#pragma GCC optimize ("O3") #pragma GCC target ("tune=native") #pragma GCC target ("avx") #include // 汎用マクロ #define ALL_OF(x) (x).begin(), (x).end() #define REP(i,n) for (long long i=0, i##_len=(n); i=i##_end; i--) #define UNIQUE(v) { sort((v).begin(), (v).end()); (v).erase(unique((v).begin(), (v).end()), (v).end()); } template bool chmax(T &a, const T &b) {if (a < b) {a = b; return true;} return false; } template bool chmin(T &a, const T &b) {if (a > b) {a = b; return true;} return false; } #define INF 0x7FFFFFFF #define LINF 0x7FFFFFFFFFFFFFFFLL #define Yes(q) (q ? "Yes" : "No") #define YES(q) (q ? "YES" : "NO") #define DUMP(q) cerr << "[DEBUG] " #q ": " << (q) << " at " __FILE__ ":" << __LINE__ << endl #define DUMPALL(q) { cerr << "[DEBUG] " #q ": ["; REP(dumpall_i, (q).size()) { cerr << q[dumpall_i] << (dumpall_i == (q).size() - 1 ? "" : ", "); } cerr << "] at " __FILE__ ":" << __LINE__ << endl; } template T gcd(const T &a, const T &b) { return a < b ? gcd(b, a) : b ? gcd(b, a % b) : a; } template T lcm(const T &a, const T &b) { return a / gcd(a, b) * b; } // gcc拡張マクロ #define popcount __builtin_popcount #define popcountll __builtin_popcountll // エイリアス using ll = long long; using ull = unsigned long long; using ld = long double; using namespace std; // モジュール // 処理内容 int main() { ll n, m, p, q, t; cin >> n >> m >> p >> q >> t; p--; q--; vector>> g(n); // (dest, cost) REP(i, m) { ll a, b, c; cin >> a >> b >> c; a--; b--; g[a].emplace_back(b, c); g[b].emplace_back(a, c); } using pllll = pair; auto dijcmp = [](pllll i, pllll j) -> bool { return i.second > j.second; }; // daikusutora O(N(M + NlogN)) // may the time be in vector> d(n, vector(n, INF)); REP(_i, 3) { ll i; switch(_i) { case 0: i = 0; break; case 1: i = p; break; case 2: i = q; break; } priority_queue, decltype(dijcmp)> q(dijcmp); // (dest, cost) q.push(pllll(i, 0)); while (!q.empty()) { pllll v = q.top(); q.pop(); if (!chmin(d[i][v.first], v.second)) continue; d[v.first][i] = v.second; for (pllll &vn : g[v.first]) { ll cn = v.second + vn.second; if (d[i][vn.first] > cn) { q.push(pllll(vn.first, cn)); } } } } // cerr << "[DEBUG] [\n"; // REP(i, n) REP(j, n) cerr << d[i][j] << " \n"[j==n-1]; // always together (hokkori) if (d[0][p] + d[p][q] + d[q][0] <= t) { cout << t << endl; return 0; } ll ans = -1; // they have to trip apart // 0 -> i -> p -> j -> 0 // +--> q ---^ REP(i, n) REP(j, n) { // i: 経由点 ll tt = d[0][i] + d[j][0]; ll tn = tt + max(d[i][p] + d[p][j], d[i][q] + d[q][j]); if (tn <= t) { chmax(ans, tt + (t - tn)); } } cout << ans << endl; }