結果
| 問題 |
No.2294 Union Path Query (Easy)
|
| コンテスト | |
| ユーザー |
akakimidori
|
| 提出日時 | 2023-03-14 23:27:14 |
| 言語 | Rust (1.83.0 + proconio) |
| 結果 |
AC
|
| 実行時間 | 152 ms / 4,000 ms |
| コード長 | 5,067 bytes |
| コンパイル時間 | 20,242 ms |
| コンパイル使用メモリ | 376,312 KB |
| 実行使用メモリ | 57,856 KB |
| 最終ジャッジ日時 | 2024-11-22 13:26:29 |
| 合計ジャッジ時間 | 23,843 ms |
|
ジャッジサーバーID (参考情報) |
judge1 / judge2 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 46 |
コンパイルメッセージ
warning: type alias `Map` is never used --> src/main.rs:96:6 | 96 | type Map<K, V> = BTreeMap<K, V>; | ^^^ | = note: `#[warn(dead_code)]` on by default warning: type alias `Set` is never used --> src/main.rs:97:6 | 97 | type Set<T> = BTreeSet<T>; | ^^^ warning: type alias `Deque` is never used --> src/main.rs:98:6 | 98 | type Deque<T> = VecDeque<T>; | ^^^^^
ソースコード
//---------- begin union_find ----------
pub struct DSU {
p: Vec<i32>,
}
impl DSU {
pub fn new(n: usize) -> DSU {
assert!(n < std::i32::MAX as usize);
DSU { p: vec![-1; n] }
}
pub fn init(&mut self) {
self.p.iter_mut().for_each(|p| *p = -1);
}
pub fn root(&self, mut x: usize) -> usize {
assert!(x < self.p.len());
while self.p[x] >= 0 {
x = self.p[x] as usize;
}
x
}
pub fn same(&self, x: usize, y: usize) -> bool {
assert!(x < self.p.len() && y < self.p.len());
self.root(x) == self.root(y)
}
pub fn unite(&mut self, x: usize, y: usize) -> Option<(usize, usize)> {
assert!(x < self.p.len() && y < self.p.len());
let mut x = self.root(x);
let mut y = self.root(y);
if x == y {
return None;
}
if self.p[x] > self.p[y] {
std::mem::swap(&mut x, &mut y);
}
self.p[x] += self.p[y];
self.p[y] = x as i32;
Some((x, y))
}
pub fn parent(&self, x: usize) -> Option<usize> {
assert!(x < self.p.len());
let p = self.p[x];
if p >= 0 {
Some(p as usize)
} else {
None
}
}
pub fn sum<F>(&self, mut x: usize, mut f: F) -> usize
where
F: FnMut(usize),
{
while let Some(p) = self.parent(x) {
f(x);
x = p;
}
x
}
pub fn size(&self, x: usize) -> usize {
assert!(x < self.p.len());
let r = self.root(x);
(-self.p[r]) as usize
}
}
//---------- end union_find ----------
// ---------- 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;
use std::collections::*;
type Map<K, V> = BTreeMap<K, V>;
type Set<T> = BTreeSet<T>;
type Deque<T> = VecDeque<T>;
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 mut x: usize = sc.next();
let q: usize = sc.next();
const MOD: usize = 998_244_353;
const K: usize = 30;
let mut dsu = DSU::new(n);
let mut sum = vec![0; n];// 連結成分内の距離の総和
let mut cnt = vec![[0; K]; n];// 連結成分内の根からの距離のibit目が1なものの個数
let mut weight = vec![0; n];// 親への辺の重み
for _ in 0..q {
let op: u8 = sc.next();
if op == 1 {
let v: usize = sc.next();
let mut w: usize = sc.next();
let a = dsu.sum(x, |v| w ^= weight[v]);
let sa = dsu.size(a);
let b = dsu.sum(v, |v| w ^= weight[v]);
let sb = dsu.size(b);
let (p, c) = dsu.unite(v, x).unwrap();
let (sp, sc) = if a == p {(sa, sb)} else {(sb, sa)};
sum[p] = (sum[p] + sum[c]) % MOD;
weight[c] = w;
let sum = &mut sum[p];
let c_cnt = std::mem::take(&mut cnt[c]);
for (i, (p, c)) in cnt[p].iter_mut().zip(c_cnt.iter()).enumerate() {
let a = [sp - *p, *p];
let b = [sc - *c, *c];
let w = (w >> i & 1) as usize;
let cnt = (a[0] * b[w ^ 1] + a[1] * b[w]) % MOD;
*sum = (*sum + cnt * (1 << i)) % MOD;
*p += b[w ^ 1];
}
} else if op == 2 {
let u: usize = sc.next();
let v: usize = sc.next();
if dsu.same(u, v) {
let mut w = 0;
dsu.sum(u, |v| w ^= weight[v]);
dsu.sum(v, |v| w ^= weight[v]);
x += w;
writeln!(out, "{}", w).ok();
} else {
writeln!(out, "-1").ok();
}
} else if op == 3 {
let v: usize = sc.next();
writeln!(out, "{}", sum[dsu.root(v)]).ok();
} else {
let value: usize = sc.next();
x += value;
}
x %= n;
}
}
akakimidori