interactive-coding-challenges/graphs_trees/tree_bfs/bfs_solution.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<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>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Solution Notebook"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Problem: Implement breadth-first search 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"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test Cases\n",
"\n",
"### Breadth-First Search\n",
"* 5, 2, 8, 1, 3 -> 5, 2, 8, 1, 3"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Algorithm\n",
"\n",
"* Initialize queue with root\n",
"* While queue is not empty\n",
" * Dequeue and print the node\n",
" * Queue the left child\n",
" * Queue the right child\n",
"\n",
"Complexity:\n",
"* Time: O(n)\n",
"* Space: O(n)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%run ../bst/bst.py"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from collections import deque\n",
"\n",
"\n",
"def bfs(root, visit_func):\n",
" queue = deque()\n",
" queue.append(root)\n",
" while queue:\n",
" node = queue.popleft()\n",
" visit_func(node.data)\n",
" if node.left is not None:\n",
" queue.append(node.left)\n",
" if node.right is not None:\n",
" queue.append(node.right)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unit Test"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%run ../utils/results.py"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Overwriting test_bfs.py\n"
]
}
],
"source": [
"%%writefile test_bfs.py\n",
"from nose.tools import assert_equal\n",
"\n",
"\n",
"class TestBfs(object):\n",
"\n",
" def __init__(self):\n",
" self.results = Results()\n",
"\n",
" def test_bfs(self):\n",
" node = Node(5)\n",
" insert(node, 2)\n",
" insert(node, 8)\n",
" insert(node, 1)\n",
" insert(node, 3)\n",
" bfs(node, self.results.add_result)\n",
" assert_equal(str(self.results), '[5, 2, 8, 1, 3]')\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": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Success: test_bfs\n"
]
}
],
"source": [
"%run -i test_bfs.py"
]
}
],
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"display_name": "Python 2",
"language": "python",
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