





class  __A   :

			'''simple docstring'''







			def __init__(   self	,  __lowerCAmelCase							):



				'''simple docstring'''







				lowerCamelCase__        =		data
				lowerCamelCase__        =		42
				lowerCamelCase__        =		42





def lowerCAmelCase__(__snake_case							)    ->				None:







	'''simple docstring'''







	lowerCamelCase__        =		0
	lowerCamelCase__        =		x





def lowerCAmelCase__(__snake_case	,__snake_case							)    ->				None:







	'''simple docstring'''







	lowerCamelCase__    ,     lowerCamelCase__        =		find_set(__snake_case							), find_set(__snake_case							)
	if x == y:
		return

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





def lowerCAmelCase__(__snake_case							)    ->				Node:







	'''simple docstring'''







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





def lowerCAmelCase__(__snake_case							)    ->				set:







	'''simple docstring'''







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





def lowerCAmelCase__()    ->				None:







	'''simple docstring'''







	lowerCamelCase__        =		[Node(__snake_case							) for i in range(6							)]
	for v in vertex:
		make_set(__snake_case							)

	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(__snake_case							).isdisjoint(find_python_set(__snake_case							)							):
				assert find_set(__snake_case							) != find_set(__snake_case							)
			else:
				assert find_set(__snake_case							) == find_set(__snake_case							)


if __name__ == "__main__":
			test_disjoint_set()










from __future__ import annotations

import math
import random





def lowerCAmelCase__(__snake_case	,__snake_case	,__snake_case							)    ->				list[int]:







	'''simple docstring'''







	lowerCamelCase__        =		d * e - 1
	lowerCamelCase__        =		0
	lowerCamelCase__        =		0
	while p == 0:
		lowerCamelCase__        =		random.randint(2	,n - 1							)
		lowerCamelCase__        =		k
		while True:
			if t % 2 == 0:
				lowerCamelCase__        =		t // 2
				lowerCamelCase__        =		(g**t) % n
				lowerCamelCase__        =		math.gcd(x - 1	,__snake_case							)
				if x > 1 and y > 1:
					lowerCamelCase__        =		y
					lowerCamelCase__        =		n // y
					break  # find the correct factors
			else:
				break  # t is not divisible by 2, break and choose another g
	return sorted([p, q]							)


if __name__ == "__main__":
			import doctest

			doctest.testmod()



