Answered: Use a stack implementation, to check…

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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Question

Use a stack implementation, to check that a given an arithmetic expression, that uses braces “{“ & ”}” or parenthesis ”(“ &, ”)” or brackets ”[“ & ”]” as grouping symbols, is using them in a matching and balanced way.

Hint: The book has an example function, called isBalance( ), that takes the input string as an argument and returns 0 if it is unbalanced or 1 if it is balanced.
(Examples below are given only for illustrative purposes, you may come up with your own.)

Examples, given for illustration of outcome
|Input: exp = "[ ()]0{[() (010}"
Output: Balanced
Input: exp = "[ (1".
Output: Not Balanced
Examples of other expressions
14* (6+5)
A- (C+B) /[12*D]
[8+ (38-14) -10]+12
{ 44-[8+(38-14)-10]+12}-7
(9/5) *celsius+32
3+4*4+5* (4+3) -1
(3+4*x)/5-10* (y-5) * (a+b+c) /x+9* (4/x+ (9+x}/y)
(A* [x^2] +{B*y}) +C

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