#include "bits/stdc++.h" #include #include #define ALL(x) (x).begin(), (x).end() #define RALL(x) (x).rbegin(), (x).rend() #define SZ(x) ((lint)(x).size()) #define FOR(i, begin, end) for(lint i=(begin),i##_end_=(end);i=i##_begin_;--i) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) #define endk '\n' using namespace std; typedef unsigned long long _ulong; typedef long long int lint; typedef long double ld; typedef pair plint; typedef pair pld; struct fast_ios { fast_ios() { cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(30); }; } fast_ios_; template auto add = [](T a, T b) -> T { return a + b; }; template auto mul = [](T a, T b) -> T { return a * b; }; template auto f_max = [](T a, T b) -> T { return max(a, b); }; template auto f_min = [](T a, T b) -> T { return min(a, b); }; template using V = vector; using Vl = V; using VVl = V; using VVVl = V>; template< typename T > ostream& operator<<(ostream& os, const vector< T >& v) { for (int i = 0; i < (int)v.size(); i++) os << v[i] << (i + 1 != v.size() ? " " : ""); return os; } template< typename T >istream& operator>>(istream& is, vector< T >& v) { for (T& in : v) is >> in; return is; } template bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } template T div_floor(T a, T b) { if (b < 0) a *= -1, b *= -1; return a >= 0 ? a / b : (a + 1) / b - 1; } template T div_ceil(T a, T b) { if (b < 0) a *= -1, b *= -1; return a > 0 ? (a - 1) / b + 1 : a / b; } template struct rec { F f; rec(F&& f_) : f(std::forward(f_)) {} template auto operator()(Args &&... args) const { return f(*this, std::forward(args)...); } }; lint gcd(lint a, lint b) { if (b == 0) return a; else return gcd(b, a % b); } lint digit(lint a) { return (lint)log10(a); } lint e_dist(plint a, plint b) { return abs(a.first - b.first) * abs(a.first - b.first) + abs(a.second - b.second) * abs(a.second - b.second); } lint m_dist(plint a, plint b) { return abs(a.first - b.first) + abs(a.second - b.second); } bool check_overflow(lint a, lint b, lint limit) { if (b == 0) return false; return a > limit / b; } // a * b > c => true void Worshall_Floyd(VVl& g) { REP(k, SZ(g)) REP(i, SZ(g)) REP(j, SZ(g)) chmin(g[i][j], g[i][k] + g[k][j]); } const lint MOD1000000007 = 1000000007, MOD998244353 = 998244353, INF = 2e13; lint dx[8] = { 0, 1, 0, -1, 1, -1, 1, -1 }, dy[8] = { 1, 0, -1, 0, -1, -1, 1, 1 }; bool YN(bool flag) { cout << (flag ? "YES" : "NO") << endk; return flag; } bool yn(bool flag) { cout << (flag ? "Yes" : "No") << endk; return flag; } struct Edge { lint from, to; lint cost; Edge() { } Edge(lint u, lint v, lint c) { cost = c; from = u; to = v; } bool operator<(const Edge& e) const { return cost < e.cost; } }; struct WeightedEdge { lint to; lint cost; WeightedEdge(lint v, lint c) { to = v; cost = c; } bool operator<(const WeightedEdge& e) const { return cost < e.cost; } }; using WeightedGraph = V>; typedef pair tlint; typedef pair pld; typedef pair qlint; typedef pair pEd; typedef pair> vVl; typedef pair pstr; typedef pair pint; struct UnionFind { public: UnionFind() : _n(0) {} UnionFind(int n) : _n(n), parent_or_size(n, -1) {} int merge(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); int x = leader(a), y = leader(b); if (x == y) return x; if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y); if (used_count) { if (count_in_set[x].size() < count_in_set[y].size()) { std::swap(count_in_set[x], count_in_set[y]); } for (auto p : count_in_set[y]) { count_in_set[x][p.first] += p.second; } } if (set_operate) { root_values[x] = f(root_values[y], root_values[x]); } parent_or_size[x] += parent_or_size[y]; parent_or_size[y] = x; return x; } bool same(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); return leader(a) == leader(b); } int leader(int a) { assert(0 <= a && a < _n); if (parent_or_size[a] < 0) return a; return parent_or_size[a] = leader(parent_or_size[a]); } int size(int a) { assert(0 <= a && a < _n); return -parent_or_size[leader(a)]; } std::vector> groups() { std::vector leader_buf(_n), group_size(_n); for (int i = 0; i < _n; i++) { leader_buf[i] = leader(i); group_size[leader_buf[i]]++; } std::vector> result(_n); for (int i = 0; i < _n; i++) { result[i].reserve(group_size[i]); } for (int i = 0; i < _n; i++) { result[leader_buf[i]].push_back(i); } result.erase( std::remove_if(result.begin(), result.end(), [&](const std::vector& v) { return v.empty(); }), result.end()); return result; } //update root calc //set by set operations void set_operate_and_value(std::vector array, function _f) { f = _f; root_values = array; set_operate = true; } lint get_set_value(int a) { return root_values[leader(a)]; } //regist count void regist_count(int a, int label) { if (!used_count) { used_count = true; count_in_set.assign(_n, std::map()); } count_in_set[leader(a)][label]++; } int get_count(int a, int label) { if (!used_count) return -1; return count_in_set[leader(a)][label]; } private: int _n; std::vector parent_or_size; std::vector> count_in_set; bool used_count = false; std::vector root_values; function f; bool set_operate = false; }; struct DoublingLowestCommonAncestor { int LOG = 2; vector< int > dep; const WeightedGraph& g; vector< vector< int > > table; vector< vector< lint > > table2; DoublingLowestCommonAncestor(const WeightedGraph& g) : g(g), dep(g.size()) { int curr = 1; while (curr < g.size()) { curr *= 2; LOG++; } table.assign(LOG, vector< int >(g.size(), -1)); table2.assign(LOG, vector< lint >(g.size(), INF)); } void dfs(int idx, int par, int w, int d) { table[0][idx] = par; table2[0][idx] = w; dep[idx] = d; for (auto& to : g[idx]) { if (to.to != par) dfs(to.to, idx, to.cost, d + 1); } } void build() { dfs(0, -1, INF, 0); for (int k = 0; k + 1 < LOG; k++) { for (int i = 0; i < table[k].size(); i++) { if (table[k][i] == -1) table[k + 1][i] = -1; else table[k + 1][i] = table[k][table[k][i]]; if (table[k][i] == -1) table2[k + 1][i] = INF; else chmin(table2[k + 1][i], table2[k][table[k][i]]); } } } int query(int u, int v) { lint res = INF; if (dep[u] > dep[v]) swap(u, v); for (int i = LOG - 1; i >= 0; i--) { if (((dep[v] - dep[u]) >> i) & 1) { chmin(res, table2[i][v]); v = table[i][v]; } } if (u == v) return u; for (int i = LOG - 1; i >= 0; i--) { if (table[i][u] != table[i][v]) { chmin(res, table2[i][v]); chmin(res, table2[i][u]); u = table[i][u]; v = table[i][v]; } } return res; } }; void solve() { lint N, K, C; cin >> N >> K >> C; V edges; REP(i, K) { lint u, v, w, c; cin >> u >> v >> w >> c; u--; v--; edges.push_back({ {w, -c}, {u, v} }); } sort(ALL(edges)); lint ans = 0; UnionFind tree(N); WeightedGraph g(N); REP(i, K) { auto [p1, p2] = edges[i]; auto [u, v] = p2; if (!tree.same(u, v)) { C -= p1.first; g[u].push_back({ v, p1.first }); g[v].push_back({ u, p1.first }); chmax(ans, -p1.second); tree.merge(u, v); } } DoublingLowestCommonAncestor lca(g); lca.build(); REP(i, K) { auto [p1, p2] = edges[i]; auto [u, v] = p2; if (-p1.second <= ans) continue; if (lca.query(u, v) + C >= p1.first) chmax(ans, -p1.second); } if (C < 0) ans = -1; cout << ans << endl; } int main() { lint T = 1; //cin >> T; while (T--) solve(); }