Problem 1286. MatCAT - Reconstruct X from Its X-rays
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?
See also this: https://it.mathworks.com/matlabcentral/cody/problems/47618
There is a nice video explaining how to solve these problems.
Hello, I am a beginner. I tried a lot but couldn't figure out the solution. Can you please help me with this problem?
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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