% Francois Labelle & computer, January 30, 2004 % All 38 checkmate PG-2.5 with exactly 2 solutions. % They are all SPGs. (Forsyth-Edwards Notation, followed by the same list in ascii diagrams) SPG-2.5: rnbqkbnr/ppppp1p1/5pBp/8/8/4P3/PPPP1PPP/RNBQK1NR rnbqkbnr/ppppp1p1/5pB1/7p/8/4P3/PPPP1PPP/RNBQK1NR rnbqkbnr/ppppp2p/8/5ppB/8/4P3/PPPP1PPP/RNBQK1NR rnbqkbnr/ppppp2p/5p2/6pB/8/4P3/PPPP1PPP/RNBQK1NR rnbqkbnr/ppppp2p/8/5ppB/4P3/8/PPPP1PPP/RNBQK1NR rnbqkbnr/ppppp2p/5p2/6pB/4P3/8/PPPP1PPP/RNBQK1NR rnbqkbnr/ppppp1p1/5pQp/8/8/2P5/PP1PPPPP/RNB1KBNR rnbqkbnr/ppppp1p1/5pQ1/7p/8/2P5/PP1PPPPP/RNB1KBNR rnbqkbnr/ppppp1p1/5pQp/8/2P5/8/PP1PPPPP/RNB1KBNR rnbqkbnr/ppppp1p1/5pQ1/7p/2P5/8/PP1PPPPP/RNB1KBNR rnbqkbnr/ppppp2p/5p2/4P1pQ/8/8/PPPP1PPP/RNB1KBNR rnbqkbnr/ppppp2p/8/4PppQ/8/8/PPPP1PPP/RNB1KBNR rnbqkbnr/ppppp1p1/5pQp/8/8/4P3/PPPP1PPP/RNB1KBNR rnbqkbnr/ppppp1p1/6Qp/5p2/8/4P3/PPPP1PPP/RNB1KBNR rnbqkbnr/ppppp1p1/5pQ1/7p/8/4P3/PPPP1PPP/RNB1KBNR rnbqkbnr/ppppp1p1/6Q1/5p1p/8/4P3/PPPP1PPP/RNB1KBNR rnbqkbnr/ppppp1p1/5pQp/8/4P3/8/PPPP1PPP/RNB1KBNR rnbqkbnr/ppppp1p1/6Qp/5p2/4P3/8/PPPP1PPP/RNB1KBNR rnbqkbnr/ppppp1p1/5pQ1/7p/4P3/8/PPPP1PPP/RNB1KBNR rnbqkbnr/ppppp1p1/6Q1/5p1p/4P3/8/PPPP1PPP/RNB1KBNR rnbqkbnr/ppppp1p1/5pQp/8/3P4/8/PPP1PPPP/RNB1KBNR rnbqkbnr/ppppp1p1/5pQ1/7p/3P4/8/PPP1PPPP/RNB1KBNR rnbqkbnr/ppppp2p/8/5ppQ/8/3BP3/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/5p2/6pQ/8/3BP3/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/8/5ppQ/4P3/3B4/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/5p2/6pQ/4P3/3B4/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/B4p2/6pQ/8/4P3/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/B7/5ppQ/8/4P3/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/8/5ppQ/2B5/4P3/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/5p2/6pQ/2B5/4P3/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/8/1B3ppQ/8/4P3/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/5p2/1B4pQ/8/4P3/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/8/1B3ppQ/4P3/8/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/5p2/1B4pQ/4P3/8/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/8/5ppQ/2B1P3/8/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/5p2/6pQ/2B1P3/8/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/B4p2/6pQ/4P3/8/PPPP1PPP/RNB1K1NR rnbqkbnr/ppppp2p/B7/5ppQ/4P3/8/PPPP1PPP/RNB1K1NR _________________ _________________ _________________ _________________ | | | | | | r n b q k b n r | r n b q k b n r | r n b q k b n r | r n b q k b n r | | p p p p p . p . | p p p p p . p . | p p p p p . . p | p p p p p . . p | | . . . . . p B p | . . . . . p B . | . . . . . . . . | . . . . . p . . | | . . . . . . . . | . . . . . . . p | . . . . . p p B | . . . . . . p B | | . . . . . . . . | . . . . . . . . | . . . . . . . . | . . . . . . . . | | . . . . P . . . | . . . . P . . . | . . . . P . . . | . . . . P . . . | | P P P P . P P P | P P P P . P P P | P P P P . P P P | P P P P . P P P | | R N B Q K . N R | R N B Q K . N R | R N B Q K . N R | R N B Q K . N R | |_________________|_________________|_________________|_________________| | | | | | | r n b q k b n r | r n b q k b n r | r n b q k b n r | r n b q k b n r | | p p p p p . . p | p p p p p . . p | p p p p p . p . | p p p p p . p . | | . . . . . . . . | . . . . . p . . | . . . . . p Q p | . . . . . p Q . | | . . . . . p p B | . . . . . . p B | . . . . . . . . | . . . . . . . p | | . . . . P . . . | . . . . P . . . | . . . . . . . . | . . . . . . . . | | . . . . . . . . | . . . . . . . . | . . P . . . . . | . . P . . . . . | | P P P P . P P P | P P P P . P P P | P P . P P P P P | P P . P P P P P | | R N B Q K . N R | R N B Q K . N R | R N B . K B N R | R N B . K B N R | |_________________|_________________|_________________|_________________| | | | | | | r n b q k b n r | r n b q k b n r | r n b q k b n r | r n b q k b n r | | p p p p p . p . | p p p p p . p . | p p p p p . . p | p p p p p . . p | | . . . . . p Q p | . . . . . p Q . | . . . . . p . . | . . . . . . . . | | . . . . . . . . | . . . . . . . p | . . . . P . p Q | . . . . P p p Q | | . . P . . . . . | . . P . . . . . | . . . . . . . . | . . . . . . . . | | . . . . . . . . | . . . . . . . . | . . . . . . . . | . . . . . . . . | | P P . P P P P P | P P . P P P P P | P P P P . P P P | P P P P . P P P | | R N B . K B N R | R N B . K B N R | R N B . K B N R | R N B . K B N R | |_________________|_________________|_________________|_________________| | | | | | | r n b q k b n r | r n b q k b n r | r n b q k b n r | r n b q k b n r | | p p p p p . p . | p p p p p . p . | p p p p p . p . | p p p p p . p . | | . . . . . p Q p | . . . . . . Q p | . . . . . p Q . | . . . . . . Q . | | . . . . . . . . | . . . . . p . . | . . . . . . . p | . . . . . p . p | | . . . . . . . . | . . . . . . . . | . . . . . . . . | . . . . . . . . | | . . . . P . . . | . . . . P . . . | . . . . P . . . | . . . . P . . . | | P P P P . P P P | P P P P . P P P | P P P P . P P P | P P P P . P P P | | R N B . K B N R | R N B . K B N R | R N B . K B N R | R N B . K B N R | |_________________|_________________|_________________|_________________| | | | | | | r n b q k b n r | r n b q k b n r | r n b q k b n r | r n b q k b n r | | p p p p p . p . | p p p p p . p . | p p p p p . p . | p p p p p . p . | | . . . . . p Q p | . . . . . . Q p | . . . . . p Q . | . . . . . . Q . | | . . . . . . . . | . . . . . p . . | . . . . . . . p | . . . . . p . p | | . . . . P . . . | . . . . P . . . | . . . . P . . . | . . . . P . . . | | . . . . . . . . | . . . . . . . . | . . . . . . . . | . . . . . . . . | | P P P P . P P P | P P P P . P P P | P P P P . P P P | P P P P . P P P | | R N B . K B N R | R N B . K B N R | R N B . K B N R | R N B . K B N R | |_________________|_________________|_________________|_________________| | | | | | | r n b q k b n r | r n b q k b n r | r n b q k b n r | r n b q k b n r | | p p p p p . p . | p p p p p . p . | p p p p p . . p | p p p p p . . p | | . . . . . p Q p | . . . . . p Q . | . . . . . . . . | . . . . . p . . | | . . . . . . . . | . . . . . . . p | . . . . . p p Q | . . . . . . p Q | | . . . P . . . . | . . . P . . . . | . . . . . . . . | . . . . . . . . | | . . . . . . . . | . . . . . . . . | . . . B P . . . | . . . B P . . . | | P P P . P P P P | P P P . P P P P | P P P P . P P P | P P P P . P P P | | R N B . K B N R | R N B . K B N R | R N B . K . N R | R N B . K . N R | |_________________|_________________|_________________|_________________| | | | | | | r n b q k b n r | r n b q k b n r | r n b q k b n r | r n b q k b n r | | p p p p p . . p | p p p p p . . p | p p p p p . . p | p p p p p . . p | | . . . . . . . . | . . . . . p . . | B . . . . p . . | B . . . . . . . | | . . . . . p p Q | . . . . . . p Q | . . . . . . p Q | . . . . . p p Q | | . . . . P . . . | . . . . P . . . | . . . . . . . . | . . . . . . . . | | . . . B . . . . | . . . B . . . . | . . . . P . . . | . . . . P . . . | | P P P P . P P P | P P P P . P P P | P P P P . P P P | P P P P . P P P | | R N B . K . N R | R N B . K . N R | R N B . K . N R | R N B . K . N R | |_________________|_________________|_________________|_________________| | | | | | | r n b q k b n r | r n b q k b n r | r n b q k b n r | r n b q k b n r | | p p p p p . . p | p p p p p . . p | p p p p p . . p | p p p p p . . p | | . . . . . . . . | . . . . . p . . | . . . . . . . . | . . . . . p . . | | . . . . . p p Q | . . . . . . p Q | . B . . . p p Q | . B . . . . p Q | | . . B . . . . . | . . B . . . . . | . . . . . . . . | . . . . . . . . | | . . . . P . . . | . . . . P . . . | . . . . P . . . | . . . . P . . . | | P P P P . P P P | P P P P . P P P | P P P P . P P P | P P P P . P P P | | R N B . K . N R | R N B . K . N R | R N B . K . N R | R N B . K . N R | |_________________|_________________|_________________|_________________| | | | | | | r n b q k b n r | r n b q k b n r | r n b q k b n r | r n b q k b n r | | p p p p p . . p | p p p p p . . p | p p p p p . . p | p p p p p . . p | | . . . . . . . . | . . . . . p . . | . . . . . . . . | . . . . . p . . | | . B . . . p p Q | . B . . . . p Q | . . . . . p p Q | . . . . . . p Q | | . . . . P . . . | . . . . P . . . | . . B . P . . . | . . B . P . . . | | . . . . . . . . | . . . . . . . . | . . . . . . . . | . . . . . . . . | | P P P P . P P P | P P P P . P P P | P P P P . P P P | P P P P . P P P | | R N B . K . N R | R N B . K . N R | R N B . K . N R | R N B . K . N R | |_________________|_________________|_________________|_________________| | | | | r n b q k b n r | r n b q k b n r | | p p p p p . . p | p p p p p . . p | | B . . . . p . . | B . . . . . . . | | . . . . . . p Q | . . . . . p p Q | | . . . . P . . . | . . . . P . . . | | . . . . . . . . | . . . . . . . . | | P P P P . P P P | P P P P . P P P | | R N B . K . N R | R N B . K . N R | |_________________|_________________|