#include using namespace std; using ll = long long; using VI = vector; using VV = vector; using VS = vector; using PII = pair; // tourist set template string to_string(pair p); template string to_string(tuple p); template string to_string(tuple p); string to_string(const string& s) { return '"' + s + '"'; } string to_string(const char* s) { return to_string((string) s); } string to_string(bool b) { return (b ? "true" : "false"); } string to_string(vector v) { bool first = true; string res = "{"; for (int i = 0; i < static_cast(v.size()); i++) { if (!first) { res += ", "; } first = false; res += to_string(v[i]); } res += "}"; return res; } template string to_string(bitset v) { string res = ""; for (size_t i = 0; i < N; i++) { res += static_cast('0' + v[i]); } return res; } template string to_string(A v) { bool first = true; string res = "{"; for (const auto &x : v) { if (!first) { res += ", "; } first = false; res += to_string(x); } res += "}"; return res; } template string to_string(pair p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; } template string to_string(tuple p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")"; } template string to_string(tuple p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")"; } void debug_out() { cerr << '\n'; } template void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); } #ifdef LOCAL #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #else #define debug(...) 42 #endif // tourist set end templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b()) #define MP make_pair void no(){p_no(); exit(0);} void yes(){p_yes(); exit(0);} const ll mod = 1e9 + 7; const ll inf = 1e18; const double PI = acos(-1); struct Edge{ ll to; ll cost; Edge(ll to, ll cost): to(to), cost(cost) {} Edge(){ to = 0; cost = 0; } }; struct Node{ ll distance; ll index; Node(ll d, ll i){ distance = d; index = i; } Node(){} bool operator<(const Node &another) const { return distance < another.distance; } bool operator>(const Node &another) const { return distance > another.distance; } }; struct Dijkstra{ vector d; vector > graph; vector done; // ノード数を入れる void initialize(ll size){ d.resize(size); done.resize(size); graph.resize(size); reset(); } void reset(){ ll N = (ll)graph.size(); FOR(i, 0, N){ d[i] = inf; done[i] = false; } } ll distance(int i){ if((ll)d.size()<=i) return -1; return d[i]; } void print_graph(){ FOR(i, 0, (ll)graph.size()){ cout << i << " -> "; for(auto edge : graph[i]){ cout << edge.to << " "; } cout << endl; } p("distance"); FOR(i, 0, (ll)graph.size()){ ll d = distance(i); cout << i << " " << d << endl; } } void register_edge(ll a, ll b, ll cost){ auto edge = Edge(b, cost); graph[a].push_back(edge); } // 双方向 void register_edge2(ll a, ll b, ll cost){ register_edge(a, b, cost); register_edge(b, a, cost); } void calc_shortest_path(ll from=0){ ll N = graph.size(); if(from<0 || from>=N){ cout << "index error" << endl; exit(0); } priority_queue, greater > que; auto node = Node(); // 始点 node.index = from; node.distance = 0; que.push(node); while(!que.empty()){ // 1番distanceが小さいノード Node n = que.top(); que.pop(); if(done[n.index]){ continue; } done[n.index] = true; d[n.index] = n.distance; auto edge_list = graph[n.index]; for(auto edge : edge_list){ // 短くなるノードがあれば if(!done[edge.to] && n.distance + edge.cost < d[edge.to]){ ll shorter_distance = n.distance + edge.cost; que.push(Node(shorter_distance, edge.to)); } } } } }; int main(){ cin.tie(0); ios::sync_with_stdio(false); // input ll N,M,P,Q,T;cin>>N>>M>>P>>Q>>T; P--; Q--; // O, P, Q Dijkstra dij[3]; rep(i, 3) dij[i].initialize(N); rep(i, M){ ll a,b,c; cin>>a>>b>>c; a--; b--; rep(j, 3){ dij[j].register_edge2(a,b,c); } } dij[0].calc_shortest_path(0); dij[1].calc_shortest_path(P); dij[2].calc_shortest_path(Q); if(dij[0].distance(P) + dij[1].distance(Q) + dij[2].distance(0) <= T){ p(T); return 0; } ll ma = max(2 * dij[0].distance(P), 2 * dij[0].distance(Q)); if(ma > T){ p(-1); return 0; } debug("別行動が必要"); ll min_t = inf; // 別行動する時間の最小値 // x, y全探索 rep(x, N){ rep(y, N){ // 分岐 ll ma = max(dij[1].distance(x) + dij[1].distance(y), dij[2].distance(x) + dij[2].distance(y)); // 共通 ll d = dij[0].distance(x) + dij[0].distance(y); if(ma+d <= T){ // 可能 // 別行動する時間 ll t = max(dij[1].distance(x) + dij[1].distance(y), dij[2].distance(x) + dij[2].distance(y)); chmin(min_t, t); }else{ // 不可能 // skip } } } ll ans = T - min_t; p(ans); return 0; }