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).
Remove the small words from a list of words.
Spot the rectangle
Generate a vector like 1,2,2,3,3,3,4,4,4,4
Create Volcano (or Atoll) martix. It is an extension of Bullseye matrix problem.
Determine if input is a perfect number
Make an anonymous function that has variable output
Put m balls into n boxes
Return fibonacci sequence do not use loop and condition version 2
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