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>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// using namespace __gnu_pbds;
// #define ordered_set tree<ll, null_type, less_equal<ll>, rb_tree_tag, tree_order_statistics_node_update>
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using namespace std;
typedef long long ll;
typedef long double ldb;
typedef vector<int> vi;
typedef vector<long long> vl;
typedef vector<double> vdb;
typedef vector<vector<int>> vvi;
typedef vector<vector<ll>> vvl;
typedef vector<string> vs;
typedef set<int> si;
typedef set<long long> sl;
typedef set<double> sdb;
typedef set<string> ss;
typedef set<char> sc;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define ftb(i, a, b) for (int i = a, _b = b; i <= _b; ++i)
#define ft(i, a, b) for (int i = a, _b = b; i < _b; ++i)
#define fgb(i, a, b) for (int i = a, _b = b; i >= _b; --i)
#define fg(i, a, b) for (int i = a, _b = b; i > _b; --i)
#define endl "\n"
void dijkstra(int node, vector<pll> adj[], vl& distance) {
distance[node] = 0;
priority_queue<pll, vector<pll>, greater<pll>> q;
q.push({ 0,node });
while (!q.empty()) {
int node = q.top().second;
ll d = q.top().first;
q.pop();
if (d > distance[node]) continue;
for (pll it : adj[node]) {
if (distance[it.first] > d + it.second) {
distance[it.first] = d + it.second;
q.push({ d + it.second,it.first });
}
}
}
}
void dijkstra2(int node, vector<pll> adj[], vl parent[], int n) {
vl distance(n + 1, 1e17);
distance[node] = 0;
priority_queue<pll, vector<pll>, greater<pll>> q;
q.push({ 0,node });
while (!q.empty()) {
int node = q.top().second;
ll d = q.top().first;
q.pop();
if (d > distance[node]) continue;
for (pll it : adj[node]) {
if (distance[it.first] > d + it.second) {
distance[it.first] = d + it.second;
q.push({ d + it.second,it.first });
parent[it.first].clear();
parent[it.first].push_back(node);
}
else if (distance[it.first] == d + it.second) {
parent[it.first].push_back(node);
}
}
}
}
void bfs(int n, int s, vl adj[], vl& disU, vl& disV, ll& ans) {
vi cnt(n + 1, 0);
ftb(i, 1, n) {
for (int it : adj[i]) {
cnt[it] += 1;
}
}
queue<int> q;
vl mn(n + 1, 0);
ftb(i, 1, n) {
mn[i] = disU[i];
}
q.push(s);
while (!q.empty()) {
int node = q.front();
q.pop();
ans = min(ans, mn[node] + disV[node]);
for (int it : adj[node]) {
cnt[it] -= 1;
mn[it] = min(mn[it], mn[node]);
if (cnt[it] == 0) {
q.push(it);
}
}
}
}
int main() {
ios::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
// freopen("C:\\Users\\tring\\Downloads\\2018-ho-data\\2018-ho-data\\2018-ho-t4\\in\\03-01.txt", "r", stdin);
ll n, m;
cin >> n >> m;
ll s, t, u, v;
cin >> s >> t >> u >> v;
vector<pll> adj[n + 1];
ft(i, 0, m) {
ll x, y, z;
cin >> x >> y >> z;
adj[x].push_back({ y,z });
adj[y].push_back({ x,z });
}
vl disU(n + 1, 1e17), disV(n + 1, 1e17);
dijkstra(u, adj, disU);
dijkstra(v, adj, disV);
vl parent[n + 1];
vl adj2[n + 1];
queue<int> q;
q.push(t);
vector<bool> check(n + 1, false);
dijkstra2(s, adj, parent, n);
while (!q.empty()) {
int node = q.front();
q.pop();
for (int it : parent[node]) {
if (!check[it]) {
check[it] = true;
q.push(it);
}
adj2[node].push_back(it);
}
}
ll ans = disU[v];
bfs(n, t, adj2, disU, disV, ans);
bfs(n, t, adj2, disV, disU, ans);
cout << ans << endl;
}
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