Problem 2254. Possible Opponents Matrix for single-elimination tournament
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 ]
Solution Stats
Problem Comments
-
2 Comments
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).
Solution Comments
Show commentsProblem Recent Solvers11
Suggested Problems
-
Which values occur exactly three times?
4996 Solvers
-
Find common elements in matrix rows
2565 Solvers
-
4353 Solvers
-
265 Solvers
-
Join Strings with Multiple Different Delimiters
168 Solvers
More from this Author3
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!