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).
Roll the Dice!
Twins in a Window
Back to basics 11 - Max Integer
Back to basics 26 - Keywords
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Seperate array to small section according to its index position
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