This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*************************************
*    author: marvinthang             *
*    created: 02.06.2023 17:17:19    *
*************************************/
#include "crocodile.h"
#include <bits/stdc++.h>
using namespace std;
#define                  fi  first
#define                  se  second
#define                left  ___left
#define               right  ___right
#define                TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define             MASK(i)  (1LL << (i))
#define           BIT(x, i)  ((x) >> (i) & 1)
#define  __builtin_popcount  __builtin_popcountll
#define              ALL(v)  (v).begin(), (v).end()
#define           REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define          REPD(i, n)  for (int i = (n); i--; )
#define        FOR(i, a, b)  for (int i = (a), _b = (b); i < _b; ++i) 
#define       FORD(i, b, a)  for (int i = (b), _a = (a); --i >= _a; ) 
#define       FORE(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i) 
#define      FORDE(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i) 
#define        scan_op(...)  istream & operator >> (istream &in, __VA_ARGS__ &u)
#define       print_op(...)  ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
    #include "debug.h"
#else
    #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
    #define DB(...) 23
    #define db(...) 23
    #define debug(...) 23
#endif
template <class U, class V> scan_op(pair <U, V>)  { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>)  { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>)  { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")";  else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
template <class A, class B> bool minimize(A &a, B b)  { if (a > b) { a = b; return true; } return false; }
template <class A, class B> bool maximize(A &a, B b)  { if (a < b) { a = b; return true; } return false; }
// end of template
const int INF = 1e9 + 7;
int travel_plan(int N, int M, int R[][2], int L[], int K, int P[]) {
    vector <vector <pair <int, int>>> adj(N);
    REP(i, M) {
        adj[R[i][0]].emplace_back(L[i], R[i][1]);
        adj[R[i][1]].emplace_back(L[i], R[i][0]);
    }
    vector <pair <int, int>> dist(N, make_pair(INF, INF));
    priority_queue <pair <int, int>, vector <pair <int, int>>, greater <pair <int, int>>> pq;
    REP(i, K) if (dist[P[i]].fi) {
        dist[P[i]].fi = dist[P[i]].se = 0;
        pq.emplace(0, P[i]);
    }
    while (!pq.empty()) {
        auto [du, u] = pq.top(); pq.pop();
        if (du != dist[u].se) continue;
        if (!u) return du;
        for (auto [w, v]: adj[u]) {
            int dv = du + w;
            if (dist[v].fi > dv) swap(dist[v].fi, dv);
            if (minimize(dist[v].se, dv)) pq.emplace(dist[v].se, v);
        }
    }
    return -1;
}
#ifdef LOCAL
#include "crocodile.h"
#include <stdio.h>
#include <stdlib.h>
#define MAX_N 50000
#define MAX_M 10000000
static int N, M;
static int R[MAX_M][2];
static int L[MAX_M];
static int K;
static int P[MAX_N];
static int solution;
inline 
void my_assert(int e) {if (!e) abort();}
void read_input()
{
  int i;
  my_assert(3==scanf("%d %d %d",&N,&M,&K));
  for(i=0; i<M; i++)
    my_assert(3==scanf("%d %d %d",&R[i][0],&R[i][1],&L[i]));
  for(i=0; i<K; i++)
    my_assert(1==scanf("%d",&P[i]));
  my_assert(1==scanf("%d",&solution));
}
int main()
{
    file("crocodile");
  int ans;
  read_input();
  ans = travel_plan(N,M,R,L,K,P);
  if(ans==solution)
    printf("Correct.\n");
  else
    printf("Incorrect. Returned %d, Expected %d.\n",ans,solution);
  return 0;
}
#endif
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