Today's (London Times) Listener crossword,  no 4647,  is one of the four numerical
puzzles published each year.

Here's the "preamble":

   <<
   The clues are algebraic expressions for numbers to be entered in the
   grid. The letters in clues

   represent the numbers 1 to 15 in an order to be determined. Some of
   the 15 perimeter cells will

   contain two digits. The three corner cells are not part of any clued
   entry; the solver must enter

   numbers in them to complete a “roundabout” of relations linking
   every adjacent pair of the 15

   perimeter numbers. Reading clockwise from the top, they could be
   considered literally as a précis

   of the solver’s success (8, 4, 3). No entry starts with zero and all
   are different.

    >>

I _think_ this is a link to a pdf copy of the puzzle in dropbox,  and I think it's shared.  Apologies if

not;  I'm new to dropbox.


https://www.dropbox.com/s/v7o14xytv1we9gj/listener.4647.pdf?dl=0


As I solved it with the help of J,  I hope it's ok to post this in the Chat forum.


Cheers,


Mike



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