Rubik's 3x3x1

There are 192 total states of the Rubik's 3x3x1, enumerated below. Distance is the minimum number of moves required to solve it. Turning the centers is not considered a valid move here. Hover the cubes to see where you can go in one move.

Distance 0

1 states, 0 dead ends.

Distance 1

4 states, 0 dead ends.

Distance 2

10 states, 0 dead ends.

Distance 3

24 states, 0 dead ends.

Distance 4

53 states, 1 dead end.

Distance 5

64 states, 0 dead ends.

Distance 6

31 states, 21 dead ends.

Distance 7

4 states, 0 dead ends.

Distance 8

1 states, 1 dead end.