Modulo Killer
(Published on 16. January 2024, 15:36 by PDN777)
Normal sudoku rules apply. Digits in a cage must sum to the little number in the upper left, and may not repeat in the cage. The lines are modulo lines. Any set of three sequential cells along a modulo line must contain one digit X which yields X mod 3 = 0; one digit Y which yields Y mod 3 = 1; and one digit Z which yields Z mod 3 = 2. (The modulo operation generates the remainder when dividing). So for a 9 x 9 sudoku, the mod 3=0 digits are (3,6,9); the mod 3=1 digits are (1,4,7), and the last set is (2,5,8). Note: the cage in R5/C456 is a 6-cage. I think this puzzle is 2 stars out of 5 for difficulty for many solvers. As always, comments welcome. Thanks!
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Solution code: First row of puzzle, and fourth column of puzzle (read top to bottom). Enter as a string of 18 digits, no spaces.
Comments
on 18. January 2024, 22:34 by michael_787
An enjoyable colouring exercise. Thanks for setting.
on 17. January 2024, 19:11 by Jorava
Basically a coloring puzzle. It was fun!
** Yes. Thanks for the solve!
on 17. January 2024, 16:01 by PDN777
@jacques, @PinkNickels, and @Guillem98: I enjoyed your comments! Thanks for flying PDN Puzzles! :-)
on 17. January 2024, 01:58 by jacques_
Really enjoyed this one, thanks for setting!
on 16. January 2024, 19:57 by PinkNickels
Very nice! thanks for sharing
on 16. January 2024, 17:31 by Guillem98
Enjoyable puzzle, thanks for it
