#![allow(clippy::suspicious_arithmetic_impl)]
pub mod mylib {

use std::ops::{Add, AddAssign, Div, DivAssign, Mul, MulAssign, Sub, SubAssign};
use std::cmp::PartialEq;

pub trait ToModInt<MOD: ModNumber> {
	fn to_modint(self) -> ModInt<MOD>;
}

pub trait ModNumber : Clone + Copy {
	type ModType: Clone + Copy;
	fn modv() -> u32;
	fn from_bi(x: i64) -> ModInt<Self>;
	fn from_bu(x: u64) -> ModInt<Self>;
	fn from_si(x: i32) -> ModInt<Self>;
	fn from_su(x: u32) -> ModInt<Self>;
	fn direct(x: u32) -> ModInt<Self>;
}
macro_rules! from_bu_prim_to_modint {
	($($im:ty),*) => ($(
		#[inline]
		fn from_bu(x: u64) -> ModInt<$im> {
			let m = <$im>::modv() as u64;
			ModInt::<$im>((x % m) as u32)
		}
	)*)
}
macro_rules! from_bi_prim_to_modint {
	($($im:ty),*) => ($(
		#[inline]
		fn from_bi(i: i64) -> ModInt<$im> {
			let m = <$im>::modv() as i64;
			let mut i = i % m;
			if i < 0 {i += m;}
			ModInt::<$im>((i % m) as u32)
		}
	)*)
}
macro_rules! from_su_prim_to_modint {
	($($im:ty),*) => ($(
		#[inline]
		fn from_su(x: u32) -> ModInt<$im> {
			ModInt::<$im>(x % <$im>::modv())
		}
	)*)
}
macro_rules! from_si_prim_to_modint {
	($($im:ty),*) => ($(
		#[inline]
		fn from_si(x: i32) -> ModInt<$im> {
			let m = <$im>::modv() as i32;
			let mut x = x % m;
			if x < 0 {x += m;}
			ModInt::<$im>(x as u32)
		}
	)*)
}
macro_rules! impl_modint {
	($($im:ty,$fm:block);*) => ($(
		impl ModNumber for $im {
 			type ModType = u32;
			#[inline]
			fn modv() -> u32 $fm
			from_si_prim_to_modint!($im);
			from_su_prim_to_modint!($im);
			from_bi_prim_to_modint!($im);
			from_bu_prim_to_modint!($im);
			#[inline]
			fn direct(x: u32) -> ModInt<$im> {
				ModInt::<$im>(x)
			}
		}
	)*)
}
impl_modint!(RuntimeMod,{unsafe {RUNTIME_MOD}}; Mod107, {1_000_000_007}; Mod998, {998_244_353});


#[derive(Clone, Copy)]
pub struct RuntimeMod {}
impl RuntimeMod {
	pub fn set(x: u32) {
		unsafe {
			RUNTIME_MOD = x;
		}
	}
}
#[derive(Clone, Copy)]
pub struct Mod107 {}
#[derive(Clone, Copy)]
pub struct Mod998 {}
#[derive(Clone, Copy)]
pub struct ModInt<MOD: ModNumber> (pub MOD::ModType);

macro_rules! impl_to_modint_bi {
	($($t:ty)*) => ($(
		impl <MOD: ModNumber> ToModInt<MOD> for $t {
			#[inline]
			fn to_modint(self) -> ModInt<MOD> {
				<MOD>::from_bi(self as i64)
			}
		}
	)*)
}
macro_rules! impl_to_modint_si {
	($($t:ty)*) => ($(
		impl <MOD: ModNumber> ToModInt<MOD> for $t {
			#[inline]
			fn to_modint(self) -> ModInt<MOD> {
				<MOD>::from_si(self as i32)
			}
		}
	)*)
}
macro_rules! impl_to_modint_bu {
	($($t:ty)*) => ($(
		impl <MOD: ModNumber> ToModInt<MOD> for $t {
			#[inline]
			fn to_modint(self) -> ModInt<MOD> {
				<MOD>::from_bu(self as u64)
			}
		}
	)*)
}
macro_rules! impl_to_modint_su {
	($($t:ty)*) => ($(
		impl <MOD: ModNumber> ToModInt<MOD> for $t {
			#[inline]
			fn to_modint(self) -> ModInt<MOD> {
				<MOD>::from_su(self as u32)
			}
		}
	)*)
}

impl_to_modint_si!(i8 i16);
impl_to_modint_bu!(u32 u64);
impl_to_modint_su!(u8 u16);
impl_to_modint_bi!(i32 i64);

static mut RUNTIME_MOD: u32 = 0;
impl<MOD: ModNumber> ModInt<MOD> {}
impl<MOD: ModNumber> ModInt<MOD> 
where 
	ModInt<MOD>: MulAssign
{
	pub fn pow(self, mut p: u64) -> Self {
		let mut res = <MOD>::direct(1);
		let mut m = self;
		while p != 0 {
			if p & 1 == 1 {
				res *= m;
			}
			p >>= 1;
			m *= m;
		}
		res
	}
}
macro_rules! impl_modints {
	($($m:ty)*) => ($(
		impl Add<ModInt<$m>> for ModInt<$m> {
			type Output = ModInt<$m>;
			fn add(self, rhs: ModInt<$m>) -> ModInt<$m> {
				ModInt::<$m>((self.0 + rhs.0) % <$m>::modv())
			}
		}
		impl AddAssign<ModInt<$m>> for ModInt<$m> {
			fn add_assign(&mut self, rhs: ModInt<$m>) {
				*self = *self + rhs;
			}
		}
		impl Sub<ModInt<$m>> for ModInt<$m> {
			type Output = ModInt<$m>;
			fn sub(self, rhs: ModInt<$m>) -> ModInt<$m> {
				let mut x = self.0 as i32 - rhs.0 as i32;
				if x < 0 {x += <$m>::modv() as i32}
				ModInt::<$m>(x as u32 % <$m>::modv())
			}
		}
		impl SubAssign<ModInt<$m>> for ModInt<$m> {
			fn sub_assign(&mut self, rhs: ModInt<$m>) {
				*self = *self - rhs;
			}
		}
		impl Mul<ModInt<$m>> for ModInt<$m> {
			type Output = ModInt<$m>;
			fn mul(self, rhs: ModInt<$m>) -> ModInt<$m> {
				let x = self.0 as u64 * rhs.0 as u64;
				ModInt::<$m>((x % <$m>::modv() as u64) as u32)
			}
		}
		impl MulAssign<ModInt<$m>> for ModInt<$m> {
			fn mul_assign(&mut self, rhs: ModInt<$m>) {
				*self = *self * rhs;
			}
		}
		impl Div<ModInt<$m>> for ModInt<$m> {
			type Output = ModInt<$m>;
			fn div(self, rhs: ModInt<$m>) -> ModInt<$m> {
				self * rhs.pow((<$m>::modv() - 2) as u64)
			}
		}
		impl DivAssign<ModInt<$m>> for ModInt<$m> {
			fn div_assign(&mut self, rhs: ModInt<$m>) {
				*self = *self / rhs;
			}
		}
		impl PartialEq<ModInt<$m>> for ModInt<$m> {
			fn eq(&self, rhs: &ModInt<$m>) -> bool {
				self.0 == rhs.0
			}
		}
	)*)
}
impl_modints!(Mod107 Mod998 RuntimeMod);
macro_rules! impl_modint_primint {
	($m:ty, $($t:ty)*) => ($(
		impl Add<$t> for ModInt<$m> {
			type Output = ModInt<$m>;
			fn add(self, rhs: $t) -> ModInt<$m> {
				self + rhs.to_modint()
			}
		}
		impl AddAssign<$t> for ModInt<$m> {
			fn add_assign(&mut self, rhs: $t) {
				*self = *self + rhs;
			}
		}
		impl Sub<$t> for ModInt<$m> {
			type Output = ModInt<$m>;
			fn sub(self, rhs: $t) -> ModInt<$m> {
				self - rhs.to_modint()
			}
		}
		impl SubAssign<$t> for ModInt<$m> {
			fn sub_assign(&mut self, rhs: $t) {
				*self = *self - rhs;
			}
		}
		impl Mul<$t> for ModInt<$m> {
			type Output = ModInt<$m>;
			fn mul(self, rhs: $t) -> ModInt<$m> {
				self * rhs.to_modint()
			}
		}
		impl MulAssign<$t> for ModInt<$m> {
			fn mul_assign(&mut self, rhs: $t) {
				*self = *self * rhs;
			}
		}
		impl Div<$t> for ModInt<$m> {
			type Output = ModInt<$m>;
			fn div(self, rhs: $t) -> ModInt<$m> {
				self / rhs.to_modint()
			}
		}
		impl DivAssign<$t> for ModInt<$m> {
			fn div_assign(&mut self, rhs: $t) {
				*self = *self / rhs;
			}
		}
	)*)
}
impl_modint_primint!(    Mod107, u8 u16 u32 u64 i8 i16 i32 i64);
impl_modint_primint!(    Mod998, u8 u16 u32 u64 i8 i16 i32 i64);
impl_modint_primint!(RuntimeMod, u8 u16 u32 u64 i8 i16 i32 i64);

} // mod mylib

use proconio::input;
// type ModType = mylib::RuntimeMod;
type ModType = mylib::Mod107;
// type ModType = mylib::Mod998;
type ModInt = mylib::ModInt<ModType>;

#[inline]
fn modint<T: mylib::ToModInt<ModType>>(x: T) -> ModInt {
	x.to_modint()
}

use proconio::fastout;

#[fastout]
fn main() {
	input! {
		b: usize,
		w: usize
	}
	let n = b + w;
	let mut fact = vec![modint(1); n];
	for i in 1..n {
		fact[i] = fact[i-1] * i as u32;
	}
	let comb = |n: usize, r: usize| fact[n] / fact[r] / fact[n-r];
	let mut p = modint(0);
	let mut q = modint(0);

	for i in 1..n+1 {
		println!("{}", ((modint(1) - p + q) / modint(2)).0);
		if i >= b {
			p += comb(i-1, b-1) / modint(2).pow(i as u64);
		}
		if i >= w {
			q += comb(i-1, w-1) / modint(2).pow(i as u64);
		}
	}
}

Measured memory_bytes: 3040