**From New Scientist #1353, 14th April 1983** [link]

Hook, Line and Sinker were the judges for the Cooker Book prize this year as usual. They assembled a short list of six and then, as usual, could not agree on the order of merit. In the end each did his own ranking, giving 6 points for first place, 5 for second and so on (no ties). Then they totalled the points, which produced a final order (also without ties). Hook gave 5 points to the book which in fact came out second and 1 point to the book which finished third. He ranked *“Stuff”* above *“Nonsense”* and gave *“Umph”* the number of points which Line gave to *“Impenetrables”*. Line ranked *“Gawp”* above *“Elements”* and placed *“Impenetrables”* below *“Umph”*. Sinker ranked *“Nonsense”* third and *“Stuff”* fifth. No book totalled 13 or 10 or received the same number of points from any two judges. One of the books totalled 8.

Can you spell out the final order?

[enigma207]

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This Python program isn’t particularly elegant, or particularly quick, but it does find the answer. It runs in 535ms.

Solution:The final order is:,Gawp,Elements,Nonsense,Impenetrables,Umph.StuffThe actual scores given are shown below:

Note that the initial letters of the book titles read GENIUS.

I’m still not inspired to read any of them, though.

Here is the problem expressed as a set of MiniZinc constraints, which can be executed directly to give the solution.

I used the

minizinc.pywrapper library that I wrote forEnigma 361to let me bring the solution(s) back into Python for easier formatting.This program runs in 144ms.