{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "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)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Challenge Notebook" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem: Implement depth-first traversals (in-order, pre-order, post-order) on a binary tree.\n", "\n", "* [Constraints](#Constraints)\n", "* [Test Cases](#Test-Cases)\n", "* [Algorithm](#Algorithm)\n", "* [Code](#Code)\n", "* [Unit Test](#Unit-Test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Constraints\n", "\n", "* Can we assume we already have a Node class with an insert method?\n", " * Yes\n", "* What should we do with each node when we process it?\n", " * Call an input method `visit_func` on the node\n", "* Can we assume this fits in memory?\n", " * Yes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Test Cases\n", "\n", "### In-Order Traversal\n", "\n", "* 5, 2, 8, 1, 3 -> 1, 2, 3, 5, 8\n", "* 1, 2, 3, 4, 5 -> 1, 2, 3, 4, 5\n", "\n", "### Pre-Order Traversal\n", "\n", "* 5, 2, 8, 1, 3 -> 5, 2, 1, 3, 8\n", "* 1, 2, 3, 4, 5 -> 1, 2, 3, 4, 5\n", "\n", "### Post-Order Traversal\n", "\n", "* 5, 2, 8, 1, 3 -> 1, 3, 2, 8, 5\n", "* 1, 2, 3, 4, 5 -> 5, 4, 3, 2, 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Algorithm\n", "\n", "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." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Code" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "%run ../bst/bst.py\n", "%load ../bst/bst.py" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "class BstDfs(Bst):\n", "\n", " def in_order_traversal(self, node, visit_func):\n", " # TODO: Implement me\n", " pass\n", "\n", " def pre_order_traversal(self, node, visit_func):\n", " # TODO: Implement me\n", " pass\n", "\n", " def post_order_traversal(self,node, visit_func):\n", " # TODO: Implement me\n", " pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Unit Test" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "%run ../utils/results.py" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# %load test_dfs.py\n", "import unittest\n", "\n", "\n", "class TestDfs(unittest.TestCase):\n", "\n", " def __init__(self, *args, **kwargs):\n", " super(TestDfs, self).__init__()\n", " self.results = Results()\n", "\n", " def test_dfs(self):\n", " bst = BstDfs(Node(5))\n", " bst.insert(2)\n", " bst.insert(8)\n", " bst.insert(1)\n", " bst.insert(3)\n", "\n", " bst.in_order_traversal(bst.root, self.results.add_result)\n", " self.assertEqual(str(self.results), \"[1, 2, 3, 5, 8]\")\n", " self.results.clear_results()\n", "\n", " bst.pre_order_traversal(bst.root, self.results.add_result)\n", " self.assertEqual(str(self.results), \"[5, 2, 1, 3, 8]\")\n", " self.results.clear_results()\n", "\n", " bst.post_order_traversal(bst.root, self.results.add_result)\n", " self.assertEqual(str(self.results), \"[1, 3, 2, 8, 5]\")\n", " self.results.clear_results()\n", "\n", " bst = BstDfs(Node(1))\n", " bst.insert(2)\n", " bst.insert(3)\n", " bst.insert(4)\n", " bst.insert(5)\n", "\n", " bst.in_order_traversal(bst.root, self.results.add_result)\n", " self.assertEqual(str(self.results), \"[1, 2, 3, 4, 5]\")\n", " self.results.clear_results()\n", "\n", " bst.pre_order_traversal(bst.root, self.results.add_result)\n", " self.assertEqual(str(self.results), \"[1, 2, 3, 4, 5]\")\n", " self.results.clear_results()\n", "\n", " bst.post_order_traversal(bst.root, self.results.add_result)\n", " self.assertEqual(str(self.results), \"[5, 4, 3, 2, 1]\")\n", "\n", " print('Success: test_dfs')\n", "\n", "\n", "def main():\n", " test = TestDfs()\n", " test.test_dfs()\n", "\n", "\n", "if __name__ == '__main__':\n", " main()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution Notebook\n", "\n", "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." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.2" } }, "nbformat": 4, "nbformat_minor": 1 }