





def lowerCAmelCase__(__snake_case	,__snake_case							)    ->				Dict:







	'''simple docstring'''







	if n < 0:
		return 0
	# table[i] represents the number of ways to get to amount i
	lowerCamelCase__        =		[0] * (n + 1)

	# There is exactly 1 way to get to zero(You pick no coins).
	lowerCamelCase__        =		1

	# Pick all coins one by one and update table[] values
	# after the index greater than or equal to the value of the
	# picked coin
	for coin_val in s:
		for j in range(__snake_case	,n + 1							):
			table[j] += table[j - coin_val]

	return table[n]


if __name__ == "__main__":
			import doctest

			doctest.testmod()










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()



