22SP - 05 Shifting Sands

Brian is feeling adventurous so he flies to Algeria to observe the Sahara Desert. He keeps a journal about what he sees and in that journal he writes that he found a magical 4x4 grid of sand dunes. In this 4x4 grid, gusts of wind blow in any 4 of the cardinal directions and the wind is so strong that it moves the sand dunes. Each sand dune has an associated size given by an integer. Sand dunes ca