#pragma region Macros #include #include #if defined(LOCAL) || defined(_DEBUG) #include "debug.hpp" #else #define O(...) #define START() #define STOP() #define MEMORY() #endif using namespace std; #define REP(i, n) for(int i=0, i##_len=(n); i=0; --i) #define FOR(i, n, m) for(int i=(m), i##_len=(n); ibool chmax(T &a, const U &b) { if (a<(T)b) { a=(T)b; return 1; } return 0; } templatebool chmin(T &a, const U &b) { if (b<(T)a) { a=(T)b; return 1; } return 0; } #define vec vector #define umap unordered_map #define uset unordered_set using ll = long long; using ld = long double; using P = pair; using Tup = tuple; using vl = vec; #define fi first #define se second #define el endl constexpr ll INF = numeric_limits::max()/2-1; template istream &operator>>(istream &stream, vec& o){REP(i, o.size())stream >> o[i];return stream;} #define I(T, ...) ;T __VA_ARGS__;__i(__VA_ARGS__); void __i() {} template void __i(T&& o, Ts&&... args){cin >> o;__i(forward(args)...);} #pragma endregion void Main(); int main(){ std::cin.tie(nullptr); std::cout << std::fixed << std::setprecision(15); Main(); MEMORY(); return 0; } #pragma region graph struct edge{ ll from, to, cost; bool operator<(const edge& r) const{return cost(const edge& r) const{return cost>r.cost;} }; struct graph{ ll V; vector > G; graph(ll n){ init(n); } void init(ll n){ V = n; G.resize(V); } // 無向グラフ void add_edge(ll s, ll t, ll cost = 1){ add_diedge(s, t, cost); add_diedge(t, s, cost); } // 有向グラフ void add_diedge(ll s, ll t, ll cost = 1){ if(s < 0 || t < 0 || s >= V || t >= V) return; G[s].push_back({s, t, cost}); } auto pos2d(ll height, ll width){ return [height, width](ll y, ll x){ return (y < 0 || y >= height || x < 0 || x >= width) ? -1 : y*width + x; }; } }; #pragma endregion // O(|E|log|V|) vl dijkstra(const graph& g, ll s){ vector d(g.V, INF); umap ret; ret[s] = d[s] = 0; priority_queue, greater

> que; que.push({0, s}); while(!que.empty()){ auto [c, v] = que.top(); que.pop(); if(d[v]d[v]+e.cost){ ret[e.to] = d[e.to] = d[v]+e.cost; que.push({d[e.to],e.to}); } } } return d; } // x∈[l, r] | f(x) = true となる最大のxを返す template ll binarySearch(ll l, ll r, Func f){ while(l < r){ const ll m = (l+r+1)/2; if(f(m)) l = m; else r = m-1; } return l; } void Main(){ I(ll, n, m, x); vl u(m), v(m), a(m), b(m); REP(i, m) { cin >> u[i] >> v[i] >> a[i] >> b[i]; u[i]--; v[i]--; } ll ans = binarySearch(-1, 1e9, [&](ll mid) { // グラフの構成 graph g(n); REP(i, m) { if(mid <= b[i]) { g.add_edge(u[i], v[i], a[i]); } } auto d = dijkstra(g, 0); return d[n-1] <= x; }); cout << ans << el; }