Helpmate tablebases Every solution to every position, precomputed.

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KQBBvk

5 pieces.

h#8
longest mate
h#7
deepest unique
1
positions at that depth
h#6
deepest dual
h#3
deepest strict dual
75,197,106
positions with a helpmate
12,536,596
with a unique solution
121,110,528
cells in the plane
66,555,344 bytes
on disk

Deepest unique problems

Only one position exists at this depth.

h#7

7Q/7k/7B/8/8/8/2B5/K7 b - - 0 1

  1. Kxh8 Kb2 Kg8 Kc3 Kf7 Kd3 Kg6 Ke4 Kh5 Kf5 Kh4 Bg5+ Kh5 Bd1#

switchback single-piece single-piece:black

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#3. The deepest dual overall is h#6, where the two solutions share a first or a last move.

Only one position exists at this depth.

h#3

8/8/8/3B4/3k4/2Q5/8/K1B5 b - - 0 1

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

  1. Kxc3 Ka2 Kb4 Bd2+ Ka4 Bc6#
  2. Kxd5 Qa5+ Kc4 Bd2 Kb3 Qa2#

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

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