//#pragma GCC target("avx2,avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") //#include #include #include namespace atcoder { namespace internal { template struct simple_queue { std::vector payload; int pos = 0; void reserve(int n) { payload.reserve(n); } int size() const { return int(payload.size()) - pos; } bool empty() const { return pos == int(payload.size()); } void push(const T& t) { payload.push_back(t); } T& front() { return payload[pos]; } void clear() { payload.clear(); pos = 0; } void pop() { pos++; } }; } // namespace internal } // namespace atcoder #include #include #include #include namespace atcoder { template struct mf_graph { public: mf_graph() : _n(0) {} mf_graph(int n) : _n(n), g(n) {} int add_edge(int from, int to, Cap cap) { assert(0 <= from && from < _n); assert(0 <= to && to < _n); assert(0 <= cap); int m = int(pos.size()); pos.push_back({from, int(g[from].size())}); g[from].push_back(_edge{to, int(g[to].size()), cap}); g[to].push_back(_edge{from, int(g[from].size()) - 1, 0}); return m; } struct edge { int from, to; Cap cap, flow; }; edge get_edge(int i) { int m = int(pos.size()); assert(0 <= i && i < m); auto _e = g[pos[i].first][pos[i].second]; auto _re = g[_e.to][_e.rev]; return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap}; } std::vector edges() { int m = int(pos.size()); std::vector result; for (int i = 0; i < m; i++) { result.push_back(get_edge(i)); } return result; } void change_edge(int i, Cap new_cap, Cap new_flow) { int m = int(pos.size()); assert(0 <= i && i < m); assert(0 <= new_flow && new_flow <= new_cap); auto& _e = g[pos[i].first][pos[i].second]; auto& _re = g[_e.to][_e.rev]; _e.cap = new_cap - new_flow; _re.cap = new_flow; } Cap flow(int s, int t) { return flow(s, t, std::numeric_limits::max()); } Cap flow(int s, int t, Cap flow_limit) { assert(0 <= s && s < _n); assert(0 <= t && t < _n); std::vector level(_n), iter(_n); internal::simple_queue que; auto bfs = [&]() { std::fill(level.begin(), level.end(), -1); level[s] = 0; que.clear(); que.push(s); while (!que.empty()) { int v = que.front(); que.pop(); for (auto e : g[v]) { if (e.cap == 0 || level[e.to] >= 0) continue; level[e.to] = level[v] + 1; if (e.to == t) return; que.push(e.to); } } }; auto dfs = [&](auto self, int v, Cap up) { if (v == s) return up; Cap res = 0; int level_v = level[v]; for (int& i = iter[v]; i < int(g[v].size()); i++) { _edge& e = g[v][i]; if (level_v <= level[e.to] || g[e.to][e.rev].cap == 0) continue; Cap d = self(self, e.to, std::min(up - res, g[e.to][e.rev].cap)); if (d <= 0) continue; g[v][i].cap += d; g[e.to][e.rev].cap -= d; res += d; if (res == up) break; } return res; }; Cap flow = 0; while (flow < flow_limit) { bfs(); if (level[t] == -1) break; std::fill(iter.begin(), iter.end(), 0); while (flow < flow_limit) { Cap f = dfs(dfs, t, flow_limit - flow); if (!f) break; flow += f; } } return flow; } std::vector min_cut(int s) { std::vector visited(_n); internal::simple_queue que; que.push(s); while (!que.empty()) { int p = que.front(); que.pop(); visited[p] = true; for (auto e : g[p]) { if (e.cap && !visited[e.to]) { visited[e.to] = true; que.push(e.to); } } } return visited; } private: int _n; struct _edge { int to, rev; Cap cap; }; std::vector> pos; std::vector> g; }; } // namespace atcoder using namespace atcoder; //using mint = modint998244353; //using mint = modint1000000007; #include using namespace std; //#include //#include //using namespace __gnu_pbds; //using i128 = __int128_t; using ll = long long; using ull = unsigned long long; using pii = pair; using pll = pair; #define rep(i, n) for(int i = 0; i < (n); ++i) #define all(x) (x).begin(),(x).end() #define SZ(x) ((int)(x).size()) constexpr char ln = '\n'; template inline bool chmax(T1 &a, T2 b) {if (a < b) {a = b; return true;} return false;} template inline bool chmin(T1 &a, T2 b) {if (a > b) {a = b; return true;} return false;} inline int topbit(int x) {return x == 0 ? -1 : 31-__builtin_clz(x);} inline int topbit(long long x) {return x == 0 ? -1 : 63-__builtin_clzll(x);} inline int botbit(int x) {return x == 0 ? 32 : __builtin_ctz(x);} inline int botbit(long long x) {return x == 0 ? 64 : __builtin_ctzll(x);} inline int popcount(int x) {return __builtin_popcount(x);} inline int popcount(long long x) {return __builtin_popcountll(x);} inline int kthbit(long long x, int k) {return (x>>k)&1;} inline void print() {cout << "\n";} template inline void print(const vector &v) { for (auto itr = v.begin(); itr != v.end(); ++itr) cout << *itr << " "; print(); } template inline void print(const T &x, const Args &... args) { cout << x << " "; print(args...); } #ifdef MINATO_LOCAL #define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl; inline void debug() {cerr << endl;} template inline void debug(const vector &v) { for (auto itr = v.begin(); itr != v.end(); ++itr) cerr << *itr << " "; debug(); } template inline void debug(const T &x, const Args &... args) { cerr << x << " "; debug(args...); } #else #define dump(x) void(0) inline void debug() {} template inline void debug(const vector &v) {} template inline void debug(const T &x, const Args &... args) {} #endif struct Fast_ios {Fast_ios() {cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20);};} fast_ios; //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// const ll MAX = 1e9; const ll INF = 1e18; int main() { ll N,M,d; cin >> N >> M >> d; vector u(M),v(M),p(M),q(M),w(M); vector> G(N); G[0].emplace_back(0); G[N-1].emplace_back(MAX+d); rep(i,M) { cin >> u[i] >> v[i] >> p[i] >> q[i] >> w[i]; --u[i]; --v[i]; G[u[i]].emplace_back(p[i]); G[v[i]].emplace_back(q[i]+d); } map dic; int V = 0; for (int i = 0; i < N; i++) { sort(all(G[i])); G[i].erase(unique(all(G[i])),G[i].end()); for (auto j : G[i]) { dic[pll(i,j)] = V++; } } mf_graph g(V); rep(i,M) { int a = dic[pll(u[i],p[i])]; int b = dic[pll(v[i],q[i]+d)]; g.add_edge(a,b,w[i]); } rep(i,N) { rep(j,SZ(G[i])-1) { int a = dic[pll(i,G[i][j])]; int b = dic[pll(i,G[i][j+1])]; g.add_edge(a,b,INF); } } int s = dic[pll(0,0)]; int t = dic[pll(N-1,MAX+d)]; cout << g.flow(s,t) << ln; }