

class    _a						:


					'''simple docstring'''






					def __init__(			self      ):
						A__							:   str					       =		{}






					def   __A      (			self      ):
						print(self.vertex      )
						for i in self.vertex:
							print(A__   ,	""" -> """   ,	""" -> """.join([str(A__      ) for j in self.vertex[i]]      )      )






					def   __A      (			self   ,	A__   ,	A__      ):
						# check if vertex is already present,
						if from_vertex in self.vertex:
							self.vertex[from_vertex].append(A__      )
						else:
							# else make a new vertex
							A__							:   List[Any]					       =		[to_vertex]






					def   __A      (			self      ):
						# visited array for storing already visited nodes
						A__							:   List[Any]					       =		[False] * len(self.vertex      )

						# call the recursive helper function
						for i in range(len(self.vertex      )      ):
							if not visited[i]:
								self.dfs_recursive(A__   ,	A__      )






					def   __A      (			self   ,	A__   ,	A__      ):
						# mark start vertex as visited
						A__							:   int					       =		True

						print(A__   ,	end=""" """      )

						# Recur for all the vertices that are adjacent to this node
						for i in self.vertex:
							if not visited[i]:
								self.dfs_recursive(A__   ,	A__      )


if __name__ == "__main__":
							A_	:			Union[str, Any]  	=      Graph()
							g.add_edge(0, 1)
							g.add_edge(0, 2)
							g.add_edge(1, 2)
							g.add_edge(2, 0)
							g.add_edge(2, 3)
							g.add_edge(3, 3)

							g.print_graph()
							print('DFS:')
							g.dfs()

							# OUTPUT:
							# 0  ->  1 -> 2
							# 1  ->  2
							# 2  ->  0 -> 3
							# 3  ->  3
							# DFS:
							#  0 1 2 3






from __future__ import annotations

def 						UpperCamelCase (lowercase_:			list[int]   ,				lowercase_:			list[int]   ,				lowercase_:			int )					->				tuple[float, list[float]]:
	A__							:   Tuple					       =		list(range(len(lowercase_ ) ) )
	A__							:   Union[str, Any]					       =		[v / w for v, w in zip(lowercase_   ,				lowercase_ )]
	index.sort(key=lambda lowercase_ : ratio[i]   ,				reverse=lowercase_ )

	A__							:   float					       =		0
	A__							:   list[float]					       =		[0] * len(lowercase_ )
	for i in index:
		if weight[i] <= capacity:
			A__							:   Optional[int]					       =		1
			max_value += value[i]
			capacity -= weight[i]
		else:
			A__							:   Union[str, Any]					       =		capacity / weight[i]
			max_value += value[i] * capacity / weight[i]
			break

	return max_value, fractions


if __name__ == "__main__":
	import doctest

	doctest.testmod()



