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;
const ll maxn=2e5+10;
const ll inf=1e15;
ll n,k,m;
ll spec[6];
vector<pair<ll,ll> > g[maxn];
ll nenaj[(1<<6)][maxn];
void dijkstra(ll poc,ll* dist){
priority_queue<pair<ll,ll> > pq;
pq.push(pair<ll,ll>(0,poc));
for(ll i=1;i<=n;i++) dist[i]=inf;
dist[poc]=0;
while(!pq.empty()){
auto tren=pq.top();
pq.pop();
tren.first*=-1;
if(dist[tren.second]<tren.first) continue;
for(auto i:g[tren.second]){
if(dist[i.first]>tren.first+i.second) pq.push(pair<ll,ll>(-tren.first-i.second,i.first));
dist[i.first]=min(dist[i.first],tren.first+i.second);
}
}
}
int main(){
cin>>n>>k>>m;
for(ll i=0;i<k;i++) cin>>spec[i];
for(ll i=0;i<m;i++){
ll u,v,c;
cin>>u>>v>>c;
g[u].push_back({v,c});
g[v].push_back({u,c});
}
for(ll i=0;i<(1<<k);i++) for(ll j=1;j<=n;j++) nenaj[i][j]=inf;
for(ll i=0;i<k;i++) nenaj[1<<i][spec[i]]=0;
for(ll mask=1;mask<(1<<k);mask++){
ll mask1=mask;
mask1--;
mask1&=mask;
while(mask1>0){
ll mask2=mask^mask1;
for(ll sred=1;sred<=n;sred++) nenaj[mask][sred]=min(nenaj[mask][sred],nenaj[mask1][sred]+nenaj[mask2][sred]);
mask1--;
mask1&=mask;
}
priority_queue<pair<ll,ll> > pq;
for(ll sred=1;sred<=n;sred++) pq.push(pair<ll,ll>(-nenaj[mask][sred],sred));
while(!pq.empty()){
auto tren=pq.top();
pq.pop();
tren.first*=-1;
if(nenaj[mask][tren.second]<tren.first) continue;
for(auto i:g[tren.second]){
if(nenaj[mask][i.first]>tren.first+i.second) pq.push(pair<ll,ll>(-tren.first-i.second,i.first));
nenaj[mask][i.first]=min(nenaj[mask][i.first],tren.first+i.second);
}
}
}
cout<<*min_element(nenaj[(1<<k)-1]+1,nenaj[(1<<k)-1]+n+1);
return 0;
}
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