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Not A Magic Square (Posted on 2004-06-19) Difficulty: 3 of 5
Place nine different digits (from 0-9) into a 3x3 grid, such that the eight sums formed by the three rows, three columns and two diagonals are consecutive numbers.

See The Solution Submitted by Brian Smith    
Rating: 4.3333 (3 votes)

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Solution Problem Solution Comment 14 of 14 |

Both the matrices A and B are valid solutions
to the problem, where:
  
       1  9  4
A = 8  7  3
       6  0  5

For A the sums of the main diagonals are 17, 13. The column sums are 15, 16, 12 and the row sums are 14, 18, 11.

and,

                  3  9  4
      B =       1  2  6
                  8  0  5

For B the sums of the main diagonals are 10, 14. The column sums are 12, 11, 15 and the row sums are 16, 9, 13.


  Posted by K Sengupta on 2007-04-30 13:30:27
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