Non capture positions

Win: 170.641 (24.0%)
Draw: 451.336 (63.5%)
Lose: 88.695 (12.5%)

All positions

Win: 276.206 (30.6%)
Draw: 530.815 (58.8%)
Lose: 96.419 (10.7%)

Native examples were selected after counting from 15215 sampled White-quiet boards, including targeted starting-rank and losing candidates. Statistics still cover every enumerated position. An absent example does not prove the category is absent.


Special WDL positions

One example per category. Every starting position is double quiet: neither side has a capture. Results and move outcomes are relative to the player to move in the diagram. Kings have a double ring.

White-to-move examples are preferred; Black-to-move examples are retained when no qualifying White-to-move example was found.

Pip count means remaining rank distance to promotion (kings: zero). Highest pip count puts men nearest their starting ranks; both sides must simultaneously attain their material's maximum. Material disadvantage means fewer pieces.

Only move to win

At least three legal moves; exactly one wins and every alternative draws or loses.

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White to move: Win. Pip count: White 18, Black 4.

W:W49,50:B35,45

MoveResult
49-43Loss
50-44Loss
49-44Win

Only move to draw

At least two legal moves; exactly one draws and every alternative loses.

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White to move: Draw. Pip count: White 13, Black 2.

W:W21,46:B43,45

MoveResult
21-16Loss
21-17Draw
46-41Loss

Mutual zugzwang

On this same board, White to move loses and Black to move loses.

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White to move: Loss. Pip count: White 18, Black 7.

W:W48,50:B18,45

MoveResult
48-42Loss
50-44Loss
48-43Loss

Whoever moves wins

On this same board, White to move wins and Black to move wins.

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White to move: Win. Pip count: White 18, Black 4.

W:W49,50:B35,45

MoveResult
49-43Loss
50-44Loss
49-44Win

Win with fewer pieces

The player to move has fewer pieces and a proven win.

No qualifying example proved from the available WDL data.

Draw with fewer pieces

The player to move has fewer pieces and a proven draw.

No qualifying example proved from the available WDL data.

Unique winning sacrifice

Exactly one of at least two moves wins; every compulsory reply captures the piece offered by that move.

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White to move: Win. Pip count: White 15, Black 10.

W:W36,41:B4,42

MoveResult
36-31Loss
41-37Win

Promotion trap

A promotion draws or loses, while a non-promoting move wins.

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White to move: Win. Pip count: White 8, Black 9.

W:W6,39:B12,40

MoveResult
39-33Draw
6-1Draw
39-34Win

Both sides at highest pip count: win

Both sides attain their maximum pip count; the player to move wins.

No qualifying example proved from the available WDL data.

Both sides at highest pip count: loss

Both sides attain their maximum pip count; the player to move loses.

No qualifying example proved from the available WDL data.

White wins with Black on its starting rank; White closest to home

White to move wins, with all Black pieces on squares 1-5. Among the qualifying positions inspected, select the greatest White pip count (men closest to their starting rank).

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White to move: Win. Pip count: White 17, Black 18.

W:W41,48:B4,5

MoveResult
41-36Win
48-42Draw
41-37Win
48-43Draw

The Black-starting-rank category additionally inspected 328 candidate boards, working outward from White's starting rank, with a limit of 20000. It shows the closest proven winner found; unavailable results remain unresolved.