This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#ifdef LOCAL
#include "local.h"
#else
#include <bits/stdc++.h>
#define debug(...)
#define DB(...)
#endif
using namespace std;
const bool __initialization = []() {
cin.tie(nullptr)->sync_with_stdio(false);
#define TASK "empty"
if (fopen(TASK".inp", "r")) {
(void)(!freopen(TASK".inp", "r", stdin));
(void)(!freopen(TASK".out", "w", stdout)); }
cout << setprecision(12) << fixed;
return true;
}();
using ll = long long;
using ld = long double;
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define For(i, l, r) for (int i = (l); i <= (r); ++i)
#define Ford(i, r, l) for (int i = (r); i >= (l); --i)
#define Rep(i, n) For (i, 0, (n) - 1)
#define Repd(i, n) Ford (i, (n) - 1, 0)
#define Fe(...) for (auto __VA_ARGS__)
template <class C> inline int isz(const C& c) { return static_cast<int>(c.size()); }
template <class T> inline bool chmin(T& a, const T& b) { return (a > b) ? a = b, true : false; }
template <class T> inline bool chmax(T& a, const T& b) { return (a < b) ? a = b, true : false; }
constexpr ld eps = 1e-9;
constexpr int inf = 1e9;
constexpr ll linf = 1e18;
// =============================================================================
constexpr int maxn = 1e5 + 5;
struct Link {
int v, c;
};
struct Data {
int u; ll du;
bool operator<(const Data& o) const {
return du > o.du;
}
};
int n, ne;
int src, dest;
int U, V;
vector<Link> g[maxn];
ll ds[maxn], dU[maxn], dV[maxn];
priority_queue<Data> q;
void Dijkstra(int s, ll* d) {
memset(d + 1, 0x3f, sizeof(ll) * n);
d[s] = 0;
q.push({s, d[s]});
while (isz(q)) {
auto [u, du] = q.top(); q.pop();
if (du != d[u]) continue;
Fe (&[v, c] : g[u]) {
if (chmin(d[v], d[u] + c)) {
q.push({v, d[v]});
}
}
}
}
ll ans;
bool vis[maxn], visDest[maxn];
ll dpU[maxn], dpV[maxn];
void Dfs(int u) {
if (vis[u]) return;
vis[u] = true;
dpU[u] = dpV[u] = linf;
if (u == dest) visDest[u] = true;
Fe (&[v, c] : g[u]) {
if (ds[v] != ds[u] + c) continue;
Dfs(v);
if (visDest[v]) {
visDest[u] = true;
chmin(dpU[u], dpU[v]);
chmin(dpV[u], dpV[v]);
}
}
if (visDest[u]) {
chmin(ans, dpU[u] + dV[u]);
chmin(ans, dpV[u] + dU[u]);
chmin(dpU[u], dU[u]);
chmin(dpV[u], dV[u]);
}
}
signed main() {
cin >> n >> ne;
cin >> src >> dest;
cin >> U >> V;
Rep (_, ne) {
int u, v, c; cin >> u >> v >> c;
g[u].push_back({v, c});
g[v].push_back({u, c});
}
Dijkstra(src, ds);
Dijkstra(U, dU);
Dijkstra(V, dV);
ans = dU[V];
Dfs(src);
cout << ans << '\n';
}
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