Enigma 1307: KO, OK?
23 July 2014
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From New Scientist #2465, 18th September 2004
Sixteen players numbered 1 to 16 entered a men’s knockout tennis tournament. In each round the numbers of the remaining players were drawn at random to decide who played whom.
At the end of the tournament each player wrote down the number or numbers of the players he had competed against, in the order in which he had played them. The lists of the two finalists had their numbers in increasing order.
Also, each player worked out the total of the numbers in his list. The highest total was four times the lowest.
Which two players were in the final?