from collections import deque, defaultdict class Dinic: """ Usage: mf = Dinic(n) -> mf.add_link(from, to, capacity) -> mf.max_flow(source, target) """ def __init__(self, n): self.n = n self.links = [[] for _ in range(n)] def add_link(self, from_, to, capacity): self.links[from_].append([capacity, to, len(self.links[to])]) self.links[to].append([0, from_, len(self.links[from_]) - 1]) def bfs(self, s): depth = [-1] * self.n depth[s] = 0 q = deque([s]) while q: v = q.popleft() for cap, to, rev in self.links[v]: if cap > 0 and depth[to] < 0: depth[to] = depth[v] + 1 q.append(to) return depth def dfs(self, s, t, depth, progress, link_counts): links = self.links stack = [s] while stack: v = stack[-1] if v == t: break for i in range(progress[v], link_counts[v]): progress[v] = i cap, to, rev = links[v][i] if cap == 0 or depth[v] >= depth[to] or progress[to] >= link_counts[to]: continue stack.append(to) break else: progress[v] += 1 stack.pop() else: return 0 f = 1 << 60 fwd_links = [] bwd_links = [] for v in stack[:-1]: cap, to, rev = link = links[v][progress[v]] f = min(f, cap) fwd_links.append(link) bwd_links.append(links[to][rev]) for link in fwd_links: link[0] -= f for link in bwd_links: link[0] += f return f def max_flow(self, s, t): link_counts = list(map(len, self.links)) flow = 0 while True: depth = self.bfs(s) if depth[t] < 0: break progress = [0] * self.n current_flow = self.dfs(s, t, depth, progress, link_counts) while current_flow > 0: flow += current_flow current_flow = self.dfs(s, t, depth, progress, link_counts) return flow N, M, d = map(int, input().split()) A = [list(map(int, input().split())) for _ in range(M)] B = [set() for _ in range(N+1)] ct = 0 for u, v, p, q, w in A: B[u].add((p, 1)) B[v].add((q+d, 0)) C = [{} for _ in range(N+1)] for i, b in enumerate(B): B[i] = list(B[i]) if not B[i]: continue B[i].sort() for t, f in B[i]: C[i][(t, f)] = ct ct += 1 mf_flow = Dinic(ct+2) for u, v, p, q, w in A: inds = C[u][(p, 1)] indt = C[v][(q+d, 0)] mf_flow.add_link(inds, indt, w) INF = 10**18 for i in range(N+1): for j in range(len(B[i])-1): mf_flow.add_link(C[i][tuple(B[i][j])], C[i][tuple(B[i][j+1])], INF) for b in B[1]: mf_flow.add_link(ct, C[1][b], INF) for b in B[N]: if b[1] == 0 and b[0] <= 10**9+d: mf_flow.add_link(C[N][b], ct+1, INF) print(mf_flow.max_flow(ct, ct+1))