(Harder) Consecutive Sudoku

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(Harder) Consecutive Sudoku

Postby mith » Sat Oct 24, 2020 1:11 am

Code: Select all
+-------+-------+-------+
| 1 . . | . . . | . . . |
| . . . | . . . | . 3 . |
| . . 2 | 4 . 6 | 8 . . |
+-------+-------+-------+
| . . 8 | 6 . 2 | 4 . . |
| . . . | . . . | . . . |
| . . 6 | 8 . 4 | 2 . . |
+-------+-------+-------+
| . . 4 | 2 . 8 | 6 . . |
| . 7 . | . . . | . . . |
| . . . | . . . | . . 5 |
+-------+-------+-------+
1...............3...24.68....86.24.............68.42....42.86...7...............5
The following pairs of cells contain consecutive digits: r1c56, r2c23, r23c2, r23c5, r45c9, r56c1, r78c5, r78c8, r8c78, r9c45.


I'm not sure how hard this. It does have a unique solution.
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Re: (Harder) Consecutive Sudoku

Postby creint » Sat Oct 24, 2020 5:38 am

Single solution, a bit harder, single solution. From sets into fishes into chains.
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Re: (Harder) Consecutive Sudoku

Postby urhegyi » Sat Oct 24, 2020 3:52 pm

creint wrote:Single solution, a bit harder, single solution. From sets into fishes into chains.

So as I understand it r1c56 & r56c1, r9c45 & r45c9, r23c25 & r25c23, r78c58 & r58c78 are consecutive.(including the 2 x-wings).
With that I have solved it.(The missing digit 9 must be at R5C5 because of symmetrical placement).
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Re: (Harder) Consecutive Sudoku

Postby urhegyi » Sun Oct 25, 2020 7:33 pm

consecutive.png
I don't have much experience with consecutive sudoku, but I think I found the unique solution:
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Re: (Harder) Consecutive Sudoku

Postby mith » Mon Oct 26, 2020 2:41 am

Looks good to me!

After basics, there are 6 jellyfish available. You can do the jellyfish on 1357 to eliminate a single candidate from r5c5 resulting in a naked single 9, or you can do one of the jellyfish on 9 to eliminate the other candidates in r5 or c5 to result in a hidden single 9.

(The easier puzzle I posted needs all four jellyfish, I think, but is pretty straightforward otherwise.)
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