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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1002.0. "games again" by HERON::BUCHANAN (Andrew @vbo/dtn8285805/ARES,HERON) Thu Dec 29 1988 20:47

+---+---+---+---+---+---+---+---+
| Q |   |   |   | q |   | r |   |	WHITE has 15 bits.   black has 4 bits.
+---+---+---+---+---+---+---+---+
|   |   | P | P |   | P |   | k |	WHITE playing upwards as normal: ie.
+---+---+---+---+---+---+---+---+	there *are* three of his pawns
|   |   |   |   | P |   |   |   |	threatening to promote.
+---+---+---+---+---+---+---+---+
|   |   | K |   |   |   | R |   |	White to play.
+---+---+---+---+---+---+---+---+
|   |   |   | B |   | N |   |   |	The question is:  this position has a
+---+---+---+---+---+---+---+---+	certain bizarre property.   What is it?
|   | p |   | P |   | B |   |   |	
+---+---+---+---+---+---+---+---+
|   |   | P | N |   |   |   | P |
+---+---+---+---+---+---+---+---+
| R |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+
T.RTitleUserPersonal
Name
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1002.1very bizarre. were both players drunk?AITG::DERAMODaniel V. {AITG,ZFC}:: D'EramoFri Dec 30 1988 14:396
>>     The question is:  this position has a certain bizarre
>>     property.   What is it?
     
     With Rh5 (i.e., R-KR5) White can mate on the move. :-)
     
     Dan
1002.2red herringHERON::BUCHANANAndrew @vbo/dtn8285805/ARES,HERONFri Dec 30 1988 15:135
>     With Rh5 (i.e., R-KR5) White can mate on the move. :-)

	That's not the bizarre yet simple property I'm looking for.
Perhaps I should replace Rg8 by an N.   It makes no difference to the
problem as set.
1002.3A clever problem! I liked it.AITG::DERAMODaniel V. {AITG,ZFC}:: D'EramoFri Dec 30 1988 19:2512
     Got it.  Answer after the <ff>.
     
     Each of White's fifteen pieces and pawns has a different
     number of legal moves, from 0 (the pawn on d3) to 14 (the
     queen on a8).
     
     Dan
     
     The detailed count:  0: Pd3, 1: Pe6, 2: Ph2, 3: Pc2, 4: Pc7,
     5: Nd2, 6: Nf4, 7: Kc5, 8: Pd7, 9: Bd4, 10: Bf3, 11: Rg5,
     12: Pf7, 13: Ra1, 14: Qa8.  Different promotions (i.e, to
     queen, rook, bishop, or knight) count as different moves.
1002.4.-1 is no longer set hiddenAITG::DERAMODaniel V. {AITG,ZFC}:: D'EramoSat Dec 31 1988 01:097
     I set my answer in .-1 hidden.  Try the problem again and if
     you want a hint, there's one after the formfeed ...
     
     Consider all of the possibilities as well as problem B-6 of
     the 1988 Putnam Exam (note 989) and note 996.
     
     Dan
1002.5But I recall the occasion...AKQJ10::YARBROUGHI prefer PiThu Jan 05 1989 15:537
Nothing bizarre about it - it's the final position of the deciding game of 
the Climbupsky - Rappeldownsky match in Vladivostok, 1919. Climbupsky,
needing only a draw to win the match, played R-N7 ch and R-N6 check several 
times until his opponent collapsed of boredom. The full score of the game
was lost. No big deal. 

	:-) # )-: