Logic Masters Deutschland e.V.

My third addition to the modulo series. I found products in the modulo world to have cool properties. I hope diving in the mod 4 world will make this a very rewarding puzzle.

• Modulo Cages
• Modulo Yin Yang
• Fun Modulo 4
• Modulo Yin Yang 2

Standard sudoku rules apply: The digits 1 through 9 appear in every row, column, and box.

Maximum and Minimum: The DIGIT in a Maximum cell (gray cells with brackets pointing outwards) is greater than the DIGITS in the four adjacent (orthogonally connected) cells. The DIGIT in a Minimum cell (gray cells with brackets pointing inwards) is smaller than the DIGITS in the four adjacent cells.

(For all other constraints:) The VALUE of a cell is considered its remainder by dividing the digits by 4, in other words the digit modulo 4. E.g.: the digit 7 has the value 3, the digit 9 has the value 1.

Product modulo cages: The product of the VALUES in a red cage modulo 4 must result in the given value in the top left corner. E.g. A cage with the digits 3 and 7 must have a 1 in the top left corner, because the values are 3->3 and 7->3, and so its the product is 9 which equals 1 modulo 4. In a three cell cage with a 2 in the top left corner, (2,5,7) is a valid example among many others.

Renban line: VALUES along a Renban line must form a set of non-repeating consecutive digits in any order.

The bottom row is for taking notes.

play on sudokupad