In the following recursive function, A is the input array with size n. RANDOM(n) produces auniformly random number between 1 and n.1: function RECALG2(A, n)if n < 5 then return A[1]2:for i + 1 to | yn] doA[i] <- A[i] – A[[i * /n]]s– A[1]k + RANDOM(n)if k < 2n/3 thens+ s+RECALG2(A,n)3:4:5:6:7:8:return s(a) Determine its worst case asymptotic time complexity.(b) Using probabilistic analysis, determine its average asymptotic time complexity.

Solution:A) for loop iterates n times, and in each iteration of for loop , j is initialised to 1…

In the following recursive function, A is the input array with size n. RANDOM(n) produces a uniformly random number between 1 and n. 1: function RECALG2(A, n) if n < 5 then return A[1] 2: for i + 1 to [yn] do A[i] + A[i] – A[Li * Vn]] s+ A[1] k+ RANDOM(n) if k < 2n/3 then s+ s+RECALG2(A, n) return s 3: 4: - 5: 6: 7: 8: (a) Determine its worst case asymptotic time complexity. (b) Using probabilistic analvsis, determine its average asvmptotic time complexity.

In the following recursive function, A is the input array with size n. RANDOM(n) produces a uniformly random number between 1 and n. 1: function RECALG2(A, n) if n < 5 then return A[1] 2: for i + 1 to [yn] do A[i] + A[i] – A[Li * Vn]] s+ A[1] k+ RANDOM(n) if k < 2n/3 then s+ s+RECALG2(A, n) return s 3: 4: - 5: 6: 7: 8: (a) Determine its worst case asymptotic time complexity. (b) Using probabilistic analvsis, determine its average asvmptotic time complexity.

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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