{ "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", "* None" ] }, { "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" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "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 }