For some Data structures,dynamic insertions might not be available if you use a simple function to build it.But as a matter of fact, using some skills based on the function to rebuild can make dynamic insertions of some Data structures available Here are some examples.

1.Binary grouping

It means that you can make the insertions in groups,for $$$n = \sum 2 ^ {a_i}(a_i > a_{i + 1})$$$,We can make $$$n$$$ insertions into groups,each group has $$$2^{a_k}$$$ insertions,in this way we divided insertions to $$$\log_2{n}$$$ groups.