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The document provides an outline for a lecture on applications of stacks and queues, including syntax parsing, expression evaluation, backtracking, and printing jobs. It discusses infix, postfix, and prefix notation and how to convert between them using stacks. It also explains how to check parentheses in an expression and evaluate postfix expressions using stacks and queues.

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Unit 2 application of stack

The document discusses arithmetic expressions and how to evaluate them using stacks. It defines arithmetic expressions and their components. It then describes the rules for evaluating expressions, including order of operations. Different notation styles for expressions are introduced - infix, prefix and postfix. An algorithm is provided for converting infix expressions to postfix notation using a stack. Finally, the document explains how to evaluate a postfix expression using a stack.

Infix-Postfix expression conversion

The document discusses converting infix expressions to postfix expressions using a stack. It defines infix and postfix expressions, provides examples of each, and presents an algorithm that uses a stack to scan an infix expression from left to right and output an equivalent postfix expression. Key steps include pushing operators to the stack based on precedence and popping operators to the output when encountering operands and parentheses.

Lect-5 & 6.pptx

Queues are lists that follow a first-in, first-out (FIFO) policy for insertion and removal. Elements are inserted at the back of the queue and removed from the front. Common queue operations include enqueue, which adds an element to the back, and dequeue, which removes an element from the front. Queues can be implemented using arrays, with front and back pointers to track positions.

Application of Stack For Expression Evaluation by Prakash Zodge DSY 41.pptx

In short...The stack organization is very effective in evaluating arithmetic expressions. Expressions are usually represented in what is known as Infix notation, in which each operator is written between two operands (i.e., A + B)....

DS MOD2 (1) (1).pptx

The document discusses stacks and their implementation and applications. It describes stacks as linear data structures that follow the LIFO principle, and how they can be implemented using arrays. Key stack operations like push and pop are explained along with the concepts of overflow and underflow. Applications of stacks include evaluating postfix expressions, converting infix to postfix notation, and recursion. Algorithms for infix to postfix conversion and evaluating postfix expressions are provided with examples.

MO 2020 DS Stacks 3 AB.ppt

The document discusses evaluating arithmetic expressions in infix notation using stacks. It explains that two stacks will be used - an operand stack to store numbers and an operator stack to store operators. It then provides the step-by-step process for evaluating an expression using these stacks by popping operands, popping operators, and pushing results. An algorithm is given that iterates through the expression character by character, pushing operands and operators to the appropriate stacks according to precedence rules.

Data structure lab manual

The document describes implementing a queue using an array. It provides algorithms for enQueue() and deQueue() operations. EnQueue() inserts elements at the rear by incrementing rear and checking for full. DeQueue() deletes elements from the front by incrementing front and checking for empty. The queue uses front and rear pointers to manage insertion and deletion of elements based on FIFO principle using an underlying fixed-size array.

DS UNIT1_STACKS.pptx

The document discusses stacks and stack operations in C. It defines a stack as a linear data structure that follows the LIFO principle, where elements are added and removed from one end called the top. The key stack operations are PUSH to add an element, POP to remove an element, and DISPLAY to output the stack. It provides algorithms for implementing PUSH and POP and handling exceptions like stack overflow. The document also covers postfix notation, where operators follow operands, and the postfix evaluation algorithm using a stack.

Unit 2 application of stack

The document discusses arithmetic expressions and how to evaluate them using stacks. It defines arithmetic expressions and their components. It then describes the rules for evaluating expressions, including order of operations. Different notation styles for expressions are introduced - infix, prefix and postfix. An algorithm is provided for converting infix expressions to postfix notation using a stack. Finally, the document explains how to evaluate a postfix expression using a stack.

Infix-Postfix expression conversion

The document discusses converting infix expressions to postfix expressions using a stack. It defines infix and postfix expressions, provides examples of each, and presents an algorithm that uses a stack to scan an infix expression from left to right and output an equivalent postfix expression. Key steps include pushing operators to the stack based on precedence and popping operators to the output when encountering operands and parentheses.

Lect-5 & 6.pptx

Queues are lists that follow a first-in, first-out (FIFO) policy for insertion and removal. Elements are inserted at the back of the queue and removed from the front. Common queue operations include enqueue, which adds an element to the back, and dequeue, which removes an element from the front. Queues can be implemented using arrays, with front and back pointers to track positions.

Application of Stack For Expression Evaluation by Prakash Zodge DSY 41.pptx

In short...The stack organization is very effective in evaluating arithmetic expressions. Expressions are usually represented in what is known as Infix notation, in which each operator is written between two operands (i.e., A + B)....

DS MOD2 (1) (1).pptx

The document discusses stacks and their implementation and applications. It describes stacks as linear data structures that follow the LIFO principle, and how they can be implemented using arrays. Key stack operations like push and pop are explained along with the concepts of overflow and underflow. Applications of stacks include evaluating postfix expressions, converting infix to postfix notation, and recursion. Algorithms for infix to postfix conversion and evaluating postfix expressions are provided with examples.

MO 2020 DS Stacks 3 AB.ppt

The document discusses evaluating arithmetic expressions in infix notation using stacks. It explains that two stacks will be used - an operand stack to store numbers and an operator stack to store operators. It then provides the step-by-step process for evaluating an expression using these stacks by popping operands, popping operators, and pushing results. An algorithm is given that iterates through the expression character by character, pushing operands and operators to the appropriate stacks according to precedence rules.

Data structure lab manual

The document describes implementing a queue using an array. It provides algorithms for enQueue() and deQueue() operations. EnQueue() inserts elements at the rear by incrementing rear and checking for full. DeQueue() deletes elements from the front by incrementing front and checking for empty. The queue uses front and rear pointers to manage insertion and deletion of elements based on FIFO principle using an underlying fixed-size array.

DS UNIT1_STACKS.pptx

The document discusses stacks and stack operations in C. It defines a stack as a linear data structure that follows the LIFO principle, where elements are added and removed from one end called the top. The key stack operations are PUSH to add an element, POP to remove an element, and DISPLAY to output the stack. It provides algorithms for implementing PUSH and POP and handling exceptions like stack overflow. The document also covers postfix notation, where operators follow operands, and the postfix evaluation algorithm using a stack.

Infix postfixcoversion

Infix notation writes operators between operands, like A + B. Postfix writes operators after operands, like AB+. Prefix writes operators before operands, like +AB. To convert infix to postfix:
1. Scan the infix expression left to right for tokens
2. Append operands to the postfix string
3. Push operators and parentheses to the stack according to precedence rules
4. Pop operators from the stack and append to postfix when encountering closing parentheses
5. Pop all remaining operators from the stack and append to postfix when finished.

Stack

A stack is a data structure where items can only be inserted and removed from one end. The last item inserted is the first item removed (LIFO). Common examples include stacks of books, plates, or bank transactions. Key stack operations are push to insert, pop to remove, and functions to check if the stack is empty or full. Stacks can be used to implement operations like reversing a string, converting infix to postfix notation, and evaluating arithmetic expressions.

Infix to postfix conversion

The document discusses converting expressions from infix to postfix notation. In infix notation, operators are between operands. In postfix notation, operators follow operands. The algorithm scans the infix expression left to right, appending operands to the output and handling operators and parentheses by pushing/popping from a stack based on precedence. An example converts the infix expression A * (B + C) - D / E to postfix AB+C*+DE/-.

Unit II - LINEAR DATA STRUCTURES

This document discusses linear data structures, specifically stacks and queues. It defines a stack as a linear data structure that follows the LIFO principle and can be implemented using arrays or linked lists. Queue is defined as another linear data structure that follows the FIFO principle and supports enqueue and dequeue operations. Various queue implementations like array-based queues, linked list queues, circular queues, and priority queues are described along with their operations. Common applications of stacks and queues in areas like function calls, CPU scheduling, and page replacement algorithms are also mentioned.

Concept of stack ,stack of aaray stack by linked list , application of stac...

A stack is a linear data structure that follows the Last In, First Out (LIFO) principle, meaning the last element added to the stack is the first one to be removed. Elements can only be added or removed from the top of the stack. This structure resembles a stack of plates, where you can only add or remove plates from the top of the pile. Stacks are commonly used in computer science for tasks such as function call management, expression evaluation, and undo functionality in applications.

358 33 powerpoint-slides_9-stacks-queues_chapter-9

The document discusses stacks and queues as data structures. It begins by providing an introduction to stacks, describing them as linear data structures that follow the LIFO (last in, first out) principle. It then discusses various stack operations like push, pop, and peep using both array-based and linked implementations. The document also covers topics like multiple stacks, infix/postfix/prefix notation, and algorithms for converting infix to postfix notation and evaluating postfix expressions.

Stack

The document discusses stacks and their properties. It defines a stack as a linear data structure where items are inserted and deleted from one end, following the LIFO (last in, first out) principle. Stacks are commonly used in computer systems for tasks like compiler operations and process scheduling. The key stack operations are push to insert an item and pop to remove the top item.

Chapter 6 ds

This document discusses stacks and their applications. It begins with an introduction to stacks, describing them as data structures that follow the last-in, first-out (LIFO) principle. It then outlines stack operations like push, pop, top, and describes how stacks can be implemented using arrays or linked lists. Several applications of stacks are mentioned, including parenthesis matching, expression evaluation in postfix notation, handling function calls and returns, and undo sequences. Examples are provided to illustrate postfix notation, converting infix to postfix expressions, and evaluating postfix expressions using a stack.

16-StacksQueuesCVCJUCGTCXYFRSTTIUGIUFTY.ppt

HJDTYDFIOJKDCYTCFFBGGHX

Lecture6

The document discusses stacks and their implementation using either arrays or linked lists, noting the tradeoffs of each approach. It then covers using stacks to evaluate expressions in postfix notation by pushing operands onto the stack and applying operators to the top two elements before pushing the result back on. Finally, an example is given of evaluating the postfix expression 6 2 3 + - 3 8 2 / + * to demonstrate this process.

Prefix, Infix and Post-fix Notations

These slides are part of a full series of slides which covers almost all the basic concepts of data structures and algorithms.
Part 9

Evaluation of postfix expression

This document discusses postfix notation for evaluating mathematical expressions. It begins by explaining that postfix notation, also called reverse polish notation, writes operators after their operands. It then covers the precedence of operators in postfix notation and the fundamental principles of evaluating a postfix expression using a stack. Key advantages of postfix notation are that operator precedence is unnecessary and the order of evaluation is determined by the position of operators and operands. An example is provided to demonstrate how to manually evaluate a postfix expression step-by-step using a stack.

Infix to Postfix Conversion.pdf

The document discusses converting expressions from infix to postfix notation. It explains that infix notation uses operators between operands, while postfix notation places operators after operands. The algorithm for conversion involves scanning the infix expression token by token, appending operands to the output and handling operators and parentheses by pushing/popping a stack based on precedence. An example demonstrates applying the algorithm to convert the infix expression A * (B + C) - D / E to the postfix form ABC+*DE/-.

Stacks in c++

The document discusses stacks in C++. It defines a stack as a data structure that follows LIFO (Last In First Out) principle where the last element added is the first to be removed. Stacks can be implemented using arrays or linked lists. The key operations on a stack are push which adds an element and pop which removes an element. Example applications of stacks include function call stacks, converting infix to postfix notation, and reversing arrays.

Stack_Overview_Implementation_WithVode.pptx

The document discusses the stack data structure. A stack is a collection of elements that follow the LIFO (last-in, first-out) principle. Elements can be inserted and removed from the top of the stack only. Stacks have common applications like undo functions in text editors and web browser history. Formally, a stack is an abstract data type that supports push, pop, top, is_empty and length operations. The document provides examples and explanations of stack operations and applications like infix to postfix conversion, expression evaluation, balancing symbols, function calls and reversing a string.

The concept of stack is extremely important in computer science and .pdf

The concept of stack is extremely important in computer science and is used in a wide variety of
problems. This assignment requires you to write a program that can be used to evaluate ordinary
arithmetic expressions that contains any of the five arithmetic operators (+, -, *, /, %).
This exercise requires three distinct steps, namely:-
Verify that the infix arithmetic expression (the original expression), that may contain regular
parentheses, is properly formed as far as parentheses are concerned.
If the parenthesized expression is properly formed, convert the expression from an infix
expression to its equivalent postfix expression, called Reverse Polish Notation (RPN) named
after the Polish Mathematician J. Lukasiewics.
Evaluate the postfix expression, and print the result.
Step 1 - Verify that the expression
Given an arithmetic expression, called an infixed expression, to verify that it is properly formed
as far as parentheses are concerned, do the following:
Create an empty stack to hold left parenthesis ONLY.
Scanned the arithmetic expression from left to right, one character at a time.
While there are more characters in the arithmetic expression
{
If the character is a left parenthesis ‘(‘, push it on to the stack. However if the character is a right
parenthesis, ‘)’, visit the stack and pop the top element from off the stack.
}
If the stack contains any element at the end of reading the arithmetic expression, then the
expression was not properly formed.
Step 2 - Convert infixed expression to postfix
Given that an arithmetic expression is properly form with respect to parentheses, do the
following:
Create an empty stack to hold any arithmetic operators and left parenthesis, ONLY.
A string to contain the postfix expression – the output from this conversion.
Scan the arithmetic expression from left to right.
While the are more symbols in the arithmetic expression,
{
After a symbol is scanned, there are four (4) basic rules to observed and apply accordingly:
If the symbol is an operand (a number), write it to the output string.
If the symbol is an operator and if the stack is empty, push the symbol on the stack.
Otherwise, if the symbol is either ‘(‘ or ‘)’, check for the following conditions:
If the symbol is ‘(‘, push on to the stack,
Otherwise
If the symbol is ‘)’
{
Pop everything from the operator stack down to the first ‘(‘. Write each item
popped from the stack to the output string. Do not write the item ‘)’. Discard it.
}
If the symbol scanned is an arithmetic operator, check for the following and apply accordingly:
If the operator on the top of the stack has higher or equal precedence, that operator is popped
from off the stack, and is written to the to the output string. This process is continues until one of
two things happen:
Either the first ‘(‘ is encountered. When this occurs, the ‘(‘ is removed from the stack and is
discarded, and the recently scanned symbol is placed on the stack
OR
The operator on the stack has lower preced.

stack & queue

This document discusses stacks and queues as linear data structures. It defines stacks as last-in, first-out (LIFO) collections where the last item added is the first removed. Queues are first-in, first-out (FIFO) collections where the first item added is the first removed. Common stack and queue operations like push, pop, insert, and remove are presented along with algorithms and examples. Applications of stacks and queues in areas like expression evaluation, string reversal, and scheduling are also covered.

Stack and its operations, Queue and its operations

Kristu Jayanti College, Benagluru

Polish Notation In Data Structure

The document discusses different notation styles for representing arithmetic expressions, including infix, prefix, and postfix notations. It provides examples of converting expressions between these notations. Infix notation is the conventional style that humans use, but prefix and postfix notations are better suited for computer parsing. The document also covers parsing expressions, operator precedence, and the steps to convert between infix and prefix and infix and postfix notations.

week9-prefixinfixandpostfixnotations-191013065821.pptx

week9-prefixinfixandpostfixnotations-191013065821.pptx

0624.speakingengagementsandteaching-01.pdf

0624.speakingengagementsandteaching-01.pdf

All Of My Java Codes With A Sample Output.docx

Contains All of the Java Programs from Beginning to the Advanced Concepts that I had Practiced While Learning Java

Infix postfixcoversion

Infix notation writes operators between operands, like A + B. Postfix writes operators after operands, like AB+. Prefix writes operators before operands, like +AB. To convert infix to postfix:
1. Scan the infix expression left to right for tokens
2. Append operands to the postfix string
3. Push operators and parentheses to the stack according to precedence rules
4. Pop operators from the stack and append to postfix when encountering closing parentheses
5. Pop all remaining operators from the stack and append to postfix when finished.

Stack

A stack is a data structure where items can only be inserted and removed from one end. The last item inserted is the first item removed (LIFO). Common examples include stacks of books, plates, or bank transactions. Key stack operations are push to insert, pop to remove, and functions to check if the stack is empty or full. Stacks can be used to implement operations like reversing a string, converting infix to postfix notation, and evaluating arithmetic expressions.

Infix to postfix conversion

The document discusses converting expressions from infix to postfix notation. In infix notation, operators are between operands. In postfix notation, operators follow operands. The algorithm scans the infix expression left to right, appending operands to the output and handling operators and parentheses by pushing/popping from a stack based on precedence. An example converts the infix expression A * (B + C) - D / E to postfix AB+C*+DE/-.

Unit II - LINEAR DATA STRUCTURES

This document discusses linear data structures, specifically stacks and queues. It defines a stack as a linear data structure that follows the LIFO principle and can be implemented using arrays or linked lists. Queue is defined as another linear data structure that follows the FIFO principle and supports enqueue and dequeue operations. Various queue implementations like array-based queues, linked list queues, circular queues, and priority queues are described along with their operations. Common applications of stacks and queues in areas like function calls, CPU scheduling, and page replacement algorithms are also mentioned.

Concept of stack ,stack of aaray stack by linked list , application of stac...

A stack is a linear data structure that follows the Last In, First Out (LIFO) principle, meaning the last element added to the stack is the first one to be removed. Elements can only be added or removed from the top of the stack. This structure resembles a stack of plates, where you can only add or remove plates from the top of the pile. Stacks are commonly used in computer science for tasks such as function call management, expression evaluation, and undo functionality in applications.

358 33 powerpoint-slides_9-stacks-queues_chapter-9

The document discusses stacks and queues as data structures. It begins by providing an introduction to stacks, describing them as linear data structures that follow the LIFO (last in, first out) principle. It then discusses various stack operations like push, pop, and peep using both array-based and linked implementations. The document also covers topics like multiple stacks, infix/postfix/prefix notation, and algorithms for converting infix to postfix notation and evaluating postfix expressions.

Stack

The document discusses stacks and their properties. It defines a stack as a linear data structure where items are inserted and deleted from one end, following the LIFO (last in, first out) principle. Stacks are commonly used in computer systems for tasks like compiler operations and process scheduling. The key stack operations are push to insert an item and pop to remove the top item.

Chapter 6 ds

This document discusses stacks and their applications. It begins with an introduction to stacks, describing them as data structures that follow the last-in, first-out (LIFO) principle. It then outlines stack operations like push, pop, top, and describes how stacks can be implemented using arrays or linked lists. Several applications of stacks are mentioned, including parenthesis matching, expression evaluation in postfix notation, handling function calls and returns, and undo sequences. Examples are provided to illustrate postfix notation, converting infix to postfix expressions, and evaluating postfix expressions using a stack.

16-StacksQueuesCVCJUCGTCXYFRSTTIUGIUFTY.ppt

HJDTYDFIOJKDCYTCFFBGGHX

Lecture6

The document discusses stacks and their implementation using either arrays or linked lists, noting the tradeoffs of each approach. It then covers using stacks to evaluate expressions in postfix notation by pushing operands onto the stack and applying operators to the top two elements before pushing the result back on. Finally, an example is given of evaluating the postfix expression 6 2 3 + - 3 8 2 / + * to demonstrate this process.

Prefix, Infix and Post-fix Notations

These slides are part of a full series of slides which covers almost all the basic concepts of data structures and algorithms.
Part 9

Evaluation of postfix expression

This document discusses postfix notation for evaluating mathematical expressions. It begins by explaining that postfix notation, also called reverse polish notation, writes operators after their operands. It then covers the precedence of operators in postfix notation and the fundamental principles of evaluating a postfix expression using a stack. Key advantages of postfix notation are that operator precedence is unnecessary and the order of evaluation is determined by the position of operators and operands. An example is provided to demonstrate how to manually evaluate a postfix expression step-by-step using a stack.

Infix to Postfix Conversion.pdf

The document discusses converting expressions from infix to postfix notation. It explains that infix notation uses operators between operands, while postfix notation places operators after operands. The algorithm for conversion involves scanning the infix expression token by token, appending operands to the output and handling operators and parentheses by pushing/popping a stack based on precedence. An example demonstrates applying the algorithm to convert the infix expression A * (B + C) - D / E to the postfix form ABC+*DE/-.

Stacks in c++

The document discusses stacks in C++. It defines a stack as a data structure that follows LIFO (Last In First Out) principle where the last element added is the first to be removed. Stacks can be implemented using arrays or linked lists. The key operations on a stack are push which adds an element and pop which removes an element. Example applications of stacks include function call stacks, converting infix to postfix notation, and reversing arrays.

Stack_Overview_Implementation_WithVode.pptx

The document discusses the stack data structure. A stack is a collection of elements that follow the LIFO (last-in, first-out) principle. Elements can be inserted and removed from the top of the stack only. Stacks have common applications like undo functions in text editors and web browser history. Formally, a stack is an abstract data type that supports push, pop, top, is_empty and length operations. The document provides examples and explanations of stack operations and applications like infix to postfix conversion, expression evaluation, balancing symbols, function calls and reversing a string.

The concept of stack is extremely important in computer science and .pdf

The concept of stack is extremely important in computer science and is used in a wide variety of
problems. This assignment requires you to write a program that can be used to evaluate ordinary
arithmetic expressions that contains any of the five arithmetic operators (+, -, *, /, %).
This exercise requires three distinct steps, namely:-
Verify that the infix arithmetic expression (the original expression), that may contain regular
parentheses, is properly formed as far as parentheses are concerned.
If the parenthesized expression is properly formed, convert the expression from an infix
expression to its equivalent postfix expression, called Reverse Polish Notation (RPN) named
after the Polish Mathematician J. Lukasiewics.
Evaluate the postfix expression, and print the result.
Step 1 - Verify that the expression
Given an arithmetic expression, called an infixed expression, to verify that it is properly formed
as far as parentheses are concerned, do the following:
Create an empty stack to hold left parenthesis ONLY.
Scanned the arithmetic expression from left to right, one character at a time.
While there are more characters in the arithmetic expression
{
If the character is a left parenthesis ‘(‘, push it on to the stack. However if the character is a right
parenthesis, ‘)’, visit the stack and pop the top element from off the stack.
}
If the stack contains any element at the end of reading the arithmetic expression, then the
expression was not properly formed.
Step 2 - Convert infixed expression to postfix
Given that an arithmetic expression is properly form with respect to parentheses, do the
following:
Create an empty stack to hold any arithmetic operators and left parenthesis, ONLY.
A string to contain the postfix expression – the output from this conversion.
Scan the arithmetic expression from left to right.
While the are more symbols in the arithmetic expression,
{
After a symbol is scanned, there are four (4) basic rules to observed and apply accordingly:
If the symbol is an operand (a number), write it to the output string.
If the symbol is an operator and if the stack is empty, push the symbol on the stack.
Otherwise, if the symbol is either ‘(‘ or ‘)’, check for the following conditions:
If the symbol is ‘(‘, push on to the stack,
Otherwise
If the symbol is ‘)’
{
Pop everything from the operator stack down to the first ‘(‘. Write each item
popped from the stack to the output string. Do not write the item ‘)’. Discard it.
}
If the symbol scanned is an arithmetic operator, check for the following and apply accordingly:
If the operator on the top of the stack has higher or equal precedence, that operator is popped
from off the stack, and is written to the to the output string. This process is continues until one of
two things happen:
Either the first ‘(‘ is encountered. When this occurs, the ‘(‘ is removed from the stack and is
discarded, and the recently scanned symbol is placed on the stack
OR
The operator on the stack has lower preced.

stack & queue

This document discusses stacks and queues as linear data structures. It defines stacks as last-in, first-out (LIFO) collections where the last item added is the first removed. Queues are first-in, first-out (FIFO) collections where the first item added is the first removed. Common stack and queue operations like push, pop, insert, and remove are presented along with algorithms and examples. Applications of stacks and queues in areas like expression evaluation, string reversal, and scheduling are also covered.

Stack and its operations, Queue and its operations

Kristu Jayanti College, Benagluru

Polish Notation In Data Structure

The document discusses different notation styles for representing arithmetic expressions, including infix, prefix, and postfix notations. It provides examples of converting expressions between these notations. Infix notation is the conventional style that humans use, but prefix and postfix notations are better suited for computer parsing. The document also covers parsing expressions, operator precedence, and the steps to convert between infix and prefix and infix and postfix notations.

week9-prefixinfixandpostfixnotations-191013065821.pptx

week9-prefixinfixandpostfixnotations-191013065821.pptx

Infix postfixcoversion

Infix postfixcoversion

Stack

Stack

Infix to postfix conversion

Infix to postfix conversion

Unit II - LINEAR DATA STRUCTURES

Unit II - LINEAR DATA STRUCTURES

Concept of stack ,stack of aaray stack by linked list , application of stac...

Concept of stack ,stack of aaray stack by linked list , application of stac...

358 33 powerpoint-slides_9-stacks-queues_chapter-9

358 33 powerpoint-slides_9-stacks-queues_chapter-9

Stack

Stack

Chapter 6 ds

Chapter 6 ds

16-StacksQueuesCVCJUCGTCXYFRSTTIUGIUFTY.ppt

16-StacksQueuesCVCJUCGTCXYFRSTTIUGIUFTY.ppt

Lecture6

Lecture6

Prefix, Infix and Post-fix Notations

Prefix, Infix and Post-fix Notations

Evaluation of postfix expression

Evaluation of postfix expression

Infix to Postfix Conversion.pdf

Infix to Postfix Conversion.pdf

Stacks in c++

Stacks in c++

Stack_Overview_Implementation_WithVode.pptx

Stack_Overview_Implementation_WithVode.pptx

The concept of stack is extremely important in computer science and .pdf

The concept of stack is extremely important in computer science and .pdf

stack & queue

stack & queue

Stack and its operations, Queue and its operations

Stack and its operations, Queue and its operations

Polish Notation In Data Structure

Polish Notation In Data Structure

week9-prefixinfixandpostfixnotations-191013065821.pptx

week9-prefixinfixandpostfixnotations-191013065821.pptx

0624.speakingengagementsandteaching-01.pdf

0624.speakingengagementsandteaching-01.pdf

All Of My Java Codes With A Sample Output.docx

Contains All of the Java Programs from Beginning to the Advanced Concepts that I had Practiced While Learning Java

How to overcome obstacles in the way of success.pdf

Success is often not achievable without facing and overcoming obstacles along the way. To reach our goals and achieve success, it is important to understand and resolve the obstacles that come in our way.
In this article, we will discuss the various obstacles that hinder success, strategies to overcome them, and examples of individuals who have successfully surmounted their obstacles.

Community Skills Building Workshop | PMI Silver Spring Chapter | June 12, 2024

Community Skills Building Workshop | PMI Silver Spring Chapter | June 12, 2024Hector Del Castillo, CPM, CPMM

We recently hosted the much-anticipated Community Skill Builders Workshop during our June online meeting. This event was a culmination of six months of listening to your feedback and crafting solutions to better support your PMI journey. Here’s a look back at what happened and the exciting developments that emerged from our collaborative efforts.
A Gathering of Minds
We were thrilled to see a diverse group of attendees, including local certified PMI trainers and both new and experienced members eager to contribute their perspectives. The workshop was structured into three dynamic discussion sessions, each led by our dedicated membership advocates.
Key Takeaways and Future Directions
The insights and feedback gathered from these discussions were invaluable. Here are some of the key takeaways and the steps we are taking to address them:
• Enhanced Resource Accessibility: We are working on a new, user-friendly resource page that will make it easier for members to access training materials and real-world application guides.
• Structured Mentorship Program: Plans are underway to launch a mentorship program that will connect members with experienced professionals for guidance and support.
• Increased Networking Opportunities: Expect to see more frequent and varied networking events, both virtual and in-person, to help you build connections and foster a sense of community.
Moving Forward
We are committed to turning your feedback into actionable solutions that enhance your PMI journey. This workshop was just the beginning. By actively participating and sharing your experiences, you have helped shape the future of our Chapter’s offerings.
Thank you to everyone who attended and contributed to the success of the Community Skill Builders Workshop. Your engagement and enthusiasm are what make our Chapter strong and vibrant. Stay tuned for updates on the new initiatives and opportunities to get involved. Together, we are building a community that supports and empowers each other on our PMI journeys.
Stay connected, stay engaged, and let’s continue to grow together!
About PMI Silver Spring Chapter
We are a branch of the Project Management Institute. We offer a platform for project management professionals in Silver Spring, MD, and the DC/Baltimore metro area. Monthly meetings facilitate networking, knowledge sharing, and professional development. For more, visit pmissc.org.Gabrielle M. A. Sinaga Portfolio, Film Student (2024)

My portfolio as a highly motivated film student pursuing a career in Yogyakarta.

在线办理(UOIT毕业证书)安大略省理工大学毕业证在读证明一模一样

原件一模一样【微信：bwp0011】《(UOIT毕业证书)安大略省理工大学毕业证》【微信：bwp0011】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问微bwp0011
【主营项目】
一.毕业证【微bwp0011】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【微bwp0011】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才

一比一原版美国西北大学毕业证(NWU毕业证书)学历如何办理

原版办理【微信号:BYZS866】【美国西北大学毕业证(NWU毕业证书)】【微信号:BYZS866】《成绩单、外壳、雅思、offer、真实留信官方学历认证（永久存档/真实可查）》采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【我们承诺采用的是学校原版纸张（纸质、底色、纹路）我们拥有全套进口原装设备，特殊工艺都是采用不同机器制作，仿真度基本可以达到100%，所有工艺效果都可提前给客户展示，不满意可以根据客户要求进行调整，直到满意为止！】
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信号BYZS866】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信号BYZS866】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
留信网服务项目：
1、留学生专业人才库服务（留信分析）
2、国（境）学习人员提供就业推荐信服务
3、留学人员区块链存储服务
【关于价格问题（保证一手价格）】
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：客户在留信官方认证查询网站查询到认证通过结果后付款，不成功不收费！

Leadership Ambassador club Adventist module

Aims to equip people who aspire to become leaders with good qualities,and with Christian values and morals as per Biblical teachings.The you who aspire to be leaders should first read and understand what the ambassador module for leadership says about leadership and marry that to what the bible says.Christians sh

一比一原版布拉德福德大学毕业证（bradford毕业证）如何办理

一模一样【微信：A575476】【布拉德福德大学毕业证（bradford毕业证）成绩单Offer】【微信：A575476】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：A575476】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：A575476】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！

办理阿卡迪亚大学毕业证（uvic毕业证）本科文凭证书原版一模一样

原版一模一样【微信：741003700 】【阿卡迪亚大学毕业证（uvic毕业证）本科文凭证书】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才

Lbs last rank 2023 9988kr47h4744j445.pdf

Last rank lbs 2k23

按照学校原版(UofT文凭证书)多伦多大学毕业证快速办理

快速办理【(UofT毕业证书)多伦多大学毕业证】【176555708微信号】硕士毕业证成绩单、外壳、offer、留信学历认证（永久存档真实可查）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【我们承诺采用的是学校原版纸张（纸质、底色、纹路），我们拥有全套进口原装设备，特殊工艺都是采用不同机器制作，仿真度基本可以达到100%，所有工艺效果都可提前给客户展示，不满意可以根据客户要求进行调整，直到满意为止！】
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信176555708】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信176555708】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
留信网服务项目：
1、留学生专业人才库服务（留信分析）
2、国（境）学习人员提供就业推荐信服务
3、留学人员区块链存储服务
→ 【关于价格问题（保证一手价格）】
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：客户在留信官方认证查询网站查询到认证通过结果后付款，不成功不收费！

Learnings from Successful Jobs Searchers

Are you interested to know what actions help in a job search? This webinar is the summary of several individuals who discussed their job search journey for others to follow. You will learn there are common actions that helped them succeed in their quest for gainful employment.

体育博彩论坛-十大体育博彩论坛-体育博彩论坛|【网址🎉ac55.net🎉】

在体育博彩论坛，你会发现数之不尽的在线博彩机会，包括世界各地的精彩体育赛事以及绝佳的赔率。此外，体育博彩论坛还会为你提供诸如赌场、宾果和扑克等在线游戏以及各种各样的奖金优惠，包括体育博彩论坛的免费投注。无论你是忠实的足球迷，或者是二十一点的专业玩家，在这里都可以找到你最感兴趣的投注市场或游戏。

A Guide to a Winning Interview June 2024

This webinar is an in-depth review of the interview process. Preparation is a key element to acing an interview. Learn the best approaches from the initial phone screen to the face-to-face meeting with the hiring manager. You will hear great answers to several standard questions, including the dreaded “Tell Me About Yourself”.

官方认证美国旧金山州立大学毕业证学位证书案例原版一模一样

原版一模一样【微信：741003700 】【美国旧金山州立大学毕业证学位证书】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才

Switching Careers Slides - JoyceMSullivan SocMediaFin - 2024Jun11.pdf

Joyce M Sullivan, Founder & CEO of SocMediaFin, Inc. shares her "Five Questions - The Story of You", "Reflections - What Matters to You?" and "The Three Circle Exercise" to guide those evaluating what their next move may be in their careers.

Connect to Grow: The power of building networks

In the intricate tapestry of life, connections serve as the vibrant threads that weave together opportunities, experiences, and growth. Whether in personal or professional spheres, the ability to forge meaningful connections opens doors to a multitude of possibilities, propelling individuals toward success and fulfillment.
Eirini is an HR professional with strong passion for technology and semiconductors industry in particular. She started her career as a software recruiter in 2012, and developed an interest for business development, talent enablement and innovation which later got her setting up the concept of Software Community Management in ASML, and to Developer Relations today. She holds a bachelor degree in Lifelong Learning and an MBA specialised in Strategic Human Resources Management. She is a world citizen, having grown up in Greece, she studied and kickstarted her career in The Netherlands and can currently be found in Santa Clara, CA.

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- 1. Stack & QueueApplications Course Code: CSC 2106 Dept. of Computer Science Faculty of Science and Technology Lecturer No: 4.2 Week No: 5 Semester: Spring 20-21 Lecturer: Nazia Alfaz nazia.alfaz@aiub.edu Course Title: Data Structure (Theory)
- 2. Lecture Outline 1. Applications of Stack & Queue 2. Algebraic Expression 3. Infix, Postfix, Prefix 4. Infix 5. Operator Precedence and Associativity 6. Infix Expression is Hard to Parse 7. Examples of Infix to Postfix & Prefix 8. Parentheses Check Using Stack 9. Converting Postfix Expression Using Stack & Queue 10. Evaluating Postfix Expression Using Stack & Queue 11. Books 2. References
- 3. Applications of Stack & Queue Syntax parsing, Parenthesis check [Stack] Expression evaluation and Expression conversion. [Stack & Queue] [Can also be achieved using only Stack] Banking Transaction View [Stack] You view the last transaction first. Backtracking and implementation of recursive function, calling function. [Stack] Towers of Hanoi [Stack] Keeping Track of Printing Jobs [Queue]
- 4. Algebraic Expression An algebraic expression is a legal combination of operands and the operators. Operand is the quantity (unit of data) on which a mathematical operation is performed. Operand may be a variable like x,y,z or a constant like 5,4,0,9,1 etc. Operator is a symbol which signifies a mathematical or logical operation between the operands. Example of familiar operators include +,-,*,/,^,% Considering these definitions of operands and operators now we can write an example of expression as: x + y * z
- 5. Infix, Postfix and Prefix Expressions INFIX: The expressions in which operands surround the operator, i.e. operator is in between the operands. e.g. x+y, 6*3 etc. The infix notation is the general way we write an expression. POSTFIX: Also Known as Reverse Polish Notation (RPN). The operator comes after the operands, i.e. operator comes post of the operands, so the name postfix. e.g. xy+, xyz+* etc. PREFIX: Also Known as Polish notation. The operator comes before the operands, i.e. operator comes pre of the operands, so the name prefix. e.g. +xy, *+xyz etc.
- 6. Infix To our surprise INFIX notations are not as simple as they seem specially while evaluating them. To evaluate an infix expression we need to consider Operators’ Precedence and Associative property For example expression 3+5*4 evaluate to 32 = (3+5)*4 or 23 = 3+(5*4) Operator precedence and associativity governs the evaluation order of an expression. An operator with higher precedence is applied before an operator with lower precedence. Same precedence order operator is evaluated according to their associativity order.
- 7. Infix To our surprise INFIX notations are not as simple as they seem specially while evaluating them. To evaluate an infix expression we need to consider Operators’ Precedence and Associative property For example expression 3+5*4 evaluate to 32 = (3+5)*4 - Wrong or 23 = 3+(5*4) - Correct Operator precedence and associativity governs the evaluation order of an expression. An operator with higher precedence is applied before an operator with lower precedence. Same precedence order operator is evaluated according to their associativity order.
- 10. Infix Expression Is HardTo Parse Need operator priorities, tie breaker, and delimiters. This makes the evaluation of expression more difficult than is necessary for the processor. Both prefix and postfix notations have an advantage over infix that while evaluating an expression in prefix or postfix form we need not consider the Precedence and Associative property. The expression is scanned from user in infix form; it is converted into prefix or postfix form and then evaluated without considering the parenthesis and priority of the operators. So, it is easier (complexity wise) for the processor to evaluate expressions that are in these forms.
- 11. Infix PostFix Prefix A+B AB+ +AB (A+B) * (C + D) AB+CD+* *+AB+CD A-B/(C*D^E) ABCDE^*/- -A/B*C^DE ABCDE^* / - A - B/ ( C*D^E ) A- B/ ( C*F ) A- B/G A-H I ABCF* / - D E ^ C F * ABG/ - B G / AH- A H - I - A/B*C^DE D E ^ C F * B G / A H - I - A/B*CF - A/BG - AH Examples of infix to prefix and postfix
- 12. Evaluation Infix Postfix Prefix (X+Y) * (M-N) XY+MN-* *+XY-MN (2+4) * (8-6) 24+86-* *+24-86 6*2 62* *62 12 12 12 Let, X=2; Y=4; M=8; N=6 Infix = <operand> <operator> <operand> Postfix = <operand> <operand> <operator> Prefix = <operator> <operand> <operand>
- 13. Parentheses Check Using Stack Using Stack, we can check whether an expression has its parenthesis properly placed; i.e., whether its opening and closing parentheses match with each other. For example, let’s take the expression (x{x[]}x) We will read the expression as a string and for each character we will do the following three things: 1. Whenever we get an opening parenthesis, we will push it into the stack. 2. When we get a closing parenthesis we will check that with the top of the stack. If the top of the stack has the same type of opening parenthesis, we will pop it. 3. We skip the character in the string which is not a parenthesis. Finally if you have reached the end of the expression and the stack is also empty, that means the expression is “well formed”. In any other case, the expression is “not well formed”.
- 14. Parentheses Check Using Stack (x{x[]}x) We will read the expression as a string and for each character we will do the following three things: 1. Whenever we get an opening parenthesis, we will push it into the stack. 2. When we get a closing parenthesis we will check that with the top of the stack. If the top of the stack has the same type of parenthesis but an opening one, we will pop it. 3. We skip the character in the string which is not a parenthesis. This expression is “well formed”
- 15. 2 * 6 / ( 4 - 1 ) + Infix Expression: 2*6/(4-1)+5*3 Add ')' to the end of Infix; Push( '(' ); do{ OP = next symbol from left of Infix; if OP is OPERAND then EnQueue( OP ); else if OP is OPERATOR then{ if OP = '(' then Push( OP ); else if OP = ')' then{ while TopElement() != '(' do{ Enqueue(TopElement()); Pop(); } Pop(); }else{ while Precedence( OP ) <= Precedence( TopElement() ) do{ Enqueue(TopElement()); Pop(); } Push( OP ); } }while !IsEmpty(); Infix Postfix Stack 2 * 6 / ( 4 - 1 ) + 2 6 * 4 1 - / 5 3 * + * ( - * / + OPERATOR OPERAND / = StackTop( * ) * StackTop( ( ) / StackTop( ( ) ( ) + < StackTop( / ) + StackTop( ( ) * StackTop( + ) End of Expression ( - StackTop( ( ) Converting Infix to Postfix Using Stack & Queue
- 16. 2 6 * 4 1 - / 5 3 * + ) Evaluating Postfix Expression Using Stack & Queue Postfix Expression: 26*41-/53*+ EnQueue( ')' ); while ( FrontElement() != ')' ) do{ OP = FrontElement(); DeQueue(); if OP is OPERAND then Push( OP ); else if OP is OPERATOR then{ OperandRight = TopElement(); Pop(); OperandLeft = TopElement(); Pop(); x = Evaluate(OperandLeft, OP, OperandRight); Push(x); } } Result = TopElement(); Pop(); cout << Result; Postfix Stack 2 6 * 4 1 - / 5 3 * + 2 4 1 3 6 12 OPERATOR OPERAND Evaluate( 2, '*', 6 ) = 12 Evaluate( 4, '+', 15 ) = 19 ‘)‘ Evaluate( 5, '*', 3 ) = 15 Evaluate( 12, '/', 3 ) = 4 Evaluate( 4, '-', 1 ) = 3 End of Expression ) 4 5 3 15 19 Expression Result = 19
- 17. Books “Schaum's Outline of Data Structures with C++”. By John R. Hubbard “Data Structures and Program Design”, Robert L. Kruse, 3rd Edition, 1996. “Data structures, algorithms and performance”, D. Wood, Addison-Wesley, 1993 “Advanced Data Structures”, Peter Brass, Cambridge University Press, 2008 “Data Structures and Algorithm Analysis”, Edition 3.2 (C++ Version), Clifford A. Shaffer, Virginia Tech, Blacksburg, VA 24061 January 2, 2012 “C++ Data Structures”, Nell Dale and David Teague, Jones and Bartlett Publishers, 2001. “Data Structures and Algorithms with Object-Oriented Design Patterns in C++”, Bruno R. Preiss,