procedure bubble-sort(A)    for i= 1 to A.length−1 do //1+n+n-1                    for j=A.length down to i+ 1 do //n-1+1                             if A[j]< A[j−1] then;                             exchange A[j] with A[j−1]                                   end if                 end for    end for end procedure   Derive Θ(g(n)),O(g(n)), and Ω(g(n)). State the constants for these running times.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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procedure bubble-sort(A)

   for i= 1 to A.length−1 do //1+n+n-1

                   for j=A.length down to i+ 1 do //n-1+1

                            if A[j]< A[j−1] then;

                            exchange A[j] with A[j−1]

                                  end if

                end for

   end for

end procedure

 

Derive Θ(g(n)),O(g(n)), and Ω(g(n)). State the constants for these running times.

 

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