Rossini sudoku

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Rossini sudoku

Postby MarcusMuscle » Thu Nov 10, 2022 1:34 pm

Hello, I've had trouble solving this Rossini sudoku.

The rules for this variant are here : http://www.cross-plus-a.com/html/cros7rsis.htm

The grid :
Code: Select all
      v    v
 *-----------*
 |...|3..|...|
>|..9|...|...|
>|...|...|3..|
 |---+---+---|
<|...|.6.|..2|
<|...|..5|..6|
<|...|...|9.7|
 |---+---+---|
 |...|.1.|...|
 |...|..8|...|
 |.9.|2..|...|
 *-----------*
  ^    v


Little spoiler :
Hidden Text: Show
I've determined that there was 9 above the 2 in the middle-down box, because the 9 in this box can't be in the last row because of the other 9 in this row, and then by Rossini's rules it can only be there.


Aside from that, I did not manage to make any progress with this grid. I've determined a lot of things, ruled out a lot of possibilities, but nothing gave me another digit.

I would love if someone could give me one of the next digit to find, and with what method they managed to find it, so I might learn how to finish it alone ! Any tips and tricks on Rossini's Sudoku are welcome as well :)

Thank you !
Last edited by MarcusMuscle on Sat Nov 12, 2022 8:25 am, edited 1 time in total.
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Re: Rossini sudoku

Postby Hajime » Sat Nov 12, 2022 7:32 pm

Are you sure there are no < and > at the right ?
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Postby 1to9only » Sun Nov 13, 2022 8:56 am

The OP Rossini sudoku is correctly copied from:
Image
Someone posted a unique solution here: Link.
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Re: Rossini sudoku

Postby MarcusMuscle » Tue Nov 15, 2022 8:04 am

Oh, I didn't know there was a puzzle stack exchange question about this one.

Thank you, that's very useful ! :)
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Postby 1to9only » Wed Nov 16, 2022 12:45 pm

Rossini sudoku can be converted into GreaterThan sudoku:
Edit1: Image withdrawn. As pointed out by next post, image had arrows pointed the wrong direction!!
Edit2: I've updated the sudoku image. The image in the next post is auto-corrected!!
Image
Edit3: This Rossini sudoku cannot be turned into a GreaterThan sudoku coz of r6c789 - see posts below.
Last edited by 1to9only on Wed Nov 16, 2022 9:20 pm, edited 3 times in total.
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Re:

Postby thelardoffear » Wed Nov 16, 2022 2:30 pm

1to9only wrote:Rossini sudoku can be converted into GreaterThan sudoku:
Image


That picture has the constraints in the wrong direction

e.g. R2C2 must be > 9.

Also converting to a Greater Than sudoku loses the other Rossini rule that triple cells without an arrow do not form a sequence (in either direction) which means that the above puzzle would have hundreds of solutions.
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Re: Re:

Postby Hajime » Wed Nov 16, 2022 5:36 pm

thelardoffear wrote:Also converting to a Greater Than sudoku loses the other Rossini rule that triple cells without an arrow do not form a sequence (in either direction) which means that the above puzzle would have hundreds of solutions.

Which is not the case because in row 6 between the 9 and 7 there can not be an 8.
I could not solve it up to now and have to define extra constraints like non-descending triples like kropki or xv-puzzles.
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Re: Rossini sudoku

Postby Mathimagics » Wed Nov 16, 2022 6:28 pm

It appears that according to the rules, the OP's puzzle is invalid (has no solution), because r6c789 = "9.7" has no arrow.

The rules clearly state that a lack of an arrow implies that the corresponding 3 cells do NOT form a sequence.

And so, the equivalence between Rossini and Sudoshiki puzzles is not available. Which is a pity, since it would be much easier to render and solve these without creating new software, and new format strings, etc ...

Cheers
MM
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Re: Rossini sudoku

Postby Hajime » Wed Nov 16, 2022 7:53 pm

Mathimagics wrote:It appears that according to the rules, the OP's puzzle is invalid (has no solution), because r6c789 = "9.7" has no arrow.

If you put a 6 between the 9 and 7, the sequence is not descending or ascending, which is correct with no arrow.
The link from 1to9only shows the solution of the puzzle.
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Re: Rossini sudoku

Postby Mathimagics » Thu Nov 17, 2022 12:32 pm

Urrrggh .. :?

You are right of course, about the OP puzzle.
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Re: Rossini sudoku

Postby Hajime » Thu Nov 17, 2022 1:36 pm

At this moment busy implementing GreaterThan, Kropki and XV variants.
All have symbols on borders what is not possible in the current version of SiSeSuSo.
I am in doubt also to implement Rossini....
Triples with no arrow could be implemented like (< and >) or (> and <) in a GreaterThan .
Indeed extra software and extra format strings. Decisions, decisions...
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