INF = 10 ** 18 def dijkstra(s, n, graph): import heapq dist = [INF] * n dist[s] = 0 bef = [0] * n bef[s] = s hq = [(0, s)] #距離、地点を記録したヒープを作る heapq.heapify(hq) visit = [False] * n #訪れたかの判定 while(len(hq) > 0): c, v = heapq.heappop(hq) #ヒープから地点を1つ持ってくる visit[v] = True if c > dist[v]: continue for to, cost in graph[v]: if visit[to] == False and dist[v] + cost < dist[to]: dist[to] = cost + dist[v] bef[to] = v heapq.heappush(hq, (dist[to], to)) ''' return bef ''' return dist n, m, k = map(int,input().split()) r = list(map(int,input().split())) graph = [[] for _ in range(n)] edge = [None] * k dist = [[] for _ in range(n)] for i in range(m): a, b, c = map(int,input().split()) a -= 1 b -= 1 if b < a: a, b = b, a graph[a].append((b, c)) graph[b].append((a, c)) if i + 1 in r: edge[r.index(i + 1)] = (a, b, c) dist[0] = dijkstra(0, n, graph) dist[n - 1] = dijkstra(n - 1, n, graph) for x, y, z in edge: dist[x] = dijkstra(x, n, graph) dist[y] = dijkstra(y, n, graph) dp = [[[INF] * 2 for _ in range(k + 1)] for _ in range(2 ** k + 1)] for i in range(k): for j in range(2): dp[2 ** i][i][j] = dist[0][edge[i][1 - j]] + edge[i][2] for bit in range(2 ** k): for now in range(k): if not (1 & (bit >> now)): continue for to in range(k): if (1 & (bit >> to)): continue for v in range(2): for u in range(2): dp[bit + 2 ** to][to][v] = min(dp[bit + 2 ** to][to][v], dp[bit][now][u] + dist[edge[now][u]][edge[to][1 - v]] + edge[to][2]) ans = INF for i in range(k): for v in range(2): ans = min(ans, dp[2 ** k - 1][i][v] + dist[n - 1][edge[i][v]]) print(ans)