Helpmate tablebases Every solution to every position, precomputed.

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KNNvkn

5 pieces.

h#7.5
longest mate: h#6.5
deepest unique: 2
positions at that depth: h#6.5
deepest dual: h#5.5
deepest strict dual: 90,134,164
positions with a helpmate: 1,106,273
with a unique solution: 121,110,528
cells in the plane: 50,463,455 bytes
on disk

Deepest unique problems

Only 2 distinct ideas exist at this depth.

h#6.5

1k5N/8/8/8/8/8/3K3N/5n2 w - - 0 1

Ke2 Kc7 Kf3 Kd6 Kg4 Ke5 Kh5 Kf4 Ng6+ Kg3 Nxf1+ Kh3 Nf4#

pure model ideal mirror single-piece single-piece:black

Note: the side to move is in check in the diagram.

h#6.5

1k5N/8/8/8/2n5/8/3K3N/8 w - - 0 1

Ke2 Kc7 Kf3 Kd6 Kg4 Ke5 Kh5 Kf4 Ng6+ Kg3 Nf1+ Kh3 Nf4#

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

Note: the side to move is in check in the diagram.

Deepest dual problems

Deepest dual with different first and last moves: h#5.5. The deepest dual overall is h#6.5, where the two solutions share a first or a last move.

h#5.5

5NN1/8/8/5n2/8/2K5/8/3k4 w - - 0 1

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

Ne6 Nh4 Kd4 Ke2 Ke5 Kf3 Kf6 Kg4 Kg7 Kh5 Nf6#
Nh7 Nh4 Kd4 Ke2 Ke5 Kf3 Kf6 Kg4 Kg7 Kh5 Ngf6#

pure model ideal self-block nocapture nocheck

h#5.5

7N/8/5n2/8/1k6/3K3N/8/8 w - - 0 1

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

Nf4 Ne8 Ke4 Kc5 Kf5 Kd6 Kg6 Ke7 Kh7 Kf8 Nfg6#
Ng5 Ne8 Ke4 Kc5 Kf5 Kd6 Kg6 Ke7 Kh7 Kf8 Ng6#

pure model ideal self-block nocapture nocheck

h#5.5

5k2/8/8/8/8/3K4/8/NnN5 w - - 0 1

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

Kc2 Ke7 Kb2 Kd6 Kxb1 Kc5 Ncb3+ Kb4 Nc5 Ka3 Nc2#
Kc4 Ke7 Kb5 Kd6 Ka6 Kc5 Ncb3+ Kb4 Nc2+ Ka4 Nc5#

set-play pure model ideal mirror single-piece single-piece:black umnov