Logic Masters Deutschland e.V.

Ant Mill Sudoku

(Published on 3. December 2022, 19:30 by rockratzero)

Ant Mill Sudoku

I really like how this turned out! Enjoy!

Normal Sudoku Rules Apply
Place the digits 1-9 in each row, column, and box with no repetition.

Ant Mill Rules Apply
Shade some dominoes in the grid to form a single loop.
- Two dominoes may not be orthogonally adjacent.
- Every domino is diagonally adjacent to exactly two other dominoes.
- All dominoes form a diagonally connected area.
- Cells separated by a white circle must both be shaded or both be unshaded.
- An X mark overlaps exactly one shaded cell.

Additionally, treat all shaded dominoes as 2-cell "Killer Cages" with values of '9'. The two digits in each of these cages will sum to '9'.

Cells connected by an X sum to 10. Cells connected by a white circle (kropki dot) are consecutive. Not all possible Xs and dots are given.

Links
SudokuPad Link

Solution code: Digits from Row 6 of the solution, followed by the number of shaded cells in Box 1, followed by the number of shaded cells in Box 9 (Eleven digits, no spaces)


Solved by prodigis, angusg, Fw1728, OhHeyGuysItsMax, AnalyticalNinja , Notlob, ClashCode, EuroRama95, kublai, ademjaz, Myxo, fjam, riffclown, randall, fca.felix.sudoku, Jaych, Crul, SKORP17, OGRussHood, PippoForte, Jodelbanane, rich_27
Full list

Comments

on 11. December 2022, 02:18 by riffclown
Beautiful and Surprisingly Approachable.

on 8. December 2022, 03:38 by Myxo
Really nice introduction to ant mill logic!

on 4. December 2022, 03:46 by AnalyticalNinja
That was a very cool puzzle! I stumbled at first, but it became incredibly smooth once I started asking myself the right questions. Very well done creating this really cool puzzle!

Difficulty:3
Rating:88 %
Solved:22 times
Observed:8 times
ID:000C81

Puzzle combination Variant combination New Path puzzle Shading puzzle

Enter solution

Solution code:

Login