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Based on QuickSelect, let s define a new algorithm DeterministicSelect that deter - ministically picks a consistently good pivot every time. This pivot - selection
Based on QuickSelect, lets define a new algorithm DeterministicSelect that deter
ministically picks a consistently good pivot every time. This pivotselection strategy is called
Median of Medians so that the worstcase runtime of DeterministicSelectA k is
On
Median of Medians
Group the array into n groups of elements each ignore any
leftover elements
Find the median of each group of elements as each group has a
constant elements, finding each individual median is O
Create a new array with only the n medians, and find the true
median of this array using DeterministicSelect.
Return this median as the chosen pivot
a Show that the worstcase runtime of DeterministicSelectA k using the Median
of Medians strategy is On
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