Tantalizer 498: Check list
9 November 2016
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From New Scientist #1049, 28th April 1977 [link]
Keen to do their bit for the nation, Aspex Ltd., the aspirin company, have decided to sponsor a chess tournament. There will be four prizes and 13 players will compete on the usual all-against-all basis, with 1 point for each win and ½ for each draw. The prizes will be divisible. Thus if 3 players tie for 1st place they will share the top 3 prizes; if 3 players tie for 3rd place, they will share the 3rd and 4th prizes; and so on.
As you see, there is no telling in advance how many players will end up with a share in the prizes. But my friend George is determined to be among them. Not for him a cliff-hanging struggle for top place, which might leave him prizeless, if boldness does not pay! What he wants to know is exactly how few points he needs to collect from his 12 games to be absolutely sure of featuring on the prize list.
Can you help him?