





import math
from collections.abc import Generator


def 				SCREAMING_SNAKE_CASE__    (     __a ):
	snake_case_		:      Generator           =						(i for i in range(1 ,			(max_n + 1) ))
	for i in (n for n in numbers if n > 1):
		for j in range(2 ,			__a ):
			if (i % j) == 0:
				break
		else:
			yield i


def 				SCREAMING_SNAKE_CASE__    (     __a ):
	snake_case_		:      Generator           =						(i for i in range(1 ,			(max_n + 1) ))
	for i in (n for n in numbers if n > 1):
		# only need to check for factors up to sqrt(i)
		snake_case_		:      Union[str, Any]           =						int(math.sqrt(__a ) ) + 1
		for j in range(2 ,			__a ):
			if (i % j) == 0:
				break
		else:
			yield i


def 				SCREAMING_SNAKE_CASE__    (     __a ):
	snake_case_		:      Generator           =						(i for i in range(1 ,			(max_n + 1) ,			2 ))
	# It's useless to test even numbers as they will not be prime
	if max_n > 2:
		yield 2  # Because 2 will not be tested, it's necessary to yield it now
	for i in (n for n in numbers if n > 1):
		snake_case_		:      int           =						int(math.sqrt(__a ) ) + 1
		for j in range(3 ,			__a ,			2 ):
			# As we removed the even numbers, we don't need them now
			if (i % j) == 0:
				break
		else:
			yield i


def 				SCREAMING_SNAKE_CASE__    (     ):
	from timeit import timeit

	snake_case_		:      str           =						'from __main__ import slow_primes, primes, fast_primes'
	print(timeit('slow_primes(1_000_000_000_000)' ,			setup=__a ,			number=1_00_00_00 ) )
	print(timeit('primes(1_000_000_000_000)' ,			setup=__a ,			number=1_00_00_00 ) )
	print(timeit('fast_primes(1_000_000_000_000)' ,			setup=__a ,			number=1_00_00_00 ) )


if __name__ == "__main__":
						_SCREAMING_SNAKE_CASE   						=		int(input("""Calculate primes up to:\n>> """).strip())
						for ret in primes(number):
												print(ret)
						benchmark()








def 				SCREAMING_SNAKE_CASE__    (     __a ,			__a ):
	if not root or root not in binary_tree_mirror_dictionary:
		return
	snake_case_    ,snake_case_		:      Tuple           =						binary_tree_mirror_dictionary[root][:2]
	snake_case_		:      List[str]           =						[right_child, left_child]
	binary_tree_mirror_dict(__a ,			__a )
	binary_tree_mirror_dict(__a ,			__a )


def 				SCREAMING_SNAKE_CASE__    (     __a ,			__a = 1 ):
	if not binary_tree:
		raise ValueError('binary tree cannot be empty' )
	if root not in binary_tree:
		snake_case_		:      Dict           =						f"""root {root} is not present in the binary_tree"""
		raise ValueError(__a )
	snake_case_		:      Any           =						dict(__a )
	binary_tree_mirror_dict(__a ,			__a )
	return binary_tree_mirror_dictionary


if __name__ == "__main__":
						_SCREAMING_SNAKE_CASE   						=		{1: [2, 3], 2: [4, 5], 3: [6, 7], 7: [8, 9]}
						print(F'''Binary tree: {binary_tree}''')
						_SCREAMING_SNAKE_CASE   						=		binary_tree_mirror(binary_tree, 5)
						print(F'''Binary tree mirror: {binary_tree_mirror_dictionary}''')

