Logic Masters Deutschland e.V.

This is my submission to Scojo's setting prompt this week, where the goal was to make a puzzle build up a snake/loop where the puzzle has a maximum of 10 clues on the grid.


Solve with SudokuPad.

Rules:

• Normal Sudoku rules apply.


• Draw a one-cell-wide snake of orthogonally connected cells. The snake may touch itself diagonally but not orthogonally and must visit all boxes exactly once.


• A digit on the snake, that is not an endpoint, is coprime to exactly one of its snake-neighbours, meaning their greatest common factor is 1.


• The two endpoints of the path contain the same digit, and exactly one of them has a coprime snake-neighbour.


• Cells separated by a white dot contain consecutive digits AND are not on the snake.


• Clues outside the grid indicate the sum of the digits along the indicated diagonal. Digits can repeat along the diagonal if allowed by other rules.