What is a significant advantage of implementing multiple stacks within a single array compared to using separate arrays for each stack?
Simplified implementation due to using a single data structure.
Improved time complexity for push and pop operations.
Enhanced security by isolating individual stacks within the array.
Reduced space complexity, especially when stack sizes are unpredictable.
Which data structure is often used in conjunction with a persistent stack to efficiently manage the different versions of the stack?
Queue
Hash table
Binary tree
Linked list
What is an advantage of using a persistent stack in a concurrent programming environment?
Reduces the risk of race conditions and data inconsistencies.
Improves performance by allowing parallel access to the stack.
Eliminates the need for locks or synchronization primitives.
Simplifies data sharing and communication between threads.
Which of the following scenarios is MOST likely to benefit from using a persistent stack data structure?
Implementing an undo/redo functionality in a text editor.
Storing a history of user actions for analytics purposes.
All of the above.
Managing function call stacks in a recursive algorithm.
You need to implement a stack that supports push, pop, and find-minimum operations, all in O(1) time complexity. Which data structure is best suited for this scenario?
A binary search tree to efficiently maintain sorted data and find the minimum.
A single stack storing only the minimum element encountered so far.
A single stack where each element is a pair containing the value and the minimum value up to that point.
Two stacks: one for the main data and one for storing elements in sorted order.
What is a potential drawback of implementing multiple stacks in a single array with a fixed size?
Inability to store certain data types within the stacks.
Increased complexity in managing stack operations.
Slower performance compared to using separate stacks.
Risk of stack overflow if the allocated space is insufficient.
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.
Employing a hash table to map stack identifiers to their corresponding array ranges.
Using pointers or indices to mark the top and/or bottom of each stack.
Storing special delimiter characters within the array.
In a persistent stack implementation using linked lists, what is the time complexity of performing a 'pop' operation on a stack with 'n' elements?
O(n)
It depends on the implementation.
O(log n)
O(1)
The stock span problem requires finding the number of consecutive days before each day with a stock price less than or equal to the current day's price. What is the time complexity of the most efficient algorithm for this problem using a stack?
O(n^2)
O(n log n)
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.
Pushing an element when the stack pointer is at the middle 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.