Logic Masters Deutschland e.V.

• Normal Sudoku rules apply.
• Digits do not repeat along the indicated diagonal.

1. Let a horizontal cycle be defined as follows:

2. Let a vertical cycle be defined similarly, but progressing vertically along rows rather than horizontally across columns as above.

3. Let the order of a cycle be defined as the number of unique digits appearing in a given horizontal or vertical cycle

n.b. - the 'start' of a cycle is completely arbitrary, and the order of any cycle is identical regardless of the chosen starting cell.

• Green shaded cells have a horizontal cycle with order equal to the digit in that cell.
• Blue cells similarly have a vertical cycle with order equal to the digit in that cell.
• R9C9's digit contains the order of that cell's horizontal AND vertical cycle. (it would be valid either if it were shaded blue or if it was shaded green)
• Digits in cages form a single, complete horizontal or vertical cycle. (e.g. there is a vertical 3-cycle consisting of R3C4,R4C4,and R5C5 in some order).

(Poorly) Illustrated 6x6 Example:

Shaded cells in the below 6x6 are all valid using the above rules. I've illustrated the cycles for R6C1, so you can see the order 3 vertical cycle (R6C1 -> R3C1 -> R4C1) and order 3 horizontal cycle (R6C1-> R6C3 -> R6C5)