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Enigma Number 1678

Tennis tournament

My tennis club held a knockout tournament, in which eight players competed. The two losers of the semi-finals played a match to decide 3rd and 4th places. Matches were decided by the best of five sets, with the match ending once a player had won three sets. Two matches had to be abandoned due to poor weather. When this happened the winner was the player who had won the most completed sets when the match was abandoned 鈥� luckily this didn鈥檛 lead to a draw on either occasion.

At the end of the tournament no two players had played the same number of sets, and all players except the winner had lost more sets than they had won.

It should have a line asking: How many sets were played overall?

WIN 拢15 will be awarded to the sender of the first correct answer opened on Wednesday 29 February. The Editor鈥檚 decision is final. Please send entries to Enigma 1678, New 女生小视频, Lacon House, 84 Theobald鈥檚 Road, London WC1X 8NS, or to enigma@newscientist.com (please include your postal address).

Answer to 1672 Heptagony: The heptagonal number is 409455

The winner Martin Hooper of Burton upon Trent, Staffordshire, UK