






"""simple docstring"""
from __future__ import annotations

import math






def 			__UpperCamelCase	(		snake_case__					):

	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(snake_case__					) + 1					)   ,   6					):
		if number % i == 0 or number % (i + 2) == 0:
			return False
	return True






def 			__UpperCamelCase	(		snake_case__					):
	A_		:						Union[str, Any]	    =   str(snake_case__					)
	A_		:						Any	    =   [n]
	for i in range(1   ,   len(snake_case__					)					):
		list_nums.append(int(str_num[i:]					)					)
		list_nums.append(int(str_num[:-i]					)					)
	return list_nums






def 			__UpperCamelCase	(		snake_case__					):
	if len(str(snake_case__					)					) > 3:
		if not is_prime(int(str(snake_case__					)[-3:]					)					) or not is_prime(int(str(snake_case__					)[:3]					)					):
			return False
	return True






def 			__UpperCamelCase	(		snake_case__ = 11					):
	A_		:						list[int]	    =   []
	A_		:						str	    =   13
	while len(snake_case__					) != count:
		if validate(snake_case__					):
			A_		:						List[str]	    =   list_truncated_nums(snake_case__					)
			if all(is_prime(snake_case__					) for i in list_nums					):
				list_truncated_primes.append(snake_case__					)
		num += 2
	return list_truncated_primes






def 			__UpperCamelCase	(		):
	return sum(compute_truncated_primes(11					)					)


if __name__ == "__main__":
							print(F'{sum(compute_truncated_primes(11)) = }')









"""simple docstring"""
import math






def 			__UpperCamelCase	(		snake_case__   ,   snake_case__					):
	if (
	    not isinstance(snake_case__   ,   (int, float)					)
	    or power_factor < -1
	    or power_factor > 1
	):
		raise ValueError("""power_factor must be a valid float value between -1 and 1."""					)
	return apparent_power * power_factor






def 			__UpperCamelCase	(		snake_case__   ,   snake_case__					):
	if (
	    not isinstance(snake_case__   ,   (int, float)					)
	    or power_factor < -1
	    or power_factor > 1
	):
		raise ValueError("""power_factor must be a valid float value between -1 and 1."""					)
	return apparent_power * math.sqrt(1 - power_factor**2					)


if __name__ == "__main__":
							import doctest

							doctest.testmod()

