#include #include #define rep(i,b) for(int i=0;i=0;i--) #define rep1(i,b) for(int i=1;i=x;i--) #define fore(i,a) for(auto& i:a) #define rng(x) (x).begin(), (x).end() #define rrng(x) (x).rbegin(), (x).rend() #define sz(x) ((int)(x).size()) #define pb push_back #define fi first #define se second #define pcnt __builtin_popcountll using namespace std; using namespace atcoder; using ll = long long; using ld = long double; template using mpq = priority_queue, greater>; template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (b ll sumv(const vector&a){ll res(0);for(auto&&x:a)res+=x;return res;} bool yn(bool a) { if(a) {cout << "Yes" << endl; return true;} else {cout << "No" << endl; return false;}} #define retval(x) {cout << #x << endl; return;} #define cout2(x,y) cout << x << " " << y << endl; #define coutp(p) cout << p.fi << " " << p.se << endl; #define out cout << ans << endl; #define outd cout << fixed << setprecision(20) << ans << endl; #define outm cout << ans.val() << endl; #define outv fore(yans , ans) cout << yans << "\n"; #define outdv fore(yans , ans) cout << yans.val() << "\n"; #define assertmle(x) if (!(x)) {vi v(3e8);} #define asserttle(x) if (!(x)) {while(1){}} #define coutv(v) {fore(vy , v) {cout << vy << " ";} cout << endl;} #define coutv2(v) fore(vy , v) cout << vy << "\n"; #define coutvm(v) {fore(vy , v) {cout << vy.val() << " ";} cout << endl;} #define coutvm2(v) fore(vy , v) cout << vy.val() << "\n"; using pll = pair;using pil = pair;using pli = pair;using pii = pair;using pdd = pair; using vi = vector;using vd = vector;using vl = vector;using vs = vector;using vb = vector; using vpii = vector;using vpli = vector;using vpll = vector;using vpil = vector; using vvi = vector>;using vvl = vector>;using vvs = vector>;using vvb = vector>; using vvpii = vector>;using vvpli = vector>;using vvpll = vector;using vvpil = vector; using mint = modint998244353; //using mint = modint1000000007; //using mint = dynamic_modint<0>; using vm = vector; using vvm = vector>; vector dx={1,0,-1,0,1,1,-1,-1},dy={0,1,0,-1,1,-1,1,-1}; ll gcd(ll a, ll b) { return a?gcd(b%a,a):b;} ll lcm(ll a, ll b) { return a/gcd(a,b)*b;} #define yes {cout <<"Yes"<=2 && y==e[x][0]){ swap(e[x][0], e[x][1]); }else{ continue; } } depth[y] = depth[x] + 1; par[y] = x; _dfs_sz(y); size[x] += size[y]; if (size[y] > size[e[x][0]]) swap(y, e[x][0]); } } void _dfs_hld(int x) { down[x] = _id++; for (int& y : e[x]) { if (y == par[x]) continue; nxt[y] = (y == e[x][0]) ? nxt[x] : y; _dfs_hld(y); } up[x] = _id; } // [u, v) vpii ascend(int a, int b) const { vpii res; while (nxt[a]!=nxt[b]){ res.emplace_back(down[a], down[nxt[a]]); a = par[nxt[a]]; } if (a != b) res.emplace_back(down[a], down[b] + 1); return res; } // (u, v] vpii descend(int a, int b) const { if (a == b) return {}; if (nxt[a] == nxt[b]) return {{down[a] + 1, down[b]}}; vpii res = descend(a, par[nxt[b]]); res.emplace_back(down[nxt[b]], down[b]); return res; } public: int n; vvi e; vi size, depth, down, up, nxt, par; HeavyLightDecomposition(const vvi& _e, int root = 0) : e(_e){ n = sz(e); _id = 0; size = vi(n); depth = vi(n); down = vi(n,-1); up = vi(n,-1); nxt = vi(n,root); par = vi(n,root); _dfs_sz(root); _dfs_hld(root); } pii idx(int i) const { return make_pair(down[i], up[i]); } template void path_query(int u, int v, bool vertex, const F &f) { int l = lca(u, v); for (auto &&[a, b] : ascend(u, l)){ int s = a + 1, t = b; s > t ? f(t, s) : f(s, t); } if (vertex) f(down[l], down[l] + 1); for (auto &&[a, b] : descend(l, v)){ int s = a, t = b + 1; s > t ? f(t, s) : f(s, t); } } template void subtree_query(int u, bool vertex, const F &f){ f(down[u] + int(!vertex), up[u]); } int lca(int a, int b){ while (nxt[a] != nxt[b]){ if (down[a] < down[b]) swap(a, b); a = par[nxt[a]]; } return depth[a] < depth[b] ? a : b; } int dist(int a, int b) { return depth[a] + depth[b] - depth[lca(a, b)] * 2; } }; // HeavyLightDecomposition // // pravate (コンストラクタの中のみで実行される) // _dfs_sz : 部分木のサイズを計算 // _dfs_hld : 親,オイラーツアーのidxを計算 // public // メンバ変数 // int n : 頂点数 // vvi e : 木の隣接頂点リスト // vi size[x] : xを根とする部分木のサイズ , depth[x] : xの深さ , down[x] up[x] : xの行きがけ(戻りがけ)順番号 // nxt[x] : xが属するheavyPathの最祖先の親(最祖先がrootの場合はroot) , par[x] : xの親 // メンバ関数 // HeavyLightDecomposition(const vvi& _e, int root = 0) // : eは木の隣接頂点リスト,rootは根 // vpii idx(int x) : return {down[x], up[x]} // void path_query(int u, int v, bool vertex, const F &f) // : u-vパス上でクエリfを実行,クエリ要素が頂点であるならvertex=trueとする // void subtree_query(int u, bool vertex, const F &f) // : uの部分木全体にクエリを実行 // int lca(a,b) : a,bのlca // int dist(int a, int b) : a-bパスの長さ ll op(ll a,ll b) { return max(a,b); } ll ee(){ return 0; } void solve(){ ll n,k,c; cin>>n>>k>>c; vl u(k),v(k),w(k),p(k); vpli ed(k); rep(i,k){ cin>>u[i]>>v[i]>>w[i]>>p[i]; u[i]--; v[i]--; ed[i] = {w[i], i}; } dsu d(n); sort(rng(ed)); ll sum = 0; ll mx = 0; vvi e(n); vi idx; fore(y, ed){ int a = u[y.se]; int b = v[y.se]; if (d.same(a,b)) continue; d.merge(a,b); sum += w[y.se]; e[a].pb(b); e[b].pb(a); idx.pb(y.se); chmax(mx, p[y.se]); } if (sum > c) retval(-1); HeavyLightDecomposition hld(e); segtree sg(n); fore(y , idx){ int id = max(hld.down[u[y]], hld.down[v[y]]) - 1; sg.set(id, w[y]); } ll ans = mx; rep(i,k){ ll pro = 0; auto f = [&](ll a,ll b)->void{ chmax(pro, sg.prod(a,b)); }; int a = u[i]; int b = v[i]; hld.path_query(a,b,false,f); if (sum + (w[i] - pro) > c) continue; chmax(ans, p[i]); } out; return; } int main(){ ios::sync_with_stdio(false); cin.tie(0); int t = 1; //cin>>t; rep(i,t){ solve(); } return 0; }