import sys
import io, os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline

import heapq
INF = 10**18
def dijkstra(s, edge):
    n = len(edge)
    dist = [INF]*n
    dist[s] = 0
    edgelist = []
    heapq.heappush(edgelist,(dist[s], s))
    while edgelist:
        minedge = heapq.heappop(edgelist)
        if dist[minedge[1]] < minedge[0]:
            continue
        v = minedge[1]
        for e in edge[v]:
            if dist[e[1]] > dist[v]+e[0]:
                dist[e[1]] = dist[v]+e[0]
                heapq.heappush(edgelist,(dist[e[1]], e[1]))
    return dist

def main():

    n, m, k = map(int, input().split())
    R = list(map(int, input().split()))
    R = [r-1 for r in R]
    toid = {}
    for i, r in enumerate(R):
        toid[r] = i

    g = [[] for i in range(n)]
    ABC = []
    for i in range(m):
        a, b, c = map(int, input().split())
        a, b = a-1, b-1
        g[a].append((c, b))
        g[b].append((c, a))
        if i in toid:
            ABC.append((a, b, c))

    dists = dijkstra(0, g)
    distt = dijkstra(n-1, g)
    D = []
    for i in range(k):
        a, b = ABC[i][0], ABC[i][1]
        dista = dijkstra(a, g)
        distb = dijkstra(b, g)
        D.append([dista,distb])


    dp = [[[INF]*2 for i in range(k)] for i in range(1<<k)]
    for i, (a, b, c) in enumerate(ABC):
        dp[1<<i][i][0] = dists[b]+c
        dp[1<<i][i][1] = dists[a]+c

    for s in range(1<<k):
        for i in range(k):
            if (s>>i)&1:
                continue
            ns = s|(1<<i)
            c = ABC[i][2]
            for j in range(k):
                if not ((s>>j)&1):
                    continue
                if i == j:
                    continue
                for x in range(2):
                    for y in range(2):
                        dp[ns][i][x] = min(dp[ns][i][x], dp[s][j][y]+D[i][1-x][ABC[j][y]]+c)
    ans = INF
    for i in range(k):
        for x in range(2):
            v = ABC[i][x]
            ans = min(ans, dp[(1<<k)-1][i][x]+distt[v])
    print(ans)

if __name__ == '__main__':
    main()