Logic Masters Deutschland e.V.

Super excited with this puzzle and the concept of pentomino snakes in general! Here is my first crack at this sort of ruleset, more to come in the future! Please enjoy!

Rules:

➡ Normal sudoku rules apply.

➡ Draw three snakes in the grid by connecting the yellow, green, and blue dots to their respective partner.

➡ Each snake is an orthogonally connected set of cells that doesn't branch, doesn't touch itself (even diagonally), and doesn't share cells with any other snake.

➡ Digits in a gray square are even, and digits in a gray circle are odd. Cells containing a square or circle may not lie on any snake. Digits in a square or circle indicate how many of the surrounding (up to 8) cells belong to a snake.

➡ Divide each snake into contiguous groups of 5 cells, i.e., pentominoes, such that every cell along each snake belongs to exactly one pentomino. No two pentominoes in the entire grid may be of identical shape. Two pentominoes are considered identical shape if they can be mapped into each other by pure rotation (for example L and ꓶ). Pentominoes are considered different shapes if they require a reflection in order to be mapped into each other (for example L and ⅃), or cannot be mapped into each other at all (for example L and I).

➡ One of the snake paths creates a Dutch whisper line, where adjacent digits along the line must differ by at least 4.

➡ One of the snake paths creates a palindrome, where digits read the same in both directions.

➡ One of the snake paths creates a renban line, where digits along the line create a set of consecutive digits without repeats, in any order.

➡ The solver must determine which snake is the Dutch whisper, palindrome, and renban line.

➡ Digits separated by a black dot are in a 1:2 ratio.

➡ Digits separated by a white dot are consecutive.

➡ Not all possible dots are necessarily given.


Play on SudokuPad