Solving Listener Crossword 4151 with Mathematica

Listener Crossword 4151

MathsJam is a monthly meeting for people interested in recreational mathematics, and drinking of beer. At the Edinburgh meeting in August, we were presented with this Listener Crossword, from The Times Crossword Club. At the time of writing, there are plenty of solutions on the web from those who tackled the puzzle in the traditional manner of brain, pen and paper. I opted to cheat.
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