from itertools import accumulate from collections import deque import sys input = sys.stdin.buffer.readline sys.setrecursionlimit(10 ** 7) class MF_graph(object): def __init__(self, n): self.n = n self.g = [[] for _ in range(n)] # to, rev, cap self.pos = [] def add_edge(self, frm, to, cap): m = len(self.pos) self.pos.append((frm, len(self.g[frm]))) self.g[frm].append([to, len(self.g[to]), cap]) self.g[to].append([frm, len(self.g[frm]) - 1, 0]) return m def get_edge(self, i): e_to, e_rev, e_cap = self.g[self.pos[i][0]][self.pos[i][1]] re_to, _, re_cap = self.g[e_to][e_rev] # from, to, cap, flow return (re_to, e_to, e_cap + re_cap, re_cap) def edges(self): m = len(self.pos) for i in range(m): yield self.get_edge(i) def change_edge(self, i, new_cap, new_flow): f, s = self.pos[i] rf, rs, _ = self.g[f][s] self.g[f][s][2] = new_cap - new_flow self.g[rf][rs][2] = new_flow return def dfs(self, s, v, up): if v == s: return up res = 0 level_v = self.level[v] for i in range(self.iter[v], len(self.g[v])): u_to, u_rev, _ = self.g[v][i] if level_v <= self.level[u_to] or self.g[u_to][u_rev][2] == 0: continue d = self.dfs(s, u_to, min(up - res, self.g[u_to][u_rev][2])) if d <= 0: continue self.g[v][i][2] += d self.g[u_to][u_rev][2] -= d res += d if res == up: break return res def flow(self, s, t, flow_limit=10**18): self.iter = [0] * self.n flow = 0 while flow < flow_limit: self.level = [-1] * self.n self.level[s] = 0 que = deque([s]) while que: v = que.popleft() for u_to, _, u_cap in self.g[v]: if u_cap == 0 or self.level[u_to] >= 0: continue self.level[u_to] = self.level[v] + 1 if u_to == t: break que.append(u_to) if self.level[t] == -1: break self.iter = [0] * self.n while flow < flow_limit: f = self.dfs(s, t, flow_limit - flow) if not f: break flow += f return flow def min_cut(self, s): visited = [False] * self.n que = deque([s]) while que: v = que.popleft() visited[v] = True for u_to, _, u_cap in self.g[v]: if u_cap and (not visited[u_to]): visited[u_to] = True que.append(u_to) return visited N, M, d = map(int, input().split()) U = 10**9 data = [] table = [set() for _ in range(N)] table[0].add(0) table[N - 1].add(10 ** 9) for _ in range(M): s, t, p, q, w = map(int, input().split()) s -= 1 t -= 1 table[s].add(p) table[t].add(q) table[t].add(q + d) data.append((s, t, p, q, w)) cnt = 0 ttoi = dict() for airport, time in enumerate(table): time = sorted(time) for t in time: ttoi[(airport, t)] = cnt cnt += 1 g = MF_graph(cnt + 10) source = cnt sink = cnt + 1 inf = 10**20 g.add_edge(source, 0, inf) goal = ttoi[(N-1, U)] g.add_edge(goal, sink, inf) for s, t, p, q, w in data: if t != N - 1: q += d x = ttoi[(s, p)] y = ttoi[(t, q)] g.add_edge(x, y, w) for airport, time in enumerate(table): if len(time) < 2: continue time = sorted(time) for p, q in zip(time[:-1], time[1:]): x = ttoi[(airport, p)] y = ttoi[(airport, q)] g.add_edge(x, y, inf) print(g.flow(source, sink))