Helpmate tablebases Every solution to every position, precomputed.

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KRRvkq

5 pieces.

h#7
longest mate
h#5
deepest unique
219
positions at that depth
h#5
deepest dual
h#4
deepest strict dual
65,857,545
positions with a helpmate
6,063,307
with a unique solution
121,110,528
cells in the plane
47,240,016 bytes
on disk

Deepest unique problems

h#5

8/8/8/8/8/8/5R2/K4Rqk b - - 0 1

  1. Qxf1+ Kb2 Kg1 Rc2 Qf2 Kc3 Kf1 Kd3 Ke1 Rc1#

pure model ideal self-block umnov

Note: the solution begins with a capture.

h#5

8/8/8/1q6/6Rk/7R/8/K7 b - - 0 1

  1. Kxg4 Rh4+ Kf3 Rb4 Ke2 Kb2 Kd1 Kc3 Qe2 Rb1#

pure model ideal self-block umnov

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

Only 2 distinct ideas exist at this depth.

h#4

8/8/8/8/R7/2kR4/3q4/1K6 b - - 0 1

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

  1. Kxd3 Ka1 Kc2 Ka2 Kd1+ Kb3 Kc1 Ra1#
  2. Qxd3+ Kc1 Kb3 Rd4 Ka2 Rxd3 Ka1 Ra3#

pure model ideal mirror single-piece single-piece:black

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