Partial 4140: 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: 571.201.350.211 (86.1%)
Draw: 72.323.675.710 (10.9%)
Lose: 1.081.492.206 (0.2%)
Loss or draw: 103.794.518 (0.0%)
Draw or win: 18.841.550.960 (2.8%)
Unknown: 134.264.745 (0.0%)

Exact value: 644.606.518.127 (97.1%)
Legal: 663.686.128.350

Non capture positions

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

Win: 124.606.098.286 (78.9%)
Draw: 14.172.044.464 (9.0%)
Lose: 4.434.620 (0.0%)
Loss or draw: 103.794.518 (0.1%)
Draw or win: 18.841.550.960 (11.9%)
Unknown: 134.264.745 (0.1%)

Exact value: 138.782.577.370 (87.9%)
Legal: 157.862.187.593

Fully quiet positions

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

Win: 78.781.799.214 (75.8%)
Draw: 9.811.092.221 (9.4%)
Lose: 3.452.235 (0.0%)
Loss or draw: 95.410.561 (0.1%)
Draw or win: 15.152.381.380 (14.6%)
Unknown: 130.810.953 (0.1%)

Exact value: 88.596.343.670 (85.2%)
Legal: 103.974.946.564

Saved slices: 1724; 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 (13792 positions; 0 slices with fewer than eight).

Example search: sampled. Examined 998470 of 1104988475250 saved physical-board indexes (697968 legal, 365987 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.

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White to move: Win. Pip count: White 36, Black 9.

W:WK45,47,48,49,50:B31,36,37,38

MoveResult
45-40Draw
45-34Draw
45-29Draw
45-23Win
45-18Draw
45-12Draw
45-7Draw
45-1Draw
47-41Draw
48-42Draw
49-43Draw
50-44Draw
47-42Loss
48-43Draw
49-44Draw

Only move to draw

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

No qualifying example proved from the available WDL data.

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 35, Black 16.

W:WK19,45,46,47,48:B16,20,35,44

MoveResult
19-13Loss
19-8Loss
19-2Loss
19-14Loss
19-10Draw
19-5Draw
19-23Draw
19-28Win
19-32Draw
19-37Draw
19-41Draw
19-24Loss
19-30Loss
45-40Draw
47-41Loss
48-42Loss
46-41Loss
47-42Loss
48-43Loss

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 36, Black 28.

W:WK36,47,48,49,50:B1,2,4,41

MoveResult
36-31Draw
36-27Draw
36-22Draw
36-18Draw
36-13Draw
36-9Win
48-42Draw
49-43Draw
50-44Draw
47-42Draw
48-43Draw
49-44Draw
50-45Draw

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 36, Black 36.

W:WK46,47,48,49,50:B1,2,3,4

MoveResult
46-41Win
46-37Win
46-32Win
46-28Win
46-23Win
46-19Win
46-14Win
46-10Draw
46-5Win
47-41Win
48-42Win
49-43Win
50-44Win
47-42Win
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 36, Black 36.

W:WK46,47,48,49,50:B1,2,3,4

MoveResult
46-41Win
46-37Win
46-32Win
46-28Win
46-23Win
46-19Win
46-14Win
46-10Draw
46-5Win
47-41Win
48-42Win
49-43Win
50-44Win
47-42Win
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: 13207 block reads; 0 invalid or unreadable dependency files/blocks excluded.