

class 					__UpperCamelCase					:







	def __init__( self:			Optional[Any]	,			__UpperCamelCase:			int   ):

						'''simple docstring'''





						__magic_name__				=     data
						__magic_name__				=     42
						__magic_name__				=     42




def        _lowercase  (					a_					:       Node					)					->						None:




					'''simple docstring'''







					__magic_name__				=     0
					__magic_name__				=     x




def        _lowercase  (					a_					:       Node       ,a_					:       Node					)					->						None:




					'''simple docstring'''







					__magic_name__,						__magic_name__				=     find_set(a_					), find_set(a_					)
					if x == y:
										return

					elif x.rank > y.rank:
										__magic_name__				=     x
					else:
										__magic_name__				=     y
										if x.rank == y.rank:
															y.rank += 1




def        _lowercase  (					a_					:       Node					)					->						Node:




					'''simple docstring'''







					if x != x.parent:
										__magic_name__				=     find_set(x.parent					)
					return x.parent




def        _lowercase  (					a_					:       Node					)					->						set:




					'''simple docstring'''







					__magic_name__				=     ({0, 1, 2}, {3, 4, 5})
					for s in sets:
										if node.data in s:
															return s
					__magic_name__				=     F'{node.data} is not in {sets}'
					raise ValueError(a_					)




def        _lowercase  (					)					->						None:




					'''simple docstring'''







					__magic_name__				=     [Node(a_					) for i in range(6					)]
					for v in vertex:
										make_set(a_					)

					union_set(vertex[0]       ,vertex[1]					)
					union_set(vertex[1]       ,vertex[2]					)
					union_set(vertex[3]       ,vertex[4]					)
					union_set(vertex[3]       ,vertex[5]					)

					for nodea in vertex:
										for nodea in vertex:
															if find_python_set(a_					).isdisjoint(find_python_set(a_					)					):
																				assert find_set(a_					) != find_set(a_					)
															else:
																				assert find_set(a_					) == find_set(a_					)


if __name__ == "__main__":
						test_disjoint_set()







from __future__ import annotations

from collections.abc import Iterator
from typing import Any

class 					__UpperCamelCase					:







	def __init__( self:			Optional[Any]	,			__UpperCamelCase:			Any   ):

						'''simple docstring'''





						__magic_name__				=     data
						__magic_name__				=     None







	def __str__( self:			Optional[int]   ):

						'''simple docstring'''





						return F'{self.data}'




class 					__UpperCamelCase					:







	def __init__( self:			List[Any]   ):

						'''simple docstring'''





						__magic_name__				=     None
						__magic_name__				=     None







	def __iter__( self:			str   ):

						'''simple docstring'''





						__magic_name__				=     self.front
						while node:
											yield node.data
											__magic_name__				=     node.next







	def __len__( self:			Any   ):

						'''simple docstring'''





						return len(tuple(iter(self   )   )   )







	def __str__( self:			List[str]   ):

						'''simple docstring'''





						return " <- ".join(str(__UpperCamelCase   ) for item in self   )







	def 						_SCREAMING_SNAKE_CASE				( self:			Any   ):

						'''simple docstring'''





						return len(self   ) == 0







	def 						_SCREAMING_SNAKE_CASE				( self:			Any	,			__UpperCamelCase:			Any   ):

						'''simple docstring'''





						__magic_name__				=     Node(__UpperCamelCase   )
						if self.is_empty():
											__magic_name__				=     __magic_name__				=     node
						else:
											assert isinstance(self.rear	,			__UpperCamelCase   )
											__magic_name__				=     node
											__magic_name__				=     node







	def 						_SCREAMING_SNAKE_CASE				( self:			Any   ):

						'''simple docstring'''





						if self.is_empty():
											raise IndexError('dequeue from empty queue'   )
						assert isinstance(self.front	,			__UpperCamelCase   )
						__magic_name__				=     self.front
						__magic_name__				=     self.front.next
						if self.front is None:
											__magic_name__				=     None
						return node.data







	def 						_SCREAMING_SNAKE_CASE				( self:			Tuple   ):

						'''simple docstring'''





						__magic_name__				=     __magic_name__				=     None


if __name__ == "__main__":
						from doctest import testmod

						testmod()




