Partial 4050: 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: 18.433.624.252 (15.6%)
Draw: 68.123.157.535 (57.5%)
Lose: 28.394.734.021 (24.0%)
Loss or draw: 1.987.778.077 (1.7%)
Draw or win: 1.474.323.313 (1.2%)
Unknown: 45.641.617 (0.0%)

Exact value: 114.951.515.808 (97.0%)
Legal: 118.459.258.815

Non capture positions

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

Win: 4.572.159.408 (11.3%)
Draw: 19.960.343.751 (49.2%)
Lose: 12.556.390.577 (30.9%)
Loss or draw: 1.987.778.077 (4.9%)
Draw or win: 1.474.323.313 (3.6%)
Unknown: 45.641.617 (0.1%)

Exact value: 37.088.893.736 (91.4%)
Legal: 40.596.636.743

Fully quiet positions

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

Win: 2.394.036.794 (8.8%)
Draw: 12.895.505.414 (47.3%)
Lose: 9.053.063.332 (33.2%)
Loss or draw: 1.697.387.850 (6.2%)
Draw or win: 1.194.462.187 (4.4%)
Unknown: 42.474.323 (0.2%)

Exact value: 24.342.605.540 (89.2%)
Legal: 27.276.929.900

Saved slices: 1682; 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 (13442 positions; 3 slices with fewer than eight).

Example search: sampled. Examined 984744 of 181499876910 saved physical-board indexes (863183 legal, 596849 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 17, Black 45.

W:W13,14,22,48:B1,2,3,4,5

MoveResult
13-8Loss
14-9Loss
22-17Draw
48-42Draw
13-9Loss
14-10Loss
22-18Win
48-43Draw

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 45.

W:W36,39,40,41:B1,2,3,4,5

MoveResult
39-33Loss
40-34Loss
36-31Draw
39-34Loss
40-35Loss
41-37Loss

Mutual zugzwang

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

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950

White to move: Loss. Pip count: White 9, Black 44.

W:W11,12,14,17:B1,2,3,5,6

MoveResult
12-7Loss
14-9Loss
11-7Loss
12-8Loss
14-10Loss

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 12, Black 45.

W:W12,13,19,28:B1,2,3,4,5

MoveResult
12-7Loss
13-8Loss
28-22Loss
12-8Draw
13-9Loss
19-14Win
28-23Loss

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 11, Black 45.

W:W12,13,19,24:B1,2,3,4,5

MoveResult
12-7Draw
13-8Win
12-8Draw
13-9Loss
19-14Draw
24-20Draw

Promotion trap

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

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White to move: Win. Pip count: White 18, Black 43.

W:W6,15,38,43:B2,3,4,7,8

MoveResult
15-10Win
38-32Draw
6-1Draw
38-33Draw
43-39Draw

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.

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White to move: Loss. Pip count: White 36, Black 45.

W:W47,48,49,50:B1,2,3,4,5

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).

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White to move: Win. Pip count: White 17, Black 45.

W:W13,14,22,49:B1,2,3,4,5

MoveResult
13-8Loss
14-9Loss
22-17Win
49-43Draw
13-9Loss
14-10Loss
22-18Win
49-44Draw

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: 3583 block reads; 0 invalid or unreadable dependency files/blocks excluded.