mirror of
https://github.com/donnemartin/interactive-coding-challenges.git
synced 2024-03-22 13:11:13 +08:00
226 lines
5.8 KiB
Plaintext
226 lines
5.8 KiB
Plaintext
{
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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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"<small><i>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).</i></small>"
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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 searches (in-order, pre-order, post-order traversals) 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"
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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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"collapsed": true
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},
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"outputs": [],
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"source": [
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"%run ../bst/bst.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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"collapsed": false
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},
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"outputs": [],
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"source": [
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"class MyNode(Node):\n",
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" def in_order_traversal(self, visit_func):\n",
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" # TODO: Implement me\n",
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"\n",
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" def pre_order_traversal(self, visit_func):\n",
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" # TODO: Implement me\n",
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"\n",
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" def post_order_traversal(self, visit_func):\n",
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" # TODO: Implement me"
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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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"collapsed": true
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},
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"outputs": [],
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"source": [
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"%run ../utils/captured_output.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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"collapsed": false
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},
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"outputs": [],
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"source": [
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"# %load test_dfs.py\n",
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"from __future__ import print_function\n",
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"from nose.tools import assert_equal\n",
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"\n",
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"\n",
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"class TestDfs(object):\n",
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"\n",
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" def test_dfs(self):\n",
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" root = Node(5)\n",
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" root.insert(2)\n",
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" root.insert(8)\n",
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" root.insert(1)\n",
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" root.insert(3)\n",
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"\n",
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" with captured_output() as (out, err):\n",
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" root.in_order_traversal(sys.stdout.write)\n",
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" assert_equal(out.getvalue().strip(), '12358')\n",
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"\n",
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" with captured_output() as (out, err):\n",
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" root.pre_order_traversal(sys.stdout.write)\n",
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" assert_equal(out.getvalue().strip(), '52138')\n",
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"\n",
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" with captured_output() as (out, err):\n",
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" root.post_order_traversal(sys.stdout.write)\n",
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" assert_equal(out.getvalue().strip(), '13285')\n",
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"\n",
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" with captured_output() as (out, err):\n",
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" root.bfs(sys.stdout.write)\n",
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" assert_equal(out.getvalue().strip(), '52813')\n",
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"\n",
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" root = Node(1)\n",
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" root.insert(2)\n",
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" root.insert(3)\n",
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" root.insert(4)\n",
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" root.insert(5)\n",
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"\n",
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" with captured_output() as (out, err):\n",
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" root.in_order_traversal(sys.stdout.write)\n",
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" assert_equal(out.getvalue().strip(), '12345')\n",
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"\n",
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" with captured_output() as (out, err):\n",
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" root.pre_order_traversal(sys.stdout.write)\n",
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" assert_equal(out.getvalue().strip(), '12345')\n",
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"\n",
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" with captured_output() as (out, err):\n",
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" root.post_order_traversal(sys.stdout.write)\n",
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" assert_equal(out.getvalue().strip(), '54321')\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 2",
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"language": "python",
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"name": "python2"
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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": 2
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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": "ipython2",
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"version": "2.7.10"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 0
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}
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