Parity Loop Quest
(Published on 27. June 2026, 10:30 by Vythic)
Play on SudokuPad!
Normal sudoku rules apply.
Parity Pivot Loop: Form a one cell wide loop that moves through the grid orthogonally. The loop does not touch itself, not even diagonally.
A loop cell is an odd digit if the loop moves straight through it, and is an even digit if the loop does a 90 degree turn at its location.
Loop Arrows: A digit on an arrow indicates how many loop cells are in the direction of the arrow, not counting the arrow cell.
Loop Renban Lines: There is exactly one loop cell on each pink line. A pink line contains a consecutive set of digits in any order, without repeats.
Loop Dots: Cells separated by a black or white dot are either both loop cells, or neither are loop cells. Digits separated by a black dot have a 1:2 ratio. Digits separated by a white dot are consecutive.
Example of a valid loop shape (the white cells inside the loop cannot be cut off from each other, and a 2x2 block of cells cannot all be loop cells):
(Puzzles throughout this series have the same loop rules, and visually identical elements have the same meaning).
Normal sudoku rules apply.
Parity Pivot Loop: Form a one cell wide loop that moves through the grid orthogonally. The loop does not touch itself, not even diagonally.
A loop cell is an odd digit if the loop moves straight through it, and is an even digit if the loop does a 90 degree turn at its location.
Loop Arrows: A digit on an arrow indicates how many loop cells are in the direction of the arrow, not counting the arrow cell.
Loop Renban Lines: There is exactly one loop cell on each pink line. A pink line contains a consecutive set of digits in any order, without repeats.
Loop Dots: Cells separated by a black or white dot are either both loop cells, or neither are loop cells. Digits separated by a black dot have a 1:2 ratio. Digits separated by a white dot are consecutive.
Example of a valid loop shape (the white cells inside the loop cannot be cut off from each other, and a 2x2 block of cells cannot all be loop cells):
(Puzzles throughout this series have the same loop rules, and visually identical elements have the same meaning).
Solution code: Row 9
Last changed on on 3. July 2026, 20:34
Solved by lanna, efnenu, Reisen, benvegmond, Berkals, wuc, Snookerfan, japanoise_breakfast, amirs, DanishDynamite, biorycbyd, gladstone, iEtsh, cybers, sehringdipity, xocolatl, Chaka, Douglass, mathpesto, ... UnscrambledEgg, SirRookie, godoffours, redgecko, sedici, lune, pmatos, tdunc, Dibi, Tompzini, Bjd, ly_ra17, Toppastala, stranac, akodi, ebulku, marajade, Uhu, karen_birgitta, falk, sarabtx
Comments
on 10. July 2026, 13:11 by stranac
Messed up the parity a few times, but other than that, it was very smooth solving.
I'm looking forward to the rest of the quest.
on 1. July 2026, 20:05 by mscha
Tough, but very satisfying.
on 28. June 2026, 12:51 by Franjo
Thank you very much for creating and sharing this beautiful loop-puzzle.
on 28. June 2026, 09:27 by Exigus
Fantastic puzzle, thanks!
on 28. June 2026, 00:13 by Douglass
Great!!
on 27. June 2026, 20:38 by iEtsh
I really love the arrow rule!
on 27. June 2026, 14:50 by Snookerfan
Very nice and tough puzzle! Thanks
on 27. June 2026, 13:37 by wuc
Hardest thing was getting all rules remembering at start. The puzzle was very fun to solve from that moment. Great setting thx.
