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Subject: Re: 256 mate problems

Author: Heiner Marxen

Date: 19:44:46 07/22/01

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On July 21, 2001 at 15:02:43, Uri Blass wrote:

>4k3/8/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p7/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/1p6/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/2p5/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/3p4/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/4p3/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/5p2/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/6p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/7p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/pp6/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p1p5/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p2p4/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p3p3/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p4p2/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p5p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p6p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/1pp5/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/1p1p4/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/1p2p3/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/1p3p2/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/1p4p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/1p5p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/2pp4/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/2p1p3/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/2p2p2/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/2p3p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/2p4p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/3pp3/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/3p1p2/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/3p2p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/3p3p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/4pp2/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/4p1p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/4p2p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/5pp1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/5p1p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/6pp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/ppp5/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/pp1p4/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/pp2p3/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/pp3p2/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/pp4p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/pp5p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p1pp4/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p1p1p3/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p1p2p2/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p1p3p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p1p4p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p2pp3/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p2p1p2/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p2p2p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p2p3p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p3pp2/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p3p1p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p3p2p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p4pp1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p4p1p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
>4k3/p5pp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1

As a reference point here are those of the above set, for which Chest finds
a mate of depth at most 7:

4k3/8/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 718366; acs 8; bm e4; ce 32756; dm 6;
pv e4 Kf8 Qg4 Ke8 Qg7 Kd8 Bb5 Kc8 Bc6 Kd8 Qd7#;
4k3/p7/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 18475646; acs 190; bm Nc3 b3 d4 e3
e4; ce 32754; dm 7; pv e3 a6 b3 a5 Bb5+ Kf8 Qf3+ Kg8 Be8 a4 Qf7+ Kh8 Bb2#;
4k3/1p6/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 17333339; acs 180; bm Nc3 d4 e4; ce
32754; dm 7; pv e4 b6 Bb5+ Ke7 f4 Kf7 Qg4 Kf8 Qg6 Ke7 Qf5 Kd6 Qe5#;
4k3/2p5/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 12096969; acs 129; bm d4 e4; ce
32754; dm 7; pv e4 c6 Qh5+ Kf8 Qf5+ Ke8 d4 c5 Bb5+ Ke7 Bg5+ Kd6 Qe5#;
4k3/3p4/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 13286071; acs 141; bm d4 e4; ce
32754; dm 7; pv e4 d6 Bb5+ Kf8 d4 d5 Qh5 dxe4 Be3 Kg8 Bc4+ Kf8 Qf7#;
4k3/4p3/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 14984299; acs 157; bm d4 e4; ce
32754; dm 7; pv e4 e6 Bb5+ Kf8 e5 Kg8 Qg4+ Kh8 a4 Kh7 Ra3 Kh8 Rh3#;
4k3/5p2/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 11460760; acs 128; bm d4 e4; ce
32754; dm 7; pv e4 f6 Bb5+ Kf8 d4 f5 Qh5 fxe4 Be3 Kg8 Bc4+ Kf8 Qf7#;
4k3/6p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 16160491; acs 182; bm Nc3 d4 e3 e4;
ce 32754; dm 7; pv e3 g6 Bb5+ Kf8 Qf3+ Kg8 b3 g5 Be8 g4 Qf7+ Kh8 Bb2#;
4k3/7p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 16546739; acs 182; bm Nc3 b3 b4 d4
e3 e4; ce 32754; dm 7; pv e3 h6 Bb5+ Kf8 Qf3+ Ke7 d4 h5 Qf5 h4 h3 Kd6 Qe5#;
4k3/pp6/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 22550415; acs 250; bm d4; ce 32754;
dm 7; pv d4 b6 e4 b5 Bxb5+ Kf8 Qf3+ Kg8 Bc4+ Kh8 Qh3+ Kg7 Qh6#;
4k3/p1p5/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 18504672; acs 203; bm d4 e4; ce
32754; dm 7; pv e4 c6 Qh5+ Kf8 e5 c5 Bc4 Ke7 Qf7+ Kd8 Be6 c4 Qd7#;
4k3/p2p4/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 25194763; acs 278; bm d4 e4; ce
32754; dm 7; pv e4 d6 Qh5+ Kf8 Qf5+ Kg8 Bc4+ d5 Bxd5+ Kh8 Qf7 a6 Qg8#;
4k3/p3p3/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 16366508; acs 178; bm e4; ce
32754; dm 7; pv e4 e6 d4 e5 Bb5+ Kf8 Qf3+ Kg8 Bc4+ Kh8 Qh3+ Kg7 Qh6#;
4k3/p4p2/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 15718467; acs 186; bm d4 e4; ce
32754; dm 7; pv e4 f6 Qh5+ Kf8 d4 a6 Bc4 Ke7 Qf7+ Kd6 Bf4+ Kc6 Qc7#;
4k3/p5p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 19096368; acs 216; bm d4 e4; ce
32754; dm 7; pv e4 g6 e5 g5 Qf3 a6 Bxa6 g4 Bb5+ Kd8 Qc6 g3 Qd7#;
4k3/p6p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 26466449; acs 291; bm Nc3 b3 d4 e3
e4; ce 32754; dm 7; pv e3 h6 b3 h5 Ba6 h4 Qf3 h3 Ba3 hxg2 Qf8+ Kd7 Qc8#;
4k3/1p5p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 17392280; acs 197; bm d4 e4; ce
32754; dm 7; pv e4 h6 Bb5+ Kf8 Qf3+ Ke7 e5 Ke6 Qf6+ Kd5 Nc3+ Kc5 Qd6#;
4k3/4p1p1/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 15978617; acs 179; bm e4; ce
32754; dm 7; pv e4 g6 Qf3 g5 Bb5+ Kd8 e5 Kc8 Qc6+ Kb8 Ba6 g4 Qb7#;
4k3/4p2p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 20580683; acs 230; bm d4 e4; ce
32754; dm 7; pv e4 h6 Bb5+ Kf8 Qf3+ Kg8 Bc4+ e6 Bxe6+ Kh8 Qf8+ Kh7 Bf5#;
4k3/5p1p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 18931846; acs 213; bm e4; ce
32754; dm 7; pv e4 h6 Qh5 Kf8 Qxh6+ Ke8 Bb5+ Ke7 e5 Kd8 Qd6+ Kc8 Ba6#;
4k3/6pp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 18257028; acs 200; bm e4; ce 32754;
dm 7; pv e4 h6 Bb5+ Kf8 Qf3+ Kg8 Bc4+ Kh8 Qf8+ Kh7 Qe8 h5 Qxh5#;
4k3/pp5p/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 31315207; acs 357; bm d4; ce
32754; dm 7; pv d4 h6 Bf4 h5 Qd3 h4 Qh7 h3 Bd6 Kd8 Qe7+ Kc8 Qc7#;
4k3/p5pp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - acn 30165023; acs 324; bm e4; ce
32754; dm 7; pv e4 h6 Qh5+ g6 Qe5+ Kd8 Nc3 h5 Nd5 h4 Qe7+ Kc8 Qc7#;

That took 2 hours 41 minutes on a K7/600 (350 MB hash) so it will not be
competetive, but the results may help others.

>There are 256 problems of the same kind when black has only a subset of the 8
>pawns(I was too lazy to post all of them).

Since I'm lazy, too, I didn't compose the rest :-)

Cheers,
Heiner



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