An emperor wants to marry off his daughter. The way he chooses among the suitors is this. They all sit down at a round table. The emperor walks around the table, saying to the first suitor, "You live". The second suitor is not so lucky, the emperor says "You die", and kills him on the spot with his sword. He lets the third suitor live, but the fourth dies. This goes on around the table till there's only one suitor left.
Question: Figure out where exactly to sit to be the surviving suitor, regardless of how many suitors sit at the table. Use a diagram to help you. Dh and I have tried it. DS8 has come up with his own solution too.

I believe there are more than one approach to this. (I have another solution from another boy). I would like read about yours.
(Will post DS and the other boy's approach here later. )