In my career, I have worked literally over 100 games solo. I work FT line to FT line and alternate from side to side, although I work probably 2/3 or more of the time opposite the table and benches. I administer FTs from next to the shooter.
There have been some times when the ball went OOB and I could not be absolutely certain who had the last touch that I hesitate a little to watch the movement of the players, which sometimes indicates who is supposed to inbound. If it doesn't help, then I just make the best call I can.
One thing that helps when I work solo in our local kids rec league is that we don't allow coaches to request timeouts from the bench. I've worked other games that do, and it's hard sometimes to recognize that request because you have so much of your focus on the game action.
Also, don't hesitate to throw the ball to an inbounder from across the court after pointing to the spot.
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Yom HaShoah
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