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AIC

Extreme· L10
Elimination

Also known as Alternating Inference Chain.

An AIC (*Alternating Inference Chain*) is a flexible chain of strong and weak inferences. It can hop across digits and pattern types — X-Chain and XY-Chain are special AICs, and many named patterns are “just short AICs.”

Before this: X-Chain, XY-Chain, and many wings/fish endings are special AICs.

Why it works

Strong inference: if A is false, B is true. Weak inference: if A is true, B is false.

Alternating them from end to end means the two strong endpoints cannot both be false. Anything that sees both endpoints is eliminated — same “stung either way” idea, with more kinds of links allowed.

How to spot it

Prefer chains that are strong at both ends. Think: if this end is false → the other end is true.

Demonstration

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Follow alternating strong and weak inferences across the grid. Prefer strong at both ends.

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The green cells outline an AIC involving 2.

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The chain proves the two ends cannot both be false — if one end is false, the other must be true.

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Eliminate candidates that see both ends (red) (here 2).

Example 1

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Trace an alternating inference chain.

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This AIC yields eliminations on 2.

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Remove the marked candidates (red) (here 2). Both ends cannot be false, so shared neighbors are stung.

Example 2

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Trace an alternating inference chain.

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This AIC yields eliminations on 7.

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Remove the marked candidates (red) (here 7). Both ends cannot be false, so shared neighbors are stung.

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