Programming Assignment # 3 Objective: To use stacks to solve a programming problem Write a Java program to evaluate infix expression (not necessarily fully parenthesized) using stacks. The priority of operators shall be taken into account. See https://en.wikipedia.org/wiki/Infix_notation for an example of an infix notation. Tip: You would probably need two stacks (a stack for numbers and stack for characters).  Input: The program should ask the user to input the infix expression Output: The result of the calculation Assumptions: • You can use the Stack implementation of the Java API, or use one of the ones we have covered in class. • Assume that the input expressions contain only positive integer values, and that the output is always an integer.  • The input that the user types can contain any string with the following characters: ( , ) , numbers operators, where numbers is any positive integer and operators are any of +, -, * , / • Your program assumes that the expression is well-formed, but must check is the parenthesis are balanced. If parenthesis are not balanced, then the program stops and tell the user that there was an error (you may want to use a stack for this as well).

C++ Programming: From Problem Analysis to Program Design
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Author:D. S. Malik
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Chapter18: Stacks And Queues
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Programming Assignment # 3

Objective: To use stacks to solve a programming problem

Write a Java program to evaluate infix expression (not necessarily fully parenthesized) using stacks. The priority of operators shall be taken into account. See https://en.wikipedia.org/wiki/Infix_notation for an example of an infix notation.

Tip: You would probably need two stacks (a stack for numbers and stack for characters). 

Input: The program should ask the user to input the infix expression

Output: The result of the calculation

Assumptions:

• You can use the Stack implementation of the Java API, or use one of the ones we have covered in class.

• Assume that the input expressions contain only positive integer values, and that the output is always an integer. 

• The input that the user types can contain any string with the following characters: ( , ) , numbers operators, where numbers is any positive integer and operators are any of +, -, * , /

• Your program assumes that the expression is well-formed, but must check is the parenthesis are balanced. If parenthesis are not balanced, then the program stops and tell the user that there was an error (you may want to use a stack for this as well).

 

 

Example of execution:

 

Example # 1

****Welcome to infix evaluator ****

Type an infix expression: (4+5*6)/2 

Parenthesis are balanced

The result of the expression is: 17

****Program ends****** 

Example # 2

****Welcome to infix evaluator ****

Type an infix expression: (4+5*6/2 

Parenthesis are not balanced. Run and type again your infix expression.

****Program ends******

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