#include using namespace std; #define rep2(i, m, n) for (int i = (m); i < (n); ++i) #define rep(i, n) rep2(i, 0, n) #define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i) #define drep(i, n) drep2(i, n, 0) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #ifdef LOCAL void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << ' ' << H; debug_out(T...); } #define debug(...) cerr << 'L' << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #define dump(x) cerr << 'L' << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif template using V = vector; template using P = pair; using ll = long long; using ld = long double; using Vi = V; using VVi = V; using Vl = V; using VVl = V; using Vd = V; using VVd = V; using Vb = V; using VVb = V; using Pi = P; using Pl = P; using Pd = P; template using priority_queue_rev = priority_queue, greater>; template vector make_vec(size_t n, T a) { return vector(n, a); } template auto make_vec(size_t n, Ts... ts) { return vector(n, make_vec(ts...)); } template inline int sz(const T &x) { return size(x); } template inline bool chmin(T &a, const T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, const T b) { if (a < b) { a = b; return true; } return false; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ", " << p.second << ')'; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &e : v) is >> e; return is; } template ostream &operator<<(ostream &os, const vector &v) { for (auto &e : v) os << e << ' '; return os; } template istream &operator>>(istream &is, array &v) { for (auto &e : v) is >> e; return is; } template ostream &operator<<(ostream &os, const array &v) { for (auto &e : v) os << e << ' '; return os; } template inline void deduplicate(vector &a) { sort(all(a)); a.erase(unique(all(a)), a.end()); } template inline int count_between(const vector &a, T l, T r) { return lower_bound(all(a), r) - lower_bound(all(a), l); } // [l, r) inline ll cDiv(const ll x, const ll y) { return (x+y-1) / y; } // ceil(x/y) inline int fLog2(const ll x) { assert(x > 0); return 63-__builtin_clzll(x); } // floor(log2(x)) inline int cLog2(const ll x) { assert(x > 0); return (x == 1) ? 0 : 64-__builtin_clzll(x-1); } // ceil(log2(x)) inline int popcount(const ll x) { return __builtin_popcountll(x); } inline void fail() { cout << -1 << '\n'; exit(0); } struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; // const int INF = (1<<30) - 1; // const ll INFll = (1ll<<60) - 1; // const ld EPS = 1e-10; // const ld PI = acos(-1.0); struct edge { int a, b; ll c, d; ld x; }; struct UnionFind { vector d; UnionFind(int n=0): d(n, -1) {} int find(int x) { if (d[x] < 0) return x; return d[x] = find(d[x]); } bool unite(int x, int y) { x = find(x); y = find(y); if (x == y) return false; if (d[x] > d[y]) swap(x,y); d[x] += d[y]; d[y] = x; return true; } bool same(int x, int y) { return find(x) == find(y);} int size(int x) { return -d[find(x)];} }; int main() { chrono::system_clock::time_point start, now; ll n, m, D; cin >> n >> m >> D; ll ansmax = 0; vector E(m); for (auto &[a, b, c, d, x] : E) { cin >> a >> b >> c >> d; --a, --b; x = 0; ansmax += c * min(d, D); } ld etamin = 1e-3; ld etamax = 1e0; ld eta = etamin; ld fpre = 0; ll ans = 0; vector Ebest; start = chrono::system_clock::now(); const int T = 1e8; rep(t, T) { sort(begin(E), end(E), [](const auto &a, const auto &b) { return a.c + a.x < b.c + b.x; }); UnionFind uf(n); ld f = 0; for (auto &[a, b, c, d, x] : E) { if (uf.unite(a, b)) f += D * (c + x); f -= d * x; } if (chmax(ans, llround(f + 0.4))) Ebest = E; if (f < fpre) eta *= 0.9; else eta *= 1.1; eta = clamp(eta, etamin, etamax); uf = UnionFind(n); for (auto &[a, b, c, d, x] : E) { if (uf.unite(a, b)) x += eta * D; x -= eta * d; chmax(x, ld(0)); } fpre = f; if (t % 100000 == 0) debug(t, ans, f, eta); if (ans > ansmax) fail(); now = chrono::system_clock::now(); auto dur = std::chrono::duration_cast(now - start).count(); // debug(dur); if (dur > 1800) { // debug(t, ans, fi, f, eta); cout << ans << '\n'; break; } } for (auto &[a, b, c, d, x] : Ebest) debug(a, b, c, d, round(x), x); }