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std::set's lower_bound() is optimized better than the generic implementation of std::lower_bound() std::lower_bound() works best on random access iterators, where the number of comparisons can be logarithmic. However, since std::set's iterators are bidirectional iterators, the comparisons will actually be linear in practice when using std::lower_bound(). So, we can use std::set's version which is guaranteed to be logarithmic.