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a) function func(A,n) if n ≤ 5 then return A(1) else for i=1 to n for j = i to n-1 Ail(i) + A/i) + 2

a) function func(A,n) if n ≤ 5 then return A(1) else for i=1 to n for j = i to n-1 Ail(i) + A/i) + 2

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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2. Write a recurrence relation describing the worst case running time of each of the following algorithms and determine the asymptotic complexity of the function defined by the recurrence relation. Justify your solution. You may not use the Master Theorem as justification of your answer. Simplify and express your answer as (nk) or (nk log₂ n) whenever possible. If the algorithm is exponential just give exponential lower bounds. a) function func(A,n) if n ≤ 5 then return A(1) else for i=1 to n for j = i to n-1 A(j) A(j) + A(i) + 3 /* endfor */ /* endfor */ wwwwwwwwww y ← func(A, n-6) return (y)
Transcribed Image Text:2. Write a recurrence relation describing the worst case running time of each of the following algorithms and determine the asymptotic complexity of the function defined by the recurrence relation. Justify your solution. You may not use the Master Theorem as justification of your answer. Simplify and express your answer as (nk) or (nk log₂ n) whenever possible. If the algorithm is exponential just give exponential lower bounds. a) function func(A,n) if n ≤ 5 then return A(1) else for i=1 to n for j = i to n-1 A(j) A(j) + A(i) + 3 /* endfor */ /* endfor */ wwwwwwwwww y ← func(A, n-6) return (y)
b) function func(A,n) if n <= 2 then return A(1) y func(A, floor(n/3)) for i = n-5 to n y + y + A(i) + 3 /* endfor */ return (y)
Transcribed Image Text:b) function func(A,n) if n <= 2 then return A(1) y func(A, floor(n/3)) for i = n-5 to n y + y + A(i) + 3 /* endfor */ return (y)
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