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;
const long long MXN=1e5+10;
const long long INF=1e18;
vector < pair < long long , long long > > mas[MXN];
long long dp[(1<<5)][MXN];
long long vis[MXN];
long long g[5];
int main()
{
cin.tie(0);
ios_base::sync_with_stdio(0);
long long n,k,m;
cin>>n>>k>>m;
for(long long i=0;i<k;i++)
{
cin>>g[i];
}
long long a,b,c;
for(long long i=1;i<=m;i++)
{
cin>>a>>b>>c;
mas[a].push_back({b,c});
mas[b].push_back({a,c});
}
long long fn_msk=(1<<k);
for(long long msk=1;msk<fn_msk;msk++)
{
for(long long i=1;i<=n;i++)
{
dp[msk][i]=INF;
}
}
for(long long st=0;st<k;st++)
{
dp[(1<<st)][g[st]]=0;
}
for(long long msk=1;msk<fn_msk;msk++)
{
for(long long st=0;st<k;st++)
{
if((msk>>st)&1)
{
for(long long i=1;i<=n;i++)
{
dp[msk][i]=min(dp[msk][i],dp[msk^(1<<st)][i]+dp[(1<<st)][i]);
}
}
}
priority_queue < pair < long long , long long > , vector < pair < long long , long long > > , greater < pair < long long , long long > > > q;
for(long long i=1;i<=n;i++)
{
q.push({dp[msk][i],i});
vis[i]=0;
}
while(!q.empty())
{
long long zar=q.top().second;
q.pop();
if(vis[zar])
{
continue;
}
vis[zar]=1;
for(auto [u,v]:mas[zar])
{
if(dp[msk][u]>(dp[msk][zar]+v))
{
dp[msk][u]=dp[msk][zar]+v;
q.push({dp[msk][u],u});
}
}
}
}
long long res=INF;
for(long long i=1;i<=n;i++)
{
res=min(res,dp[fn_msk-1][i]);
}
cout<<res<<"\n";
return 0;
}
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