





def A_     (		A__    )  ->		bool:
       return credit_card_number.startswith(('34', '35', '37', '4', '5', '6')    )



def A_     (		A__    )  ->		bool:
       a__						:     Optional[Any]			=    credit_card_number
       a__						:     Any			=    0
       a__						:     List[Any]			=    len(A__    ) - 2
       for i in range(A__		,				-1		,				-2    ):
              #  double the value of every second digit
              a__						:     Optional[Any]			=    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 %= 10
                     digit += 1
              a__						:     Union[str, Any]			=    cc_number[:i] + str(A__    ) + cc_number[i + 1 :]
              total += digit

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

       return total % 10 == 0



def A_     (		A__    )  ->		bool:
       a__						:     List[Any]			=    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 13 <= len(A__    ) <= 16:
              print(F'{error_message} of its length.'    )
              return False

       if not validate_initial_digits(A__    ):
              print(F'{error_message} of its first two digits.'    )
              return False

       if not luhn_validation(A__    ):
              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 A_     (		A__    )  ->		List[str]:  # noqa: E741
       a__						:     Dict			=    len(A__    )
       a__						:     str			=    0
       a__						:     Any			=    [0] * n
       a__						:     int			=    [False] * n
       a__						:     Optional[Any]			=    [False] * n

       def dfs(A__		,				A__		,				A__		,				A__    ):
              if parent == root:
                     out_edge_count += 1
              a__						:     Union[str, Any]			=    True
              a__						:     Optional[Any]			=    at

              for to in l[at]:
                     if to == parent:
                            pass
                     elif not visited[to]:
                            a__						:     List[Any]			=    dfs(A__		,				A__		,				A__		,				A__    )
                            a__						:     Dict			=    min(low[at]		,				low[to]    )

                            # AP found via bridge
                            if at < low[to]:
                                   a__						:     Dict			=    True
                            # AP found via cycle
                            if at == low[to]:
                                   a__						:     List[Any]			=    True
                     else:
                            a__						:     Optional[int]			=    min(low[at]		,				A__    )
              return out_edge_count

       for i in range(A__    ):
              if not visited[i]:
                     a__						:     Tuple			=    0
                     a__						:     Any			=    dfs(A__		,				A__		,				-1		,				A__    )
                     a__						:     List[Any]			=    out_edge_count > 1

       for x in range(len(A__    )    ):
              if is_art[x] is True:
                     print(A__    )


# Adjacency list of graph
lowercase				:	List[Any]      						=  {
    0: [1, 2],
    1: [0, 2],
    2: [0, 1, 3, 5],
    3: [2, 4],
    4: [3],
    5: [2, 6, 8],
    6: [5, 7],
    7: [6, 8],
    8: [5, 7],
}



compute_ap(data)


