

'''simple docstring'''



from __future__ import annotations







class 		lowerCAmelCase__     :



 """simple docstring"""



 def __init__(	self      : Any      ,							__SCREAMING_SNAKE_CASE      : str = 0    )						->				None:


      """simple docstring"""




      __SCREAMING_SNAKE_CASE						     =   value
      __SCREAMING_SNAKE_CASE						     =   None
      __SCREAMING_SNAKE_CASE						     =   None







def      a__ (						a__   ,					a__		)     ->   Optional[Any]:




     """simple docstring"""


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

     __SCREAMING_SNAKE_CASE						     =   treea.value + treea.value
     __SCREAMING_SNAKE_CASE						     =   merge_two_binary_trees(treea.left   ,					treea.left		)
     __SCREAMING_SNAKE_CASE						     =   merge_two_binary_trees(treea.right   ,					treea.right		)
     return treea







def      a__ (						a__		)     ->   List[str]:




     """simple docstring"""


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


if __name__ == "__main__":
  UpperCAmelCase				: str         =  Node(1)
  UpperCAmelCase				: Optional[Any]         =  Node(2)
  UpperCAmelCase				: Union[str, Any]         =  Node(3)
  UpperCAmelCase				: int         =  Node(4)

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

  print('Tree1 is: ')
  print_preorder(treea)
  print('Tree2 is: ')
  print_preorder(treea)
  UpperCAmelCase				: Optional[int]         =  merge_two_binary_trees(treea, treea)
  print('Merged Tree is: ')
  print_preorder(merged_tree)









'''simple docstring'''



from __future__ import annotations

from collections.abc import Callable







def      a__ (						a__   ,					a__   ,					a__   ,					a__ = 1_00   ,					):




     """simple docstring"""


     __SCREAMING_SNAKE_CASE						     =   x_start
     __SCREAMING_SNAKE_CASE						     =   fnc(a__		)
     __SCREAMING_SNAKE_CASE						     =   0.0

     for _ in range(a__		):
          # Approximates small segments of curve as linear and solve
          # for trapezoidal area
          __SCREAMING_SNAKE_CASE						     =   (x_end - x_start) / steps + xa
          __SCREAMING_SNAKE_CASE						     =   fnc(a__		)
          area += abs(fxa + fxa		) * (xa - xa) / 2

          # Increment step
          __SCREAMING_SNAKE_CASE						     =   xa
          __SCREAMING_SNAKE_CASE						     =   fxa
     return area


if __name__ == "__main__":







  def      a__ (						a__		):




       """simple docstring"""


       return x**3

  print('f(x) = x^3')
  print('The area between the curve, x = -10, x = 10 and the x axis is:')
  UpperCAmelCase				: Optional[Any]         =  1_0
  while i <= 1_0_0_0_0_0:
    UpperCAmelCase				: Union[str, Any]         =  trapezoidal_area(f, -5, 5, i)
    print(f"""with {i} steps: {area}""")
    i *= 1_0






