for i: = 1 to 4n S:= 0 for j:= 1 to i - 1 s:= s+j• (i - j+ 1) next j r:= s? next i (a) What is the actual number of elementary operations (additions, subtractions, multiplications, divisions, and comparisons that are performed when the algorithm segment is executed? For simplicity, count only comparisons that occur within if- statements, and ignore those implied by for-next loops. Express your answer in terms of n. (Hint: See Example 11.3.3 a exercises 11.3.1la and 11.3.14a in the "Read It" link.) The number of operations is (b) Apply the theorem on polynomial orders to the expression in part (a) to find that an order for the algorithm segment is
for i: = 1 to 4n S:= 0 for j:= 1 to i - 1 s:= s+j• (i - j+ 1) next j r:= s? next i (a) What is the actual number of elementary operations (additions, subtractions, multiplications, divisions, and comparisons that are performed when the algorithm segment is executed? For simplicity, count only comparisons that occur within if- statements, and ignore those implied by for-next loops. Express your answer in terms of n. (Hint: See Example 11.3.3 a exercises 11.3.1la and 11.3.14a in the "Read It" link.) The number of operations is (b) Apply the theorem on polynomial orders to the expression in part (a) to find that an order for the algorithm segment is
Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Transcribed Image Text:Consider the following algorithm segment. Assume that n is a positive integer.
for i: = 1 to 4n
S:= 0
for j := 1 to i – 1
s := s +j• (i - j + 1)
next j
r:= s2
next i
(a) What is the actual number of elementary operations (additions, subtractions, multiplications, divisions, and comparisons)
that are performed when the algorithm segment is executed? For simplicity, count only comparisons that occur within if-then
statements, and ignore those implied
for-next loops. Express your answer in terms of n. (Hint: See Example 11.3.3 and
exercises 11.3.11a and 11.3.14a in the "Read It" link.)
The number of operations is
(b) Apply the theorem on polynomial orders to the expression in part (a) to find that an order for the algorithm segment is
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