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A subset S of {1,2,…,n} is said to be packed if whenever i,j∈S the number ⌊(i+j)/2⌋ is also in S. Determine how many subsets of...Asked by lin
A subset S of {1,2,…,n} is said to be packed if whenever i,j∈S the number ⌊(i+j)/2⌋ is also in S. Determine how many subsets of {1,2,…,25} are packed.
Details and assumptions
i and j need not be distinct. If i=j is in the set, then clearly so is ⌊(i+j)2⌋
Details and assumptions
i and j need not be distinct. If i=j is in the set, then clearly so is ⌊(i+j)2⌋
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Answered by
exactly
brilliant qn again! Hint: consecutive
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