Logic Masters Deutschland e.V.

Modulo-Region-Sum

(Published on 21. June 2025, 08:15 by lcy.30)

Normal Sudoku rules apply. (Put digits 1 to 9 in every row, column and 3x3 box.)
  • Modulo-Region-Sum Lines: Along a teal line, every set of three sequential digits contain a complete set of residuals modulo 3, i.e., one digit from {1,4,7}, one from {2,5,8}, and one from {3,6,9}. Box borders divide each teal line into segments with the same sum.
  • Kropki Dots: Cells separated by a black dot have a 1:2 ratio.

Try the puzzle on the SudokuPad app by Sven Neumann.

Hint: The property of modular lines combined with the region sum lines will help you determine the sum or possible sums of some line. The black dots are used to determine the remaining digits.

Solution code: Row 9, from left to right.

Last changed on on 21. June 2025, 16:28

Solved by Sotehr, tgstar, zuzanina, Quizzmo, damo_89, Krisonium, dickey, sujoyku, Calvinball, SKORP17, Fenners, mabjim007, vitaminz, b413x, jqhc, Julianl, Nagesh, addie, by81996672, Johannes Quack
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Comments

on 21. June 2025, 16:28 by lcy.30
Adjusted difficulty based on comments.

on 21. June 2025, 16:27 by Calvinball
Very neat puzzles with some surprising deductions that one needs to work out.

on 21. June 2025, 16:19 by sujoyku
This felt a lot harder than 2 stars to me, so I have even given 4 stars for difficulty. But while being tricky, it was super interesting to work out the interactions. Thank you for the fun puzzle, Icy.30!

on 21. June 2025, 13:39 by damo_89
One tricky step in the mid solve justifies a 3* in my opinion, still very nice

Difficulty:3
Rating:87 %
Solved:20 times
Observed:3 times
ID:000NRI

Puzzle variant Variant combination New

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