






'''simple docstring'''





from __future__ import annotations

import math






def    lowerCamelCase_     (    lowercase__):

	if 1 < number < 4:
		# 2 and 3 are primes
		return True
	elif number < 2 or number % 2 == 0 or number % 3 == 0:
		# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
		return False

	# All primes number are in format of 6k +/- 1
	for i in range(5				,     int(math.sqrt(lowercase__) + 1)				,     6):
		if number % i == 0 or number % (i + 2) == 0:
			return False
	return True


__A							:							str  							=		[num for num in range(3, 10_00_01, 2) if not is_prime(num)]






def    lowerCamelCase_     (    lowercase__):
	if not isinstance(lowercase__				,     lowercase__):
		raise ValueError("n must be an integer")
	if n <= 0:
		raise ValueError("n must be >= 0")

	lowerCamelCase__  =     []
	for num in range(len(lowercase__)):
		lowerCamelCase__  =     0
		while 2 * i * i <= odd_composites[num]:
			lowerCamelCase__  =     odd_composites[num] - 2 * i * i
			if is_prime(lowercase__):
				break
			i += 1
		else:
			list_nums.append(odd_composites[num])
			if len(lowercase__) == n:
				return list_nums

	return []






def    lowerCamelCase_     (    ):
	return compute_nums(1)[0]


if __name__ == "__main__":
	print(F"""{solution() = }""")









'''simple docstring'''





from __future__ import annotations






def    lowerCamelCase_     (    lowercase__				,     lowercase__				,     lowercase__):
 lowerCamelCase__  =     list(range(len(lowercase__)))
 lowerCamelCase__  =     [v / w for v, w in zip(lowercase__				,     lowercase__)]
 index.sort(key=lambda lowercase__: ratio[i]				,     reverse=lowercase__)

 lowerCamelCase__  =     0
 lowerCamelCase__  =     [0] * len(lowercase__)
 for i in index:
  if weight[i] <= capacity:
   lowerCamelCase__  =     1
   max_value += value[i]
   capacity -= weight[i]
  else:
   lowerCamelCase__  =     capacity / weight[i]
   max_value += value[i] * capacity / weight[i]
   break

 return max_value, fractions


if __name__ == "__main__":
 import doctest

 doctest.testmod()

