Helpmate tablebases Every solution to every position, precomputed.

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KPPvk

4 pieces.

h#8
longest mate: h#7
deepest unique: 2
positions at that depth: h#7
deepest dual: h#5.5
deepest strict dual: 3,718,619
positions with a helpmate: 84,803
with a unique solution: 4,161,024
cells in the plane: 3,074,046 bytes
on disk

Deepest unique problems

Only 2 distinct ideas exist at this depth.

h#7

8/7k/8/8/8/6P1/K5P1/8 b - - 0 1

Kg6 Ka3 Kf5 g4+ Ke4 g5 Kd3 g6 Kc2 g7 Kb1 g8=Q Ka1 Qa2#

promotion single-piece single-piece:black nocapture

Published as Salazar Lopez (1973)

Salazar Lopez, Francisco — British Chess Magazine, 03/1973; Catalogue h# (CHM) avec 6 pieces, No. 213, 1995; The Problemist, 05/2005; Problemkiste, No. G), 01/2010

h#7

8/8/8/8/K7/PP6/8/7k b - - 0 1

Kg2 Kb4 Kf3 a4 Ke4 a5 Kd5 a6 Kc6 a7 Kb7 Kc5 Ka6 a8=Q#

pure model mirror promotion single-piece single-piece:black nocapture nocheck

Deepest dual problems

Deepest dual with different first and last moves: h#5.5. The deepest dual overall is h#7, where the two solutions share a first or a last move.

h#5.5

8/5k2/8/8/8/8/1P2P3/2K5 w - - 0 1

Two solutions, with different first and last moves (2 starts, 2 ends).

b4 Ke6 b5 Kd5 b6 Kc4 b7 Kb3 b8=Q+ Ka2 Qb2#
e4 Ke6 e5 Kd5 e6 Kc4 e7 Kb3 e8=Q Ka2 Qa4#

promotion excelsior excelsior:white closed-walk single-piece single-piece:white single-piece:black nocapture umnov

h#5.5

8/5k2/8/8/8/4P3/1P6/2K5 w - - 0 1

Two solutions, with different first and last moves (2 starts, 2 ends).

e4 Ke6 e5 Kd5 e6 Kc4 e7 Kb3 e8=Q Ka2 Qa4#
b4 Ke6 b5 Kd5 b6 Kc4 b7 Kb3 b8=Q+ Ka2 Qb2#

promotion excelsior excelsior:white closed-walk single-piece single-piece:white single-piece:black nocapture umnov

h#5.5

8/5k2/8/8/8/5P2/1P6/2K5 w - - 0 1

Two solutions, with different first and last moves (2 starts, 2 ends).

f4 Ke6 f5+ Kd5 f6 Kc4 f7 Kb3 f8=Q Ka2 Qa3#
b4 Ke6 b5 Kd5 b6 Kc4 b7 Kb3 b8=Q+ Ka2 Qb2#

pure model ideal promotion excelsior excelsior:white closed-walk single-piece single-piece:white single-piece:black nocapture