結果

問題 No.2457 Stampaholic (Easy)
ユーザー koba-e964koba-e964
提出日時 2023-09-13 03:11:38
言語 Rust
(1.77.0 + proconio)
結果
AC  
実行時間 151 ms / 4,000 ms
コード長 4,308 bytes
コンパイル時間 11,746 ms
コンパイル使用メモリ 401,896 KB
実行使用メモリ 6,948 KB
最終ジャッジ日時 2024-06-30 13:42:19
合計ジャッジ時間 13,760 ms
ジャッジサーバーID
(参考情報)
judge5 / judge2
このコードへのチャレンジ
(要ログイン)

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
6,816 KB
testcase_01 AC 2 ms
6,812 KB
testcase_02 AC 17 ms
6,940 KB
testcase_03 AC 1 ms
6,940 KB
testcase_04 AC 1 ms
6,944 KB
testcase_05 AC 148 ms
6,940 KB
testcase_06 AC 12 ms
6,940 KB
testcase_07 AC 1 ms
6,948 KB
testcase_08 AC 17 ms
6,940 KB
testcase_09 AC 11 ms
6,944 KB
testcase_10 AC 26 ms
6,940 KB
testcase_11 AC 39 ms
6,940 KB
testcase_12 AC 57 ms
6,940 KB
testcase_13 AC 76 ms
6,940 KB
testcase_14 AC 122 ms
6,944 KB
testcase_15 AC 151 ms
6,948 KB
testcase_16 AC 151 ms
6,940 KB
testcase_17 AC 131 ms
6,944 KB
testcase_18 AC 11 ms
6,944 KB
testcase_19 AC 1 ms
6,944 KB
testcase_20 AC 1 ms
6,940 KB
testcase_21 AC 7 ms
6,944 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::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;
        }
    }
}

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> Default for ModInt<M> {
        fn default() -> Self { Self::new_internal(0) }
    }
    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)]
        pub 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>;

fn freq(l: i64, k: i64, x: i64) -> MInt {
    let ma = min(k, l - k + 1);
    if x <= 0 || x > ma {
        return 0.into();
    }
    if x == ma {
        return MInt::new((l - k + 1 - k).abs() + 1);
    }
    2.into()
}

fn main() {
    let h: i64 = get();
    let w: i64 = get();
    let n: i64 = get();
    let k: i64 = get();
    let factor = MInt::new((h - k + 1) * (w - k + 1)).inv();
    let mut tot = MInt::new(0);
    for i in 1..k + 1 {
        for j in 1..k + 1 {
            let p = factor * i * j;
            tot += (-(-p + 1).pow(n) + 1) * freq(h, k, i) * freq(w, k, j);
        }
    }
    println!("{}", tot);
}
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