mod = 1000000007 eps = 10**-9 inf = 10**18 def main(): import sys from collections import deque input = sys.stdin.buffer.readline N, Q, C = map(int, input().split()) adj = [[] for _ in range(N+1)] for _ in range(N-1): a, b, c = map(int, input().split()) adj[a].append((b, c)) adj[b].append((a, c)) X = list(map(int, input().split())) dp = [inf] * (N+1) dp[X[0]] = 0 for i in range(Q-1): u0 = X[i] v0 = X[i+1] que = deque() que.append(v0) seen = [-1] * (N+1) seen[v0] = 0 par = [0] * (N+1) child = [[] for _ in range(N+1)] seq = [] while que: v = que.popleft() seq.append(v) for u, c in adj[v]: if seen[u] == -1: seen[u] = seen[v] + c par[u] = v child[v].append(u) que.append(u) seq.reverse() dp_new = [inf] * (N+1) dp_tree = [inf] * (N+1) for j in range(1, N+1): if dp[j] == inf: continue dp_new[j] = dp[j] + seen[u0] dp_tree[u0] = min(dp_tree[u0], dp[j] + seen[u0]) dp_tree[j] = min(dp_tree[j], dp[j] + C + seen[j]) for v in seq: for u in child[v]: dp_tree[v] = min(dp_tree[v], dp_tree[u]) dp_new[v] = min(dp_new[v], dp_tree[v]) dp = dp_new print(min(dp)) if __name__ == '__main__': main()