write a recurrence relation describing the running time of algorithm modified merge sort(A, p,r) include base case.

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Given an array A and two indices p and r consider the following modified merge sort

algorithm

write a recurrence relation describing the running time of algorithm modified merge sort(A, p,r) include base case.

mofified merge sort (A, p, r)

if p<r

 n = r - p + 1

q = n/3

foo(A,p,p + q)

foo (A,p, + q + 1, p + 2q)

foo(A, P + 2q + 1, r)

merge (A, p, p + q, p + 2q)

merge(A, p,p + 2q,r)

 

 

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