| 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 |
+---+---+---+---+---+---+---+---+ | 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.R | Title | User | Personal Name | Date | Lines |
|---|---|---|---|---|---|
| 1002.1 | very bizarre. were both players drunk? | AITG::DERAMO | Daniel V. {AITG,ZFC}:: D'Eramo | Fri Dec 30 1988 11:39 | 6 |
>> 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
| |||||
| 1002.2 | red herring | HERON::BUCHANAN | Andrew @vbo/dtn8285805/ARES,HERON | Fri Dec 30 1988 12:13 | 5 |
> 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. | |||||
| 1002.3 | A clever problem! I liked it. | AITG::DERAMO | Daniel V. {AITG,ZFC}:: D'Eramo | Fri Dec 30 1988 16:25 | 12 |
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 hidden | AITG::DERAMO | Daniel V. {AITG,ZFC}:: D'Eramo | Fri Dec 30 1988 22:09 | 7 |
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
| |||||
| 1002.5 | But I recall the occasion... | AKQJ10::YARBROUGH | I prefer Pi | Thu Jan 05 1989 12:53 | 7 |
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. :-) # )-: | |||||