Logic Masters Deutschland e.V.

Compact complexity

(Published on 2. October 2025, 12:36 by Duarte-Carvalho)

Place subsets of the digits 1-9 into every row, every column, and every 2x2 box so that no digit is repeated in any row, column, or box. Even: grey squares must contain an even digit. Odd: grey circles must contain an odd digit. Killer cages: digits in a killer cage must sum to the number in the top left corner. Kropki: digits separated by a black dot are in an 1:2 ratio (i.e. one digit is double the other). XV: digits separated by an X must sum to 10 The numbers of two orthogonally adjacent squares may not be consecutive. Any two cells separated by a knight's move or a king's move (in chess) cannot contain the same digit. Digits may not repeat along the positive diagonal. Digits may not repeat along the negative diagonal.

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Solution code: Rows 1; 3 and 4 (12 digits)

Last changed on on 9. October 2025, 17:03

Solved by naggy, xrrx, Scorps, Lozzo, XhcnoirX, mabjim007, ludvigr04, StephenEsven, Kiwo, jalebc, Mozart40, Dacmon, SKORP17, daakitsu, flutchman, thomamas, Treme, Imorus, Mr. Happy, RobJH, Marshal on Mars, ... jgarber, SeveNateNine, SharpFox, Megalobrainiac, 1729thTaxi, NetFelix, zrbakhtiar, josemadre, Mathemagier, dzamie, Dermerlin, Onyx, Maxim, abihummel, Brandonreider13, annnz, gadgetgreen, sarabtx
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Comments

on 9. October 2025, 17:03 by Duarte-Carvalho
adding tags

on 6. October 2025, 00:09 by Duarte-Carvalho
Adding link to other puzzles.

on 3. October 2025, 05:25 by Marshal on Mars
Fun puzzle. The positive diagonal rule actually isn't needed. Also I'd recommend rewording "The numbers of two orthogonally adjacent squares may not be consecutive" to "The numbers of two orthogonally adjacent cells may not be consecutive" since there are also gray squares with their own rules and the current wording may imply (incorrectly) that it's about those squares.

Difficulty:2
Rating:86 %
Solved:46 times
Observed:0 times
ID:000PGQ

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