Efficient Rolling Max and Min Window

Question

I want to calculate a rolling maximum and minimum value efficiently. Meaning anything better than recalculating the maximum/minimum from all the values in use every time the win

Answer 1

I would suggest maintaining a stack which supports getMin() or getMax().

This can be done with two stacks and costs only constant time.

fyi: https://www.geeksforgeeks.org/design-a-stack-that-supports-getmin-in-o1-time-and-o1-extra-space/