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Wonderful Water Works (Posted on 2005-03-19) Difficulty: 3 of 5
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]

See The Solution Submitted by Old Original Oskar!    
Rating: 2.6667 (3 votes)

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Solution re: Solution Comment 5 of 5 |
(In reply to Solution by Federico Kereki)

Oops... I forgot about the diagonals, and since you cannot pour gallons at will, I found this solution, based on using the container in the fourth row and third column, which we will empty in other containers. First, fill the container at the fourth row, second column, leaving 4 gallons in your container. Then, fill the container at the  second row, third column, leaving 2 gallons on hand. Finally, empty your container at the first row, first column, leaving your original container empty, which goes back to its place:

1 2 3 2       1 2 3 2       3 2 3 2
2 2 3 1       2 2 5 1       2 2 5 1
3 1 2 4       3 1 2 4       3 1 2 4
2 5 x 3       2 5 x 3       2 5 0 3

Edited on March 20, 2005, 4:07 pm
  Posted by Federico Kereki on 2005-03-20 16:06:32

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