I don't think you have a complete statement of the problem. Why, in the first example, are arrangements like 1 1 2 excluded? And you only accept the arrangements in a particular order. How do you define the order?
the data ascended by column,when the first column is the same, sort by the second column,...
Thanks - and I realize now that 1 1 2 is not excluded; I just wasn't looking carefully.
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).
Are all the three given point in the same line?
Determine if input is a perfect number
Largest Twin Primes
Output any real number that is neither positive nor negative
Edges of a n-dimensional Hypercube
Determine if input is a Narcissistic number
Put m balls into n boxes (again)
Return fibonacci sequence do not use loop and condition
Successive zeros (harder)
Compute the intersect point of line and plan
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