




"""simple docstring"""






from collections import Counter
from timeit import timeit







def 	_snake_case     (							lowercase__ = ""				,       ):
				return sum(c % 2 for c in Counter(input_str.replace(' '				,       ''						).lower()						).values()						) < 2







def 	_snake_case     (							lowercase__ = ""						):
				if len(lowercase__						) == 0:
								return True
				_lowerCamelCase	:     Any       =       input_str.replace(' '				,       ''						).lower()
				# character_freq_dict: Stores the frequency of every character in the input string
				_lowerCamelCase	:     dict[str, int]       =       {}

				for character in lower_case_input_str:
								_lowerCamelCase	:     Any       =       character_freq_dict.get(lowercase__				,       0						) + 1
				_lowerCamelCase	:     Any       =       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 	_snake_case     (							lowercase__ = ""						):
				print('\nFor string = '				,       lowercase__				,       ':'						)
				print(
				    '> can_string_be_rearranged_as_palindrome_counter()'				,       '\tans ='				,       can_string_be_rearranged_as_palindrome_counter(lowercase__						)				,       '\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(lowercase__						)				,       '\ttime ='				,       timeit(
				        'z.can_string_be_rearranged_as_palindrome(z.check_str)'				,       setup='import __main__ as z'				,       )				,       'seconds'				,       )


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





"""simple docstring"""






from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt







def 	_snake_case     (							lowercase__						):
				_lowerCamelCase	:     int       =       int(number**0.5						)
				return number == sq * sq







def 	_snake_case     (							lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__						):
				_lowerCamelCase	:     int       =       x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
				_lowerCamelCase	:     int       =       x_den * y_den * z_den
				_lowerCamelCase	:     int       =       gcd(lowercase__				,       lowercase__						)
				top //= hcf
				bottom //= hcf
				return top, bottom







def 	_snake_case     (							lowercase__ = 35						):
				_lowerCamelCase	:     set       =       set()
				_lowerCamelCase	:     int
				_lowerCamelCase	:     Fraction       =       Fraction(0						)
				_lowerCamelCase	:     tuple[int, int]

				for x_num in range(1				,       order + 1						):
								for x_den in range(x_num + 1				,       order + 1						):
												for y_num in range(1				,       order + 1						):
																for y_den in range(y_num + 1				,       order + 1						):
																				# n=1
																				_lowerCamelCase	:     int       =       x_num * y_den + x_den * y_num
																				_lowerCamelCase	:     List[Any]       =       x_den * y_den
																				_lowerCamelCase	:     int       =       gcd(lowercase__				,       lowercase__						)
																				z_num //= hcf
																				z_den //= hcf
																				if 0 < z_num < z_den <= order:
																								_lowerCamelCase	:     Optional[Any]       =       add_three(
																								    lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__						)
																								unique_s.add(lowercase__						)

																				# n=2
																				_lowerCamelCase	:     Tuple       =       (
																				    x_num * x_num * y_den * y_den + x_den * x_den * y_num * y_num
																				)
																				_lowerCamelCase	:     Dict       =       x_den * x_den * y_den * y_den
																				if is_sq(lowercase__						) and is_sq(lowercase__						):
																								_lowerCamelCase	:     Dict       =       int(sqrt(lowercase__						)						)
																								_lowerCamelCase	:     Optional[Any]       =       int(sqrt(lowercase__						)						)
																								_lowerCamelCase	:     List[Any]       =       gcd(lowercase__				,       lowercase__						)
																								z_num //= hcf
																								z_den //= hcf
																								if 0 < z_num < z_den <= order:
																												_lowerCamelCase	:     Union[str, Any]       =       add_three(
																												    lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__						)
																												unique_s.add(lowercase__						)

                    # n=-1
																				_lowerCamelCase	:     List[str]       =       x_num * y_num
																				_lowerCamelCase	:     int       =       x_den * y_num + x_num * y_den
																				_lowerCamelCase	:     Dict       =       gcd(lowercase__				,       lowercase__						)
																				z_num //= hcf
																				z_den //= hcf
																				if 0 < z_num < z_den <= order:
																								_lowerCamelCase	:     List[str]       =       add_three(
																								    lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__						)
																								unique_s.add(lowercase__						)

																				# n=2
																				_lowerCamelCase	:     Tuple       =       x_num * x_num * y_num * y_num
																				_lowerCamelCase	:     List[str]       =       (
																				    x_den * x_den * y_num * y_num + x_num * x_num * y_den * y_den
																				)
																				if is_sq(lowercase__						) and is_sq(lowercase__						):
																								_lowerCamelCase	:     Optional[int]       =       int(sqrt(lowercase__						)						)
																								_lowerCamelCase	:     Optional[int]       =       int(sqrt(lowercase__						)						)
																								_lowerCamelCase	:     Dict       =       gcd(lowercase__				,       lowercase__						)
																								z_num //= hcf
																								z_den //= hcf
																								if 0 < z_num < z_den <= order:
																												_lowerCamelCase	:     int       =       add_three(
																												    lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__				,       lowercase__						)
																												unique_s.add(lowercase__						)

				for num, den in unique_s:
								total += Fraction(lowercase__				,       lowercase__						)

				return total.denominator + total.numerator


if __name__ == "__main__":
			print(F"{solution() = }")