What is the complexity of set_intersection in C++?

Question

What is the complexity of the following code?

set<int> S1, S2, ans;
set_intersection(S1.begin(), S1.end(), S2.begin(), S2.end(), inserter(ans, ans.begin()))

where S1 and S2 are some non_empty sets and ans is an empty set.

I know that inserting a sorted range into a set is linear; but is inserting using inserter linear too?

score 10 · Accepted Answer · answered Feb 10 '12 at 07:45

10

The inserter remembers where it last inserted each item and tries to insert the next item at the same place. This is O(1) if it's the right place.

Which means copying a sorted range to the inserter is linear overall, so you're good here.

answered Feb 10 '12 at 07:45

Alan Stokes

I'm a bit confused: isn't O(1) constant instead of linear? – Antonio Pérez Feb 10 '12 at 08:37
2

@AntonioPérez: It's constant per insertion; linear overall. – Billy ONeal Feb 10 '12 at 08:41

1 Answers1