




from __future__ import annotations

lowercase_						=				list[tuple[int, int]]

lowercase_						=				[
    [0, 0, 0, 0, 0, 0, 0],
    [0, 1, 0, 0, 0, 0, 0],  # 0 are free path whereas 1's are obstacles
    [0, 0, 0, 0, 0, 0, 0],
    [0, 0, 1, 0, 0, 0, 0],
    [1, 0, 1, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 1, 0, 0],
]

lowercase_						=				([-1, 0], [0, -1], [1, 0], [0, 1])  # up, left, down, right





class 						A__							:






	def __init__(      self							,	lowerCamelCase							,	lowerCamelCase							,	lowerCamelCase							,	lowerCamelCase							,	lowerCamelCase							,	lowerCamelCase							,	) ->  List[Any]:




						"""simple docstring"""






						__magic_name__   :				List[str]						  =				pos_x
						__magic_name__   :				Tuple						  =				pos_y
						__magic_name__   :				int						  =				(pos_y, pos_x)
						__magic_name__   :				Dict						  =				goal_x
						__magic_name__   :				int						  =				goal_y
						__magic_name__   :				List[Any]						  =				g_cost
						__magic_name__   :				List[Any]						  =				parent
						__magic_name__   :				Tuple						  =				self.calculate_heuristic()






	def 					lowercase (      self		) ->  Union[str, Any]:




						"""simple docstring"""






						__magic_name__   :				Dict						  =				abs(self.pos_x - self.goal_x		)
						__magic_name__   :				Union[str, Any]						  =				abs(self.pos_y - self.goal_y		)
						return dx + dy






	def __lt__(      self							,	lowerCamelCase		) ->  Dict:




						"""simple docstring"""






						return self.f_cost < other.f_cost





class 						A__							:






	def __init__(      self							,	lowerCamelCase							,	lowerCamelCase		) ->  List[Any]:




						"""simple docstring"""






						__magic_name__   :				List[Any]						  =				Node(start[1]							,	start[0]							,	goal[1]							,	goal[0]							,	0							,	_lowerCamelCase		)
						__magic_name__   :				int						  =				Node(goal[1]							,	goal[0]							,	goal[1]							,	goal[0]							,	99999							,	_lowerCamelCase		)

						__magic_name__   :				Any						  =				[self.start]
						__magic_name__   :				List[Any]						  =				[]

						__magic_name__   :				Dict						  =				False






	def 					lowercase (      self		) ->  Any:




						"""simple docstring"""






						while self.open_nodes:
											# Open Nodes are sorted using __lt__
											self.open_nodes.sort()
											__magic_name__   :				Optional[Any]						  =				self.open_nodes.pop(0		)

											if current_node.pos == self.target.pos:
																__magic_name__   :				str						  =				True
																return self.retrace_path(_lowerCamelCase		)

											self.closed_nodes.append(_lowerCamelCase		)
											__magic_name__   :				Union[str, Any]						  =				self.get_successors(_lowerCamelCase		)

											for child_node in successors:
																if child_node in self.closed_nodes:
																					continue

																if child_node not in self.open_nodes:
																					self.open_nodes.append(_lowerCamelCase		)
																else:
																					# retrieve the best current path
																					__magic_name__   :				int						  =				self.open_nodes.pop(self.open_nodes.index(_lowerCamelCase		)		)

																					if child_node.g_cost < better_node.g_cost:
																										self.open_nodes.append(_lowerCamelCase		)
																					else:
																										self.open_nodes.append(_lowerCamelCase		)

						if not self.reached:
											return [self.start.pos]
						return None






	def 					lowercase (      self							,	lowerCamelCase		) ->  List[str]:




						"""simple docstring"""






						__magic_name__   :				Any						  =				[]
						for action in delta:
											__magic_name__   :				Tuple						  =				parent.pos_x + action[1]
											__magic_name__   :				Optional[Any]						  =				parent.pos_y + action[0]

											if not (0 <= pos_x <= len(grid[0]		) - 1 and 0 <= pos_y <= len(_lowerCamelCase		) - 1):
																continue

											if grid[pos_y][pos_x] != 0:
																continue

											successors.append(
											    Node(
											        _lowerCamelCase							,	_lowerCamelCase							,	self.target.pos_y							,	self.target.pos_x							,	parent.g_cost + 1							,	_lowerCamelCase							,	)		)
						return successors






	def 					lowercase (      self							,	lowerCamelCase		) ->  List[Any]:




						"""simple docstring"""






						__magic_name__   :				Dict						  =				node
						__magic_name__   :				Dict						  =				[]
						while current_node is not None:
											path.append((current_node.pos_y, current_node.pos_x)		)
											__magic_name__   :				List[str]						  =				current_node.parent
						path.reverse()
						return path


if __name__ == "__main__":
				lowercase_						=				(0, 0)
				lowercase_						=				(len(grid) - 1, len(grid[0]) - 1)
				for elem in grid:
								print(elem)

				print('''------''')

				lowercase_						=				GreedyBestFirst(init, goal)
				lowercase_						=				greedy_bf.search()
				if path:
								for pos_x, pos_y in path:
												lowercase_						=				2

								for elem in grid:
												print(elem)




'''simple docstring'''

def snake_case_      (					__snake_case  :							int	,   __snake_case  :							int	,   __snake_case  :							int)			->					float:
   lowerCAmelCase_			=      (num_of_terms / 2) * (2 * first_term + (num_of_terms - 1) * common_diff)
   # formula for sum of series
   return total



def snake_case_      (					)			->					str:
   print(sum_of_series(1	,   1	,   10))


if __name__ == "__main__":
 import doctest

 doctest.testmod()





