Yesterday I read an article in USA TODAY about "the first mathematically 
guaranteed way of solving the puzzles;" see 
http://www.usatoday.com/tech/science/mathscience/2009-03-15-sudoku-secret_N.htm. 
 It reminded me of an interesting old forum 
thread: http://www.jsoftware.com/pipermail/programming/2005-December/thread.html#298 (see
 also http://www.vector.org.uk/archive/v214/sudoku.htm) and a hint from 
an academic female adviser "It is not just about laying the eggs; you must know 
how to cluck them."

In any case, it seems to me that the 'way' should be qualified, in some 
sense, as 'implementable;' otherwise, there is an obvious "mathematically 
guaranteed way of solving the puzzles" in principle.  Is there not?
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