Teams going in the wrong direction

[Jay R]

I saw this at a summer tournament this weekend and I was wondering what others thought.

FIBA rules, Team A has AP to start the 4th quarter. The officials bracket the play in the wrong direction and all the players line up in the wrong direction. Team A has control of the ball for 10 seconds when someone recognizes that they are playing in the wrong direction. The officials stop the game and discuss for a while and come up with a decision that I could not believe. They charge Team A with a backcourt violation and award the ball to Team B.
Their logic was that Team A first inbounded the ball in the backcourt (but really the frontcourt) and then committed a violation when they unknowingly brought the ball to the frontcourt (but really the backcourt).

I am in the process of looking up the actual rule for FIBA. What about other rule sets? What about common sense; start over?

Thoughts?

J