Twin Sudoku? Help, please!

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Twin Sudoku? Help, please!

Postby enxio27 » Sun Aug 04, 2013 7:22 pm

I have encountered some "Twin Sudoku" puzzles, but I'm not sure what is meant by the instructions, particularly the last part.

"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.


What exactly do they mean by "substituting the corresponding values of the digits"? What/where are the "corresponding values"?

Here are the two sets of puzzles:

#53

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.............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

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...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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Re: Twin Sudoku? Help, please!

Postby JasonLion » Sun Aug 04, 2013 7:53 pm

There must be a one-to-one correspondence between the digits of both boards, i.e., in all positions with a certain digit in the first grid, the corresponding positions in the second grid have to contain the same digit as each other (possibly a different digit from the digit in the first grid).
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Re: Twin Sudoku? Help, please!

Postby enxio27 » Sun Aug 04, 2013 8:13 pm

JasonLion wrote:There must be a one-to-one correspondence between the digits of both boards, i.e., in all positions with a certain digit in the first grid, the corresponding positions in the second grid have to contain the same digit as each other (possibly a different digit from the digit in the first grid).

So, are you saying that, 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? But that 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)?
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Re: Twin Sudoku? Help, please!

Postby JasonLion » Sun Aug 04, 2013 8:26 pm

Yep.
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Re: Twin Sudoku? Help, please!

Postby enxio27 » Sun Aug 04, 2013 9:14 pm

Ahhh!! Now it makes sense! Why could they not explain all that in the first place? :roll:

Thanks for the help!
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re: "Twin Equivalent Sudokus"

Postby Pat » Mon Aug 05, 2013 11:16 am


    the simple version
    allows only re-mapping of digits
    ( as explained by JasonLion )

    a trickier version
    also allows re-mapping of lines within a chute

    "Twin Equivalent Sudokus"
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Re: re: "Twin Equivalent Sudokus"

Postby tarek » Mon Aug 05, 2013 11:54 am

Pat wrote:

I remember that thread and discussion :D
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Re: re: "Twin Equivalent Sudokus"

Postby enxio27 » Mon Aug 05, 2013 3:09 pm

tarek wrote:

I remember that thread and discussion :D

<reviews thread; returns with head spinning. . .> :shock:
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