Helpmate tablebases Every solution to every position, precomputed.

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KNvkqr

5 pieces.

h#9.5
longest mate
h#8.5
deepest unique
8
positions at that depth
h#8.5
deepest dual
h#6.5
deepest strict dual
145,506,639
positions with a helpmate
1,721,006
with a unique solution
121,110,528
cells in the plane
92,950,825 bytes
on disk

Deepest unique problems

h#8.5

8/7k/N7/8/8/8/4r3/Kq6 w - - 0 1

  1. Kxb1 Kg6 Nb4 Kf5 Nc2 Ke4 Kb2 Kd3 Kc1 Kc3 Kd1 Kb2 Nd4 Ka1 Kc1 Ra2 Nb3#

pure model ideal switchback self-block nocheck

Note: the side to move is in check in the diagram; the solution begins with a capture.

h#8.5

8/8/8/8/8/7k/5r1N/qK6 w - - 0 1

  1. Kxa1 Kg2 Nf3 Kf1 Kb1 Ke2 Kb2 Kd3+ Kc1 Kc3 Kd1 Kb2 Nd4 Ka1 Kc1 Ra2 Nb3#

pure model ideal switchback self-block kniest

Note: the side to move is in check in the diagram; the solution begins with a capture.

h#8.5

6k1/8/8/1r6/8/8/2q5/2K2N2 w - - 0 1

  1. Kxc2 Kf7 Nd2 Ke6 Nb3 Kd5 Kb2 Kc4 Ka3 Kc3 Ka4 Kb2 Nd4 Ka1 Ka3 Rb1 Nc2#

pure model ideal switchback self-block nocheck

Note: the side to move is in check in the diagram; the solution begins with a capture.

Deepest dual problems

Deepest dual with different first and last moves: h#6.5. The deepest dual overall is h#8.5, where the two solutions share a first or a last move.

h#6.5

8/8/8/5k2/q7/r7/7N/K7 w - - 0 1

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

  1. Kb1 Rh3 Kb2 Rh5 Kc3 Qc2+ Kd4 Kg5 Ke5 Kh6+ Kf6 Qh7 Ng4#
  2. Kb2 Rh3 Nf1 Rh4 Kc3 Kg4 Kd3 Qa6+ Ke4 Kh5+ Kf5 Qh6 Ng3#

pure model ideal self-block nocapture

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

h#6.5

8/8/8/5q1k/8/3N4/1r6/K7 w - - 0 1

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

  1. Ne1 Rc2 Kb1 Rh2+ Kc1 Rh1 Kd2 Kh4 Ke3 Qh5 Kf4 Rh3 Ng2#
  2. Ne5 Rc2 Kb1 Rg2+ Kc1 Rg5 Kd2 Kh4 Ke3 Qh3+ Kf4 Rh5 Ng6#

set-play pure model ideal self-block nocapture

h#6.5

8/8/5k2/6q1/8/1r5N/8/K7 w - - 0 1

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

  1. Ka2 Rb8 Ka3 Re8 Kb4 Qg4+ Kc5 Ke7 Ng5 Kd8 Kd6 Qc8 Nf7#
  2. Nf2 Rh3 Kb2 Rh5 Kc3 Qg8 Kd4 Kg5 Ke5 Kh6+ Kf6 Qh7 Ng4#

pure model ideal self-block nocapture umnov