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from __future__ importannotations
classNode:
"""
A Node has data variable and pointers to Nodes to its left and right.
"""
def__init__(self, data: int) ->None:
self.data=data
self.left: Node|None=None
self.right: Node|None=None
defdisplay(tree: Node|None) ->None: # In Order traversal of the tree
"""
>>> root = Node(1)
>>> root.left = Node(0)
>>> root.right = Node(2)
>>> display(root)
0
1
2
>>> display(root.right)
2
"""
iftree:
display(tree.left)
print(tree.data)
display(tree.right)
defdepth_of_tree(tree: Node|None) ->int:
"""
Recursive function that returns the depth of a binary tree.
>>> root = Node(0)
>>> depth_of_tree(root)
1
>>> root.left = Node(0)
>>> depth_of_tree(root)
2
>>> root.right = Node(0)
>>> depth_of_tree(root)
2
>>> root.left.right = Node(0)
>>> depth_of_tree(root)
3
>>> depth_of_tree(root.left)
2
"""
return1+max(depth_of_tree(tree.left), depth_of_tree(tree.right)) iftreeelse0
defis_full_binary_tree(tree: Node) ->bool:
"""
Returns True if this is a full binary tree
>>> root = Node(0)
>>> is_full_binary_tree(root)
True
>>> root.left = Node(0)
>>> is_full_binary_tree(root)
False
>>> root.right = Node(0)
>>> is_full_binary_tree(root)
True
>>> root.left.left = Node(0)
>>> is_full_binary_tree(root)
False
>>> root.right.right = Node(0)
>>> is_full_binary_tree(root)
False
"""
ifnottree:
returnTrue
iftree.leftandtree.right:
returnis_full_binary_tree(tree.left) andis_full_binary_tree(tree.right)
else:
returnnottree.leftandnottree.right
defmain() ->None: # Main function 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()