Bob wants to visit a new country called sayadpur. There are N cities(1, 2, 3….., N) in sayadpur, and they are connected by n-1 undirected roads. You can go from one city to any other city using these roads. Each city except city 1 is directly connected with at most two cities. Bob wants to start his journey from a city and then move to any adjacent city. In his journey, he does not want to visit a city twice. For visiting a city he has to pay a cost. Suppose he visits total “k” cities and the cost of those cities are $a_1,a_2,…. a_k$ . The overall cost will be the bitwise “or” of those costs ($a_1 | a_2 |a_3 |…. | a_k$). You have to find the maximum overall cost.

Input

First-line there is a number $N$ ( $1 ≤ N ≤ 10^5$ ). Each of the next N-1 lines contains two integers u and v (1 ≤ u,v ≤ n, u≠v), denoting an edge connecting vertex u and vertex v. Next line contains N integers $a_1,a_2,.. a_N$. The first element is the cost of city number 1, the second element is the cost of city number 2 city and so on. (1 ≤ $a_i$ ≤ 2047, 1 ≤ i ≤ N)