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.
Solution CommentsShow comments
Problem Recent Solvers95
Find the sides of an isosceles triangle when given its area and height from its base to apex
More from this Author50
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!Start Hunting!