Problem 1286. MatCAT - Reconstruct X from Its X-rays
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2 Comments
regarding the discussion question, my guess is that the only cases where the answer becomes unique are those 'trivial' single-vector or equivalent cases. More precisely those cases where min(nnz(row_sums),nnz(col_sums))<=1. The reasons is that if one solution exist where x(a,b)>0 and x(c,d)>0 (and a~=c and b~=d; i.e. they are not in the same row or column), then you could simply subtract one from x(a,b) and x(c,d), and add one to x(c,b) and x(a,d), and the result will also be a valid solution... thoughts?
Nice problem
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1 Comment
That's brilliant!
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1 Comment
Hello, I am a beginner. I tried a lot but couldn't figure out the solution. Can you please help me with this problem?
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1 Comment
I confess, I found the results using intlinprog.
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2 Comments
I would love to know how you came up with that.
I have no idea how you came up with this... So elegant.
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