





'''simple docstring'''




from __future__ import annotations

from collections import deque
from queue import Queue
from timeit import timeit

__UpperCAmelCase         =   {
    """A""": ["""B""", """C"""],
    """B""": ["""A""", """D""", """E"""],
    """C""": ["""A""", """F"""],
    """D""": ["""B"""],
    """E""": ["""B""", """F"""],
    """F""": ["""C""", """E"""],
}



def 						__A						(       lowerCamelCase_	,	lowerCamelCase_					):


		"""simple docstring"""



		SCREAMING_SNAKE_CASE				:							str						=	{start}
		SCREAMING_SNAKE_CASE				:							List[str]						=	[start]
		SCREAMING_SNAKE_CASE				:							str						=	Queue()
		queue.put(lowerCamelCase_					)
		while not queue.empty():
				SCREAMING_SNAKE_CASE				:							Optional[int]						=	queue.get()
				for w in graph[v]:
						if w not in explored:
								explored.add(lowerCamelCase_					)
								result.append(lowerCamelCase_					)
								queue.put(lowerCamelCase_					)
		return result



def 						__A						(       lowerCamelCase_	,	lowerCamelCase_					):


		"""simple docstring"""



		SCREAMING_SNAKE_CASE				:							Any						=	{start}
		SCREAMING_SNAKE_CASE				:							Tuple						=	[start]
		SCREAMING_SNAKE_CASE				:							Tuple						=	deque([start]					)
		while queue:
				SCREAMING_SNAKE_CASE				:							int						=	queue.popleft()
				for child in graph[v]:
						if child not in visited:
								visited.add(lowerCamelCase_					)
								result.append(lowerCamelCase_					)
								queue.append(lowerCamelCase_					)
		return result



def 						__A						(       lowerCamelCase_					):


		"""simple docstring"""



		SCREAMING_SNAKE_CASE				:							List[str]						=	f'''from __main__ import G, {name}'''
		SCREAMING_SNAKE_CASE				:							Optional[Any]						=	1_00_00
		SCREAMING_SNAKE_CASE				:							Any						=	timeit(f'''{name}(G, \'A\')'''	,	setup=lowerCamelCase_	,	number=lowerCamelCase_					)
		print(f'''{name:<35} finished {number} runs in {res:.5f} seconds'''					)


if __name__ == "__main__":
							import doctest

							doctest.testmod()

							benchmark_function("""breadth_first_search""")
							benchmark_function("""breadth_first_search_with_deque""")
							# breadth_first_search                finished 10000 runs in 0.20999 seconds
							# breadth_first_search_with_deque     finished 10000 runs in 0.01421 seconds









'''simple docstring'''




from __future__ import annotations



def 						__A						(       lowerCamelCase_					):


		"""simple docstring"""



		if len(lowerCamelCase_					) == 0:
				raise ValueError("""find_min() arg is an empty sequence"""					)
		SCREAMING_SNAKE_CASE				:							Union[str, Any]						=	nums[0]
		for num in nums:
				SCREAMING_SNAKE_CASE				:							Union[str, Any]						=	min(lowerCamelCase_	,	lowerCamelCase_					)
		return min_num


if __name__ == "__main__":
							import doctest

							doctest.testmod(verbose=True)



