




__UpperCamelCase   :			Union[str, Any]          = {
    "A": ["B", "C", "E"],
    "B": ["A", "D", "E"],
    "C": ["A", "F", "G"],
    "D": ["B"],
    "E": ["A", "B", "D"],
    "F": ["C"],
    "G": ["C"],
}





def 						__A						(      __lowerCamelCase				,     __lowerCamelCase				,     __lowerCamelCase       ) ->			list[str]:
	a									=				set()
	# keep track of all the paths to be checked
	a									=				[[start]]

	# return path if start is goal
	if start == goal:
		return [start]

	# keeps looping until all possible paths have been checked
	while queue:
		# pop the first path from the queue
		a									=				queue.pop(0       )
		# get the last node from the path
		a									=				path[-1]
		if node not in explored:
			a									=				graph[node]
			# go through all neighbour nodes, construct a new path and
			# push it into the queue
			for neighbour in neighbours:
				a									=				list(__lowerCamelCase       )
				new_path.append(__lowerCamelCase       )
				queue.append(__lowerCamelCase       )
				# return path if neighbour is goal
				if neighbour == goal:
					return new_path

            # mark node as explored
			explored.add(__lowerCamelCase       )

    # in case there's no path between the 2 nodes
	return []





def 						__A						(      __lowerCamelCase				,     __lowerCamelCase				,     __lowerCamelCase       ) ->			int:
	if not graph or start not in graph or target not in graph:
		return -1
	if start == target:
		return 0
	a									=				[start]
	a									=				set(__lowerCamelCase       )
	# Keep tab on distances from `start` node.
	a									=				{start: 0, target: -1}
	while queue:
		a									=				queue.pop(0       )
		if node == target:
			a									=				(
			    dist[node] if dist[target] == -1 else min(dist[target]				,     dist[node]       )
			)
		for adjacent in graph[node]:
			if adjacent not in visited:
				visited.add(__lowerCamelCase       )
				queue.append(__lowerCamelCase       )
				a									=				dist[node] + 1
	return dist[target]


if __name__ == "__main__":
		print(bfs_shortest_path(demo_graph, "G", "D"))  # returns ['G', 'C', 'A', 'B', 'D']
		print(bfs_shortest_path_distance(demo_graph, "G", "D"))  # returns 4







from math import factorial, radians





def 						__A						(      __lowerCamelCase				,     __lowerCamelCase = 18				,     __lowerCamelCase = 10       ) ->			float:
	a									=				angle_in_degrees - ((angle_in_degrees // 360.0) * 360.0)

	# Converting from degrees to radians
	a									=				radians(__lowerCamelCase       )

	a									=				angle_in_radians
	a									=				3
	a									=				-1

	for _ in range(__lowerCamelCase       ):
		result += (b * (angle_in_radians**a)) / factorial(__lowerCamelCase       )

		a									=				-b  # One positive term and the next will be negative and so on...
		a += 2  # Increased by 2 for every term.

	return round(__lowerCamelCase				,     __lowerCamelCase       )


if __name__ == "__main__":
		__import__("doctest").testmod()

