% Francois Labelle & computer, January 30, 2004 % All 51 checkmate PG-3.0 with exactly 1 solution. % They are all SPGs. (Forsyth-Edwards Notation, followed by the same list in ascii diagrams) SPG-3.0: rnb1kbnr/pppp1ppp/8/4p3/5P1q/8/PPPPP2P/RNBQKBNR rnb1kbnr/pppp1ppp/4p3/8/5P1q/8/PPPPP2P/RNBQKBNR rnb1kbnr/pppp1ppp/8/5p2/6Pq/8/PPPPP2P/RNBQKBNR rnb1kbnr/pppp1ppp/8/4p3/7q/5P2/PPPPP2P/RNBQKBNR rnb1kbnr/pppp1ppp/4p3/8/7q/5P2/PPPPP2P/RNBQKBNR rnb1kbnr/pppp1ppp/8/4p3/3q4/4KP2/PPPPP1PP/RNBQ1BNR rnb1kbnr/ppp1pppp/8/3p4/6q1/4PK2/PPPP1PPP/RNBQ1BNR rnb1kbnr/ppp1pppp/3p4/8/6q1/4PK2/PPPP1PPP/RNBQ1BNR rnb1kbnr/pppp1ppp/8/4p3/3q4/3K4/PPP1PPPP/RNBQ1BNR rnb1kbnr/pp1ppppp/8/2p5/1q6/2KP4/PPP1PPPP/RNBQ1BNR rnb1kbnr/ppp1pppp/8/8/4q3/8/PPPPKPPP/RNBQ1BNR rnb1kbnr/pp1ppppp/2p5/8/3q4/8/PPPKPPPP/RNB1QBNR rnb1kbnr/pppp1ppp/8/4p3/3q4/8/PPPKPPPP/RNB1QBNR rnb1kbnr/pppp1ppp/4p3/8/8/3P4/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4p3/8/3P4/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/Q7/8/3P4/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/Q3p3/8/3P4/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/8/2QP4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4p3/2QP4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/8/3P4/Q7/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4p3/3P4/Q7/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/8/3P4/1Q6/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4p3/3P4/1Q6/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/8/3PQ3/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4p3/3PQ3/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/8/1Q1P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4p3/1Q1P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/8/3P4/7Q/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4p3/3P4/7Q/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/8/3P4/6Q1/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4p3/3P4/6Q1/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppQ/4p3/8/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/8/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p1Q1/8/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppQ/8/4p3/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4p3/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/6Q1/4p3/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4pQ2/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/Q7/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/Q3p3/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/5Q2/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/Q7/4p3/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/1Q6/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/1Q2p3/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/Q3p3/8/3P4/8/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/8/3P4/5Q2/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4p3/3P4/5Q2/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/8/1Q6/3P4/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4p3/1Q6/3P4/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/4p3/8/8/2QP4/PPP1PPPP/RNq1KBNR rnb1kbnr/pppp1ppp/8/4p3/8/2QP4/PPP1PPPP/RNq1KBNR _________________ _________________ _________________ _________________ | | | | | | 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 | | 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 . q | . . . . . P . q | . . . . . . 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 | | 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 | |_________________|_________________|_________________|_________________| | | | | | | 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 | | 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 . . . . | . . . . . . . . | | . . . . . . . q | . . . q . . . . | . . . . . . q . | . . . . . . q . | | . . . . . P . . | . . . . K P . . | . . . . P K . . | . . . . P K . . | | 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 B N R | R N B Q . B N R | R N B Q . B N R | R N B Q . 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 . 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 | | . . . . . . . . | . . . . . . . . | . . . . . . . . | . . p . . . . . | | . . . . p . . . | . . p . . . . . | . . . . . . . . | . . . . . . . . | | . . . q . . . . | . q . . . . . . | . . . . q . . . | . . . q . . . . | | . . . K . . . . | . . K P . . . . | . . . . . . . . | . . . . . . . . | | P P P . P P P P | P P P . P P P P | P P P P K P P P | P P P K P P P P | | R N B Q . B N R | R N B Q . B N R | R N B Q . B N R | R N B . Q 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 . 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 | | . . . . . . . . | . . . . p . . . | . . . . . . . . | . . . . p . . . | | . . . . p . . . | . . . . . . . . | . . . . p . . . | Q . . . . . . . | | . . . q . . . . | . . . . . . . . | . . . . . . . . | . . . . . . . . | | . . . . . . . . | . . . P . . . . | . . . P . . . . | . . . P . . . . | | P P P K 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 B N R | R N q . K B N R | R N q . K B N R | R N q . 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 . 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 | | . . . . . . . . | . . . . p . . . | . . . . . . . . | . . . . p . . . | | Q . . . p . . . | . . . . . . . . | . . . . p . . . | . . . . . . . . | | . . . . . . . . | . . Q 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 | | R N q . K B N R | R N q . K B N R | R N q . K B N R | R N q . 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 . 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 | | . . . . . . . . | . . . . p . . . | . . . . . . . . | . . . . p . . . | | . . . . p . . . | . . . . . . . . | . . . . p . . . | . . . . . . . . | | . . . P . . . . | . . . P . . . . | . . . P . . . . | . . . P Q . . . | | Q . . . . . . . | . 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 | | R N q . K B N R | R N q . K B N R | R N q . K B N R | R N q . 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 . 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 | | . . . . . . . . | . . . . p . . . | . . . . . . . . | . . . . p . . . | | . . . . p . . . | . . . . . . . . | . . . . p . . . | . . . . . . . . | | . . . P Q . . . | . Q . P . . . . | . Q . 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 | | R N q . K B N R | R N q . K B N R | R N q . K B N R | R N q . 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 . 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 Q | | . . . . . . . . | . . . . p . . . | . . . . . . . . | . . . . p . . . | | . . . . p . . . | . . . . . . . . | . . . . p . . . | . . . . . . . . | | . . . P . . . . | . . . P . . . . | . . . P . . . . | . . . P . . . . | | . . . . . . . Q | . . . . . . 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 | | R N q . K B N R | R N q . K B N R | R N q . K B N R | R N q . 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 . k b n r | | p p p p . p p p | p p p p . p p p | p p p p . p p Q | p p p p . p p 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 . P P P P | | R N q . K B N R | R N q . K B N R | R N q . K B N R | R N q . 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 . 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 . . . | . . . . . . . . | | . . . . p . . . | . . . . p Q . . | 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 | | R N q . K B N R | R N q . K B N R | R N q . K B N R | R N q . 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 . 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 | | . . . . p . . . | Q . . . . . . . | . . . . p . . . | . . . . . . . . | | . . . . . Q . . | . . . . 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 | | R N q . K B N R | R N q . K B N R | R N q . K B N R | R N q . 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 . 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 . . . | . . . . p . . . | . . . . . . . . | . . . . p . . . | | . . . . . . . . | . . . . . . . . | . . . . p . . . | . . . . . . . . | | . . . P . . . . | . . . P . . . . | . . . P . . . . | . Q . . . . . . | | . . . . . . . . | . . . . . 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 | | R N q . K B N R | R N q . K B N R | R N q . K B N R | R N q . 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 | | 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 . . . . | . . Q P . . . . | | P P P . P P P P | P P P . P P P P | P P P . P P P P | | R N q . K B N R | R N q . K B N R | R N q . K B N R | |_________________|_________________|_________________|