Mate in 11 again and again and ...

[Jouni]

[d]3qk3/8/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1
None of my current engines see mate in 11 in reasonable time. Houdini 1.5 was the best . Must we wait until 2100 for this easy position? May be Dann can give DM for all 20 moves?

[Vinvin]

Critter_1.6 (cousin of Houdini 1.5), 5 best moves after 360 billion nodes :
2 mates in 11, 3 mates in 12.

Code: Select all

Critter_1.6a_64bit:
...
 34/49	5:24:35	360 235 529 511  18 496 808	+M12	1.a4 Qe7 2.e4 Qh4 3.d4 Qxe4+ 4.Qe2 Qxe2+ 5.Nxe2 Kf7 6.a5 Kg8 7.a6 Kh7 8.a7 Kg7 9.a8Q Kg6 10.Qb7 Kh5 11.Qh7+ Kg4 12.Qh3+
 34/49	5:24:35	360 235 529 511  18 496 808	+M12	1.d4 Qd5 2.Nc3 Qh5 3.e4 Qxd1+ 4.Nxd1 Kd7 5.a4 Kc6 6.a5 Kb7 7.a6+ Ka7 8.Bf4 Kb6 9.a7 Kc6 10.a8Q+ Kd7 11.Ra7+ Ke6 12.Qc6+
 35/49	5:24:35	360 235 529 511  18 496 808	+M12	1.e3 Ke7 2.Nc3 Qg8 3.Qh5 Qf7 4.Qc5+ Kf6 5.Bc4 Qe8 6.Qc7 Kg6 7.e4 Kf6 8.d4 Qe6 9.Qd8+ Kf7 10.Qd7+ Kf8 11.Bh6+ Qxh6 12.Qf7+
 35/49	5:24:35	360 235 529 511  18 496 808	+M11	1.Nc3 Kf7 2.e4 Qd6 3.d4 Qg6 4.Qf3+ Kg7 5.Bc4 Qf6 6.Qg3+ Qg6 7.Qc7+ Kh8 8.Qe7 Qg8 9.Bxg8 Kxg8 10.Bh6 Kh8 11.Qg7+
 35/49	5:24:35	360 235 529 511  18 496 808	+M11	1.e4 Qf6 2.Qg4 Ke7 3.d4 Qxd4 4.Bg5+ Kf7 5.Nf3 Qb4+ 6.c3 Qc5 7.Bc4+ Qxc4 8.Ne5+ Kg7 9.Bh6+ Kf6 10.Bg7+ Ke7

[peter]

Critter_1.6 (cousin of Houdini 1.5), 5 best moves after 360 billion nodes :
2 mates in 11, 3 mates in 12.

Code: Select all

Critter_1.6a_64bit:
...
 34/49	5:24:35	360 235 529 511  18 496 808	+M12	1.a4 Qe7 2.e4 Qh4 3.d4 Qxe4+ 4.Qe2 Qxe2+ 5.Nxe2 Kf7 6.a5 Kg8 7.a6 Kh7 8.a7 Kg7 9.a8Q Kg6 10.Qb7 Kh5 11.Qh7+ Kg4 12.Qh3+
 34/49	5:24:35	360 235 529 511  18 496 808	+M12	1.d4 Qd5 2.Nc3 Qh5 3.e4 Qxd1+ 4.Nxd1 Kd7 5.a4 Kc6 6.a5 Kb7 7.a6+ Ka7 8.Bf4 Kb6 9.a7 Kc6 10.a8Q+ Kd7 11.Ra7+ Ke6 12.Qc6+
 35/49	5:24:35	360 235 529 511  18 496 808	+M12	1.e3 Ke7 2.Nc3 Qg8 3.Qh5 Qf7 4.Qc5+ Kf6 5.Bc4 Qe8 6.Qc7 Kg6 7.e4 Kf6 8.d4 Qe6 9.Qd8+ Kf7 10.Qd7+ Kf8 11.Bh6+ Qxh6 12.Qf7+
 35/49	5:24:35	360 235 529 511  18 496 808	+M11	1.Nc3 Kf7 2.e4 Qd6 3.d4 Qg6 4.Qf3+ Kg7 5.Bc4 Qf6 6.Qg3+ Qg6 7.Qc7+ Kh8 8.Qe7 Qg8 9.Bxg8 Kxg8 10.Bh6 Kh8 11.Qg7+
 35/49	5:24:35	360 235 529 511  18 496 808	+M11	1.e4 Qf6 2.Qg4 Ke7 3.d4 Qxd4 4.Bg5+ Kf7 5.Nf3 Qb4+ 6.c3 Qc5 7.Bc4+ Qxc4 8.Ne5+ Kg7 9.Bh6+ Kf6 10.Bg7+ Ke7

SF dev. at best 8, pity I started in Fritz- GUI, so no time and depth- output, copied after about 3+1/2 hours, depth 97/26, no node- count summed up, but it's about 32100kN/s now with 22 out of 24 threads of 12x3GHz, 32G hash. SSE4.2 only, even if that maybe doesn't matter so much with NNUE off (wouldn't be used anyhow probably), Syzygy Probe LImit 0.

3qk3/8/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1

Analysis by Stockfish 130820:

Code: Select all

1. +-  (#11): 1.Nc3 Qg5 2.e4 Kf8 3.d4 Qg6 4.Qf3+ Qf7 5.Bh6+ Ke7 6.Nd5+ Qxd5 7.exd5 Kd6 8.Bg5 Kd7 9.Qf7+ Kc8 10.Ba6+ Kb8 11.Qb7# 
2. +-  (#11): 1.e4 Kf8 2.Qg4 Qb6 3.d4 Qxd4 4.Nf3 Qc5 5.Qe6 Qb4+ 6.Nc3 Qe7 7.Bh6+ Ke8 8.Bb5+ Kd8 9.Qc6 Qd6 10.Qxd6+ Kc8 11.Ba6# 
3. +-  (#12): 1.e3 Qf6 2.Nc3 Qe6 3.Qf3 Ke7 4.Nd5+ Kd6 5.Bc4 Qd7 6.b4 Qg7 7.Bb2 Qh7 8.Be5+ Ke6 9.Qf6+ Kd7 10.Nb6+ Ke8 11.Bb5+ Qd7 12.Bxd7# 
4. +-  (#12): 1.Nf3 Kf8 2.e3 Ke7 3.Nd4 Qd5 4.Nc3 Qf7 5.Qf3 Kf8 6.Bc4 Qxf3 7.gxf3 Ke7 8.Rg1 Ke8 9.Rg7 Kd8 10.Be6 Ke8 11.Bd7+ Kf8 12.Ne6# 
5. +-  (#12): 1.a4 Qa5 2.e3 Ke7 3.Nc3 Kd7 4.Qf3 Qb6 5.Qf7+ Kd8 6.Nd5 Qc5 7.Qg8+ Kd7 8.Bb5+ Qxb5 9.axb5 Kd6 10.Qf7 Kc5 11.Qd7 Kc4 12.Qc6# 
6. +-  (#12): 1.d4 Qa5+ 2.Nc3 Qh5 3.e4 Qxd1+ 4.Nxd1 Kd8 5.h4 Kc8 6.h5 Kd7 7.h6 Kc8 8.h7 Kb7 9.h8Q Ka7 10.Rh7+ Kb6 11.Qb8+ Kc6 12.Bb5# 
7. +-  (#12): 1.d3 Kd7 2.e4 Qe7 3.Qg4+ Qe6 4.Qxe6+ Kxe6 5.a4 Kd7 6.a5 Ke7 7.a6 Kd6 8.a7 Kc5 9.a8Q Kb6 10.Be3+ Kc7 11.Ra7+ Kd6 12.Qd5# 
8. +-  (#13): 1.Nh3 Kd7 2.e3 Kc7 3.Nc3 Kb7 4.Qg4 Qe7 5.Bd3 Qf7 6.Nb5 Qe7 7.Qd4 Kc8 8.Bf5+ Kb7 9.Qa7+ Kc6 10.Nd4+ Kd6 11.Qb6+ Kd5 12.c4+ Kxc4 13.Qb5# 

To be somwhat sure about dtm- scores, Forward- Backward of at least all of the #12- lines should be made, I guess. Nh3 (nr.8) is in-1 iteration still, so it well could get a #12 yet too.

[Jouni]

I remember, that 1.e4,d4,c4 and Nc3 are all mate in 11. But I am not sure. Isn't there engine that can search mere 22 plies completely !?!?

[peter]

I remember, that 1.e4,d4,c4 and Nc3 are all mate in 11. But I am not sure. Isn't there engine that can search mere 22 plies completely !?!?

Most engines can do so, but it's a matter of hardware- time of course with any engine.
E.g. Eman does search all in a certain position possible moves in "Full Analysis Depth" (you adjust the number of plies for that presearch) and switches to single primary (or the amount of lines you define per GUI or console) automatically after this depth is reached. So it keeps hash from MultiPV for ongoing search without new command.

In Michael Byrne's SF-Forks Black Diamond, Bluefish and Honey, "Tactical"- option makes the amount of defined lines being searched in internal MultiPV- mode, giving single line output, if set so.

Most economic way to find out dtm for more than one candidate- move in a root- position, is to have a Forward- Backward of it's own for each first ply you're interested in, that keeps the hash free from entries of other first moves, so searching deeper per time for the lesser broadness.

If I find the hardware- time, I'll have a closer look at the one and the other one candidates, even if I don't see the special interest in positions like these very artificial ones without any tricky points except dtm.

[zullil]

Critter_1.6 (cousin of Houdini 1.5), 5 best moves after 360 billion nodes :
2 mates in 11, 3 mates in 12.

Code: Select all

Critter_1.6a_64bit:
...
 34/49	5:24:35	360 235 529 511  18 496 808	+M12	1.a4 Qe7 2.e4 Qh4 3.d4 Qxe4+ 4.Qe2 Qxe2+ 5.Nxe2 Kf7 6.a5 Kg8 7.a6 Kh7 8.a7 Kg7 9.a8Q Kg6 10.Qb7 Kh5 11.Qh7+ Kg4 12.Qh3+
 34/49	5:24:35	360 235 529 511  18 496 808	+M12	1.d4 Qd5 2.Nc3 Qh5 3.e4 Qxd1+ 4.Nxd1 Kd7 5.a4 Kc6 6.a5 Kb7 7.a6+ Ka7 8.Bf4 Kb6 9.a7 Kc6 10.a8Q+ Kd7 11.Ra7+ Ke6 12.Qc6+
 35/49	5:24:35	360 235 529 511  18 496 808	+M12	1.e3 Ke7 2.Nc3 Qg8 3.Qh5 Qf7 4.Qc5+ Kf6 5.Bc4 Qe8 6.Qc7 Kg6 7.e4 Kf6 8.d4 Qe6 9.Qd8+ Kf7 10.Qd7+ Kf8 11.Bh6+ Qxh6 12.Qf7+
 35/49	5:24:35	360 235 529 511  18 496 808	+M11	1.Nc3 Kf7 2.e4 Qd6 3.d4 Qg6 4.Qf3+ Kg7 5.Bc4 Qf6 6.Qg3+ Qg6 7.Qc7+ Kh8 8.Qe7 Qg8 9.Bxg8 Kxg8 10.Bh6 Kh8 11.Qg7+
 35/49	5:24:35	360 235 529 511  18 496 808	+M11	1.e4 Qf6 2.Qg4 Ke7 3.d4 Qxd4 4.Bg5+ Kf7 5.Nf3 Qb4+ 6.c3 Qc5 7.Bc4+ Qxc4 8.Ne5+ Kg7 9.Bh6+ Kf6 10.Bg7+ Ke7

SF dev. at best 8, pity I started in Fritz- GUI, so no time and depth- output, copied after about 3+1/2 hours, depth 97/26, no node- count summed up, but it's about 32100kN/s now with 22 out of 24 threads of 12x3GHz, 32G hash. SSE4.2 only, even if that maybe doesn't matter so much with NNUE off (wouldn't be used anyhow probably), Syzygy Probe LImit 0.

3qk3/8/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1

Analysis by Stockfish 130820:

Code: Select all

1. +-  (#11): 1.Nc3 Qg5 2.e4 Kf8 3.d4 Qg6 4.Qf3+ Qf7 5.Bh6+ Ke7 6.Nd5+ Qxd5 7.exd5 Kd6 8.Bg5 Kd7 9.Qf7+ Kc8 10.Ba6+ Kb8 11.Qb7# 
2. +-  (#11): 1.e4 Kf8 2.Qg4 Qb6 3.d4 Qxd4 4.Nf3 Qc5 5.Qe6 Qb4+ 6.Nc3 Qe7 7.Bh6+ Ke8 8.Bb5+ Kd8 9.Qc6 Qd6 10.Qxd6+ Kc8 11.Ba6# 
3. +-  (#12): 1.e3 Qf6 2.Nc3 Qe6 3.Qf3 Ke7 4.Nd5+ Kd6 5.Bc4 Qd7 6.b4 Qg7 7.Bb2 Qh7 8.Be5+ Ke6 9.Qf6+ Kd7 10.Nb6+ Ke8 11.Bb5+ Qd7 12.Bxd7# 
4. +-  (#12): 1.Nf3 Kf8 2.e3 Ke7 3.Nd4 Qd5 4.Nc3 Qf7 5.Qf3 Kf8 6.Bc4 Qxf3 7.gxf3 Ke7 8.Rg1 Ke8 9.Rg7 Kd8 10.Be6 Ke8 11.Bd7+ Kf8 12.Ne6# 
5. +-  (#12): 1.a4 Qa5 2.e3 Ke7 3.Nc3 Kd7 4.Qf3 Qb6 5.Qf7+ Kd8 6.Nd5 Qc5 7.Qg8+ Kd7 8.Bb5+ Qxb5 9.axb5 Kd6 10.Qf7 Kc5 11.Qd7 Kc4 12.Qc6# 
6. +-  (#12): 1.d4 Qa5+ 2.Nc3 Qh5 3.e4 Qxd1+ 4.Nxd1 Kd8 5.h4 Kc8 6.h5 Kd7 7.h6 Kc8 8.h7 Kb7 9.h8Q Ka7 10.Rh7+ Kb6 11.Qb8+ Kc6 12.Bb5# 
7. +-  (#12): 1.d3 Kd7 2.e4 Qe7 3.Qg4+ Qe6 4.Qxe6+ Kxe6 5.a4 Kd7 6.a5 Ke7 7.a6 Kd6 8.a7 Kc5 9.a8Q Kb6 10.Be3+ Kc7 11.Ra7+ Kd6 12.Qd5# 
8. +-  (#13): 1.Nh3 Kd7 2.e3 Kc7 3.Nc3 Kb7 4.Qg4 Qe7 5.Bd3 Qf7 6.Nb5 Qe7 7.Qd4 Kc8 8.Bf5+ Kb7 9.Qa7+ Kc6 10.Nd4+ Kd6 11.Qb6+ Kd5 12.c4+ Kxc4 13.Qb5# 

To be somwhat sure about dtm- scores, Forward- Backward of at least all of the #12- lines should be made, I guess. Nh3 (nr.8) is in-1 iteration still, so it well could get a #12 yet too.

Here's what Cfish-dev (MultiPV=6) currently shows. Seems consistent with what's shown above. I'll let this run a bit more...

info depth 113 seldepth 22 multipv 1 score mate 11 nodes 479229030333 nps 84287362 hashfull 1000 tbhits 0 time 5685657 pv e2e4 d8e7 d1g4 e8f7 f1c4 f7e8 g4c8 e7d8 c4f7 e8e7 c8e6 e7f8 d2d4 d8a5 c2c3 f8g7 c1h6 g7h7 e6g6 h7h8 h6g7
info depth 113 seldepth 22 multipv 2 score mate 11 nodes 479229030333 nps 84287362 hashfull 1000 tbhits 0 time 5685657 pv b1c3 d8d7 e2e4 d7e6 d1h5 e6f7 h5h6 f7f8 h6c6 e8f7 f1c4 f7g7 d2d4 g7h8 c6a6 f8g7 a6c8 g7f8 c8f8 h8h7 f8g8
info depth 113 seldepth 24 multipv 3 score mate 12 nodes 479229030333 nps 84287362 hashfull 1000 tbhits 0 time 5685657 pv d2d4 d8a5 b1c3 a5h5 e2e4 h5d1 c3d1 e8d7 a2a4 d7c6 a4a5 c6b7 a5a6 b7a7 c1f4 a7b6 a6a7 b6c6 a7a8q c6d7 a1a7 d7e6 a8c6
info depth 113 seldepth 24 multipv 4 score mate 12 nodes 479229030333 nps 84287362 hashfull 1000 tbhits 0 time 5685657 pv a2a4 d8a5 e2e4 a5g5 d1f3 g5g6 b1c3 g6e6 f1b5 e8d8 c3d5 d8c8 f3c3 c8b8 c3c7 b8a8 b5c6 e6c6 c7c6 a8a7 c6b6 a7a8 d5c7
info depth 113 seldepth 24 multipv 5 score mate 12 nodes 479229030333 nps 84287362 hashfull 1000 tbhits 0 time 5685657 pv e2e3 d8g5 a2a4 e8d7 a4a5 g5c5 b1c3 c5f5 a5a6 f5f8 a6a7 d7d6 d1h5 f8c8 a7a8q c8a8 a1a8 d6c6 a8a7 c6b6 h5a5 b6c6 a5c7
info depth 113 seldepth 24 multipv 6 score mate 12 nodes 479229030333 nps 84287362 hashfull 1000 tbhits 0 time 5685657 pv g1f3 d8a5 b1c3 e8d7 e2e4 a5h5 d1e2 h5a5 c3d5 d7e6 f3d4 e6d6 e2g4 a5d5 e4d5 d6c7 g4e6 c7b7 e6e7 b7b6 a2a3 b6a5 e7b4

[Ajedrecista]

Hello Jouni:

I remember, that 1.e4,d4,c4 and Nc3 are all mate in 11. But I am not sure. Isn't there engine that can search mere 22 plies completely !?!?

I would say 21 plies: 11 plies for white and 10 plies for black. Once white mates in 11, black can not move.

'Completely' means brute force here? I ran a Monte Carlo perft estimate using the old GNU 5.50 and I stopped it after 200 output lines of calculations:

Code: Select all

perftmc 21
m=1.897259e+029 sd=3.436240e+026 ci(99%)=[1.888407e+029,1.906110e+029] n=6725182 sdn=8.911187e+029 t=51.48s
m=1.890422e+029 sd=7.119056e+026 ci(99%)=[1.872083e+029,1.908760e+029] n=10087940 sdn=2.261120e+030 t=76.81s
m=1.891662e+029 sd=5.184515e+026 ci(99%)=[1.878307e+029,1.905017e+029] n=13450673 sdn=1.901429e+030 t=103.14s
m=1.892054e+029 sd=4.034988e+026 ci(99%)=[1.881660e+029,1.902448e+029] n=16813206 sdn=1.654503e+030 t=128.42s
m=1.888167e+029 sd=5.095342e+026 ci(99%)=[1.875041e+029,1.901293e+029] n=20176160 sdn=2.288719e+030 t=154.97s
m=1.888141e+029 sd=4.306427e+026 ci(99%)=[1.877048e+029,1.899235e+029] n=23539350 sdn=2.089365e+030 t=180.25s
m=1.888985e+029 sd=3.823752e+026 ci(99%)=[1.879135e+029,1.898835e+029] n=26902434 sdn=1.983287e+030 t=206.41s
m=1.891828e+029 sd=4.410848e+026 ci(99%)=[1.880466e+029,1.903191e+029] n=30265647 sdn=2.426594e+030 t=231.77s
m=1.890262e+029 sd=4.244861e+026 ci(99%)=[1.879327e+029,1.901196e+029] n=33628651 sdn=2.461604e+030 t=257.23s
m=1.888835e+029 sd=4.096215e+026 ci(99%)=[1.878283e+029,1.899386e+029] n=36991677 sdn=2.491350e+030 t=282.70s
m=1.888523e+029 sd=3.752242e+026 ci(99%)=[1.878858e+029,1.898189e+029] n=40354395 sdn=2.383616e+030 t=308.38s
m=1.887769e+029 sd=3.532991e+026 ci(99%)=[1.878668e+029,1.896870e+029] n=43717252 sdn=2.335979e+030 t=334.02s
m=1.887711e+029 sd=3.271437e+026 ci(99%)=[1.879284e+029,1.896138e+029] n=47080294 sdn=2.244699e+030 t=359.75s
m=1.888531e+029 sd=3.153950e+026 ci(99%)=[1.880406e+029,1.896655e+029] n=50443383 sdn=2.240046e+030 t=386.33s
m=1.889349e+029 sd=3.061627e+026 ci(99%)=[1.881462e+029,1.897236e+029] n=53805870 sdn=2.245779e+030 t=416.19s
m=1.889456e+029 sd=2.877898e+026 ci(99%)=[1.882043e+029,1.896870e+029] n=57168872 sdn=2.175981e+030 t=445.98s
m=1.890416e+029 sd=2.878049e+026 ci(99%)=[1.883002e+029,1.897830e+029] n=60531593 sdn=2.239181e+030 t=484.64s
m=1.890257e+029 sd=2.727022e+026 ci(99%)=[1.883232e+029,1.897281e+029] n=63894393 sdn=2.179817e+030 t=526.41s
m=1.890396e+029 sd=2.590859e+026 ci(99%)=[1.883722e+029,1.897070e+029] n=67257148 sdn=2.124776e+030 t=564.02s
m=1.890712e+029 sd=2.484555e+026 ci(99%)=[1.884312e+029,1.897112e+029] n=70620379 sdn=2.087919e+030 t=603.02s
m=1.891355e+029 sd=2.454641e+026 ci(99%)=[1.885032e+029,1.897678e+029] n=73983194 sdn=2.111322e+030 t=641.61s
m=1.891288e+029 sd=2.346445e+026 ci(99%)=[1.885244e+029,1.897333e+029] n=77346519 sdn=2.063625e+030 t=682.17s
m=1.892303e+029 sd=2.465020e+026 ci(99%)=[1.885953e+029,1.898653e+029] n=80709479 sdn=2.214536e+030 t=723.02s
m=1.892882e+029 sd=2.434162e+026 ci(99%)=[1.886611e+029,1.899152e+029] n=84071984 sdn=2.231902e+030 t=764.31s
m=1.893188e+029 sd=2.358658e+026 ci(99%)=[1.887112e+029,1.899264e+029] n=87435082 sdn=2.205504e+030 t=807.56s
m=1.893298e+029 sd=2.272261e+026 ci(99%)=[1.887444e+029,1.899151e+029] n=90797923 sdn=2.165191e+030 t=854.67s
m=1.893062e+029 sd=2.202289e+026 ci(99%)=[1.887388e+029,1.898735e+029] n=94160772 sdn=2.137023e+030 t=896.56s
m=1.893191e+029 sd=2.128930e+026 ci(99%)=[1.887707e+029,1.898675e+029] n=97523930 sdn=2.102408e+030 t=939.30s
m=1.893473e+029 sd=2.075968e+026 ci(99%)=[1.888125e+029,1.898821e+029] n=100886713 sdn=2.085152e+030 t=978.20s
m=1.893560e+029 sd=2.009765e+026 ci(99%)=[1.888383e+029,1.898737e+029] n=104249638 sdn=2.052025e+030 t=1018.45s
m=1.893436e+029 sd=1.949861e+026 ci(99%)=[1.888413e+029,1.898459e+029] n=107612418 sdn=2.022715e+030 t=1059.89s
m=1.893871e+029 sd=1.939094e+026 ci(99%)=[1.888875e+029,1.898866e+029] n=110975566 sdn=2.042737e+030 t=1107.33s
m=1.894079e+029 sd=1.892681e+026 ci(99%)=[1.889203e+029,1.898954e+029] n=114338657 sdn=2.023830e+030 t=1147.67s
m=1.894586e+029 sd=1.906407e+026 ci(99%)=[1.889675e+029,1.899496e+029] n=117701484 sdn=2.068267e+030 t=1186.75s
m=1.895588e+029 sd=2.106500e+026 ci(99%)=[1.890162e+029,1.901014e+029] n=121064695 sdn=2.317769e+030 t=1226.38s
m=1.895934e+029 sd=2.077849e+026 ci(99%)=[1.890582e+029,1.901287e+029] n=124427911 sdn=2.317783e+030 t=1266.91s
m=1.896513e+029 sd=2.103591e+026 ci(99%)=[1.891094e+029,1.901932e+029] n=127791053 sdn=2.377999e+030 t=1310.66s
m=1.896065e+029 sd=2.097446e+026 ci(99%)=[1.890662e+029,1.901468e+029] n=131153877 sdn=2.402046e+030 t=1354.98s
m=1.895982e+029 sd=2.046023e+026 ci(99%)=[1.890711e+029,1.901252e+029] n=134516896 sdn=2.373006e+030 t=1398.09s
m=1.895984e+029 sd=1.995498e+026 ci(99%)=[1.890844e+029,1.901125e+029] n=137879444 sdn=2.343155e+030 t=1441.42s
m=1.895337e+029 sd=2.052149e+026 ci(99%)=[1.890051e+029,1.900623e+029] n=141242386 sdn=2.438886e+030 t=1486.36s
m=1.895866e+029 sd=2.072502e+026 ci(99%)=[1.890527e+029,1.901205e+029] n=144605332 sdn=2.492224e+030 t=1534.45s
m=1.895362e+029 sd=2.086668e+026 ci(99%)=[1.889987e+029,1.900737e+029] n=147968105 sdn=2.538267e+030 t=1584.83s
m=1.895601e+029 sd=2.053699e+026 ci(99%)=[1.890310e+029,1.900891e+029] n=151330881 sdn=2.526391e+030 t=1632.52s
m=1.895375e+029 sd=2.021145e+026 ci(99%)=[1.890169e+029,1.900582e+029] n=154693710 sdn=2.513818e+030 t=1679.59s
m=1.895987e+029 sd=2.070063e+026 ci(99%)=[1.890654e+029,1.901319e+029] n=158056500 sdn=2.602494e+030 t=1727.67s
m=1.895770e+029 sd=2.038039e+026 ci(99%)=[1.890520e+029,1.901020e+029] n=161419689 sdn=2.589350e+030 t=1778.23s
m=1.895590e+029 sd=2.004129e+026 ci(99%)=[1.890427e+029,1.900753e+029] n=164782037 sdn=2.572650e+030 t=1825.47s
m=1.896160e+029 sd=2.044627e+026 ci(99%)=[1.890893e+029,1.901427e+029] n=168144976 sdn=2.651283e+030 t=1873.73s
m=1.896207e+029 sd=2.004691e+026 ci(99%)=[1.891043e+029,1.901371e+029] n=171507936 sdn=2.625364e+030 t=1920.56s
m=1.896023e+029 sd=1.974343e+026 ci(99%)=[1.890937e+029,1.901109e+029] n=174870577 sdn=2.610844e+030 t=1966.67s
m=1.895739e+029 sd=1.957468e+026 ci(99%)=[1.890696e+029,1.900781e+029] n=178233916 sdn=2.613303e+030 t=2013.88s
m=1.895800e+029 sd=1.921833e+026 ci(99%)=[1.890849e+029,1.900750e+029] n=181597081 sdn=2.589823e+030 t=2061.23s
m=1.895997e+029 sd=1.896848e+026 ci(99%)=[1.891110e+029,1.900883e+029] n=184959588 sdn=2.579710e+030 t=2099.28s
m=1.895782e+029 sd=1.875033e+026 ci(99%)=[1.890952e+029,1.900612e+029] n=188322470 sdn=2.573120e+030 t=2138.59s
m=1.895702e+029 sd=1.843551e+026 ci(99%)=[1.890953e+029,1.900451e+029] n=191685164 sdn=2.552405e+030 t=2176.56s
m=1.895530e+029 sd=1.819678e+026 ci(99%)=[1.890842e+029,1.900217e+029] n=195048053 sdn=2.541356e+030 t=2211.25s
m=1.895777e+029 sd=1.805502e+026 ci(99%)=[1.891126e+029,1.900428e+029] n=198410855 sdn=2.543201e+030 t=2246.20s
m=1.895807e+029 sd=1.775418e+026 ci(99%)=[1.891234e+029,1.900381e+029] n=201773660 sdn=2.521929e+030 t=2278.73s
m=1.896033e+029 sd=1.760629e+026 ci(99%)=[1.891498e+029,1.900569e+029] n=205136366 sdn=2.521675e+030 t=2317.73s
m=1.896030e+029 sd=1.732003e+026 ci(99%)=[1.891568e+029,1.900491e+029] n=208499286 sdn=2.500926e+030 t=2358.30s
m=1.895713e+029 sd=1.733522e+026 ci(99%)=[1.891247e+029,1.900178e+029] n=211862173 sdn=2.523225e+030 t=2402.55s
m=1.895924e+029 sd=1.719282e+026 ci(99%)=[1.891495e+029,1.900353e+029] n=215224892 sdn=2.522280e+030 t=2440.56s
m=1.896091e+029 sd=1.700885e+026 ci(99%)=[1.891710e+029,1.900473e+029] n=218587453 sdn=2.514708e+030 t=2483.08s
m=1.896037e+029 sd=1.675786e+026 ci(99%)=[1.891721e+029,1.900354e+029] n=221950360 sdn=2.496586e+030 t=2527.92s
m=1.895857e+029 sd=1.660381e+026 ci(99%)=[1.891580e+029,1.900135e+029] n=225313286 sdn=2.492305e+030 t=2567.59s
m=1.895616e+029 sd=1.653504e+026 ci(99%)=[1.891357e+029,1.899875e+029] n=228676420 sdn=2.500438e+030 t=2607.97s
m=1.895704e+029 sd=1.631741e+026 ci(99%)=[1.891501e+029,1.899907e+029] n=232038920 sdn=2.485603e+030 t=2643.41s
m=1.895509e+029 sd=1.620081e+026 ci(99%)=[1.891335e+029,1.899682e+029] n=235401810 sdn=2.485659e+030 t=2683.42s
m=1.895494e+029 sd=1.597168e+026 ci(99%)=[1.891380e+029,1.899608e+029] n=238764450 sdn=2.467944e+030 t=2723.02s
m=1.895478e+029 sd=1.574907e+026 ci(99%)=[1.891421e+029,1.899535e+029] n=242126873 sdn=2.450623e+030 t=2761.66s
m=1.895793e+029 sd=1.584807e+026 ci(99%)=[1.891711e+029,1.899876e+029] n=245489629 sdn=2.483093e+030 t=2801.41s
m=1.895685e+029 sd=1.567011e+026 ci(99%)=[1.891648e+029,1.899721e+029] n=248852509 sdn=2.471970e+030 t=2842.17s
m=1.895796e+029 sd=1.550004e+026 ci(99%)=[1.891803e+029,1.899789e+029] n=252215204 sdn=2.461605e+030 t=2875.11s
m=1.895916e+029 sd=1.534125e+026 ci(99%)=[1.891964e+029,1.899868e+029] n=255577882 sdn=2.452575e+030 t=2910.23s
m=1.895770e+029 sd=1.521104e+026 ci(99%)=[1.891851e+029,1.899688e+029] n=258940582 sdn=2.447705e+030 t=2948.19s
m=1.895375e+029 sd=1.552342e+026 ci(99%)=[1.891377e+029,1.899374e+029] n=262303126 sdn=2.514139e+030 t=2988.20s
m=1.895250e+029 sd=1.537669e+026 ci(99%)=[1.891289e+029,1.899211e+029] n=265666197 sdn=2.506287e+030 t=3026.95s
m=1.895215e+029 sd=1.518746e+026 ci(99%)=[1.891302e+029,1.899127e+029] n=269028774 sdn=2.491061e+030 t=3066.64s
m=1.895117e+029 sd=1.503043e+026 ci(99%)=[1.891245e+029,1.898989e+029] n=272391359 sdn=2.480665e+030 t=3112.11s
m=1.895094e+029 sd=1.484773e+026 ci(99%)=[1.891270e+029,1.898919e+029] n=275753984 sdn=2.465591e+030 t=3154.48s
m=1.895013e+029 sd=1.469037e+026 ci(99%)=[1.891229e+029,1.898797e+029] n=279116901 sdn=2.454289e+030 t=3191.98s
m=1.895046e+029 sd=1.451811e+026 ci(99%)=[1.891306e+029,1.898785e+029] n=282479876 sdn=2.440078e+030 t=3224.53s
m=1.894983e+029 sd=1.435995e+026 ci(99%)=[1.891284e+029,1.898682e+029] n=285842499 sdn=2.427819e+030 t=3261.52s
m=1.895131e+029 sd=1.426906e+026 ci(99%)=[1.891455e+029,1.898807e+029] n=289205160 sdn=2.426602e+030 t=3300.14s
m=1.894948e+029 sd=1.422290e+026 ci(99%)=[1.891284e+029,1.898611e+029] n=292568038 sdn=2.432773e+030 t=3338.84s
m=1.895001e+029 sd=1.407062e+026 ci(99%)=[1.891377e+029,1.898626e+029] n=295930767 sdn=2.420519e+030 t=3379.77s
m=1.895347e+029 sd=1.433538e+026 ci(99%)=[1.891655e+029,1.899040e+029] n=299293839 sdn=2.480037e+030 t=3425.36s
m=1.895338e+029 sd=1.417549e+026 ci(99%)=[1.891687e+029,1.898990e+029] n=302656594 sdn=2.466113e+030 t=3466.33s
m=1.895205e+029 sd=1.408172e+026 ci(99%)=[1.891578e+029,1.898833e+029] n=306019816 sdn=2.463375e+030 t=3509.11s
m=1.895051e+029 sd=1.401323e+026 ci(99%)=[1.891441e+029,1.898661e+029] n=309382712 sdn=2.464826e+030 t=3549.39s
m=1.895153e+029 sd=1.389907e+026 ci(99%)=[1.891572e+029,1.898733e+029] n=312745476 sdn=2.457996e+030 t=3590.94s
m=1.895329e+029 sd=1.386239e+026 ci(99%)=[1.891758e+029,1.898900e+029] n=316108069 sdn=2.464653e+030 t=3638.25s
m=1.895278e+029 sd=1.372499e+026 ci(99%)=[1.891743e+029,1.898814e+029] n=319470792 sdn=2.453170e+030 t=3677.42s
m=1.895314e+029 sd=1.358605e+026 ci(99%)=[1.891814e+029,1.898814e+029] n=322833555 sdn=2.441083e+030 t=3716.69s
m=1.895448e+029 sd=1.351185e+026 ci(99%)=[1.891967e+029,1.898929e+029] n=326196541 sdn=2.440364e+030 t=3753.61s
m=1.895355e+029 sd=1.340595e+026 ci(99%)=[1.891901e+029,1.898808e+029] n=329559382 sdn=2.433685e+030 t=3790.72s
m=1.895475e+029 sd=1.332452e+026 ci(99%)=[1.892043e+029,1.898908e+029] n=332922959 sdn=2.431215e+030 t=3830.13s
m=1.895528e+029 sd=1.320108e+026 ci(99%)=[1.892127e+029,1.898928e+029] n=336285783 sdn=2.420827e+030 t=3869.69s
m=1.895518e+029 sd=1.307011e+026 ci(99%)=[1.892151e+029,1.898885e+029] n=339648657 sdn=2.408764e+030 t=3916.22s
m=1.895484e+029 sd=1.294561e+026 ci(99%)=[1.892150e+029,1.898819e+029] n=343011483 sdn=2.397601e+030 t=3957.67s
m=1.895407e+029 sd=1.284252e+026 ci(99%)=[1.892099e+029,1.898715e+029] n=346374196 sdn=2.390139e+030 t=3998.16s
m=1.895463e+029 sd=1.273055e+026 ci(99%)=[1.892183e+029,1.898742e+029] n=349737055 sdn=2.380772e+030 t=4037.66s
m=1.895588e+029 sd=1.267113e+026 ci(99%)=[1.892324e+029,1.898852e+029] n=353099753 sdn=2.381026e+030 t=4081.09s
m=1.895514e+029 sd=1.257307e+026 ci(99%)=[1.892275e+029,1.898753e+029] n=356462809 sdn=2.373823e+030 t=4121.63s
m=1.895510e+029 sd=1.245507e+026 ci(99%)=[1.892302e+029,1.898718e+029] n=359825800 sdn=2.362611e+030 t=4162.52s
m=1.895407e+029 sd=1.238225e+026 ci(99%)=[1.892217e+029,1.898597e+029] n=363188833 sdn=2.359750e+030 t=4206.00s
m=1.895598e+029 sd=1.241607e+026 ci(99%)=[1.892400e+029,1.898796e+029] n=366552022 sdn=2.377124e+030 t=4250.16s
m=1.895491e+029 sd=1.234897e+026 ci(99%)=[1.892310e+029,1.898672e+029] n=369914963 sdn=2.375099e+030 t=4297.28s
m=1.895702e+029 sd=1.241716e+026 ci(99%)=[1.892503e+029,1.898900e+029] n=373278080 sdn=2.399045e+030 t=4338.39s
m=1.895630e+029 sd=1.232679e+026 ci(99%)=[1.892454e+029,1.898805e+029] n=376640717 sdn=2.392290e+030 t=4381.75s
m=1.895597e+029 sd=1.222154e+026 ci(99%)=[1.892449e+029,1.898746e+029] n=380003281 sdn=2.382426e+030 t=4430.16s
m=1.895728e+029 sd=1.218352e+026 ci(99%)=[1.892589e+029,1.898866e+029] n=383366128 sdn=2.385502e+030 t=4478.42s
m=1.895913e+029 sd=1.221936e+026 ci(99%)=[1.892766e+029,1.899061e+029] n=386728691 sdn=2.402989e+030 t=4530.25s
m=1.895900e+029 sd=1.211430e+026 ci(99%)=[1.892779e+029,1.899021e+029] n=390091356 sdn=2.392662e+030 t=4577.92s
m=1.895748e+029 sd=1.210652e+026 ci(99%)=[1.892629e+029,1.898866e+029] n=393454390 sdn=2.401412e+030 t=4627.55s
m=1.895679e+029 sd=1.202345e+026 ci(99%)=[1.892581e+029,1.898776e+029] n=396817273 sdn=2.395104e+030 t=4677.95s
m=1.895784e+029 sd=1.196883e+026 ci(99%)=[1.892701e+029,1.898867e+029] n=400179927 sdn=2.394305e+030 t=4730.06s
m=1.895803e+029 sd=1.187013e+026 ci(99%)=[1.892745e+029,1.898861e+029] n=403543170 sdn=2.384517e+030 t=4775.95s
m=1.895838e+029 sd=1.177695e+026 ci(99%)=[1.892805e+029,1.898872e+029] n=406905684 sdn=2.375635e+030 t=4822.09s
m=1.895855e+029 sd=1.168124e+026 ci(99%)=[1.892846e+029,1.898864e+029] n=410267939 sdn=2.366043e+030 t=4866.64s
m=1.895824e+029 sd=1.158998e+026 ci(99%)=[1.892839e+029,1.898810e+029] n=413631221 sdn=2.357161e+030 t=4917.47s
m=1.895823e+029 sd=1.149614e+026 ci(99%)=[1.892861e+029,1.898784e+029] n=416994079 sdn=2.347562e+030 t=4968.11s
m=1.895932e+029 sd=1.145633e+026 ci(99%)=[1.892981e+029,1.898883e+029] n=420357171 sdn=2.348847e+030 t=5018.91s
m=1.896006e+029 sd=1.138909e+026 ci(99%)=[1.893072e+029,1.898940e+029] n=423720016 sdn=2.344384e+030 t=5066.50s
m=1.895983e+029 sd=1.130151e+026 ci(99%)=[1.893071e+029,1.898894e+029] n=427083346 sdn=2.335570e+030 t=5116.05s
m=1.895956e+029 sd=1.121608e+026 ci(99%)=[1.893067e+029,1.898845e+029] n=430446544 sdn=2.327023e+030 t=5161.44s
m=1.896096e+029 sd=1.121659e+026 ci(99%)=[1.893207e+029,1.898985e+029] n=433809550 sdn=2.336202e+030 t=5207.94s
m=1.896229e+029 sd=1.120875e+026 ci(99%)=[1.893341e+029,1.899116e+029] n=437172315 sdn=2.343601e+030 t=5256.92s
m=1.896317e+029 sd=1.115799e+026 ci(99%)=[1.893443e+029,1.899191e+029] n=440535269 sdn=2.341942e+030 t=5305.52s
m=1.896231e+029 sd=1.110635e+026 ci(99%)=[1.893370e+029,1.899092e+029] n=443897789 sdn=2.339984e+030 t=5347.09s
m=1.896254e+029 sd=1.102478e+026 ci(99%)=[1.893414e+029,1.899094e+029] n=447260573 sdn=2.331581e+030 t=5389.34s
m=1.896267e+029 sd=1.094300e+026 ci(99%)=[1.893448e+029,1.899086e+029] n=450623290 sdn=2.322967e+030 t=5437.95s
m=1.896309e+029 sd=1.086988e+026 ci(99%)=[1.893509e+029,1.899109e+029] n=453985800 sdn=2.316039e+030 t=5483.09s
m=1.896360e+029 sd=1.080154e+026 ci(99%)=[1.893577e+029,1.899142e+029] n=457348243 sdn=2.309984e+030 t=5526.48s
m=1.896197e+029 sd=1.084492e+026 ci(99%)=[1.893404e+029,1.898991e+029] n=460710933 sdn=2.327773e+030 t=5564.19s
m=1.895940e+029 sd=1.106962e+026 ci(99%)=[1.893088e+029,1.898791e+029] n=464073909 sdn=2.384659e+030 t=5601.97s
m=1.895731e+029 sd=1.118576e+026 ci(99%)=[1.892850e+029,1.898613e+029] n=467436674 sdn=2.418393e+030 t=5644.39s
m=1.895925e+029 sd=1.127333e+026 ci(99%)=[1.893021e+029,1.898829e+029] n=470799284 sdn=2.446077e+030 t=5689.91s
m=1.895982e+029 sd=1.120743e+026 ci(99%)=[1.893095e+029,1.898869e+029] n=474162371 sdn=2.440449e+030 t=5734.64s
m=1.895883e+029 sd=1.117206e+026 ci(99%)=[1.893005e+029,1.898761e+029] n=477525249 sdn=2.441359e+030 t=5773.20s
m=1.896031e+029 sd=1.119243e+026 ci(99%)=[1.893148e+029,1.898914e+029] n=480887968 sdn=2.454406e+030 t=5812.88s
m=1.896001e+029 sd=1.111850e+026 ci(99%)=[1.893137e+029,1.898865e+029] n=484251063 sdn=2.446705e+030 t=5852.47s
m=1.895961e+029 sd=1.104889e+026 ci(99%)=[1.893115e+029,1.898807e+029] n=487613976 sdn=2.439813e+030 t=5892.33s
m=1.896070e+029 sd=1.102671e+026 ci(99%)=[1.893229e+029,1.898910e+029] n=490977295 sdn=2.443299e+030 t=5938.61s
m=1.896184e+029 sd=1.101144e+026 ci(99%)=[1.893348e+029,1.899021e+029] n=494340016 sdn=2.448258e+030 t=5983.17s
m=1.896155e+029 sd=1.094087e+026 ci(99%)=[1.893336e+029,1.898973e+029] n=497702854 sdn=2.440826e+030 t=6030.48s
m=1.896034e+029 sd=1.093390e+026 ci(99%)=[1.893217e+029,1.898850e+029] n=501065190 sdn=2.447498e+030 t=6078.91s
m=1.895944e+029 sd=1.089807e+026 ci(99%)=[1.893136e+029,1.898751e+029] n=504428014 sdn=2.447650e+030 t=6128.66s
m=1.895793e+029 sd=1.093035e+026 ci(99%)=[1.892977e+029,1.898609e+029] n=507790982 sdn=2.463069e+030 t=6176.02s
m=1.895696e+029 sd=1.090170e+026 ci(99%)=[1.892887e+029,1.898504e+029] n=511154189 sdn=2.464735e+030 t=6222.61s
m=1.895743e+029 sd=1.084073e+026 ci(99%)=[1.892951e+029,1.898536e+029] n=514517044 sdn=2.459000e+030 t=6264.53s
m=1.895688e+029 sd=1.078413e+026 ci(99%)=[1.892910e+029,1.898466e+029] n=517879822 sdn=2.454141e+030 t=6301.92s
m=1.895695e+029 sd=1.071455e+026 ci(99%)=[1.892935e+029,1.898455e+029] n=521242606 sdn=2.446211e+030 t=6341.23s
m=1.895750e+029 sd=1.065983e+026 ci(99%)=[1.893004e+029,1.898496e+029] n=524605280 sdn=2.441556e+030 t=6378.88s
m=1.895670e+029 sd=1.062186e+026 ci(99%)=[1.892934e+029,1.898407e+029] n=527968241 sdn=2.440645e+030 t=6419.02s
m=1.895711e+029 sd=1.056211e+026 ci(99%)=[1.892990e+029,1.898431e+029] n=531331366 sdn=2.434632e+030 t=6463.66s
m=1.895634e+029 sd=1.052334e+026 ci(99%)=[1.892923e+029,1.898345e+029] n=534694042 sdn=2.433360e+030 t=6512.38s
m=1.895816e+029 sd=1.061429e+026 ci(99%)=[1.893082e+029,1.898550e+029] n=538056795 sdn=2.462095e+030 t=6558.64s
m=1.895741e+029 sd=1.057495e+026 ci(99%)=[1.893017e+029,1.898465e+029] n=541419474 sdn=2.460625e+030 t=6604.63s
m=1.895709e+029 sd=1.051435e+026 ci(99%)=[1.893000e+029,1.898417e+029] n=544782532 sdn=2.454110e+030 t=6650.83s
m=1.895675e+029 sd=1.045498e+026 ci(99%)=[1.892982e+029,1.898368e+029] n=548145776 sdn=2.447774e+030 t=6697.27s
m=1.895607e+029 sd=1.041366e+026 ci(99%)=[1.892924e+029,1.898289e+029] n=551508740 sdn=2.445566e+030 t=6743.05s
m=1.895564e+029 sd=1.035897e+026 ci(99%)=[1.892896e+029,1.898233e+029] n=554871419 sdn=2.440128e+030 t=6782.45s
m=1.895580e+029 sd=1.029749e+026 ci(99%)=[1.892927e+029,1.898232e+029] n=558234677 sdn=2.432988e+030 t=6822.97s
m=1.895568e+029 sd=1.023630e+026 ci(99%)=[1.892931e+029,1.898205e+029] n=561597738 sdn=2.425803e+030 t=6860.94s
m=1.895536e+029 sd=1.018026e+026 ci(99%)=[1.892913e+029,1.898158e+029] n=564960309 sdn=2.419735e+030 t=6900.88s
m=1.895586e+029 sd=1.013230e+026 ci(99%)=[1.892976e+029,1.898196e+029] n=568323049 sdn=2.415493e+030 t=6946.78s
m=1.895535e+029 sd=1.008569e+026 ci(99%)=[1.892937e+029,1.898133e+029] n=571685859 sdn=2.411483e+030 t=6991.48s
m=1.895473e+029 sd=1.004555e+026 ci(99%)=[1.892885e+029,1.898061e+029] n=575048554 sdn=2.408939e+030 t=7039.94s
m=1.895431e+029 sd=9.995657e+025 ci(99%)=[1.892856e+029,1.898006e+029] n=578411134 sdn=2.403973e+030 t=7087.78s
m=1.895431e+029 sd=9.937710e+025 ci(99%)=[1.892871e+029,1.897991e+029] n=581774045 sdn=2.396975e+030 t=7135.44s
m=1.895353e+029 sd=9.911736e+025 ci(99%)=[1.892799e+029,1.897906e+029] n=585136889 sdn=2.397610e+030 t=7186.31s
m=1.895240e+029 sd=9.919315e+025 ci(99%)=[1.892685e+029,1.897795e+029] n=588499599 sdn=2.406328e+030 t=7237.09s
m=1.895248e+029 sd=9.863179e+025 ci(99%)=[1.892708e+029,1.897789e+029] n=591862808 sdn=2.399537e+030 t=7288.66s
m=1.895203e+029 sd=9.817839e+025 ci(99%)=[1.892674e+029,1.897732e+029] n=595225917 sdn=2.395283e+030 t=7334.84s
m=1.895312e+029 sd=9.823204e+025 ci(99%)=[1.892782e+029,1.897842e+029] n=598589010 sdn=2.403353e+030 t=7382.36s
m=1.895432e+029 sd=9.841676e+025 ci(99%)=[1.892897e+029,1.897967e+029] n=601951564 sdn=2.414626e+030 t=7431.84s
m=1.895455e+029 sd=9.789627e+025 ci(99%)=[1.892934e+029,1.897977e+029] n=605314894 sdn=2.408556e+030 t=7479.31s
m=1.895387e+029 sd=9.759645e+025 ci(99%)=[1.892873e+029,1.897901e+029] n=608677628 sdn=2.407840e+030 t=7525.17s
m=1.895368e+029 sd=9.707657e+025 ci(99%)=[1.892867e+029,1.897869e+029] n=612040402 sdn=2.401621e+030 t=7568.47s
m=1.895396e+029 sd=9.658499e+025 ci(99%)=[1.892908e+029,1.897884e+029] n=615403359 sdn=2.396015e+030 t=7618.97s
m=1.895289e+029 sd=9.665021e+025 ci(99%)=[1.892799e+029,1.897779e+029] n=618765848 sdn=2.404174e+030 t=7665.77s
m=1.895254e+029 sd=9.619156e+025 ci(99%)=[1.892776e+029,1.897732e+029] n=622128422 sdn=2.399258e+030 t=7714.97s
m=1.895201e+029 sd=9.582098e+025 ci(99%)=[1.892732e+029,1.897669e+029] n=625491871 sdn=2.396467e+030 t=7762.36s
m=1.895221e+029 sd=9.532966e+025 ci(99%)=[1.892766e+029,1.897677e+029] n=628854342 sdn=2.390579e+030 t=7807.56s
m=1.895167e+029 sd=9.497437e+025 ci(99%)=[1.892721e+029,1.897614e+029] n=632217061 sdn=2.388029e+030 t=7853.98s
m=1.895271e+029 sd=9.503321e+025 ci(99%)=[1.892823e+029,1.897719e+029] n=635579978 sdn=2.395855e+030 t=7902.72s
m=1.895168e+029 sd=9.508509e+025 ci(99%)=[1.892719e+029,1.897618e+029] n=638942864 sdn=2.403496e+030 t=7950.36s
m=1.895204e+029 sd=9.465460e+025 ci(99%)=[1.892766e+029,1.897642e+029] n=642305398 sdn=2.398902e+030 t=7997.56s
m=1.895243e+029 sd=9.424068e+025 ci(99%)=[1.892815e+029,1.897671e+029] n=645668343 sdn=2.394656e+030 t=8045.88s
m=1.895301e+029 sd=9.393239e+025 ci(99%)=[1.892882e+029,1.897721e+029] n=649031182 sdn=2.393030e+030 t=8095.23s
m=1.895269e+029 sd=9.350350e+025 ci(99%)=[1.892860e+029,1.897678e+029] n=652393690 sdn=2.388266e+030 t=8148.53s
m=1.895221e+029 sd=9.314845e+025 ci(99%)=[1.892821e+029,1.897620e+029] n=655756333 sdn=2.385321e+030 t=8204.77s
m=1.895164e+029 sd=9.284399e+025 ci(99%)=[1.892772e+029,1.897556e+029] n=659119184 sdn=2.383613e+030 t=8257.00s
m=1.895009e+029 sd=9.367009e+025 ci(99%)=[1.892596e+029,1.897422e+029] n=662481869 sdn=2.410949e+030 t=8312.05s
m=1.894989e+029 sd=9.321639e+025 ci(99%)=[1.892588e+029,1.897390e+029] n=665844781 sdn=2.405353e+030 t=8363.08s
m=1.895037e+029 sd=9.286896e+025 ci(99%)=[1.892644e+029,1.897429e+029] n=669207624 sdn=2.402432e+030 t=8413.80s
m=1.894976e+029 sd=9.259980e+025 ci(99%)=[1.892591e+029,1.897362e+029] n=672570462 sdn=2.401480e+030 t=8463.86s
m=1.894942e+029 sd=9.220302e+025 ci(99%)=[1.892567e+029,1.897317e+029] n=675933372 sdn=2.397160e+030 t=8512.97s

Code: Select all

m=1.894942e+029 sd=9.220302e+025 ci(99%)=[1.892567e+029,1.897317e+029]

It seems like a hard task! Anybody has tried Chest 5.2 by the way?

Regards from Spain.

Ajedrecista.

[zullil]

Code: Select all

m=1.894942e+029 sd=9.220302e+025 ci(99%)=[1.892567e+029,1.897317e+029]

It seems like a hard task! Anybody has tried Chest 5.2 by the way?

Regards from Spain.

Ajedrecista.

Not hard at all. But rather time-consuming.

[peter]

[
Here's what Cfish-dev (MultiPV=6) currently shows. Seems consistent with what's shown above. I'll let this run a bit more...

info depth 113 seldepth 22 multipv 1 score mate 11 nodes 479229030333 nps 84287362 hashfull 1000 tbhits 0 time 5685657 pv e2e4 d8e7 d1g4 e8f7 f1c4 f7e8 g4c8 e7d8 c4f7 e8e7 c8e6 e7f8 d2d4 d8a5 c2c3 f8g7 c1h6 g7h7 e6g6 h7h8 h6g7
info depth 113 seldepth 22 multipv 2 score mate 11 nodes 479229030333 nps 84287362 hashfull 1000 tbhits 0 time 5685657 pv b1c3 d8d7 e2e4 d7e6 d1h5 e6f7 h5h6 f7f8 h6c6 e8f7 f1c4 f7g7 d2d4 g7h8 c6a6 f8g7 a6c8 g7f8 c8f8 h8h7 f8g8
info depth 113 seldepth 24 multipv 3 score mate 12 nodes 479229030333 nps 84287362 hashfull 1000 tbhits 0 time 5685657 pv d2d4 d8a5 b1c3 a5h5 e2e4 h5d1 c3d1 e8d7 a2a4 d7c6 a4a5 c6b7 a5a6 b7a7 c1f4 a7b6 a6a7 b6c6 a7a8q c6d7 a1a7 d7e6 a8c6
info depth 113 seldepth 24 multipv 4 score mate 12 nodes 479229030333 nps 84287362 hashfull 1000 tbhits 0 time 5685657 pv a2a4 d8a5 e2e4 a5g5 d1f3 g5g6 b1c3 g6e6 f1b5 e8d8 c3d5 d8c8 f3c3 c8b8 c3c7 b8a8 b5c6 e6c6 c7c6 a8a7 c6b6 a7a8 d5c7
info depth 113 seldepth 24 multipv 5 score mate 12 nodes 479229030333 nps 84287362 hashfull 1000 tbhits 0 time 5685657 pv e2e3 d8g5 a2a4 e8d7 a4a5 g5c5 b1c3 c5f5 a5a6 f5f8 a6a7 d7d6 d1h5 f8c8 a7a8q c8a8 a1a8 d6c6 a8a7 c6b6 h5a5 b6c6 a5c7
info depth 113 seldepth 24 multipv 6 score mate 12 nodes 479229030333 nps 84287362 hashfull 1000 tbhits 0 time 5685657 pv g1f3 d8a5 b1c3 e8d7 e2e4 a5h5 d1e2 h5a5 c3d5 d7e6 f3d4 e6d6 e2g4 a5d5 e4d5 d6c7 g4e6 c7b7 e6e7 b7b6 a2a3 b6a5 e7b4

Thanks, Louis, I still don't see more than 2 lines to #11 neither, e4 and Nc3, had an extra single primary run for 1.d4 and 1.Nf3, don't get under #12 with those, so I'd rather stop that here.

[peter]

so I'd rather stop that here.

[pgn]
[Event "CCC"]
[Site "?"]
[Date "2020.08.14"]
[Round "?"]
[White "Uski, Jouni"]
[Black "#11, and again"]
[Result "1-0"]
[Annotator "Martan,Peter"]
[SetUp "1"]
[FEN "3qk3/8/8/8/8/8/PPPPPPPP/RNBQKBNR w KQ - 0 1"]
[PlyCount "21"]

1. e4 (1. Nc3 Qg5 2. e4 Kf8 3. d4 Qg6 4. Qf3+ Qf7 5. Bh6+ Ke7 6. Nd5+ Qxd5 7.
exd5 Kd6 8. Bg5 Kd7 9. Qf7+ Kc8 10. Ba6+ Kb8 11. Qb7#) (1. e3 Qf6 2. Nc3 Qe6 3.
Qf3 Ke7 4. Nd5+ Kd6 5. Bc4 Qd7 6. b4 Qg7 7. Bb2 Qh7 8. Be5+ Ke6 9. Qf6+ Kd7 10.
Nb6+ Ke8 11. Bb5+ Qd7 12. Bxd7#) (1. Nf3 Kf8 2. d4 Qf6 3. Ne5 Qf5 4. Nc3 Qh5 5.
e4 Qxd1+ 6. Kxd1 Kg8 7. Nd5 Kg7 8. h4 Kf8 9. Rh3 Kg7 10. Rg3+ Kh7 11. Nf6+ Kh8
12. Rg8#) (1. a4 Qa5 2. e3 Ke7 3. Nc3 Kd7 4. Qf3 Qb6 5. Qf7+ Kd8 6. Nd5 Qc5 7.
Qg8+ Kd7 8. Bb5+ Qxb5 9. axb5 Kd6 10. Qf7 Kc5 11. Qd7 Kc4 12. Qc6#) (1. d4 Qa5+
2. Nc3 Qh5 3. e4 Qxd1+ 4. Nxd1 Kd8 5. h4 Kc8 6. h5 Kd7 7. h6 Kc8 8. h7 Kb7 9.
h8=Q Ka7 10. Rh7+ Kb6 11. Qb8+ Kc6 12. Bb5#) (1. d3 Kd7 2. e4 Qe7 3. Qg4+ Qe6
4. Qxe6+ Kxe6 5. a4 Kd7 6. a5 Ke7 7. a6 Kd6 8. a7 Kc5 9. a8=Q Kb6 10. Be3+ Kc7
11. Ra7+ Kd6 12. Qd5#) (1. Nh3 Ke7 2. Nc3 Qg8 3. d4 Kf8 4. e4 Qg6 5. Qf3+ Kg7
6. Bc4 Qf6 7. Qg4+ Qg6 8. Qd7+ Kh8 9. Qe7 Qg7 10. Qd8+ Kh7 11. Qh4+ Kg6 12.
Nf4#) (1. c4 Kf7 2. Nc3 Qd4 3. Qb3 Qd8 4. Nd5 Qf8 5. a4 Qc5 6. Ra3 Ke6 7. Qh3+
Kd6 8. Rg3 Qxd5 9. Rg6+ Kc5 10. b4+ Kxb4 11. Qc3+ Kxa4 12. Qa3#) (1. h4 Qe7 2.
Nc3 Kd8 3. e4 Qf7 4. Qg4 Qd7 5. Qf4 Qc7 6. Qf8+ Kd7 7. Bb5+ Ke6 8. Qf5+ Kd6 9.
Qf6+ Kc5 10. b4+ Kxb4 11. a3+ Ka5 12. Qa6#) (1. g4 Qd5 2. Nf3 Qb7 3. d4 Kd8 4.
Nc3 Ke8 5. Qd3 Kd8 6. Ne5 Kc8 7. Qc4+ Qc7 8. Qe6+ Kb7 9. Bg2+ Kb8 10. Nc6+ Kb7
11. Nb4+ Ka7 12. Nb5+ Kb8 13. Na6#) (1. f4 Qh4+ 2. g3 Qf6 3. e3 Qf7 4. Qg4 Kd8
5. Bh3 Kc7 6. Qc8+ Kb6 7. Bg2 Qc7 8. Qa8 Kc5 9. b3 Kd6 10. Ba3+ Qc5 11. Bxc5+
Ke6 12. Qb7 Kf5 13. Qf7+ Kg4 14. Qg6#) (1. b4 Qg5 2. e3 Qf5 3. Bb2 Kd7 4. Bd3
Qd5 5. Qg4+ Kd8 6. Nc3 Qf7 7. Bb5 Kc7 8. Bc4 Qd7 9. Nd5+ Qxd5 10. Bxd5 Kd8 11.
Qe6 Kc7 12. Qc6+ Kb8 13. Qb7#) 1... Kf8 2. Qg4 Qb6 3. d4 Qxd4 4. Nf3 Qc5 5. Qe6
Qb4+ 6. Nc3 Qe7 7. Bh6+ Ke8 8. Bb5+ Kd8 9. Qc6 Qd6 10. Qxd6+ Kc8 11. Ba6# 1-0
[/pgn]

1.e4 and 1.Nc3 #11, 1.d4, 1.c4, 1.a4, 1.h4, 1.e3, 1.d3, 1.Nf3 and 1.Nh3 #12. One could give two times !, 8 times !? and some ?! for others in category "also ran", like 1.g4, 1.b4, 1.f4.