Consider using a small tolerance for the solution. My program coincides with your test cases up to 3e-16. That ought to be good enough, I think :)
My solution error was at 2.22e-16. Still not good enough, though.
it would be useful to say that you want solution in integer! (althougth I do not understand why)
Obviously round(A\b) is the alledgedly correct answer which is in general different from the numerical approximation of the solution.
I wonder whether this is intended?
Assumes the solutions are always integers. The tests would ideally use a tolerance in checking the solutions.
Magic is simple (for beginners)
Generate a NaN...on purpose
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