Logic Masters Deutschland e.V.

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 Region Sum Lines: Every three consecutive cells along a blue line contain exactly one loop cell and two non-loop cells. Box borders split blue lines into segments of equal sum.

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.

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).