Logic Masters Deutschland e.V.

Geartrain

(Published on 25. July 2024, 20:42 by DarthParadox)

If you'd like a somewhat easier introduction to these rules, check out Moduloops!

Place the digits 1-9 once into each row, column, and 3x3 box.

XV and Kropki dots work modulo 9:

  • Two digits separated by an X must sum to 10.
  • Two digits separated by a V must sum to either 5 or 14.
  • Two digits separated by a white dot must be consecutive; 1 and 9 are consecutive.
  • Two digits separated by a black dot must be in a 1:2 ratio modulo 9, meaning that one digit multiplied by 2 must be equal to either the other digit or the other digit plus 9. For example, 5 and 1 can be separated by a black dot, because 5 x 2 = 10 = 1 + 9.

Online solver: SudokuPad

Solution code: Row 8, left to right

Last changed on on 29. July 2024, 18:59

Solved by SKORP17, kublai, PierreTombal, bansalsaab, filuta, Toomas_, lmdemasi, Snookerfan, zhall12570, asii, Megalobrainiac, atomvic, Dentones, Mikemerin, PippoForte
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Comments

on 29. July 2024, 18:59 by DarthParadox
Added link to Moduloops

on 27. July 2024, 14:08 by Snookerfan
Great puzzle! Thank you

on 26. July 2024, 11:57 by filuta
Great idea and wonderfully implemented.

on 26. July 2024, 11:13 by Toomas_
Brilliant execution of ideas! Thanks for the very nice puzzle :)

Difficulty:4
Rating:84 %
Solved:15 times
Observed:6 times
ID:000J3G

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