Helpmate tablebases Every solution to every position, precomputed.

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KBvkqqb

6 pieces.

h#8.5
longest mate
h#7.5
deepest unique
8
positions at that depth
h#7.5
deepest dual
h#7
deepest strict dual
1,848,105,798
positions with a helpmate
22,104,926
with a unique solution
7,751,073,792
cells in the plane
1,799,825,839 bytes
on disk

Deepest unique problems

h#7.5

7b/8/8/4k3/8/8/B1q3q1/1K6 w - - 0 1

  1. Ka1 Kd4 Bd5 Kc3 Bxg2 Qc1+ Ka2 Kd2 Kb3 Bc3 Kc4 Kd1 Kd3 Be1 Bf3#

self-block

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

h#7.5

7k/8/6B1/1q6/8/1q6/1K6/2b5 w - - 0 1

  1. Ka1 Qg5 Bh7 Qb1+ Kxb1 Kg7 Kc2 Kh6 Kd3 Kh5 Ke4 Qh4+ Kf5 Bh6 Bg6#

pure model ideal switchback self-block

Note: the diagram has no legal last move, so it cannot arise in a game.

h#7.5

7k/5B2/8/8/8/b7/2q1q3/1K6 w - - 0 1

  1. Ka1 Qe7 Bg8 Qa2+ Kxa2 Kg7 Kb3 Kf8 Kc4 Ke8 Kd5 Qd8+ Ke6 Bf8 Bf7#

pure model ideal switchback self-block

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#7.5, where the two solutions share a first or a last move.

Only 2 distinct ideas exist at this depth.

h#7

7k/8/8/8/8/1q6/2qb4/K4B2 b - - 0 1

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

  1. Qh7 Bd3 Qbg8 Kb2 Bh6 Kc3 Kg7 Kd4 Qhh8 Ke4 Kh7 Kf5 Bg7 Kg5#
  2. Qg8 Bc4 Qch7 Kb2 Bh6 Kc3 Kg7 Kd4 Qgh8 Kd5 Kg8 Ke6 Bg7 Ke7#

self-block nocapture nocheck

h#7

7k/8/8/8/8/1q6/2q1B2b/K7 b - - 0 1

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

  1. Qh7 Bd3 Qbg8 Kb2 Kg7 Kc3 Qhh8 Kd4 Be5+ Ke4 Kh7 Kf5 Bg7 Kg5#
  2. Qg8 Bc4 Qch7 Kb2 Kg7 Kc3 Qgh8 Kd4 Be5+ Kd5 Kg8 Ke6 Bg7 Ke7#

self-block nocapture