


'''simple docstring'''







import heapq



def 						_UpperCamelCase							( UpperCamelCase__     ,   UpperCamelCase__     ,   UpperCamelCase__		):






				"""simple docstring"""



				__magic_name__				:					Optional[int]						       =       [(0, start)]  # cost from start node,end node
				__magic_name__				:					Optional[Any]						       =       set()
				while heap:
								((__magic_name__)       ,     (__magic_name__))				:					List[str]						       =       heapq.heappop(_A		)
								if u in visited:
												continue
								visited.add(_A		)
								if u == end:
												return cost
								for v, c in graph[u]:
												if v in visited:
																continue
												__magic_name__				:					Dict						       =       cost + c
												heapq.heappush(_A     ,   (next_item, v)		)
				return -1


_SCREAMING_SNAKE_CASE       :   Tuple        = {
    'A': [['B', 2], ['C', 5]],
    'B': [['A', 2], ['D', 3], ['E', 1], ['F', 1]],
    'C': [['A', 5], ['F', 3]],
    'D': [['B', 3]],
    'E': [['B', 4], ['F', 3]],
    'F': [['C', 3], ['E', 3]],
}
_SCREAMING_SNAKE_CASE       :   Optional[Any]        = {
    'B': [['C', 1]],
    'C': [['D', 1]],
    'D': [['F', 1]],
    'E': [['B', 1], ['F', 3]],
    'F': [],
}
_SCREAMING_SNAKE_CASE       :   int        = {
    'B': [['C', 1]],
    'C': [['D', 1]],
    'D': [['F', 1]],
    'E': [['B', 1], ['G', 2]],
    'F': [],
    'G': [['F', 1]],
}

_SCREAMING_SNAKE_CASE       :   Union[str, Any]        = dijkstra(G, "E", "C")
print(short_distance)  # E -- 3 --> F -- 3 --> C == 6

_SCREAMING_SNAKE_CASE       :   Any        = dijkstra(Ga, "E", "F")
print(short_distance)  # E -- 3 --> F == 3

_SCREAMING_SNAKE_CASE       :   Union[str, Any]        = dijkstra(Ga, "E", "F")
print(short_distance)  # E -- 2 --> G -- 1 --> F == 3

if __name__ == "__main__":
	import doctest

	doctest.testmod()



'''simple docstring'''







def 						_UpperCamelCase							( UpperCamelCase__		):






				"""simple docstring"""



				if not isinstance(UpperCamelCase__     ,   UpperCamelCase__		) or number < 0:
								raise ValueError("Input must be a non-negative integer"		)

				__magic_name__				:					str						       =       number & ~(number - 1)
				__magic_name__				:					Optional[int]						       =       0
				while intermediate:
								intermediate >>= 1
								index += 1
				return index - 1


if __name__ == "__main__":
		import doctest

		doctest.testmod(verbose=True)