#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
//using namespace __gnu_pbds;
#define LongDepTrai "cities"
#define ll long long
#define int long long
#define ull unsigned long long
#define ld long double
#define ii pair<int,int>
#define iii pair<int,ii>
#define iv pair<ii,ii>
#define pll pair<ll,ll>
#define vi vector<int>
#define vii vector<ii>
#define vll vector<ll>
#define fi first
#define se second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define sz(x) int((x).size())
#define order_set(T) tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>
inline ll add(ll a, ll b, ll mod){ a += b; if(a >= mod) a -= mod; return a; }
inline ll sub(ll a, ll b, ll mod){ a -= b; if(a < 0) a += mod; return a; }
inline ll mul(ll a, ll b, ll mod){ return ( (ll)a * b ) % mod; }
static mt19937_64 rng((unsigned)chrono::steady_clock::now().time_since_epoch().count());
const int N=2e5+9;
const int INF=1e18;
int n,k,m,imp[N],d[2009][2009];
vii g[N];
void dijk(int u){
for(int i=1;i<=n;i++){
d[u][i]=INF;
}
d[u][u]=0;
priority_queue<ii,vector<ii>,greater<ii>> q;
q.push({d[u][u],u});
while(q.size()){
int z=q.top().se;
int cost=q.top().fi;
q.pop();
if(cost!=d[u][z]) continue;
for(ii x:g[z]){
int v=x.fi;
int w=x.se;
if(d[u][v]>cost+w){
d[u][v]=cost+w;
q.push({d[u][v],v});
}
}
}
}
int ans=INF;
void Try(int i,int sumu,int sumv,int u,int v){
if(i>4){
ans=min(ans,sumu+sumv);
return;
}
Try(i+1,sumu+d[u][imp[i]],sumv,u,v);
Try(i+1,sumu,sumv+d[v][imp[i]],u,v);
}
void sub4(){
for(int i=1;i<=n;i++){
dijk(i);
}
int res=INF;
for(int i=1;i<=n;i++){
for(int j=1;j<=n;j++){
ans=INF;
Try(1,0,0,i,j);
// cout<<i<<" "<<j<<" "<<ans<<"\n";
res=min(res,ans+d[i][j]);
}
}
cout<<res;
}
int f[N][(1<<5)];
void subac(){
memset(f,0x3f,sizeof(f));
priority_queue<ii,vector<ii>,greater<ii>> q;
for(int i=0;i<k;i++){
f[imp[i+1]][(1<<i)]=0;
}
for(int mask=0;mask<(1<<k);mask++){
for(int i=1;i<=n;i++){
for(int mask1=0;mask1<(1<<5);mask1++) {
for(int mask2=0;mask2<(1<<5);mask2++){
if((mask1|mask2)==mask && (mask1&mask2)==0){
f[i][mask]=min(f[i][mask],f[i][mask1]+f[i][mask2]);
q.push({f[i][mask],i});
}
}
}
}
while(q.size()){
int z=q.top().se;
int cost=q.top().fi;
q.pop();
if(f[z][mask]!=cost) continue;
for(ii x:g[z]){
int v=x.fi;
int w=x.se;
if(f[v][mask]>cost+w){
f[v][mask]=cost+w;
q.push({f[v][mask],v});
}
}
}
}
int res=INF;
for(int i=1;i<=n;i++){
res=min(res,f[i][(1<<k)-1]);
}
cout<<res;
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
if(fopen(LongDepTrai".inp","r")){
freopen(LongDepTrai".inp","r",stdin);
freopen(LongDepTrai".out","w",stdout);
}
cin>>n>>k>>m;
for(int i=1;i<=k;i++){
cin>>imp[i];
}
for(int i=1;i<=m;i++){
int u,v,c;
cin>>u>>v>>c;
g[u].pb({v,c});
g[v].pb({u,c});
}
/*if(k==4){
sub4();
}
else{*/
subac();
//}
return 0;
}
Compilation message (stderr)
cities.cpp: In function 'int main()':
cities.cpp:129:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
129 | freopen(LongDepTrai".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
cities.cpp:130:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
130 | freopen(LongDepTrai".out","w",stdout);
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