Logic Masters Deutschland e.V.

Rules:

Normal sudoku rules apply: Place the digits 1 to 9 once each in every row, column and 3×3 box.

Each line is a modular ratio line: Along a line, digits are in order with a constant ratio, modulo 11. E.g. if a line starts with 2,6,... the next digit on the line must be 7, because 3×2 = 6 (mod 11) and 3×6 = 18 = 7 + 11 = 7 (mod 11).

Each line has a unique ratio. E.g. if one line reads 2,6,7,... (ratio of 3) another line cannot read 1,3,9,... (also a ratio of 3) and cannot read 1,4,5,... (ratio of 3 when read backwards) either.

Dots are modular kropki dots: On a white dot, digits must be consecutive. On a black dot, one digit is double the other, modulo 11. E.g. if one digit on a black dot is 8, the other digit must be 4 ( because 2×4 = 8 ) or 5 ( because 2×8 = 16 = 5 + 11 = 5 (mod 11) )

Sudokupad