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If everyone in a group of n shakes hands with everyone else, each person shakes n minus one hands, but every handshake involves two people, so the total is half of n times n minus one. The same shape counts games in a round robin and lines between points.
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Nothing yet. No other skill in the Atlas lists this one as a prerequisite.
No indexed official paper question has been tagged with CNT-08 yet. The index grows one paper at a time, and it records only question numbers, point values and our own skill tags — never the problems themselves.