I'm not sure what is the point of eliminating 'ifs'? At any rate they can be easily replaced by e.g. 'while' loops, so in my opinion you should either eliminate both of them or none.
Again, the best way to generate such a sequence is using depth-first search or recursion. By prohibiting the usage of IFs, all solutions are inefficient (because we can't cut the tree, and are forced to follow all branches).
Extract leading non-zero digit
Find the sum of the elements in the "second" diagonal
Basic arrays operations.
Mirror Image matrix across anti-diagonal
~~~~~~~ WAVE ~~~~~~~~~
Solve Sudoku puzzle step by
Compute the intersect point of line and plan
Find the right number make the equation
Seperate array to small section according to its index position
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