結果

問題 No.2754 Cumulate and Drop
ユーザー maguroflymagurofly
提出日時 2024-05-10 22:24:35
言語 Rust
(1.77.0 + proconio)
結果
AC  
実行時間 83 ms / 2,000 ms
コード長 17,543 bytes
コンパイル時間 21,996 ms
コンパイル使用メモリ 406,564 KB
実行使用メモリ 9,344 KB
最終ジャッジ日時 2024-05-10 22:24:59
合計ジャッジ時間 15,716 ms
ジャッジサーバーID
(参考情報)
judge4 / judge3
このコードへのチャレンジ
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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
6,940 KB
testcase_02 AC 1 ms
6,944 KB
testcase_03 AC 1 ms
6,940 KB
testcase_04 AC 1 ms
6,940 KB
testcase_05 AC 1 ms
6,944 KB
testcase_06 AC 1 ms
6,944 KB
testcase_07 AC 1 ms
6,940 KB
testcase_08 AC 18 ms
6,940 KB
testcase_09 AC 53 ms
6,940 KB
testcase_10 AC 66 ms
8,064 KB
testcase_11 AC 47 ms
6,944 KB
testcase_12 AC 83 ms
9,216 KB
testcase_13 AC 71 ms
8,576 KB
testcase_14 AC 75 ms
9,088 KB
testcase_15 AC 43 ms
6,944 KB
testcase_16 AC 13 ms
6,940 KB
testcase_17 AC 74 ms
9,340 KB
testcase_18 AC 77 ms
9,344 KB
testcase_19 AC 76 ms
9,344 KB
権限があれば一括ダウンロードができます
コンパイルメッセージ
warning: unused import: ``
 --> src/main.rs:4:18
  |
4 | use acl_modint::{*, ModInt998244353 as Mint};
  |                  ^
  |
  = note: `#[warn(unused_imports)]` on by default

warning: variable `N` should have a snake case name
 --> src/main.rs:8:9
  |
8 |         N: usize,
  |         ^ help: convert the identifier to snake case: `n`
  |
  = note: `#[warn(non_snake_case)]` on by default

warning: variable `A` should have a snake case name
 --> src/main.rs:9:9
  |
9 |         A: [Mint; N],
  |         ^ help: convert the identifier to snake case: `a`

ソースコード

diff #

pub use __cargo_equip::prelude::*;

use proconio::input_interactive;
use acl_modint::{*, ModInt998244353 as Mint};

fn main() {
	input_interactive! {
        N: usize,
        A: [Mint; N],
	}

    let mut fact = vec![Mint::from(1); N * 3];
    for i in 2 .. fact.len() {
        fact[i] = fact[i - 1] * i;
    }
    let mut fact_inv = vec![Mint::from(1); N * 3];
    fact_inv[fact.len() - 1] = fact[fact.len() - 1].inv();
    for i in (2 .. fact.len() - 1).rev() {
        fact_inv[i] = fact_inv[i + 1] * (i + 1);
    }

    let mut ans = Mint::from(0);
    for i in 0 .. N {
        let n = N - 1;
        let k = N - i - 1;
        let c = fact[n + k] / (fact[k] * fact[n]) * (n - k + 1) / (n + 1);
        // eprintln!("i={i}: c={c}");
        ans += c * A[i];
    }

    println!("{}", ans);
}
// The following code was expanded by `cargo-equip`.

///  # Bundled libraries
/// 
///  - `ac-library-rs-parted-internal-math 0.1.0 (path+████████████████████████████████████████████████████████████████████████████████)` published in https://github.com/qryxip/ac-library-rs-parted licensed under `CC0-1.0` as `crate::__cargo_equip::crates::__ac_library_rs_parted_internal_math_0_1_0`
///  - `ac-library-rs-parted-modint 0.1.0 (path+█████████████████████████████████████████████████████████████████████████)`               published in https://github.com/qryxip/ac-library-rs-parted licensed under `CC0-1.0` as `crate::__cargo_equip::crates::acl_modint`
#[cfg_attr(any(), rustfmt::skip)]
#[allow(unused)]
mod __cargo_equip {
    pub(crate) mod crates {
        pub mod __ac_library_rs_parted_internal_math_0_1_0 {pub use self::internal_math::*;mod internal_math{#![allow(dead_code)]use std::mem::swap;pub fn safe_mod(mut x:i64,m:i64)->i64{x%=m;if x<0{x+=m;}x}pub struct Barrett{pub _m:u32,pub im:u64,}impl Barrett{pub fn new(m:u32)->Barrett{Barrett{_m:m,im:(-1i64 as u64/m as u64).wrapping_add(1),}}pub fn umod(&self)->u32{self._m}#[allow(clippy::many_single_char_names)]pub fn mul(&self,a:u32,b:u32)->u32{mul_mod(a,b,self._m,self.im)}}#[allow(clippy::many_single_char_names)]pub fn mul_mod(a:u32,b:u32,m:u32,im:u64)->u32{let mut z=a as u64;z*=b as u64;let x=(((z as u128)*(im as u128))>>64)as u64;let mut v=z.wrapping_sub(x.wrapping_mul(m as u64))as u32;if m<=v{v=v.wrapping_add(m);}v}#[allow(clippy::many_single_char_names)]pub fn pow_mod(x:i64,mut n:i64,m:i32)->i64{if m==1{return 0;}let _m=m as u32;let mut r:u64=1;let mut y:u64=safe_mod(x,m as i64)as u64;while n!=0{if(n&1)>0{r=(r*y)%(_m as u64);}y=(y*y)%(_m as u64);n>>=1;}r as i64}pub fn is_prime(n:i32)->bool{let n=n as i64;match n{_ if n<=1=>return false,2|7|61=>return true,_ if n%2==0=>return false,_=>{}}let mut d=n-1;while d%2==0{d/=2;}for&a in&[2,7,61]{let mut t=d;let mut y=pow_mod(a,t,n as i32);while t!=n-1&&y!=1&&y!=n-1{y=y*y%n;t<<=1;}if y!=n-1&&t%2==0{return false;}}true}#[allow(clippy::many_single_char_names)]pub fn inv_gcd(a:i64,b:i64)->(i64,i64){let a=safe_mod(a,b);if a==0{return(b,0);}let mut s=b;let mut t=a;let mut m0=0;let mut m1=1;while t!=0{let u=s/t;s-=t*u;m0-=m1*u;swap(&mut s,&mut t);swap(&mut m0,&mut m1);}if m0<0{m0+=b/s;}(s,m0)}pub fn primitive_root(m:i32)->i32{match m{2=>return 1,167_772_161=>return 3,469_762_049=>return 3,754_974_721=>return 11,998_244_353=>return 3,_=>{}}let mut divs=[0;20];divs[0]=2;let mut cnt=1;let mut x=(m-1)/2;while x%2==0{x/=2;}for i in(3..std::i32::MAX).step_by(2){if i as i64*i as i64>x as i64{break;}if x%i==0{divs[cnt]=i;cnt+=1;while x%i==0{x/=i;}}}if x>1{divs[cnt]=x;cnt+=1;}let mut g=2;loop{if(0..cnt).all(|i|pow_mod(g,((m-1)/divs[i])as i64,m)!=1){break g as i32;}g+=1;}}}}
        pub mod acl_modint {use crate::__cargo_equip::preludes::acl_modint::*;use crate::__cargo_equip::crates::__ac_library_rs_parted_internal_math_0_1_0 as internal_math;pub use self::modint::*;mod modint{use crate::__cargo_equip::preludes::acl_modint::*;use super::internal_math;use std::{cell::RefCell,convert::{Infallible,TryInto as _},fmt,hash::{Hash,Hasher},iter::{Product,Sum},marker::PhantomData,ops::{Add,AddAssign,Div,DivAssign,Mul,MulAssign,Neg,Sub,SubAssign},str::FromStr,sync::atomic::{self,AtomicU32,AtomicU64},thread::LocalKey,};pub type ModInt1000000007=StaticModInt<Mod1000000007>;pub type ModInt998244353=StaticModInt<Mod998244353>;pub type ModInt=DynamicModInt<DefaultId>;#[derive(Copy,Clone,Eq,PartialEq)]#[repr(transparent)]pub struct StaticModInt<M>{val:u32,phantom:PhantomData<fn()->M>,}impl<M:Modulus>StaticModInt<M>{#[inline(always)]pub fn modulus()->u32{M::VALUE}#[inline]pub fn new<T:RemEuclidU32>(val:T)->Self{Self::raw(val.rem_euclid_u32(M::VALUE))}#[inline]pub fn raw(val:u32)->Self{Self{val,phantom:PhantomData,}}#[inline]pub fn val(self)->u32{self.val}#[inline]pub fn pow(self,n:u64)->Self{<Self as ModIntBase>::pow(self,n)}#[inline]pub fn inv(self)->Self{if M::HINT_VALUE_IS_PRIME{if self.val()==0{panic!("attempt to divide by zero");}debug_assert!(internal_math::is_prime(M::VALUE.try_into().unwrap()),"{} is not a prime number",M::VALUE,);self.pow((M::VALUE-2).into())}else{Self::inv_for_non_prime_modulus(self)}}}impl<M:Modulus>ModIntBase for StaticModInt<M>{#[inline(always)]fn modulus()->u32{Self::modulus()}#[inline]fn raw(val:u32)->Self{Self::raw(val)}#[inline]fn val(self)->u32{self.val()}#[inline]fn inv(self)->Self{self.inv()}}pub trait Modulus:'static+Copy+Eq{const VALUE:u32;const HINT_VALUE_IS_PRIME:bool;fn butterfly_cache()->&'static LocalKey<RefCell<Option<ButterflyCache<Self>>>>;}#[derive(Copy,Clone,Ord,PartialOrd,Eq,PartialEq,Hash,Debug)]pub enum Mod1000000007{}impl Modulus for Mod1000000007{const VALUE:u32=1_000_000_007;const HINT_VALUE_IS_PRIME:bool=true;fn butterfly_cache()->&'static LocalKey<RefCell<Option<ButterflyCache<Self>>>>{thread_local!{static BUTTERFLY_CACHE:RefCell<Option<ButterflyCache<Mod1000000007>>>=RefCell::default();}&BUTTERFLY_CACHE}}#[derive(Copy,Clone,Ord,PartialOrd,Eq,PartialEq,Hash,Debug)]pub enum Mod998244353{}impl Modulus for Mod998244353{const VALUE:u32=998_244_353;const HINT_VALUE_IS_PRIME:bool=true;fn butterfly_cache()->&'static LocalKey<RefCell<Option<ButterflyCache<Self>>>>{thread_local!{static BUTTERFLY_CACHE:RefCell<Option<ButterflyCache<Mod998244353>>>=RefCell::default();}&BUTTERFLY_CACHE}}pub struct ButterflyCache<M>{pub sum_e:Vec<StaticModInt<M>>,pub sum_ie:Vec<StaticModInt<M>>,}#[derive(Copy,Clone,Eq,PartialEq)]#[repr(transparent)]pub struct DynamicModInt<I>{val:u32,phantom:PhantomData<fn()->I>,}impl<I:Id>DynamicModInt<I>{#[inline]pub fn modulus()->u32{I::companion_barrett().umod()}#[inline]pub fn set_modulus(modulus:u32){if modulus==0{panic!("the modulus must not be 0");}I::companion_barrett().update(modulus);}#[inline]pub fn new<T:RemEuclidU32>(val:T)->Self{<Self as ModIntBase>::new(val)}#[inline]pub fn raw(val:u32)->Self{Self{val,phantom:PhantomData,}}#[inline]pub fn val(self)->u32{self.val}#[inline]pub fn pow(self,n:u64)->Self{<Self as ModIntBase>::pow(self,n)}#[inline]pub fn inv(self)->Self{Self::inv_for_non_prime_modulus(self)}}impl<I:Id>ModIntBase for DynamicModInt<I>{#[inline]fn modulus()->u32{Self::modulus()}#[inline]fn raw(val:u32)->Self{Self::raw(val)}#[inline]fn val(self)->u32{self.val()}#[inline]fn inv(self)->Self{self.inv()}}pub trait Id:'static+Copy+Eq{fn companion_barrett()->&'static Barrett;}#[derive(Copy,Clone,Ord,PartialOrd,Eq,PartialEq,Hash,Debug)]pub enum DefaultId{}impl Id for DefaultId{fn companion_barrett()->&'static Barrett{static BARRETT:Barrett=Barrett::default();&BARRETT}}pub struct Barrett{m:AtomicU32,im:AtomicU64,}impl Barrett{#[inline]pub const fn new(m:u32)->Self{Self{m:AtomicU32::new(m),im:AtomicU64::new((-1i64 as u64/m as u64).wrapping_add(1)),}}#[inline]const fn default()->Self{Self::new(998_244_353)}#[inline]fn update(&self,m:u32){let im=(-1i64 as u64/m as u64).wrapping_add(1);self.m.store(m,atomic::Ordering::SeqCst);self.im.store(im,atomic::Ordering::SeqCst);}#[inline]fn umod(&self)->u32{self.m.load(atomic::Ordering::SeqCst)}#[inline]fn mul(&self,a:u32,b:u32)->u32{let m=self.m.load(atomic::Ordering::SeqCst);let im=self.im.load(atomic::Ordering::SeqCst);internal_math::mul_mod(a,b,m,im)}}impl Default for Barrett{#[inline]fn default()->Self{Self::default()}}pub trait ModIntBase:Default+FromStr+From<i8>+From<i16>+From<i32>+From<i64>+From<i128>+From<isize>+From<u8>+From<u16>+From<u32>+From<u64>+From<u128>+From<usize>+Copy+Eq+Hash+fmt::Display+fmt::Debug+Neg<Output=Self>+Add<Output=Self>+Sub<Output=Self>+Mul<Output=Self>+Div<Output=Self>+AddAssign+SubAssign+MulAssign+DivAssign{fn modulus()->u32;fn raw(val:u32)->Self;fn val(self)->u32;fn inv(self)->Self;#[inline]fn new<T:RemEuclidU32>(val:T)->Self{Self::raw(val.rem_euclid_u32(Self::modulus()))}#[inline]fn pow(self,mut n:u64)->Self{let mut x=self;let mut r=Self::raw(1);while n>0{if n&1==1{r*=x;}x*=x;n>>=1;}r}}pub trait RemEuclidU32{fn rem_euclid_u32(self,modulus:u32)->u32;}macro_rules!impl_rem_euclid_u32_for_small_signed{($($ty:tt),*)=>{$(impl RemEuclidU32 for$ty{#[inline]fn rem_euclid_u32(self,modulus:u32)->u32{(self as i64).rem_euclid(i64::from(modulus))as _}})*}}impl_rem_euclid_u32_for_small_signed!(i8,i16,i32,i64,isize);impl RemEuclidU32 for i128{#[inline]fn rem_euclid_u32(self,modulus:u32)->u32{self.rem_euclid(i128::from(modulus))as _}}macro_rules!impl_rem_euclid_u32_for_small_unsigned{($($ty:tt),*)=>{$(impl RemEuclidU32 for$ty{#[inline]fn rem_euclid_u32(self,modulus:u32)->u32{self as u32%modulus}})*}}macro_rules!impl_rem_euclid_u32_for_large_unsigned{($($ty:tt),*)=>{$(impl RemEuclidU32 for$ty{#[inline]fn rem_euclid_u32(self,modulus:u32)->u32{(self%(modulus as$ty))as _}})*}}impl_rem_euclid_u32_for_small_unsigned!(u8,u16,u32);impl_rem_euclid_u32_for_large_unsigned!(u64,u128);#[cfg(target_pointer_width="32")]impl_rem_euclid_u32_for_small_unsigned!(usize);#[cfg(target_pointer_width="64")]impl_rem_euclid_u32_for_large_unsigned!(usize);trait InternalImplementations:ModIntBase{#[inline]fn inv_for_non_prime_modulus(this:Self)->Self{let(gcd,x)=internal_math::inv_gcd(this.val().into(),Self::modulus().into());if gcd!=1{panic!("the multiplicative inverse does not exist");}Self::new(x)}#[inline]fn default_impl()->Self{Self::raw(0)}#[inline]fn from_str_impl(s:&str)->Result<Self,Infallible>{Ok(s.parse::<i64>().map(Self::new).unwrap_or_else(|_|todo!("parsing as an arbitrary precision integer?")))}#[inline]fn hash_impl(this:&Self,state:&mut impl Hasher){this.val().hash(state)}#[inline]fn display_impl(this:&Self,f:&mut fmt::Formatter)->fmt::Result{fmt::Display::fmt(&this.val(),f)}#[inline]fn debug_impl(this:&Self,f:&mut fmt::Formatter)->fmt::Result{fmt::Debug::fmt(&this.val(),f)}#[inline]fn neg_impl(this:Self)->Self{Self::sub_impl(Self::raw(0),this)}#[inline]fn add_impl(lhs:Self,rhs:Self)->Self{let modulus=Self::modulus();let mut val=lhs.val()+rhs.val();if val>=modulus{val-=modulus;}Self::raw(val)}#[inline]fn sub_impl(lhs:Self,rhs:Self)->Self{let modulus=Self::modulus();let mut val=lhs.val().wrapping_sub(rhs.val());if val>=modulus{val=val.wrapping_add(modulus)}Self::raw(val)}fn mul_impl(lhs:Self,rhs:Self)->Self;#[inline]fn div_impl(lhs:Self,rhs:Self)->Self{Self::mul_impl(lhs,rhs.inv())}}impl<M:Modulus>InternalImplementations for StaticModInt<M>{#[inline]fn mul_impl(lhs:Self,rhs:Self)->Self{Self::raw((u64::from(lhs.val())*u64::from(rhs.val())%u64::from(M::VALUE))as u32)}}impl<I:Id>InternalImplementations for DynamicModInt<I>{#[inline]fn mul_impl(lhs:Self,rhs:Self)->Self{Self::raw(I::companion_barrett().mul(lhs.val,rhs.val))}}macro_rules!impl_basic_traits{()=>{};(impl<$generic_param:ident:$generic_param_bound:tt>_ for$self:ty;$($rest:tt)*)=>{impl<$generic_param:$generic_param_bound>Default for$self{#[inline]fn default()->Self{Self::default_impl()}}impl<$generic_param:$generic_param_bound>FromStr for$self{type Err=Infallible;#[inline]fn from_str(s:&str)->Result<Self,Infallible>{Self::from_str_impl(s)}}impl<$generic_param:$generic_param_bound,V:RemEuclidU32>From<V>for$self{#[inline]fn from(from:V)->Self{Self::new(from)}}#[allow(clippy::derive_hash_xor_eq)]impl<$generic_param:$generic_param_bound>Hash for$self{#[inline]fn hash<H:Hasher>(&self,state:&mut H){Self::hash_impl(self,state)}}impl<$generic_param:$generic_param_bound>fmt::Display for$self{#[inline]fn fmt(&self,f:&mut fmt::Formatter<'_>)->fmt::Result{Self::display_impl(self,f)}}impl<$generic_param:$generic_param_bound>fmt::Debug for$self{#[inline]fn fmt(&self,f:&mut fmt::Formatter<'_>)->fmt::Result{Self::debug_impl(self,f)}}impl<$generic_param:$generic_param_bound>Neg for$self{type Output=$self;#[inline]fn neg(self)->$self{Self::neg_impl(self)}}impl<$generic_param:$generic_param_bound>Neg for&'_$self{type Output=$self;#[inline]fn neg(self)->$self{<$self>::neg_impl(*self)}}impl_basic_traits!($($rest)*);};}impl_basic_traits!{impl<M:Modulus>_ for StaticModInt<M>;impl<I:Id>_ for DynamicModInt<I>;}macro_rules!impl_bin_ops{()=>{};(for<$($generic_param:ident:$generic_param_bound:tt),*><$lhs_ty:ty>~<$rhs_ty:ty>->$output:ty{{$lhs_body:expr}~{$rhs_body:expr}}$($rest:tt)*)=>{impl<$($generic_param:$generic_param_bound),*>Add<$rhs_ty>for$lhs_ty{type Output=$output;#[inline]fn add(self,rhs:$rhs_ty)->$output{<$output>::add_impl(apply($lhs_body,self),apply($rhs_body,rhs))}}impl<$($generic_param:$generic_param_bound),*>Sub<$rhs_ty>for$lhs_ty{type Output=$output;#[inline]fn sub(self,rhs:$rhs_ty)->$output{<$output>::sub_impl(apply($lhs_body,self),apply($rhs_body,rhs))}}impl<$($generic_param:$generic_param_bound),*>Mul<$rhs_ty>for$lhs_ty{type Output=$output;#[inline]fn mul(self,rhs:$rhs_ty)->$output{<$output>::mul_impl(apply($lhs_body,self),apply($rhs_body,rhs))}}impl<$($generic_param:$generic_param_bound),*>Div<$rhs_ty>for$lhs_ty{type Output=$output;#[inline]fn div(self,rhs:$rhs_ty)->$output{<$output>::div_impl(apply($lhs_body,self),apply($rhs_body,rhs))}}impl_bin_ops!($($rest)*);};}macro_rules!impl_assign_ops{()=>{};(for<$($generic_param:ident:$generic_param_bound:tt),*><$lhs_ty:ty>~=<$rhs_ty:ty>{_~={$rhs_body:expr}}$($rest:tt)*)=>{impl<$($generic_param:$generic_param_bound),*>AddAssign<$rhs_ty>for$lhs_ty{#[inline]fn add_assign(&mut self,rhs:$rhs_ty){*self=*self+apply($rhs_body,rhs);}}impl<$($generic_param:$generic_param_bound),*>SubAssign<$rhs_ty>for$lhs_ty{#[inline]fn sub_assign(&mut self,rhs:$rhs_ty){*self=*self-apply($rhs_body,rhs);}}impl<$($generic_param:$generic_param_bound),*>MulAssign<$rhs_ty>for$lhs_ty{#[inline]fn mul_assign(&mut self,rhs:$rhs_ty){*self=*self*apply($rhs_body,rhs);}}impl<$($generic_param:$generic_param_bound),*>DivAssign<$rhs_ty>for$lhs_ty{#[inline]fn div_assign(&mut self,rhs:$rhs_ty){*self=*self/apply($rhs_body,rhs);}}impl_assign_ops!($($rest)*);};}#[inline]fn apply<F:FnOnce(X)->O,X,O>(f:F,x:X)->O{f(x)}impl_bin_ops!{for<M:Modulus><StaticModInt<M> >~<StaticModInt<M> >->StaticModInt<M>{{|x|x}~{|x|x}}for<M:Modulus><StaticModInt<M> >~<&'_ StaticModInt<M> >->StaticModInt<M>{{|x|x}~{|&x|x}}for<M:Modulus><&'_ StaticModInt<M> >~<StaticModInt<M> >->StaticModInt<M>{{|&x|x}~{|x|x}}for<M:Modulus><&'_ StaticModInt<M> >~<&'_ StaticModInt<M> >->StaticModInt<M>{{|&x|x}~{|&x|x}}for<I:Id><DynamicModInt<I> >~<DynamicModInt<I> >->DynamicModInt<I>{{|x|x}~{|x|x}}for<I:Id><DynamicModInt<I> >~<&'_ DynamicModInt<I>>->DynamicModInt<I>{{|x|x}~{|&x|x}}for<I:Id><&'_ DynamicModInt<I>>~<DynamicModInt<I> >->DynamicModInt<I>{{|&x|x}~{|x|x}}for<I:Id><&'_ DynamicModInt<I>>~<&'_ DynamicModInt<I>>->DynamicModInt<I>{{|&x|x}~{|&x|x}}for<M:Modulus,T:RemEuclidU32><StaticModInt<M> >~<T>->StaticModInt<M>{{|x|x}~{StaticModInt::<M>::new}}for<I:Id,T:RemEuclidU32><DynamicModInt<I> >~<T>->DynamicModInt<I>{{|x|x}~{DynamicModInt::<I>::new}}}impl_assign_ops!{for<M:Modulus><StaticModInt<M> >~=<StaticModInt<M> >{_~={|x|x}}for<M:Modulus><StaticModInt<M> >~=<&'_ StaticModInt<M> >{_~={|&x|x}}for<I:Id><DynamicModInt<I>>~=<DynamicModInt<I> >{_~={|x|x}}for<I:Id><DynamicModInt<I>>~=<&'_ DynamicModInt<I>>{_~={|&x|x}}for<M:Modulus,T:RemEuclidU32><StaticModInt<M> >~=<T>{_~={StaticModInt::<M>::new}}for<I:Id,T:RemEuclidU32><DynamicModInt<I>>~=<T>{_~={DynamicModInt::<I>::new}}}macro_rules!impl_folding{()=>{};(impl<$generic_param:ident:$generic_param_bound:tt>$trait:ident<_>for$self:ty{fn$method:ident(_)->_{_($unit:expr,$op:expr)}}$($rest:tt)*)=>{impl<$generic_param:$generic_param_bound>$trait<Self>for$self{#[inline]fn$method<S>(iter:S)->Self where S:Iterator<Item=Self>,{iter.fold($unit,$op)}}impl<'a,$generic_param:$generic_param_bound>$trait<&'a Self>for$self{#[inline]fn$method<S>(iter:S)->Self where S:Iterator<Item=&'a Self>,{iter.fold($unit,$op)}}impl_folding!($($rest)*);};}impl_folding!{impl<M:Modulus>Sum<_>for StaticModInt<M>{fn sum(_)->_{_(Self::raw(0),Add::add)}}impl<M:Modulus>Product<_>for StaticModInt<M>{fn product(_)->_{_(Self::raw(1),Mul::mul)}}impl<I:Id>Sum<_>for DynamicModInt<I>{fn sum(_)->_{_(Self::raw(0),Add::add)}}impl<I:Id>Product<_>for DynamicModInt<I>{fn product(_)->_{_(Self::raw(1),Mul::mul)}}}}}
    }

    pub(crate) mod macros {
        pub mod __ac_library_rs_parted_internal_math_0_1_0 {}
        pub mod acl_modint {}
    }

    pub(crate) mod prelude {pub use crate::__cargo_equip::crates::*;}

    mod preludes {
        pub mod __ac_library_rs_parted_internal_math_0_1_0 {}
        pub mod acl_modint {pub(in crate::__cargo_equip)use crate::__cargo_equip::crates::__ac_library_rs_parted_internal_math_0_1_0 as __acl_internal_math;}
    }
}
0