Author: Brian Katz
Date: 11:48:10 12/30/03
Go up one level in this thread
On December 30, 2003 at 14:27:01, Brian Katz wrote: >Do any programs out there find mate in less than 80 moves? > >The winning idea after winning black’s queens, is to corral the Knights, win two >of them, and then get into a K+B+B vs K+N 5 piece Tablebase endgame, which in >some positions, require at least 74 moves. Perhaps more. >If you don't have the 5 piece Tablebases, your program probably will not find >mate. You will need at least the 5 piece endgame mentioned above. > >You may need to set the Tablebase Depth to a setting of 0 rather than the >Default setting of 3. > >[D]n5Kn/8/7k/B6n/8/2B5/2Bq4/4q3 w > >Analysis by Fritz 8: Tablebase Depth set at 0. >Hardware: AMD Athlon XP 2600+ 1 Gig DDR SDRAM > >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Nd5 5.Bb3 Ne7 6.Beg3 > +- (7.22) Depth: 7/12 00:00:00 18kN, tb=45 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Nd5 5.Bb3 Ne7 6.Beg3 > +- (7.22) Depth: 8/14 00:00:00 26kN, tb=46 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Nd5 5.Bb3 Ne7 6.Beg3 > +- (7.22) Depth: 9/16 00:00:00 42kN, tb=71 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Kg4 5.Be4 Nd5 6.Bxd5 Kxf4 > +- (7.22) Depth: 10/21 00:00:00 88kN, tb=220 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Kg4 5.Be4 Nc4 6.Beg3 Kh5 7.Kg7 > +- (7.28) Depth: 11/21 00:00:00 197kN, tb=529 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Kg4 5.Bf2 Nd5 6.Bb3 Nc3 7.Be6+ Kf3 >8.Be5 > +- (7.28) Depth: 12/23 00:00:00 467kN, tb=1594 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Kg4 5.Bf2 Nd5 6.Be5 Kf3 7.Bfd4 Ne3 >8.Bd3 > +- (7.31) Depth: 13/25 00:00:00 1018kN, tb=4800 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Kg4 5.Bf2 Nd5 6.Be5 Kf3 7.Bfd4 Ne7 >8.Bd3 Nd5 > +- (7.41) Depth: 14/26 00:00:02 2134kN, tb=11604 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Kg4 5.Bf2 Nd5 6.Be5 Kf3 7.Bfd4 Nb4 >8.Bf5 Nd5 9.Kg7 > +- (7.44) Depth: 15/29 00:00:04 4887kN, tb=31168 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Kg4 5.Bf2 Nd5 6.Be5 Kf3 7.Bfd4 Nb4 >8.Bf5 Nd5 9.Kg7 Nf4 > +- (7.50) Depth: 16/29 00:00:09 10238kN, tb=72603 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Kg4 5.Bf2 Nc4 6.Be4 Nb2 7.Bd4 Nc4 >8.Kg7 > +- (7.56) Depth: 17/32 00:00:25 26904kN, tb=234367 >1.Bxd2+! > +- (7.84) Depth: 18/33 00:00:34 36314kN, tb=355809 >1.Bxd2+! > +- (8.13) Depth: 18/35 00:00:54 57493kN, tb=596406 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Ba5 Nd7 5.Kxh8 Nc5 6.Bb6 Nd7 7.Kg7 Kg4 > +- (8.16) Depth: 18/35 00:01:02 66117kN, tb=688821 >1.Bxd2+! > +- (8.44) Depth: 19/37 00:01:09 73772kN, tb=767130 >1.Bxd2+! > +- (8.72) Depth: 19/37 00:01:10 74411kN, tb=798334 >1.Bxd2+! > +- (9.28) Depth: 19/37 00:01:12 76918kN, tb=865923 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Ba5 Nc4 5.Kxh8 Kg4 6.Bd1+ Kf5 7.Be2 Nb2 >8.Bc1 Na4 9.Ba3 Ke4 10.Bd1 > +- (9.59) Depth: 19/40 00:02:17 156703kN, tb=1772123 >1.Bxd2+! > +- (9.88) Depth: 20/39 00:02:28 168406kN, tb=1892491 >1.Bxd2+! > +- (10.16) Depth: 20/39 00:02:30 171306kN, tb=1973122 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Ba5 Nc4 5.Kxh8 Kg4 6.Bac7 Kf3 7.Bc1 Ke2 > +- (10.22) Depth: 20/39 00:04:10 291849kN, tb=3152989 >1.Bxd2+! > +- (10.50) Depth: 21/37 00:04:33 317648kN, tb=3419102 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Kg4 5.Ba5 Nc4 6.Bac7 Kf3 7.Bc1 Ke2 >8.Be4 > +- (10.56) Depth: 21/40 00:09:02 634177kN, tb=7029727 >1.Bxd2+! > +- (10.84) Depth: 22/39 00:09:45 683693kN, tb=7568689 >1.Bxd2+! > +- (11.13) Depth: 22/39 00:09:52 691043kN, tb=7790120 >1.Bxd2+! > +- (11.69) Depth: 22/39 00:09:53 692672kN, tb=7915129 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Kg4 5.Ba5 Nd7 6.Bd8 > +- (#80) Depth: 22/42 00:15:05 1096525kN, tb=12784411 >1.Bxd2+ Nf4 2.Bxf4+ Kh5 3.Bxe1 Nb6 4.Kxh8 Kg4 5.Ba5 Nd7 6.Bd8 > +- (#80) Depth: 22/42 00:15:24 1119467kN, tb=12908527 > >(Katz, Eatontown 30.12.2003) > >Brian In addition to the above analysis, if Black recpaptures on d2 with it's Queen on the Bishop checks on d2, with: 1.Bxd2+ Qxd2 2.Bxd2+ Nf4 3.Bxf4+ Kh5 4.Kxh8..., the K+B+B vs K+N endgame will be reached, with a mate in 67 to follow. The h8 Knigth will hang, resulting in the 5 piece endgame mentioned, seeing that, Fritz 8 prolongs mate by not recapturing on d2 with it's Queen. Brian
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