Konferenz der Hellseher (Sudoku)
(Published on 22. March 2024, 05:05 by glum_hippo)
Conference of Psychics
Normal Sudoku rules apply. Fill each row, column, and 3x3 box with the digits 1-9 exactly once each.
ROSSINI: Arrow symbols along the edge mean a strictly increasing or decreasing sequence in the first 3 digits. Think of it like a 3-cell thermo in the direction of the arrow. The negative constrain applies as well, i.e., if no symbol is shown then the middle digit must be the highest or lowest.
PSYCHIC LOOK-AND-SAY: Imagine replacing each digit N in pink cages with whatever digit occupies the same relative position in box N (boxes are counted from left to right, row by row). The number in the top left corner of the cage should be read not as a sum, but as a look-and-say number, which tells the exact number of times a digit appears in the newly populated cage (e.g., a '23' clue means there are exactly two 3's in the 'psychic version' of the cage). Digits may repeat within a cage unless prohibited by sudoku rules.
The following 'psychic look-and-say' example is by the inventor of the rule set, dumediat (used with permission). The green cells are the indexing cells, while the grey ones are not:
And now the puzzle:
Sudokupad: Click here.
Solution code: Row 5, then column 4 (18 digits total)
Comments
on 21. April 2024, 10:09 by Fra314
What a puzzle! From the deductions with the "8" cages to the Rossini logic, everything works perfectly, almost magical. Fantastico!
on 17. April 2024, 18:18 by heliopolix
What a wonderful construction. Brilliant use of the 'psychic' cages. Rossini has such strong synergy here. I thoroughly enjoyed it!
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I appreciate your comment, thanks for solving!
on 29. March 2024, 18:37 by fajoogaloo
I loved both the break-in and the ending. Definitely took me longer than it should have. I always forget negative constraints. Altogether a very fun puzzle :)
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Thank you for the feedback. Haven't seen your name before so it's nice to see you here.
on 27. March 2024, 18:48 by glum_hippo
updated rule formulation
Regelsatz neu formuliert
on 27. March 2024, 18:23 by Mr.Menace
A nice puzzle which gives something to think about! I did like the interaction between the rulesets!
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Thank you for persevering, for solving and for commenting, dear friend!
on 25. March 2024, 04:14 by glum_hippo
Rule clarifications
on 23. March 2024, 14:03 by sanabas
Very interesting solve, a lot of fun. And much easier than it looks once you understand how the PLAS rule works.
For the PLAS example, I've never seen it before, so took a little bit to understand the example, I initially thought the 64 in the 22 cage were pointing to r6c4 and r4c6. I think it might be clearer if you used multiple colours, e.g. make r1c1 and r4c3 red, r1c2 and r1c4 yellow. Or make the 34 cage red, and the 3 cells it points to have red flashes, the 22 cage yellow, the 2 cells it points to have yellow flashes, r4c1 stays grey, r4c2 is purple, r4c4 purple flash, etc.
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Thank you for this feedback. Your assumption seems to have been that this was a row- or column-indexing puzzle. But the ‘psychic cages’ idea is based on box indexing, which is admittedly even more unusual. Instead of changing the look of the example I have reformulated the rule a bit
on 22. March 2024, 13:50 by dumediat
I'm honored that you decided to set a PLAS puzzle, particularly one as beautiful as this. The Rossini ruleset works so well with this, and it is very surprising to me that this resolves with such a minimalist grid. Magnificent work, my friend!
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Thanks for providing the inspiration, even if it meant Niverio had to suffer... :)
on 22. March 2024, 12:43 by SeveNateNine
Very fun, and remarkably smooth for such an unusual rule set. Thanks!
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Glad you enjoyed
on 22. March 2024, 11:11 by MagnusJosefsson
Great puzzle! Very smooth and satisfying!
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Thank you, friend.
on 22. March 2024, 10:56 by Myxo
Super tolle Kombination :)
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Danke Dir! Hat mir auch gefallen.
on 22. March 2024, 10:32 by glum_hippo
Rule clarification
on 22. March 2024, 06:26 by peterkp
I'm confused by the rules. In the example, the 3 in R2C1 references the 4 in R2C5, but that 4 is in a cage so it shouldn't count towards the 34 cage total. Can you please explain what I have missed?
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They don’t influence the total of the cage which they are in. They do influence the totals of other cages. Will clarify
