Author: Gogi Cviak
Date: 23:50:10 12/28/01
Go up one level in this thread
>KNNN vs KR can't possibly be a win for the knights, since RxN is drawn, and >there are three of them to threaten. In KBN vs KRR, "all" you have to do to win >is win an exchange with a knight while preserving your bishop, but in this one >you have to win a whole rook while preserving everything. > >Interesting questions. > >bruce So bruce, KBN VS KRR, CAN THEY WIN? On December 29, 2001 at 01:05:26, Eugene Nalimov wrote: >I did not generated those TBs yet... But here is statistics for KRNNKR: > >wtm: Lost in 0: 635025 >wtm: Lost in 1: 305822 >wtm: Lost in 2: 52263 >wtm: Lost in 3: 2253 >wtm: Lost in 4: 198 >wtm: Lost in 5: 11 >wtm: Lost in 7: 1 >wtm: Lost in 9: 1 >wtm: Lost in 13: 8 >wtm: Lost in 14: 10 >wtm: Lost in 15: 1 >wtm: Lost in 16: 21 >wtm: Lost in 17: 33 >wtm: Lost in 18: 138 >wtm: Lost in 19: 134 >wtm: Lost in 20: 171 >wtm: Lost in 21: 90 >wtm: Lost in 22: 42 >wtm: Lost in 23: 78 >wtm: Lost in 24: 107 >wtm: Lost in 25: 161 >wtm: Lost in 26: 223 >wtm: Lost in 27: 193 >wtm: Lost in 28: 154 >wtm: Lost in 29: 135 >wtm: Lost in 30: 66 >wtm: Lost in 31: 54 >wtm: Lost in 32: 43 >wtm: Lost in 33: 39 >wtm: Lost in 34: 29 >wtm: Lost in 35: 29 >wtm: Lost in 36: 15 >wtm: Lost in 37: 9 >wtm: Lost in 38: 7 >wtm: Lost in 39: 4 >wtm: Draws: 118405682 >wtm: Mate in 42: 2 >wtm: Mate in 41: 44 >wtm: Mate in 40: 163 >wtm: Mate in 39: 438 >wtm: Mate in 38: 1126 >wtm: Mate in 37: 2406 >wtm: Mate in 36: 4712 >wtm: Mate in 35: 10214 >wtm: Mate in 34: 19831 >wtm: Mate in 33: 40248 >wtm: Mate in 32: 80989 >wtm: Mate in 31: 155905 >wtm: Mate in 30: 326043 >wtm: Mate in 29: 732070 >wtm: Mate in 28: 1733722 >wtm: Mate in 27: 4108218 >wtm: Mate in 26: 9274156 >wtm: Mate in 25: 19089003 >wtm: Mate in 24: 35010520 >wtm: Mate in 23: 56512208 >wtm: Mate in 22: 79895964 >wtm: Mate in 21: 99165290 >wtm: Mate in 20: 109540651 >wtm: Mate in 19: 109782656 >wtm: Mate in 18: 102307213 >wtm: Mate in 17: 90323380 >wtm: Mate in 16: 76996399 >wtm: Mate in 15: 64661555 >wtm: Mate in 14: 54833663 >wtm: Mate in 13: 51583670 >wtm: Mate in 12: 58870935 >wtm: Mate in 11: 85400623 >wtm: Mate in 10: 141353106 >wtm: Mate in 9: 184735933 >wtm: Mate in 8: 179832361 >wtm: Mate in 7: 143695586 >wtm: Mate in 6: 95875216 >wtm: Mate in 5: 53840184 >wtm: Mate in 4: 23369643 >wtm: Mate in 3: 15639317 >wtm: Mate in 2: 11167221 >wtm: Mate in 1: 13902514 >wtm: Broken positions: 447037334 >btm: Lost in 0: 2665158 >btm: Lost in 1: 1830996 >btm: Lost in 2: 1235360 >btm: Lost in 3: 1458724 >btm: Lost in 4: 2519273 >btm: Lost in 5: 5325005 >btm: Lost in 6: 10184886 >btm: Lost in 7: 17350432 >btm: Lost in 8: 27673536 >btm: Lost in 9: 38873457 >btm: Lost in 10: 41928561 >btm: Lost in 11: 35820790 >btm: Lost in 12: 31306580 >btm: Lost in 13: 30040606 >btm: Lost in 14: 35114298 >btm: Lost in 15: 44750911 >btm: Lost in 16: 57162782 >btm: Lost in 17: 71981325 >btm: Lost in 18: 87834640 >btm: Lost in 19: 102530998 >btm: Lost in 20: 112795722 >btm: Lost in 21: 114456139 >btm: Lost in 22: 103738652 >btm: Lost in 23: 81887604 >btm: Lost in 24: 55869247 >btm: Lost in 25: 32988981 >btm: Lost in 26: 16959493 >btm: Lost in 27: 7670672 >btm: Lost in 28: 3224396 >btm: Lost in 29: 1345159 >btm: Lost in 30: 599294 >btm: Lost in 31: 289784 >btm: Lost in 32: 143127 >btm: Lost in 33: 66518 >btm: Lost in 34: 32920 >btm: Lost in 35: 15270 >btm: Lost in 36: 6917 >btm: Lost in 37: 3285 >btm: Lost in 38: 1528 >btm: Lost in 39: 425 >btm: Lost in 40: 116 >btm: Lost in 41: 22 >btm: Lost in 42: 3 >btm: Draws: 1293094089 >btm: Mate in 41: 43 >btm: Mate in 40: 228 >btm: Mate in 39: 964 >btm: Mate in 38: 1437 >btm: Mate in 37: 4710 >btm: Mate in 36: 8743 >btm: Mate in 35: 9723 >btm: Mate in 34: 14529 >btm: Mate in 33: 18046 >btm: Mate in 32: 25308 >btm: Mate in 31: 28746 >btm: Mate in 30: 40902 >btm: Mate in 29: 61049 >btm: Mate in 28: 71580 >btm: Mate in 27: 77772 >btm: Mate in 26: 79650 >btm: Mate in 25: 88874 >btm: Mate in 24: 91360 >btm: Mate in 23: 84030 >btm: Mate in 22: 70021 >btm: Mate in 21: 66770 >btm: Mate in 20: 74687 >btm: Mate in 19: 103615 >btm: Mate in 18: 101279 >btm: Mate in 17: 59647 >btm: Mate in 16: 24745 >btm: Mate in 15: 15128 >btm: Mate in 14: 10292 >btm: Mate in 13: 6367 >btm: Mate in 12: 2979 >btm: Mate in 11: 2025 >btm: Mate in 10: 1836 >btm: Mate in 9: 1536 >btm: Mate in 8: 3452 >btm: Mate in 7: 2363 >btm: Mate in 6: 5286 >btm: Mate in 5: 11600 >btm: Mate in 4: 39398 >btm: Mate in 3: 322779 >btm: Mate in 2: 1951027 >btm: Mate in 1: 4493961 >btm: Broken positions: 438220752 > >Will move KBNNKQ, KBNNKR, and KNNNKR higher in my "TODO" list. > >Eugene > >On December 28, 2001 at 13:32:46, Bruce Moreland wrote: > >>On December 28, 2001 at 08:51:30, Mike Hood wrote: >> >>>On December 27, 2001 at 22:30:26, Dann Corbit wrote: >>> >>>>On December 27, 2001 at 22:25:20, Gogi Cviak wrote: >>>> >>>>>Guys, if u know a programmer, let me know, somebody who knows chess and >>>>>checkers, this is strictly for fun, no sales! >>>> >>>>There are dozens of programmers who post here. >>>> >>>>>can 3 knights beat a rook, >>>> >>>>Yes. And no. Depends on the position. >>>> >>>>>can 2 knights and a bishop win against a rook, >>>> >>>>Yes. And no. Depends on the position. >>>> >>>>>what do the databases say? >>>> >>>>Try a lookup and see. There is an online version of the Nalimov tables that you >>>>can query to your heart's content. >>> >>>I'm not aware that there's a KBNN-KR tablebase available, or in fact any 6 piece >>>tablebases for Kxxx-Kx. I would be more interested in KBNN-KQ, if anyone has a >>>computer powerful enough to generate it. >>> >>>A general question is... are there any 6-piece tablebases available anywhere >>>apart from Bob Hyatt's server? >> >>KBNN vs KQ has to be drawn: >> >>1) The queen isn't going to beat the pieces, since there are lots of pieces. >>2) The pieces aren't going to beat the queen, since QxB is a draw. >> >>KBNN vs KR is interesting to think about. >> >>1) RxB is drawn, but ... >>2) ... RB vs R is almost won, and that's one "point" less. Of course, RxB is >>*not* draw in that case. >> >>If it is won, I bet it is *extremely* difficult. I'd bet on drawn. >> >>KNNN vs KR can't possibly be a win for the knights, since RxN is drawn, and >>there are three of them to threaten. In KBN vs KRR, "all" you have to do to win >>is win an exchange with a knight while preserving your bishop, but in this one >>you have to win a whole rook while preserving everything. >> >>Interesting questions. >> >>bruce
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