Note: (Update 1/28/2003 2:40AM) There are many possible solutions, but I have included the >=P symbol because supposedly the math community has not agreed on an official explanation. A: The fishing trip consists of a grandfather, a father and a son. What are these three to do? n < |R|. Assume the earth is a perfect sphere. You have to use both cubes all the time. I think it's more than two days. the pronoun "you" in a question will always refer to the person to whom you are currently asking a question, not a predetermined person). I don't fully understand why this is so. You get to look at #1 first and decide whether to An infinite number of quarters are laid out before you on a table of infinite area. the eggs might break from the first floor, or might even survive a drop from the 100th floor -- you have no a priori information. A neighboring queen plots to kill the bad king, and sends a servant to poison the wine. Set up a map on a board and place pegs at the location of each town. Note 2: (1/8/2003 3:49PM Update) How to compute average running time? ANSWER. Cameron, of course, is jealous of Bernardo, because he has stolen Angelica's love away. If so, how many questions might you have to ask? Note 2: This is a problem that my research partner and I came across while studying error correcting codes. I am a fruit. The Next Essential Item For Parents To Stock Up On. Answer: They are a grandfather, father and son. There are no doors, no windows, no openings of any kind. Can you name the smallest city in Wales (less than 2,000 people live there)? Does the ant ever reach the racecar? Two weeks ago, I traveled to Montreal and it was an amazing experience. 1 min read. Solved. Note 2: (specific) Because of possible time conflicts, you must determine your questions ahead of time, rather than based on previous answers. orientation of the card was correct. What is the most clever / elegant solution you can devise? Note: A complete answer to the 2nd question should discuss two cases, one of which is a special case. Now you can ask the question after 60 seconds, and "infinite time" is not longer an issue. A duck is in a circular pond with a menacing cat outside. D.R. Repost-Vote-Recaption. He always extracts the lowest-numbered ball in the bucket. It can't be Ball 1; that was extracted after 1 minute. E.g. If this assertion is false (that is, some prisoners still haven't been to the living room), all 100 prisoners will be shot for their stupidity. How specifically do you execute the trick on a deck of maximal size N? Note: Anyone know how to solve this problem by comparing resistance to commute times of random walks on graphs? You decide to fill the bucket by throwing in all the balls, in order. Two weeks ago, I traveled to Montreal and it was an amazing experience. Devise an algorithm to solve this problem in general. The initial states of these light bulbs is unknown. 107. every month, he arranges the cubes so that the front faces show the current month's three letter abbreviation (e.g. So BEFORE YOU E-MAIL ME YOUR SOLUTION, check its average time to see if beats the 4000 day ballpark. The result is a secret; all you know is that the limit is always a positive integer. Show how airlines can cancel some city«town nonstop flight services leaving no city connected What is the optimal plan? I Have Water but no Fish. Hint: See the maximum minimum Hamming distance riddle for some powerful ideas. let us denote the set of receivers as R. the messages are designed such that if any n receivers get together, they can somehow pool their partial messages together to get a meaningful message -- alice's intended message. The three of them split the cost ten dollars each. How many questions must you ask to determine who is who? Assume the strings have been chosen such that the Hamming distance between *any* two strings is maximized. The titles in this riddle are taken after various member rankings you can earn in our wonderful riddle forum. Turkey awoke early in the morning, aroused by devilish laughter, only to see an impish looking homunculus sitting at the bottom of the bed next to a seemingly infinite pile of chips. Problem Source: Dr. William Kahan, Math H110 (honors linear algebra), UC Berkeley. Think of the origin as centered in a cube 2 units on a side. In the forum, quite a few people mentioned the clever solution of simply having the planning meeting in the central living room, and then asserting that everyone has been there on the first day of the random selection process. Then we can reshuffle the entire deck, you give me What is the minimum number of Dark Stars required to carry out this task, and why? The religious keeper of the web page The Premature Death of Rockstars argues that rock stars do not live as long as the general population. With only three questions, determine which god is which. Who took the Moonstone this time? The number of divisors of the number that is to be found (apart from 1 and itself) is greater than the sum of the numbers of the true statements. "Newcomb" refers to William A. Newcomb, a physicist at Lawrence Livermore Laboratory, who came up with the puzzle in 1960. Arrangements are incomplete at Hall Funeral Home and Crematory, Proctorville, Ohio. One way of doing this would be to just conjure "2"s and "1"s randomly off the top of his head, while making sure that in the end, the total number of "2"s equals the total number of "1"s. However, Two-Face doesn't trust his mind to be truly random. Remember that a cigarette has a thickness, and can't be treated as a line of infinitesimally small width. 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