結果

問題 No.1554 array_and_me
ユーザー koba-e964koba-e964
提出日時 2021-10-19 11:53:59
言語 Rust
(1.77.0)
結果
AC  
実行時間 60 ms / 2,000 ms
コード長 4,449 bytes
コンパイル時間 2,613 ms
コンパイル使用メモリ 170,484 KB
実行使用メモリ 5,956 KB
最終ジャッジ日時 2023-10-20 10:44:04
合計ジャッジ時間 3,601 ms
ジャッジサーバーID
（参考情報） 		judge15 / 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
4,348 KB
testcase_01 AC 24 ms
4,348 KB
testcase_02 AC 25 ms
4,348 KB
testcase_03 AC 23 ms
4,348 KB
testcase_04 AC 23 ms
4,348 KB
testcase_05 AC 24 ms
4,348 KB
testcase_06 AC 59 ms
5,956 KB
testcase_07 AC 59 ms
5,956 KB
testcase_08 AC 60 ms
5,956 KB
testcase_09 AC 60 ms
5,956 KB
testcase_10 AC 59 ms
5,956 KB
testcase_11 AC 15 ms
5,956 KB
testcase_12 AC 15 ms
5,956 KB
testcase_13 AC 15 ms
5,956 KB
testcase_14 AC 15 ms
5,956 KB
testcase_15 AC 16 ms
5,956 KB
testcase_16 AC 22 ms
4,348 KB
testcase_17 AC 20 ms
4,348 KB
testcase_18 AC 21 ms
4,348 KB
testcase_19 AC 21 ms
4,348 KB
testcase_20 AC 21 ms
4,348 KB
testcase_21 AC 36 ms
4,348 KB
testcase_22 AC 35 ms
4,348 KB
testcase_23 AC 36 ms
4,348 KB
testcase_24 AC 36 ms
4,348 KB
testcase_25 AC 36 ms
4,348 KB
testcase_26 AC 43 ms
4,348 KB
testcase_27 AC 43 ms
4,348 KB
testcase_28 AC 43 ms
4,348 KB
testcase_29 AC 43 ms
4,348 KB
testcase_30 AC 43 ms
4,348 KB
testcase_31 AC 43 ms
4,348 KB
testcase_32 AC 42 ms
4,348 KB
testcase_33 AC 42 ms
4,348 KB
testcase_34 AC 43 ms
4,348 KB
testcase_35 AC 43 ms
4,348 KB
testcase_36 AC 43 ms
4,348 KB
testcase_37 AC 43 ms
4,348 KB
testcase_38 AC 44 ms
4,348 KB
testcase_39 AC 43 ms
4,348 KB
testcase_40 AC 43 ms
4,348 KB
testcase_41 AC 31 ms
4,348 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 # 

use std::cmp::*;
use std::collections::*;
use std::io::Read;

fn get_word() -> String {
    let stdin = std::io::stdin();
    let mut stdin=stdin.lock();
    let mut u8b: [u8; 1] = [0];
    loop {
        let mut buf: Vec<u8> = Vec::with_capacity(16);
        loop {
            let res = stdin.read(&mut u8b);
            if res.unwrap_or(0) == 0 || u8b[0] <= b' ' {
                break;
            } else {
                buf.push(u8b[0]);
            }
        }
        if buf.len() >= 1 {
            let ret = String::from_utf8(buf).unwrap();
            return ret;
        }
    }
}

#[allow(dead_code)]
fn get<T: std::str::FromStr>() -> T { get_word().parse().ok().unwrap() }

/// Verified by https://atcoder.jp/contests/abc198/submissions/21774342
mod mod_int {
    use std::ops::*;
    pub trait Mod: Copy { fn m() -> i64; }
    #[derive(Copy, Clone, Hash, PartialEq, Eq, PartialOrd, Ord)]
    pub struct ModInt<M> { pub x: i64, phantom: ::std::marker::PhantomData<M> }
    impl<M: Mod> ModInt<M> {
        // x >= 0
        pub fn new(x: i64) -> Self { ModInt::new_internal(x % M::m()) }
        fn new_internal(x: i64) -> Self {
            ModInt { x: x, phantom: ::std::marker::PhantomData }
        }
        pub fn pow(self, mut e: i64) -> Self {
            debug_assert!(e >= 0);
            let mut sum = ModInt::new_internal(1);
            let mut cur = self;
            while e > 0 {
                if e % 2 != 0 { sum *= cur; }
                cur *= cur;
                e /= 2;
            }
            sum
        }
        #[allow(dead_code)]
        pub fn inv(self) -> Self { self.pow(M::m() - 2) }
    }
    impl<M: Mod, T: Into<ModInt<M>>> Add<T> for ModInt<M> {
        type Output = Self;
        fn add(self, other: T) -> Self {
            let other = other.into();
            let mut sum = self.x + other.x;
            if sum >= M::m() { sum -= M::m(); }
            ModInt::new_internal(sum)
        }
    }
    impl<M: Mod, T: Into<ModInt<M>>> Sub<T> for ModInt<M> {
        type Output = Self;
        fn sub(self, other: T) -> Self {
            let other = other.into();
            let mut sum = self.x - other.x;
            if sum < 0 { sum += M::m(); }
            ModInt::new_internal(sum)
        }
    }
    impl<M: Mod, T: Into<ModInt<M>>> Mul<T> for ModInt<M> {
        type Output = Self;
        fn mul(self, other: T) -> Self { ModInt::new(self.x * other.into().x % M::m()) }
    }
    impl<M: Mod, T: Into<ModInt<M>>> AddAssign<T> for ModInt<M> {
        fn add_assign(&mut self, other: T) { *self = *self + other; }
    }
    impl<M: Mod, T: Into<ModInt<M>>> SubAssign<T> for ModInt<M> {
        fn sub_assign(&mut self, other: T) { *self = *self - other; }
    }
    impl<M: Mod, T: Into<ModInt<M>>> MulAssign<T> for ModInt<M> {
        fn mul_assign(&mut self, other: T) { *self = *self * other; }
    }
    impl<M: Mod> Neg for ModInt<M> {
        type Output = Self;
        fn neg(self) -> Self { ModInt::new(0) - self }
    }
    impl<M> ::std::fmt::Display for ModInt<M> {
        fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result {
            self.x.fmt(f)
        }
    }
    impl<M: Mod> From<i64> for ModInt<M> {
        fn from(x: i64) -> Self { Self::new(x) }
    }
} // mod mod_int

macro_rules! define_mod {
    ($struct_name: ident, $modulo: expr) => {
        #[derive(Copy, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)]
        struct $struct_name {}
        impl mod_int::Mod for $struct_name { fn m() -> i64 { $modulo } }
    }
}
const MOD: i64 = 998_244_353;
define_mod!(P, MOD);
type MInt = mod_int::ModInt<P>;

const INF: i64 = 1_000_000_000_000_000;

fn solve(a: &[i64], k: i64) -> MInt {
    let n = a.len();
    let s: i64 = a.iter().sum();
    let sinv = MInt::new(s).inv();
    let mut que = BinaryHeap::new();
    let mut pmod = vec![MInt::new(0); n];
    for i in 0..n {
        let pr = INF * a[i];
        pmod[i] = MInt::new(a[i]) * sinv;
        que.push((pr, i, 1));
    }
    let mut ans = MInt::new(1);
    for i in 0..k {
        ans *= i + 1;
        let (_pr, idx, c) = que.pop().unwrap();
        ans *= pmod[idx] * MInt::new(c).inv();
        que.push((INF * a[idx] / (c + 1), idx, c + 1));
    }
    ans
}

fn main() {
    let t: usize = get();
    for _ in 0..t {
        let n: usize = get();
        let k = get();
        let a: Vec<i64> = (0..n).map(|_| get()).collect();
        println!("{}", solve(&a, k));
    }
}
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