roolstar

My reply comes a bit more than a year after the last reply. Well, better late than never I suppose

Totally agree with DeeGee here. If the first click STARTS the timer, Buzzy is the fastest clicker with 19 clicks in 20 seconds (19/20), followed by Emily with 9/10 then by Anthony with 4/5. To better illustrate we need to consider the time between clicks and not the number of clicks in a period of time. C = Click (no time) T = Time period For Anthony, he's clicking by following the series below C T C T C T C T C in 5 seconds 4T = 5 seconds => T = 1.25 Anthony will then complete 40 clicks in 39xT => 39x1.25 = 48.75 seconds Emily: C T C T C T C T C T C T C T C T C T C in 10 seconds 9T = 10 seconds => T = 1.11 seconds Emily will then complete 40 clicks in 39xT => 39x1.11 = 43.33 seconds Buzzy: C T C T C T C T C T C T C T C T C T C T C T C T C T C T C T C T C T C T C T C in 20 seconds 19T = 20 seconds => T = 1.05 seconds Buzzy will then complete 40 clicks in 39xT => 39x1.05 = 41.05 seconds (THE FIRST TO GET TO 40 CLICKS)

I tried this as a test!! I just threw the phone guide from the 3rd floor of my building and all 527 pages landed in a perfect pile!! Amazing, I wonder if people would actually pay money to see this incredible show! I think I can get a job as a university professor now easy

What a long (and complicated) thread to read... So here's my contribution to this subject. Going back to the original OP, the 2 players are masters of logic (and both love beer). They want to maximize the number of beers, they don't look to get more than each other. The word "sucker" will not affect their judgements either (emotional triggers do not affect masters of logic). In that case defecting would be stupid, illogical and an EMOTIONAL decision. That being said, Masters of logic would always cooperate. Defecting even once is an emotional decision Now I realize that, since this thread is taking so long, people are considering these masters of logic as regular people with feelings, who may seek EGO results and even vengeance. Well, in that case, NOTHING BIG really changes either. The only chance of defecting would be at the last round (unless these masters of logic are plain stupid). If that round is defined before hand, they may both defect or both cooperate that round and the total number of beers they accumulated will change by a maximum of 1 beer. Now if we don't take the "masters of logic" part literally, we will end up in what the humanity has been through since early history. And one of the 2 brothers will kill the second to maximize its winnings and wealth. We may even find a World War I or II scenario. In real life, this game will never end. People will end (being mortal), but the game won't, it will continue with our children and grand-children playing it. That is why now we know that our decisions are much more emotional than rational, and some people (egoistic, short-term people), may at some point choose to defect. I assume that this puzzle may have something to do with the situation the world is right now. And if you don't know what I'm talking about, just watch the news. I don't intend to discuss politics, I hate this subject (everybody assumes they are on the "right" side of the conflict). But in my opinion, the intention behind the United Nations was to provide an arena for this game to be played rationally. (My opinion about the UN set aside). Remember this: "We decide emotionally, then justify it rationally!" In 2 words, No one wil be sober after that game ends

Is the second condition (divisible by 9) needed in this case? It goes without saying, doesn't it?

I thought they arrested the murdereD as by the OP.

I hope I didn't make any mistakes rushing into this...

Rule #1: Never be the first to go for the average in your counter offer!!!! In the previous solutions, it was assumed that the seller would start by asking for $75 In my opinion, the seller being more professional and experienced would have waited untill Sean agreed on paying $75, then he would ask for the new average. superprismatic was right on both accounts I think.

This OP did produce a single solution! This made me think of a twist: Would we always have one single solution had K Sengupta chose any other triplet of 3 jobless candidates in that interiew? If not, what is(are) the triplet(s) that would give more than one possible solution in that case? Remember, the right sequence is fixed in the spoiler above The jobless candidates have 2 or less right answers I hope it's ok with K Sengupta that I posted this. I hope you find it interesting to prove/disprove. At least, it was for me!

I've been sitting here reading all these posts about ogre being stupid and I've had it! I think you all owe my wife an apology! In her own words: "Omf kuf tuug gsut gout!" You guys should be ashamed of yourselves.

If you don't already know this one, I'm sure you will find it very interesting and fun to solve! And if you do find the answer (or already know it) please put it under a spoiler tab so that you don't take the fun from the rest of the intelligent people in this forum.... Here we go.... You are one of 20 prisoners on death row with the execution date set for tomorrow. Your king is a ruthless man who likes to toy with his people's miseries. He comes to your cell today and tells you: “I’m gonna give you prisoners a chance to go free tomorrow. You will all stand in a row (queue) before the executioner and we will put a hat on your head, either a red or a black one. Of course you will not be able to see the color of your own hat; you will only be able to see the prisoners in front of you with their hats on; you will not be allowed to look back or communicate together in any way (talking, touching.....) (The prisoner in the back will be able to see the 19 prisoners in front of him The one in front of him will be able to see 18…) Starting with the last person in the row, the one who can see everybody in front of him, he will be asked a simple question: WHAT IS THE COLOR OF YOUR HAT? He will be only allowed to answer “BLACK” or “RED”. If he says anything else you will ALL be executed immediately. If he guesses the right color of the hat on his head he is set free, otherwise he is put to death. And we move on to the one in front of him and ask him the same question and so on… Well, good luck tomorrow, HA HA HA HA HA HA!” Now since you all can communicate freely during the night, can you find a way to guarantee the freedom of some prisoners tomorrow? How many? Remark of Site Admin: Note that solution for this puzzle is already given in the following post by bonanova.