#!/usr/bin/env python # coding: utf-8 # This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges). # # Challenge Notebook # ## Problem: Check if a binary tree is balanced. # # * [Constraints](#Constraints) # * [Test Cases](#Test-Cases) # * [Algorithm](#Algorithm) # * [Code](#Code) # * [Unit Test](#Unit-Test) # * [Solution Notebook](#Solution-Notebook) # ## Constraints # # * Is a balanced tree one where the heights of two sub trees of any node doesn't differ by more than 1? # * Yes # * If this is called on a None input, should we raise an exception? # * Yes # * Can we assume we already have a Node class with an insert method? # * Yes # * Can we assume this fits memory? # * Yes # ## Test Cases # # * None -> No # * 1 -> Yes # * 5, 3, 8, 1, 4 -> Yes # * 5, 3, 8, 9, 10 -> No # ## Algorithm # # Refer to the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/check_balance/check_balance_solution.ipynb). If you are stuck and need a hint, the solution notebook's algorithm discussion might be a good place to start. # ## Code # In[ ]: get_ipython().run_line_magic('run', '../bst/bst.py') get_ipython().run_line_magic('load', '../bst/bst.py') # In[ ]: class BstBalance(Bst): def check_balance(self): # TODO: Implement me pass # ## Unit Test # **The following unit test is expected to fail until you solve the challenge.** # In[ ]: # %load test_check_balance.py import unittest class TestCheckBalance(unittest.TestCase): def test_check_balance_empty(self): bst = BstBalance(None) bst.check_balance() def test_check_balance(self): bst = BstBalance(Node(5)) self.assertEqual(bst.check_balance(), True) bst.insert(3) bst.insert(8) bst.insert(1) bst.insert(4) self.assertEqual(bst.check_balance(), True) bst = BstBalance(Node(5)) bst.insert(3) bst.insert(8) bst.insert(9) bst.insert(10) self.assertEqual(bst.check_balance(), False) bst = BstBalance(Node(3)) bst.insert(2) bst.insert(1) bst.insert(5) bst.insert(4) bst.insert(6) bst.insert(7) self.assertEqual(bst.check_balance(), True) print('Success: test_check_balance') def main(): test = TestCheckBalance() test.assertRaises(TypeError, test.test_check_balance_empty) test.test_check_balance() if __name__ == '__main__': main() # ## Solution Notebook # # Review the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/check_balance/check_balance_solution.ipynb) for a discussion on algorithms and code solutions.