Partial 5050

Counts combine both sides to move, including captures. Win and loss are relative to the side to move. Unknown results are unresolved, not draws.

All positions

Win: 454.123.618.280 (26.2%)
Draw: 478.214.624.208 (27.6%)
Lose: 74.657.548.990 (4.3%)
Loss or draw: 170.373.726.330 (9.8%)
Draw or win: 317.442.596.062 (18.3%)
Unknown: 239.557.146.776 (13.8%)

Known: 1.006.995.791.478 (58.1%)
Legal: 1.734.369.260.646

Non capture positions

The side to move has no capture. Percentages use this table's legal-position total; counts include both sides to move.

Win: 34.099.744.454 (7.2%)
Draw: 46.646.805.466 (9.9%)
Lose: 8.307.545.424 (1.8%)
Loss or draw: 50.900.244.702 (10.8%)
Draw or win: 207.430.466.518 (44.1%)
Unknown: 123.190.092.254 (26.2%)

Known: 89.054.095.344 (18.9%)
Legal: 470.574.898.818

Fully quiet positions

Neither side has a capture. Percentages use this table's legal-position total; counts include both sides to move.

Win: 15.865.635.612 (5.7%)
Draw: 26.095.722.030 (9.3%)
Lose: 2.927.460.134 (1.0%)
Loss or draw: 38.182.510.482 (13.6%)
Draw or win: 109.785.716.392 (39.2%)
Unknown: 86.956.884.860 (31.1%)

Known: 44.888.817.776 (16.0%)
Legal: 279.813.929.510

Capture-filtered totals are exhaustive across saved and mirrored slices. Read blocks have their checksums checked; WDL correctness is not independently verified.

Saved slices: 856; mirrored slices: 785. 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.

Example search: sampled. Examined 983556 of 966202999441 saved physical-board indexes (815941 legal, 527012 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.

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 35, Black 35.

W:W32,33,34,42,49:B1,12,15,16,18

MoveResult
32-27Win
33-28Draw
34-29Draw
42-37Draw
49-43Draw
32-28Draw
33-29Draw
34-30Draw
42-38Draw
49-44Draw

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 41, Black 36.

W:W30,46,47,49,50:B7,9,13,14,20

MoveResult
30-24Loss
47-41Loss
49-43Loss
50-44Loss
30-25Draw
46-41Loss
47-42Loss
49-44Loss
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.

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White to move: Win. Pip count: White 32, Black 34.

W:W26,28,35,37,49:B4,6,17,19,21

MoveResult
28-22Win
35-30Loss or draw
37-31Draw
49-43Draw
28-23Loss
37-32Draw
49-44Loss

Win with fewer pieces

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

No qualifying example proved from the available WDL data.

Draw with fewer pieces

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

No qualifying example proved from the available WDL data.

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 32, Black 38.

W:W30,31,32,35,49:B5,6,8,14,19

MoveResult
30-24Win
31-26Draw
32-27Draw
49-43Draw
30-25Draw
31-27Draw
32-28Draw
49-44Draw

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.

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.

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 19, Black 45.

W:W13,14,15,23,50:B1,2,3,4,5

MoveResult
13-8Loss
14-9Draw
15-10Draw
23-18Unknown
50-44Unknown
13-9Win
14-10Loss
23-19Unknown
50-45Unknown

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: 9925 block reads; 0 invalid or unreadable dependency files/blocks excluded.