#904557 (Rust) No.2470 Gemini Tree(Ver.Jadeite)

• 問題: No.2470 Gemini Tree(Ver.Jadeite)
• ユーザー: akakimidori
• 提出日時: 2023-08-17 18:39:18
• 言語: Rust (1.77.0 + proconio)
• 結果: AC
• 実行時間: 397 ms / 5,000 ms
• コード長: 18,564 bytes
• コンパイル時間: 14,799 ms
• コンパイル使用メモリ: 376,520 KB
• 実行使用メモリ: 34,376 KB
• 最終ジャッジ日時: 2024-05-05 01:25:27
• 合計ジャッジ時間: 23,551 ms
• ジャッジサーバーID （参考情報）: judge3 / judge5

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; 5,248 KB
testcase_03	AC	2 ms; 5,376 KB
testcase_04	AC	1 ms; 5,376 KB
testcase_05	AC	2 ms; 5,376 KB
testcase_06	AC	397 ms; 32,448 KB
testcase_07	AC	295 ms; 32,324 KB
testcase_08	AC	234 ms; 32,416 KB
testcase_09	AC	289 ms; 32,328 KB
testcase_10	AC	272 ms; 32,324 KB
testcase_11	AC	258 ms; 32,328 KB
testcase_12	AC	237 ms; 32,324 KB
testcase_13	AC	273 ms; 32,456 KB
testcase_14	AC	259 ms; 32,332 KB
testcase_15	AC	241 ms; 32,192 KB
testcase_16	AC	214 ms; 32,440 KB
testcase_17	AC	255 ms; 33,356 KB
testcase_18	AC	216 ms; 32,388 KB
testcase_19	AC	227 ms; 32,320 KB
testcase_20	AC	246 ms; 32,448 KB
testcase_21	AC	341 ms; 34,376 KB
testcase_22	AC	262 ms; 32,328 KB
testcase_23	AC	235 ms; 32,316 KB
testcase_24	AC	202 ms; 32,440 KB
testcase_25	AC	263 ms; 32,324 KB
testcase_26	AC	199 ms; 32,316 KB
testcase_27	AC	215 ms; 32,308 KB
testcase_28	AC	193 ms; 32,412 KB
testcase_29	AC	249 ms; 32,448 KB

コンパイルメッセージ

warning: unused variable: `c`
  --> src/main.rs:36:17
   |
36 |     for &(a, b, c) in e.iter() {
   |                 ^ help: if this is intentional, prefix it with an underscore: `_c`
   |
   = note: `#[warn(unused_variables)]` on by default

warning: unused variable: `a`
   --> src/main.rs:126:14
    |
126 |         let (a, b, w) = e[i];
    |              ^ help: if this is intentional, prefix it with an underscore: `_a`

warning: unused variable: `b`
   --> src/main.rs:126:17
    |
126 |         let (a, b, w) = e[i];
    |                 ^ help: if this is intentional, prefix it with an underscore: `_b`

warning: unused variable: `src`
  --> src/main.rs:41:17
   |
41 |     let topo = |src: usize| -> Vec<(usize, usize)> {
   |                 ^^^ help: if this is intentional, prefix it with an underscore: `_src`

warning: unused variable: `p`
   --> src/main.rs:109:14
    |
109 |         let (p, c) = if hld.parent[a] == b { (b, a) } else { (a, b) };
    |              ^ help: if this is intentional, prefix it with an underscore: `_p`

warning: variable does not need to be mutable
   --> src/main.rs:112:13
    |
112 |         let mut y = pos.lower_bound(&r);
    |             ----^
    |             |
    |             help: remove this `mut`
    |
    = note: `#[warn(unused_mut)]` on by default

warning: variable does not need to be mutable
   --> src/main.rs:102:9
    |
102 |     let mut seg = std::cell::RefCell::new(LazySegmentTree::build(
    |         ----^^^
    |         |
    |         help: remove this `mut`

warning: type alias `Map` is never used
 --> src/main.rs:4:6
  |
4 | type Map<K, V> = BTreeMap<K, V>;
  |      ^^^
  |
  = note: `#[warn(dead_code)]` on by default

warning: type alias `Set` is never used
 --> src/main.rs:5:6
  |
5 | type Set<T> = BTreeSet<T>;
  |      ^^^

warning: type alias `Deque` is never used
 --> src/main.rs:6:6
  |
6 | type Deque<T> = VecDeque<T>;
  |      ^^^^^

ソースコード

use std::collections::*;
use std::io::Write;

type Map<K, V> = BTreeMap<K, V>;
type Set<T> = BTreeSet<T>;
type Deque<T> = VecDeque<T>;

fn run() {
    input! {
        n: usize,
        s: bytes,
        e: [(usize1, usize1, i64); n - 1],
        q: usize,
        ask: [(usize1, i64); q],
    }
    let mut s = s;
    let mut cnt = [0; 2];
    for s in s.iter_mut() {
        if *s == b'G' {
            *s = 0;
        } else {
            *s = 1;
        }
        cnt[*s as usize] += 1;
    }
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    if cnt[0].max(cnt[1]) == n {
        for _ in 0..q {
            writeln!(out, "0").ok();
        }
        return;
    }
    let mut g = vec![vec![]; n];
    let mut hld = HLD::new(n);
    for &(a, b, c) in e.iter() {
        g[a].push(b);
        g[b].push(a);
        hld.add_edge(a, b);
    }
    let topo = |src: usize| -> Vec<(usize, usize)> {
        let mut res = vec![(0, n)];
        for i in 0..n {
            let (v, p) = res[i];
            for &u in g[v].iter() {
                if u != p {
                    res.push((u, v));
                }
            }
        }
        res
    };
    let ord = topo(0);
    let mut root = 0;
    let mut size = vec![1; n];
    for &(v, p) in ord.iter().rev() {
        let mut max = 0usize;
        for &u in g[v].iter() {
            if u != p {
                max = max.max(size[u]);
                size[v] += size[u];
            }
        }
        max = max.max(n - size[v]);
        if 2 * max <= n {
            root = v;
            break;
        }
    }
    hld.build(root);
    let mut dp = s
        .iter()
        .map(|s| {
            let mut cnt = [0; 2];
            cnt[*s as usize] += 1;
            cnt
        })
        .collect::<Vec<_>>();
    for i in (0..n).rev() {
        let v = hld.vertex(i);
        let mut val = dp[v];
        for &u in hld.child[v].iter() {
            val[0] += dp[u][0];
            val[1] += dp[u][1];
        }
        dp[v] = val;
    }
    if cnt[0] > cnt[1] {
        for dp in dp.iter_mut() {
            *dp = [dp[1], dp[0]];
        }
        cnt = [cnt[1], cnt[0]];
    }
    let mut pos = vec![];
    for i in 0..n {
        let v = hld.vertex(i);
        let (l, r) = hld.sub_tree(v);
        if r - l == cnt[0] {
            pos.push(i);
        }
    }
    let mut seg = std::cell::RefCell::new(LazySegmentTree::build(
        (0..pos.len()).map(|_| 0),
        pos.len(),
        R,
    ));
    let update = |k: usize, w: i64| {
        let (a, b, _) = e[k];
        let (p, c) = if hld.parent[a] == b { (b, a) } else { (a, b) };
        let (l, r) = hld.sub_tree(c);
        let mut x = pos.lower_bound(&l);
        let mut y = pos.lower_bound(&r);
        let sub = dp[c];
        let mut seg = seg.borrow_mut();
        if x > 0 && hld.sub_tree(hld.vertex(pos[x - 1])).1 >= r {
            seg.update(x - 1, x, w * sub[1] as i64);
            x -= 1;
        } else {
            let need = cnt[0] - sub[0];
            seg.update(x, y, w * need as i64);
        }
        seg.update(0, x, w * sub[0] as i64);
        seg.update(y, pos.len(), w * sub[0] as i64);
    };
    for i in 0..(n - 1) {
        let (a, b, w) = e[i];
        update(i, w);
//        writeln!(out, "{}", seg.borrow_mut().find(0, pos.len())).ok();
    }
    for (k, w) in ask {
        update(k, w);
        writeln!(out, "{}", seg.borrow_mut().find(0, pos.len())).ok();
    }
}

struct R;
impl TE for R {
    type T = i64;
    type E = i64;
    fn fold(&self, l: &Self::T, r: &Self::T) -> Self::T {
        std::cmp::min(*l, *r)
    }
    fn eval(&self, x: &Self::T, f: &Self::E) -> Self::T {
        *x + *f
    }
    fn merge(&self, g: &Self::E, h: &Self::E) -> Self::E {
        *g + *h
    }
    fn e(&self) -> Self::T {
        std::i64::MAX / 2
    }
    fn id(&self) -> Self::E {
        0
    }
}

fn main() {
    run();
}

// ---------- begin input macro ----------
// reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
#[macro_export]
macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

#[macro_export]
macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};
    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

#[macro_export]
macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };
    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };
    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };
    ($iter:expr, bytes) => {
        read_value!($iter, String).bytes().collect::<Vec<u8>>()
    };
    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };
    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}
// ---------- end input macro ----------
// ---------- begin Heavy-Light decomposition ----------
pub struct HLD {
    size: usize,
    edge: Vec<(usize, usize)>,
    child: Vec<Vec<usize>>,
    path_root: Vec<usize>,
    parent: Vec<usize>,
    left: Vec<usize>,
    right: Vec<usize>,
    inverse: Vec<usize>,
}

impl HLD {
    pub fn new(size: usize) -> Self {
        assert!(size <= 10usize.pow(8));
        HLD {
            size: size,
            edge: Vec::with_capacity(size - 1),
            child: Vec::new(),
            path_root: Vec::new(),
            parent: Vec::new(),
            left: Vec::new(),
            right: Vec::new(),
            inverse: Vec::new(),
        }
    }
    pub fn add_edge(&mut self, a: usize, b: usize) {
        assert!(a != b && a < self.size && b < self.size);
        self.edge.push((a, b));
    }
    pub fn build(&mut self, root: usize) {
        assert!(self.edge.len() + 1 == self.size);
        let size = self.size;
        let mut cnt = vec![0; size];
        for &(a, b) in self.edge.iter() {
            cnt[a] += 1;
            cnt[b] += 1;
        }
        let mut child = cnt
            .into_iter()
            .map(|c| Vec::with_capacity(c))
            .collect::<Vec<_>>();
        for &(a, b) in self.edge.iter() {
            child[a].push(b);
            child[b].push(a);
        }
        let mut parent = vec![size; size];
        let mut q = Vec::with_capacity(size);
        q.push(root);
        parent[root] = root;
        for i in 0..size {
            let v = q[i];
            for u in child[v].clone() {
                assert!(parent[u] == size);
                parent[u] = v;
                child[u].retain(|e| *e != v);
                q.push(u);
            }
        }
        let mut sum = vec![1; size];
        for &v in q.iter().rev() {
            let child = &mut child[v];
            if !child.is_empty() {
                let (pos, _) = child.iter().enumerate().max_by_key(|p| sum[*p.1]).unwrap();
                child.swap(0, pos);
                sum[v] = 1 + child.iter().fold(0, |s, a| s + sum[*a]);
            }
        }
        let mut path_root = (0..size).collect::<Vec<_>>();
        let mut left = vec![0; size];
        let mut right = vec![0; size];
        let mut dfs = vec![(root, false)];
        let mut id = 0;
        while let Some((v, end)) = dfs.pop() {
            if end {
                right[v] = id;
                continue;
            }
            left[v] = id;
            id += 1;
            dfs.push((v, true));
            let child = &child[v];
            if !child.is_empty() {
                for &u in child[1..].iter() {
                    path_root[u] = u;
                    dfs.push((u, false));
                }
                let u = child[0];
                path_root[u] = path_root[v];
                dfs.push((u, false));
            }
        }
        let mut inverse = vec![size; size];
        for (i, l) in left.iter().enumerate() {
            inverse[*l] = i;
        }
        self.child = child;
        self.parent = parent;
        self.left = left;
        self.right = right;
        self.path_root = path_root;
        self.inverse = inverse;
    }
    pub fn lca(&self, mut a: usize, mut b: usize) -> usize {
        assert!(a < self.size && b < self.size);
        let path = &self.path_root;
        let parent = &self.parent;
        let index = &self.left;
        while path[a] != path[b] {
            if index[a] > index[b] {
                std::mem::swap(&mut a, &mut b);
            }
            b = parent[path[b]];
        }
        std::cmp::min((index[a], a), (index[b], b)).1
    }
    pub fn path(
        &self,
        src: usize,
        dst: usize,
        up: &mut Vec<(usize, usize)>,
        down: &mut Vec<(usize, usize)>,
    ) {
        assert!(src < self.size && dst < self.size);
        up.clear();
        down.clear();
        let path = &self.path_root;
        let parent = &self.parent;
        let index = &self.left;
        let mut x = src;
        let mut y = dst;
        while path[x] != path[y] {
            if index[x] > index[y] {
                let p = path[x];
                assert!(p == path[p]);
                up.push((index[p], index[x] + 1));
                x = parent[p];
            } else {
                let p = path[y];
                assert!(p == path[p]);
                down.push((index[p], index[y] + 1));
                y = parent[p];
            }
        }
        if index[x] <= index[y] {
            down.push((index[x], index[y] + 1));
        } else {
            up.push((index[y], index[x] + 1));
        }
        down.reverse();
    }
    pub fn sub_tree(&self, v: usize) -> (usize, usize) {
        assert!(v < self.size);
        (self.left[v], self.right[v])
    }
    pub fn parent(&self, v: usize) -> Option<usize> {
        assert!(v < self.size);
        let p = self.parent[v];
        if p == v {
            None
        } else {
            Some(p)
        }
    }
    // s -> t へのパスの2番目の頂点を返す
    pub fn next(&self, s: usize, t: usize) -> usize {
        assert!(s < self.size && t < self.size && s != t);
        let (a, b) = self.sub_tree(s);
        let (c, d) = self.sub_tree(t);
        if !(a <= c && d <= b) {
            return self.parent[s];
        }
        let mut pos = t;
        let mut pre = t;
        while self.path_root[s] != self.path_root[pos] {
            pre = self.path_root[pos];
            pos = self.parent[pre];
        }
        if s == pos {
            pre
        } else {
            self.child[s][0]
        }
    }
    pub fn vertex(&self, x: usize) -> usize {
        assert!(x < self.size);
        self.inverse[x]
    }
    pub fn jump(
        &self,
        s: usize,
        t: usize,
        mut k: usize,
        up: &mut Vec<(usize, usize)>,
        down: &mut Vec<(usize, usize)>,
    ) -> Option<usize> {
        assert!(s.max(t) < self.size);
        self.path(s, t, up, down);
        for (l, r) in up.drain(..) {
            if k < r - l {
                return Some(self.vertex(r - 1 - k));
            }
            k -= r - l;
        }
        for (l, r) in down.drain(..) {
            if k < r - l {
                return Some(self.vertex(l + k));
            }
            k -= r - l;
        }
        None
    }
}
// ---------- end Heavy-Light decomposition ----------

// ---------- begin Lazy Segment Tree ----------
pub trait TE {
    type T: Clone;
    type E: Clone;
    fn fold(&self, l: &Self::T, r: &Self::T) -> Self::T;
    fn eval(&self, x: &Self::T, f: &Self::E) -> Self::T;
    fn merge(&self, g: &Self::E, h: &Self::E) -> Self::E;
    fn e(&self) -> Self::T;
    fn id(&self) -> Self::E;
}

pub struct LazySegmentTree<R: TE> {
    n: usize,
    size: usize,
    bit: u32,
    op: R,
    data: Vec<(R::T, R::E)>,
}

impl<R: TE> LazySegmentTree<R> {
    pub fn new(n: usize, op: R) -> Self {
        assert!(n > 0);
        let size = n.next_power_of_two();
        let bit = size.trailing_zeros();
        let data = vec![(op.e(), op.id()); 2 * size];
        Self {
            n,
            size,
            bit,
            op,
            data,
        }
    }
    pub fn build<I>(init: I, n: usize, op: R) -> Self
    where
        I: Iterator<Item = R::T>,
    {
        let mut seg = Self::new(n, op);
        for (data, ini) in seg.data[seg.size..].iter_mut().zip(init) {
            data.0 = ini;
        }
        for i in (1..seg.size).rev() {
            seg.pull(i);
        }
        seg
    }
    pub fn update(&mut self, l: usize, r: usize, f: R::E) {
        assert!(l <= r && r <= self.n);
        if l == r {
            return;
        }
        self.push_range(l, r);
        let mut s = l + self.size;
        let mut t = r + self.size;
        while s < t {
            if s & 1 == 1 {
                self.apply(s, &f);
                s += 1;
            }
            if t & 1 == 1 {
                t -= 1;
                self.apply(t, &f);
            }
            s >>= 1;
            t >>= 1;
        }
        let l = l + self.size;
        let r = r + self.size;
        for k in 1..=self.bit {
            if (l >> k) << k != l {
                self.pull(l >> k);
            }
            if (r >> k) << k != r {
                self.pull((r - 1) >> k);
            }
        }
    }
    pub fn find(&mut self, l: usize, r: usize) -> R::T {
        assert!(l <= r && r <= self.n);
        if l == r {
            return self.op.e();
        }
        self.push_range(l, r);
        let mut l = l + self.size;
        let mut r = r + self.size;
        let mut p = self.op.e();
        let mut q = self.op.e();
        while l < r {
            if l & 1 == 1 {
                p = self.op.fold(&p, &self.data[l].0);
                l += 1;
            }
            if r & 1 == 1 {
                r -= 1;
                q = self.op.fold(&self.data[r].0, &q);
            }
            l >>= 1;
            r >>= 1;
        }
        self.op.fold(&p, &q)
    }
    pub fn set_at(&mut self, x: usize, v: R::T) {
        assert!(x < self.n);
        let x = x + self.size;
        for k in (1..=self.bit).rev() {
            self.push(x >> k);
        }
        self.data[x].0 = v;
        for k in 1..=self.bit {
            self.pull(x >> k);
        }
    }
    fn push_range(&mut self, l: usize, r: usize) {
        let l = l + self.size;
        let r = r + self.size;
        for k in (1..=self.bit).rev() {
            if (l >> k) << k != l {
                self.push(l >> k);
            }
            if (r >> k) << k != r {
                self.push((r - 1) >> k);
            }
        }
    }
    fn apply(&mut self, x: usize, f: &R::E) {
        self.data[x].0 = self.op.eval(&self.data[x].0, f);
        self.data[x].1 = self.op.merge(&self.data[x].1, f);
    }
    fn push(&mut self, x: usize) {
        let f = std::mem::replace(&mut self.data[x].1, self.op.id());
        self.apply(2 * x, &f);
        self.apply(2 * x + 1, &f);
    }
    fn pull(&mut self, x: usize) {
        self.data[x].0 = self.op.fold(&self.data[2 * x].0, &self.data[2 * x + 1].0);
    }
}
// ---------- end Lazy Segment Tree ----------
// ---------- begin super slice ----------
pub trait SuperSlice {
    type Item;
    fn lower_bound(&self, key: &Self::Item) -> usize
    where
        Self::Item: Ord;
    fn lower_bound_by<F>(&self, f: F) -> usize
    where
        F: FnMut(&Self::Item) -> std::cmp::Ordering;
    fn lower_bound_by_key<K, F>(&self, key: &K, f: F) -> usize
    where
        K: Ord,
        F: FnMut(&Self::Item) -> K;
    fn upper_bound(&self, key: &Self::Item) -> usize
    where
        Self::Item: Ord;
    fn upper_bound_by<F>(&self, f: F) -> usize
    where
        F: FnMut(&Self::Item) -> std::cmp::Ordering;
    fn upper_bound_by_key<K, F>(&self, key: &K, f: F) -> usize
    where
        K: Ord,
        F: FnMut(&Self::Item) -> K;
    fn next_permutation(&mut self) -> bool
    where
        Self::Item: Ord;
    fn next_permutation_by<F>(&mut self, f: F) -> bool
    where
        F: FnMut(&Self::Item, &Self::Item) -> std::cmp::Ordering;
    fn prev_permutation(&mut self) -> bool
    where
        Self::Item: Ord;
}

impl<T> SuperSlice for [T] {
    type Item = T;
    fn lower_bound(&self, key: &Self::Item) -> usize
    where
        T: Ord,
    {
        self.lower_bound_by(|p| p.cmp(key))
    }
    fn lower_bound_by<F>(&self, mut f: F) -> usize
    where
        F: FnMut(&Self::Item) -> std::cmp::Ordering,
    {
        self.binary_search_by(|p| f(p).then(std::cmp::Ordering::Greater))
            .unwrap_err()
    }
    fn lower_bound_by_key<K, F>(&self, key: &K, mut f: F) -> usize
    where
        K: Ord,
        F: FnMut(&Self::Item) -> K,
    {
        self.lower_bound_by(|p| f(p).cmp(key))
    }
    fn upper_bound(&self, key: &Self::Item) -> usize
    where
        T: Ord,
    {
        self.upper_bound_by(|p| p.cmp(key))
    }
    fn upper_bound_by<F>(&self, mut f: F) -> usize
    where
        F: FnMut(&Self::Item) -> std::cmp::Ordering,
    {
        self.binary_search_by(|p| f(p).then(std::cmp::Ordering::Less))
            .unwrap_err()
    }
    fn upper_bound_by_key<K, F>(&self, key: &K, mut f: F) -> usize
    where
        K: Ord,
        F: FnMut(&Self::Item) -> K,
    {
        self.upper_bound_by(|p| f(p).cmp(key))
    }
    fn next_permutation(&mut self) -> bool
    where
        T: Ord,
    {
        self.next_permutation_by(|a, b| a.cmp(b))
    }
    fn next_permutation_by<F>(&mut self, mut f: F) -> bool
    where
        F: FnMut(&Self::Item, &Self::Item) -> std::cmp::Ordering,
    {
        use std::cmp::Ordering::*;
        if let Some(x) = self.windows(2).rposition(|a| f(&a[0], &a[1]) == Less) {
            let y = self.iter().rposition(|b| f(&self[x], b) == Less).unwrap();
            self.swap(x, y);
            self[(x + 1)..].reverse();
            true
        } else {
            self.reverse();
            false
        }
    }
    fn prev_permutation(&mut self) -> bool
    where
        T: Ord,
    {
        self.next_permutation_by(|a, b| a.cmp(b).reverse())
    }
}
// ---------- end super slice ----------