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 <vector>
#include <algorithm>
#include <queue>
#define ll long long
#define pii pair<ll, int>
#define fst first
#define snd second
#define vpi vector<pii>
#define ppi pair<ll, pii>
const ll INF = 1e16;
using namespace std;
priority_queue<pii> pq;
int n, k, m, spc[6];
ll dst[1 << 4][100001];
vpi adj[100001];
ll res = INF;
int main()
{
ios :: sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n >> k >> m;
for (int i = 0; i < k; i++) {cin >> spc[i]; spc[i]--;}
k--;
for (int i = 0; i < m; i++)
{
int u, v, w; cin >> u >> v >> w;
adj[u - 1].push_back({w, v - 1});
adj[v - 1].push_back({w, u - 1});
}
for (int i = 0; i < (1 << k); i++)
{
for (int j = 0; j < n; j++) {dst[i][j] = INF;}
}
for (int i = 0; i < k; i++) {dst[1 << i][spc[i]] = 0;}
for (int i = 1; i < (1 << k); i++)
{
for (int j = 0; j < n; j++)
{
for (int s = i; s; s = (s - 1) & i)
{
dst[i][j] = min(dst[i][j], dst[s][j] + dst[i ^ s][j]);
}
pq.push({-dst[i][j], j});
}
while (pq.size())
{
int u = pq.top().snd; ll d = -pq.top().fst; pq.pop();
if (dst[i][u] == d)
{
for (auto v : adj[u])
{
if (dst[i][u] + v.fst < dst[i][v.snd])
{
dst[i][v.snd] = dst[i][u] + v.fst;
pq.push({-dst[i][v.snd], v.snd});
}
}
}
}
}
cout << dst[(1 << k) - 1][spc[k]] << "\n";
return 0;
}
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