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Given a single-elimination tournament with 2^N competitors, compute the 2^N by 2^N matrix M such that M(i,j)=1 iff competitor i might play competitor j in round R, where 1<=R<=N. (In each round each surviving competitor plays his "next door neighbor" in the bracket.)

For example, if N=1, R=1 then

M = [ 0 1 1 0]

or if N=2, R=2 then

M = [ 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 ]

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Last solution submitted on Dec 23, 2014

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