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Latin Square (Posted on 2006-04-04) Difficulty: 2 of 5
Each cell in a grid contains one of the digits from 1 to 7. Each row and column has each digit exactly once. The following clues give the totals of the cells indicated. How can you fill the grid?


No Solution Yet Submitted by Sir Percivale    
Rating: 3.5000 (4 votes)

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Solution without explanation | Comment 2 of 4 |

After tinkering around with this for a while, I have come up with the solution.  Here is the completed grid (note that I am labeling the rows by A-G, top to bottom, and the columns by 1-7, left to right):

1234567   (col #s)

1542763    A

3657241    B

2713654    C

5321476    D

6174532    E

7436125    F

4265317    G

(Sorry about the line breaks - every time I hit ENTER my comment window skips a line for some reason!)

This was a tricky question!  The crucial step that I had to take to find the answer involved analyzing the grid to find where the 1s had to be placed.  I was able to prove that the DEF2=8 clue had to have a 1 placed in the middle - after that the rest seemed to fall out fairly easily.  Good puzzle Percy - thanks!  I wonder why it has received so few posts as yet?  This seems like it would be a puzzle that would appeal to all the sudoku fans.


  Posted by John Reid on 2006-04-04 23:09:49
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