#686935 (Rust) No.1640 簡単な色塗り

• 問題: No.1640 簡単な色塗り
• ユーザー: koba-e964
• 提出日時: 2021-08-06 23:02:27
• 言語: Rust (1.83.0 + proconio)
• 結果: AC
• 実行時間: 1,262 ms / 2,000 ms
• コード長: 8,201 bytes
• コンパイル時間: 13,513 ms
• コンパイル使用メモリ: 399,480 KB
• 実行使用メモリ: 41,856 KB
• 最終ジャッジ日時: 2024-06-29 16:09:48
• 合計ジャッジ時間: 41,049 ms
• ジャッジサーバーID （参考情報）: judge1 / judge2

ファイルパターン	結果
sample	AC * 3
other	AC * 52 TLE * 1

コンパイルメッセージ

warning: struct `NamoriSplit` is never constructed
  --> src/main.rs:92:8
   |
92 | struct NamoriSplit<T> {
   |        ^^^^^^^^^^^
   |
   = note: `#[warn(dead_code)]` on by default

warning: function `namori_split` is never used
   --> src/main.rs:107:4
    |
107 | fn namori_split<T: Clone>(g: &[Vec<(usize, T)>]) -> NamoriSplit<T> {
    |    ^^^^^^^^^^^^

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/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, ( $($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"));
}

trait Change { fn chmax(&mut self, x: Self); fn chmin(&mut self, x: Self); }
impl<T: PartialOrd> Change for T {
    fn chmax(&mut self, x: T) { if *self < x { *self = x; } }
    fn chmin(&mut self, x: T) { if *self > x { *self = x; } }
}

/**
 * Union-Find tree.
 * Verified by https://atcoder.jp/contests/pakencamp-2019-day3/submissions/9253305
 */
struct UnionFind { disj: Vec<usize>, rank: Vec<usize> }

impl UnionFind {
    fn new(n: usize) -> Self {
        let disj = (0..n).collect();
        UnionFind { disj: disj, rank: vec![1; n] }
    }
    fn root(&mut self, x: usize) -> usize {
        if x != self.disj[x] {
            let par = self.disj[x];
            let r = self.root(par);
            self.disj[x] = r;
        }
        self.disj[x]
    }
    fn unite(&mut self, x: usize, y: usize) {
        let mut x = self.root(x);
        let mut y = self.root(y);
        if x == y { return }
        if self.rank[x] > self.rank[y] {
            std::mem::swap(&mut x, &mut y);
        }
        self.disj[x] = y;
        self.rank[y] += self.rank[x];
    }
    #[allow(unused)]
    fn is_same_set(&mut self, x: usize, y: usize) -> bool {
        self.root(x) == self.root(y)
    }
    #[allow(unused)]
    fn size(&mut self, x: usize) -> usize {
        let x = self.root(x);
        self.rank[x]
    }
}

struct NamoriSplit<T> {
    #[allow(unused)]
    forest: Vec<Vec<(usize, T)>>,
    #[allow(unused)]
    forest_e: Vec<Vec<usize>>,
    #[allow(unused)]
    to_root: Vec<usize>,
    #[allow(unused)]
    roots: Vec<usize>,
    #[allow(unused)]
    cycle: Vec<T>,
    #[allow(unused)]
    to_id: Vec<usize>,
}

fn namori_split<T: Clone>(g: &[Vec<(usize, T)>]) -> NamoriSplit<T> {
    fn dfs1(v: usize, par: usize, g: &[Vec<usize>], r: usize, root: &mut [usize]) {
        root[v] = r;
        for &w in &g[v] {
            if w == par {
                continue;
            }
            dfs1(w, v, g, r, root);
        }
    }
    fn get_root_seq<T: Clone>(roots: &[usize], cyc: &[Vec<(usize, T)>]) -> Vec<(usize, T)> {
        let mut root_seq = vec![];
        let v = roots[0];
        if roots.len() == 2 {
            for i in 0..2 {
                root_seq.push((roots[i], cyc[v][i].1.clone()));
            }
            return root_seq;
        }
        let (mut w, c) = cyc[v][0].clone();
        root_seq.push((v, c));
        while w != v {
            let mut nxt = None;
            for &(a, ref b) in &cyc[w] {
                if a == root_seq[root_seq.len() - 1].0 {
                    continue;
                }
                nxt = Some((a, b.clone()));
                break;
            }
            let nxt = nxt.unwrap();
            root_seq.push((w, nxt.1));
            w = nxt.0;
        }
        root_seq
    }
    let n = g.len();
    let mut deg = vec![0; n];
    for i in 0..n {
        deg[i] = g[i].len();
    }
    let mut que = vec![];
    for i in 0..n {
        if deg[i] == 1 {
            que.push(i);
        }
    }
    let mut rem = vec![true; n];
    while let Some(v) = que.pop() {
        if !rem[v] {
            continue;
        }
        rem[v] = false;
         for &(w, _) in &g[v] {
            if rem[w] {
                deg[w] -= 1;
                if deg[w] == 1 {
                    que.push(w);
                }
            }
        }
    }
    let mut forest = vec![vec![]; n];
    let mut forest_e = vec![vec![]; n];
    let mut cyc = vec![vec![]; n];
    let mut roots = vec![];
    for i in 0..n {
        if rem[i] {
            roots.push(i);
        }
        for &(a, ref c) in &g[i] {
            if rem[i] && rem[a] {
                cyc[i].push((a, c.clone()));
            } else {
                forest[i].push((a, c.clone()));
                forest_e[i].push(a);
            }
        }
    }
    let mut to_root = vec![0; n];
    for &r in &roots {
        dfs1(r, n, &forest_e, r, &mut to_root);
    }
    let root_seq;
    let mut to_id = vec![n; n];
    let mut roots_0 = vec![];
    let mut cycle = vec![];
    {
        root_seq = get_root_seq(&roots, &cyc);
        for i in 0..root_seq.len() {
            to_id[root_seq[i].0] = i;
            roots_0.push(root_seq[i].0);
            cycle.push(root_seq[i].1.clone());
        }
    }
    for i in 0..n {
        to_id[i] = to_id[to_root[i]];
    }
    NamoriSplit {
        forest: forest,
        forest_e: forest_e,
        to_root: to_root,
        roots: roots_0,
        cycle: cycle,
        to_id: to_id,
    }
}

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();
}

fn dfs(v: usize, par: usize, eidx: usize,
       g: &[HashMap<usize, usize>], vis: &mut [bool],
       einfo: &mut [usize]) {
    let n = g.len();
    if par < n && einfo[eidx] >= n {
        einfo[eidx] = par;
    }
    if vis[v] {
        return;
    }
    vis[v] = true;
    for (&widx, &w) in &g[v] {
        if widx == eidx {
            continue;
        }
        dfs(w, v, widx, g, vis, einfo);
    }
}

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,
        ab: [(usize1, usize1); n],
    }
    let mut g = vec![vec![]; n];
    let mut gr = vec![HashMap::new(); n];
    let mut uf = UnionFind::new(n);
    for i in 0..n {
        let (a, b) = ab[i];
        g[a].push((b, i));
        g[b].push((a, i));
        gr[a].insert(i, b);
        gr[b].insert(i, a);
        uf.unite(a, b);
    }
    let mut es = vec![0; n];
    for i in 0..n {
        let (a, _) = ab[i];
        es[uf.root(a)] += 1;
    }
    for i in 0..n {
        if uf.root(i) == i && uf.size(i) != es[i] {
            puts!("No\n");
            return;
        }
    }
    puts!("Yes\n");
    let mut deg = vec![0; n];
    for i in 0..n {
        deg[i] = g[i].len();
    }
    let mut que = vec![];
    for i in 0..n {
        if deg[i] == 1 {
            let (&idx, &to) = gr[i].iter().next().unwrap();
            que.push((i, idx, to));
        }
    }
    let mut einfo = vec![1 << 20; n];
    while let Some((v, idx, w)) = que.pop() {
        einfo[idx] = v;
        deg[v] -= 1;
        gr[w].remove(&idx);
        deg[w] -= 1;
        if deg[w] == 1 {
            let (&idx, &to) = gr[w].iter().next().unwrap();
            que.push((w, idx, to));
        }
    }
    eprintln!("gr = {:?}", gr);
    let mut vis = vec![false; n];
    for i in 0..n {
        if !vis[i] {
            dfs(i, n, n, &gr, &mut vis, &mut einfo);
        }
    }
    for i in 0..n {
        puts!("{}\n", einfo[i] + 1);
    }
}