




'''simple docstring'''






def 		UpperCamelCase__      (		__SCREAMING_SNAKE_CASE		)    ->   str:
      snake_case__       :   Tuple	      =    0

      # if input_string is "aba" than new_input_string become "a|b|a"
      snake_case__       :   Optional[int]	      =    ''
      snake_case__       :   Optional[int]	      =    ''

      # append each character + "|" in new_string for range(0, length-1)
      for i in input_string[: len(__SCREAMING_SNAKE_CASE		) - 1]:
            new_input_string += i + "|"
      # append last character
      new_input_string += input_string[-1]

      # we will store the starting and ending of previous furthest ending palindromic
      # substring
      snake_case__      ,							snake_case__       :   Tuple	      =    0, 0

      # length[i] shows the length of palindromic substring with center i
      snake_case__       :   Any	      =    [1 for i in range(len(__SCREAMING_SNAKE_CASE		)		)]

      # for each character in new_string find corresponding palindromic string
      snake_case__       :   Any	      =    0
      for j in range(len(__SCREAMING_SNAKE_CASE		)		):
            snake_case__       :   str	      =    1 if j > r else min(length[l + r - j] // 2				,      r - j + 1		)
            while (
                j - k >= 0
                and j + k < len(__SCREAMING_SNAKE_CASE		)
                and new_input_string[k + j] == new_input_string[j - k]
            ):
                  k += 1

            snake_case__       :   List[str]	      =    2 * k - 1

            # does this string is ending after the previously explored end (that is r) ?
            # if yes the update the new r to the last index of this
            if j + k - 1 > r:
                  snake_case__       :   Optional[Any]	      =    j - k + 1  # noqa: E741
                  snake_case__       :   Tuple	      =    j + k - 1

            # update max_length and start position
            if max_length < length[j]:
                  snake_case__       :   str	      =    length[j]
                  snake_case__       :   int	      =    j

    # create that string
      snake_case__       :   Any	      =    new_input_string[start - max_length // 2 : start + max_length // 2 + 1]
      for i in s:
            if i != "|":
                  output_string += i

      return output_string


if __name__ == "__main__":
      import doctest

      doctest.testmod()






'''simple docstring'''






from ..utils import DummyObject, requires_backends






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					Optional[Any]     ,							*__lowerCamelCase     :					Tuple     ,							**__lowerCamelCase     :					Optional[int]			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Tuple     ,							*__lowerCamelCase     :					str     ,							**__lowerCamelCase     :					Optional[int]			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Any     ,							*__lowerCamelCase     :					Dict     ,							**__lowerCamelCase     :					List[str]			):
           requires_backends(cls     ,							['flax']			)






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					int     ,							*__lowerCamelCase     :					str     ,							**__lowerCamelCase     :					Union[str, Any]			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Optional[Any]     ,							*__lowerCamelCase     :					List[str]     ,							**__lowerCamelCase     :					Optional[int]			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Optional[Any]     ,							*__lowerCamelCase     :					Optional[Any]     ,							**__lowerCamelCase     :					Optional[int]			):
           requires_backends(cls     ,							['flax']			)






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					List[str]     ,							*__lowerCamelCase     :					str     ,							**__lowerCamelCase     :					str			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Union[str, Any]     ,							*__lowerCamelCase     :					str     ,							**__lowerCamelCase     :					str			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Any     ,							*__lowerCamelCase     :					Tuple     ,							**__lowerCamelCase     :					Optional[int]			):
           requires_backends(cls     ,							['flax']			)






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					Optional[Any]     ,							*__lowerCamelCase     :					Optional[Any]     ,							**__lowerCamelCase     :					str			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					str     ,							*__lowerCamelCase     :					Dict     ,							**__lowerCamelCase     :					int			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Optional[Any]     ,							*__lowerCamelCase     :					Union[str, Any]     ,							**__lowerCamelCase     :					Union[str, Any]			):
           requires_backends(cls     ,							['flax']			)






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					Optional[int]     ,							*__lowerCamelCase     :					Tuple     ,							**__lowerCamelCase     :					Optional[Any]			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					List[Any]     ,							*__lowerCamelCase     :					Dict     ,							**__lowerCamelCase     :					int			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Tuple     ,							*__lowerCamelCase     :					List[str]     ,							**__lowerCamelCase     :					str			):
           requires_backends(cls     ,							['flax']			)






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					List[Any]     ,							*__lowerCamelCase     :					Dict     ,							**__lowerCamelCase     :					Union[str, Any]			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Any     ,							*__lowerCamelCase     :					Union[str, Any]     ,							**__lowerCamelCase     :					Optional[int]			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					List[Any]     ,							*__lowerCamelCase     :					Optional[Any]     ,							**__lowerCamelCase     :					Optional[int]			):
           requires_backends(cls     ,							['flax']			)






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					Dict     ,							*__lowerCamelCase     :					Union[str, Any]     ,							**__lowerCamelCase     :					Any			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					List[Any]     ,							*__lowerCamelCase     :					Optional[int]     ,							**__lowerCamelCase     :					List[str]			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Union[str, Any]     ,							*__lowerCamelCase     :					str     ,							**__lowerCamelCase     :					Any			):
           requires_backends(cls     ,							['flax']			)






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					Tuple     ,							*__lowerCamelCase     :					Union[str, Any]     ,							**__lowerCamelCase     :					Dict			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					List[Any]     ,							*__lowerCamelCase     :					Tuple     ,							**__lowerCamelCase     :					List[Any]			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					int     ,							*__lowerCamelCase     :					Union[str, Any]     ,							**__lowerCamelCase     :					str			):
           requires_backends(cls     ,							['flax']			)






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					Union[str, Any]     ,							*__lowerCamelCase     :					Optional[Any]     ,							**__lowerCamelCase     :					int			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Any     ,							*__lowerCamelCase     :					List[str]     ,							**__lowerCamelCase     :					int			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					List[str]     ,							*__lowerCamelCase     :					Optional[Any]     ,							**__lowerCamelCase     :					List[str]			):
           requires_backends(cls     ,							['flax']			)






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					Union[str, Any]     ,							*__lowerCamelCase     :					Optional[Any]     ,							**__lowerCamelCase     :					List[Any]			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Any     ,							*__lowerCamelCase     :					Optional[int]     ,							**__lowerCamelCase     :					int			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					str     ,							*__lowerCamelCase     :					Tuple     ,							**__lowerCamelCase     :					List[Any]			):
           requires_backends(cls     ,							['flax']			)






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					Optional[Any]     ,							*__lowerCamelCase     :					Union[str, Any]     ,							**__lowerCamelCase     :					Union[str, Any]			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Union[str, Any]     ,							*__lowerCamelCase     :					Tuple     ,							**__lowerCamelCase     :					Optional[Any]			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					str     ,							*__lowerCamelCase     :					Dict     ,							**__lowerCamelCase     :					Optional[int]			):
           requires_backends(cls     ,							['flax']			)






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					Union[str, Any]     ,							*__lowerCamelCase     :					List[Any]     ,							**__lowerCamelCase     :					Optional[int]			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Optional[int]     ,							*__lowerCamelCase     :					Tuple     ,							**__lowerCamelCase     :					Tuple			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Dict     ,							*__lowerCamelCase     :					Dict     ,							**__lowerCamelCase     :					Optional[Any]			):
           requires_backends(cls     ,							['flax']			)






class        lowercase_      (						metaclass=lowerCAmelCase_							):
     A_											=			["flax"]





     def __init__(     self     :					str     ,							*__lowerCamelCase     :					int     ,							**__lowerCamelCase     :					Dict			):
           requires_backends(self     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					List[str]     ,							*__lowerCamelCase     :					Optional[int]     ,							**__lowerCamelCase     :					Tuple			):
           requires_backends(cls     ,							['flax']			)





     @classmethod
     def 			_lowerCAmelCase      (     cls     :					Dict     ,							*__lowerCamelCase     :					Optional[int]     ,							**__lowerCamelCase     :					Optional[Any]			):
           requires_backends(cls     ,							['flax']			)
