結果

問題 No.3040 Aoiスコア
ユーザー nebocco
提出日時 2025-03-14 10:50:42
言語 Rust
(1.83.0 + proconio)
結果
AC  
実行時間 3 ms / 1,000 ms
コード長 5,554 bytes
コンパイル時間 11,440 ms
コンパイル使用メモリ 400,352 KB
実行使用メモリ 7,844 KB
最終ジャッジ日時 2025-06-20 21:03:27
合計ジャッジ時間 12,688 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
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ファイルパターン 結果
sample AC * 3
other AC * 26
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ソースコード

diff # 

#![allow(dead_code, unused_imports, unused_macros, non_snake_case)]
use proconio::{
    input, input_interactive,
    marker::{Bytes, Chars, Usize1},
};

const MOD: i64 = 998_244_353;

fn main() {
    input! {
        n: usize, m : usize,
        s: Chars,
        edges: [(Usize1, Usize1); m],
    }

    let ntq = s.iter().filter(|&&c| c == '?').count() as i64;

    let mut g = UndirectedGraph::<()>::new(n);
    for (u, v) in edges {
        g.add_edge(u, v, ());
    }

    let mut ans = 0;
    let inv26 = modinv(26, MOD);

    for i in 0..n {
        if s[i] != '?' && s[i] != 'o' {
            continue;
        }

        let ca = g.edges_from(i).filter(|e| s[e.to] == 'a').count() as i64;
        let ci = g.edges_from(i).filter(|e| s[e.to] == 'i').count() as i64;
        let cq = g.edges_from(i).filter(|e| s[e.to] == '?').count() as i64;

        ans += (ca * ci + ca * cq * inv26 + ci * cq * inv26 + cq * (cq - 1) * inv26 % MOD * inv26)
            % MOD
            * modpow(26, ntq, MOD)
            % MOD
            * if s[i] == '?' { inv26 } else { 1 }
            % MOD;
    }

    println!("{}", ans % MOD);
}

pub fn modpow(mut x: i64, mut y: i64, modulo: i64) -> i64 {
    x %= modulo;
    if x == 0 {
        return 0;
    }
    let mut ret = 1;
    let mut cur = x;
    while y > 0 {
        if y & 1 > 0 {
            ret = ret * cur % modulo;
        }
        cur = cur * cur % modulo;
        y >>= 1;
    }
    ret
}

pub fn modinv(mut x: i64, modulo: i64) -> i64 {
    x = x.rem_euclid(modulo);
    extgcd(x, modulo).0.rem_euclid(modulo)
}

// return (x, y, gcd(a, b)) s.t. a * x + b * y = gcd(a, b)
pub fn extgcd(a: i64, b: i64) -> (i64, i64, i64) {
    let mut x1 = 1;
    let mut y1 = 0;
    let mut m = a;
    let mut x2 = 0;
    let mut y2 = 1;
    let mut n = b;
    while m % n != 0 {
        let q = m / n;
        x1 -= q * x2;
        y1 -= q * y2;
        m -= q * n;
        std::mem::swap(&mut x1, &mut x2);
        std::mem::swap(&mut y1, &mut y2);
        std::mem::swap(&mut m, &mut n);
    }
    (x2, y2, n)
}

// ------------ Graph impl start ------------

use std::ops::{Add, AddAssign, Neg, Sub};

pub trait Cost:
    Clone
    + Copy
    + std::fmt::Display
    + Eq
    + Ord
    + Add<Output = Self>
    + AddAssign
    + Sub<Output = Self>
    + Neg<Output = Self>
{
    const ZERO: Self;
    const MAX: Self;
}

#[derive(Copy, Clone)]
pub struct Edge<C = Void> {
    // pub from: usize,
    pub to: usize,
    pub cost: C,
    pub id: usize,
}

pub struct UndirectedGraph<C>(pub Vec<Vec<Edge<C>>>, pub usize);
pub struct DirectedGraph<C> {
    pub forward: Vec<Vec<Edge<C>>>,
    pub backward: Vec<Vec<Edge<C>>>,
    pub count: usize,
}

pub trait Graph<C> {
    fn new(size: usize) -> Self;
    fn size(&self) -> usize;
    fn add_edge(&mut self, u: usize, v: usize, cost: C);
    fn edges_from(&self, v: usize) -> std::slice::Iter<Edge<C>>;
}

impl<C: Clone> Graph<C> for UndirectedGraph<C> {
    fn new(size: usize) -> Self {
        Self(vec![Vec::<Edge<C>>::new(); size], 0)
    }

    fn size(&self) -> usize {
        self.0.len()
    }

    fn add_edge(&mut self, u: usize, v: usize, cost: C) {
        self.0[u].push(Edge {
            to: v,
            cost: cost.clone(),
            id: self.1,
        });
        self.0[v].push(Edge {
            to: u,
            cost,
            id: self.1,
        });
        self.1 += 1;
    }

    fn edges_from(&self, v: usize) -> std::slice::Iter<Edge<C>> {
        self.0[v].iter()
    }
}

impl<C: Clone> Graph<C> for DirectedGraph<C> {
    fn new(size: usize) -> Self {
        Self {
            forward: vec![Vec::<Edge<C>>::new(); size],
            backward: vec![Vec::<Edge<C>>::new(); size],
            count: 0,
        }
    }

    fn size(&self) -> usize {
        self.forward.len()
    }

    fn add_edge(&mut self, u: usize, v: usize, cost: C) {
        self.forward[u].push(Edge {
            to: v,
            cost: cost.clone(),
            id: self.count,
        });
        self.backward[v].push(Edge {
            to: u,
            cost,
            id: self.count,
        });
        self.count += 1;
    }

    fn edges_from(&self, v: usize) -> std::slice::Iter<Edge<C>> {
        self.forward[v].iter()
    }
}

impl<C: Clone> DirectedGraph<C> {
    pub fn edges_to(&self, u: usize) -> std::slice::Iter<Edge<C>> {
        self.backward[u].iter()
    }

    pub fn reverse(&self) -> Self {
        Self {
            forward: self.backward.clone(),
            backward: self.forward.clone(),
            count: self.count,
        }
    }
}

macro_rules! impl_cost {
    ($($T:ident,)*) => {
        $(
            impl Cost for $T {
                const ZERO: Self = 0;
                const MAX: Self = std::$T::MAX;
            }
        )*
    };
}

impl_cost! {
    i8, i16, i32, i64, i128, isize,
}

#[derive(Clone, Copy, PartialEq, Eq, PartialOrd, Ord)]
pub struct Void;

impl std::fmt::Display for Void {
    fn fmt(&self, f: &mut std::fmt::Formatter) -> std::fmt::Result {
        write!(f, "Void")
    }
}

impl Add for Void {
    type Output = Self;
    fn add(self, _: Self) -> Self {
        self
    }
}

impl AddAssign for Void {
    fn add_assign(&mut self, _: Self) {}
}

impl Sub for Void {
    type Output = Self;
    fn sub(self, _: Self) -> Self {
        self
    }
}

impl Neg for Void {
    type Output = Self;
    fn neg(self) -> Self {
        self
    }
}

impl Cost for Void {
    const ZERO: Self = Void;
    const MAX: Self = Void;
}

// ------------ Graph impl end ------------
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