![Database System Concepts](https://www.bartleby.com/isbn_cover_images/9780078022159/9780078022159_smallCoverImage.jpg)
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Question
Hello please answer the following question. Was really stuck on this one :( Thank you so much!
![**Implementing Two Stacks in a Single Array**
To implement two stacks using a single array `A[1..n]`, you can use a two-pointer approach to ensure that neither stack overflows unless their combined total of elements is `n`. This setup also ensures that the push and pop operations run in O(1) time.
**Approach:**
1. **Initialization:**
- Use a single array `A[1..n]`.
- Initialize two pointers:
- `top1` starting at the beginning of the array (index 0).
- `top2` starting at the end of the array (index n-1).
2. **Push Operation:**
- **Stack 1 (`Push1`):** Add an element to the position `top1` and then increment `top1`.
- **Stack 2 (`Push2`):** Add an element to the position `top2` and then decrement `top2`.
3. **Pop Operation:**
- **Stack 1 (`Pop1`):** Decrement `top1` and then return the element at the new `top1` position.
- **Stack 2 (`Pop2`):** Increment `top2` and then return the element at the new `top2` position.
4. **Overflow Condition:**
- If `top1` exceeds `top2`, it means the array is full, and no more elements can be pushed into either stack.
**Examples:**
- **Example 1:**
1. Push an element onto Stack 1 by placing it at `A[top1]` and increment `top1`.
2. Push an element onto Stack 2 by placing it at `A[top2]` and decrement `top2`.
3. If `top1` becomes greater than `top2`, both stacks are full.
- **Example 2:**
- Start: `top1 = 0`, `top2 = n-1`.
- Sequence: Push elements `1, 2, 3` onto Stack 1 and `10, 9, 8` onto Stack 2.
- Final: `top1` could be `3`, `top2` could be `n-4` (assuming indices 3 and n-4 do not cross).
This dual stack implementation using an array](https://content.bartleby.com/qna-images/question/a915eca5-a375-4407-baf7-5d027bfcf23f/03ab325e-1fd3-45f4-84b3-ffbda0a575af/34lu32v_thumbnail.png)
Transcribed Image Text:**Implementing Two Stacks in a Single Array**
To implement two stacks using a single array `A[1..n]`, you can use a two-pointer approach to ensure that neither stack overflows unless their combined total of elements is `n`. This setup also ensures that the push and pop operations run in O(1) time.
**Approach:**
1. **Initialization:**
- Use a single array `A[1..n]`.
- Initialize two pointers:
- `top1` starting at the beginning of the array (index 0).
- `top2` starting at the end of the array (index n-1).
2. **Push Operation:**
- **Stack 1 (`Push1`):** Add an element to the position `top1` and then increment `top1`.
- **Stack 2 (`Push2`):** Add an element to the position `top2` and then decrement `top2`.
3. **Pop Operation:**
- **Stack 1 (`Pop1`):** Decrement `top1` and then return the element at the new `top1` position.
- **Stack 2 (`Pop2`):** Increment `top2` and then return the element at the new `top2` position.
4. **Overflow Condition:**
- If `top1` exceeds `top2`, it means the array is full, and no more elements can be pushed into either stack.
**Examples:**
- **Example 1:**
1. Push an element onto Stack 1 by placing it at `A[top1]` and increment `top1`.
2. Push an element onto Stack 2 by placing it at `A[top2]` and decrement `top2`.
3. If `top1` becomes greater than `top2`, both stacks are full.
- **Example 2:**
- Start: `top1 = 0`, `top2 = n-1`.
- Sequence: Push elements `1, 2, 3` onto Stack 1 and `10, 9, 8` onto Stack 2.
- Final: `top1` could be `3`, `top2` could be `n-4` (assuming indices 3 and n-4 do not cross).
This dual stack implementation using an array
Expert Solution
![Check Mark](/static/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
![Blurred answer](/static/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Similar questions
Recommended textbooks for you
- Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
- C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
![Text book image](https://www.bartleby.com/isbn_cover_images/9780078022159/9780078022159_smallCoverImage.jpg)
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134444321/9780134444321_smallCoverImage.gif)
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9780132737968/9780132737968_smallCoverImage.gif)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9780133976892/9780133976892_smallCoverImage.gif)
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337627900/9781337627900_smallCoverImage.gif)
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9780073373843/9780073373843_smallCoverImage.gif)
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education