Sorting Rubyists - Speaker Deck

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"Sorting" <=> "Rubyists"

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1000

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1000 = 30

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1000 = 30

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Algorithms

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A series of step-by-step instructions

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:14

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Big O

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0 2 4 6 8 10 0 1 2 3 4 5 6 7 8 9 10 O(n) n

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0 2 4 6 8 10 0 1 2 3 4 5 6 7 8 9 10 O (log n )

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0 250 500 750 1000 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 O(n) O(1) O(log n) O(n log n) O(n^2) O(2^n) O(n!)

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0 25 50 75 100 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 O(n) O(1) O(log n) O(n log n) O(n^2) O(2^n) O(n!)

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When do you update a user record?

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When do you update a user record? O ( n log n )

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If you understood everything

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If you understood everything I’m really it today O(n)

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How do you debug an app?

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How do you debug an app? Start O (log n )

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What happens when you buy something?

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What happens when you buy something? You it O(n)

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Big Ω

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Bubble Sort

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2) n O(

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2) O(set.length

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2) n O(

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⌦(n)

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0 250 500 750 1000 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58 61 64 67 70 73 76 79 82 85 88 91 94 97 100 O(n) O(1) O(log n) O(n log n) O(n^2) O(2^n) O(n!)

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https://www.toptal.com/developers/sorting-algorithms/bubble-sort Random Nearly Sorted Reversed Few Unique

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https://www.toptal.com/developers/sorting-algorithms/bubble-sort Random Nearly Sorted Reversed Few Unique

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Insertion Sort

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2) n O(

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⌦(n)

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https://www.toptal.com/developers/sorting-algorithms/insertion-sort Random Nearly Sorted Reversed Few Unique

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https://www.toptal.com/developers/sorting-algorithms/insertion-sort Random Nearly Sorted Reversed Few Unique

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Quicksort

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2) n O(

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#"-"%"'"&","("$"!"*"+

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#"-"%"'"&"("$"!"*"+",

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O ( n log n )

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⌦( n log n )

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https://www.toptal.com/developers/sorting-algorithms/quick-sort Random Nearly Sorted Reversed Few Unique

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https://www.toptal.com/developers/sorting-algorithms/quick-sort Random Nearly Sorted Reversed Few Unique

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Bubble Random Nearly Sorted Reversed Few Unique Insertion Quick

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Bubble Random Nearly Sorted Reversed Few Unique Insertion Quick

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Gracias.

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Bibliography • Pollice, G., Selkow, S., Heineman, G.T. (2008). Algorithms in a Nutshell. O’Reilly Media, Inc. • Bhargava, A. (2016). Grokking Algorithms. Manning Publications. • du Sautoy, M. (Presenter), Overton, P. (Producer). (2015, September 24). The Secret Rules of Modern Living: Algorithms [Television broadcast]. London, UK: BBC Four. • Yukihiro, M. (1996). Array.sort!. Ruby [Software]. Retrieved 2017, March 27 from https://github.com/ruby/ruby/blob/ 47563655037ed453607de33b86fcc094878769ac/ array.c#L2431-L2513.

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Images • Toptal. (2010). [Sorting Algorithms Animations]. Retrieved March 26, 2017, from https://www.toptal.com/developers/sorting-algorithms • Cortesi, A. (2010). [sorting algorithm visualization]. Retrieved March 26, 2017, from http://sortvis.org/ • http://chocolate.wikia.com/wiki/Chocolate_Chip_Cookie • https://www.babble.com/best-recipes/anatomy-of-a-chocolate-chip-cookie/ • http://thequotablekitchen.com/thick-chewy-chocolate-chip-cookies/ • http://www.beachwoodreporter.com/tv/what_i_watched_last_night_55.php • http://asegrad.tufts.edu/academics/explore-graduate-programs/computer- science

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Funography • https://www.youtube.com/watch?v=kPRA0W1kECg • https://www.youtube.com/watch?v=gOKVwRIyWdg • Big O and Big Omega graphics: https://texblog.org/ 2014/06/24/big-o-and-related-notations-in-latex/