






from collections import deque

from .hash_table import HashTable

class     _SCREAMING_SNAKE_CASE       (			_a      ):





	def __init__(		self				:					Union[str, Any] ,  *__lowerCamelCase				:					Dict ,  **__lowerCamelCase				:					str	):
		super().__init__(*__lowerCamelCase ,  **__lowerCamelCase	)





	def 						_A (		self				:					Optional[int] ,  __lowerCamelCase				:					Union[str, Any] ,  __lowerCamelCase				:					Union[str, Any]	):
		UpperCamelCase     :List[Any]          =	deque([]	) if self.values[key] is None else self.values[key]
		self.values[key].appendleft(__lowerCamelCase	)
		UpperCamelCase     :List[str]          =	self.values[key]





	def 						_A (		self				:					List[Any]	):
		return (
		    sum(self.charge_factor - len(__lowerCamelCase	) for slot in self.values	)
		    / self.size_table
		    * self.charge_factor
		)





	def 						_A (		self				:					Tuple ,  __lowerCamelCase				:					Dict ,  __lowerCamelCase				:					Dict=None	):
		if not (
		    len(self.values[key]	) == self.charge_factor and self.values.count(__lowerCamelCase	) == 0
		):
			return key
		return super()._collision_resolution(__lowerCamelCase ,  __lowerCamelCase	)








def    SCREAMING_SNAKE_CASE_							(							__magic_name__					:  list[list[int]]	,			__magic_name__					:  int	,			__magic_name__					:  int	,			__magic_name__					:  list[int]					)		->			bool:






	"""simple docstring"""



	if graph[path[curr_ind - 1]][next_ver] == 0:
		return False

	# 2. Validate that next vertex is not already in path
	return not any(vertex == next_ver for vertex in path					)

def    SCREAMING_SNAKE_CASE_							(							__magic_name__					:  list[list[int]]	,			__magic_name__					:  list[int]	,			__magic_name__					:  int					)		->			bool:






	"""simple docstring"""



	if curr_ind == len(__magic_name__					):
		# return whether path exists between current and starting vertices
		return graph[path[curr_ind - 1]][path[0]] == 1

	# Recursive Step
	for next_ver in range(0	,			len(__magic_name__					)					):
		if valid_connection(__magic_name__	,			__magic_name__	,			__magic_name__	,			__magic_name__					):
			# Insert current vertex  into path as next transition
			UpperCamelCase     :str          =	next_ver
			# Validate created path
			if util_hamilton_cycle(__magic_name__	,			__magic_name__	,			curr_ind + 1					):
				return True
			# Backtrack
			UpperCamelCase     :Union[str, Any]          =	-1
	return False

def    SCREAMING_SNAKE_CASE_							(							__magic_name__					:  list[list[int]]	,			__magic_name__					:  int = 0					)		->			list[int]:






	"""simple docstring"""



	UpperCamelCase     :Union[str, Any]          =	[-1] * (len(__magic_name__					) + 1)
	# initialize start and end of path with starting index
	UpperCamelCase     :Any          =	start_index
	# evaluate and if we find answer return path either return empty array
	return path if util_hamilton_cycle(__magic_name__	,			__magic_name__	,			1					) else []
