
from __future__ import annotations

from collections.abc import Iterator







class 				lowercase		:




							def __init__(				self   ,A__):
												lowercase							=						value
												lowercase							=						None
												lowercase							=						None







class 				lowercase		:




							def __init__(				self   ,A__):
												lowercase							=						tree




							def  A__      (				self   ,A__):
												if node is None:
																	return 0
												return node.value + (
												    self.depth_first_search(node.left) + self.depth_first_search(node.right)
												)





							def __iter__(				self):
												yield self.depth_first_search(self.tree)


if __name__ == "__main__":
							import doctest

							doctest.testmod()






import random

from .binary_exp_mod import bin_exp_mod



def        UpperCamelCase    (							lowerCAmelCase__ ,			lowerCAmelCase__=1000		):
					'''simple docstring'''
					if n < 2:
										return False

					if n % 2 == 0:
										return n == 2

					# this means n is odd
					lowercase							=						n - 1
					lowercase							=						0
					while d % 2 == 0:
										d /= 2
										exp += 1

					# n - 1=d*(2**exp)
					lowercase							=						0
					while count < prec:
										lowercase							=						random.randint(2 ,			n - 1		)
										lowercase							=						bin_exp_mod(lowerCAmelCase__ ,			lowerCAmelCase__ ,			lowerCAmelCase__		)
										if b != 1:
															lowercase							=						True
															for _ in range(lowerCAmelCase__		):
																				if b == n - 1:
																									lowercase							=						False
																									break
																				lowercase							=						b * b
																				b %= n
															if flag:
																				return False
															count += 1
					return True


if __name__ == "__main__":
							lowercase__		:Tuple   =    abs(int(input("Enter bound : ").strip()))
							print("Here's the list of primes:")
							print(", ".join(str(i) for i in range(n + 1) if is_prime_big(i)))




