#include "bits/stdc++.h"
using namespace std;
#define SPEED ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL);
#define pb push_back
#define fi first
#define se second
#define endl "\n"
#define ALL(x) x.begin(), x.end()
#define sz(x) x.size()
#define intt long long
// #define intt int
const intt mod = 1e9 + 7;
const intt mxN = 4e5 + 5;
const intt inf = 1e18 + 10;
struct DSU {
vector<intt> parent, sze;
DSU(intt N) {
parent.resize(N + 1);
sze.resize(N + 1);
for(intt i = 1; i <= N; i++) {
parent[i] = i;
sze[i] = 1;
}
}
intt root(intt x) {
if(parent[x] == x) return x;
else return parent[x] = root(parent[x]);
}
void unite(intt a, intt b) {
a = root(a);
b = root(b);
if(a == b) return;
if(sze[a] < sze[b]) swap(a,b);
parent[b] = a;
sze[a] += sze[b];
}
};
vector<vector<pair<intt,intt>>> graph;
vector<intt> important(mxN), koko(mxN);
vector<array<intt,3>> edges;
bool cmp(array<intt,3> &a, array<intt,3> &b) {
if(a[2] == b[2]) {
if(a[1] == b[1]) return a[0] < b[0];
return a[1] < b[1];
}
return a[2] < b[2];
}
vector<intt> path;
void dfs(intt node, intt parent) {
path.pb(node);
for(auto u : graph[node]) {
if(u.fi != parent) {
dfs(u.fi, node);
}
}
if(important[node]) {
for(intt i : path) koko[i] = 1;
}
path.pop_back();
}
void solve() {
intt N, M, K;
cin >> N >> K >> M;
graph.assign(N + 1, vector<pair<intt,intt>> {});
DSU dsu(N + 51);
intt root = 0;
for(intt i = 0; i < K; i++) {
intt x; cin >> x; important[x] = 1;
if(i == 0) root = x;
}
for(intt i = 0; i < M; i++) {
intt a, b, w;
cin >> a >> b >> w;
edges.pb({a, b, w});
}
sort(ALL(edges), cmp);
intt cost = 0;
for(intt i = 0; i < M; i++) {
intt a = edges[i][0], b = edges[i][1], w = edges[i][2];
if(dsu.root(a) != dsu.root(b)) {
dsu.unite(a, b);
graph[a].pb({b, w});
graph[b].pb({a, w});
cost += w;
}
}
// cout << cost << endl;
dfs(root, root);
for(intt i = 1; i <= N; i++){
// cout << koko[i] << " ";
if(!koko[i]) {
for(auto u : graph[i]) cost -= u.se;
}
}
// cout << endl;
cout << cost << endl;
}
signed main() {
SPEED;
intt tst = 1;
// cin >> tst;
while (tst--) {
solve();
}
}
/*
p00000
*/
