You have 4 spacial locks with arrows on them, each facing up or down (you don't know the start order), on each corner of a box.
You can only check if all of them are facing the same direction (all arrows are to the same direction UP or DOWN) - as the box opens when they do.
You have 3 switches -
1) changes one of the locks randomly to the opposite state
2) changes randomly two close locks states (corners with a line between them - up right + up left \ up right +bottom right \ up left+bottom left \ down left+down right) total of 4 options
3) changes randomly two far locks (up left +bottom right \ up right+ bottom left) total of 2 options
Each turn you play you can check if the box opens.
What is the series of clicks that will open the box no matter the initial order of the locks arrows?