Partial 3150: White to move

All results are relative to White. Black-to-move source positions are rotated 180 degrees and their colors exchanged. Bounds and unknown remain distinct.

Opposite material: White to move

Full count | Special positions | Back to statistics


Full count

All positions

White to move. Captures included. Percentages use this category's legal total.

Win: 270.671.174.609 (51.1%)
Draw: 222.417.918.829 (42.0%)
Lose: 7.972.084.594 (1.5%)
Loss or draw: 1.861.245.116 (0.4%)
Draw or win: 25.937.197.512 (4.9%)
Unknown: 565.198.200 (0.1%)

Exact value: 501.061.178.032 (94.6%)
Legal: 529.424.818.860

Non capture positions

White to move. White has no capture. Percentages use this category's legal total.

Win: 43.151.812.762 (38.2%)
Draw: 40.703.903.450 (36.1%)
Lose: 620.948.273 (0.6%)
Loss or draw: 1.861.245.116 (1.6%)
Draw or win: 25.937.197.512 (23.0%)
Unknown: 565.198.200 (0.5%)

Exact value: 84.476.664.485 (74.9%)
Legal: 112.840.305.313

Fully quiet positions

White to move. Neither side has a capture. Percentages use this category's legal total.

Win: 25.040.750.178 (33.7%)
Draw: 28.515.273.774 (38.4%)
Lose: 380.937.547 (0.5%)
Loss or draw: 1.621.052.442 (2.2%)
Draw or win: 18.283.790.739 (24.6%)
Unknown: 480.308.594 (0.6%)

Exact value: 53.936.961.499 (72.6%)
Legal: 74.322.113.274

Saved slices: 1723; mirrored slices: 0. Invalid or unreadable files excluded: 0. Counts cover saved and color-reversed mirrored slices; examples sample saved slices. Header and file length checked; payload checksum and WDL correctness are not verified by this report.

Random validation examples: single-board viewer | JSON (13784 positions; 0 slices with fewer than eight).

Example search: sampled. Examined 997690 of 861921934500 saved physical-board indexes (461871 legal, 211348 double quiet). Large reports inspect at most 1000000 indexes in evenly spaced windows across saved slices. An absent example does not prove that the category is absent.

Only exact partial WIN/DRAW/LOSS values qualify as example results. Bounds and unknown alternatives remain distinct. DPART002 blocks used for examples have their block checksums checked; full-file checksums and independent WDL correctness are not verified.


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.

All diagrams and move results are for White to move.

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.

Only move to win

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

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950

White to move: Win. Pip count: White 24, Black 45.

W:WK26,36,41,46:B1,2,3,4,5

MoveResult
26-21Draw
26-17Draw
26-12Draw
26-8Loss
26-31Draw
26-37Draw
26-42Win
26-48Draw
36-31Loss
41-37Loss

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 22, Black 44.

W:WK26,37,38,45:B1,2,3,4,7

MoveResult
26-21Loss
26-17Loss
26-12Loss
26-8Loss
26-31Draw
37-31Loss
38-32Loss
45-40Loss
37-32Loss
38-33Loss

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 27, Black 45.

W:WK46,48,49,50:B1,2,3,4,5

MoveResult
46-41Win
46-37Win
46-32Win
46-28Win
46-23Win
46-19Loss
46-14Loss
46-10Loss
48-42Win
49-43Loss
50-44Loss
48-43Loss
49-44Loss
50-45Loss

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 9, Black 44.

W:W18,19,20,K26:B1,2,3,4,8

MoveResult
26-21Loss
26-17Loss
26-12Loss
26-31Draw
26-37Draw
26-42Draw
26-48Draw
18-12Draw
19-13Win
20-14Loss
18-13Draw
19-14Draw
20-15Loss

Promotion trap

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

No qualifying example proved from the available WDL data.

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 27, Black 45.

W:WK47,48,49,50:B1,2,3,4,5

MoveResult
47-41Win
47-36Win
47-42Win
47-38Win
47-33Win
47-29Win
47-24Win
47-20Win
47-15Win
48-42Win
49-43Win
50-44Win
48-43Win
49-44Win
50-45Win

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 27, Black 45.

W:WK47,48,49,50:B1,2,3,4,5

MoveResult
47-41Win
47-36Win
47-42Win
47-38Win
47-33Win
47-29Win
47-24Win
47-20Win
47-15Win
48-42Win
49-43Win
50-44Win
48-43Win
49-44Win
50-45Win

Some dependency probes were unavailable or exceeded the memory budget. Unknown alternatives were not treated as draws; categories without an example may be incomplete.

The Black-starting-rank category additionally inspected 0 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.

Example reader: 6602 block reads; 0 invalid or unreadable dependency files/blocks excluded.