結果

問題 No.1554 array_and_me
ユーザー akakimidoriakakimidori
提出日時 2021-06-18 22:41:28
言語 Rust
(1.77.0)
結果
AC  
実行時間 54 ms / 2,000 ms
コード長 9,225 bytes
コンパイル時間 1,266 ms
コンパイル使用メモリ 159,080 KB
実行使用メモリ 8,676 KB
最終ジャッジ日時 2023-09-04 23:50:48
合計ジャッジ時間 4,636 ms
ジャッジサーバーID
（参考情報） 		judge13 / judge11
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 1 ms
4,376 KB
testcase_01 AC 18 ms
4,376 KB
testcase_02 AC 18 ms
4,376 KB
testcase_03 AC 19 ms
4,376 KB
testcase_04 AC 19 ms
4,380 KB
testcase_05 AC 19 ms
4,376 KB
testcase_06 AC 53 ms
8,668 KB
testcase_07 AC 52 ms
8,592 KB
testcase_08 AC 54 ms
8,656 KB
testcase_09 AC 53 ms
8,676 KB
testcase_10 AC 54 ms
8,656 KB
testcase_11 AC 26 ms
7,244 KB
testcase_12 AC 26 ms
7,016 KB
testcase_13 AC 25 ms
7,220 KB
testcase_14 AC 25 ms
7,212 KB
testcase_15 AC 25 ms
7,100 KB
testcase_16 AC 6 ms
4,380 KB
testcase_17 AC 6 ms
4,376 KB
testcase_18 AC 6 ms
4,376 KB
testcase_19 AC 6 ms
4,376 KB
testcase_20 AC 6 ms
4,380 KB
testcase_21 AC 31 ms
4,376 KB
testcase_22 AC 32 ms
4,376 KB
testcase_23 AC 32 ms
4,376 KB
testcase_24 AC 31 ms
4,504 KB
testcase_25 AC 32 ms
4,376 KB
testcase_26 AC 40 ms
4,376 KB
testcase_27 AC 40 ms
4,376 KB
testcase_28 AC 39 ms
4,376 KB
testcase_29 AC 40 ms
4,380 KB
testcase_30 AC 40 ms
4,380 KB
testcase_31 AC 40 ms
4,380 KB
testcase_32 AC 39 ms
4,380 KB
testcase_33 AC 40 ms
4,376 KB
testcase_34 AC 39 ms
4,380 KB
testcase_35 AC 40 ms
4,380 KB
testcase_36 AC 38 ms
4,380 KB
testcase_37 AC 38 ms
4,376 KB
testcase_38 AC 38 ms
4,380 KB
testcase_39 AC 38 ms
4,380 KB
testcase_40 AC 38 ms
4,376 KB
testcase_41 AC 21 ms
4,380 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 # 

// ---------- begin ModInt ----------
mod modint {

    #[allow(dead_code)]
    pub struct Mod;
    impl ConstantModulo for Mod {
        const MOD: u32 = 998_244_353;
    }

    #[allow(dead_code)]
    pub struct StaticMod;
    static mut STATIC_MOD: u32 = 0;
    impl Modulo for StaticMod {
        fn modulo() -> u32 {
            unsafe { STATIC_MOD }
        }
    }

    #[allow(dead_code)]
    impl StaticMod {
        pub fn set_modulo(p: u32) {
            unsafe {
                STATIC_MOD = p;
            }
        }
    }

    use std::marker::*;
    use std::ops::*;

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

    pub trait ConstantModulo {
        const MOD: u32;
    }

    impl<T> Modulo for T
    where
        T: ConstantModulo,
    {
        fn modulo() -> u32 {
            T::MOD
        }
    }

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

    impl<T> Clone for ModInt<T> {
        fn clone(&self) -> Self {
            ModInt::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 d = self.0 + rhs.0;
            if d >= T::modulo() {
                d -= T::modulo();
            }
            ModInt::new_unchecked(d)
        }
    }

    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 d = T::modulo() + self.0 - rhs.0;
            if d >= T::modulo() {
                d -= T::modulo();
            }
            ModInt::new_unchecked(d)
        }
    }

    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;
            ModInt::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.0 == 0 {
                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: 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 m = T::modulo() as i64;
            ModInt::new((val % m + m) as u32)
        }
    }

    #[allow(dead_code)]
    impl<T> ModInt<T> {
        pub fn new_unchecked(d: u32) -> Self {
            ModInt(d, 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
        }
    }

    #[allow(dead_code)]
    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.0 != 0);
            self.pow(T::modulo() as u64 - 2)
        }
    }
}
// ---------- end ModInt ----------
// ---------- begin Precalc ----------
mod precalc {
    use super::modint::*;
    #[allow(dead_code)]
    pub struct Precalc<T> {
        inv: Vec<ModInt<T>>,
        fact: Vec<ModInt<T>>,
        ifact: Vec<ModInt<T>>,
    }
    #[allow(dead_code)]
    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 + 1) {
                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 {
                inv: inv,
                fact: fact,
                ifact: ifact,
            }
        }
        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 comb(&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 ----------

use modint::*;
type M = ModInt<Mod>;

// ---------- begin scannner ----------
#[allow(dead_code)]
mod scanner {
    use std::str::FromStr;
    pub struct Scanner<'a> {
        it: std::str::SplitWhitespace<'a>,
    }
    impl<'a> Scanner<'a> {
        pub fn new(s: &'a String) -> Scanner<'a> {
            Scanner {
                it: s.split_whitespace(),
            }
        }
        pub fn next<T: FromStr>(&mut self) -> T {
            self.it.next().unwrap().parse::<T>().ok().unwrap()
        }
        pub fn next_bytes(&mut self) -> Vec<u8> {
            self.it.next().unwrap().bytes().collect()
        }
        pub fn next_chars(&mut self) -> Vec<char> {
            self.it.next().unwrap().chars().collect()
        }
        pub fn next_vec<T: FromStr>(&mut self, len: usize) -> Vec<T> {
            (0..len).map(|_| self.next()).collect()
        }
    }
}
// ---------- end scannner ----------

use std::io::Write;

fn main() {
    use std::io::Read;
    let mut s = String::new();
    std::io::stdin().read_to_string(&mut s).unwrap();
    let mut sc = scanner::Scanner::new(&s);
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    run(&mut sc, &mut out);
}

// sum A_i = S
// p_i = A_i / S
// (1 + p_i / 1! * x + p_i^2 / 2! * x^2 + ...)

#[derive(Clone, Copy, Eq, PartialEq, Debug)]
struct Frac {
    nu: usize,
    de: usize,
}

use std::cmp::*;

impl Ord for Frac {
    fn cmp(&self, rhs: &Self) -> Ordering {
        (self.nu * rhs.de).cmp(&(self.de * rhs.nu))
    }
}

impl PartialOrd for Frac {
    fn partial_cmp(&self, rhs: &Self) -> Option<Ordering> {
        Some(self.cmp(rhs))
    }
}

impl Frac {
    fn new(nu: usize, de: usize) -> Self {
        Frac {
            nu,
            de,
        }
    }
}

fn run<W: Write>(sc: &mut scanner::Scanner, out: &mut std::io::BufWriter<W>) {
    let t: u32 = sc.next();
    for _ in 0..t {
        let n: usize = sc.next();
        let k: usize = sc.next();
        let a: Vec<usize> = sc.next_vec(n);
        let s = a.iter().sum::<usize>();
        let mut cnt = vec![0; n];
        let mut h = std::collections::BinaryHeap::new();
        for (i, a) in a.iter().enumerate() {
            h.push((Frac::new(*a, 1), i));
        }
        for _ in 0..k {
            let (_, k) = h.pop().unwrap();
            cnt[k] += 1;
            h.push((Frac::new(a[k], cnt[k] + 1), k));
        }
        let pc = precalc::Precalc::new(n + k);
        let mut ans = pc.fact(k);
        for i in 0..n {
            ans *= (M::from(a[i]) * M::from(s).inv()).pow(cnt[i] as u64) * pc.ifact(cnt[i]);
        }
        writeln!(out, "{}", ans).ok();
    }
}
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