#1150943 (Rust) No.318 学学学学学

• 問題: No.318 学学学学学
• ユーザー: 大寺優翔
• 提出日時: 2026-03-01 22:30:20
• 言語: Rust (1.93.0 + proconio + num + itertools)
• 結果: AC
• 実行時間: 78 ms / 2,000 ms
• コード長: 10,842 bytes
• コンパイル時間: 2,459 ms
• コンパイル使用メモリ: 229,336 KB
• 実行使用メモリ: 16,052 KB
• 最終ジャッジ日時: 2026-03-01 22:30:26
• 合計ジャッジ時間: 5,533 ms
• ジャッジサーバーID （参考情報）: judge4 / judge1

ファイルパターン	結果
sample	AC * 3
other	AC * 26

ソースコード

#![allow(non_snake_case, unused_imports, unused_macros, dead_code)]
use itertools::Itertools;
use proconio::{fastout, input, input_interactive, marker::*};
use std::collections::*;

macro_rules! debug {
    ($($a:expr),* $(,)*) => {
        #[cfg(debug_assertions)]
        eprintln!(concat!($("| ", stringify!($a), "={:?} "),*, "|"), $(&$a),*);
    };
}

struct Max;
impl Monoid for Max {
    type S = usize;
    fn identity() -> Self::S {
        0
    }
    fn binary_operation(a: &Self::S, b: &Self::S) -> Self::S {
        *a.max(b)
    }
}

struct MaxUpdate;
impl MapMonoid for MaxUpdate {
    type M = Max;
    type F = usize;
    fn identity_map() -> Self::F {
        0
    }
    fn mapping(f: &Self::F, x: &<Self::M as Monoid>::S) -> <Self::M as Monoid>::S {
        *x.max(f)
    }
    fn composition(f: &Self::F, g: &Self::F) -> Self::F {
        *f.max(g)
    }
}

#[fastout]
fn main() {
    input! {
        n: usize, a: [usize; n]
    }
    let mut b = LazySegtree::<MaxUpdate>::new(n);
    for (t, l, r) in a
        .into_iter()
        .enumerate()
        .map(|(i, ai)| (ai, i))
        .into_group_map()
        .into_iter()
        .map(|(k, vec)| (k, *vec.iter().min().unwrap(), *vec.iter().max().unwrap()))
        .sorted_by_key(|(k, _, _)| *k)
    {
        b.apply_range(l..=r, t);
    }
    println!("{}", (0..n).map(|i| b.get(i)).join(" "))
}

fn ceil_pow2(n: u32) -> u32 {
    32 - n.saturating_sub(1).leading_zeros()
}

pub trait MapMonoid {
    type M: Monoid;
    type F: Clone;
    // type S = <Self::M as Monoid>::S;
    fn identity_element() -> <Self::M as Monoid>::S {
        Self::M::identity()
    }
    fn binary_operation(
        a: &<Self::M as Monoid>::S,
        b: &<Self::M as Monoid>::S,
    ) -> <Self::M as Monoid>::S {
        Self::M::binary_operation(a, b)
    }
    fn identity_map() -> Self::F;
    fn mapping(f: &Self::F, x: &<Self::M as Monoid>::S) -> <Self::M as Monoid>::S;
    fn composition(f: &Self::F, g: &Self::F) -> Self::F;
}

pub trait Monoid {
    type S: Clone;
    fn identity() -> Self::S;
    fn binary_operation(a: &Self::S, b: &Self::S) -> Self::S;
}

impl<F: MapMonoid> Default for LazySegtree<F> {
    fn default() -> Self {
        Self::new(0)
    }
}
impl<F: MapMonoid> LazySegtree<F> {
    pub fn new(n: usize) -> Self {
        vec![F::identity_element(); n].into()
    }
}
impl<F: MapMonoid> From<Vec<<F::M as Monoid>::S>> for LazySegtree<F> {
    fn from(v: Vec<<F::M as Monoid>::S>) -> Self {
        let n = v.len();
        let log = ceil_pow2(n as u32) as usize;
        let size = 1 << log;
        let mut d = vec![F::identity_element(); 2 * size];
        let lz = vec![F::identity_map(); size];
        d[size..(size + n)].clone_from_slice(&v);
        let mut ret = LazySegtree {
            n,
            size,
            log,
            d,
            lz,
        };
        for i in (1..size).rev() {
            ret.update(i);
        }
        ret
    }
}

impl<F: MapMonoid> LazySegtree<F> {
    pub fn set(&mut self, mut p: usize, x: <F::M as Monoid>::S) {
        assert!(p < self.n);
        p += self.size;
        for i in (1..=self.log).rev() {
            self.push(p >> i);
        }
        self.d[p] = x;
        for i in 1..=self.log {
            self.update(p >> i);
        }
    }

    pub fn get(&mut self, mut p: usize) -> <F::M as Monoid>::S {
        assert!(p < self.n);
        p += self.size;
        for i in (1..=self.log).rev() {
            self.push(p >> i);
        }
        self.d[p].clone()
    }

    pub fn prod<R>(&mut self, range: R) -> <F::M as Monoid>::S
    where
        R: RangeBounds<usize>,
    {
        // Trivial optimization
        if range.start_bound() == Bound::Unbounded && range.end_bound() == Bound::Unbounded {
            return self.all_prod();
        }

        let mut r = match range.end_bound() {
            Bound::Included(r) => r + 1,
            Bound::Excluded(r) => *r,
            Bound::Unbounded => self.n,
        };
        let mut l = match range.start_bound() {
            Bound::Included(l) => *l,
            Bound::Excluded(l) => l + 1,
            // TODO: There are another way of optimizing [0..r)
            Bound::Unbounded => 0,
        };

        assert!(l <= r && r <= self.n);
        if l == r {
            return F::identity_element();
        }

        l += self.size;
        r += self.size;

        for i in (1..=self.log).rev() {
            if ((l >> i) << i) != l {
                self.push(l >> i);
            }
            if ((r >> i) << i) != r {
                self.push(r >> i);
            }
        }

        let mut sml = F::identity_element();
        let mut smr = F::identity_element();
        while l < r {
            if l & 1 != 0 {
                sml = F::binary_operation(&sml, &self.d[l]);
                l += 1;
            }
            if r & 1 != 0 {
                r -= 1;
                smr = F::binary_operation(&self.d[r], &smr);
            }
            l >>= 1;
            r >>= 1;
        }

        F::binary_operation(&sml, &smr)
    }

    pub fn all_prod(&self) -> <F::M as Monoid>::S {
        self.d[1].clone()
    }

    pub fn apply(&mut self, mut p: usize, f: F::F) {
        assert!(p < self.n);
        p += self.size;
        for i in (1..=self.log).rev() {
            self.push(p >> i);
        }
        self.d[p] = F::mapping(&f, &self.d[p]);
        for i in 1..=self.log {
            self.update(p >> i);
        }
    }
    pub fn apply_range<R>(&mut self, range: R, f: F::F)
    where
        R: RangeBounds<usize>,
    {
        let mut r = match range.end_bound() {
            Bound::Included(r) => r + 1,
            Bound::Excluded(r) => *r,
            Bound::Unbounded => self.n,
        };
        let mut l = match range.start_bound() {
            Bound::Included(l) => *l,
            Bound::Excluded(l) => l + 1,
            // TODO: There are another way of optimizing [0..r)
            Bound::Unbounded => 0,
        };

        assert!(l <= r && r <= self.n);
        if l == r {
            return;
        }

        l += self.size;
        r += self.size;

        for i in (1..=self.log).rev() {
            if ((l >> i) << i) != l {
                self.push(l >> i);
            }
            if ((r >> i) << i) != r {
                self.push((r - 1) >> i);
            }
        }

        {
            let l2 = l;
            let r2 = r;
            while l < r {
                if l & 1 != 0 {
                    self.all_apply(l, f.clone());
                    l += 1;
                }
                if r & 1 != 0 {
                    r -= 1;
                    self.all_apply(r, f.clone());
                }
                l >>= 1;
                r >>= 1;
            }
            l = l2;
            r = r2;
        }

        for i in 1..=self.log {
            if ((l >> i) << i) != l {
                self.update(l >> i);
            }
            if ((r >> i) << i) != r {
                self.update((r - 1) >> i);
            }
        }
    }

    pub fn max_right<G>(&mut self, mut l: usize, g: G) -> usize
    where
        G: Fn(<F::M as Monoid>::S) -> bool,
    {
        assert!(l <= self.n);
        assert!(g(F::identity_element()));
        if l == self.n {
            return self.n;
        }
        l += self.size;
        for i in (1..=self.log).rev() {
            self.push(l >> i);
        }
        let mut sm = F::identity_element();
        while {
            // do
            while l % 2 == 0 {
                l >>= 1;
            }
            if !g(F::binary_operation(&sm, &self.d[l])) {
                while l < self.size {
                    self.push(l);
                    l *= 2;
                    let res = F::binary_operation(&sm, &self.d[l]);
                    if g(res.clone()) {
                        sm = res;
                        l += 1;
                    }
                }
                return l - self.size;
            }
            sm = F::binary_operation(&sm, &self.d[l]);
            l += 1;
            //while
            {
                let l = l as isize;
                (l & -l) != l
            }
        } {}
        self.n
    }

    pub fn min_left<G>(&mut self, mut r: usize, g: G) -> usize
    where
        G: Fn(<F::M as Monoid>::S) -> bool,
    {
        assert!(r <= self.n);
        assert!(g(F::identity_element()));
        if r == 0 {
            return 0;
        }
        r += self.size;
        for i in (1..=self.log).rev() {
            self.push((r - 1) >> i);
        }
        let mut sm = F::identity_element();
        while {
            // do
            r -= 1;
            while r > 1 && r % 2 != 0 {
                r >>= 1;
            }
            if !g(F::binary_operation(&self.d[r], &sm)) {
                while r < self.size {
                    self.push(r);
                    r = 2 * r + 1;
                    let res = F::binary_operation(&self.d[r], &sm);
                    if g(res.clone()) {
                        sm = res;
                        r -= 1;
                    }
                }
                return r + 1 - self.size;
            }
            sm = F::binary_operation(&self.d[r], &sm);
            // while
            {
                let r = r as isize;
                (r & -r) != r
            }
        } {}
        0
    }
}

#[derive(Clone)]
pub struct LazySegtree<F>
where
    F: MapMonoid,
{
    n: usize,
    size: usize,
    log: usize,
    d: Vec<<F::M as Monoid>::S>,
    lz: Vec<F::F>,
}
impl<F> LazySegtree<F>
where
    F: MapMonoid,
{
    fn update(&mut self, k: usize) {
        self.d[k] = F::binary_operation(&self.d[2 * k], &self.d[2 * k + 1]);
    }
    fn all_apply(&mut self, k: usize, f: F::F) {
        self.d[k] = F::mapping(&f, &self.d[k]);
        if k < self.size {
            self.lz[k] = F::composition(&f, &self.lz[k]);
        }
    }
    fn push(&mut self, k: usize) {
        self.all_apply(2 * k, self.lz[k].clone());
        self.all_apply(2 * k + 1, self.lz[k].clone());
        self.lz[k] = F::identity_map();
    }
}

// TODO is it useful?
use std::{
    fmt::{Debug, Error, Formatter, Write},
    ops::{Bound, RangeBounds},
};
impl<F> Debug for LazySegtree<F>
where
    F: MapMonoid,
    F::F: Debug,
    <F::M as Monoid>::S: Debug,
{
    fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error> {
        for i in 0..self.log {
            for j in 0..1 << i {
                f.write_fmt(format_args!(
                    "{:?}[{:?}]\t",
                    self.d[(1 << i) + j],
                    self.lz[(1 << i) + j]
                ))?;
            }
            f.write_char('\n')?;
        }
        for i in 0..self.size {
            f.write_fmt(format_args!("{:?}\t", self.d[self.size + i]))?;
        }
        Ok(())
    }
}