1. Scan P from left to right and repeat Steps 3 to 6 for each element of P until the stack is empty. 2. If an operand is encountered, add it to Q. 3. If a left parenthesis is encountered, push it onto stack. 4. If an operator & is encountered, then: (a) Repeatedly pop from stack and add to Q each operator (on the which has the same precedence as, or higher precedence than O. (b) Add O to stack. 5. If a right parenthesis is encountered, then: (a) Repeatedly pop from stack and add to Q (on the top of stack until a left parenthesis is top of stack), encountered. (b) Remove the left parenthesis. [Do not add the left parenthesis to stack.] 6. Exit.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter18: Stacks And Queues
Section: Chapter Questions
Problem 1TF
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1. Scan P from left to right and repeat Steps 3 to 6 for each element of P until the stack is
empty.
2. If an operand is encountered, add it to Q.
3. If a left parenthesis is encountered, push it onto stack.
4. If an operator O is encountered, then:
(a) Repeatedly pop from stack and add to Q each operator (on the top of stack),
which has the same precedence as, or higher precedence than 8.
(b) Add O to stack.
5. If a right parenthesis is encountered, then:
(a) Repeatedly pop from stack and add to Q (on the top of stack until a left parenthesis is
encountered.
(b) Remove the left parenthesis. [Do not add the left parenthesis to stack.]
6. Exit.
Note. Special character O is used to symbolize any operator in P.
Consider the following arithmetic infix expression P
P = A + (B/C -(D*E^F ) + G) * H)
H.W. Write a C++ program to implement the algorithm above (converting infix to postfix
algorithm).
Transcribed Image Text:1. Scan P from left to right and repeat Steps 3 to 6 for each element of P until the stack is empty. 2. If an operand is encountered, add it to Q. 3. If a left parenthesis is encountered, push it onto stack. 4. If an operator O is encountered, then: (a) Repeatedly pop from stack and add to Q each operator (on the top of stack), which has the same precedence as, or higher precedence than 8. (b) Add O to stack. 5. If a right parenthesis is encountered, then: (a) Repeatedly pop from stack and add to Q (on the top of stack until a left parenthesis is encountered. (b) Remove the left parenthesis. [Do not add the left parenthesis to stack.] 6. Exit. Note. Special character O is used to symbolize any operator in P. Consider the following arithmetic infix expression P P = A + (B/C -(D*E^F ) + G) * H) H.W. Write a C++ program to implement the algorithm above (converting infix to postfix algorithm).
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