This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#ifdef tabr
#include "library/debug.cpp"
#else
#define debug(...)
#endif
int travel_plan(int n, int m, int r[][2], int l[], int k, int p[]) {
vector<vector<int>> g(n);
for (int i = 0; i < m; i++) {
g[r[i][0]].emplace_back(i);
g[r[i][1]].emplace_back(i);
}
vector<vector<int>> c(n);
vector<int> d(n, (int) 2e9);
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
for (int i = 0; i < k; i++) {
c[p[i]].emplace_back(0);
c[p[i]].emplace_back(0);
d[p[i]] = 0;
pq.emplace(0, p[i]);
}
while (!pq.empty()) {
auto [e, v] = pq.top();
pq.pop();
if (d[v] != c[v][1]) {
continue;
}
if (v == 0) {
break;
}
for (int id : g[v]) {
int to = v ^ r[id][0] ^ r[id][1];
c[to].emplace_back(d[v] + l[id]);
if (c[to].size() > 1) {
sort(c[to].begin(), c[to].end());
if (c[to].size() > 2) {
c[to].resize(2);
}
if (d[to] > c[to][1]) {
d[to] = c[to][1];
pq.emplace(d[to], to);
}
}
}
}
debug(d);
return d[0];
}
#ifdef tabr
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, m, k, r[100][2], l[100], p[100];
cin >> n >> m >> k;
for (int i = 0; i < m; i++) {
cin >> r[i][0] >> r[i][1] >> l[i];
}
for (int i = 0; i < k; i++) {
cin >> p[i];
}
debug(travel_plan(n, m, r, l, k, p));
return 0;
}
#endif
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