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 Four Squared (Posted on 2006-10-26)
```        Grid A                    Grid B
A   B   C   D             A   B   C   D
+---+---+---+---+         +---+---+---+---+
1  |   |   |   |   |      1  |14 |23 |34 |14 |
+---+---+---+---+         +---+---+---+---+
2  |   |   |   |   |      2  |31 |42 |26 |26 |
+---+---+---+---+         +---+---+---+---+
3  |   |   |   |   |      3  |22 |24 |44 |29 |
+---+---+---+---+         +---+---+---+---+
4  |   |   |   |   |      4  |12 |32 |19 |16 |
+---+---+---+---+         +---+---+---+---+
```
The numbers 1 to 16 are to be placed in grid A, so that consecutive numbers are not adjacent in any direction, including diagonally. Nor do they appear in the same row, column or any diagonal.

The number in each cell of grid B is the sum of the horizontal and vertical neighbors of the corresponding cell in grid A.

NB. The letters and numbers around the edge of the grid serve no purpose for the solver. They are to be used for identifying cells in the solution.

 See The Solution Submitted by Josie Faulkner Rating: 4.4167 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(3): computer solution | Comment 9 of 17 |
(In reply to re(2): computer solution by Charlie)

Hi Charlie,

Before I devise my "Four Squared" puzzles, I set the constraints, namely that consecutive numbers may not be adjacent, nor may they appear in the same row or column. As it turned out, the latter caveat did not apply to this particular puzzle, (although it does apply to others). However, I decided not to delete it from the rubric, because the strategy for solving the puzzle may not be immediately apparent to some solvers.

The only tools I use for solving any puzzles are a pen and paper. Naturally, I checked my puzzle several times, before submitting it. With this particular puzzle, I needed to apply the "consecutive numbers may not be adjacent" rule twice, before I could correctly place the numbers.

If your rank permits you to view the solution, before it is published, you are welcome to take a look.

Best wishes,

Josie

 Posted by Josie Faulkner on 2006-10-27 10:31:19

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