Parity Loop Quest #7
(Published on 8. July 2026, 23:00 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 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.
Loop Cages: The sum of digits in a cage is equal to how many odd loop cells are in the grid.
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 use 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 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.
Loop Cages: The sum of digits in a cage is equal to how many odd loop cells are in the grid.
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 use the same loop rules, and visually identical elements have the same meaning).
Solution code: Row 4
Solved by SKORP17, Chaka, misha, tryote, lune, jordanza, Bjd, sedici, amirs, wuc, Chelo, caiogi, SMM, damyan_rm, SweJo, xiaozhu, Lithium-Ion, kublai, Snookerfan, lianarox, mathpesto, pmatos, SecondBlue, Toppastala, Exigus, marajade, Julianl, Vodakhan , beansontoast_, stranac, ZornsLemon, kehan628, japanoise_breakfast, Tompzini, sarabtx, akodi
Comments
on 10. July 2026, 04:22 by Exigus
Great addition to the series. Thanks!
on 9. July 2026, 16:42 by Snookerfan
Lovely just as the whole series! The puzzles become gradually easier which could be because of getting familiar to the rules. Thanks
on 9. July 2026, 16:12 by Lithium-Ion
This puzzle definitely deserves a higher rating. What a lovely ruleset and so much fun to figure out the loop.
on 9. July 2026, 11:23 by wuc
Once you are really used to the rulset, these puzzles are such a fun rewarding experience. Looking forward to hhe next quest. Thx for creating these.
on 8. July 2026, 23:59 by Chaka
Beautiful!
