What is a significant advantage of implementing multiple stacks within a single array compared to using separate arrays for each stack?
Reduced space complexity, especially when stack sizes are unpredictable.
Improved time complexity for push and pop operations.
Simplified implementation due to using a single data structure.
Enhanced security by isolating individual stacks within the array.
Which of these scenarios would particularly benefit from using a persistent stack?
Managing function call stacks in a recursive algorithm.
Storing a dynamically changing list of tasks in a to-do app.
Implementing undo/redo functionality in a text editor.
Representing the order of web pages visited in a browser's history.
Imagine you're implementing a stack with a fixed-size array. Which situation leads to a stack overflow even if the number of elements in the stack is less than the array's size?
Popping an element when the stack pointer is at the end of the array.
Popping an element when the stack pointer is at the beginning of the array.
Pushing an element when the stack pointer is at the end of the array, even if some initial array slots are empty.
Pushing an element when the stack pointer is at the middle of the array.
Which data structure is often used in conjunction with a persistent stack to efficiently manage the different versions of the stack?
Linked list
Queue
Hash table
Binary tree
Tarjan's algorithm, which leverages a stack, is a prominent algorithm in graph theory. What problem does Tarjan's algorithm solve efficiently?
Identifying strongly connected components in a directed graph.
Checking if a given graph is bipartite (can be colored using two colors).
Determining the minimum spanning tree of a weighted graph.
Finding the shortest path between any two nodes in a graph.
In a persistent stack implementation using linked lists, what is the time complexity of performing a 'pop' operation on a stack with 'n' elements?
It depends on the implementation.
O(n)
O(1)
O(log n)
What is the primary advantage of using a deque (double-ended stack) over a standard stack?
Faster access to elements in the middle of the stack.
Ability to efficiently add or remove elements from both ends.
Improved search efficiency for sorted data.
Lower memory consumption for large data sets.
Consider a scenario where you need to implement a backtracking algorithm. Which stack implementation would be most suitable?
Standard stack
Persistent stack
Multi-stack implementation in a single array
Double-ended stack (deque)
You are building a system that processes a high volume of real-time data using stacks. Which optimization technique would be MOST beneficial for enhancing the performance of your system?
Utilizing a stack implemented with a singly linked list to minimize memory overhead.
Employing a stack implemented with a doubly linked list to facilitate faster push and pop operations.
Implementing the stack using a fixed-size array allocated at compile time to minimize allocation overhead.
Implementing the stack using a dynamically allocated array that doubles in size when full.
In a multi-stack implementation using a single array, what technique is commonly used to indicate the boundaries between individual stacks?
Maintaining separate arrays to track the top and bottom of each stack.
Using pointers or indices to mark the top and/or bottom of each stack.
Employing a hash table to map stack identifiers to their corresponding array ranges.
Storing special delimiter characters within the array.