Helpmate tablebases Every solution to every position, precomputed.

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KBvkqn

5 pieces.

h#13
longest mate
h#9.5
deepest unique
46
positions at that depth
h#10
deepest dual
h#7
deepest strict dual
151,550,341
positions with a helpmate
306,932
with a unique solution
121,110,528
cells in the plane
54,880,661 bytes
on disk

Deepest unique problems

h#9.5

8/8/8/8/n7/2q5/2k5/K4B2 w - - 0 1

  1. Ka2 Nc5 Bc4 Na6 Bb3+ Kd3 Ka3 Kd4 Ka4 Kc5 Be6 Kb6 Bc8 Ka7 Kb5 Ka8 Kb6 Nb8 Bb7#

pure model self-block nocapture

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

h#9.5

8/8/1n6/3B4/8/4q3/8/k1K5 w - - 0 1

  1. Kc2 Nc8 Be4 Ka2 Bd3 Ka3 Kc3 Ka4 Kc4 Ka5 Kd5 Kb6 Ba6 Ka7 Kc6 Ka8 Kc7 Na7 Bb7#

pure model self-block nocapture nocheck

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

Deepest dual problems

Deepest dual with different first and last moves: h#7. The deepest dual overall is h#10, where the two solutions share a first or a last move.

h#7

5q2/8/5k2/8/8/1n4B1/8/1K6 b - - 0 1

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

  1. Nc1 Bh4+ Ke5 Kc2 Kd4 Kd1 Kc3 Be7 Kb2 Ba3+ Ka1 Kc2 Na2 Bb2#
  2. Nc5 Kc2 Nd7 Kd3 Kg7 Ke4 Nf6+ Kf5 Kh8 Kg6 Ng8 Be5+ Qg7+ Bxg7#

pure model ideal switchback self-block

h#7

7q/8/8/6n1/4k3/2B5/8/2K5 b - - 0 1

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

  1. Kd3 Kb2 Ne4 Ka3 Kc2 Bxh8 Kb1 Bb2 Nc3 Bc1 Ka1 Kb3 Nb1 Bb2#
  2. Kf5 Kd2 Kg6 Ke3 Kh7 Kf4 Qd4+ Kf5 Kh8 Kg6 Nh7 Kf7 Qg7+ Bxg7#

pure model ideal switchback self-block

h#7

5q2/2B5/5k2/8/8/1n6/8/1K6 b - - 0 1

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

  1. Nc1 Bd8+ Ke5 Kc2 Kd4 Kd1 Kc3 Be7 Kb2 Ba3+ Ka1 Kc2 Na2 Bb2#
  2. Nc5 Kc2 Nd7 Kd3 Kg7 Ke4 Nf6+ Kf5 Kh8 Kg6 Ng8 Be5+ Qg7+ Bxg7#

pure model ideal switchback self-block