結果

問題 No.1078 I love Matrix Construction
ユーザー koba-e964
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
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ファイルパターン 結果
other AC * 22
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ソースコード

diff #
プレゼンテーションモードにする

#[allow(unused_imports)]
use std::cmp::*;
#[allow(unused_imports)]
use std::collections::*;
use std::io::{Write, BufWriter};
// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
macro_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 list
rg: Vec<Vec<usize>>, // reverse graph
cmp: 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 MB
let thd = std::thread::Builder::new().stack_size(stack_size);
thd.spawn(|| solve()).unwrap().join().unwrap();
}
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