(a) Cônsider the following algorithm segment. for i := 1 to8 for j:= 1 to i [Statements in body of inner loop. None contain branching statements that lead outside the loop.] next j next i How many times will the inner loop be iterated when i = 2? How many times will the inner loop be iterated when i = 3? How many times will the inner loop be iterated when the algorithm is implemented and run? (b) Let n be a positive integer, and consider the following algorithm segment. for i := 1 to n for j := 1 to i [Statements in body of inner loop. None contain branching statements that lead outside the loop.] next j next i How many times will the inner loop be iterated when the algorithm is implemented and run?

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
Problem 1PE
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(a) Consider the following algorithm segment.
for i := 1 to 8
for j:= 1 to i
[Statements in body of inner loop.
None contain branching statements
that lead outside the loop.]
next j
next i
How many times will the inner loop be iterated when i = 2?
How many times will the inner loop be iterated when i = 3?
How many times will the inner loop be iterated when the algorithm is implemented and run?
(b) Let n be a positive integer, and consider the following algorithm segment.
for i := 1 ton
for j:= 1 to i
[Statements in body of inner loop.
None contain branching statements
that lead outside the loop.]
next j
next i
How many times will the inner loop be iterated when the algorithm is implemented and run?
Transcribed Image Text:(a) Consider the following algorithm segment. for i := 1 to 8 for j:= 1 to i [Statements in body of inner loop. None contain branching statements that lead outside the loop.] next j next i How many times will the inner loop be iterated when i = 2? How many times will the inner loop be iterated when i = 3? How many times will the inner loop be iterated when the algorithm is implemented and run? (b) Let n be a positive integer, and consider the following algorithm segment. for i := 1 ton for j:= 1 to i [Statements in body of inner loop. None contain branching statements that lead outside the loop.] next j next i How many times will the inner loop be iterated when the algorithm is implemented and run?
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