This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#ifndef LOCAL
#include "crocodile.h"
#endif // LOCAL
#include <bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define ar array
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
const int maxn = 1e5 + 5;
const ll inf = 1e18;
int N, M, K;
vector<ii> adj[maxn];
ll dist[maxn][2];
int travel_plan(int _N, int _M, int R[][2], int L[], int _K, int P[])
{
priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<pair<ll, int>>> pq;
N = _N, M = _M, K = _K;
for(int i = 0; i < M; ++i){
adj[R[i][0]].eb(R[i][1], L[i]);
adj[R[i][1]].eb(R[i][0], L[i]);
///cerr << R[i][0] << ' ' << R[i][1] << ' ' << L[i] << '\n';
}
fill_n(&dist[0][0], maxn * 2, inf);
for(int i = 0; i < K; ++i){
pq.push(mp(0, P[i]));
dist[P[i]][0] = dist[P[i]][1] = 0;
}
while(pq.size()){
int now; int u;
tie(now, u) = pq.top(); pq.pop();
if(now > dist[u][1]) continue;
for(auto v : adj[u]){
ll d = dist[u][1] + v.se;
if(dist[v.fi][0] > d){
swap(dist[v.fi][0], dist[v.fi][1]);
dist[v.fi][0] = d;
if(dist[v.fi][1] != inf)
pq.push(mp(dist[v.fi][1], v.fi));
}
else if(dist[v.fi][1] > d){
dist[v.fi][1] = d;
pq.push(mp(d, v.fi));
}
}
///cerr << '\n';
}
return dist[0][1];
}
#ifdef LOCAL
signed main(void)
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#ifdef LOCAL
freopen("A.INP", "r", stdin);
freopen("A.OUT", "w", stdout);
#endif // LOCAL
int _N, _M, _K;
cin >> _N >> _M >> _K;
int L[_M], R[_M][2], P[_K];
for(int i = 0; i < _M; ++i){
cin >> R[i][0] >> R[i][1];
}
for(int i = 0; i < _M; ++i)
cin >> L[i];
for(int i = 0; i < _K; ++i)
cin >> P[i];
cout << travel_plan(_N, _M, R, L, _K, P);
}
#endif // LOCAL
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