mirror of
https://github.com/donnemartin/interactive-coding-challenges
synced 2026-01-07 01:48:02 +00:00
Added hanoi challenge.
This commit is contained in:
187
stacks_queues/hanoi/hanoi_challenge.ipynb
Normal file
187
stacks_queues/hanoi/hanoi_challenge.ipynb
Normal file
@@ -0,0 +1,187 @@
|
||||
{
|
||||
"cells": [
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"<small><i>This notebook was prepared by [Donne Martin](http://donnemartin.com). Source and license info is on [GitHub](https://github.com/donnemartin/coding-challenges).</i></small>"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"# Challenge Notebook"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"## Problem: Implement the [Towers of Hanoi](http://en.wikipedia.org/wiki/Tower_of_Hanoi) with 3 towers and N disks.\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",
|
||||
"*Problem statements are sometimes ambiguous. Identifying constraints and stating assumptions can help to ensure you code the intended solution.*\n",
|
||||
"\n",
|
||||
"* Can we assume we already have a stack class that can be used for this problem?\n",
|
||||
" * Yes"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"## Test Cases\n",
|
||||
"\n",
|
||||
"* NULL tower(s)\n",
|
||||
"* 0 disks\n",
|
||||
"* 1 disk\n",
|
||||
"* 2 or more disks"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"## Algorithm\n",
|
||||
"\n",
|
||||
"Refer to the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/coding-challenges/blob/master/stacks_queues/hanoi/hanoi_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": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"%run ../stack/stack.py\n",
|
||||
"%load ../stack/stack.py"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"def hanoi(num_disks, src, dest, buff):\n",
|
||||
" # TODO: Implement me\n",
|
||||
" pass"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"## Unit Test\n",
|
||||
"\n",
|
||||
"\n",
|
||||
"\n",
|
||||
"**The following unit test is expected to fail until you solve the challenge.**"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"metadata": {
|
||||
"collapsed": false
|
||||
},
|
||||
"outputs": [],
|
||||
"source": [
|
||||
"# %load test_hanoi.py\n",
|
||||
"from nose.tools import assert_equal\n",
|
||||
"\n",
|
||||
"\n",
|
||||
"class TestHanoi(object):\n",
|
||||
" \n",
|
||||
" def test_hanoi(self):\n",
|
||||
" num_disks = 3\n",
|
||||
" src = Stack()\n",
|
||||
" buff = Stack()\n",
|
||||
" dest = Stack()\n",
|
||||
"\n",
|
||||
" print('Test: NULL towers')\n",
|
||||
" hanoi(num_disks, None, None, None)\n",
|
||||
"\n",
|
||||
" print('Test: 0 disks')\n",
|
||||
" hanoi(num_disks, src, dest, buff)\n",
|
||||
" assert_equal(dest.pop(), None)\n",
|
||||
"\n",
|
||||
" print('Test: 1 disk')\n",
|
||||
" src.push(5)\n",
|
||||
" hanoi(num_disks, src, dest, buff)\n",
|
||||
" assert_equal(dest.pop(), 5)\n",
|
||||
"\n",
|
||||
" print('Test: 2 or more disks')\n",
|
||||
" for i in xrange(num_disks, -1, -1):\n",
|
||||
" src.push(i)\n",
|
||||
" hanoi(num_disks, src, dest, buff)\n",
|
||||
" for i in xrange(0, num_disks):\n",
|
||||
" assert_equal(dest.pop(), i)\n",
|
||||
"\n",
|
||||
" print('Success: test_hanoi')\n",
|
||||
"\n",
|
||||
"def main():\n",
|
||||
" test = TestHanoi()\n",
|
||||
" test.test_hanoi()\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/coding-challenges/blob/master/stacks_queues/hanoi/hanoi_solution.ipynb) for a discussion on algorithms and code solutions."
|
||||
]
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Python 2",
|
||||
"language": "python",
|
||||
"name": "python2"
|
||||
},
|
||||
"language_info": {
|
||||
"codemirror_mode": {
|
||||
"name": "ipython",
|
||||
"version": 2
|
||||
},
|
||||
"file_extension": ".py",
|
||||
"mimetype": "text/x-python",
|
||||
"name": "python",
|
||||
"nbconvert_exporter": "python",
|
||||
"pygments_lexer": "ipython2",
|
||||
"version": "2.7.10"
|
||||
}
|
||||
},
|
||||
"nbformat": 4,
|
||||
"nbformat_minor": 0
|
||||
}
|
||||
Reference in New Issue
Block a user