import sys sys.setrecursionlimit(10**6) int1 = lambda x: int(x)-1 p2D = lambda x: print(*x, sep="\n") def II(): return int(sys.stdin.buffer.readline()) def MI(): return map(int, sys.stdin.buffer.readline().split()) def MI1(): return map(int1, sys.stdin.buffer.readline().split()) def LI(): return list(map(int, sys.stdin.buffer.readline().split())) def LI1(): return list(map(int1, sys.stdin.buffer.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def BI(): return sys.stdin.buffer.readline().rstrip() def SI(): return sys.stdin.buffer.readline().rstrip().decode() # dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] dij = [[(-1, 0), (1, 0)], [(0, -1), (0, 1)]] inf = 10**16 # md = 998244353 md = 10**9+7 class UnionFind: def __init__(self, n): self.state = [-1] * n # self.size_table = [1] * n # cntはグループ数 # self.cnt = n def root(self, u): v = self.state[u] if v < 0: return u self.state[u] = res = self.root(v) return res def merge(self, u, v): ru = self.root(u) rv = self.root(v) if ru == rv: return du = self.state[ru] dv = self.state[rv] if du > dv: ru, rv = rv, ru if du == dv: self.state[ru] -= 1 self.state[rv] = ru # self.cnt -= 1 # self.size_table[ru] += self.size_table[rv] return n,m,k=MI() abc=LLI(m) uf=UnionFind(n) keep=[False]*m for _ in range(k): i=II()-1 keep[i]=True a,b,c=abc[i] uf.merge(a-1,b-1) cabi=[(c,a-1,b-1,i) for i,(a,b,c) in enumerate(abc)] cabi.sort(key=lambda x:x[0]) ans=0 for c,a,b,i in cabi: if keep[i]:continue if uf.root(a)==uf.root(b): ans+=c else: uf.merge(a,b) print(ans)