mirror of
https://github.com/donnemartin/interactive-coding-challenges.git
synced 2024-03-22 13:11:13 +08:00
267 lines
7.4 KiB
Python
267 lines
7.4 KiB
Python
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"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)."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Challenge Notebook"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Problem: Implement depth-first traversals (in-order, pre-order, post-order) on a binary tree.\n",
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"\n",
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"* [Constraints](#Constraints)\n",
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"* [Test Cases](#Test-Cases)\n",
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"* [Algorithm](#Algorithm)\n",
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"* [Code](#Code)\n",
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"* [Unit Test](#Unit-Test)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Constraints\n",
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"\n",
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"* Can we assume we already have a Node class with an insert method?\n",
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" * Yes\n",
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"* What should we do with each node when we process it?\n",
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" * Call an input method `visit_func` on the node\n",
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"* Can we assume this fits in memory?\n",
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" * Yes"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Test Cases\n",
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"\n",
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"### In-Order Traversal\n",
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"\n",
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"* 5, 2, 8, 1, 3 -> 1, 2, 3, 5, 8\n",
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"* 1, 2, 3, 4, 5 -> 1, 2, 3, 4, 5\n",
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"\n",
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"### Pre-Order Traversal\n",
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"\n",
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"* 5, 2, 8, 1, 3 -> 5, 2, 1, 3, 8\n",
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"* 1, 2, 3, 4, 5 -> 1, 2, 3, 4, 5\n",
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"\n",
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"### Post-Order Traversal\n",
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"\n",
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"* 5, 2, 8, 1, 3 -> 1, 3, 2, 8, 5\n",
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"* 1, 2, 3, 4, 5 -> 5, 4, 3, 2, 1"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Algorithm\n",
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"\n",
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"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."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Code"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# %load ../bst/bst.py\n",
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"class Node(object):\n",
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"\n",
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" def __init__(self, data):\n",
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" self.data = data\n",
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" self.left = None\n",
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" self.right = None\n",
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" self.parent = None\n",
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"\n",
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" def __repr__(self):\n",
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" return str(self.data)\n",
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"\n",
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"\n",
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"class Bst(object):\n",
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"\n",
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" def __init__(self, root=None):\n",
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" self.root = root\n",
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"\n",
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" def insert(self, data):\n",
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" if data is None:\n",
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" raise TypeError('data cannot be None')\n",
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" if self.root is None:\n",
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" self.root = Node(data)\n",
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" return self.root\n",
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" else:\n",
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" return self._insert(self.root, data)\n",
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"\n",
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" def _insert(self, node, data):\n",
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" if node is None:\n",
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" return Node(data)\n",
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" if data <= node.data:\n",
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" if node.left is None:\n",
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" node.left = self._insert(node.left, data)\n",
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" node.left.parent = node\n",
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" return node.left\n",
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" else:\n",
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" return self._insert(node.left, data)\n",
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" else:\n",
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" if node.right is None:\n",
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" node.right = self._insert(node.right, data)\n",
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" node.right.parent = node\n",
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" return node.right\n",
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" else:\n",
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" return self._insert(node.right, data)\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"class BstDfs(Bst):\n",
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"\n",
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" def in_order_traversal(self, node, visit_func):\n",
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" # TODO: Implement me\n",
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" pass\n",
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"\n",
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" def pre_order_traversal(self, node, visit_func):\n",
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" # TODO: Implement me\n",
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" pass\n",
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"\n",
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" def post_order_traversal(self,node, visit_func):\n",
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" # TODO: Implement me\n",
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" pass"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Unit Test"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"%run ../utils/results.py"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# %load test_dfs.py\n",
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"import unittest\n",
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"\n",
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"\n",
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"class TestDfs(unittest.TestCase):\n",
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"\n",
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" def __init__(self, *args, **kwargs):\n",
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" super(TestDfs, self).__init__()\n",
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" self.results = Results()\n",
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"\n",
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" def test_dfs(self):\n",
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" bst = BstDfs(Node(5))\n",
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" bst.insert(2)\n",
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" bst.insert(8)\n",
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" bst.insert(1)\n",
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" bst.insert(3)\n",
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"\n",
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" bst.in_order_traversal(bst.root, self.results.add_result)\n",
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" self.assertEqual(str(self.results), \"[1, 2, 3, 5, 8]\")\n",
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" self.results.clear_results()\n",
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"\n",
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" bst.pre_order_traversal(bst.root, self.results.add_result)\n",
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" self.assertEqual(str(self.results), \"[5, 2, 1, 3, 8]\")\n",
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" self.results.clear_results()\n",
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"\n",
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" bst.post_order_traversal(bst.root, self.results.add_result)\n",
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" self.assertEqual(str(self.results), \"[1, 3, 2, 8, 5]\")\n",
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" self.results.clear_results()\n",
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"\n",
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" bst = BstDfs(Node(1))\n",
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" bst.insert(2)\n",
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" bst.insert(3)\n",
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" bst.insert(4)\n",
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" bst.insert(5)\n",
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"\n",
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" bst.in_order_traversal(bst.root, self.results.add_result)\n",
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" self.assertEqual(str(self.results), \"[1, 2, 3, 4, 5]\")\n",
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" self.results.clear_results()\n",
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"\n",
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" bst.pre_order_traversal(bst.root, self.results.add_result)\n",
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" self.assertEqual(str(self.results), \"[1, 2, 3, 4, 5]\")\n",
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" self.results.clear_results()\n",
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"\n",
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" bst.post_order_traversal(bst.root, self.results.add_result)\n",
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" self.assertEqual(str(self.results), \"[5, 4, 3, 2, 1]\")\n",
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"\n",
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" print('Success: test_dfs')\n",
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"\n",
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"\n",
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"def main():\n",
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" test = TestDfs()\n",
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" test.test_dfs()\n",
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"\n",
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"\n",
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"if __name__ == '__main__':\n",
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" main()"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Solution Notebook\n",
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"\n",
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"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."
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.7.2"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 1
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}
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