Pity that eval is forbidden - I had quite an elegant solution using it.
Which doors are open?
Increment a number, given its digits
Get the length of a given vector
Find the biggest empty box
Duplicate each element of a vector.
Order of things - 4
Bleed non-zeros to the right using REGEXP, and that sort of cheatcodess...
Insert certain elements into a vector.
Order of things - 1
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