Determine the respective values of SQUARE and CUBE, given that SQUARE is a perfect cube and CUBE is a perfect square. Each of the capital letters in bold denotes a different decimal digit from 0 to 9 and neither C nor S can be zero.

I see Sing beat me posting by 40 seconds!  Our methods are probably variants on the same approach.  I found the possible squares for "CUBE" (also giving the U and E for "SQUARE"), and then looped on values for S,Q,A,R to find cubes.  Each added letter had to differ from any already used.  

Posted by ed bottemiller on 2009-08-04 12:58:04