Helpmate tablebases Every solution to every position, precomputed.

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KQvkrr

5 pieces.

h#6
longest mate
h#4.5
deepest unique
460
positions at that depth
h#5
deepest dual
h#4.5
deepest strict dual
65,360,823
positions with a helpmate
2,746,279
with a unique solution
121,110,528
cells in the plane
47,480,371 bytes
on disk

Deepest unique problems

Deepest dual problems

Deepest dual with different first and last moves: h#4.5. 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#4.5

4k3/8/8/8/8/5Q2/3r4/2rK4 w - - 0 1

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

  1. Kxc1 Kd7 Qf8 Kc6 Kxd2 Kb5 Kc3 Ka4 Qb4#
  2. Kxd2 Ke7 Qb7+ Kf6 Ke3 Kg6 Kf4 Kh5 Qh7#

pure model mirror single-piece single-piece:black

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

h#4.5

4k3/8/7Q/8/8/8/1r6/2rK4 w - - 0 1

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

  1. Kxc1 Kd7 Qf8 Kc6 Kxb2 Kb5 Kc3 Ka4 Qb4#
  2. Qxc1 Kf7 Qd2 Kg6 Ke2 Kh5 Kf3 Kh4 Qh6#

pure model mirror closed-walk single-piece single-piece:black nocheck

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