
def   lowerCAmelCase_						(					_snake_case      :  int      ,   _snake_case      :  list[int]      ,   _snake_case      :  int   )				->		int:







	'''simple docstring'''


	def count_of_possible_combinations(_snake_case      :  int   ) -> int:
		if target < 0:
			return 0
		if target == 0:
			return 1
		return sum(count_of_possible_combinations(target - item   ) for item in array   )

	return count_of_possible_combinations(_snake_case   )






def   lowerCAmelCase_						(					_snake_case      :  int      ,   _snake_case      :  list[int]      ,   _snake_case      :  int   )				->		int:







	'''simple docstring'''


	def count_of_possible_combinations_with_dp_array(
	    _snake_case      :  int      ,   _snake_case      :  list[int]   ) -> int:
		if target < 0:
			return 0
		if target == 0:
			return 1
		if dp_array[target] != -1:
			return dp_array[target]
		__magic_name__		:		Union[str, Any]	   =     sum(
		    count_of_possible_combinations_with_dp_array(target - item      ,   _snake_case   )
		    for item in array   )
		__magic_name__		:		List[str]	   =     answer
		return answer

	__magic_name__		:		List[str]	   =     [-1] * (target + 1)
	return count_of_possible_combinations_with_dp_array(_snake_case      ,   _snake_case   )






def   lowerCAmelCase_						(					_snake_case      :  int      ,   _snake_case      :  list[int]      ,   _snake_case      :  int   )				->		int:







	'''simple docstring'''


	__magic_name__		:		str	   =     [0] * (target + 1)
	__magic_name__		:		Any	   =     1

	for i in range(1      ,   target + 1   ):
		for j in range(_snake_case   ):
			if i - array[j] >= 0:
				dp_array[i] += dp_array[i - array[j]]

	return dp_array[target]


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				snake_case :		List[str]							      =  3
				snake_case :		List[Any]							      =  5
				snake_case :		Any							      =  [1, 2, 5]
				print(combination_sum_iv(n, array, target))


from __future__ import annotations





class       _snake_case					:







			def __init__(				self						,   _a		):
				__magic_name__		:		Optional[Any]	   =     data
				__magic_name__		:		Node | None	   =     None
				__magic_name__		:		Node | None	   =     None







def   lowerCAmelCase_						(					_snake_case      :  Node | None   )				->		None:  # In Order traversal of the tree







	'''simple docstring'''


	if tree:
		display(tree.left   )
		print(tree.data   )
		display(tree.right   )






def   lowerCAmelCase_						(					_snake_case      :  Node | None   )				->		int:







	'''simple docstring'''


	return 1 + max(depth_of_tree(tree.left   )      ,   depth_of_tree(tree.right   )   ) if tree else 0






def   lowerCAmelCase_						(					_snake_case      :  Node   )				->		bool:







	'''simple docstring'''


	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   lowerCAmelCase_						(					)				->		None:  # Main function for testing.







	'''simple docstring'''


	__magic_name__		:		int	   =     Node(1   )
	__magic_name__		:		Union[str, Any]	   =     Node(2   )
	__magic_name__		:		Tuple	   =     Node(3   )
	__magic_name__		:		Optional[Any]	   =     Node(4   )
	__magic_name__		:		Union[str, Any]	   =     Node(5   )
	__magic_name__		:		Any	   =     Node(6   )
	__magic_name__		:		int	   =     Node(7   )
	__magic_name__		:		List[str]	   =     Node(8   )
	__magic_name__		:		Union[str, Any]	   =     Node(9   )

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


if __name__ == "__main__":
				main()
