Logic Masters Deutschland e.V.

Minimality deductions proof of concept

(Published on 21. February 2026, 18:15 by SudokuFan)

Proof of concept of new (to me) metalogic

  • Yin-Yang: Place either a 0 or a 1 in each cell such that all 0s are orthogonally connected, all 1s are orthogonally connected, and every 2x2 area contains both 0s and 1s.
  • Fog: Some cells are hidden by "fog" meaning you cannot see their contents. Some fog may be removed when a digit is correctly filled. Digits can be logically deduced, no guessing is needed.
  • Minimality: The puzzle has a unique solution when all the fog has been cleared, but removing any given digit would make the puzzle nonunique.

Play in SudokuPad

Hint: three lemmas about Yin-Yang puzzles in general

Solution code: Row 4

Last changed on on 21. February 2026, 18:20

Solved by SKORP17, PippoForte, saskia-daniela, CJK, TheZwierz, Crulamin, LJ Jamie, WvdWest, puzzler05, webato, kangaroo, Blake Saligia
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Comments

on 23. February 2026, 03:03 by LJ Jamie
The domino hint and the "removing any given digit" rules are vital but make for a very rewarding puzzle

on 21. February 2026, 18:20 by SudokuFan
fixed link

Difficulty:2
Rating:N/A
Solved:12 times
Observed:0 times
ID:000RKH

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