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>
#define int long long
#define fi first
#define se second
using namespace std;
const int inff = 1e18;
int32_t main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, m;
cin >> n >> m;
int s, t;
cin >> s >> t;
int u, v;
cin >> u >> v;
vector<vector<pair<int, int>>> g(n + 1);
for (int i = 0; i < m; i++) {
int a, b, c;
cin >> a >> b >> c;
g[a].push_back({b, c});
g[b].push_back({a, c});
}
auto dijkstra = [&](int x) {
vector<int> dist(n + 1, inff);
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
dist[x] = 0;
pq.push({dist[x], x});
while (!pq.empty()) {
auto [w, x] = pq.top();
pq.pop();
if (w > dist[x]) continue;
for (auto [z, c] : g[x]) {
if (w + c < dist[z]) {
dist[z] = w + c;
pq.push({dist[z], z});
}
}
}
return dist;
};
auto ds = dijkstra(s);
auto dt = dijkstra(t);
auto du = dijkstra(u);
auto dv = dijkstra(v);
vector<int> imp(n + 1);
for (int i = 1; i <= n; i++) {
if (ds[i] + dt[i] == ds[t]) {
imp[i] = 1;
}
}
vector<vector<int>> h(n + 1);
for (int i = 1; i <= n; i++) {
if (imp[i]) {
for (auto [j, c] : g[i]) {
if (imp[j] && ds[i] + c == ds[j]) {
h[i].push_back(j);
}
}
}
}
int ans = du[v];
vector<int> ord;
function<int(int)> dfs = [&](int x) {
ord.push_back(x);
if ((int)ord.size() > 2 * n) {
assert(false);
exit(0);
}
int mn = dv[x];
for (auto z : h[x]) {
mn = min(mn, dfs(z));
}
ans = min(ans, du[x] + mn);
return mn;
};
dfs(s);
swap(du, dv);
dfs(s);
cout << ans << '\n';
return 0;
}
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