結果

問題 No.2310 [Cherry 5th Tune A] Against Regret
ユーザー akakimidoriakakimidori
提出日時 2023-05-20 10:35:45
言語 Rust
(1.77.0)
結果
AC  
実行時間 283 ms / 6,000 ms
コード長 7,728 bytes
コンパイル時間 3,650 ms
コンパイル使用メモリ 153,600 KB
実行使用メモリ 41,172 KB
最終ジャッジ日時 2023-08-23 08:01:01
合計ジャッジ時間 13,376 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge11
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
4,944 KB
testcase_01 AC 1 ms
4,948 KB
testcase_02 AC 1 ms
4,944 KB
testcase_03 AC 2 ms
4,948 KB
testcase_04 AC 2 ms
4,948 KB
testcase_05 AC 2 ms
5,012 KB
testcase_06 AC 1 ms
4,944 KB
testcase_07 AC 1 ms
4,944 KB
testcase_08 AC 52 ms
5,668 KB
testcase_09 AC 71 ms
9,664 KB
testcase_10 AC 76 ms
11,508 KB
testcase_11 AC 90 ms
20,188 KB
testcase_12 AC 107 ms
18,312 KB
testcase_13 AC 44 ms
10,980 KB
testcase_14 AC 53 ms
11,704 KB
testcase_15 AC 99 ms
21,144 KB
testcase_16 AC 13 ms
5,012 KB
testcase_17 AC 58 ms
10,996 KB
testcase_18 AC 278 ms
41,172 KB
testcase_19 AC 278 ms
41,076 KB
testcase_20 AC 277 ms
41,072 KB
testcase_21 AC 275 ms
41,116 KB
testcase_22 AC 278 ms
41,084 KB
testcase_23 AC 277 ms
41,152 KB
testcase_24 AC 278 ms
41,140 KB
testcase_25 AC 283 ms
41,156 KB
testcase_26 AC 279 ms
41,084 KB
testcase_27 AC 276 ms
41,144 KB
testcase_28 AC 273 ms
41,152 KB
testcase_29 AC 195 ms
40,620 KB
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ソースコード

diff # 

use std::io::Write;

fn main() {
    let (x, ask) = read();
    let n = x.len();
    let mut memo = vec![];
    for src in 0..n {
        let mut dp = vec![M::zero(); n];
        dp[src] = M::one();
        for i in src..n {
            let v = dp[i];
            for (dp, x) in dp.iter_mut().zip(x[i].iter()) {
                *dp += v * *x;
            }
        }
        memo.push(dp);
    }
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    for mut e in ask {
        e.sort_by_key(|e| e.0);
        let mut dp = vec![M::zero(); e.len()];
        let mut ans = memo[0][n - 1];
        for (i, &(s, t, w)) in e.iter().enumerate() {
            let mut v = memo[0][s];
            for (j, &(_, r, _)) in e.iter().enumerate().take(i) {
                if r <= s {
                    v += memo[r][s] * dp[j];
                }
            }
            v *= w;
            dp[i] = v;
            ans += v * memo[t][n - 1];
        }
        writeln!(out, "{}", ans).ok();
    }
}

fn read() -> (Vec<Vec<M>>, Vec<Vec<(usize, usize, M)>>) {
    use std::io::*;
    let mut s = String::new();
    std::io::stdin().read_to_string(&mut s).unwrap();
    let mut it = s.trim().split_whitespace().flat_map(|s| s.parse::<usize>());
    let mut next = || it.next().unwrap();
    let n = next() + 1;
    let x = (0..n)
        .map(|_| (0..n).map(|_| M::from(next())).collect())
        .collect();
    let q = next();
    let ask = (0..q)
        .map(|_| {
            let k = next();
            (0..k)
                .map(|_| {
                    let a = next();
                    let b = next();
                    let c = M::from(next());
                    (a, b, c)
                })
                .collect()
        })
        .collect();
    (x, ask)
}

// ---------- 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>>;
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