Cs4102 L8 quickselectMedianofMedians - University of Virginia School of ...
CS4102 Algorithms
Spring 2019
Warm up Compare ! " + $ with ! " + !($)
When ! " = ((") When ! " = (")
1
$ ! = O(!)
$)
= )*.,-
$(!)
$(")
$(") $(!)
!"
!+"
$ ! + " $ ! + $(")
2
! ( = (()
!())
= "$.&'
!"
!(()
!())
!(()
()
(+)
! ( + ) ! ( + !())
3
! $ = ($)
!"
="
!($)
!(%)
!(%) !($)
$%
$+%
! $ + % = ! $ + !(%)
4
Today's Keywords
? Divide and Conquer ? Sorting ? Quicksort ? Median ? Order statistic ? Quickselect ? Median of Medians
6
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