Logic Masters Deutschland e.V.

Cross Purposes (Quad Sums Killer Anti-King)

(Published on 6. June 2022, 02:42 by tallcat)

Was inspired by Udukos' brilliant 'Quad Sums Sudoku' and Grkles 'Quandary' to set a puzzle with the Quad Sums constraint. Hope you enjoy, and let me know what you think!

Normal Sudoku rules apply

Quad Sums: For each set of four cells touched by the same circle, the sum of three of the cells must equal the fourth cell. Not all circles have been given.

Anti-King: Cells a king's move apart in chess may not contain the same digit.

Killer: Digits in cages must sum to the given total.



Can be played online at f-puzzles or CTC

Solution code: Row 2 (left to right) followed by column 8 (top to bottom). 18 digits, no spaces.


Solved by Elliott810, Bjd, udukos, Andrewsarchus, PulverizingPancake, Vebby, AvonD, grkles, the_cogito, abed hawila, kolot, SirWoezel, polar, tinounou, Playmaker6174, arialy, SSG, fjam, twototenth, ... karlmortenlunna, hoogachakka, Christounet, Bellsita, Bobbobert, tess, roflsalot, gdc, isajo4002, gxorgx, valle1124, Qodec, mcs131313, mezkur7, SudokuHero, Piatato, PsychedelicCreature
Full list

Comments

on 3. February 2026, 22:53 by Piatato
Cool!

on 21. December 2025, 08:20 by mezkur7
https://sudokupad.app/iwlp08x2w1

on 27. August 2023, 00:03 by Christounet
Cool break-in, with clever interactions between the very sparse clues in the grid. Thanks !

on 22. June 2022, 18:52 by Niverio
Wonderful! Such an elegant break-in!

on 12. June 2022, 19:17 by ocaly
What a great break-in and loved the logic!
Very nice :)

(note to myself: solved it two days ago around this time but forgot to fill in the solution code)

on 10. June 2022, 00:34 by peacherwu2
Enjoyed every minute. Brilliant idea!

on 9. June 2022, 18:13 by Playmaker6174
Absolutely fabulous puzzle, from the beautiful opening sequence to the nice interactions later on, that quad sum in box 1 is really funky there :)

on 8. June 2022, 13:51 by kolot
Very nice puzzle!

on 8. June 2022, 09:17 by abed hawila
Superb puzzle!

on 7. June 2022, 02:03 by Andrewsarchus
Beautiful break-in!

on 6. June 2022, 20:44 by udukos
Great puzzle with a cool entry. Thanks, tallcat!

on 6. June 2022, 06:13 by Elliott810
Beautiful construction! Thanks:)

Difficulty:4
Rating:99 %
Solved:68 times
Observed:13 times
ID:000A58

Enter solution

Solution code:

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