Helpmate tablebases Every solution to every position, precomputed.

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KRRvkn

5 pieces.

h#7
longest mate
h#5
deepest unique
229
positions at that depth
h#5
deepest dual
h#3
deepest strict dual
78,819,823
positions with a helpmate
7,945,202
with a unique solution
121,110,528
cells in the plane
38,135,370 bytes
on disk

Deepest unique problems

h#5

7k/6R1/8/8/7n/8/8/1K5R b - - 0 1

  1. Kxg7 Kc2 Nf3 Kd3 Nh2 Ke4 Kh6 Kf5 Kh5 Rxh2#

pure model ideal mirror nocheck

Note: the solution begins with a capture.

h#5

8/7R/6R1/7k/3n4/8/8/1K6 b - - 0 1

  1. Kxg6 Kc1 Nf5 Kd2 Nh6 Ke3 Kh5 Kf4 Kh4 Rxh6#

pure model ideal mirror switchback nocheck

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

h#3

8/8/8/8/8/8/7n/K2Rk1R1 b - - 0 1

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

  1. Ke2 Rb1 Nf1 Rb2+ Kd1 Rxf1#
  2. Kf2 Rh1 Kg3 Rdg1+ Kh4 Rxh2#

pure model mirror single-piece single-piece:black

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

h#3

8/8/8/8/8/n7/1R1k4/K4R2 b - - 0 1

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

  1. Kc3 Ra2 Kb4 Rb1+ Ka5 Rxa3#
  2. Nc2+ Ka2 Ke2 Rf2+ Kd1 Rb1#

pure model mirror single-piece single-piece:black

Note: the side to move is in check in the diagram.