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I'm interested in generating a sort of magic square (or rather - magic cube), when all (or some) sums are known and also some numbers to put in are known.
E.g. create a square, where sums at each column are: 15,18,22,14,19 (from left to right), and numbers in square range from 3 to 8 (each number can appear more than once).
I'd be grateful for any help.