Added notebook solving the following: Implement insertion sort.

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Donne Martin 2015-05-26 17:51:55 -04:00
parent be77c3bf5e
commit d909f7bfdf
2 changed files with 125 additions and 0 deletions

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## Sorting and Searching ## Sorting and Searching
* [Implement selection sort](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/sorting-searching/selection-sort.ipynb#) * [Implement selection sort](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/sorting-searching/selection-sort.ipynb#)
* [Implement insertion sort](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/sorting-searching/insertion-sort.ipynb#)
## Hacker Rank ## Hacker Rank

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Problem: Implement insertion sort.\n",
"\n",
"* [Clarifying Questions](#Clarifying-Questions)\n",
"* [Test Cases](#Test-Cases)\n",
"* [Algorithm](#Algorithm)\n",
"* [Code](#Code)\n",
"* [Pythonic-Code](#Pythonic-Code)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Clarifying Questions\n",
"\n",
"* Are we sorting integers?\n",
" * Yes\n",
"* Can we assume the input is valid integers?\n",
" * Yes\n",
"* Can we have duplicate integers?\n",
" * Yes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test Cases\n",
"\n",
"* Empty input\n",
"* One element\n",
"* Two or more elements"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Algorithm\n",
"\n",
"Wikipedia's animation:\n",
"![alt text](http://upload.wikimedia.org/wikipedia/commons/0/0f/Insertion-sort-example-300px.gif)\n",
"\n",
"* For each value index 1 to n - 1\n",
" * Compare with all elements to the left of the current value to determine new insertion point\n",
" * Hold current value in temp variable\n",
" * Shift elements from new insertion point right\n",
" * Insert value in temp variable\n",
" * Break\n",
"\n",
"Complexity:\n",
"* Time: O(n^2) avarage, worst. O(1) best if input is already sorted.\n",
"* Space: O(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def insertion_sort(data):\n",
" if len(data) < 2:\n",
" return\n",
" for r in xrange(1, len(data)):\n",
" for l in xrange(0, r):\n",
" if data[l] > data[r]:\n",
" temp = data[r]\n",
" data[l+1:r+1] = data[l:r]\n",
" data[l] = temp\n",
" break\n",
"\n",
"print('Empty input')\n",
"data = []\n",
"insertion_sort(data)\n",
"print(data)\n",
"print('One element')\n",
"data = [5]\n",
"insertion_sort(data)\n",
"print(data)\n",
"print('Two or more elements')\n",
"data = [5, 1, 7, 2, 6, -3, 5, 7, -1]\n",
"insertion_sort(data)\n",
"print(data)"
]
}
],
"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": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}