Problem: Min Stack

Posted by Marcy on February 18, 2015

Question

Design a stack that supports push, pop, top, and retrieving the minimum element in constant time.

  • push(x) – Push element x onto stack.
  • pop() – Removes the element on top of the stack.
  • top() – Get the top element.
  • getMin() – Retrieve the minimum element in the stack.

Example:

MinStack minStack = new MinStack();
minStack.push(-2);
minStack.push(0);
minStack.push(-3);
minStack.getMin();   --> Returns -3.
minStack.pop();
minStack.top();      --> Returns 0.
minStack.getMin();   --> Returns -2.

Solution

TODO

Code

class MinStack {
    Stack<Integer> stack = new Stack();
    Stack<Integer> minStack = new Stack();
    
    /** initialize your data structure here. */
    public MinStack() {
        
    }
    
    public void push(int x) {
        stack.push(x);
        int peek = minStack.empty()? x : minStack.peek();
        if(x < peek) {
            minStack.push(x);
        }
        else {
            minStack.push(peek);
        }
    }
    
    public void pop() {
        stack.pop();
        minStack.pop();
    }
    
    public int top() {
        return stack.peek();
    }
    
    public int getMin() {
        return minStack.peek();
    }
}

Performance

TODO