結果
問題 | No.1678 Coin Trade (Multiple) |
ユーザー | akakimidori |
提出日時 | 2021-08-14 02:13:23 |
言語 | Rust (1.72.1) |
結果 |
AC
|
実行時間 | 541 ms / 5,000 ms |
コード長 | 5,888 bytes |
コンパイル時間 | 1,365 ms |
コンパイル使用メモリ | 153,324 KB |
実行使用メモリ | 14,752 KB |
最終ジャッジ日時 | 2023-09-02 15:08:05 |
合計ジャッジ時間 | 11,685 ms |
ジャッジサーバーID (参考情報) |
judge12 / judge14 |
テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 1 ms
4,376 KB |
testcase_01 | AC | 1 ms
4,380 KB |
testcase_02 | AC | 1 ms
4,380 KB |
testcase_03 | AC | 33 ms
7,804 KB |
testcase_04 | AC | 239 ms
11,948 KB |
testcase_05 | AC | 90 ms
14,048 KB |
testcase_06 | AC | 67 ms
13,088 KB |
testcase_07 | AC | 202 ms
8,848 KB |
testcase_08 | AC | 134 ms
10,132 KB |
testcase_09 | AC | 103 ms
14,064 KB |
testcase_10 | AC | 43 ms
4,528 KB |
testcase_11 | AC | 172 ms
11,624 KB |
testcase_12 | AC | 37 ms
4,804 KB |
testcase_13 | AC | 388 ms
13,596 KB |
testcase_14 | AC | 103 ms
7,512 KB |
testcase_15 | AC | 116 ms
11,096 KB |
testcase_16 | AC | 24 ms
11,172 KB |
testcase_17 | AC | 103 ms
14,260 KB |
testcase_18 | AC | 1 ms
4,376 KB |
testcase_19 | AC | 1 ms
4,376 KB |
testcase_20 | AC | 1 ms
4,376 KB |
testcase_21 | AC | 1 ms
4,380 KB |
testcase_22 | AC | 1 ms
4,380 KB |
testcase_23 | AC | 1 ms
4,380 KB |
testcase_24 | AC | 1 ms
4,376 KB |
testcase_25 | AC | 1 ms
4,380 KB |
testcase_26 | AC | 1 ms
4,376 KB |
testcase_27 | AC | 0 ms
4,380 KB |
testcase_28 | AC | 1 ms
4,380 KB |
testcase_29 | AC | 1 ms
4,380 KB |
testcase_30 | AC | 1 ms
4,376 KB |
testcase_31 | AC | 1 ms
4,380 KB |
testcase_32 | AC | 1 ms
4,376 KB |
testcase_33 | AC | 1 ms
4,380 KB |
testcase_34 | AC | 0 ms
4,376 KB |
testcase_35 | AC | 1 ms
4,380 KB |
testcase_36 | AC | 1 ms
4,376 KB |
testcase_37 | AC | 1 ms
4,380 KB |
testcase_38 | AC | 1 ms
4,376 KB |
testcase_39 | AC | 1 ms
4,376 KB |
testcase_40 | AC | 1 ms
4,380 KB |
testcase_41 | AC | 1 ms
4,380 KB |
testcase_42 | AC | 1 ms
4,380 KB |
testcase_43 | AC | 1 ms
4,380 KB |
testcase_44 | AC | 1 ms
4,376 KB |
testcase_45 | AC | 1 ms
4,380 KB |
testcase_46 | AC | 1 ms
4,380 KB |
testcase_47 | AC | 1 ms
4,376 KB |
testcase_48 | AC | 519 ms
14,752 KB |
testcase_49 | AC | 541 ms
14,660 KB |
testcase_50 | AC | 538 ms
14,744 KB |
testcase_51 | AC | 510 ms
14,744 KB |
testcase_52 | AC | 525 ms
14,652 KB |
testcase_53 | AC | 539 ms
14,716 KB |
testcase_54 | AC | 526 ms
14,744 KB |
testcase_55 | AC | 516 ms
14,736 KB |
testcase_56 | AC | 526 ms
14,664 KB |
testcase_57 | AC | 539 ms
14,664 KB |
testcase_58 | AC | 459 ms
14,744 KB |
ソースコード
const INF: i64 = 1_000_000_000_000_000i64 + 1; struct Graph { size: usize, edge: Vec<(usize, usize, i64, i64)>, } impl Graph { fn new(size: usize) -> Self { Graph { size: size, edge: vec![], } } fn add_edge(&mut self, src: usize, dst: usize, capa: i64, cost: i64) { assert!(src < self.size && dst < self.size && src != dst); self.edge.push((src, dst, capa, cost)); } fn flow(&self, src: usize, dst: usize, flow: i64) -> Vec<(i64, i64)> { assert!(src != dst); let size = self.size; let edge = &self.edge; let mut deg = vec![0; size]; for &(a, b, _, _) in edge.iter() { deg[a] += 1; deg[b] += 1; } let mut graph: Vec<_> = deg.into_iter().map(|d| Vec::with_capacity(d)).collect(); for &(a, b, capa, cost) in edge.iter() { let x = graph[a].len(); let y = graph[b].len(); graph[a].push((b, capa, cost, y)); graph[b].push((a, 0, -cost, x)); } let mut sum = 0; let mut res = vec![]; let mut used = 0; let mut dp = Vec::with_capacity(size); let mut pot = vec![0; size]; let mut h = std::collections::BinaryHeap::new(); while used < flow { dp.clear(); dp.resize(size, (INF, src, 0)); // コスト、親、親からの番号 dp[src] = (0, src, 0); if used > 0 { h.push((0, src)); while let Some((d, v)) = h.pop() { let d = -d; if d > dp[v].0 { continue; } for (i, &(u, capa, cost, _)) in graph[v].iter().enumerate() { if capa == 0 { continue; } let c = d + cost - pot[u] + pot[v]; if c < dp[u].0 { dp[u] = (c, v, i); h.push((-c, u)); } } } } else { let mut deg = vec![0; size]; for &(dst, capa, _, _) in graph.iter().flat_map(|g| g.iter()) { if capa > 0 { deg[dst] += 1; } } let mut dfs = vec![]; for (i, deg) in deg.iter().enumerate() { if *deg == 0 { dfs.push(i); } } while let Some(v) = dfs.pop() { for (i, &(u, capa, cost, _)) in graph[v].iter().enumerate() { if capa == 0 { continue; } let c = dp[v].0 + cost; if c < dp[u].0 { dp[u] = (c, v, i); } deg[u] -= 1; if deg[u] == 0 { dfs.push(u); } } } } if dp[dst].0 == INF { break; } for i in 0..size { pot[i] -= dp[dst].0 - dp[i].0; } let mut sub = 1; let mut pos = dst; while pos != src { let (_, parent, k) = dp[pos]; sub = std::cmp::min(sub, graph[parent][k].1); pos = parent; } let mut pos = dst; while pos != src { let (_, parent, k) = dp[pos]; let inv = graph[parent][k].3; graph[parent][k].1 -= sub; graph[pos][inv].1 += sub; pos = parent; } used += sub; sum += -pot[src] * sub; res.push((used, sum)); } res } } // ---------- begin scannner ---------- #[allow(dead_code)] mod scanner { use std::str::FromStr; pub struct Scanner<'a> { it: std::str::SplitWhitespace<'a>, } impl<'a> Scanner<'a> { pub fn new(s: &'a String) -> Scanner<'a> { Scanner { it: s.split_whitespace(), } } pub fn next<T: FromStr>(&mut self) -> T { self.it.next().unwrap().parse::<T>().ok().unwrap() } pub fn next_bytes(&mut self) -> Vec<u8> { self.it.next().unwrap().bytes().collect() } pub fn next_chars(&mut self) -> Vec<char> { self.it.next().unwrap().chars().collect() } pub fn next_vec<T: FromStr>(&mut self, len: usize) -> Vec<T> { (0..len).map(|_| self.next()).collect() } } } // ---------- end scannner ---------- use std::io::Write; fn main() { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); let mut sc = scanner::Scanner::new(&s); let out = std::io::stdout(); let mut out = std::io::BufWriter::new(out.lock()); run(&mut sc, &mut out); } fn run<W: Write>(sc: &mut scanner::Scanner, out: &mut std::io::BufWriter<W>) { let n: usize = sc.next(); let k: i64 = sc.next(); let mut g = Graph::new(n + 1); let src = 0; let dst = n; for i in 1..=n { g.add_edge(i - 1, i, k, 0); } let mut a = vec![0i64; n]; for i in 0..n { a[i] = sc.next(); let m: usize = sc.next(); for _ in 0..m { let b = sc.next::<usize>() - 1; if a[b] < a[i] { g.add_edge(b, i, 1, -(a[i] - a[b])); } } } let res = g.flow(src, dst, k); let ans = -res.iter().map(|p| p.1).min().unwrap_or(0); writeln!(out, "{}", ans).ok(); }