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;
#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
#define ll long long
ll mod=998244353;
int inf=1000000007;
ll infl=1000000000000000007;
const int N=100007,K=5;
vector<ll>DP[N][1<<K];
vector<pair<int,ll>>G[N];
int id[N];
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n,k,m,a,b,c;
cin>>n>>k>>m;
for(int i=1;i<=k;i++)
{
cin>>a;
id[a]=i;
}
for(int i=0;i<m;i++)
{
cin>>a>>b>>c;
G[a].pb({b,c});
G[b].pb({a,c});
}
for(int i=1;i<=n;i++)
{
for(int j=0;j<(1<<k);j++)
{
if(j==0||(id[i]>0&&j==(1<<(id[i]-1)))) DP[i][j]=vector<ll>(sz(G[i])+1,0);
else DP[i][j]=vector<ll>(sz(G[i])+1,infl);
}
}
for(int x=1;x<(1<<k);x++)
{
for(int v=1;v<=n;v++)
{
int i=0;
for(auto u:G[v])
{
i++;
for(int y=x;;y=(y-1)&x)
{
DP[v][x][i]=min(DP[v][x][i],DP[v][x^y][i-1]+DP[u.st][y].back()+u.nd);
if(y==0) break;
}
}
}
}
ll ans=infl;
for(int i=1;i<=n;i++) ans=min(ans,DP[i][(1<<k)-1].back());
cout<<ans;
return 0;
}
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