





from __future__ import annotations

from typing import Any

class       __A     :


				def __init__(		self   , UpperCAmelCase_ = 6							):
								lowerCamelCase	 =None
								lowerCamelCase	 =None
								self.create_linked_list(UpperCAmelCase_							)


				def _snake_case       (		self   , UpperCAmelCase_							):
								lowerCamelCase	 =Node()
								lowerCamelCase	 =current_node
								lowerCamelCase	 =current_node
								lowerCamelCase	 =current_node
								for _ in range(1   , UpperCAmelCase_							):
												lowerCamelCase	 =Node()
												lowerCamelCase	 =current_node
												lowerCamelCase	 =previous_node
												lowerCamelCase	 =current_node
								lowerCamelCase	 =self.front
								lowerCamelCase	 =previous_node


				def _snake_case       (		self							):
								return (
								    self.front == self.rear
								    and self.front is not None
								    and self.front.data is None
								)


				def _snake_case       (		self							):
								self.check_can_perform_operation()
								return self.front.data if self.front else None


				def _snake_case       (		self   , UpperCAmelCase_							):
								if self.rear is None:
												return

								self.check_is_full()
								if not self.is_empty():
												lowerCamelCase	 =self.rear.next
								if self.rear:
												lowerCamelCase	 =data


				def _snake_case       (		self							):
								self.check_can_perform_operation()
								if self.rear is None or self.front is None:
												return None
								if self.front == self.rear:
												lowerCamelCase	 =self.front.data
												lowerCamelCase	 =None
												return data

								lowerCamelCase	 =self.front
								lowerCamelCase	 =old_front.next
								lowerCamelCase	 =old_front.data
								lowerCamelCase	 =None
								return data


				def _snake_case       (		self							):
								if self.is_empty():
												raise Exception("""Empty Queue"""							)


				def _snake_case       (		self							):
								if self.rear and self.rear.next == self.front:
												raise Exception("""Full Queue"""							)




class       __A     :


				def __init__(		self							):
								lowerCamelCase	 =None
								lowerCamelCase	 =None
								lowerCamelCase	 =None


if __name__ == "__main__":
							import doctest

							doctest.testmod()












import math
from collections.abc import Iterator
from itertools import takewhile





def      _lowercase					(						_UpperCAmelCase				)						->  bool:

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





def      _lowercase					(						)						->  Iterator[int]:
				lowerCamelCase	 =2
				while True:
								if is_prime(_UpperCAmelCase				):
												yield num
								num += 1





def      _lowercase					(						_UpperCAmelCase = 2_00_00_00				)						->  int:
				return sum(takewhile(lambda _UpperCAmelCase				: x < n			,      prime_generator()				)				)


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





