ALGO2(A)// A is an integer array, index starting at 1 1:for i=1 to n-1 do 2: for j=n to i+1 do 3:    if (A[j] < A[j-1]) then 4:      exchange A[j] with A[j-1] Which function best describes the worst-case running time behaviour of ALGO2 on an array of size n?

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
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ALGO2(A)// A is an integer array, index starting at 1
1:for i=1 to n-1 do
2: for j=n to i+1 do
3:    if (A[j] < A[j-1]) then
4:      exchange A[j] with A[j-1]

Which function best describes the worst-case running time behaviour of ALGO2 on an array of size n?

Option 1) a*(n^2) + b*n +c, where a,b,c are constants
Option 2) a*n + b , where a and b are constants
Option 3) a * n * log(n) + b, where a,b are constants
Option 4) a*(n^3) + b*(n^2) + c*n + d, where a,b,c,d are constants

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