It's tournament time!
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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Faulty test suite. The 'for v = 1:10' in problem 5 has a semicolon after it.
Nice problem, but its description could be improved. Adding a link like https://en.wikipedia.org/wiki/Single-elimination_tournament would help. Moreover I would add that at the first round competitor #1 plays against competitor #2, competitor #3 plays against competitor #4, ... and competitor #n-1 plays against competitor #n (no wrap around or modular arithmetic; or else there would be 2 possible starting configurations).