結果
問題 | No.2936 Sum of Square of Mex |
ユーザー | koba-e964 |
提出日時 | 2024-10-22 13:37:46 |
言語 | Rust (1.77.0 + proconio) |
結果 |
WA
|
実行時間 | - |
コード長 | 6,116 bytes |
コンパイル時間 | 13,266 ms |
コンパイル使用メモリ | 402,392 KB |
実行使用メモリ | 6,824 KB |
最終ジャッジ日時 | 2024-10-22 13:38:01 |
合計ジャッジ時間 | 14,910 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge2 |
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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
6,816 KB |
testcase_01 | AC | 1 ms
6,816 KB |
testcase_02 | AC | 5 ms
6,820 KB |
testcase_03 | WA | - |
testcase_04 | AC | 1 ms
6,816 KB |
testcase_05 | AC | 2 ms
6,820 KB |
testcase_06 | AC | 1 ms
6,820 KB |
testcase_07 | WA | - |
testcase_08 | AC | 24 ms
6,820 KB |
testcase_09 | WA | - |
testcase_10 | AC | 15 ms
6,820 KB |
testcase_11 | WA | - |
testcase_12 | AC | 16 ms
6,816 KB |
testcase_13 | WA | - |
testcase_14 | WA | - |
testcase_15 | AC | 21 ms
6,816 KB |
testcase_16 | AC | 29 ms
6,816 KB |
testcase_17 | AC | 28 ms
6,816 KB |
testcase_18 | AC | 29 ms
6,820 KB |
testcase_19 | AC | 28 ms
6,820 KB |
testcase_20 | AC | 29 ms
6,820 KB |
testcase_21 | AC | 29 ms
6,816 KB |
testcase_22 | AC | 28 ms
6,820 KB |
testcase_23 | AC | 30 ms
6,816 KB |
testcase_24 | AC | 7 ms
6,820 KB |
testcase_25 | WA | - |
testcase_26 | AC | 28 ms
6,816 KB |
testcase_27 | AC | 29 ms
6,820 KB |
testcase_28 | AC | 29 ms
6,820 KB |
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/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> ::std::fmt::Debug for ModInt<M> { fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result { let (mut a, mut b, _) = red(self.x, M::m()); if b < 0 { a = -a; b = -b; } write!(f, "{}/{}", a, b) } } impl<M: Mod> From<i64> for ModInt<M> { fn from(x: i64) -> Self { Self::new(x) } } // Finds the simplest fraction x/y congruent to r mod p. // The return value (x, y, z) satisfies x = y * r + z * p. fn red(r: i64, p: i64) -> (i64, i64, i64) { if r.abs() <= 10000 { return (r, 1, 0); } let mut nxt_r = p % r; let mut q = p / r; if 2 * nxt_r >= r { nxt_r -= r; q += 1; } if 2 * nxt_r <= -r { nxt_r += r; q -= 1; } let (x, z, y) = red(nxt_r, r); (x, y - q * z, z) } } // 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>; // Depends on MInt.rs fn 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/2936 (4) // -> 0 <= x < N の場合と x = N の場合 (A が permutation) に分けたが WA。 // -> x = M + 1 の場合だけを特別扱いすべきであることに気づいた。 fn main() { let n: usize = get(); let m: i64 = get(); let (fac, invfac) = fact_init(n + 4); let mut tot = MInt::new(0); for i in 0..n + 1 { if i as i64 > m { continue; } let mut coef = fac[n + 3] * invfac[i + 3] * invfac[n - i] * (i + 1) as i64 * (i + 2) as i64; coef -= fac[n + 2] * invfac[i + 2] * invfac[n - i] * (i + 1) as i64 * 3; coef += fac[n + 1] * invfac[i + 1] * invfac[n - i]; let mut tmp = MInt::new(m - i as i64).pow(n as i64) * coef; if i % 2 == 1 { tmp = -tmp; } tot += tmp; } if n as i64 >= m + 1 { // Surj(n, m + 1) let mm = m as usize; for j in 0..mm + 2 { let mut tmp = fac[mm + 1] * invfac[j] * invfac[mm + 1 - j] * MInt::new(m + 1 - j as i64).pow(n as i64); if j % 2 == 1 { tmp = -tmp; } tot += tmp * MInt::new(m as i64 + 1).pow(2); } } println!("{}", tot); }