

"""simple docstring"""


from __future__ import annotations





class     snake_case	:

				def __init__(	self							:				Dict     ,  UpperCamelCase__							:				int)->   None:



						'''simple docstring'''


						__lowerCAmelCase:       Dict          =			data
						__lowerCAmelCase:       Node | None          =			None
						__lowerCAmelCase:       Node | None          =			None






def     a__    (    __SCREAMING_SNAKE_CASE )	->	None:  # In Order traversal of the tree
		if tree:
				display(tree.left )
				print(tree.data )
				display(tree.right )






def     a__    (    __SCREAMING_SNAKE_CASE )	->	int:
		return 1 + max(depth_of_tree(tree.left )					, depth_of_tree(tree.right ) ) if tree else 0






def     a__    (    __SCREAMING_SNAKE_CASE )	->	bool:
		if not tree:
				return True
		if tree.left and tree.right:
				return is_full_binary_tree(tree.left ) and is_full_binary_tree(tree.right )
		else:
				return not tree.left and not tree.right






def     a__    (    )	->	None:  # Main function for testing.
		__lowerCAmelCase:       Any          =			Node(1 )
		__lowerCAmelCase:       int          =			Node(2 )
		__lowerCAmelCase:       Any          =			Node(3 )
		__lowerCAmelCase:       Tuple          =			Node(4 )
		__lowerCAmelCase:       Any          =			Node(5 )
		__lowerCAmelCase:       List[str]          =			Node(6 )
		__lowerCAmelCase:       str          =			Node(7 )
		__lowerCAmelCase:       List[str]          =			Node(8 )
		__lowerCAmelCase:       List[Any]          =			Node(9 )

		print(is_full_binary_tree(__SCREAMING_SNAKE_CASE ) )
		print(depth_of_tree(__SCREAMING_SNAKE_CASE ) )
		print("Tree is: " )
		display(__SCREAMING_SNAKE_CASE )


if __name__ == "__main__":
			main()





"""simple docstring"""


from numpy import exp, pi, sqrt






def     a__    (    __SCREAMING_SNAKE_CASE					, __SCREAMING_SNAKE_CASE = 0.0					, __SCREAMING_SNAKE_CASE = 1.0 )	->	int:
		return 1 / sqrt(2 * pi * sigma**2 ) * exp(-((x - mu) ** 2) / (2 * sigma**2) )


if __name__ == "__main__":
			import doctest

			doctest.testmod()


