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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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..
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..
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Algorithms
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A series of
step-by-step
instructions
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t
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:14
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Big O
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0
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O(n)
n
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O
(log
n
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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
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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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!"#"$"%"&"'"(")"*"+",
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!"#"$"%"&"'"(")"*"+",
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!"#"$"%"&"'"(")"*"+",
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!"$"#"%"&"'"(")"*"+",
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!"$"#"%"&"'"(")"*"+",
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!"$"%"#"&"'"(")"*"+",
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!"$"%"#"&"'"(")"*"+",
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!"$"%"&"#"'"(")"*"+",
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!"$"%"&"#"'"(")"*"+",
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!"$"%"&"'"#"(")"*"+",
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!"$"%"&"'"#"(")"*"+",
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!"$"%"&"'"("#")"*"+",
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!"$"%"&"'"("#")"*"+",
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!"$"%"&"'"(")"#"*"+",
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!"$"%"&"'"(")"#"*"+",
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!"$"%"&"'"(")"*"#"+",
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!"$"%"&"'"(")"*"#"+",
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!"$"%"&"'"(")"*"+"#",
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!"$"%"&"'"(")"*"+"#",
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!"$"%"&"'"(")"*"+"#",
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!"$"%"&"'"(")"*"+"#",
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!"$"%"&"'"(")"*"+"#",
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!"%"$"&"'"(")"*"+"#",
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!"%"$"&"'"(")"*"+"#",
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!"%"&"$"'"(")"*"+"#",
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!"%"&"$"'"(")"*"+"#",
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!"%"&"'"$"(")"*"+"#",
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!"%"&"'"$"(")"*"+"#",
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!"%"&"'"("$")"*"+"#",
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!"%"&"'"("$")"*"+"#",
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!"%"&"'"(")"$"*"+"#",
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!"%"&"'"(")"$"*"+"#",
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!"%"&"'"(")"*"$"+"#",
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!"%"&"'"(")"*"$"+"#",
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!"%"&"'"(")"*"+"$"#",
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!"%"&"'"(")"*"+"$"#",
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!"%"&"'"(")"*"+"$"#",
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!"%"&"'"(")"*"+"$"#",
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%"!"&"'"(")"*"+"$"#",
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%"!"&"'"(")"*"+"$"#",
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%"&"!"'"(")"*"+"$"#",
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%"&"!"'"(")"*"+"$"#",
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%"&"'"!"(")"*"+"$"#",
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%"&"'"!"(")"*"+"$"#",
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%"&"'"!"(")"*"+"$"#",
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%"&"'"!")"("*"+"$"#",
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%"&"'"!")"("*"+"$"#",
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%"&"'"!")"*"("+"$"#",
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%"&"'"!")"*"("+"$"#",
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%"&"'"!")"*"+"("$"#",
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%"&"'"!")"*"+"("$"#",
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%"&"'"!")"*"+"("$"#",
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%"&"'"!")"*"+"("$"#",
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%"&"'"!")"*"+"("$"#",
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%"&"'"!")"*"+"("$"#",
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%"&"'"!")"*"+"("$"#",
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%"&"'")"!"*"+"("$"#",
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%"&"'")"!"*"+"("$"#",
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%"&"'")"*"!"+"("$"#",
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%"&"'")"*"!"+"("$"#",
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%"&"'")"*"+"!"("$"#",
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%"&"'")"*"+"!"("$"#",
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%"&"'")"*"+"!"("$"#",
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%"&"'")"*"+"!"("$"#",
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%"&"'")"*"+"!"("$"#",
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%"&"'")"*"+"!"("$"#",
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%"&")"'"*"+"!"("$"#",
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%"&")"'"*"+"!"("$"#",
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%"&")"'"*"+"!"("$"#",
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%"&")"'"+"*"!"("$"#",
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%"&")"'"+"*"!"("$"#",
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%"&")"'"+"*"!"("$"#",
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%"&")"'"+"*"!"("$"#",
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%"&")"'"+"*"!"("$"#",
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%")"&"'"+"*"!"("$"#",
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%")"&"'"+"*"!"("$"#",
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%")"&"'"+"*"!"("$"#",
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%")"&"+"'"*"!"("$"#",
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%")"&"+"'"*"!"("$"#",
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%")"&"+"'"*"!"("$"#",
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%")"&"+"'"*"!"("$"#",
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)"%"&"+"'"*"!"("$"#",
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)"%"&"+"'"*"!"("$"#",
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)"%"&"+"'"*"!"("$"#",
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)"%"&"+"'"*"!"("$"#",
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)"%"&"+"'"*"!"("$"#",
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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
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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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("#","&"+"%"-"*"$"'"!
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("#","&"+"%"-"*"$"'"!
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("#","&"+"%"-"*"$"'"!
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("#","&"+"%"-"*"$"'"!
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("#","&"+"%"-"*"$"'"!
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("#","&"+"%"-"*"$"'"!
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("#","&"+"%"-"*"$"'"!
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("#","&"+"%"-"*"$"'"!
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("#","&"+"%"-"*"$"'"!
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("#","&"+"%"-"*"$"'"!
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("#","&"+"%"-"*"$"'"!
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&"("#","+"%"-"*"$"'"!
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&"("#","+"%"-"*"$"'"!
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&"("#","+"%"-"*"$"'"!
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&"("#","+"%"-"*"$"'"!
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&"("#","+"%"-"*"$"'"!
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&"("#","+"%"-"*"$"'"!
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&"+"("#","%"-"*"$"'"!
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&"+"("#","%"-"*"$"'"!
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&"+"("#","%"-"*"$"'"!
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&"+"("#","%"-"*"$"'"!
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&"+"("#","%"-"*"$"'"!
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&"+"("#","%"-"*"$"'"!
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&"+"("#","%"-"*"$"'"!
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%"&"+"("#","-"*"$"'"!
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%"&"+"("#","-"*"$"'"!
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%"&"+"("#","-"*"$"'"!
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%"&"+"("#","-"*"$"'"!
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%"&"+"("#","-"*"$"'"!
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%"&"+"("#","-"*"$"'"!
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%"&"+"("#","-"*"$"'"!
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%"&"+"("#","-"*"$"'"!
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-"%"&"+"("#","*"$"'"!
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-"%"&"+"("#","*"$"'"!
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-"%"&"+"("#","*"$"'"!
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-"%"&"+"("#","*"$"'"!
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-"%"&"+"("#","*"$"'"!
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-"%"&"+"("#","*"$"'"!
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-"%"&"+"*"("#","$"'"!
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-"%"&"+"*"("#","$"'"!
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-"%"&"+"*"("#","$"'"!
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-"%"&"+"*"("#","$"'"!
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-"%"&"+"*"("#","$"'"!
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-"%"&"+"*"("$"#","'"!
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-"%"&"+"*"("$"#","'"!
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-"%"&"+"*"("$"#","'"!
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-"%"&"+"*"("$"#","'"!
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-"%"&"+"*"("$"#","'"!
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-"%"&"+"*"("$"#","'"!
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-"%"&"+"*"("$"#","'"!
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-"%"&"+"*"("$"#","'"!
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-"%"&"+"'"*"("$"#","!
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-"%"&"+"'"*"("$"#","!
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-"%"&"+"'"*"("$"#","!
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-"%"&"+"'"*"("$"#","!
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-"%"&"+"'"*"("$"#","!
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-"%"&"+"'"*"("$"#","!
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-"%"&"+"'"*"("$"#","!
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-"%"&"+"'"*"!"("$"#",
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-"%"&"+"'"*"!"("$"#",
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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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#"-"%"'"&","("$"!"*"+
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#"-"%"'"&","("$"!"*"+
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#"-"%"'"&"("$"!"*"+",
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#"-"%"'"&"("$"!"*"+",
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-"%"'"&"!"*"+"("#"$",
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-"%"'"&"!"*"+"("#"$",
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-"%"&"'"!"*"+"("#"$",
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-"%"&"'"!"*"+"("#"$",
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-"%"&"'"!"*"+"("#"$",
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-"%"&"'"!"*"+"("#"$",
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-"%"&"'"+"*"!"("#"$",
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-"%"&"'"+"*"!"("#"$",
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-"%"&"+"'"*"!"("#"$",
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-"%"&"+"'"*"!"("#"$",
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-"%"&"+"'"*"!"("$"#",
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-"%"&"+"'"*"!"("$"#",
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-"%"&"+"'"*"!"("$"#",
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-"%"&"+"'"*"!"("$"#",
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-"%"&"+"'"*"!"("$"#",
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-"%"&"+"'"*"!"("$"#",
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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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No content
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No content
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No content
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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/