1 0 1 2 3 4 5 20 -> 0 0 -1 -5 0 -4 31 -> inf 0 1 -3 2 -4 42 -> inf 3 0 -4 1 -1 53 -> inf 7 4 0 5 3 64 -> inf 2 -1 -5 0 -2 75 -> inf 8 5 1 6 0 8