


"""simple docstring"""






from __future__ import annotations

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

lowercase  		=			{
    '''A''': ['''B''', '''C'''],
    '''B''': ['''A''', '''D''', '''E'''],
    '''C''': ['''A''', '''F'''],
    '''D''': ['''B'''],
    '''E''': ['''B''', '''F'''],
    '''F''': ['''C''', '''E'''],
}



def 			A__		(					_UpperCAmelCase    :      Tuple				,    _UpperCAmelCase    :      Union[str, Any]	)							->	Tuple:

	'''simple docstring'''


	snake_case__  :						Optional[Any]		=      {start}
	snake_case__  :						Union[str, Any]		=      [start]
	snake_case__  :						List[str]		=      Queue()
	queue.put(_UpperCAmelCase	)
	while not queue.empty():
		snake_case__  :						Dict		=      queue.get()
		for w in graph[v]:
			if w not in explored:
				explored.add(_UpperCAmelCase	)
				result.append(_UpperCAmelCase	)
				queue.put(_UpperCAmelCase	)
	return result



def 			A__		(					_UpperCAmelCase    :      Tuple				,    _UpperCAmelCase    :      Tuple	)							->	str:

	'''simple docstring'''


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



def 			A__		(					_UpperCAmelCase    :      Optional[int]	)							->	Any:

	'''simple docstring'''


	snake_case__  :						Optional[int]		=      F"""from __main__ import G, {name}"""
	snake_case__  :						List[str]		=      1_00_00
	snake_case__  :						Optional[Any]		=      timeit(F"""{name}(G, \'A\')"""				,    setup=_UpperCAmelCase				,    number=_UpperCAmelCase	)
	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










from __future__ import annotations

class        _A			:



       def __init__(						self				:	str	,						__SCREAMING_SNAKE_CASE				:	int = 0):


           '''simple docstring'''

           __a					=							value
           __a					=							None
           __a					=							None





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase							):
    if treea is None:
        return treea
    if treea is None:
        return treea

    __a					=							treea.value + treea.value
    __a					=							merge_two_binary_trees(treea.left  ,					treea.left							)
    __a					=							merge_two_binary_trees(treea.right  ,					treea.right							)
    return treea





def 	__snake_case      (     _UpperCAmelCase							):
    if root:
        print(root.value							)
        print_preorder(root.left							)
        print_preorder(root.right							)


if __name__ == "__main__":
 __snake_case		:List[Any] 						=	Node(1)
 __snake_case		:Optional[Any] 						=	Node(2)
 __snake_case		:Dict 						=	Node(3)
 __snake_case		:int 						=	Node(4)

 __snake_case		:List[str] 						=	Node(2)
 __snake_case		:List[str] 						=	Node(4)
 __snake_case		:Tuple 						=	Node(6)
 __snake_case		:str 						=	Node(9)
 __snake_case		:List[str] 						=	Node(5)

 print('''Tree1 is: ''')
 print_preorder(treea)
 print('''Tree2 is: ''')
 print_preorder(treea)
 __snake_case		:Union[str, Any] 						=	merge_two_binary_trees(treea, treea)
 print('''Merged Tree is: ''')
 print_preorder(merged_tree)





