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?
I confess, I found the results using intlinprog.
I would love to know how you came up with that.
Find the sum of all the numbers of the input vector
Test if a Number is a Palindrome without using any String Operations
Back to basics 13 - Input variables
String substitution, sub problem to cryptoMath
Make a run-length companion vector
Convert hex color specification to MATLAB RGB
The 17x17 Problem
Give a matrix that matches itself when rotated
Frobenius McNugget Factorization
Placing Beads Neatly in a Box
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