/**
* Design a max stack that supports push, pop, top, peekMax and popMax.
*
* push(x) -- Push element x onto stack.
* pop() -- Remove the element on top of the stack and return it.
* top() -- Get the element on the top.
* peekMax() -- Retrieve the maximum element in the stack.
* 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:
* -1e7 <= x <= 1e7
* Number of operations won't exceed 10000.
* The last four operations won't be called when stack is empty.
*/
public class MaxStack716 {
class MaxStack {
private Stack