N,M,K=map(int,input().split())
ROAD=[list(map(int,input().split())) for i in range(M)]
exc=[int(input()) for i in range(K)]

S=[0 for i in range(M+1)]
for e in exc:
    S[e]=1

SAMELIST=[i for i in range(N+1)]
def find(a):
    while SAMELIST[a]!=a:
        a=SAMELIST[a]
    return a

def Union(x,y):
    if find(x)!=find(y):
        SAMELIST[find(x)]=min(find(y),find(x))
        SAMELIST[find(y)]=min(find(y),find(x))
        SAMELIST[x]=min(find(y),find(x))
        SAMELIST[y]=min(find(y),find(x))

for e in exc:
    Union(ROAD[e-1][0],ROAD[e-1][1])

from collections import defaultdict
EDGE=defaultdict(int)

ANS=0
for i in range(M):
    a,b,c=ROAD[i]
    if a>b:
        a,b=b,a
    if find(a)==find(b) and S[i+1]!=1:
        ANS+=c
        continue
    elif find(a)==find(b):
        continue
    
    elif EDGE[find(a),find(b)]!=0:
        if EDGE[find(a),find(b)]>c:
            ANS+=EDGE[find(a),find(b)]
            EDGE[find(a),find(b)]=c
        else:
            ANS+=c
    else:
        EDGE[find(a),find(b)]=c

EDGE=sorted(list(EDGE.items()),key=lambda x:x[1])

from collections import deque
QUE=deque(EDGE)

while QUE:
    (a,b),cost=QUE.popleft()
    if find(a)==find(b):
        ANS+=cost
    else:
        Union(a,b)

print(ANS)