



class      __lowerCAmelCase       :



			def __init__(		self  :    int					,						A  :    int)  ->       None:



						"""simple docstring"""






						_UpperCAmelCase									=  data
						_UpperCAmelCase									=  None
						_UpperCAmelCase									=  None





def 				A      (	_UpperCAmelCase							:  BinaryTreeNode | None				,  _UpperCAmelCase							:  int       )							->					BinaryTreeNode | None:







			'''simple docstring'''
			if node is None:
						_UpperCAmelCase									=  BinaryTreeNode(_UpperCAmelCase       )
						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									=  insert(node.left_child				,  _UpperCAmelCase       )
			else:
						# if new_value is greater than value of data in node,
						#  add it to right subtree and proceed recursively
						_UpperCAmelCase									=  insert(node.right_child				,  _UpperCAmelCase       )
			return node





def 				A      (	_UpperCAmelCase							:  None | BinaryTreeNode       )							->					list[int]:  # if node is None,return







			'''simple docstring'''
			if node:
						_UpperCAmelCase									=  inorder(node.left_child       )
						_UpperCAmelCase									=  [*inorder_array, node.data]
						_UpperCAmelCase									=  inorder_array + inorder(node.right_child       )
			else:
						_UpperCAmelCase									=  []
			return inorder_array





def 				A      (	)							->					BinaryTreeNode | None:







			'''simple docstring'''
			_UpperCAmelCase									=  insert(_UpperCAmelCase				,  15       )
			insert(_UpperCAmelCase				,  10       )
			insert(_UpperCAmelCase				,  25       )
			insert(_UpperCAmelCase				,  6       )
			insert(_UpperCAmelCase				,  14       )
			insert(_UpperCAmelCase				,  20       )
			insert(_UpperCAmelCase				,  60       )
			return root





def 				A      (	)							->					None:







			'''simple docstring'''
			# main function
			_UpperCAmelCase									=  make_tree()
			print('Printing values of binary search tree in Inorder Traversal.'       )
			inorder(_UpperCAmelCase       )


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							main()





import math





def 				A      (	_UpperCAmelCase							:  int       )							->					int:







			'''simple docstring'''
			return sum(int(_UpperCAmelCase       ) for digit in str(_UpperCAmelCase       )       )





def 				A      (	_UpperCAmelCase							:  int = 30       )							->					int:







			'''simple docstring'''
			_UpperCAmelCase									=  []
			for digit in range(2				,  100       ):
						for power in range(2				,  100       ):
									_UpperCAmelCase									=  int(math.pow(_UpperCAmelCase				,  _UpperCAmelCase       )       )
									if digit == digit_sum(_UpperCAmelCase       ):
												digit_to_powers.append(_UpperCAmelCase       )

			digit_to_powers.sort()
			return digit_to_powers[n - 1]


if __name__ == "__main__":
							print(solution())
