(a) Find the total number of additions and multiplications that must be performed when the following algorithm is executed. Show your work carefully. for i := 1 to n for j = i to n a := 2 · (5 · i + j+ 1) next j next i (b) Find an order for the algorithm segment of part (a) from among the following: log, n, n, n · log, n, n², n³, and nª. Give a reason for your answer.

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
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Algorithm, need step-by-step solution in (a) and (b).

(a) Find the total number of additions and multiplications that must be performed when the
following algorithm is executed. Show your work carefully.
for i := 1 to n
for j = i to n
a := 2 · (5 · i + j +1)
next j
next i
(b) Find an order for the algorithm segment of part (a) from among the following: log, n, n,
n· log2 n, n², n³, and nº. Give a reason for your answer.
Transcribed Image Text:(a) Find the total number of additions and multiplications that must be performed when the following algorithm is executed. Show your work carefully. for i := 1 to n for j = i to n a := 2 · (5 · i + j +1) next j next i (b) Find an order for the algorithm segment of part (a) from among the following: log, n, n, n· log2 n, n², n³, and nº. Give a reason for your answer.
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