結果
問題 | No.1886 Sum of Slide Max |
ユーザー |
|
提出日時 | 2023-06-12 11:09:28 |
言語 | Rust (1.83.0 + proconio) |
結果 |
AC
|
実行時間 | 254 ms / 2,000 ms |
コード長 | 4,741 bytes |
コンパイル時間 | 21,989 ms |
コンパイル使用メモリ | 375,980 KB |
実行使用メモリ | 5,376 KB |
最終ジャッジ日時 | 2024-06-11 14:06:03 |
合計ジャッジ時間 | 16,781 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 9 |
ソースコード
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/21774342mod 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 >= 0pub 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_intmacro_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>;// Depends on MInt.rsfn fact_init(w: usize) -> (Vec<MInt>, Vec<MInt>) {let mut fac = vec![MInt::new(1); w];let mut invfac = vec![0.into(); w];for i in 1..w {fac[i] = fac[i - 1] * i as i64;}invfac[w - 1] = fac[w - 1].inv();for i in (0..w - 1).rev() {invfac[i] = invfac[i + 1] * (i as i64 + 1);}(fac, invfac)}// https://yukicoder.me/problems/no/1886 (3)// f_K(P) の N-K+1 項のそれぞれの期待値を求めたい。// max <= i となる確率 x(i) は C(i, K)/C(N, K) である。// \sum i(x(i)-x(i-1)) = -(x(1) + ... + x(N-1)) + Nx(N) が成立し、これが求めたいものである。// x(1) + ... + x(N-1) = C(N, K+1)/C(N, K) である。fn main() {let n: usize = get();let (fac, invfac) = fact_init(n + 1);for k in 1..n + 1 {let tmp = if k < n {invfac[k + 1] * invfac[n - k - 1] * fac[k] * fac[n - k]} else {MInt::new(0)};let tmp = (MInt::new(n as i64) - tmp) * (n - k + 1) as i64;println!("{}", tmp * fac[n]);}}