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Subject: Re: Promotion frequency

Author: Dann Corbit

Date: 23:40:54 07/22/02

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On July 23, 2002 at 02:15:56, Pham Hong Nguyen wrote:

>>It might also win you a few games.  I have seen "short sighted" underpromotions
>
>I guess that in the real matches probability when underpromotions really help to
>win is around 1/million games. The results may be converted to an extra of 0.001
>elo ;)

I am very sure that with knights it is far higher than that.  Perhaps it is more
often than one game in 1000.  Moreover, if you are blind to see it, I think it
may cause serious problems in one game in 10, because you have a serious blind
spot and cannot see a true danger (all those areas where underpomotion can kill
you will now be enourmously magnified).

>I see in almost all cases of tough promotions, programs can simply delay
>queening one or few moves to avoid stalemate without any harmfulness.

Might be worth while to run against this test set.
1n4rk/1bp2Q1p/p2p4/1p2p3/5N1N/1P1P3P/1PP2p1K/8 b - - acd 4; acn 749; ce 32766;
pv f1=N#; pm f1=N#; bm f1=N#; id "BWTC.0926";
1Q6/7p/8/8/8/k2K4/1p5P/8 w - - acd 4; acn 9468; acs 1; ce 32762; pv Kc3 b1=N+
Qxb1;
1qrb4/r3pP1R/3k1N2/n2P4/3Q3K/N5p1/6B1/6B1 w - - acd 4; acn 60514; ce 32758; pv
Qf4+ e5 dxe6+ Ke7 f8=Q+ Kxf8 Rh8+ Ke7 Re8#; pm Qf4+; bm f8=N; id "BWTC.0931";
1R1R4/6pk/4p2p/2P1P2P/5P2/3p2rK/4p3/8 w - - acd 5; acn 7344; ce 32760; pv Kh2
Rg2+ Kxg2 e1=N+ Kf2 Nc2 Rh8#; pm Kh2; bm Kh2; id "BWTC.0318";
1r6/7P/5p2/5K2/5P2/4k3/8/8 b - - acd 8; acn 5392; acs 1; ce 32732; pv Rf8 Kg6 f5
Kg7 Ra8 h8=N Kxf4;
2b5/6k1/6P1/5pK1/8/6P1/8/8 b - - acd 4; acn 33; acs 1; ce 32722; pv Be6 Kh5 Kf6
Kh6 Bd7 g7 Be6 g8=N+ Bxg8 Kh5 Bd5;
2B5/8/3b4/3P4/2p5/1k4p1/3K4/8 b - - acd 9; acn 5518765; acs 16; ce 32752; pv g2
Ke3 g1=Q+ Ke2 c3 Kf3 c2 Bd7 Qg3+ Ke2 c1=N+ Kd2 Bf4+ Kd1 Qg1#;
2k5/6P1/1P2R3/4K3/8/8/8/6r1 w - - acd 8; acn 349179; acs 1; ce 32728; pv b7+ Kd7
Rd6+ Ke7 g8=N+ Rxg8;
2q5/5R1P/6K1/8/8/4k3/4p3/8 b - - acd 4; acn 1367; acs 1; ce 32740; pv Qe8 Kg7
e1=Q h8=N Qxf7+;
2r2r2/6kp/1p3pP1/8/4p1Q1/6KP/q6P/3B4 b - - acd 9; acn 50048610; ce 32750; pv
Rc3+ Bf3 Rxf3+ Qxf3 exf3 gxh7 Qg2+ Kf4 f2 h8=Q+ Rxh8 h4 Rxh4+ Ke3 f1=N+ Kd3
Qd2#; pm Rc3+; id "C.A.P. 366230";
2r5/2qnP1Q1/1p1k2P1/pPp1RP2/P2p4/3P2K1/8/4R3 w - - acd 7; acn 3418214; ce 32754;
pv e8=N+ Rxe8 Rxe8 Kd5+ Kh3 Qh2+ Kxh2 Kd6 R1e6+ Kc7 Rc6+ Kb7 Qxd7#; pm e8=N+; id
"C.A.P. 61657";
2R5/8/6kP/5pP1/5K2/8/8/8 w - - acd 4; acn 4185; acs 1; ce 32760; pv Rc7 Kh5 h7
Kg6 h8=N+ Kh5 Rh7#;
2r5/kP6/P7/1K6/8/8/8/8 w - - acd 19; acn 214; acs 1; ce 32748; pv bxc8=N+;
3b4/p3P1q1/P1n2pr1/4p3/2B1n1Pk/1P1R4/P1p3KN/1N6 w - - acd 11; acn 37467327; ce
32738; pv Rh3+ Kg5 Rh5+ Kf4 Rf5+ Ke3 Rf3+ Kd4 Rd3+ Kc5 Rd5+ Kb6 Rb5+ Kc7 Rb7+
Kd6 e8=N+ Kc5 Rb5+ Kd4 Rd5+ Ke3 Rd3+ Kf4 Rf3+ Kg5 Rf5+ Kh4 Rh5#; pm Rh3+; bm
Rh3+; id "CCC-I.06";
3K4/4P2p/2q5/1k6/7P/8/8/8 b - - acd 7; acn 148870; acs 1; ce 32738; pv Kb6 e8=N
Qh1 Ke7 Qxh4+;
3n4/8/n6p/2p2K1k/1b6/2p3P1/2B1p3/8 w - - acd 14; acn 1325207; ce 32750; pv Be4
e1=N Bd5 c2 Bc4 c1=N Bb5 Nc6 Bxc6 Nc7 Ba4 Ne2 Bd1 Nf3 Bxe2 Nb5 Bxf3#; pm Be4; bm
Be4; id "VA.27, Final part of a study of Gijs van Breukelen";
4B3/6k1/3P3p/p6P/P4P2/2pK4/8/8 w - - acd 8; acn 2441302; acs 7; ce 32754; pv d7
c2 d8=Q c1=N+ Ke4 Nb3 Qe7+ Kg8 Qf7+ Kh8 Qf8+ Kh7 Bg6#;
4k3/5P2/8/3r4/K7/P7/8/1q6 b - - acd 5; acn 10306; acs 1; ce 32762; pv Kd7 f8=N+
Kc6 Ne6 Qb5#;
4q3/6KP/5R2/8/8/4k3/4p3/8 b - - acd 4; acn 27097; acs 1; ce 32722; pv e1=Q h8=N
Qxh8+;
4r3/5P1k/5K1p/7P/8/8/8/8 w - - acd 4; acn 80; acs 1; ce 32738; pv fxe8=N;
4r3/5P1k/5Q2/8/8/8/8/4K3 w - - acd 4; acn 47; acs 1; ce 32764; pv fxe8=N;
5b1k/4p1pP/4P1P1/1p6/8/1N6/2pP4/2K5 w - - acd 11; acn 54206; ce 32754; pv d4 b4
Kd2 c1=Q+ Nxc1 b3 Nd3 b2 Ne5 b1=N+ Kd3 Na3 Nf7#; pm d4; bm d4; id "MES.0279";
5K2/6P1/8/3Pk3/8/7P/8/1q6 b - - acd 6; acn 86939; acs 1; ce 32748; pv Qf5+ Ke8
Kd6 g8=N Qxd5;
5K2/7k/8/6P1/8/pp1N3N/8/8 w - - acd 6; acn 93361; ce 32754; pv Ndf4 b2 g6+ Kh6
g7 b1=Q g8=N+ Kh7 Ng5+ Kh8 Nf7+ Kh7 Nf6#; pm Ndf4; bm Ndf4; id "MES.0110";
5k2/8/1p2PK2/p2B1p1P/P3b3/1P6/8/8 w - - acd 8; acn 1135790; acs 3; ce 32750; pv
h6 Ke8 h7 Kd8 h8=Q+ Kc7 e7 Kd6 Qc8 Kxd5 Qc4+ Kd6 e8=N+ Kd7 Qc7+ Kxe8 Qc8#;
5k2/8/4P3/7p/7P/p2K2P1/B2p1b2/8 b - - acd 9; acn 8653709; acs 31; ce 32754; pv
d1=Q+ Ke4 Qe2+ Kf4 Bd4 e7+ Kg7 e8=N+ Kh6 Be6 Qe3+ Kf5 Qe5#;
5K2/8/6P1/3Pk3/8/7P/1p6/8 b - - acd 8; acn 717565; acs 2; ce 32746; pv b1=Q g7
Qf5+ Ke8 Kd6 g8=N Qxd5;
5K2/8/8/3P1k2/6P1/1p5P/8/8 b - - acd 12; acn 1394766; acs 5; ce 32742; pv Ke5 g5
b2 g6 b1=Q g7 Qf5+ Ke8 Kd6 g8=N Qxd5;
5K2/8/8/3Pk1P1/8/1p5P/8/8 b - - acd 10; acn 855405; acs 3; ce 32744; pv b2 g6
b1=Q g7 Qf5+ Ke8 Kd6 g8=N Qxd5;
5q2/5R1P/6K1/8/8/4k3/4p3/8 b - - acd 7; acn 72534; acs 1; ce 32740; pv Qe8 Kg7
e1=Q h8=N Qxf7+;
5r1k/3RK3/6PP/8/8/8/8/8 w - - acd 5; acn 7555; acs 1; ce 32758; pv g7+ Kh7
gxf8=N+ Kxh6;
5r1k/6p1/5pPp/2pBpP1P/p2nP3/q7/3Q4/6RK w - - acd 4; acn 1915; ce 32760; pv Qxh6+
gxh6 g7+ Kh7 gxf8=N+ Kh8 Rg8#; pm Qxh6+; bm Qxh6+; id "BWTC.0917";
5r2/6Pk/7P/6K1/8/8/8/8 w - - acd 19; acn 214; acs 1; ce 32748; pv gxf8=N+;
5rk1/7p/2B3p1/3p2P1/3B4/1pP5/3K2n1/1R6 w - - acd 11; acn 54492795; ce 32752; pv
Bxd5+ Rf7 Rf1 b2 Rxf7 b1=N+ Kd3 Nxc3 Bxc3 h5 Rd7+ Kf8 Rd8+ Ke7 Bf6#; pm Bxd5+;
id "C.A.P. 375662";
6K1/2r4P/P7/6k1/8/8/6P1/8 b - - acd 11; acn 275146; acs 1; ce 32712; pv Kg6
h8=N+ Kf6 g3 Ra7 g4 Rd7 a7 Rxa7;
6K1/7P/4k3/8/8/p7/P4p2/8 b - - acd 6; acn 94121; acs 1; ce 32752; pv f1=Q h8=N
Qg2+ Kf8 Qxa2;
6K1/8/4k2P/8/8/p4p2/P7/8 b - - acd 8; acn 246018; acs 1; ce 32750; pv f2 h7 f1=Q
h8=N Qg2+ Kf8 Qxa2;
6n1/5P1k/7p/np4b1/3B4/1pP4P/5PP1/1b4K1 w - - acd 4; acn 599; ce 32766; pv f8=N#;
pm f8=N#; bm f8=N#; id "BWTC.0907";
6Nk/5K2/8/8/7P/8/6P1/8 w - - acd 7; acn 17949; ce 32754; pv g3 Kh7 g4 Kh8 g5 Kh7
g6+ Kh8 g7+ Kh7 Nf6+ Kh6 g8=N#; pm g3; bm g3; id "IMCP.039";
6Qn/p3Pp2/2p5/K1pR3p/2kB4/5B2/P1p2N2/8 w - - acd 4; acn 93577; ce 32762; pv e8=Q
c1=N Rxc5+ Kxd4 Qe5#; pm e8=Q; bm e8=Q; id "CUSTMATE.005";
6R1/8/5p2/5p2/8/7k/4K2p/8 w - - acd 10; acn 190336; acs 1; ce 32716; pv Kf2
h1=N+ Kf3 Kh2 Rf8 Kg1 Rxf6;
7k/7P/7P/8/8/2q5/K2p4/8 b - - acd 4; acn 31710; acs 1; ce 32764; pv d1=N Kb1
Qb2#;
7k/7P/7P/8/8/2qp4/8/1K6 b - - acd 4; acn 16012; acs 1; ce 32762; pv d2 Ka2 d1=N
Kb1 Qb2#;
7R/8/5p2/5p2/8/8/4K1kp/8 w - - acd 11; acn 145529; acs 1; ce 32714; pv Rg8+ Kh3
Kf2 h1=N+ Kf3 Kh2 Rf8 f4 Rxf6;
7r/PK6/8/4p3/4P3/8/6k1/8 b - - acd 4; acn 2258; acs 1; ce 32740; pv Kf3 a8=N
Kxe4;
8/1B6/Pk2N3/8/K7/8/2P5/8 w - - acd 7; acn 156260; ce 32758; pv c4 Ka7 c5 Kb8 c6
Ka7 c7 Kb6 c8=N#; pm c4; bm c4; id "IMCP.077";
8/1Pk5/P7/4P3/8/4Kb1p/8/8 b - - acd 10; acn 5794076; acs 21; ce 32738; pv Bxb7
e6 h2 e7 h1=Q e8=N+ Kb6 axb7;
8/2b5/8/7p/7P/7K/5kp1/8 b - - acd 4; acn 1501; acs 1; ce 32766; pv g1=N#;
8/2bk4/1p6/p1p5/P1P1B3/1P4p1/3p4/5K2 b - - acd 5; acn 28806; acs 1; ce 32758; pv
d1=Q+ Kg2 Qe2+ Kh3 Qxe4 b4 g2 bxa5 g1=N#;
8/3b2k1/6P1/5p1K/8/6P1/8/8 b - - acd 7; acn 5908; acs 1; ce 32720; pv Bc8 Kg5
Be6 Kh5 Kf6 Kh6 Bd7 g7 Be6 g8=N+ Bxg8 Kh5 Bd5;
8/3P1PBk/5P2/8/6K1/8/8/8 w - - acd 4; acn 50230; ce 32764; pv d8=N Kg6 f8=N#; pm
d8=N; bm d8=N; id "IMCP.071";
8/4k1K1/5p1P/8/6P1/8/4p3/8 b - - acd 6; acn 58103; acs 1; ce 32748; pv e1=Q h7
Qg3 h8=N Qxg4+;
8/4k1K1/5p2/7P/6P1/4p3/8/8 b - - acd 8; acn 72514; acs 1; ce 32746; pv e2 h6
e1=Q h7 Qg3 h8=N Qxg4+;
8/4k1KP/5p2/8/6P1/8/8/4q3 b - - acd 5; acn 8876; acs 1; ce 32750; pv Qh4 h8=N
Qxg4+;
8/4k1P1/1R5r/8/6K1/8/1p6/8 w - - acd 4; acn 2205; acs 1; ce 32740; pv g8=N+ Kd7
Nxh6;
8/4K1P1/2k2P2/8/8/8/2p5/5r2 b - - acd 6; acn 171258; acs 2; ce 32742; pv c1=Q
g8=N Rxf6;
8/4K3/2k2P2/2p5/6P1/8/8/5r2 b - - acd 10; acn 2149126; acs 11; ce 32736; pv c4
g5 c3 g6 c2 g7 c1=Q g8=N Rxf6;
8/4K3/2k2P2/6P1/2p5/8/8/5r2 b - - acd 8; acn 546203; acs 3; ce 32738; pv c3 g6
c2 g7 c1=Q g8=N Rxf6;
8/4K3/2k2PP1/8/8/2p5/8/5r2 b - - acd 7; acn 767030; acs 4; ce 32740; pv c2 g7
c1=Q g8=N Rxf6;
8/4k3/3R1R1P/8/1K6/7r/8/8 w - - acd 9; acn 1283793; acs 5; ce 32732; pv h7 Rh4+
Kc5 Rh2 Rfe6+ Kf7 h8=N+ Rxh8;
8/4P3/8/PK1n4/8/3k4/8/8 w - - acd 33; acn 302; acs 1; ce 32734; pv e8=N;
8/5B2/6P1/8/5p2/5P2/4K1kp/8 w - - acd 9; acn 751709; acs 2; ce 32728; pv g7 h1=N
g8=Q+ Ng3+ Qxg3+ Kxg3;
8/5B2/8/6P1/5p2/5P1p/4K1k1/8 w - - acd 7; acn 72415; acs 1; ce 32726; pv g6 h2
g7 h1=N g8=Q+ Ng3+ Qxg3+ Kxg3;
8/5B2/8/8/5pPp/5P2/4K1k1/8 w - - acd 13; acn 1786931; acs 4; ce 32724; pv g5 h3
g6 h2 g7 h1=N g8=Q+ Ng3+ Qxg3+ Kxg3;
8/5k1P/4p2K/6R1/8/5q2/8/8 b - - acd 7; acn 192273; acs 1; ce 32752; pv Qh1+ Rh5
Qg2 h8=N+ Kf6 Re5 Qh2+ Rh5 Qf4+ Kh7 Qc7+ Nf7 Qxf7+ Kh8 Qg7#;
8/5k1P/4p2K/7R/8/7q/8/8 b - - acd 7; acn 176878; acs 1; ce 32754; pv Qg2 h8=N+
Kf6 Rc5 Qh2+ Rh5 Qf4+ Kh7 Qc7+ Nf7 Qxf7+ Kh6 Qg6#;
8/5K2/6P1/7P/8/2p5/2k5/6r1 b - - acd 10; acn 2885050; acs 15; ce 32742; pv Kd3
h6 c2 h7 c1=Q h8=N Qc7+ Kg8 Rxg6+;
8/5p2/7k/6r1/3Q4/7K/6p1/8 b - - acd 7; acn 160849; acs 1; ce 32724; pv g1=N+ Kh2
Nf3+ Kh1 Rg1+ Qxg1;
8/5P2/PK2n1kp/8/8/8/8/8 w - - acd 4; acn 860; acs 1; ce 32726; pv f8=N+ Nxf8;
8/6P1/5K1k/6N1/5N2/8/8/8 w - - acd 4; acn 9599; ce 32766; pv g8=N#; pm g8=N#; bm
g8=N#; id "BWTC.0913";
8/6p1/6P1/8/3k4/4p1P1/4K3/8 b - - acd 7; acn 1208; acs 1; ce 32708; pv Ke4 g4
Kf4 Kd3 Kf3 Kd4 e2 Kd3 e1=N+ Kd2 Kxg4;
8/6p1/6P1/8/4k1P1/4p3/4K3/8 b - - acd 10; acn 26608; acs 1; ce 32710; pv Kf4 Kd3
Kf3 Kd4 e2 Kd3 e1=N+ Kd2 Kxg4;
8/6R1/3Pk3/5p2/6pp/4P3/6PK/4q3 b - - acd 9; acn 10946894; ce 32756; pv g3+ Rxg3
hxg3+ Kh3 Qxe3 d7 Qf4 d8=N+ Kd5 Nf7 Qg4#; pm g3+; id "C.A.P. 103400";
8/7P/1p1bB3/5pk1/P3p3/5ppK/8/8 b - - acd 4; acn 1491; acs 1; ce 32764; pv g2
h8=Q g1=N#;
8/7P/4qRK1/8/8/4k3/4p3/8 b - - acd 6; acn 117760; acs 1; ce 32720; pv Qe8+ Kg7
e1=Q h8=N Qxh8+;
8/7P/8/8/p7/4N3/kp1K4/8 w - - acd 8; acn 250947; acs 3; ce 32740; pv Nd5 Kb3
h8=Q b1=N+ Kc1 Kc4 Kxb1;
8/8/1b6/7p/7P/6p1/5k2/7K b - - acd 4; acn 8864; acs 1; ce 32762; pv g2+ Kh2 Bc7+
Kh3 g1=N#;
8/8/1b6/7p/7P/6p1/5k2/7K b - - acd 4; acn 9067; acs 1; ce 32762; pv g2+ Kh2 Bc7+
Kh3 g1=N#;
8/8/1p1bB2P/5pk1/P3pp2/6pK/8/8 b - - acd 4; acn 2847; acs 1; ce 32762; pv f3 Bf7
g2 h7 g1=N#;
8/8/1Q6/8/8/4K1p1/P4pk1/8 w - - acd 10; acn 1799938; acs 7; ce 32730; pv Qc6+
Kg1 Qf3 f1=N+ Ke2 g2 Qf2+ Kh1 Qxf1+;
8/8/2p5/2P4P/1p6/2k1K3/8/8 w - - acd 12; acn 2154349; acs 7; ce 32742; pv h6 b3
h7 b2 h8=Q+ Kc2 Qh7+ Kc1 Qd7 b1=N Qxc6;
8/8/2Q5/8/8/4K1p1/P4p2/6k1 w - - acd 8; acn 95025; acs 1; ce 32732; pv Qf3 f1=N+
Ke2 g2 Qf2+ Kh1 Qxf1+;
8/8/2R2p2/3p3k/3PpP2/p6P/1rpK4/8 b - - acd 10; acn 58401633; ce 32748; pv a2 Ra6
e3+ Kc1 Rb1+ Kxc2 e2 Ra8 e1=Q Rh8+ Kg6 f5+ Kg7 Rh7+ Kxh7 Kd3 Rb3+ Kc2 a1=N#; pm
a2; id "C.A.P. 381818";
8/8/3b1p2/6Pp/5P2/5bP1/2B2k1K/8 b - - acd 9; acn 783781; acs 2; ce 32754; pv
fxg5 Bf5 gxf4 Kh3 fxg3 Be6 g2 Kh4 Be7+ Kh3 g1=N+ Kh2 Bd6#;
8/8/3Pk3/5p2/7p/4P1R1/6PK/4q3 b - - acd 8; acn 6327784; ce 32758; pv hxg3+ Kh3
Qxe3 d7 Qf4 d8=N+ Kd5 Nf7 Qg4#; pm hxg3+; id "C.A.P. 105102";
8/8/3R4/8/5K2/7p/7p/6k1 w - - acd 20; acn 83543813; ce 32744; pv Rd1+ Kf2 Rd2+
Kg1 Kg3 h1=N+ Kf3 Ng3 Kxg3 Kf1 Kf3 Ke1 Rh2 Kd1 Ke3 Kc1 Kd3 Kb1 Kc3 Ka1 Kb3 Kb1
Rh1#; pm Rd1+; bm Rd1+; id "ECE3.0201";
8/8/5k1P/3p1Pp1/2bPp3/1p2K3/8/4b3 b - - acd 8; acn 462410; acs 2; ce 32756; pv
b2 h7 Kg7 f6+ Kxh7 f7 b1=Q f8=N+ Kh6 Nh7 Qc1#;
8/8/5k2/8/8/2P2K1R/6p1/r7 b - - acd 4; acn 5708; acs 1; ce 32740; pv g1=N+ Kf4
Nxh3+;
8/8/6P1/K7/1pkb4/8/2P5/8 b - - acd 14; acn 5391369; acs 16; ce 32716; pv Kc5 Ka4
Bg7 Kb3 Bc3 Ka2 Kd5 Kb3 Ke6 g7 Kf7 g8=N Kxg8;
8/8/6R1/5p2/2K2k2/7p/8/8 w - - acd 16; acn 14044578; ce 32722; pv Rh6 Kg3 Kd3 h2
Ke2 Kg2 Rg6+ Kh3 Kf2 h1=N+ Kf3 Kh2 Rg8 f4 Kxf4; pm Rh6; id "C.A.P. 382164";
8/8/8/2Q4p/1p6/1k1K4/p7/8 w - - acd 5; acn 31819; acs 1; ce 32760; pv Qc2+ Ka3
Kc4 a1=N Qb1 b3 Qxa1#;
8/8/8/4B3/8/1p1k1pPp/1P4b1/6K1 b - - acd 10; acn 442097; acs 1; ce 32754; pv Ke3
Bf4+ Ke2 Be3 Kxe3 Kh2 f2 g4 Kf3 g5 f1=N+ Kg1 h2#;
8/8/8/7p/1p6/k2K4/p1Q5/8 w - - acd 4; acn 339; acs 1; ce 32762; pv Kc4 a1=N Qb1
b3 Qxa1#;
8/8/8/8/1p6/2k5/K7/3b4 b - - acd 4; acn 1140; acs 1; ce 32760; pv b3+ Ka3 b2 Ka2
Bb3+ Ka3 b1=N#;
8/8/8/8/4pBpb/4P1k1/8/6K1 b - - acd 12; acn 447661; acs 2; ce 32736; pv Kf3 Kh2
Bf2 Bb8 g3+ Kh3 g2 Bh2 g1=N+ Bxg1 Bxg1;
8/8/8/8/4pBpb/4Pk2/7K/8 b - - acd 10; acn 237913; acs 2; ce 32738; pv Bf2 Bd6
g3+ Kh3 g2 Bh2 g1=N+ Bxg1 Bxg1;
8/8/8/8/4r1k1/6pp/8/5R1K b - - acd 5; acn 4107; acs 1; ce 32756; pv g2+ Kh2
gxf1=N+ Kh1 Ng3+ Kg1 Re1+ Kf2 Re2+ Kg1 h2#;
8/8/8/8/6k1/7p/6pK/5R2 b - - acd 19; acn 214; acs 1; ce 32748; pv gxf1=N+;
8/8/8/8/7k/7p/6pK/5R2 b - - acd 21; acn 236; acs 1; ce 32746; pv gxf1=N+;
8/8/8/8/7p/4rkp1/8/1R4K1 b - - acd 9; acn 979027; acs 2; ce 32754; pv h3 Rf1+
Kg4 Kh1 g2+ Kh2 gxf1=N+ Kh1 Re1 Kg1 Kg3 Kh1 Nd2#;
8/8/8/8/8/3B1k1P/5p1K/r7 b - - acd 4; acn 2461; acs 1; ce 32754; pv f1=N+ Bxf1;
8/8/8/8/r5kp/6p1/8/5R1K b - - acd 9; acn 298304; acs 1; ce 32752; pv h3 Rg1 Re4
Rf1 g2+ Kh2 gxf1=N+ Kh1 Re1 Kg1 Ng3+ Kf2 Re2+ Kg1 h2#;
8/8/PP6/8/8/8/3K1pk1/6b1 b - - acd 4; acn 49365; acs 1; ce 32696; pv f1=N+ Kd3
Bxb6;
8/P1K5/4b3/2k1P3/8/8/1p6/8 b - - acd 6; acn 136483; acs 1; ce 32754; pv b1=Q
a8=N Qe4 Kd8 Qxa8+;
8/p4p1p/5Q1n/5b1k/8/1PPPb3/PBKNpq1P/R7 b - - acd 4; acn 13448; acs 1; ce 32758;
pv e1=N+ Rxe1 Qxd2+ Kb1 Bxd3+ Ka1 Qxe1+ Bc1 Qxc1#;
8/P7/5p2/2N5/5K2/8/3pk3/8 w - - acd 6; acn 33079; acs 1; ce 32744; pv Ne4 d1=N
Nxf6;
8/PK6/4b3/2k1P3/8/1p6/8/8 b - - acd 8; acn 766772; acs 5; ce 32752; pv b2 Kc7
b1=Q a8=N Qa1 Kd8 Qxa8+;
8/PN6/5p2/8/5K2/3p4/4k3/8 w - - acd 8; acn 666880; acs 4; ce 32742; pv Nc5 d2
Ne4 d1=N Nxf6;
B1N5/2P5/8/4k1pp/4p3/4PpPP/3K4/r7 b - - acd 9; acn 37599754; ce 32748; pv f2 Nb6
f1=Q Nd7+ Kd6 c8=N+ Kxd7 Nb6+ Kd6 Bxe4 Qc1+ Kd3 Ra3+ Ke2 Rxe3+ Kf2 Qd2+ Kg1
Re1#; pm f2; id "C.A.P. 109579";
B2n4/3P4/5K2/8/8/8/7p/6k1 w - - acd 4; acn 397; acs 1; ce 32742; pv Ke7 h1=N
Kxd8;
B2n4/3P4/8/5K2/8/8/5k1p/8 w - - acd 6; acn 2528; acs 1; ce 32740; pv Kf6 Kg1 Ke7
h1=N Kxd8;
B7/2P5/1N6/4k1pp/4p3/4P1PP/3K1p2/r7 b - - acd 8; acn 4233539; ce 32750; pv f1=Q
Nd7+ Kd6 c8=N+ Kxd7 Nb6+ Kd6 Bxe4 Qc1+ Kd3 Ra3+ Ke2 Rxe3+ Kf2 Qd2+ Kg1 Re1#; pm
f1=Q; id "C.A.P. 109845";
K1B5/B1pP4/2kq1b1R/1N6/2P2N2/8/4R3/8 w - - acd 4; acn 12201; ce 32762; pv Rxf6
Qxf6 Re6+ Qxe6 d8=N#; pm Rxf6; bm Ne6; id "CUSTMATE.011";
k1r5/8/PP2R3/1K6/8/8/8/8 w - - acd 6; acn 30184; acs 1; ce 32756; pv b7+ Ka7
bxc8=N+ Kb8 a7+ Ka8 Re8 Kb7 Re7+;
Q7/8/8/1K6/3B4/5p2/6kp/8 w - - acd 8; acn 2103821; acs 6; ce 32746; pv Qg8+ Kh3
Bf2 h1=N Qg1 Nxf2;
r5k1/8/5PP1/1R4K1/8/8/8/8 w - - acd 8; acn 356836; acs 1; ce 32758; pv Rb7 Rf8
g7 Re8 f7+ Kh7 fxe8=N Kg8 Nf6#;
r7/1Pk5/2P5/3K4/8/8/8/1R6 w - - acd 4; acn 2747; acs 1; ce 32762; pv bxa8=N+ Kc8
Ke6 Kd8 Rb8#;
R7/8/8/8/4K3/2P3p1/4kp2/8 w - - acd 10; acn 289675; acs 1; ce 32730; pv Ra2+ Kd1
Ke3 f1=N+ Kf3 Ke1 Ra1+ Kd2 Rxf1;
R7/8/8/8/6K1/8/6kp/8 w - - acd 16; acn 7728470; ce 32746; pv Ra2+ Kg1 Kg3 h1=N+
Kf3 Ng3 Rg2+ Kf1 Rxg3 Ke1 Ke3 Kd1 Kd3 Kc1 Kc3 Kb1 Rg1+ Ka2 Rh1 Ka3 Ra1#; pm
Ra2+; bm Ra2+; id "ECE3.0054";




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