結果
問題 | No.1078 I love Matrix Construction |
ユーザー |
|
提出日時 | 2020-06-12 23:08:48 |
言語 | Rust (1.83.0 + proconio) |
結果 |
AC
|
実行時間 | 249 ms / 2,000 ms |
コード長 | 7,336 bytes |
コンパイル時間 | 16,419 ms |
コンパイル使用メモリ | 401,716 KB |
実行使用メモリ | 62,512 KB |
最終ジャッジ日時 | 2024-06-24 05:51:02 |
合計ジャッジ時間 | 18,311 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
other | AC * 22 |
ソースコード
#[allow(unused_imports)]use std::cmp::*;#[allow(unused_imports)]use std::collections::*;use std::io::{Write, BufWriter};// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8macro_rules! input {($($r:tt)*) => {let stdin = std::io::stdin();let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock()));let mut next = move || -> String{bytes.by_ref().map(|r|r.unwrap() as char).skip_while(|c|c.is_whitespace()).take_while(|c|!c.is_whitespace()).collect()};input_inner!{next, $($r)*}};}macro_rules! input_inner {($next:expr) => {};($next:expr, ) => {};($next:expr, $var:ident : $t:tt $($r:tt)*) => {let $var = read_value!($next, $t);input_inner!{$next $($r)*}};}macro_rules! read_value {($next:expr, [graph1; $len:expr]) => {{let mut g = vec![vec![]; $len];let ab = read_value!($next, [(usize1, usize1)]);for (a, b) in ab {g[a].push(b);g[b].push(a);}g}};($next:expr, ( $($t:tt),* )) => {( $(read_value!($next, $t)),* )};($next:expr, [ $t:tt ; $len:expr ]) => {(0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()};($next:expr, chars) => {read_value!($next, String).chars().collect::<Vec<char>>()};($next:expr, usize1) => (read_value!($next, usize) - 1);($next:expr, [ $t:tt ]) => {{let len = read_value!($next, usize);read_value!($next, [$t; len])}};($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error"));}#[allow(unused)]macro_rules! debug {($($format:tt)*) => (write!(std::io::stderr(), $($format)*).unwrap());}#[allow(unused)]macro_rules! debugln {($($format:tt)*) => (writeln!(std::io::stderr(), $($format)*).unwrap());}/*** Strong connected components.* Verified by: yukicoder No.470 (http://yukicoder.me/submissions/145785)*/struct SCC {n: usize,ncc: usize,g: Vec<Vec<usize>>, // graph in adjacent listrg: Vec<Vec<usize>>, // reverse graphcmp: Vec<usize>, // topological order}impl SCC {fn new(n: usize) -> Self {SCC {n: n,ncc: n + 1,g: vec![Vec::new(); n],rg: vec![Vec::new(); n],cmp: vec![0; n],}}fn add_edge(&mut self, from: usize, to: usize) {self.g[from].push(to);self.rg[to].push(from);}fn dfs(&self, v: usize, used: &mut [bool], vs: &mut Vec<usize>) {used[v] = true;for &w in self.g[v].iter() {if !used[w] {self.dfs(w, used, vs);}}vs.push(v);}fn rdfs(&self, v: usize, k: usize,used: &mut [bool], cmp: &mut [usize]) {used[v] = true;cmp[v] = k;for &w in self.rg[v].iter() {if !used[w] {self.rdfs(w, k, used, cmp);}}}fn scc(&mut self) -> usize {let n = self.n;let mut used = vec![false; n];let mut vs = Vec::new();let mut cmp = vec![0; n];for v in 0 .. n {if !used[v] { self.dfs(v, &mut used, &mut vs); }}for u in used.iter_mut() {*u = false;}let mut k = 0;for &t in vs.iter().rev() {if !used[t] { self.rdfs(t, k, &mut used, &mut cmp); k += 1; }}self.ncc = k;self.cmp = cmp;k}#[allow(dead_code)]fn top_order(&self) -> Vec<usize> {assert!(self.ncc <= self.n);self.cmp.clone()}/** Returns a dag whose vertices are scc's, and whose edges are those of the original graph.*/#[allow(dead_code)]fn dag(&self) -> Vec<Vec<usize>> {assert!(self.ncc <= self.n);let ncc = self.ncc;let mut ret = vec![HashSet::new(); ncc];let n = self.n;for i in 0 .. n {for &to in self.g[i].iter() {if self.cmp[i] != self.cmp[to] {assert!(self.cmp[i] < self.cmp[to]);ret[self.cmp[i]].insert(self.cmp[to]);}}}ret.into_iter().map(|set| set.into_iter().collect()).collect()}#[allow(dead_code)]fn rdag(&self) -> Vec<Vec<usize>> {assert!(self.ncc <= self.n);let ncc = self.ncc;let mut ret = vec![HashSet::new(); ncc];let n = self.n;for i in 0 .. n {for &to in self.g[i].iter() {if self.cmp[i] != self.cmp[to] {assert!(self.cmp[i] < self.cmp[to]);ret[self.cmp[to]].insert(self.cmp[i]);}}}ret.into_iter().map(|set| set.into_iter().collect()).collect()}}/*** 2-SAT solver.* n: the number of variables (v_1, ..., v_n)* cons: constraints, given in 2-cnf* i (1 <= i <= n) means v_i, -i (1 <= i <= n) means not v_i.* Returns: None if there's no assignment that satisfies cons.* Otherwise, it returns an assignment that safisfies cons. (true: true, false: false)* Dependencies: SCC.rs* Verified by: Codeforces #400 D* (http://codeforces.com/contest/776/submission/24957215)*/fn two_sat(n: usize, cons: &[(i32, i32)]) -> Option<Vec<bool>> {let mut scc = SCC::new(2 * n);let ni = n as i32;for &(c1, c2) in cons.iter() {let x = if c1 > 0 {c1 - 1 + ni} else {-c1 - 1} as usize;let y = if c2 > 0 {c2 - 1} else {-c2 - 1 + ni} as usize;scc.add_edge(x, y);scc.add_edge((y + n) % (2 * n), (x + n) % (2 * n));}scc.scc();let mut result = vec![false; n];let top_ord = scc.top_order();for i in 0 .. n {if top_ord[i] == top_ord[i + n] {return None;}result[i] = top_ord[i] > top_ord[i + n];}Some(result)}fn solve() {let out = std::io::stdout();let mut out = BufWriter::new(out.lock());macro_rules! puts {($($format:tt)*) => (let _ = write!(out,$($format)*););}input! {n: usize,s: [usize1; n],t: [usize1; n],u: [i32; n],}let mut cons = vec![];for i in 0..n {for j in 0..n {let a = (s[i] * n + j + 1) as i32;let b = (j * n + t[i] + 1) as i32;let a = if (u[i] & 1) != 0 { -a } else { a };let b = if (u[i] & 2) != 0 { -b } else { b };cons.push((a, b));}}if let Some(ans) = two_sat(n * n, &cons) {for i in 0..n {for j in 0..n {puts!("{}{}", if ans[i * n + j] { 1 } else { 0 },if j + 1 == n { "\n" } else { " " });}}} else {puts!("-1\n");}}fn main() {// In order to avoid potential stack overflow, spawn a new thread.let stack_size = 104_857_600; // 100 MBlet thd = std::thread::Builder::new().stack_size(stack_size);thd.spawn(|| solve()).unwrap().join().unwrap();}