





from __future__ import annotations
class   a_ :

			def __init__(   self   :  Optional[int]     , UpperCAmelCase__   :  List[str]						):






							"""simple docstring"""
							snake_case   :					Union[str, Any]    						=				order

							# a_{0} ... a_{k}
							snake_case   :					int    						=				[1.0] + [0.0] * order
							# b_{0} ... b_{k}
							snake_case   :					List[str]    						=				[1.0] + [0.0] * order

							# x[n-1] ... x[n-k]
							snake_case   :					Union[str, Any]    						=				[0.0] * self.order
							# y[n-1] ... y[n-k]
							snake_case   :					List[Any]    						=				[0.0] * self.order

			def      lowerCAmelCase(   self   :  Any     , UpperCAmelCase__   :  Any     , UpperCAmelCase__   :  Optional[Any]						):






							"""simple docstring"""

							if len(snake_case_						) < self.order:
											snake_case   :					List[str]    						=				[1.0, *a_coeffs]

							if len(snake_case_						) != self.order + 1:
											snake_case   :					Union[str, Any]    						=				(
											    F"Expected a_coeffs to have {self.order + 1} elements "
											    F"for {self.order}-order filter, got {len(snake_case_						)}"
											)
											raise ValueError(snake_case_						)

							if len(snake_case_						) != self.order + 1:
											snake_case   :					Optional[Any]    						=				(
											    F"Expected b_coeffs to have {self.order + 1} elements "
											    F"for {self.order}-order filter, got {len(snake_case_						)}"
											)
											raise ValueError(snake_case_						)

							snake_case   :					Any    						=				a_coeffs
							snake_case   :					Tuple    						=				b_coeffs



			def      lowerCAmelCase(   self   :  Optional[int]     , UpperCAmelCase__   :  Optional[Any]						):






							"""simple docstring"""
							snake_case   :					Any    						=				0.0

							# Start at index 1 and do index 0 at the end.
							for i in range(1     , self.order + 1						):
											result += (
											    self.b_coeffs[i] * self.input_history[i - 1]
											    - self.a_coeffs[i] * self.output_history[i - 1]
											)

							snake_case   :					Dict    						=				(result + self.b_coeffs[0] * sample) / self.a_coeffs[0]

							snake_case   :					Dict    						=				self.input_history[:-1]
							snake_case   :					Dict    						=				self.output_history[:-1]

							snake_case   :					Dict    						=				sample
							snake_case   :					List[str]    						=				result

							return result




from collections import Counter
from timeit import timeit


def 		lowercase_	(  _UpperCamelCase = ""							,      ):


			'''simple docstring'''







			return sum(c % 2 for c in Counter(input_str.replace(''' '''							,      ''''''	).lower()	).values()	) < 2


def 		lowercase_	(  _UpperCamelCase = ""	):


			'''simple docstring'''







			if len(_UpperCamelCase	) == 0:
						return True
			__lowercase			       = input_str.replace(''' '''							,      ''''''	).lower()
			# character_freq_dict: Stores the frequency of every character in the input string
			__lowercase			       = {}

			for character in lower_case_input_str:
						__lowercase			       = character_freq_dict.get(_UpperCamelCase							,      0	) + 1
			__lowercase			       = 0

			for character_count in character_freq_dict.values():
						if character_count % 2:
									odd_char += 1
			if odd_char > 1:
						return False
			return True


def 		lowercase_	(  _UpperCamelCase = ""	):


			'''simple docstring'''







			print('''\nFor string = '''							,      _UpperCamelCase							,      ''':'''	)
			print(
			    '''> can_string_be_rearranged_as_palindrome_counter()'''							,      '''\tans ='''							,      can_string_be_rearranged_as_palindrome_counter(_UpperCamelCase	)							,      '''\ttime ='''							,      timeit(
			        '''z.can_string_be_rearranged_as_palindrome_counter(z.check_str)'''							,      setup='''import __main__ as z'''							,      )							,      '''seconds'''							,      )
			print(
			    '''> can_string_be_rearranged_as_palindrome()'''							,      '''\tans ='''							,      can_string_be_rearranged_as_palindrome(_UpperCamelCase	)							,      '''\ttime ='''							,      timeit(
			        '''z.can_string_be_rearranged_as_palindrome(z.check_str)'''							,      setup='''import __main__ as z'''							,      )							,      '''seconds'''							,      )


if __name__ == "__main__":
	a			:			int												=					input(
	    '''Enter string to determine if it can be rearranged as a palindrome or not: '''
	).strip()
	benchmark(check_str)
	a			:			Tuple												=					can_string_be_rearranged_as_palindrome_counter(check_str)
	print(f'''{check_str} can {'' if status else 'not '}be rearranged as a palindrome''')


