@dommymommy If the rooms reset each night and are blind, then there is no solution. You have a 1 in 4 chance on day 1 and a 1 in 3 chance on any subsequent day.

If you could know what room she was in the previous night, you can wait for her to stay in a corner room, then choose the adjacent room (either 2 or 3 depending on whether the girl was in room 1 or 4 the previous night).

You could also mark the doors for signs of disturbance using tape or wedging a playing card in the frame.