



 
You cannot; no table monitor will ever get to see another table monitor. If we relax that, you will need at least 12 rounds, because each moving person meets six others per round and there are 69 other people to meet (more than 6 x 11). But in a twelveround event each X must meet two table monitors twice or one three times, leaving exactly one other moving person that X can meet twice. This is a pretty strong constraint! I suspect that the true number of rounds needed is at least 13, maybe more. At the moment I cannot think of any other obvious approaches  sorry! Good Hunting!  


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