use proconio::input; fn main() { input! { n:usize, k:usize, } let mut dp = vec![ModInt::<MOD>::new(0); n + 1]; dp[0] = ModInt::new(1); let mut dp_sum = vec![ModInt::new(0); n + 1]; dp_sum[0] = ModInt::new(1); for i in 1..=n { if i >= k { dp[i] = dp_sum[i - k]; } dp_sum[i] = dp_sum[i - 1] + dp[i]; } let mut ans = ModInt::new(0); for i in 0..=n { ans += dp[i]; } println!("{}", ans); } const MOD: usize = 998244353; use modint::*; mod modint { use std::fmt; use std::ops; #[derive(Copy, Clone, PartialEq, Eq)] pub struct ModInt<const MOD: usize> { pub val: usize, } impl<const MOD: usize> ModInt<MOD> { pub fn new(val: usize) -> Self { Self { val: val % MOD } } pub fn pow(mut self, mut e: usize) -> Self { let mut res = Self::new(1); while 0 < e { if e & 1 != 0 { res *= self; } self *= self; e >>= 1; } res } } impl<const MOD: usize> From<usize> for ModInt<MOD> { fn from(value: usize) -> Self { Self { val: value % MOD } } } impl<const MOD: usize> fmt::Display for ModInt<MOD> { fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result { write!(f, "{}", self.val) } } impl<const MOD: usize> fmt::Debug for ModInt<MOD> { fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result { write!(f, "{}", self.val) } } impl<const MOD: usize> ops::Neg for ModInt<MOD> { type Output = Self; fn neg(self) -> Self::Output { Self { val: (MOD - self.val) % MOD, } } } impl<const MOD: usize> ops::Add for ModInt<MOD> { type Output = Self; fn add(self, rhs: Self) -> Self::Output { Self { val: (self.val + rhs.val) % MOD, } } } impl<const MOD: usize> ops::AddAssign for ModInt<MOD> { fn add_assign(&mut self, rhs: Self) { *self = *self + rhs; } } impl<const MOD: usize> ops::Mul for ModInt<MOD> { type Output = Self; fn mul(self, rhs: Self) -> Self::Output { Self { val: self.val * rhs.val % MOD, } } } impl<const MOD: usize> ops::MulAssign for ModInt<MOD> { fn mul_assign(&mut self, rhs: Self) { *self = *self * rhs; } } impl<const MOD: usize> ops::Sub for ModInt<MOD> { type Output = Self; fn sub(mut self, rhs: Self) -> Self::Output { if self.val < rhs.val { self.val += MOD; } Self { val: (self.val - rhs.val) % MOD, } } } impl<const MOD: usize> ops::SubAssign for ModInt<MOD> { fn sub_assign(&mut self, rhs: Self) { if self.val < rhs.val { self.val += MOD; } *self = *self - rhs; } } impl<const MOD: usize> ops::Div for ModInt<MOD> { type Output = Self; fn div(self, rhs: Self) -> Self { assert!(rhs.val != 0); self * rhs.pow(MOD - 2) } } impl<const MOD: usize> ops::DivAssign for ModInt<MOD> { fn div_assign(&mut self, rhs: Self) { *self = *self / rhs } } }