For me it is this one.
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For me it is this one.
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kinetic segtree
For me it's the Round-Square Tree data structure. I use it almost every day but not many people know about it.
I'm not sure, but I am assuming you are referring to block-tree. One can see Codeforces blog on this topic.
Implicit Persistent Treap Beats. UUUU
How do you do persistent Beats? Doesn't the potential method fall apart?
i have no idea :)
Putting my fist into my mouth
gauging my eyes out
How to mod multiply two large numbers in C++.
bitset
For me it's this
Segment tree, but get this: with lazy propagation
Also bitwise trie (if you consider that more advaned than the segment tree)
math
Are you DottedCaculator on AoPS?
Binary Search
You know algorithm floyd? Most of people just memorize it without understading and there is a special order of for's ( loops ). But instead of memorizing the correct order you can just write them in random order and copy past it three times in you code it will work correctly!
virtual tree / auxiliary tree (however I like to call it an LCA tree)
Binary search
Let $$$f(x)$$$ be a polynomial with non-negative integer coefficients for which $$$f(10)$$$ is prime. If the coefficients of $$$f(x)$$$ are at most $$$49598666989151226098104244512918$$$, then $$$f(x)$$$ is irreducible.
I hope I will get to use this theorem in a real programming contest one day :(
Stop stressing over so much for EJOI. You don't need to learn anything new. Graph bundling
Lagrange interpolation