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Min Stack

Asked atamazongooglemicrosoftbloombergappleuber

01 · Problem

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

Implement the MinStack class:

  • MinStack() initializes the stack object.
  • void push(int val) pushes the element val onto the stack.
  • void pop() removes the element on the top of the stack.
  • int top() gets the top element of the stack.
  • int getMin() retrieves the minimum element in the stack.

You must implement a solution with O(1) time complexity for each function.

02 · Examples

Example 01
Input
["MinStack","push","push","push","getMin","pop","top","getMin"], [[],[-2],[0],[-3],[],[],[],[]]
Output
[null,null,null,null,-3,null,0,-2]

After pushing -2, 0, -3: getMin returns -3. After popping -3: top returns 0 and getMin returns -2.

Example 02
Input
["MinStack","push","push","getMin","pop","getMin"], [[],[1],[0],[],[],[]]
Output
[null,null,null,0,null,1]

After pushing 1 and 0: getMin returns 0. After popping 0: getMin returns 1.

Example 03
Input
["MinStack","push","push","push","getMin","pop","getMin","pop","getMin"], [[],[2],[1],[3],[],[],[],[],[]]
Output
[null,null,null,null,1,null,1,null,2]

After pushing 2, 1, 3: getMin returns 1. After popping 3: getMin still returns 1. After popping 1: getMin returns 2.

03 · Constraints

  • 01-231 <= val <= 231 - 1
  • 02Methods pop, top and getMin operations will always be called on non-empty stacks.
  • 03At most 3 * 104 calls will be made to push, pop, top, and getMin.

04 · Optimal complexity

Time
O(1)
Space
O(n)
05 · Two ways to work on it

Practice it alone or rehearse it as an interview.

Practice Mode gives you an editor and test runs, nothing else. AI Interview Mode puts a voice interviewer on the other side, adds a clock, and ends with a scored summary of the round.