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;
const int mxN = 2e5 + 5;
vector<pair<int, int>> ad[mxN];
void dijkstra(int u, vector<long long> &d, int n) {
priority_queue<pair<long long, int>> pq;
pq.push({0, u});
d[u] = 0;
vector<bool> vis(n + 1);
while (!pq.empty()) {
int u = pq.top().second;
pq.pop();
if (vis[u]) continue;
vis[u] = true;
for (auto [v, w] : ad[u]) {
if (d[v] > d[u] + w) {
d[v] = d[u] + w;
pq.push({-d[v], v});
}
}
}
}
void testCase() {
int n, m, s, t, u, v;
cin >> n >> m >> s >> t >> u >> v;
while (m--) {
int u, v, w;
cin >> u >> v >> w;
ad[u].push_back({v, w});
ad[v].push_back({u, w});
}
vector<long long> du(n + 1, 1e18), dv(n + 1, 1e18);
dijkstra(u, du, n);
dijkstra(v, dv, n);
vector<long long> d(n + 1, 1e18);
vector<bool> vis(n + 1);
vector<long long> min_du(n + 1, 1e18), min_dv(n + 1, 1e18);
priority_queue<pair<long long, int>> pq;
pq.push({0, s});
d[s] = 0;
min_du[s] = du[s];
min_dv[s] = dv[s];
while (!pq.empty()) {
int node = pq.top().second;
pq.pop();
if (min_du[node] + min_dv[node] == 14) cout << node << endl;
if (vis[node]) continue;
vis[node] = true;
for (auto [child, w] : ad[node]) {
long long new_du = min(min_du[node], du[child]);
long long new_dv = min(min_dv[node], dv[child]);
if (d[child] == d[node] + w && new_du + new_dv < min_du[child] + min_dv[child]) {
min_du[child] = new_du;
min_dv[child] = new_dv;
} else if (d[child] > d[node] + w) {
d[child] = d[node] + w;
min_du[child] = new_du;
min_dv[child] = new_dv;
pq.push({-d[child], child});
}
}
}
cout << min(du[v], min_du[t] + min_dv[t]) << "\n";
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
testCase();
return 0;
}
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