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;
using ll = long long;
int main() {
	ios::sync_with_stdio(false); cin.tie(nullptr);
	int n, m, s, t, u, v;
	cin >> n >> m >> s >> t >> u >> v;
	vector<pair<int, int>> E[n + 1];
	while (m--) {
		int a, b, c;
		cin >> a >> b >> c;
		E[a].push_back({b, c});
		E[b].push_back({a, c});
	}
	auto f = [&](int st) -> vector<ll>{
		vector<ll> dis(n + 1, LLONG_MAX);
		priority_queue<pair<ll, int>, vector<pair<ll, int>>, greater<>> q;
		dis[st] = 0;
		q.push({0, st});
		while (!q.empty()) {
			int x = q.top().second;
			q.pop();
			for (auto i : E[x]) {
				if (dis[x] + i.second < dis[i.first]) {
					dis[i.first] = dis[x] + i.second;
					q.push({dis[i.first], i.first});
				}
			}
		}
		return dis;
	};
	vector<ll> diss = f(s), dist = f(t), disu = f(u), disv = f(v);
	priority_queue<pair<ll, pair<int, pair<ll, ll>>>, vector<pair<ll, pair<int, pair<ll, ll>>>>, greater<>> q;
	q.push({0, {s, {disu[s], disv[s]}}});
	while (!q.empty()) {
		int x = q.top().second.first;
		pair<ll, ll> y = q.top().second.second;
		q.pop();
		if (x == t) {
			return cout << min(disu[v], y.first + y.second), 0;
		}
		for (auto i : E[x]) {
			if (diss[x] + i.second == diss[i.first]) {
				q.push({diss[i.first], {i.first, {min(y.first, disu[i.first]), min(y.second, disv[i.first])}}});
			}
		}
	}
}
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