#line 2 "data_structure/segtree.hpp" #include #include namespace ebi { template struct segtree { private: int n; int sz; std::vector data; void update(int i) { data[i] = op(data[2 * i], data[2 * i + 1]); } public: segtree(int n_) : segtree(std::vector(n_, e())) {} segtree(const std::vector &v) : n((int)v.size()), sz(1) { while (sz < n) sz *= 2; data = std::vector(2 * sz, e()); for (int i = 0; i < n; i++) { data[sz + i] = v[i]; } for (int i = sz - 1; i >= 1; i--) update(i); } void set(int p, S x) { assert(0 <= p && p < n); p += sz; data[p] = x; while (p > 1) { p >>= 1; update(p); } } S get(int p) const { assert(0 <= p && p < n); return data[p + sz]; } S prod(int l, int r) const { assert(0 <= l && l <= r && r <= n); S sml = e(), smr = e(); l += sz; r += sz; while (l < r) { if (l & 1) sml = op(sml, data[l++]); if (r & 1) smr = op(data[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S all_prod() const { return data[1]; } template int max_right(int l, F f) const { assert(0 <= l && l < n); assert(f(e())); if (l == n) return n; l += sz; S sm = e(); do { while (l % 2 == 0) l >>= 1; if (!f(op(sm, data[l]))) { while (l < sz) { l = 2 * l; if (f(op(sm, data[l]))) { sm = op(sm, data[l]); l++; } } return l - sz; } sm = op(sm, data[l]); l++; } while ((l & -l) != l); return n; } template int min_left(int r, F f) const { assert(0 <= r && r <= n); assert(f(e())); if (r == 0) return 0; r += sz; S sm = e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!f(op(data[r], sm))) { while (r < sz) { r = 2 * r + 1; if (f(op(data[r], sm))) { sm = op(data[r], sm); r--; } } return r + 1 - sz; } sm = op(data[r], sm); } while ((r & -r) != r); return 0; } S operator[](int p) const { return data[sz + p]; } }; } // namespace ebi #line 2 "data_structure/unionfind.hpp" #line 4 "data_structure/unionfind.hpp" namespace ebi { struct unionfind { private: std::vector par; public: unionfind(int n = 0) : par(n, -1) {} bool same(int x, int y) { return leader(x) == leader(y); } bool merge(int x, int y) { x = leader(x); y = leader(y); if (x == y) return false; if (par[x] > par[y]) std::swap(x, y); par[x] += par[y]; par[y] = x; return true; } int leader(int x) { if (par[x] < 0) return x; else return par[x] = leader(par[x]); } int size(int x) { return -par[leader(x)]; } int count_group() { int c = 0; for (int i = 0; i < int(par.size()); i++) { if (par[i] < 0) c++; } return c; } void clear() { for (int i = 0; i < int(par.size()); i++) { par[i] = -1; } } }; } // namespace ebi #line 1 "template/template.hpp" #include #define rep(i, a, n) for (int i = (int)(a); i < (int)(n); i++) #define rrep(i, a, n) for (int i = ((int)(n)-1); i >= (int)(a); i--) #define Rep(i, a, n) for (i64 i = (i64)(a); i < (i64)(n); i++) #define RRep(i, a, n) for (i64 i = ((i64)(n)-i64(1)); i >= (i64)(a); i--) #define all(v) (v).begin(), (v).end() #define rall(v) (v).rbegin(), (v).rend() #line 2 "template/debug_template.hpp" #line 4 "template/debug_template.hpp" namespace ebi { #ifdef LOCAL #define debug(...) \ std::cerr << "LINE: " << __LINE__ << " [" << #__VA_ARGS__ << "]:", \ debug_out(__VA_ARGS__) #else #define debug(...) #endif void debug_out() { std::cerr << std::endl; } template void debug_out(Head h, Tail... t) { std::cerr << " " << h; if (sizeof...(t) > 0) std::cerr << " :"; debug_out(t...); } } // namespace ebi #line 2 "template/int_alias.hpp" #line 4 "template/int_alias.hpp" namespace ebi { using ld = long double; using std::size_t; using i8 = std::int8_t; using u8 = std::uint8_t; using i16 = std::int16_t; using u16 = std::uint16_t; using i32 = std::int32_t; using u32 = std::uint32_t; using i64 = std::int64_t; using u64 = std::uint64_t; using i128 = __int128_t; using u128 = __uint128_t; } // namespace ebi #line 2 "template/io.hpp" #line 5 "template/io.hpp" #include #line 7 "template/io.hpp" namespace ebi { template std::ostream &operator<<(std::ostream &os, const std::pair &pa) { return os << pa.first << " " << pa.second; } template std::istream &operator>>(std::istream &os, std::pair &pa) { return os >> pa.first >> pa.second; } template std::ostream &operator<<(std::ostream &os, const std::vector &vec) { for (std::size_t i = 0; i < vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : " "); return os; } template std::istream &operator>>(std::istream &os, std::vector &vec) { for (T &e : vec) std::cin >> e; return os; } template std::ostream &operator<<(std::ostream &os, const std::optional &opt) { if (opt) { os << opt.value(); } else { os << "invalid value"; } return os; } void fast_io() { std::cout << std::fixed << std::setprecision(15); std::cin.tie(nullptr); std::ios::sync_with_stdio(false); } } // namespace ebi #line 2 "template/utility.hpp" #line 5 "template/utility.hpp" #line 2 "graph/template.hpp" #line 4 "graph/template.hpp" namespace ebi { template struct Edge { int to; T cost; Edge(int _to, T _cost = 1) : to(_to), cost(_cost) {} }; template struct Graph : std::vector>> { using std::vector>>::vector; void add_edge(int u, int v, T w, bool directed = false) { (*this)[u].emplace_back(v, w); if (directed) return; (*this)[v].emplace_back(u, w); } }; struct graph : std::vector> { using std::vector>::vector; void add_edge(int u, int v, bool directed = false) { (*this)[u].emplace_back(v); if (directed) return; (*this)[v].emplace_back(u); } }; } // namespace ebi #line 8 "template/utility.hpp" namespace ebi { template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } template T safe_ceil(T a, T b) { if (a % b == 0) return a / b; else if (a >= 0) return (a / b) + 1; else return -((-a) / b); } template T safe_floor(T a, T b) { if (a % b == 0) return a / b; else if (a >= 0) return a / b; else return -((-a) / b) - 1; } constexpr i64 LNF = std::numeric_limits::max() / 4; constexpr int INF = std::numeric_limits::max() / 2; const std::vector dy = {1, 0, -1, 0, 1, 1, -1, -1}; const std::vector dx = {0, 1, 0, -1, 1, -1, 1, -1}; } // namespace ebi #line 2 "tree/heavy_light_decomposition.hpp" #line 6 "tree/heavy_light_decomposition.hpp" namespace ebi { struct heavy_light_decomposition { private: void dfs_sz(int v) { for (auto &nv : g[v]) { if (nv == par[v]) continue; par[nv] = v; depth[nv] = depth[v] + 1; dfs_sz(nv); sz[v] += sz[nv]; if (sz[nv] > sz[g[v][0]] || g[v][0] == par[v]) std::swap(nv, g[v][0]); } } void dfs_hld(int v) { in[v] = num++; rev[in[v]] = v; for (auto nv : g[v]) { if (nv == par[v]) continue; nxt[nv] = (nv == g[v][0] ? nxt[v] : nv); dfs_hld(nv); } out[v] = num; } // [u, v) パスの取得 (v は u の祖先) std::vector> ascend(int u, int v) const { std::vector> res; while (nxt[u] != nxt[v]) { res.emplace_back(in[u], in[nxt[u]]); u = par[nxt[u]]; } if (u != v) res.emplace_back(in[u], in[v] + 1); return res; } // (u, v] パスの取得 (u は v の祖先) std::vector> descend(int u, int v) const { if (u == v) return {}; if (nxt[u] == nxt[v]) return {{in[u] + 1, in[v]}}; auto res = descend(u, par[nxt[v]]); res.emplace_back(in[nxt[v]], in[v]); return res; } public: heavy_light_decomposition(const std::vector> &gh, int root = 0) : n((int)gh.size()), g(gh), sz(n, 1), in(n), out(n), nxt(n), par(n, -1), depth(n, 0), rev(n) { nxt[root] = root; dfs_sz(root); dfs_hld(root); } int idx(int u) const { return in[u]; } int rev_idx(int i) const { return rev[i]; } int la(int v, int k) const { while (1) { int u = nxt[v]; if (in[u] <= in[v] - k) return rev[in[v] - k]; k -= in[v] - in[u] + 1; v = par[u]; } } int lca(int u, int v) const { while (nxt[u] != nxt[v]) { if (in[u] < in[v]) std::swap(u, v); u = par[nxt[u]]; } return depth[u] < depth[v] ? u : v; } int jump(int s, int t, int i) const { if (i == 0) return s; int l = lca(s, t); int d = depth[s] + depth[t] - depth[l] * 2; if (d < i) return -1; if (depth[s] - depth[l] >= i) return la(s, i); i = d - i; return la(t, i); } std::vector path(int s, int t) const { int l = lca(s, t); std::vector a, b; for (; s != l; s = par[s]) a.emplace_back(s); for (; t != l; t = par[t]) b.emplace_back(t); a.emplace_back(l); std::reverse(b.begin(), b.end()); a.insert(a.end(), b.begin(), b.end()); return a; } int parent(int u) const { return par[u]; } int distance(int u, int v) const { return depth[u] + depth[v] - 2 * depth[lca(u, v)]; } int distance_from_root(int v) const { return depth[v]; } bool at_path(int u, int v, int s) const { return distance(u, v) == distance(u, s) + distance(s, v); } template void path_noncommutative_query(int u, int v, bool vertex, const F &f) const { int l = lca(u, v); for (auto [a, b] : ascend(u, l)) f(a + 1, b); if (vertex) f(in[l], in[l] + 1); for (auto [a, b] : descend(l, v)) f(a, b + 1); } std::vector> path_sections(int u, int v, bool vertex) const { int l = lca(u, v); std::vector> sections; for (auto [a, b] : ascend(u, l)) sections.emplace_back(a + 1, b); if (vertex) sections.emplace_back(in[l], in[l] + 1); for (auto [a, b] : descend(l, v)) sections.emplace_back(a, b + 1); return sections; } template int max_path(int u, int v, bool vertex, F binary_search) const { int prev = -1; int l = lca(u, v); for (auto [a, b] : ascend(u, l)) { a++; int m = binary_search(a, b); if (m == b) { prev = rev[b]; } else { return (m == a ? prev : rev[m]); } } if (vertex) { int m = binary_search(in[l], in[l] + 1); if (m == in[l]) { return prev; } else { prev = l; } } for (auto [a, b] : descend(l, v)) { b++; int m = binary_search(a, b); if (m == b) { prev = rev[b - 1]; } else { return m == a ? prev : rev[m - 1]; } } return v; } template void subtree_query(int u, bool vertex, const F &f) { f(in[u] + int(!vertex), out[u]); } const std::vector &dfs_order() const { return rev; } std::vector> lca_based_auxiliary_tree_dfs_order( std::vector vs) const; std::pair, std::vector>> lca_based_auxiliary_tree(std::vector vs) const; private: int n; std::vector> g; std::vector sz, in, out, nxt, par, depth, rev; int num = 0; }; } // namespace ebi #line 5 "a.cpp" namespace ebi { int op(int a, int b) { return a < b ? a : b; } int e() { return INF; } void main_() { int n, k; i64 c; std::cin >> n >> k >> c; std::vector> edges(k); for (auto &[u, v, w, p] : edges) { std::cin >> u >> v >> w >> p; u--; v--; } std::sort(all(edges), [&](auto p, auto q) -> bool { return p[3] < q[3]; }); unionfind uf(n); graph g(n); i64 sum = 0; std::vector used; for (int i = 0; auto [u, v, w, p] : edges) { if (!uf.same(u, v)) { uf.merge(u, v); sum += w; g.add_edge(u, v); used.emplace_back(i); } i++; } heavy_light_decomposition hld(g); std::vector d(n, INF); for(auto i: used) { auto [u, v, w, p] = edges[i]; if(hld.parent(v) == u) std::swap(u, v); d[hld.idx(u)] = w; } int ans = -1; segtree seg(d); auto get_min = [&](int u, int v) -> int { int ret = INF; auto f = [&](int l, int r) -> void { if(l > r) std::swap(l, r); chmin(ret, seg.prod(l, r)); }; hld.path_noncommutative_query(u, v, false, f); return ret; }; for(auto [u, v, w, p]: edges) { int min = get_min(u, v); if(sum - min + w <= c) { chmax(ans, p); } } std::cout << ans << '\n'; } } // namespace ebi int main() { ebi::fast_io(); int t = 1; // std::cin >> t; while (t--) { ebi::main_(); } return 0; }