Min Stack
Explore how to create a custom Min Stack data structure that supports pushing, popping, and retrieving the minimum value efficiently in constant time. This lesson guides you through implementing each method with optimal time complexity, helping you deepen your JavaScript skills for coding interviews focused on custom data structures.
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Statement
Design a custom stack class, Min Stack, allowing us to push, pop, and retrieve the minimum value in constant time. Implement the following methods for Min Stack:
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Constructor: This initializes the Min Stack object.
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Pop(): This removes and returns from the stack the value that was most recently pushed onto it.
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Push(): This pushes the provided value onto the stack.
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Min Number(): This returns the minimum value in the stack in time.
Note: The time complexity of all the methods above should be .
Constraints:
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value
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The Pop() and Min Number() methods will always be called on non-empty stacks.
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At most, calls will be made to Push(), Pop(), and Min Number().
Examples
Understand the problem
Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:
Min Stack
What is the correct output of Min Number() after four Pop() calls are made to the following stack?
stack = [3, 6, 2, 9, 0, 2, 5, -4, 12, -9, 6]
The top element of this stack is 6.
-4
0
-9
3
Figure it out!
We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.
Note: These building blocks relate to the scenario of pushing, popping, and retrieving the minimum value from the stack.
Try it yourself
Implement your solution in min_stack.js in the following coding playground. You will need the provided supporting code to implement your solution.
import MainStack from "./stack.js";class MinStack {// Initializing min and main stackconstructor() {// Write your code here}// Pop() removes and returns value from minStackpop() {// Write your code here}// Pushes values into minStackpush(value) {// Write your code here}// Returns minimum value from MinStack in O(1) TimeminNumber() {// Write your code here}}export default MinStack