class Node: # This is the Class Node with constructor that contains data variable to type data and left,right pointers.
    def __init__(self, data):
        self.data = data
        self.left = None
        self.right = None

def display(tree): #In Order traversal of the tree

    if tree is None: 
        return

    if tree.left is not None:
        display(tree.left)

    print(tree.data)

    if tree.right is not None:
        display(tree.right)

    return

def depth_of_tree(tree): #This is the recursive function to find the depth of binary tree.
    if tree is None:
        return 0
    else:
        depth_l_tree = depth_of_tree(tree.left)
        depth_r_tree = depth_of_tree(tree.right)
        if depth_l_tree > depth_r_tree:
            return 1 + depth_l_tree
        else:
            return 1 + depth_r_tree


def is_full_binary_tree(tree): # This functions returns that is it full binary tree or not?
    if tree is None:
        return True
    if (tree.left is None) and (tree.right is None):
        return True
    if (tree.left is not None) and (tree.right is not None):
        return (is_full_binary_tree(tree.left) and is_full_binary_tree(tree.right))
    else:
        return False


def main(): # Main func for testing.
    tree = Node(1)
    tree.left = Node(2)
    tree.right = Node(3)
    tree.left.left = Node(4)
    tree.left.right = Node(5)
    tree.left.right.left = Node(6)
    tree.right.left = Node(7)
    tree.right.left.left = Node(8)
    tree.right.left.left.right = Node(9)

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


if __name__ == '__main__':
    main()