A Richard Reti problem (what is the mate score?)

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MOBMAT
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A Richard Reti problem (what is the mate score?)

Post by MOBMAT »

I found this problem and put it on my list of positions to solve.

https://blog.problemasdeajedrez.com/202 ... -1924.html

[d]8/4P3/4r3/k7/8/4N3/6p1/1R4Kb w - - 0 1

Eight pieces, should be easy.....

PV=1 in all cases.

I tried many engines on this and some found mate scores, but the results were all over the map. The best score I found was M23 but most engines stalled at M26 or couldn't find a mate score at all, thought most found the winning move (NF5) and showed a winning score.

My first choice of engines for this type (low piece count) is to use Houdini 6 (Houdidit version) with 6 man Nalimov EGTs and it eventually returned M25.

The old Equinox 3.3 engine found M23, but I'm not sure I trust the results.

What does your favorite engines come up with?
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Benchmark: Stockfish15.1 NNUE x64 bmi2 (nps): 1277K
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Vinvin
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Re: A Richard Reti problem (what is the mate score?)

Post by Vinvin »

Slowchess is quite good to find shortest mates : https://3dkingdoms.com/chess/slow.htm
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towforce
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Re: A Richard Reti problem (what is the mate score?)

Post by towforce »

Working with chess.com in analysis mode, I came up with this sequence which gets to an easy win - link.
Human chess is partly about tactics and strategy, but mostly about memory
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Dann Corbit
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Re: A Richard Reti problem (what is the mate score?)

Post by Dann Corbit »

https://www.yacpdb.org/#search/ODRQMzRy ... LzEvMS8w/1
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peter
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Re: A Richard Reti problem (what is the mate score?)

Post by peter »

[d]8/4P3/4r3/k7/8/4N3/6p1/1R4Kb w - -

Engine: The Huntsman 1 (32768 MB)
von the Stockfish developers (see AUTHORS f

84/50 0:27 +M25 1.Sf5 Ka4 2.Ta1+ Kb4 3.Sd4 Te4 4.Tc1 Ka3
5.Tc3+ Kb4 6.Te3 Txe7 7.Txe7 Kc4
8.Sf3 Kc5 9.Te1 Kd5 10.Kf2 Kc6
11.Sg1 Kd5 12.Kf3 Kd4 13.Td1+ Kc4
14.Kf4 (1.374.350.217) 49494
TB:21.668.847

After the first 7 moves of the output- line it's #18 according to Nalimov 6men, so if those 7 are best as for shortest DTM, full #25 is right too., regards
Peter.
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Dann Corbit
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Re: A Richard Reti problem (what is the mate score?)

Post by Dann Corbit »

I suspect mate in 26.

Code: Select all

This is the line from Arves:
[Event "?"]
[Site "?"]
[Date "????.??.??"]
[Round "?"]
[White "?"]
[Black "?"]
[Result "1-0"]
[FEN "8/4P3/4r3/k7/8/4N3/6p1/1R4Kb w - - 0 1"]
[Setup "1"]

1. Nf5 Ka4 Ra1+ Kb4 Nd4 Re4 Rc1 Ka3 Rc3+ Kb4 Re3 Rxe7 Rxe7 Kc4 Nf5 Kd5 Nh4 Kd6 Re2 Kc5 Nxg2 Bxg2 Kxg2 Kc4 Kf3 Kd5 Rd2+ Kc6 Ke4 Kc5 Rd8 Kc6 Rd5 Kc7 Ke5 Kc6 Ke6 Kc7 Rc5+ Kb7 Kd7 Kb6 Rh5 Kb7 Rh6 Ka8 Kc7 Ka7 Rd6 Ka8 Ra6+ 1-0


Roy Eassa gave this:

1.Nf5!
 [1.Nd5 Ka4 =]
1...Ka4
 [1...Re4 2.Nd4 Ka4 3.Ra1+ transposes to the main line;
 1...Re5 2.Nd4 Ka6 3.Nc2! Rxe7
 (3...Ka5 4.Re1 +-;
 3...Re2 4.Re1 +-)
 4.Nb4+ Kb5 5.Nd5+ +-
 ]
2.Nd4
 [or 2.Ra1+ Kb4 3.Nd4 Re4 4.Rc1, which transposes to the main line
 ]
2...Re4 3.Ra1+ Kb4 4.Rc1! Ka3 5.Rc3+ Kb4 6.Re3! Rxd4 7.Re1 +-

See also:
https://blog.problemasdeajedrez.com/2021/08/problema-de-ajedrez-2006-estudio-de-reti-correccion-tijdschrift-1924.html

Here are my analysis records for the position:
8/k1K5/3R4/8/8/8/8/8 b - - acd 60; bm Ka8; ce -32765; dm -1; pm Ka8; pv Ka8 Ra6+;
k7/2K5/3R4/8/8/8/8/8 w - - acd 57; bm Ra6+; ce 32766; dm 1; pm Ra6+; pv Ra6+;
k7/2K5/7R/8/8/8/8/8 b - - acd 60; bm Ka7; ce -32763; dm -2; pm Ka7; pv Ka7 Rd6 Ka8 Ra6+;
8/k1K5/7R/8/8/8/8/8 w - - acd 57; bm Rb6; ce 32764; dm 2; pm Rb6; pv Rb6 Ka8 Ra6+;
k7/3K4/7R/8/8/8/8/8 w - - acd 57; bm Kc7; ce 32762; dm 3; pm Kc7; pv Kc7 Ka7 Rb6 Ka8 Ra6+;
8/1k1K4/7R/8/8/8/8/8 b - - acd 60; bm Ka8; ce -32761; dm -3; pm Ka8; pv Ka8 Kc7 Ka7 Rd6 Ka8 Ra6+;
8/1k1K4/8/7R/8/8/8/8 w - - acd 57; bm Rh6; ce 32760; dm 4; pm Rh6; pv Rh6 Ka8 Kc7 Ka7 Rb6 Ka8 Ra6+;
8/3K4/1k6/7R/8/8/8/8 b - - acd 60; bm Kb7; ce -32759; dm -4; pm Kb7; pv Kb7 Rh6 Ka8 Kc7 Ka7 Rd6 Ka8 Ra6+;
8/1k1K4/8/2R5/8/8/8/8 b - - acd 60; bm Kb6; ce -32757; dm -5; pm Kb6; pv Kb6 Rh5 Kb7 Rh6 Ka8 Kc7 Ka7 Rd6 Ka8 Ra6+;
8/3K4/1k6/2R5/8/8/8/8 w - - acd 57; bm Rh5; ce 32758; dm 5; pm Rh5; pv Rh5 Kb7 Rh6 Ka8 Kc7 Ka7 Rb6 Ka8 Ra6+;
8/1k6/4K3/2R5/8/8/8/8 w - - acd 57; bm Kd7; ce 32756; dm 6; pm Kd7; pv Kd7 Kb6 Rh5 Kb7 Rh6 Ka8 Kc7 Ka7 Rb6 Ka8 Ra6+;
8/2k5/4K3/2R5/8/8/8/8 b - - acd 60; bm Kb6; ce -32755; dm -6; pm Kb6; pv Kb6 Kd6 Kb7 Rb5+ Ka6 Kc6 Ka7 Ra5+ Kb8 Ra1 Kc8 Ra8+;
8/2k5/4K3/3R4/8/8/8/8 w - - acd 57; bm Rc5+; ce 32754; dm 7; pm Rc5+; pv Rc5+ Kb6 Kd6 Kb7 Rb5+ Ka6 Kc6 Ka7 Ra5+ Kb8 Ra4 Kc8 Ra8+;
8/8/2k1K3/3R4/8/8/8/8 b - - acd 60; bm Kc7; ce -32753; dm -7; pm Kc7; pv Kc7 Rc5+ Kb6 Kd6 Kb7 Rb5+ Ka6 Kc6 Ka7 Ra5+ Kb8 Ra1 Kc8 Ra8+;
8/8/2k5/3RK3/8/8/8/8 w - - acd 57; bm Ke6; ce 32752; dm 8; pm Ke6; pv Ke6 Kc7 Rc5+ Kb6 Kd6 Kb7 Rb5+ Ka6 Kc6 Ka7 Ra5+ Kb8 Ra4 Kc8 Ra8+;
8/2k5/8/3RK3/8/8/8/8 b - - acd 60; bm Kc6; ce -32751; dm -8; pm Kc6; pv Kc6 Ke6 Kc7 Rc5+ Kb6 Kd6 Kb7 Rb5+ Ka6 Kc6 Ka7 Ra5+ Kb8 Ra1 Kc8 Ra8+;
8/2k5/8/3R4/4K3/8/8/8 w - - acd 57; bm Ke5; ce 32750; dm 9; pm Ke5; pv Ke5 Kc6 Ke6 Kc7 Rc5+ Kb7 Kd7 Kb6 Rh5 Kb7 Rh6 Ka8 Kc7 Ka7 Rb6 Ka8 Ra6+;
8/8/2k5/3R4/4K3/8/8/8 b - - acd 60; bm Kb6; ce -32749; dm -9; pm Kb6; pv Kb6 Kd4 Kc6 Kc4 Kb6 Rc5 Ka6 Rb5 Ka7 Kc5 Ka6 Kc6 Ka7 Ra5+ Kb8 Ra1 Kc8 Ra8+;
3R4/8/2k5/8/4K3/8/8/8 w - - acd 57; bm Rd5; ce 32748; dm 10; pm Rd5; pv Rd5 Kb6 Kd4 Kc6 Kc4 Kb6 Rc5 Ka6 Rb5 Ka7 Kc5 Ka6 Rb1 Ka7 Kc6 Ka8 Kc7 Ka7 Ra1+;
3R4/8/8/2k5/4K3/8/8/8 b - - acd 60; bm Kb5; ce -32747; dm -10; pm Kb5; pv Kb5 Rc8 Kb4 Kd5 Kb3 Kd4 Kb2 Kd3 Kb3 Rc4 Kb2 Rb4+ Ka3 Kc3 Ka2 Kc2 Ka3 Rg4 Ka2 Ra4+;
8/4P3/2N5/4r3/1k6/8/6p1/6Kb b - - acd 57; bm Kc5; ce -32747; dm -10; pm Kc5; pv Kc5 Nxe5 Kd5 e8=Q Ke4 Nf7+ Kd5 Qe5+ Kc6 Qd6+ Kb5 Ne5 Ka5 Qc5+ Ka6 Qb4 Ka7 Nd7 Ka8 Qb8+;
8/4P3/8/4r3/1k1N4/8/6p1/6Kb w - - acd 57; bm Nc6+; ce 32746; dm 11; pm Nc6+; pv Nc6+ Kc5 Nxe5 Kd5 e8=Q Ke4 Nf7+ Kd5 Qe5+ Kc6 Qd6+ Kb5 Ne5 Ka5 Qc5+ Ka6 Qb4 Ka7 Nd7 Ka8 Qb8+;
8/8/2k5/8/4K3/8/3R4/8 b - - acd 60; bm Kc5; ce -32745; dm -11; pm Kc5; pv Kc5 Rd8 Kc4 Rc8+ Kb4 Kd5 Kb3 Kd4 Kb2 Kc4 Kc2 Rd8 Kb2 Rd2+ Kc1 Kc3 Kb1 Rh2 Ka1 Kb3 Kb1 Rh1+;
8/8/8/2k5/4K3/8/3R4/8 w - - acd 57; bm Rd8; ce 32746; dm 11; pm Rd8; pv Rd8 Kc4 Rc8+ Kb5 Kd4 Kb6 Kd5 Kb5 Rb8+ Ka5 Kc5 Ka4 Rb5 Ka3 Kc4 Ka4 Re5 Ka3 Re2 Ka4 Ra2+;
8/8/8/3k4/8/5K2/3R4/8 b - - acd 60; bm Kc4; ce -32743; dm -12; pm Kc4; pv Kc4 Rd8 Kb4 Rc8 Kb5 Ke4 Kb4 Kd5 Kb3 Kd4 Kb2 Kc4 Kc2 Rd8 Kb2 Rd2+ Kc1 Kc3 Kb1 Rh2 Ka1 Kb3 Kb1 Rh1+;
8/8/2k5/8/8/5K2/3R4/8 w - - acd 57; bm Ke4; ce 32744; dm 12; pm Ke4; pv Ke4 Kc5 Rd8 Kc4 Rc8+ Kb5 Kd4 Kb6 Kd5 Kb5 Rb8+ Ka5 Kc5 Ka4 Rb5 Ka3 Kc4 Ka4 Re5 Ka3 Re2 Ka4 Ra2+;
8/8/8/3k4/8/5K2/4R3/8 w - - acd 57; bm Rd2+; ce 32742; dm 13; pm Rd2+; pv Rd2+ Kc4 Ke4 Kc5 Rd8 Kc4 Rc8+ Kb5 Kd4 Kb6 Kd5 Kb7 Rc5 Kb6 Kd6 Kb7 Rb5+ Ka6 Kc6 Ka7 Ra5+ Kb8 Ra4 Kc8 Ra8+;
8/8/8/8/2k5/5K2/4R3/8 b - - acd 60; bm Kd4; ce -32741; dm -13; pm Kd4; pv Kd4 Rd2+ Kc4 Ke4 Kc5 Rd8 Kc4 Rc8+ Kb5 Kd4 Kb6 Kd5 Kb7 Rc5 Kb6 Kd6 Kb7 Rb5+ Ka6 Kc6 Ka7 Ra5+ Kb8 Ra1 Kc8 Ra8+;
8/8/8/8/2k5/8/4R1K1/8 w - - acd 57; bm Kf3; ce 32740; dm 14; pm Kf3; pv Kf3 Kd4 Rd2+ Kc4 Rd1 Kc5 Ke4 Kc4 Rc1+ Kb4 Kd5 Kb3 Kd4 Kb4 Rb1+ Ka4 Kd5 Ka5 Kc4 Ka6 Kc5 Ka7 Kc6 Ka8 Kc7 Ka7 Ra1+;
8/8/8/2k5/8/8/4R1b1/6K1 w - - acd 57; bm Kxg2; ce 32738; dm 15; pm Kxg2; pv Kxg2 Kd6 Kf3 Kd5 Rd2+ Kc6 Ke4 Kc5 Rd4 Kc6 Rd5 Kc7 Ke5 Kc6 Ke6 Kc7 Rc5+ Kb7 Kd7 Kb6 Rg5 Kb7 Rg6 Kb8 Kc6 Ka8 Kb6 Kb8 Rg8+;
8/8/8/2k5/8/8/4R1K1/8 b - - acd 60; bm Kc6; ce -32737; dm -15; pm Kc6; pv Kc6 Kf3 Kd5 Rd2+ Kc6 Rd1 Kc5 Ke4 Kc6 Rd5 Kc7 Kd4 Kb6 Rc5 Ka6 Kd5 Kb7 Kd6 Kb6 Rd5 Kb7 Rb5+ Ka6 Kc6 Ka7 Ra5+ Kb8 Ra1 Kc8 Ra8+;
8/8/8/2k5/8/8/4R1N1/6Kb b - - acd 60; bm Bxg2; ce -32735; dm -16; pm Bxg2; pv Bxg2 Kxg2 Kd6 Rd2+ Kc5 Kf3 Kc4 Ke4 Kc5 Re2 Kd6 Kd4 Kc6 Re6+ Kd7 Kd5 Kc7 Kc5 Kd7 Re2 Kc7 Re7+ Kd8 Kd6 Kc8 Kc6 Kb8 Re1 Ka8 Kb6 Kb8 Re8+;
8/8/8/2k5/7N/8/4R1p1/6Kb w - - acd 57; bm Nxg2; ce 32736; dm 16; pm Nxg2; pv Nxg2 Bxg2 Kxg2 Kd4 Kf3 Kd5 Rd2+ Kc4 Ke4 Kc5 Rd8 Kc4 Rc8+ Kb4 Kd5 Kb3 Kd4 Kb2 Kc4 Kc2 Rd8 Kb2 Rd2+ Kc1 Kc3 Kb1 Rd1+ Ka2 Re1 Ka3 Ra1+;
8/8/3k4/8/7N/8/4R1p1/6Kb b - - acd 60; bm Kd5; ce -32733; dm -17; pm Kd5; pv Kd5 Nxg2 Bxg2 Kxg2 Kd4 Kf3 Kd5 Rd2+ Kc4 Ke4 Kc5 Rd5+ Kc4 Rh5 Kc3 Rc5+ Kb4 Kd4 Kb3 Kd3 Kb4 Rd5 Kb3 Rb5+ Ka4 Kc4 Ka3 Rb8 Ka2 Kc3 Ka1 Kc2 Ka2 Ra8+;
8/4P3/8/4R3/1k1Nr3/8/6p1/6Kb b - - acd 57; bm Rxd4; ce -32733; dm -17; pm Rxd4; pv Rxd4 Re1 Rf4 e8=Q Rf1+ Rxf1 gxf1=R+ Kxf1 Bd5 Ke2 Kc5 Kd3 Bc4+ Kc3 Ba2 Qf8+ Kd5 Qa8+ Ke5 Qxa2 Kf5 Kd4 Kf6 Ke4 Ke7 Ke5 Kd7 Qc4 Ke7 Qc7+ Kf8 Kf6 Kg8 Qg7+;
8/4R3/3k4/8/7N/8/6p1/6Kb w - - acd 57; bm Re2; ce 32734; dm 17; pm Re2; pv Re2 Kd5 Nxg2 Bxg2 Kxg2 Kc6 Kf3 Kd5 Rd2+ Kc6 Rd1 Kc5 Ke4 Kc6 Rd5 Kc7 Ke5 Kc6 Ke6 Kc7 Rc5+ Kb7 Kd7 Kb6 Rg5 Kb7 Rg6 Kb8 Kc6 Ka8 Kb6 Kb8 Rg8+;
8/4R3/8/3k4/7N/8/6p1/6Kb b - - acd 60; bm Kc5; ce -32733; dm -17; pm Kc5; pv Kc5 Nxg2 Kd6 Re2 Bxg2 Kxg2 Kd5 Kf3 Kd4 Rd2+ Kc4 Ke4 Kc5 Rd4 Kc6 Rd5 Kc7 Ke5 Kc6 Ke6 Kc7 Rc5+ Kb7 Kd7 Kb6 Rh5 Kb7 Rh6 Ka8 Kc7 Ka7 Rb6 Ka8 Ra6+;
8/4R3/8/5N2/2k5/8/6p1/6Kb b - - acd 60; bm Kd5; ce -32731; dm -18; pm Kd5; pv Kd5 Re1 Kc5 Ne3 Kd4 Nxg2 Bxg2 Kxg2 Kc4 Kf3 Kd5 Rd1+ Kc4 Rd8 Kc5 Ke4 Kc4 Rc8+ Kb5 Kd4 Kb6 Kd5 Kb7 Rc5 Kb6 Kd6 Kb7 Rb5+ Ka6 Kc6 Ka7 Ra5+ Kb8 Ra1 Kc8 Ra8+;
8/4R3/8/3k1N2/8/8/6p1/6Kb w - - acd 57; bm Nh4; ce 32732; dm 18; pm Nh4; pv Nh4 Kc4 Re8 Kd5 Nxg2 Bxg2 Kxg2 Kc6 Kf3 Kd6 Ke4 Kd7 Re5 Kd6 Kf5 Kd7 Rd5+ Kc7 Ke5 Kc6 Ke6 Kc7 Rc5+ Kb7 Kd7 Kb6 Rg5 Kb7 Rg6 Kb8 Kc6 Ka8 Kb6 Kb8 Rg8+;
8/4P3/8/k1R5/3Nr3/8/6p1/6Kb b - - acd 57; bm Kb6; ce -32731; dm -18; pm Kb6; pv Kb6 Rc6+ Kb7 Re6 Rxd4 Re1 Rf4 e8=Q Rf1+ Rxf1 gxf1=Q+ Kxf1 Kc7 Ke2 Bc6 Qe5+ Kd7 Ke3 Bg2 Kd4 Bh3 Kc5 Bg4 Qd6+ Ke8 Qf6 Kd7 Qf7+ Kc8 Qe7 Bf5 Kb6 Bd7 Qf8+ Be8 Qxe8+;
8/4P3/8/2R5/1k1Nr3/8/6p1/6Kb w - - acd 57; bm Re5; ce 32732; dm 18; pm Re5; pv Re5 Rxd4 Re1 Rf4 e8=Q Rf1+ Rxf1 gxf1=R+ Kxf1 Bd5 Ke2 Kc5 Kd3 Bc4+ Kc3 Ba2 Qf8+ Kd5 Qa8+ Ke5 Qxa2 Kf5 Kd4 Kf6 Qd5 Kg6 Ke5 Kg7 Kf5 Kh8 Kf6 Kh7 Qd7+ Kh6 Qh3+;
8/4P3/8/k7/3Nr3/8/6p1/2R3Kb w - - acd 57; bm Rc5+; ce 32730; dm 19; pm Rc5+; pv Rc5+ Kb6 Rc6+ Kb7 Re6 Rxd4 Re1 Rf4 e8=Q Rf1+ Rxf1 gxf1=Q+ Kxf1 Kc7 Ke2 Bc6 Qe5+ Kd7 Ke3 Bg2 Kd4 Kc6 Qe6+ Kb5 Qe2+ Kc6 Qxg2+ Kc7 Kc5 Kd7 Qe4 Kc7 Qe7+ Kc8 Kb6 Kb8 Qd8+;
8/4R3/8/8/1k1N4/8/6p1/6Kb b - - acd 60; bm Kc5; ce -32729; dm -19; pm Kc5; pv Kc5 Rd7 Kb6 Nf5 Kc5 Rd1 Kb5 Ne3 Kc6 Nxg2 Bxg2 Kxg2 Kc5 Kf3 Kc4 Kf4 Kc5 Ke4 Kc6 Rd5 Kc7 Ke5 Kc6 Ke6 Kc7 Rc5+ Kb7 Kd7 Kb6 Rh5 Kb7 Rh6 Kb8 Kc6 Ka7 Kc7 Ka8 Ra6+;
8/4R3/8/8/2kN4/8/6p1/6Kb w - - acd 57; bm Nf3; ce 32730; dm 19; pm Nf3; pv Nf3 Kc5 Nh4 Kc6 Re5 Kd6 Rg5 Ke6 Nxg2 Kf6 Rh5 Kf7 Kxh1 Kg6 Rd5 Kf6 Ne3 Ke7 Kg2 Ke6 Kf3 Ke7 Ke4 Kf6 Rd6+ Kf7 Kf5 Ke7 Ke5 Kf7 Nf5 Kg8 Kf6 Kh7 Kf7 Kh8 Rh6+;
8/4r3/8/8/1k1N4/4R3/6p1/6Kb w - - acd 57; bm Rxe7; ce 32728; dm 20; pm Rxe7; pv Rxe7 Kc5 Nf3 Kc4 Ne1 Kd5 Nxg2 Kd6 Ra7 Kc6 Kxh1 Kb6 Ra1 Kc5 Rd1 Kc6 Ne3 Kc7 Kg2 Kc8 Kf3 Kc7 Rc1+ Kb6 Nd5+ Kb7 Ke4 Ka6 Rc7 Kb5 Kd4 Ka4 Kc4 Ka3 Kc3 Ka4 Rc5 Ka3 Ra5+;
8/4P3/8/8/1k1Nr3/4R3/6p1/6Kb b - - acd 60; bm Rxe7; ce -32727; dm -20; pm Rxe7; pv Rxe7 Rxe7 Kc5 Rd7 Kb6 Nf5 Kc5 Rd1 Kc4 Ne3+ Kb3 Nxg2 Bxg2 Kxg2 Kc3 Kf3 Kc4 Ke4 Kc5 Rd4 Kc6 Rd5 Kc7 Ke5 Kc6 Ke6 Kc7 Rc5+ Kb7 Kd7 Kb6 Rh5 Kb7 Rh6 Kb8 Kc6 Ka7 Kc7 Ka8 Ra6+;
8/4P3/8/8/1k1Nr3/2R5/6p1/6Kb w - - acd 57; bm Re3; ce 32726; dm 21; pm Re3; pv Re3 Rxe7 Rxe7 Kc5 Nf3 Kc4 Ne1 Kd5 Nxg2 Kd6 Ra7 Kc6 Kxh1 Kb6 Rh7 Kc5 Ne3 Kd6 Kg2 Kc6 Rh6+ Kc5 Kf3 Kd4 Re6 Kc3 Re4 Kd2 Rd4+ Kc1 Ke2 Kb2 Kd2 Kb3 Nd1 Ka2 Kc2 Ka3 Rg4 Ka2 Ra4+;
8/4P3/8/8/3Nr3/k1R5/6p1/6Kb b - - acd 57; bm Kb4; ce -32725; dm -21; pm Kb4; pv Kb4 Re3 Rxe7 Rxe7 Kc5 Nf3 Kc4 Ne1 Kd4 Rd7+ Kc5 Nxg2 Bxg2 Kxg2 Kc6 Rd1 Kc5 Kf3 Kc6 Ke4 Kc5 Rd8 Kc4 Rc8+ Kb4 Kd5 Kb3 Kd4 Kb2 Rc4 Kb3 Kd3 Kb2 Rb4+ Ka3 Kc3 Ka2 Kc2 Ka3 Rg4 Ka2 Ra4+;
8/4P3/8/8/3Nr3/k7/6p1/2R3Kb w - - acd 57; bm Rc3+; ce 32724; dm 22; pm Rc3+; pv Rc3+ Kb4 Re3 Rxe7 Nc2+ Kc5 Rxe7 Kd5 Ne1 Kc6 Nxg2 Kd6 Ra7 Kc6 Kxh1 Kb6 Ra1 Kc5 Ne3 Kd4 Kg2 Ke4 Kf2 Ke5 Kf3 Kd4 Ra5 Kd3 Rd5+ Kc3 Ke2 Kb4 Kd3 Kb3 Rb5+ Ka3 Kc3 Ka2 Rb2+ Ka3 Nc4+ Ka4 Rb4+;
8/4P3/8/8/1k1Nr3/8/6p1/2R3Kb b - - acd 57; bm Ka3; ce -32723; dm -22; pm Ka3; pv Ka3 Rc3+ Kb4 Re3 Rxe7 Rxe7 Kc5 Nf3 Kc4 Ne1 Kd5 Nxg2 Kd6 Ra7 Kc6 Kxh1 Kb6 Ra1 Kc5 Ne3 Kd4 Nf5+ Kc5 Kg2 Kc6 Rc1+ Kb6 Kf3 Kb5 Ke4 Ka5 Nd6 Kb4 Kd3 Ka5 Kd4 Kb6 Kd5 Ka6 Kc6 Ka5 Rc4 Ka6 Ra4+;
8/4P3/8/8/1k1Nr3/8/6p1/R5Kb w - - acd 57; bm Rc1; ce 32722; dm 23; pm Rc1; pv Rc1 Ka3 Rc3+ Kb4 Re3 Rxe7 Rxe7 Kc5 Nf3 Kc4 Nh4 Kc5 Nxg2 Kd6 Ra7 Kc6 Kxh1 Kb6 Ra1 Kc5 Ra5+ Kc6 Ne3 Kc7 Kg2 Kd6 Rd5+ Ke7 Kf3 Kf6 Rd6+ Kg7 Kf4 Kf7 Nf5 Kf8 Ke5 Kf7 Rc6 Kg8 Kf6 Kh7 Kf7 Kh8 Rh6+;
8/4P3/4r3/8/1k1N4/8/6p1/R5Kb b - - acd 57; bm Re4; ce -32721; dm -23; pm Re4; pv Re4 Rc1 Ka3 Rc3+ Kb4 Re3 Rxe7 Rxe7 Kc5 Rd7 Kb6 Ne6 Kc6 Rd2 Kb5 Nf4 Kb6 Rc2 Ka5 Nxg2 Bxg2 Kxg2 Kb6 Rc1 Kb7 Kf3 Kb6 Ke4 Kb5 Kd4 Kb6 Kd5 Kb5 Rb1+ Ka4 Kc4 Ka5 Rb2 Ka6 Kc5 Ka7 Kc6 Ka8 Kc7 Ka7 Ra2+;
8/4P3/8/8/k2Nr3/8/6p1/R5Kb b - - acd 57; bm Kb4; ce -32721; dm -23; pm Kb4; pv Kb4 Rc1 Ka3 Rc3+ Kb4 Re3 Rxe7 Rxe7 Kc5 Nf3 Kc4 Nh4 Kc5 Nxg2 Kd6 Ra7 Kc6 Kxh1 Kb6 Rd7 Kc6 Rd1 Kb7 Ne3 Kb8 Kg2 Kb7 Rd5 Kb6 Kf3 Kc6 Ke4 Kb7 Ke5 Kc7 Rc5+ Kb6 Kd6 Kb7 Nc4 Kb8 Rb5+ Ka7 Kc7 Ka6 Ra5+;
8/4P3/4r3/8/k2N4/8/6p1/1R4Kb b - - acd 57; bm Re4; ce -32719; dm -24; pm Re4; pv Re4 Ra1+ Kb4 Rc1 Ka3 Rc3+ Kb4 Re3 Rxe7 Rxe7 Kc5 Nf3 Kc4 Rd7 Kc5 Rd1 Kb5 Rc1 Kb4 Nh4 Ka3 Nxg2 Kb2 Rc4 Kb3 Rf4 Ka3 Kxh1 Kb3 Ne3 Kb2 Kg2 Kc3 Kf2 Kd2 Rc4 Kd3 Kf3 Kd2 Ng4 Kd3 Ne5+ Kd2 Kf2 Kd1 Ke3 Ke1 Rc1+;
8/4P3/4r3/5N2/1k6/8/6p1/R5Kb w - - acd 57; bm Nd4; ce 32720; dm 24; pm Nd4; pv Nd4 Re4 Rc1 Ka3 Rc3+ Kb4 Re3 Rxe7 Rxe7 Kc5 Nf3 Kc4 Nh4 Kc5 Nxg2 Kd6 Ra7 Kc6 Kxh1 Kb6 Rh7 Kc5 Ne3 Kd6 Rh4 Ke6 Kg2 Ke5 Kf3 Kd6 Ke4 Ke6 Rh6+ Kf7 Rc6 Ke8 Nf5 Kd8 Ke5 Kd7 Kd5 Ke8 Ke6 Kd8 Nh4 Ke8 Rc8+;
8/4P3/4r3/5N2/k7/8/6p1/R5Kb b - - acd 57; bm Kb4; ce -32719; dm -24; pm Kb4; pv Kb4 Nd4 Re4 Rc1 Ka3 Rc3+ Kb4 Re3 Rxe7 Rxe7 Kc5 Nf3 Kc4 Nh4 Kc5 Nxg2 Kd6 Ra7 Kc6 Kxh1 Kb6 Rd7 Kc6 Rd2 Kb5 Rc2 Ka4 Nf4 Ka3 Rc5 Kb4 Nd3+ Kb3 Kg2 Ka4 Kf3 Kb3 Ke3 Ka3 Kd2 Kb3 Kc1 Ka3 Kc2 Ka4 Re5 Ka3 Ra5+;
8/4P3/8/8/k2Nr3/8/6p1/1R4Kb w - - acd 57; bm Ra1+; ce 32720; dm 24; pm Ra1+; pv Ra1+ Kb4 Rc1 Ka3 Rc3+ Kb4 Re3 Rxe7 Rxe7 Kc5 Nf3 Kc4 Nh4 Kc5 Nxg2 Kd6 Ra7 Kc6 Kxh1 Kb6 Rh7 Kc5 Ne3 Kd6 Kg2 Ke6 Kf3 Ke5 Rh5+ Kd6 Ke4 Kc6 Rh6+ Kc5 Ke5 Kb4 Kd4 Kb5 Nd5 Ka4 Kc4 Ka3 Rb6 Ka2 Nc3+ Ka3 Rb3+;
8/4P3/4r3/5N2/k7/8/6p1/1R4Kb w - - acd 57; bm Ra1+; ce 32718; dm 25; pm Ra1+; pv Ra1+ Kb4 Nd4 Re4 Rc1 Ka3 Rc3+ Kb4 Re3 Rxe7 Rxe7 Kc5 Nf3 Kc4 Ne1 Kd5 Nxg2 Kd6 Ra7 Kc6 Kxh1 Kb6 Ra1 Kc5 Ne3 Kd4 Nf5+ Kc5 Kg2 Kc6 Rc1+ Kb6 Kf3 Ka6 Rb1 Ka5 Ke4 Ka4 Nd4 Ka5 Rb5+ Ka6 Kd5 Ka7 Kc6 Ka6 Kc7 Ka7 Ra5+;
8/4P3/4r3/k4N2/8/8/6p1/1R4Kb b - - acd 57; bm Re4; ce -32717; dm -25; pm Re4; pv Re4 Nd4 Ka4 Ra1+ Kb4 Rc1 Ka3 Rc3+ Kb4 Re3 Rxe7 Rxe7 Kc5 Nf3 Kc4 Ne1 Kd5 Rd7+ Kc5 Rd2 Kc6 Rd1 Kc5 Nxg2 Kb4 Kxh1 Kc5 Ne3 Kc6 Kg2 Kc5 Kf3 Kc6 Rc1+ Kb6 Nd5+ Kb7 Ke4 Ka6 Rb1 Ka5 Kd4 Ka6 Kc5 Ka7 Kc6 Ka8 Nc7+ Ka7 Rb7+;
8/4P3/4r3/k7/8/4N3/6p1/1R4Kb w - - acd 72; bm Nf5; ce 32716; dm 26; pm Nf5; pv Nf5 Ka4 Ra1+ Kb4 Nd4 Re4 Rc1 Ka3 Rc3+ Kb4 Re3 Rxe7 Rxe7 Kc4 Nf5 Kd5 Nh4 Kd6 Re2 Kc5 Nxg2 Bxg2 Kxg2 Kc4 Kf3 Kd5 Rd2+ Kc6 Ke4 Kc5 Rd8 Kc6 Rd5 Kc7 Ke5 Kc6 Ke6 Kc7 Rc5+ Kb7 Kd7 Kb6 Rh5 Kb7 Rh6 Ka8 Kc7 Ka7 Rd6 Ka8 Ra6+;
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Paloma
Posts: 1208
Joined: Thu Dec 25, 2008 9:07 pm
Full name: Herbert L

Re: A Richard Reti problem (what is the mate score?)

Post by Paloma »

Nope. Is 25#

[pgn][Event "?"]
[Site "?"]
[Date "????.??.??"]
[Round "?"]
[White "?"]
[Black "?"]
[Result "*"]
[SetUp "1"]
[FEN "8/4P3/4r3/k7/8/4N3/6p1/1R4Kb w - - 0 1"]
[PlyCount "21"]

1. Nf5 {25#} Ka4 2. Ra1+ Kb4 3. Nd4 Re4 4. Rc1 Ka3 5. Rc3+ Kb4 6. Re3 {20#} Rxe7 7. Rxe7 {19#} Kc4 8. Nf3 ! {18#}
(8. Nf5 ? {19#} Kd5 9. Nh4 Kd6 10. Re2 {17#} Kc5 11. Nxg2 Bxg2 12. Kxg2 Kc4 13. Kf3 Kd5 14. Rd2+ Kc6 15. Ke4 Kc5 16. Rd8 Kc6 17. Rd5 Kc7 18. Ke5 Kc6 19. Ke6 Kc7 20. Rc5+ Kb7 21. Kd7 Kb6 22. Rh5 Kb7 23. Rh6 Ka8 24. Kc7 Ka7 25. Rd6 Ka8 26. Ra6#)
8... Kc5 9. Re1 {17#} Kd5 10. Kf2 {16#} Kc5 ! (10... Kc6? 11. Ng1 {14#}) 11. Rc1+ {15#} (or 11. Ng1 {15#}) *

[/pgn]
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