Parity Loop Quest #12
(Published on 24. August 2026, 03:43 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 cell containing the digit.
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 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 cell containing the digit.
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 use the same loop rules, and visually identical elements have the same meaning).
Solution code: Row 1
Solved by gustavo.fring, BigHead, Vodakhan , amirs, Deivi55, Joyofrandomness, galium_odoratum, olliwright, sehringdipity, PuzzlePatzer, kangaroo, Malakree, Tompzini, ebulku, Vaurien
Comments
on 24. August 2026, 08:40 by BigHead
Excellent puzzle, once again!
on 24. August 2026, 05:50 by gustavo.fring
Extremely fun puzzle! ~2.5* difficulty for me.
