h#6.5
1k5N/8/8/8/8/8/7N/b2K4 w - - 0 1
- Ke2 Kc7 Kf3 Kd6 Kg4 Ke5 Kh5 Kf4 Ng6+ Kg3 Nf1+ Kh3 Nf4#
KNNvkb
5 pieces.
- h#10
- longest mate
- h#6.5
- deepest unique
- 21
- positions at that depth
- h#6.5
- deepest dual
- h#5.5
- deepest strict dual
- 87,650,319
- positions with a helpmate
- 1,268,986
- with a unique solution
- 121,110,528
- cells in the plane
- 53,875,070 bytes
- on disk
Deepest unique problems
Only 2 distinct ideas exist at this depth.
h#6.5
1k5N/8/8/8/8/8/4b2N/3K4 w - - 0 1
- Kxe2 Kc7 Kf3 Kd6 Kg4 Ke5 Kh5 Kf4 Ng6+ Kg3 Nf1+ Kh3 Nf4#
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.
Deepest dual problems
Deepest dual with different first and last moves: h#5.5. The deepest dual overall is h#6.5, where the two solutions share a first or a last move.
h#5.5
7k/8/8/5b2/3N4/2K5/1N6/8 w - - 0 1
Two solutions, with different first and last moves (2 starts, 2 ends).
- Nd3 Bh3 Nf5 Kh7 Kd4 Kg6 Ke5 Kh5 Kf6 Bg4 Nf4#
- Nc4 Bc8 Ne6 Kg8 Kd4 Kf7 Ke5 Ke8 Kf6 Bd7 Nd6#
h#5.5
5k2/8/8/8/8/3K4/8/NbN5 w - - 0 1
Two solutions, with different first and last moves (2 starts, 2 ends).
- Kc3 Ke7 Kb2 Kd6 Kxb1 Kc5 Ncb3+ Kb4 Nc5 Ka3 Nc2#
- Kc4 Ke7 Kb5 Kd6 Ka6 Kc5 Ncb3+ Kb4 Nc2+ Ka4 Nc5#
pure model ideal mirror single-piece single-piece:black umnov
Note: the side to move is in check in the diagram.
h#5.5
5k2/8/8/4b3/8/3K4/8/N1N5 w - - 0 1
Two solutions, with different first and last moves (2 starts, 2 ends).
- Kd2 Ke7 Kc2 Kd6 Kb1 Kc5 Ncb3+ Kb4 Nc5 Ka3 Nc2#
- Kc4 Ke7 Kb5 Kd6 Ka6 Kc5 Ncb3+ Kb4 Nc2+ Ka4 Nc5#
set-play pure model mirror single-piece single-piece:black nocapture umnov