Helpmate tablebases Every solution to every position, precomputed.

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KRBvkr

5 pieces.

h#7
longest mate
h#5
deepest unique
3
positions at that depth
h#5
deepest dual
h#4.5
deepest strict dual
152,517,720
positions with a helpmate
15,398,503
with a unique solution
121,110,528
cells in the plane
103,104,633 bytes
on disk

Deepest unique problems

h#5

6rk/6B1/8/8/8/8/7R/1K6 b - - 0 1

  1. Kxg7 Kc2 Rh8 Kd3 Rh3+ Ke4 Kh6 Kf5 Kh5 Rxh3#

pure model ideal mirror

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

h#5

8/6B1/6rk/7R/8/8/8/2K5 b - - 0 1

  1. Kxg7 Rh8 Rh6 Kd2 Kg6 Ke3 Kh5 Kf4 Kh4 Rxh6#

pure model ideal mirror nocheck

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#4.5. The deepest dual overall is h#5, where the two solutions share a first or a last move.

Only one position exists at this depth.

h#4.5

8/8/8/7k/8/8/R1B5/Kr6 w - - 0 1

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

  1. Kxb1 Kg4 Kb2 Kf3 Kc3 Ke2 Bd3+ Kd1 Ra1#
  2. Bxb1 Kg4 Kb2 Kf3 Ra1 Ke2 Kc3 Kd1 Bd3#

mirror single-piece single-piece:black

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