import sys from sys import stdin from collections import deque sys.setrecursionlimit(1 << 25) def main(): import sys input = sys.stdin.read data = input().split() idx = 0 N, K = int(data[idx]), int(data[idx+1]) idx +=2 C = list(map(int, data[idx:idx+K])) idx +=K D = list(map(int, data[idx:idx+K])) idx +=K edges = [[] for _ in range(N+1)] for _ in range(N-1): a, b = int(data[idx]), int(data[idx+1]) edges[a].append(b) edges[b].append(a) idx +=2 LOG = 20 parent = [[-1]*(N+1) for _ in range(LOG)] depth = [0]*(N+1) stack = [(1, -1, 0)] while stack: v, p, d = stack.pop() parent[0][v] = p depth[v] = d for u in edges[v]: if u != p: stack.append((u, v, d+1)) for k in range(1, LOG): for v in range(1, N+1): if parent[k-1][v] != -1: parent[k][v] = parent[k-1][parent[k-1][v]] def lca(u, v): if depth[u] < depth[v]: u, v = v, u for k in range(LOG-1, -1, -1): if parent[k][u] != -1 and depth[parent[k][u]] >= depth[v]: u = parent[k][u] if u == v: return u for k in range(LOG-1, -1, -1): if parent[k][u] != parent[k][v]: u = parent[k][u] v = parent[k][v] return parent[0][u] left_LCA = [ -1 ] * (K + 2) current_LCA = -1 for l in range(2, K+2): if l-1 == 1: current_LCA = C[0] else: current_LCA = lca(current_LCA, C[l-2]) left_LCA[l] = current_LCA right_LCA = [ -1 ] * (K +2) current_LCA = -1 for r in range(K, 0, -1): if r == K: current_LCA = C[K-1] else: current_LCA = lca(current_LCA, C[r-1]) right_LCA[r] = current_LCA total_D = sum(D) prefix = [0]*(K+1) for i in range(1, K+1): prefix[i] = prefix[i-1] + D[i-1] X_list = [] optional_case = True l_full = K + 1 if l_full <= K+1 and left_LCA[l_full] != -1: T = left_LCA[l_full] sum_S = total_D depth_T = depth[T] X = sum_S + depth_T X_list.append(X) for l in range(1, K+1): for r in range(l, K+1): if l == 1 and r == K: X = -10**10 X_list.append(X) continue has_left = l > 1 has_right = r < K T = -1 if has_left and has_right: l_lca = left_LCA[l] r_lca = right_LCA[r+1] T = lca(l_lca, r_lca) elif has_left: T = left_LCA[l] elif has_right: T = right_LCA[r+1] else: assert False, "Should be handled by l ==1 and r==K case" sum_lr = prefix[r] - prefix[l-1] sum_S = total_D - sum_lr depth_T_val = depth[T] X = sum_S + depth_T_val X_list.append(X) M = K*(K+1)//2 +1 X_list.sort() median_pos = (M +1) //2 -1 print(X_list[median_pos]) if __name__ == "__main__": main()