



'''simple docstring'''

from __future__ import annotations

import math
import random






def 		_snake_case		(					_SCREAMING_SNAKE_CASE     :						int							,		_SCREAMING_SNAKE_CASE     :						int							,		_SCREAMING_SNAKE_CASE     :						int							)			->						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							,		_SCREAMING_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()




'''simple docstring'''

from __future__ import annotations






def 		_snake_case		(					_SCREAMING_SNAKE_CASE     :						list[int]							,		_SCREAMING_SNAKE_CASE     :						int							)			->						list[int]:







	"""simple docstring"""
	lowerCAmelCase    =	{}
	for index, val in enumerate(_SCREAMING_SNAKE_CASE							):
		lowerCAmelCase    =	target - val
		if compl in chk_map:
			return [chk_map[compl], index]
		lowerCAmelCase    =	index
	return []


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				print(F'''{two_sum([2, 7, 11, 15], 9) = }''')