#!/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: Implement depth-first traversals (in-order, pre-order, post-order) on a binary tree. # # * [Constraints](#Constraints) # * [Test Cases](#Test-Cases) # * [Algorithm](#Algorithm) # * [Code](#Code) # * [Unit Test](#Unit-Test) # ## Constraints # # * Can we assume we already have a Node class with an insert method? # * Yes # * What should we do with each node when we process it? # * Call an input method `visit_func` on the node # * Can we assume this fits in memory? # * Yes # ## Test Cases # # ### In-Order Traversal # # * 5, 2, 8, 1, 3 -> 1, 2, 3, 5, 8 # * 1, 2, 3, 4, 5 -> 1, 2, 3, 4, 5 # # ### Pre-Order Traversal # # * 5, 2, 8, 1, 3 -> 5, 2, 1, 3, 8 # * 1, 2, 3, 4, 5 -> 1, 2, 3, 4, 5 # # ### Post-Order Traversal # # * 5, 2, 8, 1, 3 -> 1, 3, 2, 8, 5 # * 1, 2, 3, 4, 5 -> 5, 4, 3, 2, 1 # ## Algorithm # # Refer to the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/tree_dfs/dfs_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 BstDfs(Bst): def in_order_traversal(self, node, visit_func): # TODO: Implement me pass def pre_order_traversal(self, node, visit_func): # TODO: Implement me pass def post_order_traversal(self,node, visit_func): # TODO: Implement me pass # ## Unit Test # In[ ]: get_ipython().run_line_magic('run', '../utils/results.py') # In[ ]: # %load test_dfs.py import unittest class TestDfs(unittest.TestCase): def __init__(self, *args, **kwargs): super(TestDfs, self).__init__() self.results = Results() def test_dfs(self): bst = BstDfs(Node(5)) bst.insert(2) bst.insert(8) bst.insert(1) bst.insert(3) bst.in_order_traversal(bst.root, self.results.add_result) self.assertEqual(str(self.results), "[1, 2, 3, 5, 8]") self.results.clear_results() bst.pre_order_traversal(bst.root, self.results.add_result) self.assertEqual(str(self.results), "[5, 2, 1, 3, 8]") self.results.clear_results() bst.post_order_traversal(bst.root, self.results.add_result) self.assertEqual(str(self.results), "[1, 3, 2, 8, 5]") self.results.clear_results() bst = BstDfs(Node(1)) bst.insert(2) bst.insert(3) bst.insert(4) bst.insert(5) bst.in_order_traversal(bst.root, self.results.add_result) self.assertEqual(str(self.results), "[1, 2, 3, 4, 5]") self.results.clear_results() bst.pre_order_traversal(bst.root, self.results.add_result) self.assertEqual(str(self.results), "[1, 2, 3, 4, 5]") self.results.clear_results() bst.post_order_traversal(bst.root, self.results.add_result) self.assertEqual(str(self.results), "[5, 4, 3, 2, 1]") print('Success: test_dfs') def main(): test = TestDfs() test.test_dfs() if __name__ == '__main__': main() # ## Solution Notebook # # Review the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/tree_dfs/dfs_solution.ipynb) for a discussion on algorithms and code solutions.