Balancing Parenthesis Input Output ((())) Balance (())) Unbalance (()()(())) Balance Given a sequence consisting of parentheses, determine whether the expression is balanced. A sequence of parentheses is balanced if every open parenthesis can be paired uniquely with a closing parenthesis that occurs after the former. Algorithm: Create an empty stack using list. Allow user to enter the set of parentheses in string format Read each character of the string (parentheses) from left to right If the character is an open parenthesis then push It onto the stack Else check stack if empty       If yes then Print a message “Unbalance” and exit loop       If no pop once and proceed to the next step Repeat step 3 steps until the last parenthesis. Check stack. If empty then print message “Balance” else “Unbalance”  Note: Assuming all inputs are valid. Error and exception handling not needed

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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Balancing Parenthesis

Input

Output

((()))

Balance

(()))

Unbalance

(()()(()))

Balance

Given a sequence consisting of parentheses, determine whether the expression is balanced. A sequence of parentheses is balanced if every open parenthesis can be paired uniquely with a closing parenthesis that occurs after the former.

Algorithm:

  • Create an empty stack using list.
  • Allow user to enter the set of parentheses in string format
  • Read each character of the string (parentheses) from left to right

If the character is an open parenthesis then push It onto the stack

Else check stack if empty

      If yes then Print a message “Unbalance” and exit loop

      If no pop once and proceed to the next step

  • Repeat step 3 steps until the last parenthesis.
  • Check stack. If empty then print message “Balance” else “Unbalance”

 Note: Assuming all inputs are valid. Error and exception handling not needed

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