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 ll;
typedef pair<ll, ll> pll;
#define fastio ios::sync_with_stdio(false), cin.tie(0)
#pragma GCC optimize("Ofast")
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define int long long
#define lowbit(x) x&-x
const int maxn = 1e5 + 5;
const int INF = 1e18;
int dp[maxn][32];
vector<pll> adj[maxn];
struct info{
int d, pos, st;
info(){}
info(int _d, int _pos, int _st) : d(_d), pos(_pos), st(_st){}
bool operator < (const info& other) const{
return d < other.d;
}
bool operator > (const info& other) const{
return d > other.d;
}
};
signed main(void){
int n, k, m;
cin>>n>>k>>m;
vector<int> a(k);
for(int i = 0; i < k; i++) cin>>a[i], a[i] --;
for(int i = 0; i < m; i++){
int a, b, w;
cin>>a>>b>>w;
a--, b--;
adj[a].eb(b, w);
adj[b].eb(a, w);
}
for(int i = 0; i < n; i++){
for(int j = 1; j < (1 << j); j++) dp[i][j] = INF;
}
priority_queue<info, vector<info>, greater<info>> q;
for(int i = 0; i < k; i++){
dp[a[i]][(1 << i)] = 0;
q.push(info(0, a[i], (1 << i)));
}
while(!q.empty()){
auto [d, pos, st] = q.top(); q.pop();
if(dp[pos][st] != d) continue;
for(auto [x, w] : adj[pos]){
for(int i = 0; i < (1 << k); i++){
if(dp[x][i | st] > dp[x][i] + d + w){
dp[x][i | st] = dp[x][i] + d + w;
q.push(info(dp[x][i | st], x, i | st));
}
}
}
}
int ans = INF;
for(int i = 0; i < n; i++) ans = min(ans, dp[i][(1 << k) - 1]);
cout<<ans<<"\n";
}
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