#include<bits/stdc++.h>
#include "crocodile.h"
using namespace std;
// define
#define execute cerr << " Time: " << fixed << setprecision(6) << (1.0 * clock() / CLOCKS_PER_SEC) << "s\n";
#define ll long long
#define ii pair <int , int>
#define iii pair <int , ii>
#define se second
#define fi first
#define all(v) (v).begin() , (v).end()
#define Unique(v) sort(all(v)) , v.resize(unique(all(v)) - v.begin())
#define bit(x,i) (((x) >> (i)) & 1LL)
#define flip(x,i) ((x) ^ (1LL << (i)))
#define ms(d,x) memset(d , x , sizeof(d))
#define exist __exist
#define ends __ends
#define visit visited
#define left __left
#define right __right
#define sitingfake 1
#define orz 1
//constant
const long long mod = 1e9 + 7;
const long long linf = 4557430888798830399LL;
const long long nlinf = -4485090715960753727LL;
const int inf = 1061109567;
const int ninf = -1044266559;
const int dx[] = {0 , -1 , 0 , 1};
const int dy[] = {-1 , 0 , 1 , 0};
template<typename T> bool maximize(T &a, const T &b)
{
if(a < b) {a = b; return 1;}
return 0;
}
template<typename T> bool minimize(T &a, const T &b)
{
if(a > b) {a = b; return 1;}
return 0;
}
void Plus(ll & a ,ll b)
{
b %= mod;
a += b;
if(a < 0) a += mod;
a %= mod;
return;
}
void Mul(ll & a, ll b)
{
(a *= (b % mod)) %= mod;
return;
}
//code
const int maxn = 1e5 + 7;
int n , m , k;
ll distS[maxn];
vector <ii> a[maxn];
int p[maxn];
void Dijkstra()
{
ms(distS , 0x3f);
priority_queue <ii , vector <ii> , greater <ii>> pq;
for(int i = 1; i <= k; i++)
{
distS[p[i]] = 0;
pq.push({0 , p[i]});
}
while(!pq.empty())
{
int u = pq.top().se;
ll cost = pq.top().fi;
pq.pop();
if(cost > distS[u]) continue;
for(ii i : a[u])
{
int v = i.fi;
int w = i.se;
if(minimize(distS[v] , distS[u] + w))
{
pq.push({distS[v] , v});
}
}
}
}
ll travel_plan(int N, int M, int R[][2], int L[], int K, int P[])
{
n = N , m = M , k = K;
for(int i = 1; i <= m; i++)
{
int u = R[i][0] , v = R[i][1] , w = L[i];
a[u].push_back({v , w});
a[v].push_back({u , w});
}
for(int i = 1; i <= k; i++)
{
p[i] = P[i];
}
Dijkstra();
vector <ll> dist(n + 2 , linf);
dist[0] = 0;
priority_queue <iii , vector <iii> , greater <iii>> pq;
pq.push({0 , {0 , -1}});
while(!pq.empty())
{
int u = pq.top().se.fi;
int pre = pq.top().se.se;
ll cost = pq.top().fi;
pq.pop();
if(cost > dist[u]) continue;
ii mi = {inf , inf};
int banned = 0;
for(ii it : a[u])
{
int v = it.fi;
int w = it.se;
if(v == pre) continue;
if(minimize(mi , {distS[v] , w}))
{
banned = v;
}
}
for(ii it : a[u])
{
int v = it.fi;
int w = it.se;
if(v == pre || v == banned) continue;
if(minimize(dist[v] , dist[u] + w))
{
pq.push({dist[v] , {v , u}});
}
}
}
ll ans = linf;
for(int i = 1; i <= k; i++)
{
minimize(ans , dist[p[i]]);
}
return ans;
}
//void solve(void)
//{
// int n , m , k;
// int r[maxn][2] , l[maxn] , p[maxn];
// cin >> n >> m >> k;
// for(int i = 1; i <= m; i++)
// {
// cin >> r[i][0] >> r[i][1];
// }
// for(int i = 1; i <= m; i++)
// {
// cin >> l[i];
// }
// for(int i = 1; i <= k; i++)
// {
// cin >> p[i];
// }
// cout << travel_plan(n , m , r , l , k , p);
//}
///**
//5 7 2
//0 2
//0 3
//3 2
//2 1
//0 1
//0 4
//3 4
//4 3 2 10 100 7 9
//1 3
//
//5 4 3
//0 1
//0 2
//3 2
//2 4
//2 3 1 4
//1 3 4
//**/
//signed main()
//{
// ios_base::sync_with_stdio(0);
// cin.tie(0);
// cout.tie(0);
//
// #define task ""
//
// if(fopen(task".inp","r"))
// {
// freopen(task".inp","r",stdin);
// freopen(task".out","w",stdout);
// }
//
// int tc = 1;
//// cin >> tc;
// while(tc--) solve();
//
//// execute;
//}
