Partial 4041: 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: 28.415.243.170 (4.3%)
Draw: 269.803.520.336 (40.7%)
Lose: 337.368.611.978 (50.8%)
Loss or draw: 25.615.509.379 (3.9%)
Draw or win: 1.801.237.567 (0.3%)
Unknown: 682.005.920 (0.1%)

Exact value: 635.587.375.484 (95.8%)
Legal: 663.686.128.350

Non capture positions

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

Win: 3.741.131.068 (1.6%)
Draw: 69.944.834.916 (30.0%)
Lose: 131.011.379.778 (56.3%)
Loss or draw: 25.615.509.379 (11.0%)
Draw or win: 1.801.237.567 (0.8%)
Unknown: 682.005.920 (0.3%)

Exact value: 204.697.345.762 (87.9%)
Legal: 232.796.098.628

Fully quiet positions

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

Win: 389.724.805 (0.4%)
Draw: 26.786.576.964 (25.8%)
Lose: 57.322.891.971 (55.1%)
Loss or draw: 17.663.058.060 (17.0%)
Draw or win: 1.215.814.365 (1.2%)
Unknown: 596.880.399 (0.6%)

Exact value: 84.499.193.740 (81.3%)
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.

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950

White to move: Win. Pip count: White 16, Black 35.

W:W7,16,31,35:B3,4,5,6,K32

MoveResult
7-1Draw
31-26Loss
35-30Loss
7-2Draw
16-11Loss
31-27Win

Only move to draw

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

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950

White to move: Draw. Pip count: White 29, Black 36.

W:W33,37,39,50:B1,2,3,4,K11

MoveResult
33-28Loss
37-31Loss
50-44Loss
33-29Draw
37-32Loss
39-34Loss
50-45Loss

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.

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950

White to move: Win. Pip count: White 16, Black 35.

W:W7,16,31,35:B3,4,5,6,K32

MoveResult
7-1Draw
31-26Loss
35-30Loss
7-2Draw
16-11Loss
31-27Win

Unique winning sacrifice

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

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950

White to move: Win. Pip count: White 16, Black 35.

W:W7,16,31,35:B3,4,5,6,K32

MoveResult
7-1Draw
31-26Loss
35-30Loss
7-2Draw
16-11Loss
31-27Win

Promotion trap

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

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950

White to move: Win. Pip count: White 16, Black 35.

W:W7,16,31,35:B3,4,5,6,K32

MoveResult
7-1Draw
31-26Loss
35-30Loss
7-2Draw
16-11Loss
31-27Win

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.

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950

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

W:W47,48,49,50:B1,2,3,4,K5

MoveResult
47-41Loss
48-42Loss
49-43Loss
50-44Loss
47-42Loss
48-43Loss
49-44Loss
50-45Loss

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).

No qualifying example proved from the available WDL data.

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 20000 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: 7280 block reads; 0 invalid or unreadable dependency files/blocks excluded.