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| Posted by misato uskidscompute.com 4/18/2006 07:55:28 Play online chess |  Subject: Mathematical Bobby Fischer puzzleMessage: There was no tournament, but of course, a lot of games were played (and a lot of smalltalk as well). No one played a game with their (married or engaged) partner, no one played a game "alone", no one played more than one game with the same opponent. When all the guests had to leave, Miyoko said good-bye to everyone and asked "How many games did you play here?" She got all different answers (=numbers). Finally she asked Bobby and got another different answer. How many games did Bobby Fischer play at this con? | ||||||||||||||||||||||||||||||
| Posted by coyotefan uskidscompute.com 4/18/2006 08:42:27 Play online chess | Sorry Message: OK I am wrong, his execution would be a great event :) Remember who this man is and what he stands for before using such vile language as "Bobby Fischer" on this great site. | ||||||||||||||||||||||||||||||
| Posted by ccmcacollister uskidscompute.com 4/18/2006 10:06:46 Play online chess | Depends! Message: But what happened to the invitation for sugarandspice and me ??! There's another married couple here, on the Global Bounty Hunters. Wonder if they got theirs!? I'm hurt. }8-( }8-) Ps// CF, bet you'd give a grouchy answer too if someone ambushed you with a wakeup call asking how you liked the USA if you had a vendetta tracking you like the (unconvicted) Bobby did! He's entitled to his opinions, and hasn't been treated well by a certain administration that went gunning for him. Not to mention the Pasedena police dept. violating his rights to the extent he claims. ——— Skilled at the Chessboard, Keyboard and Blackboard — Chess produces prodigies. So do mathematics and music. And while the relationship between chess and mathematics is clear, and many accomplished mathematicians are also skilled musicians, it is unusual to find a prodigy in all three areas. Noam Elkies, who turned 44 on Wednesday, is that rare triple threat. A Manhattan native, he graduated from Stuyvesant High School by age 15, and at the top of his class at Columbia University three years later. He earned a Ph.D. in mathematics from Harvard at 20. He became the youngest winner of the William Lowell Putnam Mathematical Competition for undergraduates when he was 16. Ten years later, he became the youngest full professor in ... Posted by ionadowman | uskidscompute.com 4/18/2006 14:03:30 Play online chess Is an answer possible here?Message: Since no one played solo, nor played his or her 'partner', that leaves a maximum of 128 games anyone could have played. The numbers of games available to have been played range from 0 to 128, 129 different numbers in all. Of course, Miyoko Watai didn't ask herself, so 129 different responses are possible. Yet I feel that unless this is a trick question with 'yellow bulldozer' as the answer, there isn't enough information. Otherwise the answer is zero... I'll think about this some more... Cheers, Ion ——— David Howell neglects British title defence to seek tougher challenges — England's youngest chess grandmaster David Howell, 19, made an ambitious and bold decision last month, when he opted to miss defending the British title he won in 2009. Instead Howell decided to test himself at higher levels, at three strong European chess events in two of which he was seeded near the bottom. The policy looked dubious in the early rounds of the young grandmasters invitation at Biel, Switzerland where Howell began with 1.5/6. But the Sussex teenager, who sometimes used to fade under pressure, fought back to a solid 3½/9. Then he made a strong 8½/11 total in the highly rated world rapids (30-minute games) in Mainz, Germany, losing only to Russia's elite GM Sergey Karjakin. This ... Posted by ccmcacollister | uskidscompute.com 4/18/2006 15:01:42 Play online chess The Key?!Message: **** ionadowman Like you said, sounds tricky ! But I wonder if the key is not in the above sentence!? That ALL ANSWERS WERE DIFFERENT. And is it saying all were different numbers. Does that mean Bobby's would be a number different from all the others!? Or perhaps that his answer was Not A Number!? That is what I am not clear on from the presentation of (=numbers). We know there are 129 different responses tho, it says. And 0 to 128. hmmm. Yet of the 130 players no one can play themself nor their partner. Thus everyone should have an option of only 128 to play. I assume she did not ask herself and that accounts for 129 rather than 130 "responses". Then Bobby's must be NUMBER I guess, to account for 129 responses. What you think? Even considering this possibility, I havent gotten it yet either! But it is fun to contemplate :) Thanks misato for the brain tease. :) ——— A Nimble Chess Artist — The former U.S. chess champion Hikaru Nakamura is fast. The quicker the pace on the chess board, the more he seems to enjoy playing. His nimble skills helped him to secure a place for the next traditional Amber tournament, a blindfold and rapid chess extravaganza played every spring on the French Riviera. Competing at the NH tournament in Amsterdam, Nakamura, 22, led the Rising Stars to a 26-24 victory over the chess veterans, the Experience team, on Sunday. Another member of the winning team, the young Dutch champion Anish Giri, 16, had an identical 6-4 score as Hikaru, but only one could qualify for the Amber tournament. In the blitz playoff, Nakamura defeated Giri 2-0, ensuring ... Posted by misato | uskidscompute.com 4/18/2006 22:12:26 Play online chess clarification Message: 2) She got 129 different answers (including Bobbys), all answers were numbers, and its obvious that those numbers were from zero to 128. 3) There is no word-trick in it. I was told this one yesterday with three invited couples and hand-shaking instead of playing chess games (= numbers from zero to six). After solving it I noticed that this problem can be generalized (and 64 is a better number for chess players). So you might as well try it with three (or less?) invited couples. Its just the same. ——— Dmitry Andreikin wins world junior title — The 49th World Junior Chess Championship ended Monday in Chotowa, Poland. Every country was invited to send its best young chess players, born in 1990 or later. The record field of 120 players, representing 55 countries, included 20 grandmasters and 34 IMs. Russian chess grandmasters Dmitry Andreikin, age 20, and Sanan Sjugirov, 17, shared first place with scores of 10-3. On tiebreak, Andreikin wins the gold medal. Andreikin had played in four previous World Juniors, with a best result of fourth place in 2007. This year, he was rated highest at 2650 and went undefeated despite facing eight GMs. Sjugirov won the most games (eight) but suffered one upset. Four chess players tied for ... Posted by mattdw | uskidscompute.com 4/19/2006 00:58:21 Play online chess I think I may have it.Message: ——— Rising Chess Stars Win NH Chess Tournament — In the end, youth was served, but barely. The NH tournament in the Netherlands ended Sunday in victory for the young team of “rising stars.” They edged the “experience” team 26 to 24. Last year the experience team won, 27.5 to 22.5. The chess tournament was organized under the Scheveningen system in which the members of each group play all the members of the other group twice. The top players for the rising stars were Hikaru Nakamura of the United States and Anish Giri of the Netherlands, who each scored 6 points. Giri was ahead of Nakamura before the last round, but he lost to Peter Heine Nielsen of Denmark, while Nakamura drew with Boris Gelfand of Israel, the top-ranked chess ... Posted by ionadowman | uskidscompute.com 4/19/2006 02:41:28 Play online chess Thanks mattdw...Message: Nice one. Posted by ccmcacollister | uskidscompute.com 4/19/2006 03:27:15 Play online chess Sounds right to me mattdw Message: I only have one question about it, let me run by you in a PM and see what you think. }8-) Posted by misato | uskidscompute.com 4/19/2006 03:30:12 Play online chess Just one question remains, Matt:Message: My solutions were less elegant: Bobby couldnt play 128 games because then no guests answer could have been "zero". So a guest was to say "128". Let it be a man, so his wife is the only one with a possible answer "zero" (because this guy played all other participants). And then step by step downwards ("127" is impossible for Bobby as well because of the "1"). Or you start with "Bobbys answer zero is impossible because ..." and go upwards step by step. I like the idea of the additive complement better, thanks! Posted by ionadowman | uskidscompute.com 4/19/2006 13:13:42 Play online chess But...Message: One is that we don't need to suppose that each couple's games totalled 128. All we have to do, as ccmcacollister is indicating is to take complementary pairs. It is true, however, that Miyoko and Bobby play 64 games each. Now, what if we were to pair up players whose games totalled 129? 128+1, 127+2, ..., 64+65. All different. That means Bobby played no games at all: zero. However many games Miyoko played is immaterial, though according to the parameters of the puzzle, it must have been not more than 128. Does this work? Or is this no solution because Miyoko would have in fact to have played 129 games? Back to the pencil and paper methinks.... Posted by misato | uskidscompute.com 4/19/2006 18:12:16 Play online chess 129 for each pair is impossible Message: 65 (=number of couples) * 129 = 8385 would be the overall total, so - like you pointed out correctly - there is a difference of 129 (=Miyokos number) which is a contradiction. I agree that this is no valid solution. 130 * 65 = 8450 is far too much. Less than 128 games for each guest pair doesnt work either: 127 * 64 = 8128, so Bobbys number would be 8256 - 8128 = 128 (so he played all guest persons). Also impossible because of the one zero-answer. And 126 * 64 = 8064 is far too few. But why can we suppose that the couples sums are always the same result, for each couple (at least for the guest couples)? I know that this assumption is true (with the result of 128), but I cant find an easy explanation for that. My non-easy explanation is that the zero-players partner is the only one with 128 possible games. So one pair is 128+0, and this must be a guest pair. And then find the combination for the 1-player (who only played the 128-player), the 127-player must be their wife/husband (guest pair as well). And so on ... But this is close to my step-by-step-solution. Posted by tag1153 | uskidscompute.com 4/19/2006 22:05:25 Play online chess I've run this one by Fritz.......Message: Posted by far1ey | uskidscompute.com 4/19/2006 23:42:02 Play online chess Reply tagMessage: PS: Ms Scarlet did it, in the Study with the lead pipe;) Posted by muppyman | uskidscompute.com 4/20/2006 02:07:41 Play online chess in that case,Message: Posted by ionadowman | uskidscompute.com 4/20/2006 13:06:14 Play online chess Preparing dinner...Message: A fine puzzle, misato! It were the butler wot done it. Cheers, Ion Posted by fmgaijin | uskidscompute.com 4/21/2006 09:47:45 Play online chess I Am Deeply Hurt . . . Message: *Taking Miyoko-chan off of my Ochugen gift list* Posted by ionadowman | uskidscompute.com 4/21/2006 14:23:47 Play online chess Not only do we know now... Message: Colonel Cranberry-Sauce, with the suburban utility vehicle, in the driveway. Cheers, Ion |