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 Post subject: Twin Sudoku
PostPosted: Sun Aug 04, 2013 7:13 pm 
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Grand Master
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Posts: 791
Here are two "Twin Sudoku" puzzles from the apparently now-defunct Sudoku Magazine's Sudoku Mix #1.

Quote:
"Twin Sudoku" consists of a pair of standard sudoku puzzles each with some starting digits. To get a complete solution for the twin puzzles, it is necessary to solve each twin puzzle, but the complete solution of the twin puzzles will be obtained by substituting the corresponding values of the digits from one twin sudoku into the other.


For example, in the first grid of puzzle #53, R5C5 is 9 and in the second grid, R5C5 is 3, so that in every cell in the first grid where there is a 9, the corresponding cell in the second grid will be a 3. However, a 9 in the second grid will not NECESSARILY be a 3 in the first grid (in this case, a 3 in the first grid would be a 1 in the second grid, as in R3C3).

Here are the two sets of puzzles:

#53

Image
Image

Code:
.............6......3.8.5.....3.2....28.9.47....8.5.....4.3.2......2.............
.6.4.2.3.7.......6..1.6.5..5.......9..6.3.7..2.......1..7.1.8..9.......3.5.7.3.1.


#54

Image
Image

Code:
...573....3.....4....1.4...5.4.1.2.98..957..63.6.8.5.7...7.9....8.....9....845...
..........4..5..9...7.1.5............31.2.94............3.4.6...7..6..5..........


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 Post subject: Re: Twin Sudoku
PostPosted: Wed Aug 14, 2013 7:42 pm 
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Grand Master
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Joined: Thu Apr 24, 2008 4:27 pm
Posts: 791
Finished both of these earlier this week. The second set took a little bit of a trick that I think is unique to twin sudoku. I listed out the equivalent pairs of numbers for each puzzle in the set and found one number in each for which there were NO givens or solved cells, and figured those must be equivalent to each other. I successfully applied my hypothesis, after which the puzzle set fell apart into singles. :)


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