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) if not(1 <= A+1 <= N and 1 <= B+1 <= N and 1 <= C <= 10**4): print((i,A+1,B+1,C)) exit(1) route[A].append((B,C)) route[B].append((A,C)) def dijkstra(route): dist = {} for i in st: q = [(0,i)] st2 = set([]) while(q and len(st2) < len(st)): d,v = heapq.heappop(q) if((i,v) not in dist): if(v in st): st2.add(v) dist[(i,v)] = d for nv,nd in route[v]: heapq.heappush(q,(d + nd,nv)) return dist ans = INF rsum = sum(edge[i][2] for i in R) dist = dijkstra(route) dp = [[[INF] * 2 for _ in [0] * K] for _ in [0] * (1 << K)] for i in range(K): for j in range(2): dp[1 << i][i][j] = rsum + dist[(0,edge[lR[i]][j])] 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): d = dp[bit][s][i ^ 1] + dist[(edge[lR[s]][i],edge[lR[t]][j])] if(dp[b][t][j] > d): dp[b][t][j] = d ans = INF for i in range(K): for j in range(2): d = dp[-1][i][j ^ 1] + dist[(edge[lR[i]][j],N - 1)] if(ans > d): ans = d print(ans)