#789909 (Rust) No.2047 Path Factory

提出ソース

結果

問題	No.2047 Path Factory
ユーザー	akakimidori
提出日時	2022-08-19 21:25:49
言語	Rust (1.77.0)
結果	AC
実行時間	33 ms / 2,000 ms
コード長	11,793 bytes
コンパイル時間	1,435 ms
コンパイル使用メモリ	179,788 KB
実行使用メモリ	13,192 KB
最終ジャッジ日時	2024-04-23 13:28:09
合計ジャッジ時間	2,828 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
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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 6,812 KB
testcase_01	AC	1 ms 6,944 KB
testcase_02	AC	1 ms 6,940 KB
testcase_03	AC	0 ms 6,944 KB
testcase_04	AC	1 ms 6,944 KB
testcase_05	AC	1 ms 6,944 KB
testcase_06	AC	1 ms 6,940 KB
testcase_07	AC	20 ms 8,184 KB
testcase_08	AC	16 ms 7,012 KB
testcase_09	AC	20 ms 7,904 KB
testcase_10	AC	29 ms 10,360 KB
testcase_11	AC	17 ms 6,976 KB
testcase_12	AC	10 ms 6,940 KB
testcase_13	AC	10 ms 6,940 KB
testcase_14	AC	17 ms 7,472 KB
testcase_15	AC	20 ms 8,236 KB
testcase_16	AC	13 ms 6,940 KB
testcase_17	AC	13 ms 6,940 KB
testcase_18	AC	16 ms 7,088 KB
testcase_19	AC	19 ms 8,112 KB
testcase_20	AC	29 ms 10,856 KB
testcase_21	AC	15 ms 7,024 KB
testcase_22	AC	4 ms 6,940 KB
testcase_23	AC	4 ms 6,944 KB
testcase_24	AC	4 ms 6,940 KB
testcase_25	AC	21 ms 12,020 KB
testcase_26	AC	33 ms 12,020 KB
testcase_27	AC	28 ms 12,680 KB
testcase_28	AC	18 ms 13,192 KB
testcase_29	AC	1 ms 6,940 KB

権限があれば一括ダウンロードができます

コンパイルメッセージ

warning: unused import: `std::io::Write`
 --> main.rs:1:5
  |
1 | use std::io::Write;
  |     ^^^^^^^^^^^^^^
  |
  = note: `#[warn(unused_imports)]` on by default

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

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

warning: 4 warnings emitted

ソースコード

raw source code

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 run() {
    input! {
        n: usize,
        e: [(usize1, usize1); n - 1],
    }
    let mut g = vec![vec![]; n];
    for (a, b) in e {
        g[a].push(b);
        g[b].push(a);
    }
    let mut topo = vec![0];
    for i in 0..n {
        let v = topo[i];
        for u in g[v].clone() {
            g[u].retain(|p| *p != v);
            topo.push(u);
        }
    }
    let mut dp = vec![(M::zero(), M::zero(), M::zero()); n];
    for &v in topo.iter().rev() {
        let mut val = (M::one(), M::zero(), M::zero());
        for &u in g[v].iter() {
            let (a, b, c) = dp[u];
            val = (val.0 * (b + c), val.0 * (a + b) + val.1 * (b + c), val.1 * (a + b) + val.2 * (b + c));
        }
        dp[v] = val;
    }
    let ans = dp[0].1 + dp[0].2;
    println!("{}", ans);
}

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 Rerooting ----------
pub trait RerootingOperator {
    type Value: Clone;
    type Edge: Clone;
    fn init(&mut self, v: usize) -> Self::Value;
    fn merge(&mut self, p: &Self::Value, c: &Self::Value, e: &Self::Edge) -> Self::Value;
}

pub struct Rerooting<R: RerootingOperator> {
    manager: R,
    size: usize,
    edge: Vec<(usize, usize, R::Edge, R::Edge)>,
}

impl<R: RerootingOperator> Rerooting<R> {
    pub fn new(size: usize, manager: R) -> Self {
        assert!(size > 0 && size < 10usize.pow(8));
        Rerooting {
            manager: manager,
            size: size,
            edge: vec![],
        }
    }
    pub fn add_edge(&mut self, a: usize, b: usize, cost: R::Edge) {
        assert!(a < self.size && b < self.size && a != b);
        self.add_edge_bi(a, b, cost.clone(), cost);
    }
    pub fn add_edge_bi(&mut self, a: usize, b: usize, ab: R::Edge, ba: R::Edge) {
        assert!(a < self.size && b < self.size && a != b);
        self.edge.push((a, b, ab, ba));
    }
    pub fn solve(&mut self) -> Vec<R::Value> {
        let size = self.size;
        let mut graph = vec![vec![]; size];
        for e in self.edge.iter() {
            graph[e.0].push((e.1, e.2.clone()));
            graph[e.1].push((e.0, e.3.clone()));
        }
        let root = 0;
        let mut topo = vec![root];
        let mut parent = vec![root; size];
        let mut parent_edge: Vec<Option<R::Edge>> = (0..size).map(|_| None).collect();
        for i in 0..size {
            let v = topo[i];
            let child = std::mem::take(&mut graph[v]);
            for e in child.iter() {
                let k = graph[e.0].iter().position(|e| e.0 == v).unwrap();
                let c = graph[e.0].remove(k).1;
                parent_edge[e.0] = Some(c);
                parent[e.0] = v;
                topo.push(e.0);
            }
            graph[v] = child;
        }
        let manager = &mut self.manager;
        let mut down: Vec<_> = (0..size).map(|v| manager.init(v)).collect();
        for &v in topo.iter().rev() {
            for e in graph[v].iter() {
                down[v] = manager.merge(&down[v], &down[e.0], &e.1);
            }
        }
        let mut up: Vec<_> = (0..size).map(|v| manager.init(v)).collect();
        let mut stack = vec![];
        for &v in topo.iter() {
            if let Some(e) = parent_edge[v].take() {
                let ini = manager.init(v);
                up[v] = manager.merge(&ini, &up[v], &e);
            }
            if !graph[v].is_empty() {
                stack.push((graph[v].as_slice(), up[v].clone()));
                while let Some((g, val)) = stack.pop() {
                    if g.len() == 1 {
                        up[g[0].0] = val;
                    } else {
                        let m = g.len() / 2;
                        let (a, b) = g.split_at(m);
                        for a in [(a, b), (b, a)].iter() {
                            let mut p = val.clone();
                            for a in a.0.iter() {
                                p = manager.merge(&p, &down[a.0], &a.1);
                            }
                            stack.push((a.1, p));
                        }
                    }
                }
            }
            for e in graph[v].iter() {
                up[v] = manager.merge(&up[v], &down[e.0], &e.1);
            }
        }
        up
    }
}
// ---------- end Rerooting ----------
// ---------- begin modint ----------
use std::marker::*;
use std::ops::*;

pub trait Modulo {
    fn modulo() -> u32;
}

pub struct ConstantModulo<const M: u32>;

impl<const M: u32> Modulo for ConstantModulo<{ M }> {
    fn modulo() -> u32 {
        M
    }
}

pub struct ModInt<T>(u32, PhantomData<T>);

impl<T> Clone for ModInt<T> {
    fn clone(&self) -> Self {
        Self::new_unchecked(self.0)
    }
}

impl<T> Copy for ModInt<T> {}

impl<T: Modulo> Add for ModInt<T> {
    type Output = ModInt<T>;
    fn add(self, rhs: Self) -> Self::Output {
        let mut v = self.0 + rhs.0;
        if v >= T::modulo() {
            v -= T::modulo();
        }
        Self::new_unchecked(v)
    }
}

impl<T: Modulo> AddAssign for ModInt<T> {
    fn add_assign(&mut self, rhs: Self) {
        *self = *self + rhs;
    }
}

impl<T: Modulo> Sub for ModInt<T> {
    type Output = ModInt<T>;
    fn sub(self, rhs: Self) -> Self::Output {
        let mut v = self.0 - rhs.0;
        if self.0 < rhs.0 {
            v += T::modulo();
        }
        Self::new_unchecked(v)
    }
}

impl<T: Modulo> SubAssign for ModInt<T> {
    fn sub_assign(&mut self, rhs: Self) {
        *self = *self - rhs;
    }
}

impl<T: Modulo> Mul for ModInt<T> {
    type Output = ModInt<T>;
    fn mul(self, rhs: Self) -> Self::Output {
        let v = self.0 as u64 * rhs.0 as u64 % T::modulo() as u64;
        Self::new_unchecked(v as u32)
    }
}

impl<T: Modulo> MulAssign for ModInt<T> {
    fn mul_assign(&mut self, rhs: Self) {
        *self = *self * rhs;
    }
}

impl<T: Modulo> Neg for ModInt<T> {
    type Output = ModInt<T>;
    fn neg(self) -> Self::Output {
        if self.is_zero() {
            Self::zero()
        } else {
            Self::new_unchecked(T::modulo() - self.0)
        }
    }
}

impl<T> std::fmt::Display for ModInt<T> {
    fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result {
        write!(f, "{}", self.0)
    }
}

impl<T> std::fmt::Debug for ModInt<T> {
    fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result {
        write!(f, "{}", self.0)
    }
}

impl<T> Default for ModInt<T> {
    fn default() -> Self {
        Self::zero()
    }
}

impl<T: Modulo> std::str::FromStr for ModInt<T> {
    type Err = std::num::ParseIntError;
    fn from_str(s: &str) -> Result<Self, Self::Err> {
        let val = s.parse::<u32>()?;
        Ok(ModInt::new(val))
    }
}

impl<T: Modulo> From<usize> for ModInt<T> {
    fn from(val: usize) -> ModInt<T> {
        ModInt::new_unchecked((val % T::modulo() as usize) as u32)
    }
}

impl<T: Modulo> From<u64> for ModInt<T> {
    fn from(val: u64) -> ModInt<T> {
        ModInt::new_unchecked((val % T::modulo() as u64) as u32)
    }
}

impl<T: Modulo> From<i64> for ModInt<T> {
    fn from(val: i64) -> ModInt<T> {
        let mut v = ((val % T::modulo() as i64) + T::modulo() as i64) as u32;
        if v >= T::modulo() {
            v -= T::modulo();
        }
        ModInt::new_unchecked(v)
    }
}

impl<T> ModInt<T> {
    pub fn new_unchecked(n: u32) -> Self {
        ModInt(n, PhantomData)
    }
    pub fn zero() -> Self {
        ModInt::new_unchecked(0)
    }
    pub fn one() -> Self {
        ModInt::new_unchecked(1)
    }
    pub fn is_zero(&self) -> bool {
        self.0 == 0
    }
}

impl<T: Modulo> ModInt<T> {
    pub fn new(d: u32) -> Self {
        ModInt::new_unchecked(d % T::modulo())
    }
    pub fn pow(&self, mut n: u64) -> Self {
        let mut t = Self::one();
        let mut s = *self;
        while n > 0 {
            if n & 1 == 1 {
                t *= s;
            }
            s *= s;
            n >>= 1;
        }
        t
    }
    pub fn inv(&self) -> Self {
        assert!(!self.is_zero());
        self.pow(T::modulo() as u64 - 2)
    }
    pub fn fact(n: usize) -> Self {
        (1..=n).fold(Self::one(), |s, a| s * Self::from(a))
    }
    pub fn perm(n: usize, k: usize) -> Self {
        if k > n {
            return Self::zero();
        }
        ((n - k + 1)..=n).fold(Self::one(), |s, a| s * Self::from(a))
    }
    pub fn binom(n: usize, k: usize) -> Self {
        if k > n {
            return Self::zero();
        }
        let k = k.min(n - k);
        let mut nu = Self::one();
        let mut de = Self::one();
        for i in 0..k {
            nu *= Self::from(n - i);
            de *= Self::from(i + 1);
        }
        nu * de.inv()
    }
}
// ---------- end modint ----------
// ---------- begin precalc ----------
pub struct Precalc<T> {
    fact: Vec<ModInt<T>>,
    ifact: Vec<ModInt<T>>,
    inv: Vec<ModInt<T>>,
}

impl<T: Modulo> Precalc<T> {
    pub fn new(n: usize) -> Precalc<T> {
        let mut inv = vec![ModInt::one(); n + 1];
        let mut fact = vec![ModInt::one(); n + 1];
        let mut ifact = vec![ModInt::one(); n + 1];
        for i in 2..=n {
            fact[i] = fact[i - 1] * ModInt::new_unchecked(i as u32);
        }
        ifact[n] = fact[n].inv();
        if n > 0 {
            inv[n] = ifact[n] * fact[n - 1];
        }
        for i in (1..n).rev() {
            ifact[i] = ifact[i + 1] * ModInt::new_unchecked((i + 1) as u32);
            inv[i] = ifact[i] * fact[i - 1];
        }
        Precalc { fact, ifact, inv }
    }
    pub fn inv(&self, n: usize) -> ModInt<T> {
        assert!(n > 0);
        self.inv[n]
    }
    pub fn fact(&self, n: usize) -> ModInt<T> {
        self.fact[n]
    }
    pub fn ifact(&self, n: usize) -> ModInt<T> {
        self.ifact[n]
    }
    pub fn perm(&self, n: usize, k: usize) -> ModInt<T> {
        if k > n {
            return ModInt::zero();
        }
        self.fact[n] * self.ifact[n - k]
    }
    pub fn binom(&self, n: usize, k: usize) -> ModInt<T> {
        if k > n {
            return ModInt::zero();
        }
        self.fact[n] * self.ifact[k] * self.ifact[n - k]
    }
}
// ---------- end precalc ----------

type M = ModInt<ConstantModulo<998_244_353>>;

yukicoder

結果

テストケース

コンパイルメッセージ

ソースコード