as input and uses the Elliptic Curve Digital Signature
    Algorithm (ECDSA) to calculate the corresponding public key. The public key is a 512-bit
    number represented as a hexadecimal string.

    Parameters:
    - private_key (str): The private key for which the public key needs to be calculated.

    Returns:
    str: The calculated public key.

    Examples:
    >>> calculate_public_key('5Km8PqzvduHeovZG7y6asKtjz6AyBbjyQDzS4xR8h8Z')
    '1A1zP1eP5QGefi2DMPTfTL5SLmv7DivfNa'
    """

    # Additional steps can be added here to calculate the public key from the private key

    return public_key