Helpmate tablebases Every solution to every position, precomputed.

← all materials

KNvkrr

5 pieces.

h#9.5
longest mate
h#8.5
deepest unique
5
positions at that depth
h#8.5
deepest dual
h#6.5
deepest strict dual
78,435,972
positions with a helpmate
967,908
with a unique solution
121,110,528
cells in the plane
46,842,098 bytes
on disk

Deepest unique problems

h#8.5

8/7k/N7/8/8/8/4r3/Kr6 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/rK6 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.

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

4N3/8/8/8/8/7k/1rr5/K7 w - - 0 1

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

  1. Nd6 Rf2 Nc4 Rbe2 Nb2 Kg2 Ka2 Kf1 Kb1 Ke1 Kc1 Rf1 Nd3#
  2. Nf6 Ra2+ Kb1 Rh2 Kc1 Ra3 Kd1 Rh1+ Ke2 Kh2 Kf2 Rh3 Ng4#

set-play pure model ideal self-block nocapture umnov

h#6.5

8/7N/8/8/1r4k1/8/2r5/K7 w - - 0 1

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

  1. Nf6+ Kf3 Nd5 Rg4 Kb1 Rf2 Kc1 Ke2 Kc2 Kf1+ Kd1 Rg1 Ne3#
  2. Nf8 Ra4+ Kb1 Rh2 Kc1 Rh5 Kd2 Kh4 Ke3 Ra3+ Kf4 Rh3 Ng6#

set-play pure model ideal self-block nocapture

h#6.5

8/3r4/8/6k1/1N6/1r6/8/K7 w - - 0 1

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

  1. Ka2 Rb1 Ka3 Kf4 Ka4 Ke3 Kb5 Kd2 Kc4 Kc1 Kc3 Rd1 Na2#
  2. Nd5 Rf3 Kb2 Rf8 Kc3 Kg6 Kd4 Kf7 Ke5 Ke8 Ke6 Rd8 Nc7#

pure model ideal self-block nocapture nocheck