#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #if __has_include() #include #endif #define GET_MACRO(_1, _2, _3, NAME, ...) NAME #define _rep(i, n) _rep2(i, 0, n) #define _rep2(i, a, b) for (int i = (int)(a); i < (int)(b); i++) #define rep(...) GET_MACRO(__VA_ARGS__, _rep2, _rep)(__VA_ARGS__) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define UNIQUE(x) \ std::sort((x).begin(), (x).end()); \ (x).erase(std::unique((x).begin(), (x).end()), (x).end()) using i64 = long long; template bool chmin(T& a, const U& b) { return (b < a) ? (a = b, true) : false; } template bool chmax(T& a, const U& b) { return (b > a) ? (a = b, true) : false; } inline void YesNo(bool f = 0, string yes = "Yes", string no = "No") { std::cout << (f ? yes : no) << "\n"; } namespace io { template istream& operator>>(istream& i, vector& v) { rep(j, v.size()) i >> v[j]; return i; } template string join(vector& v) { stringstream s; rep(i, v.size()) s << ' ' << v[i]; return s.str().substr(1); } template ostream& operator<<(ostream& o, vector& v) { if (v.size()) o << join(v); return o; } template string join(vector>& vv) { string s = "\n"; rep(i, vv.size()) s += join(vv[i]) + "\n"; return s; } template ostream& operator<<(ostream& o, vector>& vv) { if (vv.size()) o << join(vv); return o; } template istream& operator>>(istream& i, pair& p) { i >> p.first >> p.second; return i; } template ostream& operator<<(ostream& o, pair& p) { o << p.first << " " << p.second; return o; } void print() { cout << "\n"; } template void print(Head&& head, Tail&&... tail) { cout << head; if (sizeof...(tail)) cout << ' '; print(std::forward(tail)...); } void in() {} template void in(Head&& head, Tail&&... tail) { cin >> head; in(std::forward(tail)...); } } // namespace io using namespace io; namespace useful { long long modpow(long long a, long long b, long long mod) { long long res = 1; while (b) { if (b & 1) res *= a, res %= mod; a *= a; a %= mod; b >>= 1; } return res; } bool is_pow2(long long x) { return x > 0 && (x & (x - 1)) == 0; } template void rearrange(vector& a, vector& p) { vector b = a; for (int i = 0; i < int(a.size()); i++) { a[i] = b[p[i]]; } return; } template vector> rle_sequence(T& a) { vector> res; int n = a.size(); if (n == 1) return vector>{{a[0], 1}}; int l = 1; rep(i, n - 1) { if (a[i] == a[i + 1]) l++; else { res.emplace_back(a[i], l); l = 1; } } res.emplace_back(a.back(), l); return res; } vector> rle_string(string a) { vector> res; int n = a.size(); if (n == 1) return vector>{{a[0], 1}}; int l = 1; rep(i, n - 1) { if (a[i] == a[i + 1]) l++; else { res.emplace_back(a[i], l); l = 1; } } res.emplace_back(a.back(), l); return res; } vector linear_sieve(int n) { vector primes; vector res(n + 1); iota(all(res), 0); for (int i = 2; i <= n; i++) { if (res[i] == i) primes.emplace_back(i); for (auto j : primes) { if (j * i > n) break; res[j * i] = j; } } return res; // return primes; } template vector dijkstra(vector>>& graph, int start) { int n = graph.size(); vector res(n, 2e18); res[start] = 0; priority_queue, vector>, greater>> que; que.push({0, start}); while (!que.empty()) { auto [c, v] = que.top(); que.pop(); if (res[v] < c) continue; for (auto [nxt, cost] : graph[v]) { auto x = c + cost; if (x < res[nxt]) { res[nxt] = x; que.push({x, nxt}); } } } return res; } } // namespace useful using namespace useful; struct HLD { int n; vector> g; vector sz; vector head; vector in; vector rev; vector out; vector par; HLD(vector> edge) : n(edge.size()), g(edge) { sz = vector(n); head = vector(n); in = vector(n); rev = vector(n); par = vector(n); out = vector(n); } void dfs_sz(int v, int p) { if (g[v].size() && g[v][0] == p) swap(g[v][0], g[v].back()); sz[v] = 1; for (auto& u : g[v]) { if (u == p) continue; dfs_sz(u, v); sz[v] += sz[u]; if (sz[u] > sz[g[v][0]]) swap(u, g[v][0]); } } void dfs_hld(int v, int p, int& t) { in[v] = t++; rev[in[v]] = v; par[v] = p; for (auto u : g[v]) { if (u == p) continue; head[u] = (u == g[v][0] ? head[v] : u); dfs_hld(u, v, t); } out[v] = t; } void build() { dfs_sz(0, -1); int t = 0; dfs_hld(0, -1, t); } int lca(int u, int v) { while (true) { if (in[u] > in[v]) swap(u, v); if (head[u] == head[v]) return u; v = par[head[v]]; } } vector renum() { return in; } pair>, vector>> query(int u, int v, bool f = false) { // 返り値は閉区間, 辺属性未verify, 非可換対応 vector> l, r; while (true) { if (head[u] == head[v]) break; if (in[u] > in[v]) { l.emplace_back(in[head[u]], in[u]); u = par[head[u]]; } else { r.emplace_back(in[head[v]], in[v]); v = par[head[v]]; } } if (in[u] > in[v]) { l.emplace_back(in[v] + f, in[u]); } else { r.emplace_back(in[u] + f, in[v]); } reverse(all(r)); return {l, r}; } pair subtree(int u) { return {in[u], out[u]}; } }; template struct SparseTable { int n; int log; std::vector> table; std::vector bitlength; SparseTable(std::vector& v) : n(v.size()) { bitlength = std::vector(n + 1); for (int i = 2; i <= n; i++) { bitlength[i] = bitlength[i >> 1] + 1; } log = bitlength.back(); table = std::vector(log + 1, std::vector(n)); for (int i = 0; i < n; i++) table[0][i] = v[i]; for (int j = 0; j < log; j++) { for (int i = 0; i < n; i++) { table[j + 1][i] = op(table[j][i], table[j][min(n - 1, i + (1 << j))]); } } } T query(int l, int r) { // query [l, r) assert(0 <= l && l <= r && r <= n); int len = r - l; return op(table[bitlength[len]][l], table[bitlength[len]][r - (1 << bitlength[len])]); } }; i64 op(i64 a, i64 b) { return max(a, b); } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); i64 n, m, c; in(n, m, c); vector> edge(m); rep(i, m) { i64 u, v, w, p; in(u, v, w, p); u--, v--; edge[i][0] = u; edge[i][1] = v; edge[i][2] = w; edge[i][3] = p; } sort(all(edge), [&](auto a, auto b) { return a[2] < b[2]; }); atcoder::dsu uf(n); vector> tree(n); i64 icost = 0; i64 ans = 0; set> S; for (auto& [u, v, w, p] : edge) { if (uf.same(u, v)) continue; tree[u].emplace_back(v); tree[v].emplace_back(u); S.emplace(u, v); uf.merge(u, v); icost += w; chmax(ans, p); } if (icost > c) { print(-1); return 0; } HLD hld(tree); hld.build(); auto re = hld.renum(); auto par = hld.par; vector table(n); for (auto& [u, v, w, p] : edge) { if (!S.count(make_pair(u, v))) continue; if (par[u] == v) table[re[u]] = w; else table[re[v]] = w; } SparseTable ST(table); for (auto& [u, v, w, p] : edge) { if (S.count(make_pair(u, v))) continue; auto&& [L, R] = hld.query(u, v); i64 tm = 0; for (auto [l, r] : L) chmax(tm, ST.query(l, r + 1)); for (auto [l, r] : R) chmax(tm, ST.query(l, r + 1)); if (icost - tm + w <= c) chmax(ans, p); } print(ans); }