結果
問題 | No.1546 [Cherry 2nd Tune D] 思ったよりも易しくない |
ユーザー |
![]() |
提出日時 | 2021-06-11 22:09:01 |
言語 | Rust (1.83.0 + proconio) |
結果 |
AC
|
実行時間 | 244 ms / 2,000 ms |
コード長 | 12,326 bytes |
コンパイル時間 | 18,083 ms |
コンパイル使用メモリ | 379,112 KB |
実行使用メモリ | 15,344 KB |
最終ジャッジ日時 | 2024-12-14 23:59:43 |
合計ジャッジ時間 | 27,550 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge1 |
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ファイルパターン | 結果 |
---|---|
other | AC * 53 |
コンパイルメッセージ
warning: type alias `Mat` is never used --> src/main.rs:426:6 | 426 | type Mat = SquareMatrix<M>; | ^^^ | = note: `#[warn(dead_code)]` on by default
ソースコード
// ---------- 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 TwhereT: 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 Matrix ----------mod matrix {use std::ops::*;pub trait SemiRing: Add<Output = Self> + Mul<Output = Self> + Copy {fn zero() -> Self;fn one() -> Self;}pub trait Inverse: SemiRing {fn is_zero() -> bool;fn inv(self) -> Self;}#[derive(Clone)]pub struct SquareMatrix<R> {size: usize,buf: Box<[R]>,}#[allow(dead_code)]impl<R: SemiRing> SquareMatrix<R> {pub fn zero(size: usize) -> Self {SquareMatrix {size: size,buf: vec![R::zero(); size * size].into_boxed_slice(),}}pub fn identity(size: usize) -> Self {let mut e = Self::zero(size);for i in 0..size {e.buf[i * size + i] = R::one();}e}pub fn set_at(&mut self, x: usize, y: usize, val: R) {assert!(x < self.size && y < self.size);self.buf[x * self.size + y] = val;}pub fn get_at(&self, x: usize, y: usize) -> R {assert!(x < self.size && y < self.size);self.buf[x * self.size + y]}pub fn get_mut(&mut self, x: usize, y: usize) -> &mut R {assert!(x < self.size && y < self.size);&mut self.buf[x * self.size + y]}pub fn matadd(&self, rhs: &Self) -> Self {assert!(self.size == rhs.size);let buf: Vec<R> = self.buf.iter().zip(rhs.buf.iter()).map(|p| *p.0 + *p.1).collect();SquareMatrix {size: self.size,buf: buf.into_boxed_slice(),}}pub fn matmul(&self, rhs: &Self) -> Self {let size = self.size;assert!(size == rhs.size);let mut res = Self::zero(size);for (x, a) in res.buf.chunks_mut(size).zip(self.buf.chunks(size)) {for (a, b) in a.iter().zip(rhs.buf.chunks(size)) {for (x, b) in x.iter_mut().zip(b.iter()) {*x = *x + *a * *b;}}}res}pub fn mat_pow(&self, mut n: usize) -> Self {let size = self.size;let mut t = Self::identity(size);let mut s = self.clone();while n > 0 {if n & 1 == 1 {t = t.matmul(&s);}s = s.matmul(&s);n >>= 1;}t}}#[allow(dead_code)]impl<R: SemiRing + Sub<Output = R>> SquareMatrix<R> {pub fn matsub(&self, rhs: &Self) -> Self {assert!(self.size == rhs.size);let buf: Vec<R> = self.buf.iter().zip(rhs.buf.iter()).map(|p| *p.0 - *p.1).collect();SquareMatrix {size: self.size,buf: buf.into_boxed_slice(),}}}/*#[allow(dead_code)]impl<R: Inverse + Sub<Output = R>> SquareMatrix<R> {pub fn inverse(&self) -> Self {}}*/}// ---------- end Matrix ----------// ---------- begin input macro ----------// reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8macro_rules! input {(source = $s:expr, $($r:tt)*) => {let mut iter = $s.split_whitespace();input_inner!{iter, $($r)*}};($($r:tt)*) => {let s = {use std::io::Read;let mut s = String::new();std::io::stdin().read_to_string(&mut s).unwrap();s};let mut iter = s.split_whitespace();input_inner!{iter, $($r)*}};}macro_rules! input_inner {($iter:expr) => {};($iter:expr, ) => {};($iter:expr, $var:ident : $t:tt $($r:tt)*) => {let $var = read_value!($iter, $t);input_inner!{$iter $($r)*}};}macro_rules! read_value {($iter:expr, ( $($t:tt),* )) => {( $(read_value!($iter, $t)),* )};($iter:expr, [ $t:tt ; $len:expr ]) => {(0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()};($iter:expr, chars) => {read_value!($iter, String).chars().collect::<Vec<char>>()};($iter:expr, bytes) => {read_value!($iter, String).bytes().collect::<Vec<u8>>()};($iter:expr, usize1) => {read_value!($iter, usize) - 1};($iter:expr, $t:ty) => {$iter.next().unwrap().parse::<$t>().expect("Parse error")};}// ---------- end input macro ----------use matrix::*;impl SemiRing for M {fn zero() -> Self {M::zero()}fn one() -> Self {M::one()}}type Mat = SquareMatrix<M>;fn run() {input! {n: usize,p: [(u64, u64); n],}let mut l = M::zero();let mut r = p.iter().fold(M::zero(), |s, p| s + M::from(p.0));let mut ans = M::zero();for (t, v) in p {let t = M::from(t);let v = M::from(v);r -= t;let a = l;let b = l + M::one();let c = r + t + M::one();let mut add = M::zero();add += -(t * (t + M::one()) * M::new(2).inv()).pow(2);add += (c - a - b) * t * (t + M::one()) * (t + t + M::one()) * M::new(6).inv();add += (b * c + a * c - a * b) * t * (t + M::one()) * M::new(2).inv();add += a * b * c * t;ans += v * add * M::new(2).inv();l += t;}println!("{}", ans);}fn main() {run();}