Logic Masters Deutschland e.V.

Normal sudoku rules apply.

Other than cells shaded in black or grey, the entire grid is built up of 4-tiles and 3-tiles which follow specific rules.

4-tiles: 4-tiles represent a sum of 3 digits and its result. For example, 1+2+3=6, so (1,2,3,6) is a valid 4-tile. Each 4-tile is unique, but they all have a horizontal or vertical 4x1 shape. Additionally, all 4-tiles have a built-in thermometer.

3-tiles: 3-tiles represent a modular multiplication. For example, 3 x 6 = 18, so (3, 6, 8) is a valid 3-tile (essentially ignore the first digit of the result). Each modular multiplication may be used only once, although different multiplications may lead to similar tiles. 3-tiles can take any shape. Within a 3-tile, digits can take any position, but they can not repeat.

2 example tiles of each type are given. There are at least 2 more of each type, but the exact number and location of the remaining tiles must be deduced. The numbers outside the grid indicate how many distinct tiles are present on that row or column.

Finally, all black cells represent the same digit.