

'''simple docstring'''


class     a			:






						"""simple docstring"""




						def __init__(							self					:      Union[str, Any]  ):



								'''simple docstring'''



								snake_case__						:       Optional[Any]       						=  {}







						def       __magic_name__							(							self					:      Any  ):



								'''simple docstring'''



								print(self.vertex  )
								for i in self.vertex:
										print(snake_case_			,			''' -> '''			,			''' -> '''.join([str(snake_case_  ) for j in self.vertex[i]]  )  )







						def       __magic_name__							(							self					:      Optional[Any]			,			snake_case_					:      int			,			snake_case_					:      int  ):



								'''simple docstring'''



								if from_vertex in self.vertex:
										self.vertex[from_vertex].append(snake_case_  )
								else:
										# else make a new vertex
										snake_case__						:       Any       						=  [to_vertex]







						def       __magic_name__							(							self					:      List[str]  ):



								'''simple docstring'''



								snake_case__						:       Optional[int]       						=  [False] * len(self.vertex  )

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







						def       __magic_name__							(							self					:      List[str]			,			snake_case_					:      int			,			snake_case_					:      list  ):



								'''simple docstring'''



								snake_case__						:       int       						=  True

								print(snake_case_			,			end=''' '''  )

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


if __name__ == "__main__":
					lowerCAmelCase__						:       Dict											=						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






'''simple docstring'''


from bisect import bisect
from itertools import accumulate




def 	_a       (				__lowerCAmelCase		:      Optional[int]   ,							__lowerCAmelCase		:      Tuple   ,							__lowerCAmelCase		:      List[Any]   ,							__lowerCAmelCase		:      Optional[Any]     ):

		"""simple docstring"""

		snake_case__						:       Any       						=  sorted(zip(__lowerCAmelCase   ,							__lowerCAmelCase     )   ,							key=lambda __lowerCAmelCase     : x[0] / x[1]   ,							reverse=__lowerCAmelCase     )
		snake_case__						,       snake_case__						:       Union[str, Any]       						=  [i[0] for i in r], [i[1] for i in r]
		snake_case__						:       Dict       						=  list(accumulate(__lowerCAmelCase     )     )
		snake_case__						:       Optional[int]       						=  bisect(__lowerCAmelCase   ,							__lowerCAmelCase     )
		return (
		    0
		    if k == 0
		    else sum(vl[:k]     ) + (w - acc[k - 1]) * (vl[k]) / (wt[k])
		    if k != n
		    else sum(vl[:k]     )
		)


if __name__ == "__main__":
					import doctest

					doctest.testmod()



