Helpmate tablebases Every solution to every position, precomputed.

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KQvkqn

5 pieces.

h#7
longest mate
h#6
deepest unique
2
positions at that depth
h#6
deepest dual
h#5
deepest strict dual
130,025,159
positions with a helpmate
5,626,096
with a unique solution
121,110,528
cells in the plane
77,315,737 bytes
on disk

Deepest unique problems

Only 2 distinct ideas exist at this depth.

h#6

8/8/7k/6Q1/1q1n4/8/8/K7 b - - 0 1

  1. Kh7 Ka2 Qb7 Ka3 Qg7 Kb4 Kg8 Kc5 Kf8 Kd6 Qg8 Qe7#

pure model self-block nocapture nocheck

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

h#6

6Q1/7k/8/3n4/8/1q6/8/K7 b - - 0 1

  1. Kh6 Qb8 Kg5 Qxb3 Kf4 Qa2 Ke3 Kb2 Kd2 Kb3+ Kc1 Qc2#

single-piece single-piece:black

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

Deepest dual problems

Deepest dual with different first and last moves: h#5. The deepest dual overall is h#6, where the two solutions share a first or a last move.

h#5

8/8/8/7k/8/1q4Q1/8/Kn6 b - - 0 1

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

  1. Nd2 Qxb3 Kg4 Qa2 Kf3 Kb2 Ke2 Kc3 Kd1 Qxd2#
  2. Na3 Qxb3 Kg4 Qa2 Kf3 Kb2 Ke2 Kc3+ Kd1 Qd2#

h#5

8/8/5Q2/7k/6n1/8/2q5/K7 b - - 0 1

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

  1. Qb2+ Qxb2 Kh4 Kb1 Kg3 Kc2 Kf2 Kd3+ Ke1 Qe2#
  2. Qg2 Qe6 Kh4 Kb1 Kg3 Kc1 Kf2 Kd1 Kf1 Qe1#

self-block

h#5

4k3/8/2n1Q3/8/8/8/6q1/1K6 b - - 0 1

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

  1. Kf8 Kc1 Qg6 Kd2 Kg7 Ke3 Kh6 Kf4 Kh5 Qh3#
  2. Ne7 Qe2 Kd7 Kc2 Kc6 Kd3 Kb5 Kc3+ Ka4 Qa6#

pure model mirror self-block nocapture

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