Twin Corresponding Sudoku

For fans of Killer Sudoku, Samurai Sudoku and other variants

Twin Corresponding Sudoku

Postby Crusoe » Fri Nov 03, 2006 6:15 pm

On the website http://www.nrich.maths.org.uk/public/viewer.php?obj_id=5477&part=index&refpage=monthindex.php I found this new interesting Sudoku variant which I spent several days to solve but still could not get the solution.

Perhaps there are some flaws in the puzzle. Can anyone help me to get the solution?
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Postby emm » Sat Nov 04, 2006 12:49 am

I think A is solveable and B has multiple solutions.
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Postby Ruud » Sat Nov 04, 2006 1:34 am

The 2 Sudokus are a single puzzle. On their own, they cannot be solved.

The solution of puzzle A is the same as that of puzzle B, but the digits are relabeled. For example, digit 6 in puzzle A is digit 4 in puzzle B.

By checking the corresponding positions of the givens, you can work out most of the digit mapping. For those digits, you can transfer givens and solved cells between the puzzles.

At the end, you need to single coloring move to crack the puzzle.
It has a single solution.

Tip: Use 2 instances of your favorite solver program and set the filters to the corresponding digits.

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Postby tarek » Sat Nov 04, 2006 1:47 am

why not relabel the digits of one so that it corresponds to the other......

Super-impose them & solve with singles.........

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Twin Corresponding Sudoku

Postby Crusoe » Sat Nov 04, 2006 3:28 am

:DThanks to Ruud, tarek and emm for providing useful suggestions. All of you good guys are very helpful to Sudoku novices like me.
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Postby udosuk » Sat Nov 04, 2006 11:56 am

tarek wrote:why not relabel the digits of one so that it corresponds to the other......

Super-impose them & solve with singles.........

Tarek, I relabel one of the grid and combine the 2 grids together, but I could not solve it with singles only... I need a locked candidate and a turbot fish... Your solver must be able to find singles where human can't...:!:
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Postby tarek » Sun Nov 05, 2006 10:06 am

It the human who relabelled the grids & super-imposed them & solved them & I had to use what you've mentioned.......I haven't tested it with the solver which is tuned now for MUTANT fish...... should I ?:D

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Postby Shintaro » Wed Nov 08, 2006 1:34 am

:DFor those who are interested to try another example, they can visit Sudokuworld http://games.groups.yahoo.com/group/sudokuworld/ to get it from the folder "Corresponding Sudokus" under the file section. However, registration for Sudokuworld membership is required to access any file. The example in Sudokuworld seems more difficult.
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Postby Shintaro » Sat Nov 25, 2006 8:20 pm

For those who find it troublesome to join any group, here are the twin puzzles devised by Henry Kwok:)

Twin A
Image

Twin B
Image

Source: Yahoogroup Sudokuworld http://games.groups.yahoo.com/group/sudokuworld/
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Postby Shintaro » Fri Dec 01, 2006 2:58 am

This puzzle (called "Seasonal Twin Sudokus"), posted on the website http://nrich.maths.org/public/viewer.php?obj_id=5518&part=index, is actually another "Corresponding Twin Sudokus" with the cells of one grid filled with letters instead of the usual 9 digits.

Perhaps most people would have already guessed the two hidden words in Twin A.

Merry Christmas!:D
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Postby Pyrrhon » Wed Dec 06, 2006 9:18 am

Here is another example for this variant. (A little bit more symmetrical and difficult, not so much clues and no given correspondence between the start grids.)

Image
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Postby Pyrrhon » Thu Dec 07, 2006 10:22 am

Because Henry Kwok and his avatarian friends are very strong interested in the question who orgins a sudoku variant I like to bring your attention to the fact that the correspondence idea is older then the twin corresponding sudoku variant. So h3lix used it in his Crpytoku. But of course he took his example later down because it was from his point of view too tedious and no fun The difference between both variants is of course the difference between twins and 9 sisters.

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Postby Shintaro » Sun Dec 24, 2006 11:27 am

A "Twin Corresponding Sudokus" puzzle for this Christmas season has been published on the website http://www.ageofpuzzles.com/Collections/TwinSudokus/TwinSudokus.htm under the name of "Twin Sudokus". The cells of one grid are filled with Christmas graphics instead of numbers.

Merry Christmas!:D
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Postby Shintaro » Tue Dec 26, 2006 3:33 am

The same type of twin puzzles has been published on Dr Sam Guo's English-Chinese bilingual website http://www.chinasudoku.com/ with one twin puzzle containing a Chinese seasonal greeting "Merry Christmas and Happy New Year".:D
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Postby Shintaro » Tue Dec 26, 2006 4:33 am

Similar twin puzzles on Otto Janko's reputable German puzzle website
http://www.janko.at/Raetsel/Sudoku/Varianten/999.a.htm with Seasonal greeting: Frohe Weihnachten!:D
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