Helpmate tablebases Every solution to every position, precomputed.

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KRNvkr

5 pieces.

h#10
longest mate
h#7
deepest unique
9
positions at that depth
h#7
deepest dual
h#4
deepest strict dual
156,434,997
positions with a helpmate
13,054,468
with a unique solution
121,110,528
cells in the plane
98,273,988 bytes
on disk

Deepest unique problems

h#7

8/8/8/8/8/5N2/1r3R2/K4k2 b - - 0 1

  1. Rxf2 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#7

8/8/kRN5/8/8/1r6/8/2K5 b - - 0 1

  1. Rxb6 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.

h#7

8/8/8/8/8/5N2/6r1/K4Rk1 b - - 0 1

  1. Kxf1 Kb1 Ke2 Kb2 Kd3+ Kc1 Kc3 Kd1 Kb2 Nd4 Ka1 Kc1 Ra2 Nb3#

pure model ideal switchback self-block

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

Deepest dual problems

Deepest dual with different first and last moves: h#4. The deepest dual overall is h#7, where the two solutions share a first or a last move.

h#4

1N6/4r3/8/8/8/4k3/3R4/K7 b - - 0 1

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

  1. Rc7 Rd8 Rc2 Nd7 Kd2 Nc5+ Kc1 Nb3#
  2. Rd7 Rb2 Rd2 Nc6 Ke2 Nd4+ Kd1 Rb1#

pure model self-block nocapture umnov

h#4

8/6N1/8/2r5/4k3/8/8/K1R5 b - - 0 1

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

  1. Rg5 Ne6 Kf5 Rc7 Kg6 Nf8+ Kh6 Rh7#
  2. Rh5 Ne6 Kf5 Nf8 Kg5 Rg1+ Kh6 Rg6#

pure model self-block nocapture