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Design a max stack that supports push, pop, top, peekMax and popMax.

  1. push(x) -- Push element x onto stack.
  2. pop() -- Remove the element on top of the stack and return it.
  3. top() -- Get the element on the top.
  4. peekMax() -- Retrieve the maximum element in the stack.
  5. popMax() -- Retrieve the maximum element in the stack, and remove it. If you find more than one maximum elements, only remove the top-most one.

Example 1:

MaxStack stack = new MaxStack();
stack.push(5); 
stack.push(1);
stack.push(5);
stack.top(); -> 5
stack.popMax(); -> 5
stack.top(); -> 1
stack.peekMax(); -> 5
stack.pop(); -> 1
stack.top(); -> 5

Note:

  1. -1e7 <= x <= 1e7
  2. Number of operations won't exceed 10000.
  3. The last four operations won't be called when stack is empty.

Related Topics

[Stack] [Design] [Linked List] [Doubly-Linked List] [Ordered Set]

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