Parity Loop Quest #13
(Published on 28. September 2026, 14:27 by Vythic)
Play on SudokuPad!
Normal sudoku rules apply.
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 Mod 3 Arrows: A digit on an arrow indicates how many digits in the arrow’s direction, including itself, have the same remainder modulo 3 as that digit. A digit on an arrow also indicates how many loop cells are in the arrow’s direction, including the arrow cell.
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.
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 Mod 3 Arrows: A digit on an arrow indicates how many digits in the arrow’s direction, including itself, have the same remainder modulo 3 as that digit. A digit on an arrow also indicates how many loop cells are in the arrow’s direction, including the arrow cell.
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: Loop cells in Row 8, left to right
Last changed on on 28. September 2026, 18:11
Solved by Malakree, Wergie, Piff, IcaroLopes
