This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <climits>
#include <queue>
using namespace std;
typedef long long int Z;
int n, k, m;
vector<int> imp;
vector<vector<pair<int, Z>>> G;
Z d[32][202020];
Z huge = LLONG_MAX / 3;
bool seen[202020];
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n >> k >> m;
imp.resize(k);
for (int i = 0; i < k; i++) {
cin >> imp[i];
--imp[i];
}
G.resize(n);
for (int i = 0; i < m; i++) {
int a, b;
Z c;
cin >> a >> b >> c;
--a;
--b;
G[a].emplace_back(b, c);
G[b].emplace_back(a, c);
}
fill((Z*)d, (Z*)d + 32 * 202020, huge);
for(int i = 0; i < k; i++) {
d[1 << i][imp[i]] = 0;
}
priority_queue<pair<Z, int> > Q;
for (int c = 1; c < (1 << k); c++) {
for (int a = c; a; a = (a - 1) & c) {
int b = c ^ a;
if (b > a) continue;
for (int v = 0; v < n; v++)
d[c][v] = min(d[c][v], d[a][v] + d[b][v]);
}
fill(seen, seen + n, false);
for (int v = 0; v < n; v++) {
if (d[c][v] == huge) continue;
Q.emplace(-d[c][v], v);
}
while (!Q.empty()) {
Z cost = -Q.top().first;
int v = Q.top().second;
Q.pop();
if (seen[v]) continue;
seen[v] = true;
for (auto edge : G[v]) {
Z ec = cost + edge.second;
if (ec < d[c][edge.first]) {
d[c][edge.first] = ec;
Q.emplace(-ec, edge.first);
}
}
}
}
Z res = d[(1 << k) - 1][imp[0]];
cout << res << '\n';
return 0;
}
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