// codesnip-guard: Decimal
#[cfg_attr(any(),rustfmt::skip)]pub use self::decimal::Decimal;#[cfg_attr(any(),rustfmt::skip)]pub mod decimal{use super::{One,Scan,ScanSource,Zero};use std::{cmp::Ordering,ops::Neg};pub mod addsub{use super::*;use std::{mem::replace,ops::{Add,AddAssign,Sub,SubAssign}};fn add_carry(carry:bool,lhs:u64,rhs:u64,out:&mut u64)->bool{let mut sum=lhs+rhs+carry as u64;let cond=sum>=RADIX;if cond{sum-=RADIX;}*out=sum;cond}fn add_absolute_parts(lhs:&mut Decimal,rhs:&Decimal){let mut carry=false;let lhs_decimal_len=lhs.decimal.len();if lhs_decimal_len<rhs.decimal.len(){for(l,r)in lhs.decimal.iter_mut().rev().zip(rhs.decimal[..lhs_decimal_len].iter().rev()){carry=add_carry(carry,*l,*r,l);}lhs.decimal.extend_from_slice(&rhs.decimal[lhs_decimal_len..]);}else{for(l,r)in lhs.decimal[..rhs.decimal.len()].iter_mut().rev().zip(rhs.decimal.iter().rev()){carry=add_carry(carry,*l,*r,l);}}let lhs_integer_len=lhs.integer.len();if lhs_integer_len<rhs.integer.len(){for(l,r)in lhs.integer.iter_mut().zip(&rhs.integer[..lhs_integer_len]){carry=add_carry(carry,*l,*r,l);}lhs.integer.extend_from_slice(&rhs.integer[lhs_integer_len..]);if carry{for l in lhs.integer[lhs_integer_len..].iter_mut(){carry=add_carry(carry,*l,0,l);if!carry{break;}}}}else{for(l,r)in lhs.integer.iter_mut().zip(&rhs.integer){carry=add_carry(carry,*l,*r,l);}if carry{for l in lhs.integer[rhs.integer.len()..].iter_mut(){carry=add_carry(carry,*l,0,l);if!carry{break;}}}}if carry{lhs.integer.push(carry as u64);}lhs.normalize();}fn sub_borrow(borrow:bool,lhs:u64,rhs:u64,out:&mut u64)->bool{let(sum,borrow1)=lhs.overflowing_sub(rhs);let(mut sum,borrow2)=sum.overflowing_sub(borrow as u64);let borrow=borrow1||borrow2;if borrow{sum=sum.wrapping_add(RADIX);}*out=sum;borrow}fn sub_absolute_parts_gte(lhs:&Decimal,rhs:&mut Decimal){debug_assert!(matches!(lhs.cmp_absolute_parts(rhs),Ordering::Greater));let mut borrow=false;let rhs_decimal_len=rhs.decimal.len();if lhs.decimal.len()>rhs_decimal_len{for(l,r)in lhs.decimal[..rhs_decimal_len].iter().rev().zip(rhs.decimal.iter_mut().rev()){borrow=sub_borrow(borrow,*l,*r,r);}rhs.decimal.extend_from_slice(&lhs.decimal[rhs_decimal_len..]);}else{for r in rhs.decimal[lhs.decimal.len()..].iter_mut().rev(){borrow=sub_borrow(borrow,0,*r,r);}for(l,r)in lhs.decimal.iter().rev().zip(rhs.decimal[..lhs.decimal.len()].iter_mut().rev()){borrow=sub_borrow(borrow,*l,*r,r);}}let rhs_integer_len=rhs.integer.len();if lhs.integer.len()>rhs_integer_len{for(l,r)in lhs.integer[..rhs_integer_len].iter().zip(rhs.integer.iter_mut()){borrow=sub_borrow(borrow,*l,*r,r);}rhs.integer.extend_from_slice(&lhs.integer[rhs_integer_len..]);if borrow{for r in rhs.integer[rhs_integer_len..].iter_mut(){borrow=sub_borrow(borrow,*r,0,r);if!borrow{break;}}}}else{debug_assert_eq!(lhs.integer.len(),rhs_integer_len);for(l,r)in lhs.integer.iter().zip(&mut rhs.integer){borrow=sub_borrow(borrow,*l,*r,r);}}assert!(!borrow,"Cannot subtract lhs from rhs because lhs is smaller than rhs");rhs.normalize();}macro_rules!add{($lhs:expr,$lhs_owned:expr,$rhs:expr,$rhs_owned:expr)=>{match($lhs.sign,$rhs.sign){(Sign::Zero,_)=>$rhs_owned,(_,Sign::Zero)=>$lhs_owned,(Sign::Plus,Sign::Plus)|(Sign::Minus,Sign::Minus)=>{let mut lhs=$lhs_owned;add_absolute_parts(&mut lhs,&$rhs);lhs}(Sign::Plus,Sign::Minus)|(Sign::Minus,Sign::Plus)=>{match$lhs.cmp_absolute_parts(&$rhs){Ordering::Less=>{let mut lhs=$lhs_owned;sub_absolute_parts_gte(&$rhs,&mut lhs);lhs.sign=$rhs.sign;lhs}Ordering::Equal=>ZERO,Ordering::Greater=>{let mut rhs=$rhs_owned;sub_absolute_parts_gte(&$lhs,&mut rhs);rhs.sign=$lhs.sign;rhs}}}}};}macro_rules!sub{($lhs:expr,$lhs_owned:expr,$rhs:expr,$rhs_owned:expr)=>{match($lhs.sign,$rhs.sign){(Sign::Zero,_)=>-$rhs_owned,(_,Sign::Zero)=>$lhs_owned,(Sign::Plus,Sign::Minus)|(Sign::Minus,Sign::Plus)=>{let mut lhs=$lhs_owned;add_absolute_parts(&mut lhs,&$rhs);lhs}(Sign::Plus,Sign::Plus)|(Sign::Minus,Sign::Minus)=>{match$lhs.cmp_absolute_parts(&$rhs){Ordering::Less=>{let mut lhs=$lhs_owned;sub_absolute_parts_gte(&$rhs,&mut lhs);lhs.sign=-$rhs.sign;lhs}Ordering::Equal=>ZERO,Ordering::Greater=>{let mut rhs=$rhs_owned;sub_absolute_parts_gte(&$lhs,&mut rhs);rhs}}}}};}macro_rules!impl_binop{(impl$Trait:ident for Decimal,$method:ident,$macro:ident)=>{impl$Trait<Decimal>for Decimal{type Output=Decimal;fn$method(self,rhs:Decimal)->Self::Output{$macro!(self,self,rhs,rhs)}}impl$Trait<&Decimal>for Decimal{type Output=Decimal;fn$method(self,rhs:&Decimal)->Self::Output{$macro!(self,self,rhs,rhs.clone())}}impl$Trait<Decimal>for&Decimal{type Output=Decimal;fn$method(self,rhs:Decimal)->Self::Output{$macro!(self,self.clone(),rhs,rhs)}}impl$Trait<&Decimal>for&Decimal{type Output=Decimal;fn$method(self,rhs:&Decimal)->Self::Output{$macro!(self,self.clone(),rhs,rhs.clone())}}};}impl_binop!(impl Add for Decimal,add,add);impl_binop!(impl Sub for Decimal,sub,sub);macro_rules!impl_binop_assign{(impl$Trait:ident for Decimal,$method:ident,$op:tt)=>{impl$Trait for Decimal{fn$method(&mut self,rhs:Decimal){let lhs=replace(self,ZERO);*self=lhs$op rhs;}}impl$Trait<&Decimal>for Decimal{fn$method(&mut self,rhs:&Decimal){let lhs=replace(self,ZERO);*self=lhs$op rhs;}}};}impl_binop_assign!(impl AddAssign for Decimal,add_assign,+);impl_binop_assign!(impl SubAssign for Decimal,sub_assign,-);}pub mod convert{use super::*;use std::{fmt::{self,Display},str::FromStr};#[derive(Debug,Clone,PartialEq,Eq)]pub struct ParseDecimalError{kind:DecimalErrorKind}impl ParseDecimalError{fn empty()->Self{Self{kind:DecimalErrorKind::Empty}}fn invalid_digit()->Self{Self{kind:DecimalErrorKind::InvalidDigit}}}#[derive(Debug,Clone,PartialEq,Eq)]enum DecimalErrorKind{Empty,InvalidDigit}impl Display for ParseDecimalError{fn fmt(&self,f:&mut fmt::Formatter<'_>)->fmt::Result{match self.kind{DecimalErrorKind::Empty=>write!(f,"empty string"),DecimalErrorKind::InvalidDigit=>write!(f,"invalid digit"),}}}impl FromStr for Decimal{type Err=ParseDecimalError;fn from_str(s:&str)->Result<Self,Self::Err>{if s.is_empty(){return Err(ParseDecimalError::empty());}let(s,sign)=if let Some(s)=s.strip_prefix('+'){(s,Sign::Plus)}else if let Some(s)=s.strip_prefix('-'){(s,Sign::Minus)}else{(s,Sign::Plus)};let(integer_str,decimal_str)=if let Some((integer_str,decimal_str))=s.split_once('.'){(integer_str,decimal_str)}else{(s,"")};if!integer_str.is_ascii()||!decimal_str.is_ascii(){return Err(ParseDecimalError::invalid_digit());}let integer_bytes=integer_str.trim_start_matches('0').as_bytes();let decimal_bytes=decimal_str.trim_end_matches('0').as_bytes();let mut integer=Vec::with_capacity(integer_bytes.len().div_ceil(RADIX_LEN));for chunk in integer_bytes.rchunks(18){let chunk=unsafe{std::str::from_utf8_unchecked(chunk)};match chunk.parse::<u64>(){Ok(val)=>integer.push(val),Err(_)=>return Err(ParseDecimalError::invalid_digit()),}}let mut decimal=Vec::with_capacity(decimal_bytes.len().div_ceil(RADIX_LEN));for chunk in decimal_bytes.chunks(18){let chunk=unsafe{std::str::from_utf8_unchecked(chunk)};match chunk.parse::<u64>(){Ok(val)=>decimal.push(val*POW10[RADIX_LEN-chunk.len()]),Err(_)=>return Err(ParseDecimalError::invalid_digit()),}}let sign=if integer.is_empty()&&decimal.is_empty(){Sign::Zero}else{sign};Ok(Decimal{sign,integer,decimal})}}impl Display for Decimal{fn fmt(&self,f:&mut fmt::Formatter<'_>)->fmt::Result{match self.sign{Sign::Minus=>write!(f,"-")?,Sign::Zero=>return write!(f,"0"),Sign::Plus=>{}}if let Some(last)=self.integer.last(){write!(f,"{}",last)?;for&val in self.integer.iter().rev().skip(1){write!(f,"{:018}",val)?;}}else{write!(f,"0")?;}if let Some(last)=self.decimal.last(){write!(f,".")?;for&val in self.decimal.iter().take(self.decimal.len()-1){write!(f,"{:018}",val)?;}let mut l=0;let mut r=RADIX_LEN;while r-l>1{let m=l.midpoint(r);if last%POW10[m]==0{l=m;}else{r=m;}}debug_assert!(last%POW10[l]==0);debug_assert!(r==RADIX_LEN||last%POW10[r]!=0);write!(f,"{:0width$}",last/POW10[l],width=RADIX_LEN-l)?;}Ok(())}}impl Scan for Decimal{type Output=Self;fn scan<I:ScanSource>(iter:&mut I)->Option<Self::Output>{iter.next_token()?.parse().ok()}}macro_rules!impl_from_unsigned{($base:ty;$($t:ty)*)=>{$(impl From<$t>for Decimal{fn from(val:$t)->Self{if val==0{return Decimal::zero();}let mut val=val as$base;let mut integer=Vec::new();while val>0{integer.push((val%RADIX as$base)as u64);val/=RADIX as$base;}Decimal{sign:Sign::Plus,integer,decimal:Vec::new(),}}})*};}impl_from_unsigned!(u64;u8 u16 u32 u64 usize);impl_from_unsigned!(u128;u128);macro_rules!impl_from_signed{($base:ty;$($t:ty)*)=>{$(impl From<$t>for Decimal{fn from(val:$t)->Self{let d=Decimal::from(val.unsigned_abs()as$base);if val.is_negative(){-d}else{d}}})*};}impl_from_signed!(u64;i8 i16 i32 i64 isize);impl_from_signed!(u128;i128);impl From<f32>for Decimal{fn from(value:f32)->Self{Self::from(f64::from(value))}}impl From<f64>for Decimal{#[doc=" Preserves the exact binary value. The input must be finite."]fn from(value:f64)->Self{assert!(value.is_finite());let bits=value.to_bits();let exponent=((bits>>52)&0x7ff)as i32;let mantissa=(bits&((1<<52)-1))|(u64::from(exponent!=0)<<52);let mut result=Self::from(mantissa);let mut exponent=exponent.max(1)-1075;while exponent>0{let shift=exponent.min(60);let mut carry=0u128;for digit in&mut result.integer{let value=((*digit as u128)<<shift)+carry;*digit=(value%RADIX as u128)as u64;carry=value/RADIX as u128;}while carry!=0{result.integer.push((carry%RADIX as u128)as u64);carry/=RADIX as u128;}exponent-=shift;}while exponent<0{let shift=(-exponent).min(60);let mask=(1u128<<shift)-1;let mut remainder=0u128;for digit in result.integer.iter_mut().rev().chain(&mut result.decimal){let value=remainder*RADIX as u128+*digit as u128;*digit=(value>>shift)as u64;remainder=value&mask;}while remainder!=0{let value=remainder*RADIX as u128;result.decimal.push((value>>shift)as u64);remainder=value&mask;}exponent+=shift;}if value.is_sign_negative(){result.sign=-result.sign;}result.normalize();result}}}#[derive(PartialEq,PartialOrd,Eq,Ord,Copy,Clone,Debug,Hash)]enum Sign{Minus,Zero,Plus}impl Neg for Sign{type Output=Self;fn neg(self)->Self::Output{match self{Sign::Minus=>Sign::Plus,Sign::Zero=>Sign::Zero,Sign::Plus=>Sign::Minus,}}}const ZERO:Decimal=Decimal{sign:Sign::Zero,integer:Vec::new(),decimal:Vec::new()};const POW10:[u64;RADIX_LEN+1]=[1,10,100,1_000,10_000,100_000,1_000_000,10_000_000,100_000_000,1_000_000_000,10_000_000_000,100_000_000_000,1_000_000_000_000,10_000_000_000_000,100_000_000_000_000,1_000_000_000_000_000,10_000_000_000_000_000,100_000_000_000_000_000,1_000_000_000_000_000_000];const RADIX:u64=POW10[RADIX_LEN];const RADIX_LEN:usize=18;#[derive(Clone,Debug,PartialEq,Eq,Hash)]pub struct Decimal{sign:Sign,integer:Vec<u64>,decimal:Vec<u64>}impl Default for Decimal{fn default()->Self{Decimal::zero()}}impl Zero for Decimal{fn zero()->Self{ZERO}fn is_zero(&self)->bool{self.sign==Sign::Zero}}impl One for Decimal{fn one()->Self{Decimal{sign:Sign::Plus,integer:vec![1],decimal:Vec::new()}}}impl PartialOrd for Decimal{fn partial_cmp(&self,other:&Self)->Option<Ordering>{Some(self.cmp(other))}}impl Ord for Decimal{fn cmp(&self,other:&Self)->Ordering{self.sign.cmp(&other.sign).then_with(| |match self.sign{Sign::Minus=>other.cmp_absolute_parts(self),Sign::Zero=>Ordering::Equal,Sign::Plus=>self.cmp_absolute_parts(other),})}}impl Neg for Decimal{type Output=Self;fn neg(self)->Self::Output{Self{sign:-self.sign,integer:self.integer,decimal:self.decimal}}}impl Decimal{fn cmp_absolute_parts(&self,other:&Self)->Ordering{self.integer.len().cmp(&other.integer.len()).then_with(| |self.integer.iter().rev().cmp(other.integer.iter().rev())).then_with(| |self.decimal.iter().cmp(other.decimal.iter()))}fn normalize(&mut self){if let Some(&0)=self.decimal.last(){let len=self.decimal.iter().rposition(|&d|d!=0).map_or(0,|i|i+1);self.decimal.truncate(len);}if self.decimal.len()<self.decimal.capacity()/4{self.decimal.shrink_to_fit();}if let Some(&0)=self.integer.last(){let len=self.integer.iter().rposition(|&d|d!=0).map_or(0,|i|i+1);self.integer.truncate(len);}if self.integer.len()<self.integer.capacity()/4{self.integer.shrink_to_fit();}if self.integer.is_empty()&&self.decimal.is_empty(){self.sign=Sign::Zero;}}}}
// codesnip-guard: array
#[cfg_attr(any(),rustfmt::skip)]mod array{#[macro_export]macro_rules!array{[@inner$data:ident=[$init:expr;$len:expr]]=>{{use::std::mem::{ManuallyDrop,MaybeUninit};let mut$data:[MaybeUninit<_>;$len]=unsafe{MaybeUninit::uninit().assume_init()};$init;#[repr(C)]union __Transmuter<const N:usize,T:Clone>{src:ManuallyDrop<[MaybeUninit<T>;N]>,dst:ManuallyDrop<[T;N]>,}ManuallyDrop::into_inner(unsafe{__Transmuter{src:ManuallyDrop::new($data)}.dst})}};[||$e:expr;$len:expr]=>{$crate::array![@inner data=[data.iter_mut().for_each(|item|*item=MaybeUninit::new($e));$len]]};[|$i:pat_param|$e:expr;$len:expr]=>{$crate::array![@inner data=[data.iter_mut().enumerate().for_each(|($i,item)|*item=MaybeUninit::new($e));$len]]};[$e:expr;$len:expr]=>{{let e=$e;$crate::array![||Clone::clone(&e);$len]}};}}
// codesnip-guard: scanner
#[cfg_attr(any(),rustfmt::skip)]pub use self::scanner::*;#[cfg_attr(any(),rustfmt::skip)]mod scanner{use std::{iter::{FromIterator,from_fn,repeat_with},marker::PhantomData};pub fn read_stdin_all()->String{use std::io::Read as _;let mut s=String::new();std::io::stdin().read_to_string(&mut s).expect("io error");s}pub fn read_stdin_all_unchecked()->String{use std::io::Read as _;let mut buf=Vec::new();std::io::stdin().read_to_end(&mut buf).expect("io error");unsafe{String::from_utf8_unchecked(buf)}}pub fn read_all(mut reader:impl std::io::Read)->String{let mut s=String::new();reader.read_to_string(&mut s).expect("io error");s}pub fn read_all_unchecked(mut reader:impl std::io::Read)->String{let mut buf=Vec::new();reader.read_to_end(&mut buf).expect("io error");unsafe{String::from_utf8_unchecked(buf)}}pub fn read_stdin_line()->String{let mut s=String::new();std::io::stdin().read_line(&mut s).expect("io error");s}pub trait Scan:Sized{type Output;fn scan<S:ScanSource>(source:&mut S)->Option<Self::Output>;fn scan_vec<S:ScanSource>(source:&mut S,size:usize,capacity:usize)->Vec<Self::Output>{let mut values=Vec::with_capacity(capacity.max(size));values.extend((0..size).map(|_|source.scan::<Self>()));values}}pub trait MarkedScan:Sized{type Output;fn mscan<S:ScanSource>(self,source:&mut S)->Option<Self::Output>;}pub trait ScanSource:Sized{#[doc=" Reads a token under the source's input requirements."]#[doc=" Checked sources return `None` at EOF; unchecked sources require available input."]fn next_token(&mut self)->Option<&str>;#[doc=" Skips separators without consuming the next token."]#[inline]fn skip_whitespace(&mut self){}#[inline]fn read_u8(&mut self)->Option<u8>{self.next_token()?.parse().ok()}#[inline]fn read_u16(&mut self)->Option<u16>{self.next_token()?.parse().ok()}#[inline]fn read_u32(&mut self)->Option<u32>{self.next_token()?.parse().ok()}fn read_u32_vec(&mut self,size:usize,capacity:usize)->Vec<u32>{let mut values=Vec::with_capacity(capacity.max(size));values.extend((0..size).map(|_|self.scan::<u32>()));values}#[inline]fn read_u64(&mut self)->Option<u64>{self.next_token()?.parse().ok()}#[inline]fn read_u128(&mut self)->Option<u128>{self.next_token()?.parse().ok()}#[inline]fn read_usize(&mut self)->Option<usize>{self.next_token()?.parse().ok()}#[inline]fn read_i8(&mut self)->Option<i8>{self.next_token()?.parse().ok()}#[inline]fn read_i16(&mut self)->Option<i16>{self.next_token()?.parse().ok()}#[inline]fn read_i32(&mut self)->Option<i32>{self.next_token()?.parse().ok()}#[inline]fn read_i64(&mut self)->Option<i64>{self.next_token()?.parse().ok()}#[inline]fn read_i128(&mut self)->Option<i128>{self.next_token()?.parse().ok()}#[inline]fn read_isize(&mut self)->Option<isize>{self.next_token()?.parse().ok()}#[doc=" Panics if reading fails."]#[inline]fn scan<T:Scan>(&mut self)->T::Output{T::scan(self).expect("scan error")}#[doc=" Panics if reading fails."]#[inline]fn mscan<T:MarkedScan>(&mut self,marker:T)->T::Output{marker.mscan(self).expect("scan error")}fn scan_vec<T:Scan>(&mut self,size:usize,capacity:usize)->Vec<T::Output>{if size==0{self.skip_whitespace();}T::scan_vec(self,size,capacity)}#[inline]fn iter<T:Scan>(&mut self)->ScannerIter<'_,Self,T>{ScannerIter{inner:self,_marker:PhantomData}}}#[derive(Clone,Debug)]pub struct Scanner<'a,I:Iterator<Item=&'a str>=std::str::SplitAsciiWhitespace<'a>>{iter:I}impl<'a>Scanner<'a>{pub fn new(s:&'a str)->Self{Self{iter:s.split_ascii_whitespace()}}}impl<'a,I:Iterator<Item=&'a str>>Scanner<'a,I>{pub fn new_from_iter(iter:I)->Self{Self{iter}}}impl<'a,I:Iterator<Item=&'a str>>ScanSource for Scanner<'a,I>{fn next_token(&mut self)->Option<&str>{self.iter.next()}}macro_rules!impl_scan{($($t:ty)*)=>{$(impl Scan for$t{type Output=Self;fn scan<I:ScanSource>(iter:&mut I)->Option<Self>{iter.next_token()?.parse::<$t>().ok()}})*};}impl_scan!(char f32 f64 String);macro_rules!impl_integer_scan{($($t:ty=>$read:ident),*$(,)?)=>{$(impl Scan for$t{type Output=Self;#[inline]fn scan<S:ScanSource>(source:&mut S)->Option<Self>{source.$read()}})*};}impl_integer_scan!(u8=>read_u8,u16=>read_u16,u64=>read_u64,u128=>read_u128,usize=>read_usize,i8=>read_i8,i16=>read_i16,i32=>read_i32,i64=>read_i64,i128=>read_i128,isize=>read_isize,);impl Scan for u32{type Output=Self;#[inline]fn scan<S:ScanSource>(source:&mut S)->Option<Self>{source.read_u32()}fn scan_vec<S:ScanSource>(source:&mut S,size:usize,capacity:usize)->Vec<Self>{source.read_u32_vec(size,capacity)}}macro_rules!impl_scan_tuple{(@impl$($T:ident)*)=>{impl<$($T:Scan),*>Scan for($($T,)*){type Output=($(<$T as Scan>::Output,)*);fn scan<It:ScanSource>(_iter:&mut It)->Option<Self::Output>{Some(($(<$T as Scan>::scan(_iter)?,)*))}}};(@inner$($T:ident)*,)=>{impl_scan_tuple!(@impl$($T)*);};(@inner$($T:ident)*,$U:ident$($Rest:ident)*)=>{impl_scan_tuple!(@impl$($T)*);impl_scan_tuple!(@inner$($T)*$U,$($Rest)*);};($($T:ident)*)=>{impl_scan_tuple!(@inner,$($T)*);};}impl_scan_tuple!(A B C D E F G H I J K);pub struct ScannerIter<'a,S,T>{inner:&'a mut S,_marker:PhantomData<fn()->T>}impl<S:ScanSource,T:Scan>Iterator for ScannerIter<'_,S,T>{type Item=T::Output;#[inline]fn next(&mut self)->Option<Self::Item>{T::scan(self.inner)}}#[doc=" scan a value with Scanner"]#[doc=""]#[doc=" - `scan_value!(scanner, ELEMENT)`"]#[doc=""]#[doc=" ELEMENT :="]#[doc=" - `$ty`: Scan"]#[doc=" - `&str`: borrowed token; the source stays borrowed until its last use"]#[doc=" - `@$expr`: MarkedScan"]#[doc=" - `$ty = $expr`: MarkedScan"]#[doc=" - `[ELEMENT; $expr]`: vector"]#[doc=" - `[$ty; $len; capacity $capacity]`: vector with reserved capacity"]#[doc=" - `[ELEMENT; const $expr]`: array"]#[doc=" - `[ELEMENT]`: iterator"]#[doc=" - `[ELEMENT; iter $expr]`: iterator of the specified length"]#[doc=" - `($(ELEMENT)*,)`: tuple"]#[macro_export]macro_rules!scan_value{(@repeat$scanner:expr,[$($t:tt)*]$len:expr)=>{{$crate::scan_value!(@iter$scanner,[$($t)*]$len).collect::<Vec<_>>()}};(@repeat$scanner:expr,[$($t:tt)*])=>{{::std::iter::repeat_with(||$crate::scan_value!(@inner$scanner,[]$($t)*))}};(@iter$scanner:expr,[$($t:tt)*]$len:expr)=>{{let size=$len;if size==0{$scanner.skip_whitespace();}$crate::scan_value!(@repeat$scanner,[$($t)*]).take(size)}};(@array$scanner:expr,[$($t:tt)*]$len:expr)=>{{if$len==0{$scanner.skip_whitespace();}$crate::array![||$crate::scan_value!(@inner$scanner,[]$($t)*);$len]}};(@tuple$scanner:expr,[$([$($args:tt)*])*])=>{($($($args)*,)*)};(@sparen$scanner:expr,[]@$e:expr;$($t:tt)*)=>{$crate::scan_value!(@sparen$scanner,[@$e]$($t)*)};(@sparen$scanner:expr,[]($($tt:tt)*);$($t:tt)*)=>{$crate::scan_value!(@sparen$scanner,[($($tt)*)]$($t)*)};(@sparen$scanner:expr,[][$($tt:tt)*];$($t:tt)*)=>{$crate::scan_value!(@sparen$scanner,[[$($tt)*]]$($t)*)};(@sparen$scanner:expr,[]$ty:ty=$e:expr;$($t:tt)*)=>{$crate::scan_value!(@sparen$scanner,[$ty=$e]$($t)*)};(@sparen$scanner:expr,[]$ty:ty;$($t:tt)*)=>{$crate::scan_value!(@sparen$scanner,[$ty]$($t)*)};(@sparen$scanner:expr,[]$($args:tt)*)=>{$crate::scan_value!(@repeat$scanner,[$($args)*])};(@sparen$scanner:expr,[$($args:tt)+]const$len:expr)=>{$crate::scan_value!(@array$scanner,[$($args)+]$len)};(@sparen$scanner:expr,[$($args:tt)+]iter$len:expr)=>{$crate::scan_value!(@iter$scanner,[$($args)+]$len)};(@sparen$scanner:expr,[$($args:tt)+]$len:expr;capacity$capacity:expr)=>{{let size=$len;let capacity=$capacity;$scanner.scan_vec::<$($args)+>(size,capacity)}};(@sparen$scanner:expr,[$($args:tt)+]$len:expr)=>{$crate::scan_value!(@repeat$scanner,[$($args)+]$len)};(@$tag:ident$scanner:expr,[[$($args:tt)*]])=>{$($args)*};(@$tag:ident$scanner:expr,[$($args:tt)*]@$e:expr$(,$($t:tt)*)?)=>{$crate::scan_value!(@$tag$scanner,[$($args)*[$scanner.mscan($e)]]$(,$($t)*)?)};(@$tag:ident$scanner:expr,[$($args:tt)*]($($tuple:tt)*)$($t:tt)*)=>{$crate::scan_value!(@$tag$scanner,[$($args)*[$crate::scan_value!(@tuple$scanner,[]$($tuple)*)]]$($t)*)};(@$tag:ident$scanner:expr,[$($args:tt)*][$($tt:tt)*]$($t:tt)*)=>{$crate::scan_value!(@$tag$scanner,[$($args)*[$crate::scan_value!(@sparen$scanner,[]$($tt)*)]]$($t)*)};(@$tag:ident$scanner:expr,[$($args:tt)*]&str$(,$($t:tt)*)?)=>{$crate::scan_value!(@$tag$scanner,[$($args)*[$scanner.next_token().expect("scan error")]]$(,$($t)*)?)};(@$tag:ident$scanner:expr,[$($args:tt)*]$ty:ty=$e:expr$(,$($t:tt)*)?)=>{$crate::scan_value!(@$tag$scanner,[$($args)*[{let _tmp:$ty=$scanner.mscan($e);_tmp}]]$(,$($t)*)?)};(@$tag:ident$scanner:expr,[$($args:tt)*]$ty:ty$(,$($t:tt)*)?)=>{$crate::scan_value!(@$tag$scanner,[$($args)*[$scanner.scan::<$ty>()]]$(,$($t)*)?)};(@$tag:ident$scanner:expr,[$($args:tt)*],$($t:tt)*)=>{$crate::scan_value!(@$tag$scanner,[$($args)*]$($t)*)};(@$tag:ident$scanner:expr,[$($args:tt)*])=>{::std::compile_error!(::std::stringify!($($args)*))};(src=$src:expr,$($t:tt)*)=>{{let mut __scanner=Scanner::new($src);$crate::scan_value!(@inner __scanner,[]$($t)*)}};(iter=$iter:expr,$($t:tt)*)=>{{let mut __scanner=Scanner::new_from_iter($iter);$crate::scan_value!(@inner __scanner,[]$($t)*)}};($scanner:expr,$($t:tt)*)=>{$crate::scan_value!(@inner$scanner,[]$($t)*)}}#[doc=" scan and bind values with Scanner"]#[doc=""]#[doc=" - `scan!(scanner, $($pat $(: ELEMENT)?),*)`"]#[macro_export]macro_rules!scan{(@assert$p:pat)=>{};(@assert$($p:tt)*)=>{::std::compile_error!(::std::concat!("expected pattern, found `",::std::stringify!($($p)*),"`"));};(@pat$scanner:expr,[][])=>{};(@pat$scanner:expr,[][],$($t:tt)*)=>{$crate::scan!(@pat$scanner,[][]$($t)*)};(@pat$scanner:expr,[$($p:tt)*][]$x:ident$($t:tt)*)=>{$crate::scan!(@pat$scanner,[$($p)*$x][]$($t)*)};(@pat$scanner:expr,[$($p:tt)*][]::$($t:tt)*)=>{$crate::scan!(@pat$scanner,[$($p)*::][]$($t)*)};(@pat$scanner:expr,[$($p:tt)*][]&$($t:tt)*)=>{$crate::scan!(@pat$scanner,[$($p)*&][]$($t)*)};(@pat$scanner:expr,[$($p:tt)*][]($($x:tt)*)$($t:tt)*)=>{$crate::scan!(@pat$scanner,[$($p)*($($x)*)][]$($t)*)};(@pat$scanner:expr,[$($p:tt)*][][$($x:tt)*]$($t:tt)*)=>{$crate::scan!(@pat$scanner,[$($p)*[$($x)*]][]$($t)*)};(@pat$scanner:expr,[$($p:tt)*][]{$($x:tt)*}$($t:tt)*)=>{$crate::scan!(@pat$scanner,[$($p)*{$($x)*}][]$($t)*)};(@pat$scanner:expr,[$($p:tt)*][]:$($t:tt)*)=>{$crate::scan!(@ty$scanner,[$($p)*][]$($t)*)};(@pat$scanner:expr,[$($p:tt)*][]$($t:tt)*)=>{$crate::scan!(@let$scanner,[$($p)*][usize]$($t)*)};(@ty$scanner:expr,[$($p:tt)*][$($tt:tt)*]@$e:expr$(,$($t:tt)*)?)=>{$crate::scan!(@let$scanner,[$($p)*][$($tt)*@$e]$(,$($t)*)?)};(@ty$scanner:expr,[$($p:tt)*][$($tt:tt)*]($($x:tt)*)$($t:tt)*)=>{$crate::scan!(@let$scanner,[$($p)*][$($tt)*($($x)*)]$($t)*)};(@ty$scanner:expr,[$($p:tt)*][$($tt:tt)*][$($x:tt)*]$($t:tt)*)=>{$crate::scan!(@let$scanner,[$($p)*][$($tt)*[$($x)*]]$($t)*)};(@ty$scanner:expr,[$($p:tt)*][$($tt:tt)*]&str$(,$($t:tt)*)?)=>{$crate::scan!(@let$scanner,[$($p)*][$($tt)*&str]$(,$($t)*)?)};(@ty$scanner:expr,[$($p:tt)*][$($tt:tt)*]$ty:ty=$e:expr$(,$($t:tt)*)?)=>{$crate::scan!(@let$scanner,[$($p)*][$($tt)*$ty=$e]$(,$($t)*)?)};(@ty$scanner:expr,[$($p:tt)*][$($tt:tt)*]$ty:ty$(,$($t:tt)*)?)=>{$crate::scan!(@let$scanner,[$($p)*][$($tt)*$ty]$(,$($t)*)?)};(@let$scanner:expr,[$($p:tt)*][$($tt:tt)*]$($t:tt)*)=>{$crate::scan!{@assert$($p)*}let$($p)* =$crate::scan_value!($scanner,$($tt)*);$crate::scan!(@pat$scanner,[][]$($t)*)};(src=$src:expr,$($t:tt)*)=>{let mut __scanner=Scanner::new($src);$crate::scan!(@pat __scanner,[][]$($t)*)};(iter=$iter:expr,$($t:tt)*)=>{let mut __scanner=Scanner::new_from_iter($iter);$crate::scan!(@pat __scanner,[][]$($t)*)};($scanner:expr,$($t:tt)*)=>{$crate::scan!(@pat$scanner,[][]$($t)*)}}#[doc=" define enum scan rules"]#[doc=""]#[doc=" # Example"]#[doc=" ```rust"]#[doc=" # use competitive::{define_enum_scan, tools::{CharsWithBase, Scan, ScanSource, Scanner, Usize1}};"]#[doc=" define_enum_scan! {"]#[doc="   enum Query: u8 {"]#[doc="     0 => Noop,"]#[doc="     1 => Args { i: Usize1, s: char },"]#[doc="     9 => Complex { n: usize, c: [(usize, Vec<usize> = CharsWithBase('a')); n] },"]#[doc="   }"]#[doc=" }"]#[doc=" ```"]#[macro_export]macro_rules!define_enum_scan{(@field_ty@repeat[$($t:tt)*]$($len:expr)?)=>{Vec<$crate::define_enum_scan!(@field_ty$($t)*)>};(@field_ty@array[$($t:tt)*]$len:expr)=>{[$crate::define_enum_scan!(@field_ty$($t)*);$len]};(@field_ty@tuple[$([$($args:tt)*])*])=>{($($($args)*,)*)};(@field_ty@sparen[]($($tt:tt)*);$($t:tt)*)=>{$crate::define_enum_scan!(@field_ty@sparen[($($tt)*)]$($t)*)};(@field_ty@sparen[][$($tt:tt)*];$($t:tt)*)=>{$crate::define_enum_scan!(@field_ty@sparen[[$($tt)*]]$($t)*)};(@field_ty@sparen[]$ty:ty=$e:expr;$($t:tt)*)=>{$crate::define_enum_scan!(@field_ty@sparen[$ty=$e]$($t)*)};(@field_ty@sparen[]$ty:ty;$($t:tt)*)=>{$crate::define_enum_scan!(@field_ty@sparen[$ty]$($t)*)};(@field_ty@sparen[]$($args:tt)*)=>{$crate::define_enum_scan!(@field_ty@repeat[$($args)*])};(@field_ty@sparen[$($args:tt)+]const$len:expr)=>{$crate::define_enum_scan!(@field_ty@array[$($args)+]$len)};(@field_ty@sparen[$($args:tt)+]$len:expr)=>{$crate::define_enum_scan!(@field_ty@repeat[$($args)+]$len)};(@field_ty@$tag:ident[$($args:tt)*]($($tuple:tt)*)$($t:tt)*)=>{$crate::define_enum_scan!(@field_ty@$tag[$($args)*[$crate::define_enum_scan!(@field_ty@tuple[]$($tuple)*)]]$($t)*)};(@field_ty@$tag:ident[$($args:tt)*][$($tt:tt)*]$($t:tt)*)=>{$crate::define_enum_scan!(@field_ty@$tag[$($args)*[$crate::define_enum_scan!(@field_ty@sparen[]$($tt)*)]]$($t)*)};(@field_ty@$tag:ident[$($args:tt)*]$ty:ty=$e:expr$(,$($t:tt)*)?)=>{$crate::define_enum_scan!(@field_ty@$tag[$($args)*[$ty]]$(,$($t)*)?)};(@field_ty@$tag:ident[$($args:tt)*]$ty:ty$(,$($t:tt)*)?)=>{$crate::define_enum_scan!(@field_ty@$tag[$($args)*[<$ty as Scan>::Output]]$(,$($t)*)?)};(@field_ty@$tag:ident[$($args:tt)*],$($t:tt)*)=>{$crate::define_enum_scan!(@field_ty@$tag[$($args)*]$($t)*)};(@field_ty@$tag:ident[[$($args:tt)*]])=>{$($args)*};(@field_ty@$tag:ident[$($args:tt)*])=>{::std::compile_error!(::std::stringify!($($args)*))};(@field_ty$($t:tt)*)=>{$crate::define_enum_scan!(@field_ty@inner[]$($t)*)};(@tag_expr raw,$iter:ident)=>{ScanSource::next_token($iter)?};(@tag_expr$d:ty,$iter:ident)=>{<$d as Scan>::scan($iter)?};(@variant([$($attr:tt)*]$vis:vis$T:ident$d:tt)[$($vars:tt)*])=>{$crate::define_enum_scan!{@def$($attr)*$vis enum$T:$d{$($vars)*}}};(@variant$ctx:tt[$($vars:tt)*]$p:pat=>$v:ident{$($fs:tt)*}$($rest:tt)*)=>{$crate::define_enum_scan!{@field$ctx[$($vars)*]$p=>$v[]$($fs)*;$($rest)*}};(@variant$ctx:tt[$($vars:tt)*]$p:pat=>$v:ident$($rest:tt)*)=>{$crate::define_enum_scan!{@variant$ctx[$($vars)*$p=>$v,]$($rest)*}};(@variant$ctx:tt[$($vars:tt)*],$($rest:tt)*)=>{$crate::define_enum_scan!{@variant$ctx[$($vars)*]$($rest)*}};(@endfield$ctx:tt[$($vars:tt)*]$p:pat=>$v:ident[$($fs:tt)*][$f:ident:$($spec:tt)*],$($rest:tt)*)=>{$crate::define_enum_scan!{@field$ctx[$($vars)*]$p=>$v[$($fs)*[$f:$($spec)*]]$($rest)*}};(@endfield$ctx:tt[$($vars:tt)*]$p:pat=>$v:ident[$($fs:tt)*][$f:ident:$($spec:tt)*];$($rest:tt)*)=>{$crate::define_enum_scan!{@variant$ctx[$($vars)*$p=>$v{$($fs)*[$f:$($spec)*]},]$($rest)*}};(@field$ctx:tt[$($vars:tt)*]$p:pat=>$v:ident[$($fs:tt)*];$($rest:tt)*)=>{$crate::define_enum_scan!{@variant$ctx[$($vars)*$p=>$v{$($fs)*},]$($rest)*}};(@field$ctx:tt[$($vars:tt)*]$p:pat=>$v:ident[$($fs:tt)*]$f:ident:($($tuple:tt)*)$sep:tt$($rest:tt)*)=>{$crate::define_enum_scan!{@endfield$ctx[$($vars)*]$p=>$v[$($fs)*][$f:($($tuple)*)]$sep$($rest)*}};(@field$ctx:tt[$($vars:tt)*]$p:pat=>$v:ident[$($fs:tt)*]$f:ident:[$($x:tt)*]$sep:tt$($rest:tt)*)=>{$crate::define_enum_scan!{@endfield$ctx[$($vars)*]$p=>$v[$($fs)*][$f:[$($x)*]]$sep$($rest)*}};(@field$ctx:tt[$($vars:tt)*]$p:pat=>$v:ident[$($fs:tt)*]$f:ident:$ty:ty=$e:expr,$($rest:tt)*)=>{$crate::define_enum_scan!{@endfield$ctx[$($vars)*]$p=>$v[$($fs)*][$f:$ty=$e],$($rest)*}};(@field$ctx:tt[$($vars:tt)*]$p:pat=>$v:ident[$($fs:tt)*]$f:ident:$ty:ty;$($rest:tt)*)=>{$crate::define_enum_scan!{@endfield$ctx[$($vars)*]$p=>$v[$($fs)*][$f:$ty];$($rest)*}};(@field$ctx:tt[$($vars:tt)*]$p:pat=>$v:ident[$($fs:tt)*]$f:ident:$ty:ty=$e:expr;$($rest:tt)*)=>{$crate::define_enum_scan!{@endfield$ctx[$($vars)*]$p=>$v[$($fs)*][$f:$ty=$e];$($rest)*}};(@field$ctx:tt[$($vars:tt)*]$p:pat=>$v:ident[$($fs:tt)*]$f:ident:$ty:ty,$($rest:tt)*)=>{$crate::define_enum_scan!{@endfield$ctx[$($vars)*]$p=>$v[$($fs)*][$f:$ty],$($rest)*}};(@def$(#[$attr:meta])*$vis:vis enum$T:ident:$d:tt{$($p:pat=>$v:ident$({$([$f:ident:$($spec:tt)*])*})?,)*})=>{$(#[$attr])*$vis enum$T{$($v$({$($f:$crate::define_enum_scan!(@field_ty$($spec)*)),*})?),*}impl Scan for$T{type Output=Self;fn scan<I:ScanSource>(iter:&mut I)->Option<Self>{let tag=$crate::define_enum_scan!(@tag_expr$d,iter);match tag{$($p=>{$($(let$f=$crate::scan_value!((*iter),$($spec)*);)*)?Some($T::$v$({$($f),*})?)}),*_=>None,}}}};($(#[$attr:meta])*$vis:vis enum$T:ident:raw{$($body:tt)*})=>{$crate::define_enum_scan!{@variant([$(#[$attr])*]$vis$T raw)[]$($body)*}};($(#[$attr:meta])*$vis:vis enum$T:ident:$d:ty{$($body:tt)*})=>{$crate::define_enum_scan!{@variant([$(#[$attr])*]$vis$T$d)[]$($body)*}};}#[derive(Debug,Copy,Clone)]pub enum Usize1{}impl Scan for Usize1{type Output=usize;fn scan<I:ScanSource>(iter:&mut I)->Option<Self::Output>{<usize as Scan>::scan(iter)?.checked_sub(1)}}#[derive(Debug,Copy,Clone)]pub struct CharWithBase(pub char);impl MarkedScan for CharWithBase{type Output=usize;fn mscan<I:ScanSource>(self,iter:&mut I)->Option<Self::Output>{Some((<char as Scan>::scan(iter)?as u8-self.0 as u8)as usize)}}#[derive(Debug,Copy,Clone)]pub enum Chars{}impl Scan for Chars{type Output=Vec<char>;fn scan<I:ScanSource>(iter:&mut I)->Option<Self::Output>{Some(iter.next_token()?.chars().collect())}}#[derive(Debug,Copy,Clone)]pub struct CharsWithBase(pub char);impl MarkedScan for CharsWithBase{type Output=Vec<usize>;fn mscan<I:ScanSource>(self,iter:&mut I)->Option<Self::Output>{Some(iter.next_token()?.chars().map(|c|(c as u8-self.0 as u8)as usize).collect())}}#[derive(Debug,Copy,Clone)]pub enum Byte1{}impl Scan for Byte1{type Output=u8;fn scan<I:ScanSource>(iter:&mut I)->Option<Self::Output>{let bytes=iter.next_token()?.as_bytes();assert_eq!(bytes.len(),1);Some(bytes[0])}}#[derive(Debug,Copy,Clone)]pub struct ByteWithBase(pub u8);impl MarkedScan for ByteWithBase{type Output=usize;fn mscan<I:ScanSource>(self,iter:&mut I)->Option<Self::Output>{Some((<char as Scan>::scan(iter)?as u8-self.0)as usize)}}#[derive(Debug,Copy,Clone)]pub enum Bytes{}impl Scan for Bytes{type Output=Vec<u8>;fn scan<I:ScanSource>(iter:&mut I)->Option<Self::Output>{Some(iter.next_token()?.bytes().collect())}}#[derive(Debug,Copy,Clone)]pub struct BytesWithBase(pub u8);impl MarkedScan for BytesWithBase{type Output=Vec<usize>;fn mscan<I:ScanSource>(self,iter:&mut I)->Option<Self::Output>{Some(iter.next_token()?.bytes().map(|c|(c-self.0)as usize).collect())}}#[derive(Debug,Copy,Clone)]pub struct Collect<T,B=Vec<<T as Scan>::Output>>where T:Scan,B:FromIterator<<T as Scan>::Output>{size:usize,_marker:PhantomData<fn()->(T,B)>}impl<T,B>Collect<T,B>where T:Scan,B:FromIterator<<T as Scan>::Output>{pub fn new(size:usize)->Self{Self{size,_marker:PhantomData}}}impl<T,B>MarkedScan for Collect<T,B>where T:Scan,B:FromIterator<<T as Scan>::Output>{type Output=B;fn mscan<I:ScanSource>(self,iter:&mut I)->Option<Self::Output>{if self.size==0{iter.skip_whitespace();}repeat_with(| |<T as Scan>::scan(iter)).take(self.size).collect()}}#[derive(Debug,Copy,Clone)]pub struct SizedCollect<T,B=Vec<<T as Scan>::Output>>where T:Scan,B:FromIterator<<T as Scan>::Output>{_marker:PhantomData<fn()->(T,B)>}impl<T,B>Scan for SizedCollect<T,B>where T:Scan,B:FromIterator<<T as Scan>::Output>{type Output=B;fn scan<I:ScanSource>(iter:&mut I)->Option<Self::Output>{let size=usize::scan(iter)?;if size==0{iter.skip_whitespace();}repeat_with(| |<T as Scan>::scan(iter)).take(size).collect()}}#[derive(Debug,Copy,Clone)]pub struct Splitted<T,P>where T:Scan{pat:P,_marker:PhantomData<fn()->T>}impl<T,P>Splitted<T,P>where T:Scan{pub fn new(pat:P)->Self{Self{pat,_marker:PhantomData}}}impl<T>MarkedScan for Splitted<T,char>where T:Scan{type Output=Vec<<T as Scan>::Output>;fn mscan<I:ScanSource>(self,iter:&mut I)->Option<Self::Output>{let mut iter=Scanner::new_from_iter(iter.next_token()?.split(self.pat));Some(from_fn(| |<T as Scan>::scan(&mut iter)).collect())}}impl<T>MarkedScan for Splitted<T,&str>where T:Scan{type Output=Vec<<T as Scan>::Output>;fn mscan<I:ScanSource>(self,iter:&mut I)->Option<Self::Output>{let mut iter=Scanner::new_from_iter(iter.next_token()?.split(self.pat));Some(from_fn(| |<T as Scan>::scan(&mut iter)).collect())}}impl<T,F>MarkedScan for F where F:Fn(&str)->Option<T>{type Output=T;fn mscan<I:ScanSource>(self,iter:&mut I)->Option<Self::Output>{self(iter.next_token()?)}}}
// codesnip-guard: zero_one
#[cfg_attr(any(),rustfmt::skip)]pub use self::zero_one::{One,Zero};#[cfg_attr(any(),rustfmt::skip)]mod zero_one{pub trait Zero:Sized{fn zero()->Self;#[inline]fn is_zero(&self)->bool where Self:PartialEq{self==&Self::zero()}#[inline]fn set_zero(&mut self){*self=Self::zero();}}pub trait One:Sized{fn one()->Self;#[inline]fn is_one(&self)->bool where Self:PartialEq{self==&Self::one()}#[inline]fn set_one(&mut self){*self=Self::one();}}macro_rules!impl_zero_one{($({$(<$T:ident:$Bound:ident>)?$Trait:ident$method:ident$($t:ty)*,$e:expr})*)=>{$(impl_zero_one!(@impl[$(<$T:$Bound>)?]$Trait$method[$($t)*],$e);)*};(@impl[<$T:ident:$Bound:ident>]$Trait:ident$method:ident[$($t:ty)*],$e:expr)=>{$(impl<$T:$Bound>$Trait for$t{fn$method()->Self{$e}})*};(@impl[]$Trait:ident$method:ident[$($t:ty)*],$e:expr)=>{$(impl$Trait for$t{fn$method()->Self{$e}})*};}impl_zero_one!({Zero zero u8 u16 u32 u64 usize i8 i16 i32 i64 isize u128 i128,0}{Zero zero f32 f64,0.}{One one u8 u16 u32 u64 usize i8 i16 i32 i64 isize u128 i128,1}{One one f32 f64,1.}{<T:Zero>Zero zero std::num::Wrapping<T>,Self(T::zero())}{<T:One>One one std::num::Wrapping<T>,Self(T::one())});}