#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define f first
#define s second
#define pii pair<int32_t,int32_t>
#define ppii pair<int,pii>
#define vi vector<int>
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define F(n) for(int i=0;i<n;i++)
#define lb lower_bound
#define ub upper_bound
#define fastio ios::sync_with_stdio(false);cin.tie(NULL);
#pragma GCC optimize ("03,unroll-lopps")
#define sz(x) (int)((x).size())
//#define int long long
using namespace std;
const int mod=1e9+7,mxn=2e5,inf=1e9,minf=-1e9,lg=30,Mxn=1e9;
//#undef int
int n,k,m,d,q;
void setIO(string name){
ios_base::sync_with_stdio(0); cin.tie(0);
freopen((name+".in").c_str(),"r",stdin);
freopen((name+".out").c_str(),"w",stdout);
}
vector<pii>dist[mxn+10];
vector<pii>adj[mxn+10];
int have(int x,pii a){
for(auto i:dist[x])if(i==a)return 1;
return 0;
}
bool put(int x,pii a){
for(auto &i:dist[x])if(i.s==a.s){
if(i.f>a.f)return i.f=a.f,1;
return 0;
}
if(dist[x].size()<3)return dist[x].pb(a),1;
sort(all(dist[x]));
if(a.f<dist[x].back().f){
dist[x].pop_back();
dist[x].pb(a);
return 1;
}
return 0;
}
bool good(pii a,pii b){
if(a.f==b.f||a.f==b.s||a.s==b.f||a.s==b.s)return 0;
return 1;
}
struct seg{
vector<int>val,L,R;
int create(){
val.pb(inf);
L.pb(0);
R.pb(0);
return L.size()-1;
}
seg(){
for(int i=0;i<2;i++)create();
}
void update(int qpos,int x,int pos,int l,int r){
if(l>qpos||r<qpos)return;
if(l==r)return void(val[pos]=min(val[pos],x));
int mid=(l+r)>>1;
if(qpos<=mid){
if(!L[pos])L[pos]=create();
update(qpos,x,L[pos],l,mid);
}
else{
if(!R[pos])R[pos]=create();
update(qpos,x,R[pos],mid+1,r);
}
val[pos]=min(val[L[pos]],val[R[pos]]);
}
int qry(int ql,int qr,int pos,int l,int r){
if(l>qr||r<ql||pos==0)return inf;
if(ql<=l&&r<=qr)return val[pos];
int mid=(l+r)>>1;
return min(qry(ql,qr,L[pos],l,mid),qry(ql,qr,R[pos],mid+1,r));
}
};
vector<int>L,R;
vector<seg>t;
int create(){
L.pb(0);
R.pb(0);
t.pb(seg());
return L.size()-1;
}
void update(int qx,int qy,int x,int pos=1,int l=1,int r=n){
if(l>qx||r<qx)return;
if(l==r)return;
t[pos].update(qy,x,1,1,n);
int mid=(l+r)>>1;
if(qx<=mid){
if(!L[pos])L[pos]=create();
update(qx,qy,x,L[pos],l,mid);
}
else{
if(!R[pos])R[pos]=create();
update(qx,qy,x,R[pos],mid+1,r);
}
}
int qry(int LX,int RX,int LY,int RY,int pos=1,int l=1,int r=n){
if(l>RX||r<LX||pos==0)return inf;
if(LX<=l&&r<=RX)return t[pos].qry(LY,RY,1,1,n);
int mid=(l+r)>>1;
return min(qry(LX,RX,LY,RY,L[pos],l,mid),qry(LX,RX,LY,RY,R[pos],mid+1,r));
}
bool cmp(pair<int,pii> a,pair<int,pii> b){return a.s.s<b.s.s;}
int32_t main(){
fastio
cin>>n>>m>>k;
for(int i=0;i<m;i++){
int a,b,c;cin>>a>>b>>c;
adj[a].pb({b,c});
adj[b].pb({a,c});
}
vector<int>SP(k);
priority_queue<pair<int,pii>,vector<pair<int,pii>>,greater<pair<int,pii>>>pq;
for(auto &i:SP){
cin>>i;
pq.push({0,{i,i}});
}
while(!pq.empty()){
int C=pq.top().f,cur=pq.top().s.f,F=pq.top().s.s;
pq.pop();
if(cur!=F&&!have(cur,{C,F}))continue;
for(auto i:adj[cur]){
if(i.f!=F&&put(i.f,{C+i.s,F}))pq.push({C+i.s,{i.f,F}});
}
}
vector<pair<int,pii>>have;
for(auto i:SP){
for(auto j:dist[i])have.pb({j.f,{i,j.s}});
}
for(auto &i:have)if(i.s.f>i.s.s)swap(i.s.s,i.s.f);
ll ans=inf;
create();
create();
sort(all(have),cmp);
for(auto i:have)update(i.s.f,i.s.s,i.f);
for(auto i:have){
ans=min(ans,(ll)i.f+(ll)qry(1,i.s.f-1,1,i.s.f-1));
ans=min(ans,(ll)i.f+(ll)qry(i.s.s+1,i.s.f-1,1,i.s.f-1));
ans=min(ans,(ll)i.f+(ll)qry(i.s.f+1,n,1,i.s.f-1));
ans=min(ans,(ll)i.f+(ll)qry(1,i.s.f-1,i.s.f+1,i.s.s-1));
ans=min(ans,(ll)i.f+(ll)qry(i.s.s+1,i.s.f-1,i.s.f+1,i.s.s-1));
ans=min(ans,(ll)i.f+(ll)qry(i.s.f+1,n,i.s.f+1,i.s.s-1));
ans=min(ans,(ll)i.f+(ll)qry(1,i.s.f-1,i.s.s+1,n));
ans=min(ans,(ll)i.f+(ll)qry(i.s.s+1,i.s.f-1,i.s.s+1,n));
ans=min(ans,(ll)i.f+(ll)qry(i.s.f+1,n,i.s.s+1,n));
}
cout<<ans;
}
/*
*/
Compilation message (stderr)
RelayMarathon.cpp:16:40: warning: bad option '-funroll-lopps' to pragma 'optimize' [-Wpragmas]
16 | #pragma GCC optimize ("03,unroll-lopps")
| ^
RelayMarathon.cpp:23:23: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
23 | void setIO(string name){
| ^
RelayMarathon.cpp:30:21: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
30 | int have(int x,pii a){
| ^
RelayMarathon.cpp:34:21: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
34 | bool put(int x,pii a){
| ^
RelayMarathon.cpp:48:22: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
48 | bool good(pii a,pii b){
| ^
RelayMarathon.cpp:54:20: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
54 | int create(){
| ^
RelayMarathon.cpp:60:13: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
60 | seg(){
| ^
RelayMarathon.cpp:63:55: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
63 | void update(int qpos,int x,int pos,int l,int r){
| ^
RelayMarathon.cpp:77:50: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
77 | int qry(int ql,int qr,int pos,int l,int r){
| ^
RelayMarathon.cpp:86:12: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
86 | int create(){
| ^
RelayMarathon.cpp:92:58: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
92 | void update(int qx,int qy,int x,int pos=1,int l=1,int r=n){
| ^
RelayMarathon.cpp:106:62: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
106 | int qry(int LX,int RX,int LY,int RY,int pos=1,int l=1,int r=n){
| ^
RelayMarathon.cpp:112:41: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
112 | bool cmp(pair<int,pii> a,pair<int,pii> b){return a.s.s<b.s.s;}
| ^
RelayMarathon.cpp:113:14: warning: bad option '-funroll-lopps' to attribute 'optimize' [-Wattributes]
113 | int32_t main(){
| ^
RelayMarathon.cpp: In function 'void setIO(std::string)':
RelayMarathon.cpp:25:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
25 | freopen((name+".in").c_str(),"r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
RelayMarathon.cpp:26:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
26 | freopen((name+".out").c_str(),"w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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