結果

問題 No.1641 Tree Xor Query
ユーザー ziitaziita
提出日時 2021-09-07 19:11:28
言語 Rust
(1.77.0 + proconio)
結果
AC  
実行時間 282 ms / 5,000 ms
コード長 7,390 bytes
コンパイル時間 14,626 ms
コンパイル使用メモリ 378,736 KB
実行使用メモリ 40,320 KB
最終ジャッジ日時 2024-06-06 05:51:17
合計ジャッジ時間 15,028 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
このコードへのチャレンジ
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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
5,248 KB
testcase_01 AC 1 ms
5,248 KB
testcase_02 AC 1 ms
5,376 KB
testcase_03 AC 1 ms
5,376 KB
testcase_04 AC 1 ms
5,376 KB
testcase_05 AC 1 ms
5,376 KB
testcase_06 AC 1 ms
5,376 KB
testcase_07 AC 1 ms
5,376 KB
testcase_08 AC 1 ms
5,376 KB
testcase_09 AC 1 ms
5,376 KB
testcase_10 AC 1 ms
5,376 KB
testcase_11 AC 1 ms
5,376 KB
testcase_12 AC 1 ms
5,376 KB
testcase_13 AC 282 ms
40,320 KB
testcase_14 AC 275 ms
40,192 KB
testcase_15 AC 4 ms
5,376 KB
testcase_16 AC 13 ms
5,376 KB
testcase_17 AC 10 ms
5,376 KB
testcase_18 AC 8 ms
5,376 KB
testcase_19 AC 7 ms
5,376 KB
testcase_20 AC 187 ms
29,380 KB
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ソースコード

diff # 

#![allow(unused_imports)]
#![allow(non_snake_case, unused)]

// ---------- begin input macro ----------
// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 より
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        let mut next = || { iter.next().unwrap() };
        input_inner!{next, $($r)*}
    };
    ($($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:ty) => {
        $next().parse::<$t>().expect("Parse error")
    };
}
// ---------- end input macro ----------


use std::cmp::*;
use std::collections::*;
use std::ops::*;
use std::marker::*;
 
const INF: i64 = std::i64::MAX/100;
const MOD: i64 = 1_000_000_007;
// const MOD: i64 = 998_244_353;

struct EulerTour {
    G: Vec<Vec<(usize,i64)>>,
    tour: Vec<usize>,
    L: Vec<usize>,
    R: Vec<usize>,
    depth: Vec<usize>,
    weight: Vec<i64>,
    n: usize,
}

impl EulerTour{
    fn new(n: usize) -> EulerTour {
        EulerTour{
            G: vec![vec![];n],
            tour: vec![],
            L: vec![0;n],
            R: vec![0;n],
            depth: vec![0;n],
            weight: vec![0;n],
            n: n,
        }
    }

    fn add_edge(&mut self, s: usize, t: usize, w: i64){
        self.G[s].push((t,w));
        self.G[t].push((s,w));
    }

    fn init(&mut self, root: usize) {
        self.dfs(root, self.n, 0, 0);
    }

    fn dfs(&mut self, v: usize, p: usize, d: usize, w: i64){
        self.tour.push(v);
        self.L[v] = self.tour.len()-1;
        self.depth[v] = d;
        self.weight[v] = w;
        for z in self.G[v].clone() {
            if z.0 == p {continue;}
            self.dfs(z.0, v, d+1, w+z.1);
            self.tour.push(v);
        }
        self.R[v] = self.tour.len()-1;
    }
}

// ---------- begin lazy segment tree ----------
// https://yukicoder.me/submissions/379658 より
pub trait TE {
    type T: Clone;
    type E: Clone;
    fn fold(l:Self::T, r:Self::T) -> Self::T;
    fn eval(p:Self::T, x:Self::E) -> Self::T;
    fn merge(f:Self::E, g:Self::E) -> Self::E;
    fn e() -> Self::T;
    fn id() -> Self::E;
}

pub struct LazySegmentTree<R: TE> {
    size: usize,
    bit: usize,
    a: Vec<(R::T, R::E)>,
}

impl <R: TE> LazySegmentTree<R> {
    pub fn new(n: usize) -> LazySegmentTree<R> {
        let mut bit = 0;
        while (1 << bit) < n {
            bit += 1;
        }
        LazySegmentTree {
            size: 1 << bit,
            bit: bit,
            a: vec![(R::e(), R::id()); 2 << bit],
        }
    }
    pub fn build_by(z: &[R::T]) -> LazySegmentTree<R> {
        let n = z.len();
        let mut bit = 0;
        while (1 << bit) < n {
            bit += 1;
        }
        let mut a = vec![(R::e(), R::id()); 2 << bit];
        for (a, z) in a[(1 << bit)..].iter_mut().zip(z.iter()) {
            a.0 = z.clone();
        }
        for i in (1..(1 << bit)).rev() {
            let l = R::eval(a[2 * i].0.clone(), a[2 * i].1.clone());
            let r = R::eval(a[2 * i + 1].0.clone(), a[2 * i + 1].1.clone());
            a[i].0 = R::fold(l, r);
        }
        LazySegmentTree {
            size: 1 << bit,
            bit : bit,
            a: a,
        }
    }
    fn eval(&self, k: usize) -> R::T {
        R::eval(self.a[k].0.clone(), self.a[k].1.clone())
    }
    fn propagate(&mut self, x: usize) {
        let x = x + self.size;
        for i in (1..(self.bit + 1)).rev() {
            let k = x >> i;
            self.a[2 * k].1 = R::merge(self.a[2 * k].1.clone(), self.a[k].1.clone());
            self.a[2 * k + 1].1 = R::merge(self.a[2 * k + 1].1.clone(), self.a[k].1.clone());
            self.a[k].1 = R::id();
            self.a[k].0 = R::fold(self.eval(2 * k), self.eval(2 * k + 1));
        }
    }
    fn save(&mut self, x: usize) {
        let x = x + self.size;
        for i in 1..(self.bit + 1) {
            let k = x >> i;
            self.a[k].0 = R::fold(self.eval(2 * k), self.eval(2 * k + 1));
        }
    }
    pub fn update(&mut self, l: usize, r: usize, op: R::E) {
        self.propagate(l);
        self.propagate(r - 1);
        let mut x = l + self.size;
        let mut y = r + self.size;
        while x < y {
            if x & 1 == 1 {
                self.a[x].1 = R::merge(self.a[x].1.clone(), op.clone());
                x += 1;
            }
            if y & 1 == 1 {
                y -= 1;
                self.a[y].1 = R::merge(self.a[y].1.clone(), op.clone());
            }
            x >>= 1;
            y >>= 1;
        }
        self.save(l);
        self.save(r - 1);
    }
    pub fn find(&mut self, l: usize, r: usize) -> R::T {
        self.propagate(l);
        self.propagate(r - 1);
        let mut x = l + self.size;
        let mut y = r + self.size;
        let mut p = R::e();
        let mut q = R::e();
        while x < y {
            if x & 1 == 1 {
                p = R::fold(p, self.eval(x));
                x += 1;
            }
            if y & 1 == 1 {
                y -= 1;
                q = R::fold(self.eval(y), q);
            }
            x >>= 1;
            y >>= 1;
        }
        R::fold(p, q)
    }
}

struct R;
impl TE for R {
    type T = usize;
    type E = usize;
    fn fold(l: Self::T, r: Self::T) -> Self::T {
        l ^ r
    }
    fn eval(p: Self::T, x: Self::E) -> Self::T {
        p ^ x
    }
    fn merge(f: Self::E, g: Self::E) -> Self::E {
        f ^ g
    }
    fn e() -> Self::T {
        0
    }
    fn id() -> Self::E {
        0
    }
}
// ---------- end lazy segment tree ----------

fn main() {
    input! {
        n: usize,
        q: usize,
        c: [usize;n],
        ab: [(usize,usize);n-1],
        txy: [(usize,usize,usize);q],
    }
    let mut eulor = EulerTour::new(n);
    for &(a,b) in &ab {
        eulor.add_edge(a-1, b-1, 0);
    }
    eulor.init(0);
    let mut seg = LazySegmentTree::<R>::new(2*n);
    for i in 0..n {
        let col = c[i];
        let l = eulor.L[i];
        let r = eulor.R[i];
        seg.update(l,l+1,col);
    }
    for &(t,x,y) in &txy {
        if t==1 {
            let idx = eulor.L[x-1];
            // println!("{}",idx);
            seg.update(idx,idx+1,y);
        }
        else {
            let l = eulor.L[x-1];
            let r = eulor.R[x-1];
            let ans = seg.find(l,r+1);
            println!("{}",ans);
        }
    }
}
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