


"""simple docstring"""







from __future__ import annotations

from sys import maxsize
from typing import Generic, TypeVar

a__				:							str						=     TypeVar('''T''')




def    UpperCAmelCase__       (lowerCAmelCase_   ):




					'''simple docstring'''


					return (position - 1) // 2




def    UpperCAmelCase__       (lowerCAmelCase_   ):




					'''simple docstring'''


					return (2 * position) + 1




def    UpperCAmelCase__       (lowerCAmelCase_   ):




					'''simple docstring'''


					return (2 * position) + 2




class  UpperCamelCase_	( Generic[T]):

	"""simple docstring"""





	def __init__( self			:				int   )       ->	None:
						__SCREAMING_SNAKE_CASE						   =				[]
						__SCREAMING_SNAKE_CASE						   =				{}
						__SCREAMING_SNAKE_CASE						   =				0




	def __len__( self			:				Any   )       ->	int:
						return self.elements




	def __repr__( self			:				List[Any]   )       ->	str:
						return str(self.heap   )




	def   UpperCAmelCase_      ( self			:				List[str]   )       ->	bool:
						return self.elements == 0




	def   UpperCAmelCase_      ( self			:				int			,			UpperCAmelCase__			:				int			,			UpperCAmelCase__			:				str   )       ->	None:
						self.heap.append((elem, weight)   )
						__SCREAMING_SNAKE_CASE						   =				self.elements
						self.elements += 1
						self._bubble_up(A_   )




	def   UpperCAmelCase_      ( self			:				List[Any]   )       ->	T:
						# Remove and return the element with lowest weight (highest priority)
						if self.elements > 1:
											self._swap_nodes(0			,			self.elements - 1   )
						__SCREAMING_SNAKE_CASE   ,  __SCREAMING_SNAKE_CASE						   =				self.heap.pop()
						del self.position_map[elem]
						self.elements -= 1
						if self.elements > 0:
											__SCREAMING_SNAKE_CASE   ,  __SCREAMING_SNAKE_CASE						   =				self.heap[0]
											self._bubble_down(A_   )
						return elem




	def   UpperCAmelCase_      ( self			:				Dict			,			UpperCAmelCase__			:				int			,			UpperCAmelCase__			:				List[Any]   )       ->	None:
						__SCREAMING_SNAKE_CASE						   =				self.position_map[elem]
						__SCREAMING_SNAKE_CASE						   =				(elem, weight)
						if position > 0:
											__SCREAMING_SNAKE_CASE						   =				get_parent_position(A_   )
											__SCREAMING_SNAKE_CASE   ,  __SCREAMING_SNAKE_CASE						   =				self.heap[parent_position]
											if parent_weight > weight:
																self._bubble_up(A_   )
											else:
																self._bubble_down(A_   )
						else:
											self._bubble_down(A_   )




	def   UpperCAmelCase_      ( self			:				Union[str, Any]			,			UpperCAmelCase__			:				Optional[Any]   )       ->	None:
						__SCREAMING_SNAKE_CASE						   =				self.position_map[elem]
						if curr_pos == 0:
											return None
						__SCREAMING_SNAKE_CASE						   =				get_parent_position(A_   )
						__SCREAMING_SNAKE_CASE   ,  __SCREAMING_SNAKE_CASE						   =				self.heap[curr_pos]
						__SCREAMING_SNAKE_CASE   ,  __SCREAMING_SNAKE_CASE						   =				self.heap[parent_position]
						if parent_weight > weight:
											self._swap_nodes(A_			,			A_   )
											return self._bubble_up(A_   )
						return None




	def   UpperCAmelCase_      ( self			:				Any			,			UpperCAmelCase__			:				Any   )       ->	None:
						__SCREAMING_SNAKE_CASE						   =				self.position_map[elem]
						__SCREAMING_SNAKE_CASE   ,  __SCREAMING_SNAKE_CASE						   =				self.heap[curr_pos]
						__SCREAMING_SNAKE_CASE						   =				get_child_left_position(A_   )
						__SCREAMING_SNAKE_CASE						   =				get_child_right_position(A_   )
						if child_left_position < self.elements and child_right_position < self.elements:
											__SCREAMING_SNAKE_CASE   ,  __SCREAMING_SNAKE_CASE						   =				self.heap[child_left_position]
											__SCREAMING_SNAKE_CASE   ,  __SCREAMING_SNAKE_CASE						   =				self.heap[child_right_position]
											if child_right_weight < child_left_weight and child_right_weight < weight:
																self._swap_nodes(A_			,			A_   )
																return self._bubble_down(A_   )
						if child_left_position < self.elements:
											__SCREAMING_SNAKE_CASE   ,  __SCREAMING_SNAKE_CASE						   =				self.heap[child_left_position]
											if child_left_weight < weight:
																self._swap_nodes(A_			,			A_   )
																return self._bubble_down(A_   )
						else:
											return None
						if child_right_position < self.elements:
											__SCREAMING_SNAKE_CASE   ,  __SCREAMING_SNAKE_CASE						   =				self.heap[child_right_position]
											if child_right_weight < weight:
																self._swap_nodes(A_			,			A_   )
																return self._bubble_down(A_   )
						return None




	def   UpperCAmelCase_      ( self			:				Optional[Any]			,			UpperCAmelCase__			:				Any			,			UpperCAmelCase__			:				int   )       ->	None:
						__SCREAMING_SNAKE_CASE						   =				self.heap[nodea_pos][0]
						__SCREAMING_SNAKE_CASE						   =				self.heap[nodea_pos][0]
						__SCREAMING_SNAKE_CASE   ,  __SCREAMING_SNAKE_CASE						   =				(
						    self.heap[nodea_pos],
						    self.heap[nodea_pos],
						)
						__SCREAMING_SNAKE_CASE						   =				nodea_pos
						__SCREAMING_SNAKE_CASE						   =				nodea_pos




class  UpperCamelCase_	( Generic[T]):

	"""simple docstring"""





	def __init__( self			:				Dict   )       ->	None:
						__SCREAMING_SNAKE_CASE						   =				{}
						__SCREAMING_SNAKE_CASE						   =				0




	def __repr__( self			:				Any   )       ->	str:
						return str(self.connections   )




	def __len__( self			:				Dict   )       ->	int:
						return self.nodes




	def   UpperCAmelCase_      ( self			:				Union[str, Any]			,			UpperCAmelCase__			:				Tuple   )       ->	None:
						# Add a node in the graph if it is not in the graph
						if node not in self.connections:
											__SCREAMING_SNAKE_CASE						   =				{}
											self.nodes += 1




	def   UpperCAmelCase_      ( self			:				Tuple			,			UpperCAmelCase__			:				List[Any]			,			UpperCAmelCase__			:				List[str]			,			UpperCAmelCase__			:				Tuple   )       ->	None:
						self.add_node(A_   )
						self.add_node(A_   )
						__SCREAMING_SNAKE_CASE						   =				weight
						__SCREAMING_SNAKE_CASE						   =				weight




def    UpperCAmelCase__       (lowerCAmelCase_  ,						):




					'''simple docstring'''


					__SCREAMING_SNAKE_CASE						   =				{node: maxsize for node in graph.connections}
					__SCREAMING_SNAKE_CASE						   =				{node: None for node in graph.connections}

					__SCREAMING_SNAKE_CASE						   =				MinPriorityQueue()
					for node, weight in dist.items():
										priority_queue.push(lowerCAmelCase_  ,						lowerCAmelCase_   )

					if priority_queue.is_empty():
										return dist, parent

					# initialization
					__SCREAMING_SNAKE_CASE						   =				priority_queue.extract_min()
					__SCREAMING_SNAKE_CASE						   =				0
					for neighbour in graph.connections[node]:
										if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
															__SCREAMING_SNAKE_CASE						   =				dist[node] + graph.connections[node][neighbour]
															priority_queue.update_key(lowerCAmelCase_  ,						dist[neighbour]   )
															__SCREAMING_SNAKE_CASE						   =				node

    # running prim's algorithm
					while not priority_queue.is_empty():
										__SCREAMING_SNAKE_CASE						   =				priority_queue.extract_min()
										for neighbour in graph.connections[node]:
															if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
																				__SCREAMING_SNAKE_CASE						   =				dist[node] + graph.connections[node][neighbour]
																				priority_queue.update_key(lowerCAmelCase_  ,						dist[neighbour]   )
																				__SCREAMING_SNAKE_CASE						   =				node
					return dist, parent


def       A       (					lowercase )   ->  str:
		'''simple docstring'''

		return " ".join(
		    ''.join(word[::-1] ) if len(lowercase ) > 4 else word for word in sentence.split() )


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					print(reverse_long_words("Hey wollef sroirraw"))
