(a) FUNCTION Wa(n = N) x i 0 1 WHILE in² DO

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
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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
(-set) of that run-time function.
(a) FUNCTION Wa(n = N)
x < 0
i 1
WHILE i < n² DO
x + +
i ← 5i
RETURN(x)
(b) FUNCTION W₁(n = N)
x < 0
FOR
1 TO ² DO
j← 3
WHILE j ≤ i DO
x + +
j← 2j
RETURN(x)
Transcribed Image Text: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 (-set) of that run-time function. (a) FUNCTION Wa(n = N) x < 0 i 1 WHILE i < n² DO x + + i ← 5i RETURN(x) (b) FUNCTION W₁(n = N) x < 0 FOR 1 TO ² DO j← 3 WHILE j ≤ i DO x + + j← 2j RETURN(x)
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