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Neighboring Multiples (Posted on 2009-03-15) Difficulty: 3 of 5
Place the digits 1 through 9 in a 3x3 array so that the numbers surrounding each digit (including those adjacent by a diagonal) add to a multiple of that digit.

As an example of an array that fails in this regard, take:

  9 5 1
  6 7 2
  4 3 8
 

While 6+7+5=18 is in fact a multiple of the 9 that it surrounds, as required, the 2+7+3=12 that surrounds the 8 is not a multiple of 8, so this grid fails (it also fails based on the surrounds of 6 and 7).

See The Solution Submitted by Charlie    
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  Subject Author Date
SolutionComputer solutionRobby Goetschalckx2009-03-15 14:08:44
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