Let x1,x2,…,xn be a positive integer sequence such that each term is less than or equal to 2001 and for every i≥3, xi=∣xi−1−xi−2∣. What is the largest possible value of n?<spanclass=′latex−bold′>(A)</span>1000<spanclass=′latex−bold′>(B)</span>2001<spanclass=′latex−bold′>(C)</span>3002<spanclass=′latex−bold′>(D)</span>4003<spanclass=′latex−bold′>(E)</span>None of the preceding