#![allow(unused_imports, unused_macros)] use kyoproio::*; use std::{ collections::*, io::{self, prelude::*}, iter, mem::{replace, swap}, }; fn main() -> io::Result<()> { std::thread::Builder::new() .stack_size(64 * 1024 * 1024) .spawn(solve)? .join() .unwrap(); Ok(()) } fn solve() { let stdin = io::stdin(); let mut kin = KInput::new(stdin.lock()); let stdout = io::stdout(); let mut out = io::BufWriter::new(stdout.lock()); macro_rules! output { ($($args:expr),+) => { write!(&mut out, $($args),+).unwrap(); }; } macro_rules! outputln { ($($args:expr),+) => { output!($($args),+); outputln!(); }; () => { output!("\n"); if cfg!(debug_assertions) { out.flush().unwrap(); } } } let (n, m, d): (usize, usize, i64) = kin.input(); let mut map = vec![BTreeMap::new(); n + 1]; let mut g = vec![Vec::new(); n + 1]; for _ in 0..m { let (u, v, p, q, w): (usize, usize, i64, i64, i64) = kin.input(); map[u].insert(p, 0); map[v].insert(q + d, 0); g[u].push((v, p, q + d, w)); } let mut ofs = vec![0; n + 2]; for u in 1..=n { ofs[u + 1] = ofs[u]; for (i, v) in map[u].values_mut().enumerate() { *v = i; ofs[u + 1] += 1; } } let mut dinic = Dinic::new(ofs[n + 1]); for u in 1..=n { for i in ofs[u]..ofs[u + 1] - 1 { dinic.add_edge(i, i + 1, 1e15 as i64); } for &(v, p, q, w) in &g[u] { let i = ofs[u] + map[u].get(&p).unwrap(); let j = ofs[v] + map[v].get(&q).unwrap(); dinic.add_edge(i, j, w); } } let ans = dinic.run(0, ofs[n + 1] - 1).0; outputln!("{}", ans); } pub struct Dinic { g: Vec>, es: Vec<(usize, usize, i64)>, } impl Dinic { pub fn new(n: usize) -> Self { Self { g: vec![Vec::new(); n], es: Vec::new(), } } pub fn add_edge(&mut self, u: usize, v: usize, cap: i64) { self.g[u].push(self.es.len() as isize); self.g[v].push(!(self.es.len() as isize)); self.es.push((u, v, cap)); } fn edge(&self, flow: &[i64], i: isize) -> (usize, i64) { if i >= 0 { let i = i as usize; let (_, v, c) = self.es[i]; (v, c - flow[i]) } else { let i = !i as usize; let (u, _, _) = self.es[i]; (u, flow[i]) } } pub fn run(&self, s: usize, t: usize) -> (i64, Vec) { let mut flow = vec![0; self.es.len()]; let mut sum = 0; loop { let mut dist = vec![!0; self.g.len()]; dist[s] = 0; let mut que = VecDeque::new(); que.push_back(s); 'bfs: while let Some(u) = que.pop_front() { for (v, r) in self.g[u].iter().map(|&i| self.edge(&flow, i)) { if dist[v] == !0 && r > 0 { dist[v] = dist[u] + 1; if v == t { break 'bfs; } que.push_back(v); } } } let add = self.dfs(&mut flow, &mut dist, s, t, i64::max_value()); if add == 0 { break; } sum += add; } (sum, flow) } fn dfs(&self, flow: &mut [i64], dist: &mut [usize], u: usize, t: usize, cap: i64) -> i64 { if u == t { return cap; } let mut add = 0; for &i in &self.g[u] { let (v, r) = self.edge(&flow, i); if dist[v] == dist[u] + 1 && r > 0 { let a = self.dfs(flow, dist, v, t, (cap - add).min(r)); if a > 0 { if i >= 0 { flow[i as usize] += a; } else { flow[!i as usize] -= a; } add += a; } else { dist[v] = 0; } } } add } } // ----------------------------------------------------------------------------- pub mod kyoproio { use std::io::prelude::*; pub trait Input { fn str(&mut self) -> &str; fn input(&mut self) -> T { T::input(self) } fn iter(&mut self) -> Iter { Iter(self, std::marker::PhantomData) } fn seq>(&mut self, n: usize) -> B { self.iter().take(n).collect() } } pub struct KInput { src: R, buf: String, pos: usize, } impl KInput { pub fn new(src: R) -> Self { Self { src, buf: String::with_capacity(1024), pos: 0, } } } impl Input for KInput { fn str(&mut self) -> &str { loop { if self.pos >= self.buf.len() { self.pos = 0; self.buf.clear(); if self.src.read_line(&mut self.buf).expect("io error") == 0 { return &self.buf; } } let range = self.pos ..self.buf[self.pos..] .find(|c: char| c.is_ascii_whitespace()) .map(|i| i + self.pos) .unwrap_or_else(|| self.buf.len()); self.pos = range.end + 1; if range.end > range.start { return &self.buf[range]; } } } } pub struct Iter<'a, T, I: ?Sized>(&'a mut I, std::marker::PhantomData<*const T>); impl<'a, T: InputParse, I: Input + ?Sized> Iterator for Iter<'a, T, I> { type Item = T; fn next(&mut self) -> Option { Some(self.0.input()) } } pub trait InputParse: Sized { fn input(src: &mut I) -> Self; } impl InputParse for Vec { fn input(src: &mut I) -> Self { src.str().as_bytes().to_owned() } } macro_rules! from_str_impl { { $($T:ty)* } => { $(impl InputParse for $T { fn input(src: &mut I) -> Self { src.str().parse::<$T>().expect("parse error") } })* } } from_str_impl! { String char bool f32 f64 isize i8 i16 i32 i64 i128 usize u8 u16 u32 u64 u128 } macro_rules! tuple_impl { ($H:ident $($T:ident)*) => { impl<$H: InputParse, $($T: InputParse),*> InputParse for ($H, $($T),*) { fn input(src: &mut I) -> Self { ($H::input(src), $($T::input(src)),*) } } tuple_impl!($($T)*); }; () => {} } tuple_impl!(A B C D E F G); }