結果

問題 No.1030 だんしんぐぱーりない
ユーザー nebocconebocco
提出日時 2021-03-02 19:40:01
言語 Rust
(1.77.0)
結果
AC  
実行時間 120 ms / 2,000 ms
コード長 13,537 bytes
コンパイル時間 1,693 ms
コンパイル使用メモリ 192,152 KB
実行使用メモリ 24,932 KB
最終ジャッジ日時 2024-04-14 04:49:23
合計ジャッジ時間 8,191 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge1
このコードへのチャレンジ（β）

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 0 ms
6,812 KB
testcase_01 AC 1 ms
6,940 KB
testcase_02 AC 1 ms
6,944 KB
testcase_03 AC 1 ms
6,944 KB
testcase_04 AC 1 ms
6,940 KB
testcase_05 AC 90 ms
20,268 KB
testcase_06 AC 67 ms
17,036 KB
testcase_07 AC 40 ms
9,728 KB
testcase_08 AC 43 ms
11,776 KB
testcase_09 AC 78 ms
20,260 KB
testcase_10 AC 24 ms
6,944 KB
testcase_11 AC 63 ms
14,720 KB
testcase_12 AC 79 ms
18,040 KB
testcase_13 AC 63 ms
16,508 KB
testcase_14 AC 79 ms
18,452 KB
testcase_15 AC 29 ms
7,552 KB
testcase_16 AC 70 ms
15,456 KB
testcase_17 AC 80 ms
20,144 KB
testcase_18 AC 88 ms
19,376 KB
testcase_19 AC 42 ms
9,344 KB
testcase_20 AC 57 ms
12,892 KB
testcase_21 AC 59 ms
15,436 KB
testcase_22 AC 56 ms
13,184 KB
testcase_23 AC 62 ms
13,568 KB
testcase_24 AC 45 ms
10,112 KB
testcase_25 AC 56 ms
13,696 KB
testcase_26 AC 31 ms
6,944 KB
testcase_27 AC 36 ms
7,424 KB
testcase_28 AC 75 ms
16,360 KB
testcase_29 AC 66 ms
16,492 KB
testcase_30 AC 52 ms
12,792 KB
testcase_31 AC 53 ms
12,544 KB
testcase_32 AC 70 ms
17,456 KB
testcase_33 AC 77 ms
18,876 KB
testcase_34 AC 28 ms
7,424 KB
testcase_35 AC 116 ms
24,932 KB
testcase_36 AC 117 ms
24,812 KB
testcase_37 AC 120 ms
24,812 KB
testcase_38 AC 118 ms
24,676 KB
testcase_39 AC 115 ms
24,804 KB
testcase_40 AC 1 ms
6,940 KB
testcase_41 AC 1 ms
6,944 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

fn main() {
	let mut io = IO::new();
    input!{ from io,
		n: usize, k: usize, q: usize,
		mut act: [i64; n],
		bev: [Usize1; k],
		ed: [(Usize1, Usize1); n-1],
		query: [(i32, Usize1, Usize1); q],
    }
	let mut hld = HeavyLightDecomposition::new(n);
	for &(u, v) in &ed {
		hld.add_edge(u, v);
	}
	hld.build(0);
	let mut euler = (0..n).collect::<Vec<_>>();
	euler.sort_by_key(|&i| hld.id(i));
	for &v in &euler {
		if hld.parent[v] < n {
			act[v] = act[v].max(act[hld.parent[v]]);
		}
	}
	let mut seg = SegmentTree2::from(&bev, n, |&u, &v| if u == n {
		v
	} else if v == n {
		u
	} else {
		hld.lca(u, v)
	});
	for &(t, u, v) in &query {
		if t == 1 {
			seg.set(u, v);
		} else {
			io.println(act[seg.fold(u..=v)]);
		}
	}
}

// ------------ Heavy Light Decomposition start ------------

// ------------ Segment Tree with function start ------------

pub struct SegmentTree2<T: Element, F: Fn(&T, &T) -> T> {
	size: usize,
	node: Vec<T>,
	zero: T,
	func: F
}

impl<T: Element, F: Fn(&T, &T) -> T> SegmentTree2<T, F> {
	pub fn new(n0: usize, zero: T, func: F) -> Self {
		let size = n0.next_power_of_two();
		let node = vec![zero.clone(); size * 2];
		Self {
			size, node, zero, func
		}
	}

	pub fn from(vec: &[T], zero: T, func: F) -> Self {
		let size = vec.len().next_power_of_two();
		let mut node = vec![zero.clone(); size << 1];
		node[size..(vec.len() + size)].clone_from_slice(&vec[..]);
		for i in (1..size).rev() {
			node[i] = func(&node[i << 1], &node[(i << 1) + 1]);
		}
		Self {
			size, node, zero, func
		}
	}

	pub fn set(&mut self, mut i: usize, x: T) {
		i += self.size;
		self.node[i] = x;
		self.fix(i);
	}

	fn fix(&mut self, mut i: usize) {
        while i > 0 {
			i >>= 1;
			self.node[i] = (self.func)(&self.node[i << 1], &self.node[(i << 1) + 1]);
		}
    }

	pub fn fold<R: RangeBounds<usize>>(&self, rng: R) -> T {
		let Range { start, end } = bounds_within(rng, self.size);
		let mut vl = self.zero.clone();
		let mut vr = self.zero.clone();
		let mut l = start + self.size;
		let mut r = end + self.size;
		while l < r {
			if l & 1 == 1 {
				vl = (self.func)(&vl, &self.node[l]);
				l += 1;
			}
			if r & 1 == 1 {
				r -= 1;
				vr = (self.func)(&self.node[r], &vr);
			}
			l >>= 1;
			r >>= 1;
		}
		(self.func)(&vl, &vr)
	}
}

impl<T: Element, F: Fn(&T, &T) -> T> Index<usize> for SegmentTree2<T, F> {
	type Output = T;
	fn index(&self, i: usize) -> &Self::Output {
		assert!(i < self.size, "index out of range: length is {}, but given {}.", self.size, i);
		&self.node[i + self.size]
	}
}

// ------------ Segment Tree with function end ------------

use std::ops::Bound::{Excluded, Included, Unbounded};
use std::ops::{Range, RangeBounds};

/// 区間を配列サイズに収まるように丸める。
///
/// 与えられた区間 `r` と `0..len` の共通部分を、有界な半開区間として返す。
///
/// # Examples
/// ```
/// use bibliotheca::utils::bounds::bounds_within;
///
/// assert_eq!(bounds_within(.., 7), 0..7);
/// assert_eq!(bounds_within(..=4, 7), 0..5);
/// ```
pub fn bounds_within<R: RangeBounds<usize>>(r: R, len: usize) -> Range<usize> {
    let e_ex = match r.end_bound() {
        Included(&e) => e + 1,
        Excluded(&e) => e,
        Unbounded => len,
    }
    .min(len);
    let s_in = match r.start_bound() {
        Included(&s) => s,
        Excluded(&s) => s + 1,
        Unbounded => 0,
    }
    .min(e_ex);
    s_in..e_ex
}

// ------------ algebraic traits start ------------
use std::marker::Sized;
use std::ops::*;

/// 元
pub trait Element: Sized + Clone + PartialEq {}
impl<T: Sized + Clone + PartialEq> Element for T {}

/// 結合性
pub trait Associative: Magma {}

/// マグマ
pub trait Magma: Element + Add<Output=Self> {}
impl<T: Element + Add<Output=Self>> Magma for T {}

/// 半群
pub trait SemiGroup: Magma + Associative {}
impl<T: Magma + Associative> SemiGroup for T {}

/// モノイド
pub trait Monoid: SemiGroup + Zero {}
impl<T: SemiGroup + Zero> Monoid for T {}

pub trait ComMonoid: Monoid + AddAssign {}
impl<T: Monoid + AddAssign> ComMonoid for T {}

/// 群
pub trait Group: Monoid + Neg<Output=Self> {}
impl<T: Monoid + Neg<Output=Self>> Group for T {}

pub trait ComGroup: Group + ComMonoid {}
impl<T: Group + ComMonoid> ComGroup for T {}

/// 半環
pub trait SemiRing: ComMonoid + Mul<Output=Self> + One {}
impl<T: ComMonoid + Mul<Output=Self> + One> SemiRing for T {}

/// 環
pub trait Ring: ComGroup + SemiRing {}
impl<T: ComGroup + SemiRing> Ring for T {}

pub trait ComRing: Ring + MulAssign {}
impl<T: Ring + MulAssign> ComRing for T {}

/// 体
pub trait Field: ComRing + Div<Output=Self> + DivAssign {}
impl<T: ComRing + Div<Output=Self> + DivAssign> Field for T {}

/// 加法単元
pub trait Zero: Element {
    fn zero() -> Self;
    fn is_zero(&self) -> bool {
        *self == Self::zero()
    }
}

/// 乗法単元
pub trait One: Element {
    fn one() -> Self;
    fn is_one(&self) -> bool {
        *self == Self::one()
    }
}

macro_rules! impl_integer {
    ($($T:ty,)*) => {
        $(
            impl Associative for $T {}

            impl Zero for $T {
                fn zero() -> Self { 0 }
                fn is_zero(&self) -> bool { *self == 0 }
            }

            impl<'a> Zero for &'a $T {
                fn zero() -> Self { &0 }
                fn is_zero(&self) -> bool { *self == &0 }
            }

            impl One for $T {
                fn one() -> Self { 1 }
                fn is_one(&self) -> bool { *self == 1 }
            }

            impl<'a> One for &'a $T {
                fn one() -> Self { &1 }
                fn is_one(&self) -> bool { *self == &1 }
            }
        )*
    };
}

impl_integer! {
    i8, i16, i32, i64, i128, isize,
    u8, u16, u32, u64, u128, usize,
}
// ------------ algebraic traits end ------------

pub struct HeavyLightDecomposition {
	graph: Vec<Vec<usize>>,
	index: Vec<usize>, // 新しい頂点番号
	parent: Vec<usize>, // 親
	head: Vec<usize>, // 属するHeavy Pathの根
	range: Vec<usize>, // 部分木の開区間右端
}

impl HeavyLightDecomposition {
	pub fn new(n: usize) -> Self {
		Self {
			graph: vec![Vec::new(); n],
			index: Vec::new(),
			parent: Vec::new(),
			head: Vec::new(),
			range: Vec::new(),
		}
	}

	pub fn add_edge(&mut self, u: usize, v: usize) {
		self.graph[u].push(v);
		self.graph[v].push(u);
	}

	pub fn build(&mut self, root: usize)  {
		let graph = &mut self.graph;
		let n = graph.len();
		let mut index = vec![0; n];
		let mut parent = vec![n; n];
		let mut head = vec![root; n];
		let mut range = vec![0; n];
		let mut siz = vec![1; n];
		let mut st = Vec::new();
		st.push(root);
		while let Some(v) = st.pop() {
			if v < n {
				st.push(!v);
				if let Some(k) = graph[v].iter().position(|&u| u == parent[v]) {
					graph[v].swap_remove(k);
				}
				graph[v].iter().for_each(|&u| { parent[u] = v; st.push(u); });
			} else {
				let v = !v;
				for i in 0..graph[v].len() {
					let u = graph[v][i];
					siz[v] += siz[u];
					if siz[graph[v][0]] < siz[u] {
						graph[v].swap(0, i);
					}
				}
			}
		}
		st.push(root);
		let mut c = 0;
		while let Some(v) = st.pop() {
			if v < n {
				st.push(!v);
				index[v] = c; c += 1;
				for &u in graph[v].iter().skip(1) {
					head[u] = u;
					st.push(u);
				}
				if let Some(&u) = graph[v].get(0) {
					head[u] = head[v];
					st.push(u);
				}
			} else {
				range[!v] = c;
			}
		}
		self.index = index;
		self.parent = parent;
		self.head = head;
		self.range = range;
	}

	pub fn lca(&self, mut u: usize, mut v: usize) -> usize {
		let parent = &self.parent;
		let head = &self.head;
		let index = &self.index;

		while head[u] != head[v] {
			if index[u] < index[v] {
				v = parent[head[v]];
			} else {
				u = parent[head[u]];
			}
		}
		if index[u] < index[v] {
			u
		} else {
			v
		}
	}

	fn for_each(&self, mut u: usize, mut v: usize, b: usize) -> (Vec<Range<usize>>, Vec<Range<usize>>) {
		let parent = &self.parent;
		let head = &self.head;
		let index = &self.index;

		let mut up = Vec::new();
		let mut down = Vec::new();
		while head[u] != head[v] {
			if index[u] < index[v] {
				let h = head[v];
				down.push(index[h]..index[v] + 1);
				v = parent[h];
			} else {
				let h = head[u];
				up.push(index[h]..index[u] + 1);
				u = parent[h];
			}
		}
		if index[u] < index[v] {
			down.push(index[u] + b .. index[v] + 1);
		} else if index[v] + b < index[u] + 1 {
			up.push(index[v] + b .. index[u] + 1);
		}

		down.reverse();
		(up, down)
	}

	pub fn id(&self, v: usize) -> usize {
		self.index[v]
	}

	pub fn for_each_vertex(&self, u: usize, v: usize) -> (Vec<Range<usize>>, Vec<Range<usize>>) {
		self.for_each(u, v, 0)
	}
	pub fn for_each_edge(&self, u: usize, v: usize) -> (Vec<Range<usize>>, Vec<Range<usize>>) {
		self.for_each(u, v, 1)
	}
	pub fn subtree_range(&self, v: usize) -> Range<usize> {
		self.index[v]..self.range[v]
	}
}

// ------------ Heavy Light Decomposition end ------------



// ------------ io module start ------------
use std::io::{stdout, BufWriter, Read, StdoutLock, Write};

pub struct IO {
	iter: std::str::SplitAsciiWhitespace<'static>,
	buf: BufWriter<StdoutLock<'static>>,
}

impl IO {
	pub fn new() -> Self {
		let mut input = String::new();
		std::io::stdin().read_to_string(&mut input).unwrap();
		let input = Box::leak(input.into_boxed_str());
		let out = Box::new(stdout());
		IO {
			iter: input.split_ascii_whitespace(),
			buf: BufWriter::new(Box::leak(out).lock()),
		}
	}
	fn scan_str(&mut self) -> &'static str {
		self.iter.next().unwrap()
	}
	pub fn scan<T: Scan>(&mut self) -> <T as Scan>::Output {
		<T as Scan>::scan(self)
	}
	pub fn scan_vec<T: Scan>(&mut self, n: usize) -> Vec<<T as Scan>::Output> {
		(0..n).map(|_| self.scan::<T>()).collect()
	}
	pub fn print<T: Print>(&mut self, x: T) {
		<T as Print>::print(self, x);
	}
	pub fn println<T: Print>(&mut self, x: T) {
		self.print(x);
		self.print("\n");
	}
	pub fn iterln<T: Print, I: Iterator<Item = T>>(&mut self, mut iter: I, delim: &str) {
		if let Some(v) = iter.next() {
			self.print(v);
			for v in iter {
				self.print(delim);
				self.print(v);
			}
		}
		self.print("\n");
	}
	pub fn flush(&mut self) {
		self.buf.flush().unwrap();
	}
}

impl Default for IO {
	fn default() -> Self {
		Self::new()
	}
}

pub trait Scan {
	type Output;
	fn scan(io: &mut IO) -> Self::Output;
}

macro_rules! impl_scan {
	($($t:tt),*) => {
		$(
			impl Scan for $t {
				type Output = Self;
				fn scan(s: &mut IO) -> Self::Output {
					s.scan_str().parse().unwrap()
				}
			}
		)*
	};
}

impl_scan!(i16, i32, i64, isize, u16, u32, u64, usize, String, f32, f64);

pub enum Bytes {}
impl Scan for Bytes {
	type Output = &'static [u8];
	fn scan(s: &mut IO) -> Self::Output {
		s.scan_str().as_bytes()
	}
}

pub enum Chars {}
impl Scan for Chars {
	type Output = Vec<char>;
	fn scan(s: &mut IO) -> Self::Output {
		s.scan_str().chars().collect()
	}
}

pub enum Usize1 {}
impl Scan for Usize1 {
	type Output = usize;
	fn scan(s: &mut IO) -> Self::Output {
		s.scan::<usize>().wrapping_sub(1)
	}
}

impl<T: Scan, U: Scan> Scan for (T, U) {
	type Output = (T::Output, U::Output);
	fn scan(s: &mut IO) -> Self::Output {
		(T::scan(s), U::scan(s))
	}
}

impl<T: Scan, U: Scan, V: Scan> Scan for (T, U, V) {
	type Output = (T::Output, U::Output, V::Output);
	fn scan(s: &mut IO) -> Self::Output {
		(T::scan(s), U::scan(s), V::scan(s))
	}
}

impl<T: Scan, U: Scan, V: Scan, W: Scan> Scan for (T, U, V, W) {
	type Output = (T::Output, U::Output, V::Output, W::Output);
	fn scan(s: &mut IO) -> Self::Output {
		(T::scan(s), U::scan(s), V::scan(s), W::scan(s))
	}
}

pub trait Print {
	fn print(w: &mut IO, x: Self);
}

macro_rules! impl_print_int {
	($($t:ty),*) => {
		$(
			impl Print for $t {
				fn print(w: &mut IO, x: Self) {
					w.buf.write_all(x.to_string().as_bytes()).unwrap();
				}
			}
		)*
	};
}

impl_print_int!(i16, i32, i64, isize, u16, u32, u64, usize, f32, f64);

impl Print for u8 {
	fn print(w: &mut IO, x: Self) {
		w.buf.write_all(&[x]).unwrap();
	}
}

impl Print for &[u8] {
	fn print(w: &mut IO, x: Self) {
		w.buf.write_all(x).unwrap();
	}
}

impl Print for &str {
	fn print(w: &mut IO, x: Self) {
		w.print(x.as_bytes());
	}
}

impl Print for String {
	fn print(w: &mut IO, x: Self) {
		w.print(x.as_bytes());
	}
}

impl<T: Print, U: Print> Print for (T, U) {
	fn print(w: &mut IO, (x, y): Self) {
		w.print(x);
		w.print(" ");
		w.print(y);
	}
}

impl<T: Print, U: Print, V: Print> Print for (T, U, V) {
	fn print(w: &mut IO, (x, y, z): Self) {
		w.print(x);
		w.print(" ");
		w.print(y);
		w.print(" ");
		w.print(z);
	}
}

mod neboccoio_macro {
	#[macro_export]
	macro_rules! input {
		(@start $io:tt @read @rest) => {};

		(@start $io:tt @read @rest, $($rest: tt)*) => {
			input!(@start $io @read @rest $($rest)*)
		};

		(@start $io:tt @read @rest mut $($rest:tt)*) => {
			input!(@start $io @read @mut [mut] @rest $($rest)*)
		};

		(@start $io:tt @read @rest $($rest:tt)*) => {
			input!(@start $io @read @mut [] @rest $($rest)*)
		};

		(@start $io:tt @read @mut [$($mut:tt)?] @rest $var:tt: [$kind:tt; $len:expr] $($rest:tt)*) => {
			let $($mut)* $var = $io.scan_vec::<$kind>($len);
			input!(@start $io @read @rest $($rest)*)
		};

		(@start $io:tt @read @mut [$($mut:tt)?] @rest $var:tt: $kind:tt $($rest:tt)*) => {
			let $($mut)* $var = $io.scan::<$kind>();
			input!(@start $io @read @rest $($rest)*)
		};

		(from $io:tt $($rest:tt)*) => {
			input!(@start $io @read @rest $($rest)*)
		};
	}
}

// ------------ io module end ------------
0