Chain addition

def addition(addend_1, addend_2):
    """Function to add two integers"""
    result = addend_1 + (addend_2)
    return result

#Program to add integers continuously like a calculator.
active = True
message = f"Please enter a number.\nPress 'q' to quit anytime.\n"
error_message = f"Please enter only numbers.\n"
thanks_note = f"\nThank You.\n"
a = None

while active:
    try:
        a = input(message)
    except KeyboardInterrupt:
        print(thanks_note)
        break
    if a.lower() == 'q':
        active = False
        a = None
    else:
        try:
            a = int(a)
        except ValueError:
            print(error_message)
        else:
            break

while a:
    try:
        b = input(message)
    except KeyboardInterrupt:
        print(thanks_note)
        break
    if b.lower() == 'q':
        break
    else:
        try:
            b = int(b)
        except ValueError:
            print(error_message)
        else:
            y = addition(a, b)
            print(y)
            a = y