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>
#define ll long long
#define all(x) x.begin(), x.end()
using namespace std;
const int maxn = 1e5 + 5;
int n, k, m;
int chosen[maxn];
vector<pair<int,int>> adj[maxn];
vector<array<int, 3>> edges;
template<typename T>
bool minimize(T& a, const T& b){
if(a > b){
return a = b, true;
} return false;
}
vector<int> ok;
#define iii tuple<ll,int,int>
ll d[32][maxn];
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
// freopen("test.inp", "r", stdin);
// freopen("test.out", "w", stdout);
cin >> n >> k >> m;
priority_queue<iii, vector<iii>, greater<iii>> pq;
ll oo = 2e18;
for (int i = 1; i <= n; i++)
for (int j = 1; j < 1 << k;j++)
d[j][i] = oo;
for (int i = 1, x; i <= k; i++)
{
cin >> x;
chosen[x] = 1;
ok.emplace_back(x);
d[1 << (i - 1)][x] = 0;
pq.emplace(0, x, 1 << (i - 1));
}
for (int i = 1, u, v, w; i <= m; i++)
cin >> u >> v >> w,
adj[u].emplace_back(v, w),
adj[v].emplace_back(u, w);
int full = (1 << k) - 1;
while (pq.size())
{
auto to = pq.top();
pq.pop();
ll val; int u, mask;
tie(val, u, mask) = to;
if (val != d[mask][u]) continue;
for (auto it : adj[u]) {
int v, w; tie(v, w) = it;
for (int supr = mask; supr < (1 << k); supr = (supr + 1) | mask) {
if (d[supr ^ mask][v] == oo) continue;
if (d[mask][u] + d[supr ^ mask][v] + w < d[supr][v]) {
d[supr][v] = d[mask][u] + d[supr ^ mask][v] + w;
pq.emplace(d[supr][v], v, supr);
}
}
}
}
ll res = oo;
for (int i : ok)
res = min(res, d[full][i]);
cout << res;
}
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