#ダイクストラ高速化弱め import heapq import sys input = sys.stdin.readline INF = 10 ** 18 N,M,K = map(int,input().split()) R = set([i-1 for i in map(int,input().split())]) lR = list(R) route = [[] for _ in [0]*N] edge = [0]*M st = set([0,N-1]) for i in range(M): A,B,C = map(int,input().split()) A -= 1; B -= 1 if(i in R): edge[i] = [A,B,C] st.add(A); st.add(B) route[A].append((B,C)) route[B].append((A,C)) def dijkstra(route,start,finish,n): path = [-1]*n q = [(0,start)] while(q): d,v = heapq.heappop(q) if(path[v] == -1): path[v] = d if(v == finish): break for nv,dist in route[v]: heapq.heappush(q,(d+dist,nv)) return path[finish] ans = INF rsum = sum(edge[i][2] for i in R) dist = {} dp = [[[INF] * 2 for _ in [0] * K] for _ in [0] * (1 << K)] for i in range(K): for j in range(2): p = edge[lR[i]][j] if((0,p) not in dist): dist[(0,p)] = dist[(p,0)] = dijkstra(route,0,p,N) dp[1 << i][i][j] = rsum + dist[(0,p)] for bit in range(1, 1 << K): for s in range(K): if not(bit & (1 << s)): continue for i in range(2): for t in range(K): if not(bit & (1 << t)): b = bit | (1 << t) for j in range(2): p = edge[lR[s]][i]; q = edge[lR[t]][j] if((p,q) not in dist): dist[(p,q)] = dist[(q,p)] = dijkstra(route,p,q,N) d = dp[bit][s][i ^ 1] + dist[(p,q)] if(dp[b][t][j] > d): dp[b][t][j] = d ans = INF for i in range(K): for j in range(2): p = edge[lR[i]][j]; q = N - 1 if((p,q) not in dist): dist[(p,q)] = dist[(q,p)] = dijkstra(route,p,q,N) d = dp[-1][i][j ^ 1] + dist[(p,q)] if(ans > d): ans = d print(ans)