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Equal products and sums (Posted on 2016-02-17) Difficulty: 4 of 5
I was shown a 4x4 matrix whose entries are distinct positive integers below 32, whose row sums are the same (say S), and whose column products are the same (P).

I believe that there are numerous solutions fitting the above definition, and challenge the solvers to find as many as possible - the values of S and P are up to you.

Rem : It is possible to find a solution or two without a computer, but listing all possible solutions is IMHO a hard nut even for a software-based approach.

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
re: computer solution -- a specific subset and the programCharlie2016-02-17 20:19:11
Solutioncomputer solutionCharlie2016-02-17 20:16:44
One possibilitySteve Herman2016-02-17 17:48:40
Process of eliminationSteve Herman2016-02-17 17:15:38
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