


'''simple docstring'''





from __future__ import annotations

from typing import Generic, TypeVar

UpperCAmelCase__  			=				TypeVar('''T''')
class 						a__					(					Generic[T]   ):





			'''simple docstring'''

			def __init__(  self							:			Optional[Any]			,    lowerCAmelCase_							:			T	)      ->		None:
						__A=	data
						__A=	self
						__A=	0


class 						a__					(					Generic[T]   ):





			'''simple docstring'''

			def __init__(  self							:			Any	)      ->		None:
						# map from node name to the node object
						__A=	{}
			def 					lowerCAmelCase     (  self							:			List[str]			,    lowerCAmelCase_							:			T	)      ->		None:
						# create a new set with x as its member
						__A=	DisjointSetTreeNode(a_	)
			def 					lowerCAmelCase     (  self							:			List[str]			,    lowerCAmelCase_							:			T	)      ->		DisjointSetTreeNode[T]:
						# find the set x belongs to (with path-compression)
						__A=	self.map[data]
						if elem_ref != elem_ref.parent:
									__A=	self.find_set(elem_ref.parent.data	)
						return elem_ref.parent
			def 					lowerCAmelCase     (  self							:			Optional[int]			,    lowerCAmelCase_							:			DisjointSetTreeNode[T]			,    lowerCAmelCase_							:			DisjointSetTreeNode[T]	)      ->		None:
						# helper function for union operation
						if nodea.rank > nodea.rank:
									__A=	nodea
						else:
									__A=	nodea
									if nodea.rank == nodea.rank:
												nodea.rank += 1

			def 					lowerCAmelCase     (  self							:			List[str]			,    lowerCAmelCase_							:			T			,    lowerCAmelCase_							:			T	)      ->		None:
						# merge 2 disjoint sets
						self.link(self.find_set(a_	)			,    self.find_set(a_	)	)


class 						a__					(					Generic[T]   ):





			'''simple docstring'''

			def __init__(  self							:			Dict	)      ->		None:
						# connections: map from the node to the neighbouring nodes (with weights)
						__A=	{}
			def 					lowerCAmelCase     (  self							:			Any			,    lowerCAmelCase_							:			T	)      ->		None:
						# add a node ONLY if its not present in the graph
						if node not in self.connections:
									__A=	{}
			def 					lowerCAmelCase     (  self							:			Optional[Any]			,    lowerCAmelCase_							:			T			,    lowerCAmelCase_							:			T			,    lowerCAmelCase_							:			int	)      ->		None:
						# add an edge with the given weight
						self.add_node(a_	)
						self.add_node(a_	)
						__A=	weight
						__A=	weight

			def 					lowerCAmelCase     (  self							:			int	)      ->		GraphUndirectedWeighted[T]:
						__A=	[]
						__A=	set()
						for start in self.connections:
									for end in self.connections[start]:
												if (start, end) not in seen:
															seen.add((end, start)	)
															edges.append((start, end, self.connections[start][end])	)
						edges.sort(key=lambda lowerCAmelCase_	: x[2]	)

						# creating the disjoint set
						__A=	DisjointSetTree[T]()
						for node in self.connections:
									disjoint_set.make_set(a_	)

						# MST generation
						__A=	0
						__A=	0
						__A=	GraphUndirectedWeighted[T]()
						while num_edges < len(self.connections	) - 1:
									__A=	edges[index]
									index += 1
									__A=	disjoint_set.find_set(a_	)
									__A=	disjoint_set.find_set(a_	)
									if parent_u != parent_v:
												num_edges += 1
												graph.add_edge(a_			,    a_			,    a_	)
												disjoint_set.union(a_			,    a_	)
						return graph








'''simple docstring'''

import unittest

from knapsack import knapsack as k






class 						a_		(     unittest.TestCase    ):


							def    UpperCamelCase     (				self   :						str			)			->					List[Any]:
										snake_case:    Optional[Any]      							=0
										snake_case:    List[str]      							=[0]
										snake_case:    List[str]      							=[0]
										snake_case:    Union[str, Any]      							=len(a_			)
										self.assertEqual(k.knapsack(a_      ,						a_      ,						a_      ,						a_			)      ,						0			)

										snake_case:    Union[str, Any]      							=[6_0]
										snake_case:    str      							=[1_0]
										snake_case:    List[str]      							=len(a_			)
										self.assertEqual(k.knapsack(a_      ,						a_      ,						a_      ,						a_			)      ,						0			)


							def    UpperCamelCase     (				self   :						int			)			->					Optional[Any]:
										snake_case:    Optional[int]      							=3
										snake_case:    Dict      							=[1, 2, 3]
										snake_case:    List[Any]      							=[3, 2, 1]
										snake_case:    Tuple      							=len(a_			)
										self.assertEqual(k.knapsack(a_      ,						a_      ,						a_      ,						a_			)      ,						5			)




							def    UpperCamelCase     (				self   :						List[str]			)			->					str:
										snake_case:    Any      							=5_0
										snake_case:    str      							=[6_0, 1_0_0, 1_2_0]
										snake_case:    Any      							=[1_0, 2_0, 3_0]
										snake_case:    Tuple      							=len(a_			)
										self.assertEqual(k.knapsack(a_      ,						a_      ,						a_      ,						a_			)      ,						2_2_0			)


if __name__ == "__main__":
	unittest.main()




