Logic Masters Deutschland e.V.

Modular Lines 2

(Published on 22. April 2022, 03:08 by FullDeck-Missing)

Normal Sudoku rules apply: Each row, column, and 3x3 box contains each number from 1 to 9 exactly once.

Normal killer cage rules apply: digits in cages cannot repeat and must sum to the number shown in the upper left corner of the cage.

Modular lines: every set of three sequential digits along a line must contain a complete set of residues modulo 3, i.e. one digit from {1,4,7}, one from {2,5,8}, and one from {3,6,9}. Digits on two-cell lines cannot be from the same residue set. Digits may repeat on a line if allowed by other rules.

Another puzzle with a similar rule set:

Solution code: Row 9 (from left to right) followed by Column 5 (from top to bottom); 18 digits with no spaces.


Solved by davidjshort, mosse, m0rkoli, Matti64, SKORP17, tubahat, WarriorKitten, Julianl, jcgodart, Nunya, Notlob, danmeehan91324, djorr, karen_birgitta, Montinox, Puzzle Farmer, Vebby, tobymgk, BellBear, glippiglop, derKrampus, chain.reader, zorant, alh8, zrbakhtiar, morgannamodeaura, Taikatalvy, gdc, humaLautema, jalebc, DreamLibrarian, Luaryo, forsen
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Comments

on 12. May 2022, 21:00 by Hausigel_mod
Added label for Online solving tool

Last changed on 22. April 2022, 16:14

on 22. April 2022, 11:14 by m0rkoli
I loved it, haven't done this mod3 lines, so took a second to understand, but after that, what a ride!

>> Thank you! As far as we know, this is a new constraint but JC Godart and Raumplaner have both been using it as well since we introduced it. If you're looking for more puzzles with this constraint, we have one already on LMD and several more that we'll be uploading over the next few weeks.

Difficulty:3
Rating:86 %
Solved:33 times
Observed:4 times
ID:0009PQ

Variant combination Online solving tool

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Solution code:

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