#![allow(non_snake_case)] fn main(){ use proconio::marker::*; proconio::input!{ n:usize, m:usize, range:[(Usize1,usize);m], } type M=ModInt998244353; let mut item=vec![]; for &(a,b) in &range{ let r=rnd::next64(); item.push((a,r)); item.push((b,r)); } item.sort(); let mut map=std::collections::HashMap::::new(); let mut hash=0; let mut i=0; for &(ni,r) in &item{ *map.entry(hash).or_insert(0)+=ni-i; hash^=r; i=ni; } *map.entry(hash).or_insert(0)+=n-i; let mut ans=M::new(0); let k0=M::new(2).pow(m as u64); let k1=M::new(2).pow(m as u64-1); let k2=M::new(2).pow(m as u64-2); let fixed=map[&0]; ans+=k0*fixed*fixed; for (&hash,&size) in &map{ if hash!=0{ ans+=k0*size*fixed; ans+=k1*size*size; ans+=k2*size*(n-size-fixed); } } println!("{ans}"); } #[allow(unused)] mod rnd { static mut X2:u32=12345; static mut X3:u32=0xcafef00d; static mut C_X1:u64=0xd15ea5e5<<32|23456; pub fn next()->u32{ unsafe{ let x=X3 as u64*3487286589; let ret=(X3^X2)+(C_X1 as u32^(x>>32) as u32); X3=X2; X2=C_X1 as u32; C_X1=x+(C_X1>>32); ret } } pub fn next64()->u64{ (next() as u64)<<32|next() as u64 } } type ModInt998244353=ModInt<998244353>; #[derive(Clone,Copy,PartialEq,Eq,Default,Hash)] struct ModInt(u32); impl ModIntBase for ModInt{ fn modulus()->u32{ MOD } fn val(self)->u32{ self.0 } fn new(v:impl RemU32)->Self{ Self(v.rem_u32(MOD)) } fn inv(self)->Self{ assert!(self.0!=0); let (mut a,mut b)=(self.0 as i64,MOD as i64); let (mut u,mut v)=(1,0); while b!=0{ let t=a/b; (a,b)=(b,a-t*b); (u,v)=(v,u-t*v); } assert!(a==1); if u<0{ u+=MOD as i64; } Self(u as u32) } fn pow(self,mut k:u64)->Self{ let mut pow2=self; let mut ret=Self(1); while k>0{ if k&1==1{ ret*=pow2; } pow2*=pow2; k>>=1; } ret } } impl std::fmt::Display for ModInt{ fn fmt(&self,f:&mut std::fmt::Formatter)->std::fmt::Result{ write!(f,"{}",self.0) } } impl std::fmt::Debug for ModInt{ fn fmt(&self,f:&mut std::fmt::Formatter)->std::fmt::Result{ write!(f,"{}",self.0) } } impl std::ops::Add for ModInt{ type Output=Self; fn add(self,a:Self)->Self{ let mut new=self.0+a.0; if MOD<=new{ new-=MOD; } Self(new) } } impl std::ops::Sub for ModInt{ type Output=Self; fn sub(self,a:Self)->Self{ let mut new=self.0-a.0; if 0>new as i32{ new+=MOD; } Self(new) } } impl std::ops::Mul for ModInt{ type Output=Self; fn mul(self,a:Self)->Self{ Self((self.0 as u64*a.0 as u64%MOD as u64) as u32) } } impl std::ops::Div for ModInt{ type Output=Self; fn div(self,a:Self)->Self{ self*a.inv() } } impl std::ops::Neg for ModInt{ type Output=Self; fn neg(self)->Self{ if self.0==0{ return self; } Self(MOD-self.0) } } impl std::str::FromStr for ModInt{ type Err=::Err; fn from_str(s:&str)->Result{ let x=s.parse::()?; Ok(Self::new(x)) } } macro_rules! impl_modint_ops{ ($trait:ident,$func:ident,$assign_trait:ident,$assign_func:ident,$op:tt)=>{ impl std::ops::$assign_trait for ModInt{ fn $assign_func(&mut self,a:Self){ *self=*self $op a } } impl std::ops::$trait for ModInt{ type Output=Self; fn $func(self,a:T)->Self{ self $op Self::new(a) } } impl std::ops::$assign_trait for ModInt{ fn $assign_func(&mut self,a:T){ *self=*self $op Self::new(a) } } } } impl_modint_ops!(Add,add,AddAssign,add_assign,+); impl_modint_ops!(Sub,sub,SubAssign,sub_assign,-); impl_modint_ops!(Mul,mul,MulAssign,mul_assign,*); impl_modint_ops!(Div,div,DivAssign,div_assign,/); impl std::iter::Sum for ModInt{ fn sum>(iter:I)->Self{ iter.fold(Self(0),|sum,x|sum+x) } } impl std::iter::Product for ModInt{ fn product>(iter:I)->Self{ iter.fold(Self(1),|prod,x|prod*x) } } trait RemU32{ fn rem_u32(self,m:u32)->u32; } macro_rules! impl_rem_u32{ ($($ty:tt),*)=>{ $( impl RemU32 for $ty{ fn rem_u32(self,m:u32)->u32{ (self as i64).rem_euclid(m as i64) as _ } } )* } } impl_rem_u32!(i32,i64); macro_rules! impl_rem_u32{ ($($ty:tt),*)=>{ $( impl RemU32 for $ty{ fn rem_u32(self,m:u32)->u32{ (self%(m as $ty)) as _ } } )* } } impl_rem_u32!(u32,u64,usize); trait ModIntBase:Default+std::str::FromStr+Copy+Eq+std::hash::Hash+std::fmt::Display+std::fmt::Debug +std::ops::Neg+std::ops::Add+std::ops::Sub +std::ops::Mul+std::ops::Div +std::ops::AddAssign+std::ops::SubAssign+std::ops::MulAssign+std::ops::DivAssign { fn modulus()->u32; fn val(self)->u32; fn new(v:impl RemU32)->Self; fn inv(self)->Self; fn pow(self,k:u64)->Self; }