01 cloud=2 S=1 moves=4 total=3
02 closed: SUN=gate RAIN=gate / open: SUN=F RAIN=F
03 old K: (2,0,1,0,0) / merge: (0,3,0,0) -> (1,2,0,0)
04 won moves=10 / K overflow trace: ((0, 0, 2, 0), (1, 0, 1, 0))
05 undo: cloud=1 F=1 K=1 moves=9 history=9 / rain wins again
