





"""simple docstring"""




def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       Optional[Any]       ,			_lowercase		:       List[str]       ,			_lowercase		:       Dict       ,			_lowercase		:       List[str]=None   )					->int:






	'''simple docstring'''






	a :						Union[str, Any]      =							(path or []) + [u]
	for v in graph[u]:
		if visited_edge[u][v] is False:
			a :						Optional[Any]      =							True, True
			a :						Optional[int]      =							dfs(lowercase__       ,			lowercase__       ,			lowercase__       ,			lowercase__   )
	return path






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       str       ,			_lowercase		:       Optional[Any]   )					->Optional[Any]:






	'''simple docstring'''






	a :						int      =							0
	a :						List[Any]      =							-1
	for i in range(lowercase__   ):
		if i not in graph.keys():
			continue
		if len(graph[i]   ) % 2 == 1:
			odd_degree_nodes += 1
			a :						int      =							i
	if odd_degree_nodes == 0:
		return 1, odd_node
	if odd_degree_nodes == 2:
		return 2, odd_node
	return 3, odd_node






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       List[Any]       ,			_lowercase		:       Tuple   )					->Optional[int]:






	'''simple docstring'''






	a :						Any      =							[[False for _ in range(max_node + 1   )] for _ in range(max_node + 1   )]
	a :						Any      =							check_circuit_or_path(lowercase__       ,			lowercase__   )
	if check == 3:
		print("graph is not Eulerian"   )
		print("no path"   )
		return
	a :						List[str]      =							1
	if check == 2:
		a :						Optional[int]      =							odd_node
		print("graph has a Euler path"   )
	if check == 1:
		print("graph has a Euler cycle"   )
	a :						str      =							dfs(lowercase__       ,			lowercase__       ,			lowercase__   )
	print(lowercase__   )






def  _SCREAMING_SNAKE_CASE						(      )					->Tuple:






	'''simple docstring'''






	a :						Optional[int]      =							{1: [2, 3, 4], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [4]}
	a :						str      =							{1: [2, 3, 4, 5], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [1, 4]}
	a :						List[Any]      =							{1: [2, 3, 4], 2: [1, 3, 4], 3: [1, 2], 4: [1, 2, 5], 5: [4]}
	a :						Tuple      =							{1: [2, 3], 2: [1, 3], 3: [1, 2]}
	a :						Optional[int]      =							{
	    1: [],
	    2: []
	    # all degree is zero
	}
	a :						int      =							10
	check_euler(lowercase__       ,			lowercase__   )
	check_euler(lowercase__       ,			lowercase__   )
	check_euler(lowercase__       ,			lowercase__   )
	check_euler(lowercase__       ,			lowercase__   )
	check_euler(lowercase__       ,			lowercase__   )


if __name__ == "__main__":
		main()








"""simple docstring"""






def 	_snake_case     (							lowercase__ = 1				,       lowercase__ = 1000						):
				_lowerCamelCase	:     Optional[int]       =       1
				_lowerCamelCase	:     List[Any]       =       0

				for divide_by_number in range(lowercase__				,       digit + 1						):
								_lowerCamelCase	:     list[int]       =       []
								_lowerCamelCase	:     Dict       =       numerator
								for _ in range(1				,       digit + 1						):
												if now_divide in has_been_divided:
																if longest_list_length < len(lowercase__						):
																				_lowerCamelCase	:     Any       =       len(lowercase__						)
																				_lowerCamelCase	:     Any       =       divide_by_number
												else:
																has_been_divided.append(lowercase__						)
																_lowerCamelCase	:     int       =       now_divide * 10 % divide_by_number

				return the_digit


# Tests
if __name__ == "__main__":
			import doctest

			doctest.testmod()