





'''simple docstring'''

from __future__ import annotations





class lowerCamelCase    :







  def __init__(		self  ,  lowercase__ = 0		)		->    None:






        """simple docstring"""





        _snake_case		:						Union[str, Any]         =  value
        _snake_case		:						Node | None         =  None
        _snake_case		:						Node | None         =  None




def  _a     (				lowerCAmelCase_      ,   lowerCAmelCase_						):





      """simple docstring"""



      if treea is None:
            return treea
      if treea is None:
            return treea

      _snake_case		:						Union[str, Any]         =  treea.value + treea.value
      _snake_case		:						Optional[Any]         =  merge_two_binary_trees(treea.left      ,   treea.left						)
      _snake_case		:						Optional[Any]         =  merge_two_binary_trees(treea.right      ,   treea.right						)
      return treea




def  _a     (				lowerCAmelCase_						):





      """simple docstring"""



      if root:
            print(root.value						)
            print_preorder(root.left						)
            print_preorder(root.right						)


if __name__ == "__main__":
   UpperCAmelCase       :		Dict		=				Node(1)
   UpperCAmelCase       :		int		=				Node(2)
   UpperCAmelCase       :		Dict		=				Node(3)
   UpperCAmelCase       :		List[Any]		=				Node(4)

   UpperCAmelCase       :		Dict		=				Node(2)
   UpperCAmelCase       :		List[str]		=				Node(4)
   UpperCAmelCase       :		Optional[Any]		=				Node(6)
   UpperCAmelCase       :		Any		=				Node(9)
   UpperCAmelCase       :		int		=				Node(5)

   print('Tree1 is: ')
   print_preorder(treea)
   print('Tree2 is: ')
   print_preorder(treea)
   UpperCAmelCase       :		Tuple		=				merge_two_binary_trees(treea, treea)
   print('Merged Tree is: ')
   print_preorder(merged_tree)









'''simple docstring'''

import math




def  _a     (				lowerCAmelCase_						):





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




def  _a     (				lowerCAmelCase_ = 2_000_000						):





      """simple docstring"""



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


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


