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 <bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef long double ld;
#define pb push_back
#define pf push_front
#define fi first
#define se second
const ll mod = 1e9+7, mxn = 1e5+7;
ll n, k, m, d[1LL<<5][mxn];
vector<vector<pair<ll,ll>>> g(mxn);
struct node {ll u, dist;};
struct cmp {bool operator() (node a, node b) {return a.dist > b.dist;}};
void dijkstra(ll id)
{
priority_queue<node,vector<node>,cmp> pq;
for (ll i = 1; i <= n; i++) pq.push({i,d[id][i]});
while (!pq.empty())
{
node u = pq.top(); pq.pop();
if (d[id][u.u] < u.dist) continue;
for (pair<ll,ll> i : g[u.u])
{
if (d[id][i.fi] > d[id][u.u]+i.se)
{
d[id][i.fi] = d[id][u.u]+i.se;
pq.push({i.fi,d[id][i.fi]});
}
}
}
}
signed main()
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// freopen("test.inp","r",stdin); freopen("test.out","w",stdout); freopen("test.err","w",stderr);
cin >> n >> k >> m;
for (ll i = 0; i < (1LL<<k); i++) for (ll j = 1; j <= n; j++) d[i][j] = 1e18;
for (ll i = 0; i < k; i++)
{
ll x; cin >> x;
d[1LL<<i][x] = 0;
}
for (ll i = 1; i <= m; i++)
{
ll a, b, w; cin >> a >> b >> w;
g[a].pb({b,w}); g[b].pb({a,w});
}
for (ll i = 0; i < (1LL<<k); i++)
{
for (ll j = i; j > 0; j = (j-1)&i)
{
for (ll kk = 1; kk <= n; kk++) d[i][kk] = min(d[i][kk],d[i^j][kk]+d[j][kk]);
}
dijkstra(i);
}
ll opt = 1e18;
for (ll i = 1; i <= n; i++) opt = min(opt, d[(1LL<<k)-1][i]);
cout << opt;
}
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