結果
問題 | No.1310 量子アニーリング |
ユーザー |
![]() |
提出日時 | 2020-12-07 02:24:54 |
言語 | Rust (1.83.0 + proconio) |
結果 |
AC
|
実行時間 | 35 ms / 2,000 ms |
コード長 | 16,950 bytes |
コンパイル時間 | 12,962 ms |
コンパイル使用メモリ | 383,284 KB |
実行使用メモリ | 6,944 KB |
最終ジャッジ日時 | 2024-09-17 13:33:27 |
合計ジャッジ時間 | 14,172 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge4 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 21 |
ソースコード
#![allow(unused_imports, unused_macros)]use kyoproio::*;use std::{collections::*,io::{self, prelude::*},iter,mem::{replace, swap},};fn run<I: Input, O: Write>(mut kin: I, mut out: O) {let n: usize = kin.input();let f = Fact::<Mod998244353>::new(n - 1);let mut ans = mint(0);let mut bs = vec![mint(0); n + 1];for i in 0..=n - 1 {let b = f.binom(n - 1, i);let j = (i + (i & 1)) as isize;let k = (j - (n as isize - j)).abs() as usize;bs[k] += b;}let mut two = mint(1);for i in 0..bs.len() {ans += bs[i] * two;two = two + two;}ans *= mint(2);outln!(out, ans.get());}pub struct Fact<M>(Vec<ModInt<M>>);impl<M: Modulo> Fact<M> {pub fn new(n: usize) -> Self {let mut f = vec![ModInt::new(1); n + 1];for i in 2..=n {f[i] = ModInt::new(i as i32) * f[i - 1];}Self(f)}pub fn fact(&self, x: usize) -> ModInt<M> {self.0[x]}pub fn binom(&self, n: usize, k: usize) -> ModInt<M> {if n >= k {self.fact(n) / (self.fact(n - k) * self.fact(k))} else {ModInt::new(0)}}pub fn perm(&self, n: usize, k: usize) -> ModInt<M> {if n >= k {self.fact(n) / self.fact(n - k)} else {ModInt::new(0)}}}pub type Mint = ModInt<Mod998244353>;pub fn mint(x: i32) -> Mint {ModInt::new(x)}pub trait Modulo {fn modulo() -> i32;}macro_rules! modulo_impl {($($Type:ident $val:tt)*) => {$(pub struct $Type;impl Modulo for $Type {fn modulo() -> i32 {$val}})*};}modulo_impl!(Mod998244353 998244353 Mod1e9p7 1000000007);use std::sync::atomic;pub struct VarMod;static VAR_MOD: atomic::AtomicI32 = atomic::AtomicI32::new(0);pub fn set_var_mod(m: i32) {VAR_MOD.store(m, atomic::Ordering::Relaxed);}impl Modulo for VarMod {fn modulo() -> i32 {VAR_MOD.load(atomic::Ordering::Relaxed)}}use std::{fmt, marker::PhantomData, ops};pub struct ModInt<M>(i32, PhantomData<M>);impl<M: Modulo> ModInt<M> {pub fn new(x: i32) -> Self {debug_assert!(x < M::modulo());Self(x, PhantomData)}pub fn normalize(self) -> Self {if self.0 < M::modulo() && 0 <= self.0 {self} else {Self::new(self.0.rem_euclid(M::modulo()))}}pub fn get(self) -> i32 {self.0}pub fn inv(self) -> Self {self.pow(M::modulo() - 2)}pub fn half(self) -> Self {Self::new(self.0 / 2 + self.0 % 2 * ((M::modulo() + 1) / 2))}pub fn modulo() -> i32 {M::modulo()}}impl<M: Modulo> ops::Neg for ModInt<M> {type Output = Self;fn neg(self) -> Self {Self::new(if self.0 == 0 { 0 } else { M::modulo() - self.0 })}}impl<M: Modulo> ops::AddAssign for ModInt<M> {fn add_assign(&mut self, rhs: Self) {self.0 += rhs.0;if self.0 >= M::modulo() {self.0 -= M::modulo();}}}impl<M: Modulo> ops::SubAssign for ModInt<M> {fn sub_assign(&mut self, rhs: Self) {self.0 -= rhs.0;if self.0 < 0 {self.0 += M::modulo();}}}impl<M: Modulo> ops::MulAssign for ModInt<M> {fn mul_assign(&mut self, rhs: Self) {self.0 = (self.0 as u32 as u64 * rhs.0 as u32 as u64 % M::modulo() as u32 as u64) as i32;}}impl<M: Modulo> ops::DivAssign for ModInt<M> {fn div_assign(&mut self, rhs: Self) {assert_ne!(rhs.get(), 0);*self *= rhs.inv();}}macro_rules! op_impl {($($Op:ident $op:ident $OpAssign:ident $op_assign:ident)*) => {$(impl<M: Modulo> ops::$Op for ModInt<M> {type Output = Self;fn $op(self, rhs: Self) -> Self {let mut res = self;ops::$OpAssign::$op_assign(&mut res, rhs);res}}impl<M: Modulo> ops::$Op<&Self> for ModInt<M> {type Output = Self;fn $op(self, rhs: &Self) -> Self {self.$op(*rhs)}}impl<M: Modulo> ops::$Op<ModInt<M>> for &ModInt<M> {type Output = ModInt<M>;fn $op(self, rhs: ModInt<M>) -> ModInt<M> {(*self).$op(rhs)}}impl<M: Modulo> ops::$Op<&ModInt<M>> for &ModInt<M> {type Output = ModInt<M>;fn $op(self, rhs: &ModInt<M>) -> ModInt<M> {(*self).$op(*rhs)}}impl<M: Modulo> ops::$OpAssign<&ModInt<M>> for ModInt<M> {fn $op_assign(&mut self, rhs: &ModInt<M>) {self.$op_assign(*rhs);}})*};}op_impl! {Add add AddAssign add_assignSub sub SubAssign sub_assignMul mul MulAssign mul_assignDiv div DivAssign div_assign}impl<M: Modulo> std::iter::Sum for ModInt<M> {fn sum<I: Iterator<Item = Self>>(iter: I) -> Self {iter.fold(ModInt::new(0), |x, y| x + y)}}impl<M: Modulo> std::iter::Product for ModInt<M> {fn product<I: Iterator<Item = Self>>(iter: I) -> Self {iter.fold(ModInt::new(1), |x, y| x * y)}}pub trait Pow<T> {fn pow(self, n: T) -> Self;}impl<M: Modulo> Pow<u32> for ModInt<M> {fn pow(mut self, mut n: u32) -> Self {let mut y = Self::new(1);while n > 0 {if n % 2 == 1 {y *= self;}self *= self;n /= 2;}y}}macro_rules! mod_int_pow_impl {($($T:ident)*) => {$(impl<M: Modulo> Pow<$T> for ModInt<M> {fn pow(self, n: $T) -> Self {self.pow(n.rem_euclid(M::modulo() as $T - 1) as u32)}})*};}mod_int_pow_impl!(isize i32 i64 usize u64);macro_rules! mod_int_from_impl {($($T:ident)*) => {$(impl<M: Modulo> From<$T> for ModInt<M> {fn from(x: $T) -> Self {if M::modulo() <= $T::max_value() as i32 {Self::new(x.rem_euclid(M::modulo() as $T) as i32)} else {Self::new(x as i32).normalize()}}})*}}mod_int_from_impl!(isize i8 i16 i32 i64 i128 usize u8 u16 u32 u64 u128);impl<M> Copy for ModInt<M> {}impl<M> Clone for ModInt<M> {fn clone(&self) -> Self {*self}}impl<M: Modulo> Default for ModInt<M> {fn default() -> Self {Self::new(0)}}impl<M> std::cmp::PartialEq for ModInt<M> {fn eq(&self, other: &Self) -> bool {self.0 == other.0}}impl<M> std::cmp::Eq for ModInt<M> {}impl<M> std::cmp::PartialOrd for ModInt<M> {fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {self.0.partial_cmp(&other.0)}}impl<M> std::cmp::Ord for ModInt<M> {fn cmp(&self, other: &Self) -> std::cmp::Ordering {self.0.cmp(&other.0)}}impl<M> std::hash::Hash for ModInt<M> {fn hash<H: std::hash::Hasher>(&self, state: &mut H) {self.0.hash(state);}}impl<M> fmt::Display for ModInt<M> {fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {self.0.fmt(f)}}impl<M> fmt::Debug for ModInt<M> {fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {f.pad("ModInt(")?;self.0.fmt(f)?;f.pad(")")}}// -----------------------------------------------------------------------------fn main() -> io::Result<()> {std::thread::Builder::new().stack_size(64 * 1024 * 1024).spawn(|| {run(KInput::new(io::stdin().lock()),io::BufWriter::new(io::stdout().lock()),)})?.join().unwrap();Ok(())}// -----------------------------------------------------------------------------pub mod kyoproio {use std::{io::prelude::*,iter::FromIterator,marker::PhantomData,mem::{self, MaybeUninit},ptr, slice, str,};pub trait Input {fn bytes(&mut self) -> &[u8];fn str(&mut self) -> &str {str::from_utf8(self.bytes()).unwrap()}fn input<T: InputItem>(&mut self) -> T {T::input(self)}fn iter<T: InputItem>(&mut self) -> Iter<T, Self> {Iter(self, PhantomData)}fn seq<T: InputItem, B: FromIterator<T>>(&mut self, n: usize) -> B {self.iter().take(n).collect()}}pub struct KInput<R> {src: R,buf: Vec<u8>,pos: usize,len: usize,}impl<R: Read> KInput<R> {pub fn new(src: R) -> Self {Self {src,buf: vec![0; 1 << 16],pos: 0,len: 0,}}fn read(&mut self) -> usize {if self.pos > 0 {self.buf.copy_within(self.pos..self.len, 0);self.len -= self.pos;self.pos = 0;} else if self.len >= self.buf.len() {self.buf.resize(2 * self.buf.len(), 0);}let read = self.src.read(&mut self.buf[self.len..]).unwrap();self.len += read;read}}impl<R: Read> Input for KInput<R> {fn bytes(&mut self) -> &[u8] {loop {while let Some(d) = self.buf[self.pos..self.len].iter().position(u8::is_ascii_whitespace){let p = self.pos;self.pos += d + 1;if d > 0 {return &self.buf[p..p + d];}}if self.read() == 0 {return &self.buf[mem::replace(&mut self.pos, self.len)..self.len];}}}}pub struct Iter<'a, T, I: ?Sized>(&'a mut I, PhantomData<*const T>);impl<'a, T: InputItem, I: Input + ?Sized> Iterator for Iter<'a, T, I> {type Item = T;fn next(&mut self) -> Option<T> {Some(self.0.input())}fn size_hint(&self) -> (usize, Option<usize>) {(!0, None)}}pub trait InputItem: Sized {fn input<I: Input + ?Sized>(src: &mut I) -> Self;}impl InputItem for Vec<u8> {fn input<I: Input + ?Sized>(src: &mut I) -> Self {src.bytes().to_owned()}}macro_rules! from_str_impl {{ $($T:ty)* } => {$(impl InputItem for $T {fn input<I: Input + ?Sized>(src: &mut I) -> Self {src.str().parse::<$T>().unwrap()}})*}}from_str_impl! { String char bool f32 f64 }macro_rules! parse_int_impl {{ $($I:ty: $U:ty)* } => {$(impl InputItem for $I {fn input<I: Input + ?Sized>(src: &mut I) -> Self {let f = |s: &[u8]| s.iter().fold(0, |x, b| 10 * x + (b & 0xf) as $I);let s = src.bytes();if let Some((&b'-', t)) = s.split_first() { -f(t) } else { f(s) }}}impl InputItem for $U {fn input<I: Input + ?Sized>(src: &mut I) -> Self {src.bytes().iter().fold(0, |x, b| 10 * x + (b & 0xf) as $U)}})*};}parse_int_impl! { isize:usize i8:u8 i16:u16 i32:u32 i64:u64 i128:u128 }macro_rules! tuple_impl {($H:ident $($T:ident)*) => {impl<$H: InputItem, $($T: InputItem),*> InputItem for ($H, $($T),*) {fn input<I: Input + ?Sized>(src: &mut I) -> Self {($H::input(src), $($T::input(src)),*)}}tuple_impl!($($T)*);};() => {}}tuple_impl!(A B C D E F G);macro_rules! array_impl {{ $($N:literal)* } => {$(impl<T: InputItem> InputItem for [T; $N] {fn input<I: Input + ?Sized>(src: &mut I) -> Self {let mut arr = MaybeUninit::uninit();let ptr = arr.as_mut_ptr() as *mut T;unsafe {for i in 0..$N {ptr.add(i).write(src.input());}arr.assume_init()}}})*};}array_impl! { 1 2 3 4 5 6 7 8 }pub trait Output: Write + Sized {fn bytes(&mut self, buf: &[u8]) {self.write_all(buf).unwrap();}fn output<T: OutputItem>(&mut self, x: T) {x.output(self);}fn byte(&mut self, b: u8) {self.bytes(slice::from_ref(&b));}fn seq<T: OutputItem, I: IntoIterator<Item = T>>(&mut self, iter: I, delim: u8) {let mut iter = iter.into_iter();if let Some(x) = iter.next() {self.output(x);for x in iter {self.byte(delim);self.output(x);}}}fn flush_debug(&mut self) {if cfg!(debug_assertions) {self.flush().unwrap();}}}impl<W: Write + Sized> Output for W {}pub trait OutputItem {fn output<O: Output>(self, dest: &mut O);}impl OutputItem for &str {fn output<O: Output>(self, dest: &mut O) {dest.bytes(self.as_bytes());}}impl OutputItem for char {fn output<O: Output>(self, dest: &mut O) {self.encode_utf8(&mut [0u8; 4]).output(dest);}}impl OutputItem for () {fn output<O: Output>(self, _dest: &mut O) {}}macro_rules! output_int_impl {($conv:ident; $U:ty; $($T:ty)*) => {$(impl OutputItem for $T {fn output<O: Output>(self, dest: &mut O) {let mut buf = MaybeUninit::<[u8; 20]>::uninit();unsafe {let ptr = buf.as_mut_ptr() as *mut u8;let ofs = $conv(self as $U, ptr, 20);dest.bytes(slice::from_raw_parts(ptr.add(ofs), 20 - ofs));}}}impl OutputItem for &$T {fn output<O: Output>(self, dest: &mut O) {(*self).output(dest);}})*};}output_int_impl!(i64_to_bytes; i64; isize i8 i16 i32 i64);output_int_impl!(u64_to_bytes; u64; usize u8 u16 u32 u64);static DIGITS_LUT: &[u8; 200] = b"0001020304050607080910111213141516171819\2021222324252627282930313233343536373839\4041424344454647484950515253545556575859\6061626364656667686970717273747576777879\8081828384858687888990919293949596979899";unsafe fn i64_to_bytes(x: i64, buf: *mut u8, len: usize) -> usize {let (neg, x) = if x < 0 { (true, -x) } else { (false, x) };let mut i = u64_to_bytes(x as u64, buf, len);if neg {i -= 1;*buf.add(i) = b'-';}i}unsafe fn u64_to_bytes(mut x: u64, buf: *mut u8, len: usize) -> usize {let lut = DIGITS_LUT.as_ptr();let mut i = len;let mut two = |x| {i -= 2;ptr::copy_nonoverlapping(lut.add(2 * x), buf.add(i), 2);};while x >= 10000 {let rem = (x % 10000) as usize;two(rem % 100);two(rem / 100);x /= 10000;}let mut x = x as usize;if x >= 100 {two(x % 100);x /= 100;}if x >= 10 {two(x);} else {i -= 1;*buf.add(i) = x as u8 + b'0';}i}#[macro_export]macro_rules! out {($out:expr, $arg:expr) => {{$out.output($arg);}};($out:expr, $first:expr, $($rest:expr),*) => {{$out.output($first);$out.byte(b' ');out!($out, $($rest),*);}}}#[macro_export]macro_rules! outln {($out:expr) => {{$out.byte(b'\n');$out.flush_debug();}};($out:expr, $($args:expr),*) => {{out!($out, $($args),*);outln!($out);}}}#[macro_export]macro_rules! kdbg {($($v:expr),*) => {if cfg!(debug_assertions) { dbg!($($v),*) } else { ($($v),*) }}}}