Non capture positions

Win: 631.884 (0.1%)
Draw: 40.275.061 (6.7%)
Lose: 563.676.841 (93.2%)

All positions

Win: 2.841.229 (0.3%)
Draw: 118.975.755 (12.7%)
Lose: 813.243.416 (87.0%)

Native examples were selected after counting from 12174 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 3, Black 12.

W:W8,13:B1,K23,K24,33

MoveResult
8-2Win
8-3Loss
13-9Loss

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 2, Black 4.

W:W6,10:BK25,35,K40,45

MoveResult
10-4Loss
6-1Draw
10-5Loss

Mutual zugzwang

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

No qualifying example proved from the available WDL data.

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 3, Black 12.

W:W8,13:B1,K23,K24,33

MoveResult
8-2Win
8-3Loss
13-9Loss

Win with fewer pieces

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

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White to move: Win. Pip count: White 3, Black 12.

W:W8,13:B1,K23,K24,33

MoveResult
8-2Win
8-3Loss
13-9Loss

Draw with fewer pieces

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

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White to move: Draw. Pip count: White 2, Black 4.

W:W6,10:BK25,35,K40,45

MoveResult
10-4Loss
6-1Draw
10-5Loss

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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Black to move: Win. Pip count: White 3, Black 10.

B:W10,15:B7,K24,39,K42

MoveResult
24-19Draw
24-13Draw
24-8Draw
24-2Draw
24-20Win
24-29Draw
24-33Draw
24-38Draw
24-30Draw
24-35Draw
42-37Draw
42-31Draw
42-26Draw
42-38Draw
42-33Draw
42-29Draw
42-47Draw
42-48Draw
7-12Draw
39-44Draw
7-11Draw
39-43Draw

Promotion trap

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

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Black to move: Win. Pip count: White 3, Black 2.

B:W6,11:BK29,44,45,K47

MoveResult
29-23Win
29-18Win
29-12Win
29-7Draw
29-1Win
29-24Win
29-20Draw
29-15Draw
29-33Draw
29-38Draw
29-42Draw
29-34Win
29-40Win
47-41Win
47-36Win
47-42Win
47-38Win
47-33Draw
44-50Draw
44-49Win
45-50Win

Both sides at highest pip count: win

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

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

B:W46,47:B4,5,K39,K40

MoveResult
39-33Win
39-28Win
39-22Win
39-17Win
39-11Win
39-6Win
39-34Win
39-30Win
39-25Win
39-43Win
39-48Win
39-44Win
39-50Win
40-34Win
40-29Win
40-23Win
40-18Win
40-12Win
40-7Win
40-1Win
40-35Win
40-44Win
40-49Win
40-45Win
4-10Win
4-9Win
5-10Win

Both sides at highest pip count: loss

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

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950

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

W:W46,47:B4,5,K39,K40

MoveResult
47-41Loss
46-41Loss
47-42Loss