Logic Masters Deutschland e.V.

Killer Fillomino??

(Published on 23. June 2024, 18:52 by Jreg)

Click HERE to solve this puzzle in SudokuPad!

Standard Sudoku rules: place the digits 1-6 once in every row, column and 3×2 box.

Killer fillomino: Fill the entire grid with polyominoes according to the following rules:

1) A polyomino is a group of orthogonally connected cells.
2) Digits do not repeat in a polyomino.
3) Digits in a polyomino of size N sum to the multiple of N.
4) A digit in a circle displays the size of the polyomino to which that particular circle belongs. Each polyomino has its own circle.
5) No polyomino is contained entirely within a single 3×2 box; i.e. each polyomino crosses at least one box border.
6) Polyominoes of the same size cannot share an edge, though they may touch diagonally.

You may need a calculator!


Solution code: Digits in row 1 followed by digits on row 2 (no spaces, a total of 12 digits).

Last changed on on 23. June 2024, 19:27

Solved by SKORP17, jkuo7, ascension, xkbz0809, sth, Sewerin, QuiltyAsCharged
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Comments

Last changed on 17. August 2024, 08:11

on 17. August 2024, 07:44 by QuiltyAsCharged
Wow! Great idea for a ruleset. I found it really challenging and I had to carefully whittle down the options. But at the end I had some insights and realized I could have saved myself a lot of time. Excellent puzzle, thank you

on 23. June 2024, 19:27 by Jreg
Revision: Fixed a typo in the solution code, thank you SKORP!

Difficulty:3
Rating:N/A
Solved:7 times
Observed:3 times
ID:000IN7

Puzzle variant New Small

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Solution code:

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