Non capture positions

Win: 422.782.725 (50.5%)
Draw: 397.218.117 (47.5%)
Lose: 17.051.943 (2.0%)

All positions

Win: 961.450.157 (58.5%)
Draw: 655.554.052 (39.9%)
Lose: 25.953.541 (1.6%)

Native examples were selected after counting from 15942 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 20, Black 14.

W:W6,25,35,47:B12,19,44

MoveResult
25-20Draw
35-30Draw
47-41Draw
6-1Win
47-42Draw

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 28, Black 21.

W:W6,48,49,50:B1,2,31

MoveResult
48-42Draw
49-43Loss
50-44Loss
48-43Loss
49-44Loss
50-45Loss

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 20, Black 20.

W:W6,13,45,49:B1,3,39

MoveResult
13-8Loss
45-40Loss
49-43Loss
13-9Loss
49-44Loss

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 28, Black 21.

W:W6,48,49,50:B1,2,32

MoveResult
48-42Win
49-43Loss
50-44Loss
48-43Loss
49-44Loss
50-45Loss

Win with fewer pieces

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

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Black to move: Win. Pip count: White 24, Black 11.

B:W6,34,43,46:B1,44,45

MoveResult
1-7Draw
44-50Win
44-49Win
45-50Win

Draw with fewer pieces

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

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Black to move: Draw. Pip count: White 27, Black 14.

B:W6,44,46,47:B1,32,37

MoveResult
1-7Loss
32-38Draw
37-42Loss
37-41Loss

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 21, Black 14.

W:W6,30,39,41:B13,21,40

MoveResult
30-24Draw
39-33Draw
41-36Draw
6-1Draw
30-25Draw
39-34Win
41-37Draw

Promotion trap

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

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White to move: Win. Pip count: White 21, Black 14.

W:W6,30,39,41:B13,21,40

MoveResult
30-24Draw
39-33Draw
41-36Draw
6-1Draw
30-25Draw
39-34Win
41-37Draw

Both sides at highest pip count: win

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

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White to move: Win. Pip count: White 36, Black 27.

W:W46,47,49,50:B3,4,5

MoveResult
47-41Win
49-43Win
50-44Win
46-41Win
47-42Win
49-44Win
50-45Win

Both sides at highest pip count: loss

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

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Black to move: Loss. Pip count: White 36, Black 27.

B:W46,47,49,50:B3,4,5

MoveResult
3-9Loss
4-10Loss
3-8Loss
4-9Loss
5-10Loss