Helpmate tablebases Every solution to every position, precomputed.

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KQNvkr

5 pieces.

h#10
longest mate
h#8
deepest unique
11
positions at that depth
h#8
deepest dual
h#3.5
deepest strict dual
144,279,218
positions with a helpmate
13,071,638
with a unique solution
121,110,528
cells in the plane
107,116,379 bytes
on disk

Deepest unique problems

h#8

8/8/8/8/8/8/5r1N/K5Qk b - - 0 1

  1. Kxg1 Nf3+ Kf1 Kb1 Ke2 Kb2 Kd3+ Kc1 Kc3 Kd1 Kb2 Nd4 Ka1 Kc1 Ra2 Nb3#

pure model ideal switchback self-block

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

h#8

8/8/N5Qk/8/8/8/4r3/1K6 b - - 0 1

  1. Kxg6 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

kN6/Q7/1r6/8/8/8/8/2K5 b - - 0 1

  1. Kxa7 Nc6+ Ka6 Kc2 Kb5 Kb2 Kc4+ Ka3 Kc3 Ka4 Kb2 Nd4 Ka1 Ka3 Rb1 Nc2#

pure model ideal switchback self-block

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#3.5. The deepest dual overall is h#8, where the two solutions share a first or a last move.

h#3.5

8/N7/8/8/6k1/8/r4Q2/K7 w - - 0 1

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

  1. Kb1 Ra5 Nc6 Rg5 Ne5+ Kh5 Qh2#
  2. Qxa2 Kf3 Kb2 Ke2 Kc3+ Kd1 Qd2#

pure model self-block single-piece single-piece:black

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

h#3.5

N7/r7/8/5k2/8/8/4Q3/K7 w - - 0 1

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

  1. Kb2 Kf4 Qf1+ Ke3 Nb6 Kd2 Nc4#
  2. Qa2 Kf6 Nb6 Ke7 Qxa7+ Kd8 Qd7#

mirror single-piece single-piece:black

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

h#3.5

8/8/8/5k2/1Q6/8/1N6/Kr6 w - - 0 1

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

  1. Ka2 Ke5 Qb5+ Kd4 Ka3 Kc3 Qd3#
  2. Kxb1 Ke5 Qb5+ Kd4 Kc1 Kc3 Qc4#

single-piece single-piece:black

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