Stack Sequence Validator

Stack Simulation Arrays

Problem Description

Given two sequences of integers, one representing the order in which elements are pushed onto a stack (pushSequence) and the other representing a sequence of pop operations (popSequence), determine if the popSequence is a valid pop order for the given pushSequence.

A valid pop order means that if you simulate the push and pop operations on a stack by pushing all elements from pushSequence in order, you could obtain popSequence by interleaving the operations appropriately.

Example

For example, given:

  • pushSequence = [1, 2, 3, 4, 5]
  • popSequence = [4, 5, 3, 2, 1]

The output should be true because you can obtain popSequence by performing these operations:

  1. push 1, push 2, push 3, push 4, pop -> outputs 4
  2. push 5, pop -> outputs 5
  3. pop -> outputs 3
  4. pop -> outputs 2
  5. pop -> outputs 1

Instructions

Implement a function that takes two sequences (arrays or lists) as input and returns a boolean value indicating whether popSequence is a valid pop order for pushSequence. Consider using a stack to simulate the push/pop operations.

Hint: Try to simulate the process by iterating over the pushSequence and checking if the current top of the stack matches the next value in popSequence.

This problem ties nicely into the season's spirit of reflection and revisiting the fundamentals, much like how we look back on past traditions during the holiday season.