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 Bulgarian National Olympiad 2006

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Posts : 100
Join date : 2009-11-05
Age : 34
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PostSubject: Bulgarian National Olympiad 2006   Tue Feb 23, 2010 4:08 pm

[Aleksandar Ivanov] Consider the set A={1,2,3,...,2^n}, n\geq 2. Find the number of the subsets B of A, such that if the sum of two elements of A is a power of 2 then exactly one of them belongs to B. bounce
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