

def 		_lowercase (     lowercase__						):
      __lowerCAmelCase					:						Optional[int]					=					0

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

      # append each character + "|" in new_string for range(0, length-1)
      for i in input_string[: len(lowercase__						) - 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
      __lowerCAmelCase,							__lowerCAmelCase					:						Any					=					0, 0

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

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

            __lowerCAmelCase					:						Optional[int]					=					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:
                  __lowerCAmelCase					:						Any					=					j - k + 1  # noqa: E741
                  __lowerCAmelCase					:						List[Any]					=					j + k - 1

            # update max_length and start position
            if max_length < length[j]:
                  __lowerCAmelCase					:						Tuple					=					length[j]
                  __lowerCAmelCase					:						Optional[int]					=					j

    # create that string
      __lowerCAmelCase					:						Tuple					=					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()





from collections import deque

from .hash_table import HashTable







class   __lowercase      (_UpperCAmelCase ):
 def __init__(							self      ,							*A_      ,							**A_					)					->int:



       '''simple docstring'''





       super().__init__(*A_      ,							**A_					)
 def 	UpperCamelCase__  (							self      ,							A_      ,							A_					)					->Optional[int]:



       '''simple docstring'''





       __lowerCAmelCase					:						Dict					=					deque([]					) if self.values[key] is None else self.values[key]
       self.values[key].appendleft(A_					)
       __lowerCAmelCase					:						int					=					self.values[key]
 def 	UpperCamelCase__  (							self					)					->Tuple:



       '''simple docstring'''





       return (
           sum(self.charge_factor - len(A_					) for slot in self.values					)
           / self.size_table
           * self.charge_factor
       )





 def 	UpperCamelCase__  (							self      ,							A_      ,							A_=None					)					->str:



       '''simple docstring'''





       if not (
           len(self.values[key]					) == self.charge_factor and self.values.count(A_					) == 0
       ):
             return key
       return super()._collision_resolution(A_      ,							A_					)


