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Consider the following recurrence relations: A. TĄ(n) =2×TA(플) + n В. Тв (п) c. Tc(n) 4× TB(퓨) + n2 8xTc(끓) +n || D. Tp(n) = 8 × Tp(끌) + 1 and TA(1) = Tg(1) = Tc(1) =Tp(1) = O(1) Problem: Assuming that each node in their respective recursion trees consume the same amount of constant space, which recurrence relation/s has/have the worst worst- case space complexity (O(M(n))? Would this/these also require the most amount of space or program stack memory?

Consider the following recurrence relations: A. TĄ(n) =2×TA(플) + n В. Тв (п) c. Tc(n) 4× TB(퓨) + n2 8xTc(끓) +n || D. Tp(n) = 8 × Tp(끌) + 1 and TA(1) = Tg(1) = Tc(1) =Tp(1) = O(1) Problem: Assuming that each node in their respective recursion trees consume the same amount of constant space, which recurrence relation/s has/have the worst worst- case space complexity (O(M(n))? Would this/these also require the most amount of space or program stack memory?

Database System Concepts
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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Consider the following recurrence relations: А. ТА(п) 2× TA(꽃) +n B. Tp(n) = 4 × Tâ() +n² C. Tc(n) = 8 × Tc()+n D. Tp(n) =8×Tp(플) + 1 and T4(1) = TB(1) = Tc(1) = Tp(1) = 0(1) || Problem: Assuming that each node in their respective recursion trees consume the same amount of constant space, which recurrence relation/s has/have the worst worst- case space complexity (O(M(n)))? Would this/these also require the most amount of space or program stack memory?
Transcribed Image Text:Consider the following recurrence relations: А. ТА(п) 2× TA(꽃) +n B. Tp(n) = 4 × Tâ() +n² C. Tc(n) = 8 × Tc()+n D. Tp(n) =8×Tp(플) + 1 and T4(1) = TB(1) = Tc(1) = Tp(1) = 0(1) || Problem: Assuming that each node in their respective recursion trees consume the same amount of constant space, which recurrence relation/s has/have the worst worst- case space complexity (O(M(n)))? Would this/these also require the most amount of space or program stack memory?
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