Logic Masters Deutschland e.V.

Solve in SudokuPad

Normal sudoku rules apply.

Yin Yang: Shade the grid such that the shaded region is orthogonaly connected and the unshaded region is orthogonaly connected. No 2x2 area of any region can exist in the puzzle.

Regions contain sets.

Shaded region: Sets have at least 2 digits such that the sum of the set is divisible by every digit in that set. The square is part of this region. Digits that are diagonally adjacent can be part of the same set.

Unshaded Region: Sets have 2 orthogonaly connected digits such that they sum to a non-prime and have different parity.

All sets in a region have at least one cell is in the perimeter and at most two are outside the perimeter (negative constraint applies). Digits do not repeat in a set. Every digit in the perimeter is part of a set. Sets don't overlap.

For clarification: if a valid unshaded 1-8 set exists, an unshaded 7 cannot be adjacent to the 8, as that creates the set 1-8-7. Although the digits fit, the length is too big.

Renbans: Digits on a pink line form a non-repeating consecutive set in any order. Renbans with the same length are different. Digits on a renban of length 2 are in the same region. Different renbans can be in different regions.

Purple Dot: A purple dot between 2 cells means that the digits are part of the same set in the shaded region.

Red Dots: A red dot between 2 cells means that they are in the same region. If they are unshaded they are in different sets. If they are shaded they are in the same set.

An inequality sign points to the smaller digit.