Sixteen five gallon containers form a 4x4 grid. Move only ONE container so as to make the row sums, column sums, and main diagonal sums, the same.

[1] [2] [3] [2]
[2] [2] [3] [1]
[3] [1] [2] [4]
[2] [4] [5] [3]

Columns, rows and main diagonal sum are ten in the following solution, taking the five gallon container at R4;C3

2 2 4 2
2 3 4 1
3 1 2 4
3 4 0 3

 

Posted by Hugo on 2005-03-19 16:33:05