// ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::>() }; ($iter:expr, bytes) => { read_value!($iter, String).bytes().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } // ---------- end input macro ---------- fn run() { input!(n: usize, m: usize); const MOD: usize = 998_244_353; let mut map = std::collections::BTreeMap::new(); let mut f = |s: usize, e: usize| -> usize { if s > e { return 0; } if let Some(p) = map.get(&(s, e)) { return *p; } type Mat = (usize, usize, usize); let mut mat = (e - s + 1, (e + s) * (e - s + 1) / 2 % MOD, e - s + 1); let mut t = (1, 0, 1); let mul = |a: &Mat, b: &Mat| -> Mat { (a.0 * b.0 % MOD, (a.0 * b.1 + a.1 * b.2) % MOD, a.2 * b.2 % MOD) }; let mut n = n; while n > 0 { if n & 1 == 1 { t = mul(&t, &mat); } mat = mul(&mat, &mat); n >>= 1; } let res = t.1; map.insert((s, e), res); res }; let mut ans = 0; for i in 1..=m { let x = MOD + f(1, i) - f(1, i - 1); let y = MOD + f(i, m) - f(i + 1, m); ans += i * (MOD + x - y) % MOD; } ans %= MOD; println!("{}", ans); } fn main() { run(); }