I will suggest the following as the top four
Geometry
Mathematics
Calculus
Dynamic Programming
What do you think ? you can suggest too.
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Math,with Calculus.
I can't decide it. But, one of the most complicated data structure that I have ever seen in programming contest is "Dynamic connectivity(O(log^2N) per query)".
online?
Yes, It support edge insert/erase with online. https://en.wikipedia.org/wiki/Dynamic_connectivity#Fully_dynamic_connectivity
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