Kings in opposition or near-opposition in a pawn endgame, with both kings active and no pieces other than pawns.

By · · 3 min read · Updated May 8, 2026

SAE concept sae_3345 fires when kings in opposition or near-opposition in a pawn endgame, with both kings active and no pieces other than pawns.. It appears in 518 of 9,950 Climbchess puzzles (5.2%), spanning ELO 614–2680 (median 1693).

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This page documents Kings in opposition or near-opposition in a pawn…, one of 4,505 interpretable chess concepts extracted from Leela Chess Zero via sparse autoencoders. The full feature description from our SAE labelling pipeline reads:

Kings in opposition or near-opposition in a pawn endgame, with both kings active and no pieces other than pawns.

This pattern fires in 518 of our 9,950 tagged puzzles. The puzzles where it appears span ELO 614 to 2680, with a median rating of 1693. That distribution tells you whether this is a beginner cue or a master-level subtlety.

Pattern statistics

Concept IDsae_3345
Puzzles where it fires518
Min ELO614
Median ELO1693
Max ELO2680
Coverage5.21% of puzzle set

Related concepts

The five concepts most often co-firing alongside this one (Jaccard similarity over the puzzle co-occurrence graph) are:

Example puzzles

Below are 10 puzzles spanning the rating distribution. Each links to its own page with full move list and related concepts.

How to use this page

If you want to train this pattern, open the Climbchess trainer and filter for puzzles tagged with this concept. The trainer surfaces them at the right difficulty for your current rating, and tracks how often you spot the cue versus miss it. You can also browse the related concepts above to see neighbouring ideas in feature space.

Climbchess concepts are not heuristics written by a human author. Each one corresponds to a single direction in the residual stream of Leela Chess Zero that activates on a specific board feature, then was labelled by reading the top-activating positions. This makes the catalogue exhaustive (every Leela-detectable pattern is in here somewhere) and falsifiable (you can replay our extraction).

Frequently asked

What is SAE concept sae_3345?

Kings in opposition or near-opposition in a pawn endgame, with both kings active and no pieces other than pawns. It is one of 4,505 interpretable features extracted from Leela Chess Zero's residual stream via sparse autoencoders, then labelled by reading the top-activating positions.

Where does this pattern appear?

In 518 tagged puzzles (5.2% of the set), spanning Lichess ELO 614 to 2680 with a median of 1693.

How do I train it?

Open the Climbchess trainer and filter for puzzles tagged with this concept. The trainer adapts difficulty using your live recognition profile and tracks how often you spot the cue versus miss it.

Is it free?

Yes. Climbchess is free forever, with no account, email, or signup required. You can delete your data at any time.