This puzzle was inspired by the puzzle "Deuces Wild" by Roger Wolff (which was itself inspired by the puzzle of the same name by Andrewsarchus). Bonus points for figuring out the meaning of the title!
Rules
Normal sudoku rules apply.
Digits in a cage sum to the total. Digits cannot repeat in a cage.
Mark one cell in each row, column, and box such that the digits 1-9 appear once each in the marked cells. Digits in the marked cells count for a different value from 1-9 for the purposes of cages, with each value from 1-9 being taken on once.
In addition, the digit replacements must form a complete 9-cycle. For example, it is not allowed for the marked 1 to take the value 2 and the marked 2 to take the value 1, since that would create a 2-cycle of (1 2).
Cages may contain multiple marked cells if allowed by other rules, and replaced values may duplicate digits in cages. For example, a two-cell 2-cage may be 1 and marked cell with a value of 1.
Lösungscode: Row 2, then row 8
am 11. August 2023, 07:55 Uhr von Christounet
Very hard puzzle. The ending was tougher for me, because I had trouble keeping travk of the possibilities for the cycle at some point. Finished it this morning with a clearer mind. Very interesting and well constructed. Thanks.
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hah, it's definitely a puzzle that benefits from some extra bookkeeping that most puzzle apps don't have. thanks for working through it :) ~tess
am 24. Juli 2023, 21:04 Uhr von madhupt
Great puzzle! Very difficult at first but tiny but intricate deductions lead you down a rather smooth solve path.
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thank you! glad you enjoyed it ~tess
am 16. Juli 2023, 19:54 Uhr von marcmees
beautiful puzzle.
am 15. Juli 2023, 18:34 Uhr von peacherwu2
Remarkable! A solid step extending double rules!
am 10. Juli 2023, 18:51 Uhr von bansalsaab
Beautiful puzzle. Once the brain gets oriented, its actually quite straightforward. Thoroughly enjoyed it.
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thank you! glad you enjoyed the puzzle :)
~tess
am 10. Juli 2023, 07:50 Uhr von chiqiangluoli
Nice