



"""simple docstring"""





def 						__lowerCAmelCase    (		__UpperCamelCase   :      List[str]     ):


						'''simple docstring'''






						if len(__A     ) < 2:
												return collection

						def circle_sort_util(__UpperCamelCase   :      List[Any]       ,			__UpperCamelCase   :      Optional[Any]       ,			__UpperCamelCase   :      Optional[int]     ) -> bool:
												snake_case_ :			Any            =      False

												if low == high:
																		return swapped

												snake_case_ :			List[str]            =      low
												snake_case_ :			List[str]            =      high

												while left < right:
																		if collection[left] > collection[right]:
																								snake_case_ :			List[Any]            =      (
																								    collection[right],
																								    collection[left],
																								)
																								snake_case_ :			str            =      True

																		left += 1
																		right -= 1

												if left == right and collection[left] > collection[right + 1]:
																		snake_case_ :			int            =      (
																		    collection[right + 1],
																		    collection[left],
																		)

																		snake_case_ :			Any            =      True

												snake_case_ :			str            =      low + int((high - low) / 2     )
												snake_case_ :			str            =      circle_sort_util(__A       ,			__A       ,			__A     )
												snake_case_ :			List[Any]            =      circle_sort_util(__A       ,			mid + 1       ,			__A     )

												return swapped or left_swap or right_swap

						snake_case_ :			str            =      True

						while is_not_sorted is True:
												snake_case_ :			Tuple            =      circle_sort_util(__A       ,			0       ,			len(__A     ) - 1     )

						return collection


if __name__ == "__main__":
					__lowerCAmelCase							:       Optional[int]          =       input('''Enter numbers separated by a comma:\n''').strip()
					__lowerCAmelCase							:       List[Any]          =       [int(item) for item in user_input.split(''',''')]
					print(circle_sort(unsorted))









def     a_   (__A      )				->						Dict:



					"""simple docstring"""
					if not head:
										return True
					# split the list to two parts
					__a      ,			__a					:						Any      =					head.next, head
					while fast and fast.next:
										__a					:						Optional[int]      =					fast.next.next
										__a					:						Optional[int]      =					slow.next
					__a					:						Optional[int]      =					slow.next
					__a					:						Tuple      =					None  # Don't forget here! But forget still works!
					# reverse the second part
					__a					:						Any      =					None
					while second:
										__a					:						int      =					second.next
										__a					:						int      =					node
										__a					:						Union[str, Any]      =					second
										__a					:						Union[str, Any]      =					nxt
					# compare two parts
					# second part has the same or one less node
					while node:
										if node.val != head.val:
															return False
										__a					:						int      =					node.next
										__a					:						Dict      =					head.next
					return True







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



					"""simple docstring"""
					if not head or not head.next:
										return True

					# 1. Get the midpoint (slow)
					__a					:						Union[str, Any]      =					head
					while fast and fast.next:
										__a      ,			__a					:						List[str]      =					fast.next.next, slow.next

					# 2. Push the second half into the stack
					__a					:						Dict      =					[slow.val]
					while slow.next:
										__a					:						Optional[Any]      =					slow.next
										stack.append(slow.val      )

					# 3. Comparison
					while stack:
										if stack.pop() != cur.val:
															return False
										__a					:						List[str]      =					cur.next

					return True







def     a_   (__A      )				->						List[str]:



					"""simple docstring"""
					if not head or not head.next:
										return True
					__a					:						Optional[int]      =					{}
					__a					:						Optional[int]      =					0
					while head:
										if head.val in d:
															d[head.val].append(__A      )
										else:
															__a					:						Dict      =					[pos]
										__a					:						Dict      =					head.next
										pos += 1
					__a					:						Dict      =					pos - 1
					__a					:						Optional[int]      =					0
					for v in d.values():
										if len(__A      ) % 2 != 0:
															middle += 1
										else:
															__a					:						Dict      =					0
															for i in range(0				,       len(__A      )      ):
																				if v[i] + v[len(__A      ) - 1 - step] != checksum:
																									return False
																				step += 1
										if middle > 1:
															return False
					return True





