plainglazed

well it seems i've been pigeonholed as an overzealous OP. had adapted this puzzle from another which used the first two cards to define what the second logician guessed on half of those remaining plus the half then definable. with the fifty-two playing card format, figured one could do a little better by combining plasmid's described endplay and including the second card in what EventHorizon described as cards 3-26 guaranteeing seven of those twenty five. did not think that thirty three would necessarily be best. did expect it would take some long complicated algorithm to do better rather than such a simple and elegant solution. (though bushindo has not yet chimed in...) brilliant plasmid, kudos!

Somewhat fits but doesn't have that Shakee feel. Perhaps now can think of something beyond that. Another fine example, sir.

think the first two cards could tell what to choose for one of up or down. two more cards could tell for the other. and you're right, then 12 of the next twenty four could be known. the problem tho arises with the balance of the cards because you have gleaned no more information. tho i may have misunderstood what you were saying.

hello subhajit banerjee - welcome to BrainDen To make a post go to the appropriate forum, in this case New Optical Illusions and click the "Start New Topic" button. Enter a title then any text you want to include in the large dialogue box. You can attach an image one of two ways. If the image is on the web, you can click the little picture icon above the dialogue box and enter the url. Or you could type the image tags with the url in between like this: [img=www.my_image.com] If the image is on your computer, you can click the Browse button below the dialogue box. Once you locate your image, click the "Attach This File" button just below, then the "Add to Post" button below the dialogue box and to the right. That should do it. Please do not hesitate to ask if you have any issues or other questions.

I'd like to take a blow to the SHIN - at least the halls of the Tower is a library with "bound" books as old souls. Feel am a little behind and missing the objective/stating the apparent. Can extend the metaphors in this paragraph of post #73 much further and with lots of other inanimate objects of a library. at least will get a seat at the table, anyway. great stuff as before WoD/S.

ooh, nice going plasmid and EventHorizon - one can still guarantee just a little more...

well done, plasmid. now we're making progress. however, you can still guarantee more correct predictions. and bonanova's comment adds some customarily additional clarity. @ Time Out - tho am most often a New Word Riddles Forum contributor, this one is straight forward Math/Logic so the answer to your question would be no - not this time out - .

hey plasmid - all of what you say is true. will reiterate that the guarantee part is intended, just in case. good work, it will come. you'll appreciate the answer. of course it did, should have added the appropriate smiley. was just attempting to extend the fun. can be hard to get the tone right in this forum format but always go with the assumption that it's all about the fun, myself. you bring up an excellent point. please assume the faces of all cards are bilaterally symmetric and reveal no additional info nor can their orientation be changed. hope that doesn't throw anyone who may have been taking that tack.

ah "shoot" - thanks for another fantastic I'm not a..., plasmid. most enjoyable as always.

with yours, am often torn between a desire to post an answer and leaving it for others to enjoy/get hooked. always a great challenge and great fun. thanks alot Sir Shakelot!

yeah, think you can do at least a little better. good to know you're on the case. suspected as much but didn't want to just leave you hangin' (@ 15,000')

hmm, guess that again works making a max of 51? let's say the only info the second logician receives is the orientation of the top card of the remaining deck, the cards already revealed, and the orientation of all previous top cards. EDIT: oops, had missed your play for determining the first card. also failed to mention my doubts as to the ability of even the wiliest of logicians to flip over a playing card from a stacked deck using either hand - wearing mittens!

that's correct. the first logician arranges the orientation of the cards without changing the order in some predetermined system then places the evenly stacked deck face down. the second logician predicts the suit of the top card, that card is revealed, then the back of the next card and its orientation is revealed, the suit of that card is guessed, etc. had struggled with the wording. hope that helps? nah, the same image is one each card. orienting the cards plane up or down just gives a "bit" of info to the other logician who does not know the order of the cards.

On the return journey from the Arctic Circle of Logicians Fresh Air/Fresh Ideas annual seminar, each pair of logicians received a complimentary pack of fifty two standard playing cards. These particular playing cards featured an image of the mighty de Havilland C-6 Twin Otter; the very aircraft they were currently shivering in. As such, each face down card would have one of two different orientations. The plane would either be pointing straight up against a sunless grey sky in an apparent death stall or, because of the slight tilt of its wings, would appear to be stuck in a sustained tailspin. Due to the logicians nervous desire for any distraction from the umhh, cold; they developed the following challenge: If a pair works together where only one knows the order of a shuffled deck and pre-arranges the direction of the plane on each card (without changing the order of the deck) and the other predicts the suit of each card, one at a time, from the evenly stacked face down deck, what scheme yields the maximum guaranteed correct number of suit predictions?

strong cases for all the above but personally cant make any one (including the following) fit entirely. suspect that's due to my dimness but anyway -

had been thinking similarly

yes sp, thanks for the explanation. and et @ superprismatique - mais bien sur

yes indeed, bushindo. well done.

hey Mo Ma - no, once a hand is raised that is the only bit of info the rest of the group can directly discern from that logician.

hey bushindo - right you are, rewrote this this a.m. and forgot that bit. hadn't saved my .txt draft and Microsoft was kind enough to update and reboot my machine last night. thanks and sorry and sorry, too - no blinking in morse code, looking in the reflection of the irises to your right, hoof stomping, shouting the number across from you in pig latin, etc., etc...

I thought for sure I mentioned in the OP that they were attending the Arctic Circle of Logicians annual Fresh Air/Fresh Ideas Seminar and were all wearing mittens. Apparantly not, so your answer does indeed fit within the constraints of the OP, Time Out. But for grins, let's do assume the logicians are all wearing plain white mittens.

This game was still ongoing when I checked last.

Each of eight logicians has a unique positive integer less than 100 stapled to their foreheads. They stand in a circle facing one another so every logician can see everyone's number, save for their own. Each logician must discern their number and raise their hand. After all logicians have raised a hand, they must then all declare their number in unison. What strategy (within the assumed spirit of these types of puzzles) might they employ such that all are correct? EDIT

hate to be a nudge but let's keep it on topic so this thread does not have to be locked. our Witch; whichever, has promised new challenges in a new thread. patience people.