3. The ADT stack lets you peek at its top entry without removing it. For some applications of stacks, you also need to peek at the entry beneath the top entry without removing it. We will call such an operation peek2. If the stack has more than one entry, peek2 returns the second entry from the top without altering the stack. If the stack has fewer than two entries, peek2 throws an exception. Write a linked implementation of a stack that includes a method peek2

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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### Advanced Data Structures - Stack Operations

#### Problem Statement: 

The ADT (Abstract Data Type) stack allows you to examine its top entry without removing it. In some stack applications, it's necessary to also peek at the entry just below the top without removing it. We will refer to this operation as `peek2`. 

- **`peek2` Operation**: 
  - If the stack contains more than one entry, `peek2` will return the second entry from the top without altering the stack.
  - If the stack contains fewer than two entries, `peek2` will throw an exception.

Your task is to write a linked implementation of a stack that includes the `peek2` method.

In summary, this problem involves creating a stack data structure with an additional capability. While traditional stack operations such as `push`, `pop`, and `peek` are commonly known, this task requires a slightly enhanced version to cater to specific use cases where accessing the second item is crucial without altering the stack.

The linked implementation refers to using a linked list structure where each node points to the next node in the sequence, thus allowing dynamic memory allocation that can easily grow or shrink as per the requirements. 

--- 

### Linked Implementation of Stack with peek2 Method

Below is an example implementation of a stack with the `peek2` functionality using a singly linked list in Python.

```python
class Node:
    def __init__(self, data):
        self.data = data
        self.next = None


class Stack:
    def __init__(self):
        self.top = None
    
    def is_empty(self):
        return self.top is None

    def push(self, data):
        new_node = Node(data)
        new_node.next = self.top
        self.top = new_node

    def pop(self):
        if self.is_empty():
            raise Exception("Stack is empty")
        data = self.top.data
        self.top = self.top.next
        return data

    def peek(self):
        if self.is_empty():
            raise Exception("Stack is empty")
        return self.top.data

    def peek2(self):
        if self.is_empty() or self.top.next is None:
            raise Exception("Stack has fewer than two entries")
        return self.top.next.data


# Example Usage:
stack = Stack()
stack.push(10)
stack.push(20)
stack.push(30)

print(stack.peek())   # Output: 30
print(stack
Transcribed Image Text:### Advanced Data Structures - Stack Operations #### Problem Statement: The ADT (Abstract Data Type) stack allows you to examine its top entry without removing it. In some stack applications, it's necessary to also peek at the entry just below the top without removing it. We will refer to this operation as `peek2`. - **`peek2` Operation**: - If the stack contains more than one entry, `peek2` will return the second entry from the top without altering the stack. - If the stack contains fewer than two entries, `peek2` will throw an exception. Your task is to write a linked implementation of a stack that includes the `peek2` method. In summary, this problem involves creating a stack data structure with an additional capability. While traditional stack operations such as `push`, `pop`, and `peek` are commonly known, this task requires a slightly enhanced version to cater to specific use cases where accessing the second item is crucial without altering the stack. The linked implementation refers to using a linked list structure where each node points to the next node in the sequence, thus allowing dynamic memory allocation that can easily grow or shrink as per the requirements. --- ### Linked Implementation of Stack with peek2 Method Below is an example implementation of a stack with the `peek2` functionality using a singly linked list in Python. ```python class Node: def __init__(self, data): self.data = data self.next = None class Stack: def __init__(self): self.top = None def is_empty(self): return self.top is None def push(self, data): new_node = Node(data) new_node.next = self.top self.top = new_node def pop(self): if self.is_empty(): raise Exception("Stack is empty") data = self.top.data self.top = self.top.next return data def peek(self): if self.is_empty(): raise Exception("Stack is empty") return self.top.data def peek2(self): if self.is_empty() or self.top.next is None: raise Exception("Stack has fewer than two entries") return self.top.next.data # Example Usage: stack = Stack() stack.push(10) stack.push(20) stack.push(30) print(stack.peek()) # Output: 30 print(stack
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