Residual Rainbow (Modular/Ambiguous Lines)
(Published on 24. September 2025, 07:19 by Nell Gwyn)
- Sudoku: Place the digits 1 to 9 once each in every row, column, and 3x3 box.
- Every line in the grid is a modular line, i.e. any run of three cells must contain three digits with different remainders divided by 3, i.e. one from (1, 4, 7), one from (2, 5, 8), and one from (3, 6, 9)
- In addition, each of the following constraints applies to exactly one line in the grid:
- German Whisper: Adjacent digits along the line must differ by at least 5.
- Entropic: Any run of three cells on the line must contain one low (1, 2, 3), one medium (4, 5, 6), and one high (7, 8, 9) digit.
- Region Sum: Box borders divide the line into segments which have the same sum.
- Parity: Adjacent cells must contain one odd and one even digit.
Solution code: Column 2, top to bottom
Solved by damo_89, jalebc, Sotehr, Tsukyia, Ste1729, Calvinball, Megalobrainiac, SKORP17, Gilliatt, dkfan9, rifflter, Joyofrandomness, zeniko, Mr_tn, aerenhart, gxorgx, Bellsita, data_free, QuiltyAsCharged, NEWS, ole-1995a, PuzzlePatzer, Snookerfan, ViKingPrime, mcs131313, b413x
Comments
on 25. September 2025, 18:50 by Snookerfan
Great puzzle! I enjoyed it a lot. Thank you
on 24. September 2025, 07:26 by damo_89
This is an excellent puzzle and a well deserved winner. The ruleset, rules and visuals hit the nail, the solve path is lovely, better than the puzzle I submitted. Highly recommended! :)
