Sunday Times Teaser 2744 – School Run
by Angela Newing
Published: 26 April 2015 (link)
Each of the three houses of Merryhouse School entered four students in the cross-country race. Points were awarded with 12 for the winner, 11 for second, and so on down to 1 for the tail-ender (from Berry House). When the points were added up, all houses had equal points. Three of the runners from Cherry House were in consecutive positions, as were just the two middle-performers from Derry House.
Which house did the winner come from, and what were the individual scores of its runners?
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and here is a solution in MiniZinc a constraint programming language: