mirror of
https://github.com/donnemartin/interactive-coding-challenges.git
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125 lines
2.9 KiB
Plaintext
125 lines
2.9 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Problem: Implement insertion sort.\n",
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"\n",
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"* [Clarifying Questions](#Clarifying-Questions)\n",
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"* [Test Cases](#Test-Cases)\n",
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"* [Algorithm](#Algorithm)\n",
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"* [Code](#Code)\n",
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"* [Pythonic-Code](#Pythonic-Code)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Clarifying Questions\n",
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"\n",
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"* Are we sorting integers?\n",
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" * Yes\n",
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"* Can we assume the input is valid integers?\n",
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" * Yes\n",
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"* Can we have duplicate integers?\n",
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" * Yes"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Test Cases\n",
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"\n",
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"* Empty input\n",
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"* One element\n",
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"* Two or more elements"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Algorithm\n",
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"\n",
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"Wikipedia's animation:\n",
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"\n",
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"\n",
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"* For each value index 1 to n - 1\n",
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" * Compare with all elements to the left of the current value to determine new insertion point\n",
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" * Hold current value in temp variable\n",
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" * Shift elements from new insertion point right\n",
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" * Insert value in temp variable\n",
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" * Break\n",
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"\n",
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"Complexity:\n",
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"* Time: O(n^2) avarage, worst. O(1) best if input is already sorted.\n",
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"* Space: O(1)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Code"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"def insertion_sort(data):\n",
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" if len(data) < 2:\n",
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" return\n",
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" for r in xrange(1, len(data)):\n",
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" for l in xrange(0, r):\n",
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" if data[l] > data[r]:\n",
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" temp = data[r]\n",
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" data[l+1:r+1] = data[l:r]\n",
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" data[l] = temp\n",
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" break\n",
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"\n",
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"print('Empty input')\n",
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"data = []\n",
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"insertion_sort(data)\n",
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"print(data)\n",
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"print('One element')\n",
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"data = [5]\n",
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"insertion_sort(data)\n",
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"print(data)\n",
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"print('Two or more elements')\n",
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"data = [5, 1, 7, 2, 6, -3, 5, 7, -1]\n",
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"insertion_sort(data)\n",
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"print(data)"
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 2",
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"language": "python",
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"name": "python2"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 2
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython2",
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"version": "2.7.9"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 0
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}
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