

class      lowerCamelCase_ :




 def __init__(			self  ,  _UpperCAmelCase							):
   __UpperCAmelCase	:  Any		=     data
   __UpperCAmelCase	:  BinaryTreeNode | None		=     None
   __UpperCAmelCase	:  BinaryTreeNode | None		=     None





def  _snake_case		(snake_case_					:     BinaryTreeNode | None    ,       snake_case_					:     int  )							->		BinaryTreeNode | None:
  if node is None:
    __UpperCAmelCase	:  List[Any]		=     BinaryTreeNode(snake_case_  )
    return node

  # binary search tree is not empty,
  # so we will insert it into the tree
  # if new_value is less than value of data in node,
  #  add it to left subtree and proceed recursively
  if new_value < node.data:
    __UpperCAmelCase	:  Union[str, Any]		=     insert(node.left_child    ,       snake_case_  )
  else:
    # if new_value is greater than value of data in node,
    #  add it to right subtree and proceed recursively
    __UpperCAmelCase	:  Tuple		=     insert(node.right_child    ,       snake_case_  )
  return node





def  _snake_case		(snake_case_					:     None | BinaryTreeNode  )							->		list[int]:  # if node is None,return
  if node:
    __UpperCAmelCase	:  str		=     inorder(node.left_child  )
    __UpperCAmelCase	:  Optional[int]		=     [*inorder_array, node.data]
    __UpperCAmelCase	:  str		=     inorder_array + inorder(node.right_child  )
  else:
    __UpperCAmelCase	:  Union[str, Any]		=     []
  return inorder_array





def  _snake_case		()							->		BinaryTreeNode | None:
  __UpperCAmelCase	:  Tuple		=     insert(snake_case_    ,       15  )
  insert(snake_case_    ,       10  )
  insert(snake_case_    ,       25  )
  insert(snake_case_    ,       6  )
  insert(snake_case_    ,       14  )
  insert(snake_case_    ,       20  )
  insert(snake_case_    ,       60  )
  return root





def  _snake_case		()							->		None:
  # main function
  __UpperCAmelCase	:  Any		=     make_tree()
  print('Printing values of binary search tree in Inorder Traversal.'  )
  inorder(snake_case_  )


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      main()








from __future__ import annotations





def  _snake_case		(snake_case_					:     int  )							->		int | None:
  for r in range(1    ,       snake_case_  ):
    __UpperCAmelCase	:  List[str]		=     []
    for x in range(n - 1  ):
      __UpperCAmelCase	:  Union[str, Any]		=     pow(snake_case_    ,       snake_case_    ,       snake_case_  )
      if val in li:
        break
      li.append(snake_case_  )
    else:
      return r
  return None


if __name__ == "__main__":
      _SCREAMING_SNAKE_CASE							 =			int(input('''Enter a prime number q: '''))
      _SCREAMING_SNAKE_CASE							 =			find_primitive(q)
      if a is None:
            print(F'''Cannot find the primitive for the value: {a!r}''')
      else:
            _SCREAMING_SNAKE_CASE							 =			int(input('''Enter private key of A: '''))
            _SCREAMING_SNAKE_CASE							 =			pow(a, a_private, q)
            _SCREAMING_SNAKE_CASE							 =			int(input('''Enter private key of B: '''))
            _SCREAMING_SNAKE_CASE							 =			pow(a, b_private, q)

            _SCREAMING_SNAKE_CASE							 =			pow(b_public, a_private, q)
            _SCREAMING_SNAKE_CASE							 =			pow(a_public, b_private, q)

            print('''The key value generated by A is: ''', a_secret)
            print('''The key value generated by B is: ''', b_secret)





