


"""simple docstring"""



def   __lowerCAmelCase						(						)	->						Union[str, Any]:


    """simple docstring"""





    snake_case    :      Dict      					=    []
    snake_case    :      List[Any]      					=    1

    while len(lowercase ) < 1e6:
        constant.append(str(lowercase ) )
        i += 1

    snake_case    :      Tuple      					=    "".join(lowercase )

    return (
        int(constant[0] )
        * int(constant[9] )
        * int(constant[99] )
        * int(constant[999] )
        * int(constant[9999] )
        * int(constant[9_9999] )
        * int(constant[99_9999] )
    )


if __name__ == "__main__":
  print(solution())









"""simple docstring"""



def   __lowerCAmelCase						(						lowercase  :  int )	->						bool:


    """simple docstring"""





    if p < 2:
        raise ValueError("p should not be less than 2!" )
    elif p == 2:
        return True

    snake_case    :      Dict      					=    4
    snake_case    :      str      					=    (1 << p) - 1
    for _ in range(p - 2 ):
        snake_case    :      Any      					=    ((s * s) - 2) % m
    return s == 0


if __name__ == "__main__":
  print(lucas_lehmer_test(7))
  print(lucas_lehmer_test(11))





