LEVEL 9

Alternating Inference Chain

Strong and weak links across candidates form a logical implication chain.

How to find it

  1. Choose a candidate proposition.
  2. Alternate strong and weak implications across houses and cells.
  3. Use matching endpoints or a contradiction to justify the elimination.

Candidate-map demonstration

The violet cells mark the pattern and the gold cell marks the resulting placement or elimination. Treat this compact map as orientation; use the verified full puzzle below to practise the actual deduction.

Common mistakes

  • Using cells that do not share the required row, column, box or peer relationship.
  • Removing a candidate before confirming every occurrence in the pattern.
  • Confusing a possible pattern with a completed logical proof.

VERIFIED PRACTICE

Alternating Inference Chain training

Loading a mathematically verified puzzle state…

Apply this technique in a real puzzle