"""simple docstring"""






from __future__ import annotations

_A   					=    '#'

class lowerCamelCase		:






					'''simple docstring'''


					def __init__(						self			:				Dict		)							->       None:
									SCREAMING_SNAKE_CASE__		  =				{}



					def 			lowerCAmelCase_					(						self			:				Tuple   , _snake_case			:				str		)							->       None:
									SCREAMING_SNAKE_CASE__		  =				self._trie
									for char in text:
													if char not in trie:
																	SCREAMING_SNAKE_CASE__		  =				{}
													SCREAMING_SNAKE_CASE__		  =				trie[char]
									SCREAMING_SNAKE_CASE__		  =				True



					def 			lowerCAmelCase_					(						self			:				Tuple   , _snake_case			:				str		)							->       tuple | list:
									SCREAMING_SNAKE_CASE__		  =				self._trie
									for char in prefix:
													if char in trie:
																	SCREAMING_SNAKE_CASE__		  =				trie[char]
													else:
																	return []
									return self._elements(_snake_case		)



					def 			lowerCAmelCase_					(						self			:				Optional[Any]   , _snake_case			:				dict		)							->       tuple:
									SCREAMING_SNAKE_CASE__		  =				[]
									for c, v in d.items():
													SCREAMING_SNAKE_CASE__		  =				[" "] if c == END else [(c + s) for s in self._elements(_snake_case		)]
													result.extend(_snake_case		)
									return tuple(_snake_case		)



_A   					=    Trie()
_A   					=    ('depart', 'detergent', 'daring', 'dog', 'deer', 'deal')
for word in words:
						trie.insert_word(word)




def 						SCREAMING_SNAKE_CASE					(  __UpperCAmelCase       )							->   tuple:
				SCREAMING_SNAKE_CASE__		  =				trie.find_word(__UpperCAmelCase       )
				return tuple(string + word for word in suffixes       )




def 						SCREAMING_SNAKE_CASE					(  )							->   None:
				print(autocomplete_using_trie("de"       )       )


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						main()





"""simple docstring"""






def 						SCREAMING_SNAKE_CASE					(  __UpperCAmelCase       )							->   List[str]:
				if not head:
								return True
				# split the list to two parts
				SCREAMING_SNAKE_CASE__  ,       SCREAMING_SNAKE_CASE__		  =				head.next, head
				while fast and fast.next:
								SCREAMING_SNAKE_CASE__		  =				fast.next.next
								SCREAMING_SNAKE_CASE__		  =				slow.next
				SCREAMING_SNAKE_CASE__		  =				slow.next
				SCREAMING_SNAKE_CASE__		  =				None  # Don't forget here! But forget still works!
				# reverse the second part
				SCREAMING_SNAKE_CASE__		  =				None
				while second:
								SCREAMING_SNAKE_CASE__		  =				second.next
								SCREAMING_SNAKE_CASE__		  =				node
								SCREAMING_SNAKE_CASE__		  =				second
								SCREAMING_SNAKE_CASE__		  =				nxt
				# compare two parts
				# second part has the same or one less node
				while node:
								if node.val != head.val:
												return False
								SCREAMING_SNAKE_CASE__		  =				node.next
								SCREAMING_SNAKE_CASE__		  =				head.next
				return True




def 						SCREAMING_SNAKE_CASE					(  __UpperCAmelCase       )							->   str:
				if not head or not head.next:
								return True

				# 1. Get the midpoint (slow)
				SCREAMING_SNAKE_CASE__		  =				SCREAMING_SNAKE_CASE__		  =				SCREAMING_SNAKE_CASE__		  =				head
				while fast and fast.next:
								SCREAMING_SNAKE_CASE__  ,       SCREAMING_SNAKE_CASE__		  =				fast.next.next, slow.next

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

				# 3. Comparison
				while stack:
								if stack.pop() != cur.val:
												return False
								SCREAMING_SNAKE_CASE__		  =				cur.next

				return True




def 						SCREAMING_SNAKE_CASE					(  __UpperCAmelCase       )							->   str:
				if not head or not head.next:
								return True
				SCREAMING_SNAKE_CASE__		  =				{}
				SCREAMING_SNAKE_CASE__		  =				0
				while head:
								if head.val in d:
												d[head.val].append(__UpperCAmelCase       )
								else:
												SCREAMING_SNAKE_CASE__		  =				[pos]
								SCREAMING_SNAKE_CASE__		  =				head.next
								pos += 1
				SCREAMING_SNAKE_CASE__		  =				pos - 1
				SCREAMING_SNAKE_CASE__		  =				0
				for v in d.values():
								if len(__UpperCAmelCase       ) % 2 != 0:
												middle += 1
								else:
												SCREAMING_SNAKE_CASE__		  =				0
												for i in range(0  ,					len(__UpperCAmelCase       )       ):
																if v[i] + v[len(__UpperCAmelCase       ) - 1 - step] != checksum:
																				return False
																step += 1
								if middle > 1:
												return False
				return True




