



def 		lowerCAmelCase__    (					UpperCamelCase_				:       str	)->  bool:
    return credit_card_number.startswith(('''34''', '''35''', '''37''', '''4''', '''5''', '''6''')	)



def 		lowerCAmelCase__    (					UpperCamelCase_				:       str	)->  bool:
    A__		 =					credit_card_number
    A__		 =					0
    A__		 =					len(UpperCamelCase_	) - 2
    for i in range(UpperCamelCase_ ,       -1 ,       -2	):
        #  double the value of every second digit
        A__		 =					int(cc_number[i]	)
        digit *= 2
        # If doubling of a number results in a two digit number
        # i.e greater than 9(e.g., 6 × 2 = 12),
        # then add the digits of the product (e.g., 12: 1 + 2 = 3, 15: 1 + 5 = 6),
        # to get a single digit number.
        if digit > 9:
            digit %= 1_0
            digit += 1
        A__		 =					cc_number[:i] + str(UpperCamelCase_	) + cc_number[i + 1 :]
        total += digit

    # Sum up the remaining digits
    for i in range(len(UpperCamelCase_	) - 1 ,       -1 ,       -2	):
        total += int(cc_number[i]	)

    return total % 1_0 == 0



def 		lowerCAmelCase__    (					UpperCamelCase_				:       str	)->  bool:
    A__		 =					f"{credit_card_number} is an invalid credit card number because"
    if not credit_card_number.isdigit():
        print(f"{error_message} it has nonnumerical characters."	)
        return False

    if not 1_3 <= len(UpperCamelCase_	) <= 1_6:
        print(f"{error_message} of its length."	)
        return False

    if not validate_initial_digits(UpperCamelCase_	):
        print(f"{error_message} of its first two digits."	)
        return False

    if not luhn_validation(UpperCamelCase_	):
        print(f"{error_message} it fails the Luhn check."	)
        return False

    print(f"{credit_card_number} is a valid credit card number."	)
    return True


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   validate_credit_card_number("4111111111111111")
   validate_credit_card_number("32323")





def 		lowerCAmelCase__    (					UpperCamelCase_				:       str ,       UpperCamelCase_				:       str	)->  float:

    def get_matched_characters(UpperCamelCase_				:       str ,       UpperCamelCase_				:       str	) -> str:
        A__		 =					[]
        A__		 =					min(len(_stra	) ,       len(_stra	)	) // 2
        for i, l in enumerate(_stra	):
            A__		 =					int(max(0 ,       i - limit	)	)
            A__		 =					int(min(i + limit + 1 ,       len(_stra	)	)	)
            if l in _stra[left:right]:
                matched.append(UpperCamelCase_	)
                A__		 =					f"{_stra[0:_stra.index(UpperCamelCase_	)]} {_stra[_stra.index(UpperCamelCase_	) + 1:]}"

        return "".join(UpperCamelCase_	)

    # matching characters
    A__		 =					get_matched_characters(UpperCamelCase_ ,       UpperCamelCase_	)
    A__		 =					get_matched_characters(UpperCamelCase_ ,       UpperCamelCase_	)
    A__		 =					len(UpperCamelCase_	)

    # transposition
    A__		 =					(
        len([(ca, ca) for ca, ca in zip(UpperCamelCase_ ,       UpperCamelCase_	) if ca != ca]	) // 2
    )

    if not match_count:
        A__		 =					0.0
    else:
        A__		 =					(
            1
            / 3
            * (
                match_count / len(UpperCamelCase_	)
                + match_count / len(UpperCamelCase_	)
                + (match_count - transpositions) / match_count
            )
        )

    # common prefix up to 4 characters
    A__		 =					0
    for ca, ca in zip(stra[:4] ,       stra[:4]	):
        if ca == ca:
            prefix_len += 1
        else:
            break

    return jaro + 0.1 * prefix_len * (1 - jaro)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   print(jaro_winkler("hello", "world"))
