deffloor(n):"""Compute the floor function of n"""returnint(n)defstoogy(A,i,j):"""Sort A[i...j]"""ifA[i]>A[j]:A[i],A[j]=A[j],A[i]#Swap A[i] and A[j]ifi+1>=j:returnm=floor((j-i+1)/3)stoogy(A,i,j-m)stoogy(A,i+m,j)stoogy(A,i,j-m)defsort(A):"""Sort the list A[0..n]"""stoogy(A,0,len(A)-1)
The tight asymptotic bound of (\(\Theta\) - notation) of the sorting algorithm above(sort(A)) can be expressed as \(\Theta(n^{\alpha})\)( \(\alpha \in \mathbb{R} \) ). Find \(\alpha\).
Details and Assumptions
\(n\) is the size of the array to be sorted.
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