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Problem C: Vito's familyBackgroundThe world-known gangster Vito Deadstone is moving to New York. He has a very big family there, all of them living in Lamafia Avenue. Since he will visit all his relatives very often, he is trying to find a house close to them.ProblemVito wants to minimize the to 阅读全文
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C: Optimal ParkingWhen shopping on Long Street, Michael usually parks his car at some random location, and then walks to the stores he needs. Can you help Michael choose a place to park which minimises the distance he needs to walk on his shopping round?<tex2html_verbatim_mark>Long Street is a 阅读全文
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Goldbach's Conjecture (II)Goldbach's Conjecture:For any even numberngreater than or equal to 4, there exists at least one pair of prime numbersp1andp2such thatn=p1+p2.This conjecture has not been proved nor refused yet. No one is sure whether this conjecture actually holds. However, one can 阅读全文
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Problem G: Simply EmirpAn integer greater than 1 is called a prime number if its only positive divisors (factors) are 1 and itself. Prime numbers have been studied over the years by a lot of mathematicians. Applications of prime numbers arise in Cryptography and Coding Theory among others.Have you t 阅读全文