

from __future__ import annotations

class    a__  :
			"""simple docstring"""







			def __init__(      self , lowercase    )					->  Dict:
							'''simple docstring'''






							A__            =     value
							A__            =     None
							A__            =     None

class    a__  :
			"""simple docstring"""







			__lowerCamelCase	    =    42


			def __init__(      self    )					->  Any:
							'''simple docstring'''






							A__            =     0


			def        UpperCamelCase						(      self , lowercase , lowercase    )					->  int:
							'''simple docstring'''






							if node is None:
											return

							if path_sum == self.target:
											self.paths += 1

							if node.left:
											self.depth_first_search(node.left , path_sum + node.left.value    )
							if node.right:
											self.depth_first_search(node.right , path_sum + node.right.value    )


			def        UpperCamelCase						(      self , lowercase , lowercase = None    )					->  Union[str, Any]:
							'''simple docstring'''






							if node is None:
											return 0
							if target is not None:
											A__            =     target

							self.depth_first_search(_A , node.value    )
							self.path_sum(node.left    )
							self.path_sum(node.right    )

							return self.paths


if __name__ == "__main__":
	import doctest

	doctest.testmod()




import math



def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							int )     -> bool:




				'''simple docstring'''





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



def    lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							int = 2_0_0_0_0_0_0 )     -> int:




				'''simple docstring'''





				return sum(num for num in range(3		,    SCREAMING_SNAKE_CASE_		,    2 ) if is_prime(SCREAMING_SNAKE_CASE_ ) ) + 2 if n > 2 else 0


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

