This notebook was prepared by Donne Martin. Source and license info is on GitHub.

Challenge Notebook

Problem: Determine the height of a tree.

Constraints

  • Is this a binary tree?
    • Yes
  • Can we assume we already have a Node class with an insert method?
    • Yes
  • Can we assume this fits memory?
    • Yes

Test Cases

  • 5 -> 1
  • 5, 2, 8, 1, 3 -> 3

Algorithm

Refer to the Solution Notebook. If you are stuck and need a hint, the solution notebook's algorithm discussion might be a good place to start.

Code

In [ ]:
%run ../bst/bst.py
%load ../bst/bst.py
In [ ]:
class BstHeight(Bst):

    def height(self, node):
        # TODO: Implement me
        pass

Unit Test

The following unit test is expected to fail until you solve the challenge.

In [ ]:
# %load test_height.py
import unittest


class TestHeight(unittest.TestCase):

    def test_height(self):
        bst = BstHeight(Node(5))
        self.assertEqual(bst.height(bst.root), 1)
        bst.insert(2)
        bst.insert(8)
        bst.insert(1)
        bst.insert(3)
        self.assertEqual(bst.height(bst.root), 3)

        print('Success: test_height')


def main():
    test = TestHeight()
    test.test_height()


if __name__ == '__main__':
    main()

Solution Notebook

Review the Solution Notebook for a discussion on algorithms and code solutions.