2

I can find statistics on the number of moves until checkmate in the Syzygy endgame table for each material configuration. Let's say I am interested in "KQQvK" endgames. The statistics show that there are exactly 40 positions in which white can force mate in no less then 6 half-moves. Here is one such example given by their endgames.pgn file.

[FEN "8/8/8/1k6/8/3K4/3Q4/3Q4 b - - 0 1"]

Of course, I could mirror this position in every possible way, but this will not cover all 40 positions that require the maximum amount of moves. How is it possible to generate each position?

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  • 1
    I'm not sure there is an easy way to do this. You could of course generate your own tablebases and keep track of this, but I think at least the syzygy files themselves don't give you easy access to that information.
    – koedem
    Mar 7 '21 at 0:49
0

Kirill Kryukov's website is perhaps the best starting point. Here, all of the longest endgames for material configurations are given if for positions with 6 pieces or less and without a 5+1 piece count. For the moves, you could make a script to run each position through [Shredder](https://www.shredderchess.com/online/endgame-database.html} and record the best move sequence.

For reference, here is the entire list copied down and sorted by length, which the site has as an option.

KRNKNN 262 6k1/5n2/8/8/8/5n2/1RK5/1N6 w - - 0 1

KRPKNN 253 8/1P1k4/2R5/n7/1n6/K7/8/8 w - - 0 1 KRRPKQ 253 q7/7k/8/6R1/8/8/2P2R2/K7 w - - 0 1 KRNKNP 252 8/8/8/8/7k/8/1R2p2N/1K1n4 w - - 0 1

KRBKNN 238 8/8/8/8/2n2k2/2n5/5BR1/1K6 w - - 0 1

KRBKNP 229 8/8/2R5/3B4/k7/3np3/K7/8 w - - 0 1

KRRPKP 218 8/7k/8/8/PR3R2/8/p7/3K4 w - - 0 1 KRPPKQ 216 8/k1P5/8/8/1R5P/8/K7/7q w - - 0 1 KRPPKP 211 8/k1P5/8/8/1R5P/8/7p/3K4 w - - 0 1

KRNKBN 209 NbR5/8/n7/8/8/8/8/2K2k2 w - - 0 1 KRBKPP 208 8/8/8/8/7B/4k3/K1p1pR2/8 w - - 0 1 KRPKBN 204 8/1P6/8/n7/2K5/1b1R4/8/6k1 w - - 0 1

KRPKNP 198 4n3/6P1/5k2/8/8/8/1p1K4/R7 w - - 0 1 KRNKBP 194 8/8/7R/3kN3/1K6/8/5p1b/8 w - - 0 1

KRNKPP 188 8/2K5/R6N/8/8/2p5/5p2/3k4 w - - 0 1 KQPPKQ 182 8/4k3/8/Q7/8/7P/P7/q1K5 w - - 0 1 KBBPKR 180 2B5/4Br2/K1k5/8/8/8/6P1/8 w - - 0 1

KPPPKQ 178 6k1/P7/8/8/3q4/7P/P1K5/8 w - - 0 1 KQNKRR 174 3r2r1/8/k7/8/8/8/3K4/1Q4N1 w - - 0 1 KPPPKP 171 8/7k/2P5/1K6/8/5p1P/P7/8 w - - 0 1

KRPKBP 166 8/3R2P1/7k/8/8/8/5p2/K5b1 w - - 0 1 KQPKRR 165 8/3P2k1/8/3K4/8/8/r4r2/5Q2 w - - 0 1

KBPPKQ 158 8/5B1P/8/8/3k4/7P/4q3/1K6 w - - 0 1 KQBPKQ 158 8/5B1Q/8/8/3k4/6qP/8/1K6 w - - 0 1 KQPKRB 155 8/1kb5/8/8/3r4/8/4P3/2K1Q3 w - - 0 1 KRNKBB 152 8/7R/4b3/8/4k3/5b2/8/K6N w - - 0 1 KBPPKP 151 8/8/8/7B/4p2P/K2k3P/8/8 w - - 0 1 KQPKQP 151 8/3q4/2p4P/8/7Q/1k6/8/K7 w - - 0 1

KBPPKR 149 8/4P3/1r6/8/5B2/8/P7/K2k4 w - - 0 1 KBNPKR 141 3k4/8/r7/7N/8/8/K4BP1/8 w - - 0 1 KPPKPP 141 8/8/2p4P/5P2/1k6/4p3/K7/8 w - - 0 1 KQPKPP 141 2k5/2p5/1K6/7P/7Q/8/6p1/8 w - - 0 1

KRPKBB 136 8/8/3k2P1/1b6/8/8/K1R5/3b4 w - - 0 1 KQNPKQ 133 K3q3/3N4/8/8/8/k3P3/4Q3/8 w - - 0 1 KNPPKP 131 8/8/4NP2/8/1K6/3P4/p6k/8 w - - 0 1 KBBKNP 131 K7/8/8/k7/Bp6/7n/7B/8 w - - 0 1 KNPPKQ 130 8/5P2/4N3/8/8/K2P4/7k/6q1 w - - 0 1

KQPKQB 128 4b3/8/8/8/6Q1/k1K1P3/5q2/8 w - - 0 1 KQPKQN 128 4n1Q1/8/8/8/2K5/4P3/k4q2/8 w - - 0 1 KBNKNP 128 k7/6p1/8/1n1K4/8/5N2/8/4B3 w - - 0 1 KPPKP 127 8/8/8/8/1p2P3/4P3/1k6/3K4 w - - 0 1 KRBPKQ 127 8/7q/1R1P4/8/8/7B/3K4/k7 w - - 0 1 KQRPKQ 127 8/4R3/8/8/8/K1q1P1Q1/8/k7 w - - 0 1 KQPKQR 126 4r3/8/8/8/8/4P3/1k1K1Q2/1q6 w - - 0 1 KQPKRP 126 8/8/8/1K6/2Q5/1r2P3/1k4p1/8 w - - 0 1 KQPKBP 126 4b3/8/8/Q7/8/1k2P3/1p6/2K5 w - - 0 1 KQPKNP 125 4n3/8/8/8/8/3QP3/kp6/2K5 w - - 0 1 KPPKQ 124 8/4P3/7q/8/8/8/k1K1P3/8 w - - 0 1 KQPKQ 124 4Q3/8/7q/8/8/8/k3P3/2K5 w - - 0 1 KBNKPP 124 k1K5/7p/6NB/8/8/5p2/8/8 w - - 0 1 KQPKQQ 124 2Q5/8/7q/8/8/4P3/3q4/k1K5 w - - 0 1 KQRPKP 124 5Q1R/8/8/8/8/8/1p2P3/K1k5 w - - 0 1 KRNPKQ 123 7q/8/1NK5/4P3/1R6/8/8/k7 w - - 0 1 KQPPKP 123 8/8/8/Q7/8/8/1Pp1P3/1k1K4 w - - 0 1 KRBNKP 122 R3B3/N7/8/8/8/3K4/6p1/1k6 w - - 0 1 KQQPKQ 122 k1K1q3/8/8/8/8/8/6P1/5Q1Q w - - 0 1 KRNPKP 121 2N5/8/3K4/3P4/4k3/6R1/5p2/8 w - - 0 1 KRBNKQ 121 R3B3/8/8/1N6/8/3K4/8/1k4q1 w - - 0 1 KRBPKP 120 8/8/4P3/8/R2K4/B7/3p4/7k w - - 0 1

KRPKQR 118 6R1/5P2/8/2k1r2q/8/K7/8/8 w - - 0 1 KQRKQR 117 4q3/7R/8/4r2Q/8/4k3/8/2K5 w - - 0 1 KRPKRP 116 8/7P/1K5R/8/1r1k4/8/4p3/8 w - - 0 1 KNNKP 115 1N6/8/p7/8/8/8/2k1N3/K7 w - - 0 1 KQNPKP 115 8/8/8/8/5Q2/4P3/1pN5/K1k5 w - - 0 1 KNNPKP 114 1N6/8/p7/8/2Pk4/8/8/1K4N1 w - - 0 1 KBNPKQ 113 3N4/3P4/2K5/8/1k1q4/8/7B/8 w - - 0 1 KQRKRP 113 8/1K6/3Q3R/1r6/k7/8/4p3/8 w - - 0 1 KRBKBN 112 B7/8/8/4b3/8/1R6/3kn3/K7 w - - 0 1 KQBPKP 112 3B4/8/8/8/8/4P1Q1/1p6/K1k5 w - - 0 1 KBNPKN 111 5n2/8/8/2KN4/8/7k/B6P/8 w - - 0 1 KQPKRN 110 8/2n5/8/8/1K3r2/Q7/2kP4/8 w - - 0 1

KNNNKP 109 8/p7/8/8/8/4NN2/K3k3/7N w - - 0 1 KBNNKN 109 4k2N/3N4/2n5/8/8/3K4/2B5/8 w - - 0 1 KQQPKP 109 8/8/8/Q7/6Q1/8/1p1P4/K1k5 w - - 0 1 KBBNKN 108 8/8/8/8/8/8/1B4NB/2Kn3k w - - 0 1 KBNNKP 108 8/8/8/p3kB2/1K3N2/8/8/7N w - - 0 1 KRRNKQ 108 5R1N/8/5R2/8/7k/q7/8/K7 w - - 0 1 KBNKN 107 8/8/8/8/8/8/1n5B/2K1N2k w - - 0 1 KQBKRR 107 3r4/6Q1/5B2/8/8/5k2/2Kr4/8 w - - 0 1 KBNKQN 107 8/8/8/8/8/6B1/1n6/1Kq1N2k w - - 0 1 KBNKRN 107 8/8/8/8/8/6B1/1n6/1Kr1N2k w - - 0 1 KBNKBN 107 8/8/8/8/8/6B1/1n6/1Kb1N2k w - - 0 1 KBNKNN 107 8/8/8/8/8/6B1/1n6/1Kn1N2k w - - 0 1 KRBNKN 107 8/8/8/8/2R5/n5B1/8/1K2N2k w - - 0 1 KRNNKP 107 RN6/Nk6/p7/8/8/8/K7/8 w - - 0 1 KQBNKN 107 8/8/8/8/2Q5/n5B1/8/1K2N2k w - - 0 1 KBBKNN 106 4n3/8/8/B7/8/3K4/8/n1kB4 w - - 0 1 KBPKRR 106 8/r3P3/8/8/8/1r6/B7/2K3k1 w - - 0 1 KQPKP 105 8/8/8/8/3P2Q1/8/1p6/K1k5 w - - 0 1 KBPPKN 105 8/7P/6k1/5n2/3K3B/8/7P/8 w - - 0 1 KBBPKN 105 8/6n1/B3P3/8/2K5/8/7k/3B4 w - - 0 1 KQBKRP 105 8/Q7/8/K4rp1/5B2/8/6k1/8 w - - 0 1 KBNKQP 105 8/8/3q4/2K5/1p6/8/k7/5B1N w - - 0 1 KBNKRP 105 8/8/3r4/2K5/1p6/8/k7/5B1N w - - 0 1 KBNKBP 105 8/8/3b4/2K5/1p6/8/k7/5B1N w - - 0 1 KBNKP 104 8/8/3K4/8/8/1p6/k7/5B1N w - - 0 1 KQKRP 104 8/Q7/K7/5r2/5p2/8/6k1/8 w - - 0 1 KRPKQP 104 3R4/2P5/2K5/4q3/6k1/4p3/8/8 w - - 0 1 KBBKPP 104 B7/B7/8/5p2/8/2p5/1K1k4/8 w - - 0 1 KBPKRP 104 K7/8/4B2P/8/5p2/4r3/2k5/8 w - - 0 1 KPKRP 103 K7/7P/4r3/8/5p2/8/2k5/8 w - - 0 1 KBNPKP 103 8/8/3K4/8/8/1P6/1pk5/5B1N w - - 0 1 KBBNKP 103 8/8/3K4/8/8/kB1B4/1p6/N7 w - - 0 1 KQRKQP 103 2QR4/8/2K5/4q3/8/4p3/5k2/8 w - - 0 1 KQNKRP 103 8/K4r2/8/5N2/5p2/8/6k1/Q7 w - - 0 1 KRPKPP 103 8/2K3R1/8/3p4/8/4pP2/4k3/8 w - - 0 1 KBPKQN 102 3q4/2P5/7B/6n1/3K4/8/k7/8 w - - 0 1 KBPKRN 102 3r4/2P5/7B/6n1/3K4/8/k7/8 w - - 0 1 KRBKBP 101 8/8/8/8/8/K7/1pkb4/3R3B w - - 0 1 KBPKN 100 1n6/3P4/8/8/1K6/7B/8/k7 w - - 0 1

KBBPKQ 98 8/P1qB3k/4B3/8/8/8/K7/8 w - - 0 1 KNPKN 97 k7/3P4/2n5/K7/8/8/3N4/8 w - - 0 1 KQQKRP 97 8/8/1pk5/K7/8/8/Qr6/4Q3 w - - 0 1 KQRKPP 97 8/8/4QR2/8/8/4p3/1pk5/K7 w - - 0 1 KNPPKR 97 8/k1PN1r2/8/8/8/1P6/8/K7 w - - 0 1 KBBPKP 97 8/8/K6P/6B1/8/4B3/1p4k1/8 w - - 0 1 KNNNKB 96 6bN/8/8/8/8/1N6/2k5/K6N w - - 0 1 KQBBKQ 96 8/6k1/4B3/8/6B1/3q4/8/1K5Q w - - 0 1 KRPPKR 95 8/8/8/8/1k6/3r2P1/7P/K6R w - - 0 1

KNPPKN 93 7N/8/8/5k2/8/1P6/1P6/1K4n1 w - - 0 1 KNNPKN 92 N2n4/1P6/k7/4N3/3K4/8/8/8 w - - 0 1 KRBKBB 92 7k/4R2B/8/8/8/3K2bb/8/8 w - - 0 1 KQNNKP 92 8/8/8/1p6/QK6/5N2/8/4N2k w - - 0 1 KRBPKN 91 8/8/8/2K5/k7/3n1P1B/8/4R3 w - - 0 1 KQBPKN 91 8/8/8/2K5/k7/3n1P1B/8/4Q3 w - - 0 1 KBBKBN 90 8/8/k7/8/8/4B3/6n1/1BK4b w - - 0 1 KNNNKN 90 7N/N7/1k6/8/8/8/2K1n3/1N6 w - - 0 1 KRRBKQ 90 8/7B/8/k7/8/8/1R6/1RK1q3 w - - 0 1 KRPKQB 90 bK6/6P1/8/2q5/8/1k6/8/R7 w - - 0 1

KQRKQB 89 R7/8/1k6/8/3q4/8/8/bK4Q1 w - - 0 1 KRRKRN 89 r7/8/8/6n1/8/1k6/3RR3/2K5 w - - 0 1 KRRNKP 89 7N/8/8/2R5/8/R7/4p3/3K1k2 w - - 0 1 KNPPKB 88 8/8/N1b5/8/k7/8/2P1P3/K7 w - - 0 1 KRNPKN 88 1k6/R7/2nP4/K5N1/8/8/8/8 w - - 0 1 KPPPKN 87 8/5P2/2n1k3/8/3K4/1P6/1P6/8 w - - 0 1 KBBNKR 85 N7/1r4B1/8/8/8/7B/8/K1k5 w - - 0 1 KRNPKR 85 8/7N/8/8/8/2k5/4r2P/K2R4 w - - 0 1

KQPKBB 84 8/8/7P/8/4k3/3b4/3b4/1KQ5 w - - 0 1 KQBNKQ 84 7q/8/8/8/5B1N/2K4k/5Q2/8 w - - 0 1 KPKBB 83 8/8/7P/8/4k3/b7/8/1K3b2 w - - 0 1 KQRKQN 83 8/4nq2/8/k7/8/8/4Q3/3K2R1 w - - 0 1 KBPPKB 82 1k6/8/8/1P4B1/8/1K6/4P3/7b w - - 0 1 KQNKBB 82 8/8/8/3k4/4bb2/8/8/QKN5 w - - 0 1 KQKBB 81 8/1Q6/8/8/2bb4/8/3k4/K7 w - - 0 1 KQBKBB 81 8/1Q6/8/8/2bb4/3B4/3k4/K7 w - - 0 1 KQQKBB 81 8/8/3Q4/8/4k3/1b2b3/8/3KQ3 w - - 0 1 KQRKBB 81 5R2/8/7b/8/4k3/3b4/8/QK6 w - - 0 1 KQRKBP 81 2K5/4k3/8/8/5R2/7b/2p4Q/8 w - - 0 1 KNNPKB 80 1b6/8/2k5/3N4/8/6N1/3P4/K7 w - - 0 1 KQRKQQ 80 q3Q3/8/5q2/8/8/8/3k4/1K5R w - - 0 1 KBBKQN 80 8/8/8/5q2/1n6/B2k4/B7/2K5 w - - 0 1 KBBKRN 80 8/8/8/8/5n1B/3k3B/1r6/2K5 w - - 0 1 KQPKNN 80 8/2n5/8/K7/1Pn5/8/2k5/7Q w - - 0 1 KRRKRP 80 8/8/8/K7/8/kpR5/2R5/7r w - - 0 1 KRPKQQ 80 8/P7/5q2/8/8/5k2/KR6/7q w - - 0 1

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KQQK 4 1Q6/Q7/8/8/8/5k2/8/K7 w - - 0 1 KQRRK 4 5Q2/5R2/8/8/8/3k4/4R3/K7 w - - 0 1 KQQPK 4 3Q4/3Q4/8/8/8/3P4/8/K1k5 w - - 0 1 KQQNK 4 1Q6/2N5/1Q6/8/8/8/4k3/K7 w - - 0 1 KQQBK 4 3Q3Q/8/8/8/3B4/8/4k3/K7 w - - 0 1 KQQRK 4 8/8/8/8/4k3/8/1K6/QR1Q4 w - - 0 1 KNNKB 4 8/8/8/8/1N6/8/1b6/k1NK4 w - - 0 1 KBKPP 4 8/8/8/1p6/8/8/p7/k2KB3 w - - 0 1 KNNKQB 4 8/8/8/8/1N6/1q6/1b6/k1NK4 w - - 0 1 KNNKBB 4 8/8/8/8/8/3N4/k7/bNK3b1 w - - 0 1 KQQQK 3 8/8/1Q6/Q7/1Q6/8/8/K4k2 w - - 0 1 KNNKR 3 8/8/8/8/3N4/r7/8/k1K1N3 w - - 0 1 KBKBP 3 8/8/8/8/8/8/p7/kbBK4 w - - 0 1 KNNKQR 3 8/8/8/8/3N4/r7/2q5/k1K1N3 w - - 0 1 KNNKRR 3 8/8/8/8/3N4/r7/2r5/k1K1N3 w - - 0 1 KBKBN 2 8/8/8/8/2n5/8/b7/k1K1B3 w - - 0 1 KBKBB 2 8/8/8/8/8/8/b7/k1K1b1B1 w - - 0 1 KBKRP 2 8/8/8/8/8/8/p2r3B/k1K5 w - - 0 1 KBKRB 2 8/8/8/8/8/8/b2r3B/k1K5 w - - 0 1 KBKQP 2 8/8/8/8/8/8/p3q3/k1K1B3 w - - 0 1 KBKQB 2 8/8/8/8/8/8/b3q3/k1K1B3 w - - 0 1

KNNK 1 8/8/8/8/8/4N3/3N4/K1k5 w - - 0 1 KNKN 1 8/8/8/8/8/8/n1K5/k1N5 w - - 0 1 KNKB 1 8/8/8/8/8/8/b7/k1K1N3 w - - 0 1 KNKR 1 8/8/8/8/8/8/r2N4/k1K5 w - - 0 1 KBKP 1 8/8/8/8/8/8/p7/k1K1B3 w - - 0 1 KBKN 1 8/8/8/8/8/8/n1K5/k1B5 w - - 0 1 KBKB 1 8/8/8/8/8/8/b7/k1K1B3 w - - 0 1 KNNKQ 1 8/8/8/8/8/4N3/3N4/K1k1q3 w - - 0 1 KNKNN 1 8/8/8/8/n7/kn6/8/NK6 w - - 0 1 KNKBN 1 8/8/8/8/b7/kn6/8/NK6 w - - 0 1 KNKBB 1 8/8/8/8/8/N7/b7/k1K1b3 w - - 0 1 KNKRN 1 8/8/8/8/8/8/2rN4/K1kn4 w - - 0 1 KNKRB 1 8/8/8/8/8/8/2rN4/K1kb4 w - - 0 1 KNKRR 1 8/8/8/8/8/8/2rN4/K1kr4 w - - 0 1 KNKQN 1 8/8/8/8/q7/kn6/8/NK6 w - - 0 1 KNKQB 1 8/8/8/8/8/8/b1q5/k1K1N3 w - - 0 1 KNKQR 1 8/8/8/8/8/8/2rN4/K1kq4 w - - 0 1 KBKNN 1 8/8/8/8/8/8/n1K5/knB5 w - - 0 1 KBKRN 1 8/8/8/8/8/8/n1K5/k1Br4 w - - 0 1 KBKQN 1 8/8/8/8/8/8/n1K5/k1B1q3 w - - 0 1 KNNKQQ 1 8/8/8/8/8/4N3/3N4/K1k1qq2 w - - 0 1

KNK - - KBK - - KNKQ - - KBKR - - KBKQ - - KNKQQ - - KBKRR - - KBKQR - - KBKQQ - -

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