from collections import deque import sys sys.setrecursionlimit(10**8) import pypyjit pypyjit.set_param("max_unroll_recursion=-1") class Dinic: def __init__(self, n): """n点ネットワークの構築""" self.n = n self.links = [[] for _ in range(n)] self.depth = None self.progress = None def add_link(self, _from, to, cap): """フローが流れてない状態での辺の追加""" self.links[_from].append([cap, to, len(self.links[to])]) self.links[to].append([0, _from, len(self.links[_from]) - 1]) def bfs(self, s): """sからtへの残余ネットワーク上での最短距離""" 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) self.depth = depth def dfs(self, v, t, flow): """増大道の探索""" if v == t: return flow for i in range(self.progress[v], len(self.links[v])): self.progress[v] = i cap, to, rev = self.links[v][i] if cap == 0 or self.depth[v] >= self.depth[to]: continue d = self.dfs(to, t, min(flow, cap)) if d == 0: continue # 残余ネットワークの更新 self.links[v][i][0] -= d self.links[to][rev][0] += d return d return 0 def max_flow(self, s, t): """最大フローを求める""" flow = 0 while True: # tに到達できるか self.bfs(s) if self.depth[t] < 0: return flow self.progress = [0] * self.n current_flow = self.dfs(s, t, float('inf')) while current_flow > 0: flow += current_flow current_flow = self.dfs(s, t, float('inf')) N, M, d = map(int, input().split()) G = [set() for _ in range(N)] G[0].add(0) G[-1].add(10**9) edge = [] for i in range(M): u, v, p, q, w = map(int, input().split()) u-=1;v-=1 G[u].add(p) G[v].add(q+d) edge.append([u, v, p, q, w]) ver = {} ver[(0,0)] = 0 for i in range(N): G[i] = list(G[i]) G[i].sort() for i in range(N): for j in range(len(G[i])): ver[(i, G[i][j])] = len(ver) dinic = Dinic(len(ver)) for i in range(N): for j in range(len(G[i])-1): dinic.add_link(ver[(i, G[i][j])], ver[(i, G[i][j+1])], float('inf')) for u, v, p, q, w in edge: dinic.add_link(ver[(u, p)], ver[(v, q+d)], w) print(dinic.max_flow(ver[(0,0)],ver[(N-1,10**9)]))