For this code answer the following ALGORITHM Mystery (n) S ← 0 for i ← 1 to n do S ← S + i*i Return S (a) What does the algorithm computes? (b) Write the running time for each line, and derive the exact time? (c) What is the basic operation? (d) What is the efficiency class of this algorithm? (e) Can we do better algorithm?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2CEXP
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For this code answer the following

ALGORITHM Mystery (n)
S ← 0
for i ← 1 to n do
S ← S + i*i
Return S

(a) What does the algorithm computes?
(b) Write the running time for each line, and derive the exact time?
(c) What is the basic operation?
(d) What is the efficiency class of this algorithm?
(e) Can we do better algorithm?

• For this code answer the following
ALGORITHM Mystery (n)
s + 0
for i + 1 to n do
s + s + i*i
Return S
(a) What does the algorithm computes?
(b) Write the running time for each line, and derive the exact time?
(c) What is the basic operation?
(d) What is the efficiency class of this algorithm?
(e) Can we do better algorithm?
Transcribed Image Text:• For this code answer the following ALGORITHM Mystery (n) s + 0 for i + 1 to n do s + s + i*i Return S (a) What does the algorithm computes? (b) Write the running time for each line, and derive the exact time? (c) What is the basic operation? (d) What is the efficiency class of this algorithm? (e) Can we do better algorithm?
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