Partial 5040

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

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

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

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

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.

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.

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.

White to move: Win. Pip count: White 45, Black 29.

W:W46,47,48,49,50:B7,8,15,17

Move	Result
47-41	Draw
48-42	Draw
49-43	Draw
50-44	Draw
46-41	Win
47-42	Draw
48-43	Draw
49-44	Draw
50-45	Draw

Only move to draw

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

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

W:W46,47,48,49,50:B3,29,37,38

Move	Result
47-41	Draw
48-42	Loss
49-43	Loss
50-44	Loss
46-41	Loss
47-42	Loss
48-43	Loss
49-44	Loss
50-45	Loss

Mutual zugzwang

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

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

W:W45,46,48,49,50:B34,37,39,40

Move	Result
48-42	Loss
49-43	Loss
50-44	Loss
46-41	Loss
48-43	Loss
49-44	Loss

Whoever moves wins

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

White to move: Win. Pip count: White 45, Black 12.

W:W46,47,48,49,50:B23,32,38,39

Move	Result
47-41	Loss
48-42	Loss
49-43	Loss
50-44	Loss
46-41	Win
47-42	Loss
48-43	Loss
49-44	Draw
50-45	Draw

Win with fewer pieces

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

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

B:W46,47,48,49,50:B2,29,37,38

Move	Result
2-8	Draw
29-34	Win
37-42	Loss
38-43	Loss
2-7	Draw
29-33	Win
37-41	Loss
38-42	Loss

Draw with fewer pieces

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

Black to move: Draw. Pip count: White 45, Black 30.

B:W46,47,48,49,50:B7,8,11,12

Move	Result
8-13	Draw
11-17	Draw
12-18	Draw
11-16	Loss or draw
12-17	Loss

Unique winning sacrifice

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

White to move: Win. Pip count: White 44, Black 10.

W:W45,47,48,49,50:B32,34,36,37

Move	Result
45-40	Win
47-41	Loss
48-42	Loss
49-43	Draw
50-44	Loss
47-42	Loss
48-43	Loss
49-44	Loss

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.

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

W:W46,47,48,49,50:B1,2,3,4

Move	Result
47-41	Win
48-42	Win
49-43	Win
50-44	Win
46-41	Win
47-42	Win
48-43	Win
49-44	Win
50-45	Win

Both sides at highest pip count: loss

Both sides attain their maximum pip count; the player to move loses.

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

B:W46,47,48,49,50:B1,2,3,4

Move	Result
1-7	Loss
2-8	Loss
3-9	Loss
4-10	Loss
1-6	Loss
2-7	Loss
3-8	Loss
4-9	Loss

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).

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

W:W46,47,48,49,50:B1,2,3,4

Move	Result
47-41	Win
48-42	Win
49-43	Win
50-44	Win
46-41	Win
47-42	Win
48-43	Win
49-44	Win
50-45	Win

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: 6341 block reads; 0 invalid or unreadable dependency files/blocks excluded.