from __future__ import annotations

__lowerCamelCase					:	List[Any]       =  list[tuple[int, int]]

__lowerCamelCase					:	List[Any]       =  [
    [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],
]

__lowerCamelCase					:	Union[str, Any]       =  ([-1, 0], [0, -1], [1, 0], [0, 1])  # up, left, down, right






class 		a__						:

					def __init__(    self      :       List[Any],_A      :       int,_A      :       int,_A      :       int,_A      :       int,_A      :       float,_A      :       Node | None,):







							"""simple docstring"""






							SCREAMING_SNAKE_CASE_  :		str				      =    pos_x
							SCREAMING_SNAKE_CASE_  :		Any				      =    pos_y
							SCREAMING_SNAKE_CASE_  :		str				      =    (pos_y, pos_x)
							SCREAMING_SNAKE_CASE_  :		Tuple				      =    goal_x
							SCREAMING_SNAKE_CASE_  :		Any				      =    goal_y
							SCREAMING_SNAKE_CASE_  :		str				      =    g_cost
							SCREAMING_SNAKE_CASE_  :		str				      =    parent
							SCREAMING_SNAKE_CASE_  :		Dict				      =    self.calculate_heuristic()

					def 				__UpperCamelCase   (    self      :       int    ):







							"""simple docstring"""






							SCREAMING_SNAKE_CASE_  :		Any				      =    abs(self.pos_x - self.goal_x    )
							SCREAMING_SNAKE_CASE_  :		Optional[Any]				      =    abs(self.pos_y - self.goal_y    )
							return dx + dy






					def __lt__(    self      :       Union[str, Any],_A      :       Tuple    ):







							"""simple docstring"""






							return self.f_cost < other.f_cost







class 		a__						:

					def __init__(    self      :       Optional[int],_A      :       tuple[int, int],_A      :       tuple[int, int]    ):







							"""simple docstring"""






							SCREAMING_SNAKE_CASE_  :		List[str]				      =    Node(start[1],start[0],goal[1],goal[0],0,_A    )
							SCREAMING_SNAKE_CASE_  :		List[str]				      =    Node(goal[1],goal[0],goal[1],goal[0],9_9999,_A    )

							SCREAMING_SNAKE_CASE_  :		Optional[int]				      =    [self.start]
							SCREAMING_SNAKE_CASE_  :		list[Node]				      =    []

							SCREAMING_SNAKE_CASE_  :		Dict				      =    False

					def 				__UpperCamelCase   (    self      :       str    ):







							"""simple docstring"""






							while self.open_nodes:
									# Open Nodes are sorted using __lt__
									self.open_nodes.sort()
									SCREAMING_SNAKE_CASE_  :		List[str]				      =    self.open_nodes.pop(0    )

									if current_node.pos == self.target.pos:
											SCREAMING_SNAKE_CASE_  :		Optional[int]				      =    True
											return self.retrace_path(_A    )

									self.closed_nodes.append(_A    )
									SCREAMING_SNAKE_CASE_  :		List[str]				      =    self.get_successors(_A    )

									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(_A    )
											else:
													# retrieve the best current path
													SCREAMING_SNAKE_CASE_  :		Tuple				      =    self.open_nodes.pop(self.open_nodes.index(_A    )    )

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

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

					def 				__UpperCamelCase   (    self      :       Union[str, Any],_A      :       Node    ):







							"""simple docstring"""






							SCREAMING_SNAKE_CASE_  :		List[str]				      =    []
							for action in delta:
									SCREAMING_SNAKE_CASE_  :		Dict				      =    parent.pos_x + action[1]
									SCREAMING_SNAKE_CASE_  :		Dict				      =    parent.pos_y + action[0]

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

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

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






					def 				__UpperCamelCase   (    self      :       List[Any],_A      :       Node | None    ):







							"""simple docstring"""






							SCREAMING_SNAKE_CASE_  :		Union[str, Any]				      =    node
							SCREAMING_SNAKE_CASE_  :		Optional[int]				      =    []
							while current_node is not None:
									path.append((current_node.pos_y, current_node.pos_x)    )
									SCREAMING_SNAKE_CASE_  :		Optional[Any]				      =    current_node.parent
							path.reverse()
							return path


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

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

		__lowerCamelCase					:	Tuple       =  GreedyBestFirst(init, goal)
		__lowerCamelCase					:	Optional[int]       =  greedy_bf.search()
		if path:
				for pos_x, pos_y in path:
						__lowerCamelCase					:	str       =  2

				for elem in grid:
						print(elem)

from __future__ import annotations

from math import pi, sqrt




def       _snake_case	(   lowerCAmelCase							:   float   , lowerCAmelCase							:   float	):
		"""simple docstring"""







		if inductance <= 0:
				raise ValueError("Inductance cannot be 0 or negative"	)

		elif capacitance <= 0:
				raise ValueError("Capacitance cannot be 0 or negative"	)

		else:
				return (
				    "Resonant frequency",
				    float(1 / (2 * pi * (sqrt(inductance * capacitance	)))	),
				)


if __name__ == "__main__":
		import doctest

		doctest.testmod()
