Well I just found this wierd thing when I was doing the problem Codeforces Round 905 (Div. 3) Prob.D When I use std::find(set.begin(), set.end(), value) or std::lower_bound(set.begin(), set.end(), value), I would get a TLE. But instead of using that, when I replace them with set.find(value) or set.lower_bound(value) it passed smoothly and worked as expected. Why would this happened? Is there any difference between these two approaches?
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If you look closely on documentation on cppreference you will see that the function std::lower_bound works in linear time if container iterators are not RandomAccess. Set iterators are Bidirectional. std::find works always in linear time. So set.find and set.lower_bound are coded specifically for set and they work in $$$O(\log n)$$$ time.