Are the following condition sufficient for checking if solution of Sudoku with (extended output) is valide :
- sum of values in each row, column and subsquare is equal to 45 and
- sum of squares of values in each row, column and subsquare is equal to 285
By extended output I mean that the error could be made, such that each value could be from range <-1000,1000> for example. As you see it is some kind of generalization of possible output of sudoku, but rules of Sudoku are unchanged.
If you need additional information or want to know my motivation please ask.
By extended output you mean integers right?
Otherwise the equations $x+y+z =45$ and $x^2+y^2+z^2=285$ have real solution see here.