Logic Masters Deutschland e.V.

Modular X-Sums

(Published on 7. February 2025, 09:48 by jcgodart)

Rules:

  • Normal sudoku rules do NOT apply. Fill in the 9x9 grid with digits, which cannot repeat in any row, column or 3x3 box.
  • Modular lines: every three succesive cells along a line must contain numbers forming a full set of residue classes modulo 3.
  • Global modularity : every 2x2 square within the 9x9 grid must contain at least a digit of each residue classes modulo 3.
  • X-Sums : clues outside the grid equal the sum of the first N digits seen from clue, where N is the first digit seen.
  • Black dots separate digits where one is twice the other. White dots separate consecutive digits. Not all dots are necessarilly given.
  • Note: any numbers entered outside the grid are ignored for solution-checking purposes.

Play online with Sudoku Pad.

In case you get stuck, here's a video solve.

Solution code: Column 6 (9 digits)

Last changed on on 8. February 2025, 04:04

Solved by SKORP17, Justalilguy, Snookerfan, cryptique, geronimo92, marcmees, AKropki
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Comments

on 8. February 2025, 04:04 by jcgodart
Added link to video solve

on 7. February 2025, 20:35 by Snookerfan
Very nice! Because of quite a long solve time, I rated this puzzle hard. Thank you

Last changed on 7. February 2025, 16:04

on 7. February 2025, 14:01 by StefanSch
Which normal sudoku rule do not apply?

jcgodart : it's up to you to discover

Difficulty:3
Rating:N/A
Solved:7 times
Observed:0 times
ID:000LX9

Puzzle variant Online solving tool Arithmetic puzzle

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