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(a) Consider the following algorithm segment: for i := 1 to n for j := 1 to i x := 5 · i+8· j next j next i (b) How many additions and multiplications are performed when the inner loop of this algo- rithm segment is executed? How many additions and multiplications are performed when the entire algorithm segment is executed? (c) Find an order for this algorithm segment from among the following: log, n, n, n · log, n, n2, n³, and nª. Give a reason for your answer.

(a) Consider the following algorithm segment: for i := 1 to n for j := 1 to i x := 5 · i+8· j next j next i (b) How many additions and multiplications are performed when the inner loop of this algo- rithm segment is executed? How many additions and multiplications are performed when the entire algorithm segment is executed? (c) Find an order for this algorithm segment from among the following: log, n, n, n · log, n, n2, n³, and nª. Give a reason for your answer.

Database System Concepts
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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(a) Consider the following algorithm segment: for i := 1 to n for j := 1 to i x := 5· i+8· j next j next i (b) How many additions and multiplications are performed when the inner loop of this algo- rithm segment is executed? How many additions and multiplications are performed when the entire algorithm segment is executed? (c) Find an order for this algorithm segment from among the following: log, n, n, n · log2 n, n2, n³, and n*. Give a reason for your answer.
Transcribed Image Text:(a) Consider the following algorithm segment: for i := 1 to n for j := 1 to i x := 5· i+8· j next j next i (b) How many additions and multiplications are performed when the inner loop of this algo- rithm segment is executed? How many additions and multiplications are performed when the entire algorithm segment is executed? (c) Find an order for this algorithm segment from among the following: log, n, n, n · log2 n, n2, n³, and n*. Give a reason for your answer.
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