Define a function on the positive integers recursively by f(1)=2, f(n)=f(n−1)+1 if n is even, and f(n)=f(n−2)+2 if n is odd and greater than 1. What is f(2017)?<spanclass=′latex−bold′>(A)</span>2017<spanclass=′latex−bold′>(B)</span>2018<spanclass=′latex−bold′>(C)</span>4034<spanclass=′latex−bold′>(D)</span>4035<spanclass=′latex−bold′>(E)</span>4036