#include using namespace std; typedef long long ll; #define rep(i, n) for(ll i = 0, i##_len = (n); i < i##_len; i++) #define reps(i, s, n) for(ll i = (s), i##_len = (n); i < i##_len; i++) #define rrep(i, n) for(ll i = (n) - 1; i >= 0; i--) #define rreps(i, e, n) for(ll i = (n) - 1; i >= (e); i--) #define all(x) (x).begin(), (x).end() #define sz(x) ((ll)(x).size()) #define len(x) ((ll)(x).length()) template struct Dijkstra { const T inf = numeric_limits::max() / 2 - 1; vector dist; vector path; Dijkstra() {} Dijkstra(int n) { graph.resize(n); dist.resize(n); prev.resize(n); } void add_edge(int from, int to, T cost) { graph[from].emplace_back(to, cost); } void get_distance(int from) { priority_queue, vector>, greater>> pq; fill(dist.begin(), dist.end(), inf); fill(prev.begin(), prev.end(), -1); dist[from] = 0; pq.push(make_pair(0, from)); while(!pq.empty()) { pair p = pq.top(); pq.pop(); if (dist[p.second] < p.first) continue; for (auto e : graph[p.second]) { if (dist[e.first] > (dist[p.second] + e.second)) { dist[e.first] = dist[p.second] + e.second; prev[e.first] = p.second; pq.push(make_pair(dist[e.first], e.first)); } } } } void get_path(int to) { path = vector(0); for (; to != -1; to = prev[to]) { path.push_back(to); } reverse(path.begin(), path.end()); } private: vector>> graph; vector prev; }; int main() { cin.tie(0); ios::sync_with_stdio(false); // ifstream in("input.txt"); // cin.rdbuf(in.rdbuf()); ll n, m, p, q, t; cin >> n >> m >> p >> q >> t; p--; q--; Dijkstra di(n); rep(i, m) { ll a, b, c; cin >> a >> b >> c; a--; b--; di.add_edge(a, b, c); di.add_edge(b, a, c); } vector fs(n), fp(n), fq(n); di.get_distance(0); rep(i, n) fs[i] = di.dist[i]; di.get_distance(p); rep(i, n) fp[i] = di.dist[i]; di.get_distance(q); rep(i, n) fq[i] = di.dist[i]; ll ans = -1; // ずっと一緒 if ((fs[p] + fp[q] + fq[0]) <= t) { cout << t << endl; return 0; } // 街iで分かれ、街jで合流する rep(i, n) { rep(j, n) { ll sp = fp[i] + fp[j]; ll sq = fq[i] + fq[j]; ll sep = max(sp, sq); ll tot = fs[i] + sep + fs[j]; if (tot > t) continue; ans = max(ans, t - sep); } } cout << ans << endl; return 0; }