interactive-coding-challenges/graphs_trees/graph_bfs/bfs_challenge.ipynb

214 lines
4.9 KiB
Python

{
"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 breadth-first search on a graph.\n",
"\n",
"* [Constraints](#Constraints)\n",
"* [Test Cases](#Test-Cases)\n",
"* [Algorithm](#Algorithm)\n",
"* [Code](#Code)\n",
"* [Unit Test](#Unit-Test)\n",
"* [Solution Notebook](#Solution-Notebook)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Constraints\n",
"\n",
"* Is the graph directed?\n",
" * Yes\n",
"* Can we assume we already have Graph and Node classes?\n",
" * Yes\n",
"* Can we assume this is a connected graph?\n",
" * Yes\n",
"* Can we assume the inputs are valid?\n",
" * Yes\n",
"* Can we assume this fits memory?\n",
" * Yes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test Cases\n",
"\n",
"Input:\n",
"* `add_edge(source, destination, weight)`\n",
"\n",
"```\n",
"graph.add_edge(0, 1, 5)\n",
"graph.add_edge(0, 4, 3)\n",
"graph.add_edge(0, 5, 2)\n",
"graph.add_edge(1, 3, 5)\n",
"graph.add_edge(1, 4, 4)\n",
"graph.add_edge(2, 1, 6)\n",
"graph.add_edge(3, 2, 7)\n",
"graph.add_edge(3, 4, 8)\n",
"```\n",
"\n",
"Result:\n",
"* Order of nodes visited: [0, 1, 4, 5, 3, 2]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Algorithm\n",
"\n",
"Refer to the [Solution Notebook](http://nbviewer.jupyter.org/github/donnemartin/interactive-coding-challenges/blob/master/graphs_trees/graph_bfs/bfs_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": {
"collapsed": true
},
"outputs": [],
"source": [
"%run ../graph/graph.py"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"class GraphBfs(Graph):\n",
"\n",
" def bfs(self, root, visit_func):\n",
" # TODO: Implement me\n",
" pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unit Test"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**The following unit test is expected to fail until you solve the challenge.**"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%run ../utils/results.py"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# %load test_bfs.py\n",
"import unittest\n",
"\n",
"\n",
"class TestBfs(unittest.TestCase):\n",
"\n",
" def __init__(self, *args, **kwargs):\n",
" super(TestBfs, self).__init__()\n",
" self.results = Results()\n",
"\n",
" def test_bfs(self):\n",
" nodes = []\n",
" graph = GraphBfs()\n",
" for id in range(0, 6):\n",
" nodes.append(graph.add_node(id))\n",
" graph.add_edge(0, 1, 5)\n",
" graph.add_edge(0, 4, 3)\n",
" graph.add_edge(0, 5, 2)\n",
" graph.add_edge(1, 3, 5)\n",
" graph.add_edge(1, 4, 4)\n",
" graph.add_edge(2, 1, 6)\n",
" graph.add_edge(3, 2, 7)\n",
" graph.add_edge(3, 4, 8)\n",
" graph.bfs(nodes[0], self.results.add_result)\n",
" self.assertEqual(str(self.results), \"[0, 1, 4, 5, 3, 2]\")\n",
"\n",
" print('Success: test_bfs')\n",
"\n",
"\n",
"def main():\n",
" test = TestBfs()\n",
" test.test_bfs()\n",
"\n",
"\n",
"if __name__ == '__main__':\n",
" main()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Solution Notebook\n",
"\n",
"Review the [Solution Notebook]() for a discussion on algorithms and code solutions."
]
}
],
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