(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)

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter2: Problem Solving Using C++using
Section2.1: Introduction To C++
Problem 1E: (Practice) State whether the following are valid function names and if so, whether they’re mnemonic...
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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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