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(a) FUNCTION W.(n = N) x+0 i +1 WHILE i < n² DO x++ i5i RETURN(x) (b) FUNCTION W₂(n = N) x+0 FOR 1 TO n² DO j+3 WHILE j < i DO x++ j← 2j RETURN (2)

(a) FUNCTION W.(n = N) x+0 i +1 WHILE i < n² DO x++ i5i RETURN(x) (b) FUNCTION W₂(n = N) x+0 FOR 1 TO n² DO j+3 WHILE j < i DO x++ j← 2j RETURN (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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Write down a summation version of the run-time of each of the
following two algorithms and then figure out and prove the asymptotic complexity
(Θ-set) of that run-time function.

 

(a) FUNCTION W.(n = N) x +0 i + 1 WHILE in² DO x ++ i 5i RETURN(x) (b) FUNCTION W₁(n = N) x +0 FOR 1 TO n² DO j+3 WHILE j < i DO x ++ j+2j RETURN (x)
Transcribed Image Text:(a) FUNCTION W.(n = N) x +0 i + 1 WHILE in² DO x ++ i 5i RETURN(x) (b) FUNCTION W₁(n = N) x +0 FOR 1 TO n² DO j+3 WHILE j < i DO x ++ j+2j RETURN (x)
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