// ---------- begin SegmentTree Point update Range query ---------- mod segment_tree { pub struct PURQ { n: usize, a: Vec, id: T, op: F, } #[allow(dead_code)] impl T> PURQ { pub fn new(n: usize, id: T, op: F) -> PURQ { let mut k = 1; while k < n { k *= 2; } PURQ { n: k, a: vec![id.clone(); 2 * k], id: id, op: op, } } pub fn update(&mut self, x: usize, v: T) { let mut k = self.n + x; let a = &mut self.a; a[k] = v; k >>= 1; while k > 0 { a[k] = (self.op)(&a[2 * k], &a[2 * k + 1]); k >>= 1; } } pub fn update_tmp(&mut self, x: usize, v: T) { self.a[x + self.n] = v; } pub fn update_all(&mut self) { let a = &mut self.a; for k in (1..(self.n)).rev() { a[k] = (self.op)(&a[2 * k], &a[2 * k + 1]); } } pub fn find(&self, mut l: usize, mut r: usize) -> T { let mut p = self.id.clone(); let mut q = self.id.clone(); l += self.n; r += self.n; let a = &self.a; while l < r { if (l & 1) == 1 { p = (self.op)(&p, &a[l]); l += 1; } if (r & 1) == 1 { r -= 1; q = (self.op)(&a[r], &q); } l >>= 1; r >>= 1; } (self.op)(&p, &q) } } } // ---------- end SegmentTree Point update Range query ---------- // ---------- begin ModInt ---------- mod modint { #[allow(dead_code)] pub struct Mod; impl ConstantModulo for Mod { const MOD: u32 = 998_244_353; } #[allow(dead_code)] pub struct StaticMod; static mut STATIC_MOD: u32 = 0; impl Modulo for StaticMod { fn modulo() -> u32 { unsafe { STATIC_MOD } } } #[allow(dead_code)] impl StaticMod { pub fn set_modulo(p: u32) { unsafe { STATIC_MOD = p; } } } use std::marker::*; use std::ops::*; pub trait Modulo { fn modulo() -> u32; } pub trait ConstantModulo { const MOD: u32; } impl Modulo for T where T: ConstantModulo, { fn modulo() -> u32 { T::MOD } } pub struct ModInt(pub u32, PhantomData); impl Clone for ModInt { fn clone(&self) -> Self { ModInt::new_unchecked(self.0) } } impl Copy for ModInt {} impl Add for ModInt { type Output = ModInt; fn add(self, rhs: Self) -> Self::Output { let mut d = self.0 + rhs.0; if d >= T::modulo() { d -= T::modulo(); } ModInt::new_unchecked(d) } } impl AddAssign for ModInt { fn add_assign(&mut self, rhs: Self) { *self = *self + rhs; } } impl Sub for ModInt { type Output = ModInt; fn sub(self, rhs: Self) -> Self::Output { let mut d = T::modulo() + self.0 - rhs.0; if d >= T::modulo() { d -= T::modulo(); } ModInt::new_unchecked(d) } } impl SubAssign for ModInt { fn sub_assign(&mut self, rhs: Self) { *self = *self - rhs; } } impl Mul for ModInt { type Output = ModInt; fn mul(self, rhs: Self) -> Self::Output { let v = self.0 as u64 * rhs.0 as u64 % T::modulo() as u64; ModInt::new_unchecked(v as u32) } } impl MulAssign for ModInt { fn mul_assign(&mut self, rhs: Self) { *self = *self * rhs; } } impl Neg for ModInt { type Output = ModInt; fn neg(self) -> Self::Output { if self.0 == 0 { Self::zero() } else { Self::new_unchecked(T::modulo() - self.0) } } } impl std::fmt::Display for ModInt { fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result { write!(f, "{}", self.0) } } impl std::str::FromStr for ModInt { type Err = std::num::ParseIntError; fn from_str(s: &str) -> Result { let val = s.parse::()?; Ok(ModInt::new(val)) } } impl From for ModInt { fn from(val: usize) -> ModInt { ModInt::new_unchecked((val % T::modulo() as usize) as u32) } } impl From for ModInt { fn from(val: u64) -> ModInt { ModInt::new_unchecked((val % T::modulo() as u64) as u32) } } impl From for ModInt { fn from(val: i64) -> ModInt { let m = T::modulo() as i64; ModInt::new((val % m + m) as u32) } } #[allow(dead_code)] impl ModInt { pub fn new_unchecked(d: u32) -> Self { ModInt(d, PhantomData) } pub fn zero() -> Self { ModInt::new_unchecked(0) } pub fn one() -> Self { ModInt::new_unchecked(1) } pub fn is_zero(&self) -> bool { self.0 == 0 } } #[allow(dead_code)] impl ModInt { pub fn new(d: u32) -> Self { ModInt::new_unchecked(d % T::modulo()) } pub fn pow(&self, mut n: u64) -> Self { let mut t = Self::one(); let mut s = *self; while n > 0 { if n & 1 == 1 { t *= s; } s *= s; n >>= 1; } t } pub fn inv(&self) -> Self { assert!(self.0 != 0); self.pow(T::modulo() as u64 - 2) } } #[allow(dead_code)] pub fn mod_pow(r: u64, mut n: u64, m: u64) -> u64 { let mut t = 1 % m; let mut s = r % m; while n > 0 { if n & 1 == 1 { t = t * s % m; } s = s * s % m; n >>= 1; } t } } // ---------- end ModInt ---------- // ---------- begin Precalc ---------- mod precalc { use super::modint::*; #[allow(dead_code)] pub struct Precalc { inv: Vec>, fact: Vec>, ifact: Vec>, } #[allow(dead_code)] impl Precalc { pub fn new(n: usize) -> Precalc { let mut inv = vec![ModInt::one(); n + 1]; let mut fact = vec![ModInt::one(); n + 1]; let mut ifact = vec![ModInt::one(); n + 1]; for i in 2..(n + 1) { fact[i] = fact[i - 1] * ModInt::new_unchecked(i as u32); } ifact[n] = fact[n].inv(); if n > 0 { inv[n] = ifact[n] * fact[n - 1]; } for i in (1..n).rev() { ifact[i] = ifact[i + 1] * ModInt::new_unchecked((i + 1) as u32); inv[i] = ifact[i] * fact[i - 1]; } Precalc { inv: inv, fact: fact, ifact: ifact, } } pub fn inv(&self, n: usize) -> ModInt { assert!(n > 0); self.inv[n] } pub fn fact(&self, n: usize) -> ModInt { self.fact[n] } pub fn ifact(&self, n: usize) -> ModInt { self.ifact[n] } pub fn perm(&self, n: usize, k: usize) -> ModInt { if k > n { return ModInt::zero(); } self.fact[n] * self.ifact[n - k] } pub fn comb(&self, n: usize, k: usize) -> ModInt { if k > n { return ModInt::zero(); } self.fact[n] * self.ifact[k] * self.ifact[n - k] } } } // ---------- end Precalc ---------- // ---------- begin fenwick tree ---------- pub struct Fenwick { zero: T, a: Box<[T]>, } impl Fenwick where T: Copy + std::ops::Add, { pub fn new(size: usize, zero: T) -> Fenwick { Fenwick { zero: zero, a: vec![zero; size + 1].into_boxed_slice(), } } pub fn init(&mut self) { for a in self.a.iter_mut() { *a = self.zero; } } pub fn add(&mut self, mut x: usize, v: T) { assert!(x > 0); while let Some(a) = self.a.get_mut(x) { *a = *a + v; x += x & (!x + 1); } } pub fn sum(&self, mut x: usize) -> T { assert!(x < self.a.len()); let mut res = self.zero; while x > 0 { res = res + self.a[x]; x -= x & (!x + 1); } res } } // ---------- end fenwick tree ---------- // ---------- 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 ---------- use modint::*; type M = ModInt; fn run() { input! { n: usize, a: [u32; n], } let mut b = a.clone(); b.sort(); b.dedup(); let mut seg1 = segment_tree::PURQ::new(b.len() + 1, (M::zero(), M::zero()), |a, b| (a.0 + b.0, a.1 + b.1)); let mut seg2 = segment_tree::PURQ::new(b.len() + 1, (M::zero(), M::zero()), |a, b| (a.0 + b.0, a.1 + b.1)); let mut ans = M::zero(); for a in a.iter() { let x = b.binary_search(a).unwrap(); let a = M::new(*a); let (s, v) = seg2.find(x + 1, b.len() + 1); ans += s + v * a; let (s, v) = seg1.find(x + 1, b.len() + 1); let (p, q) = seg2.find(x, x + 1); seg2.update(x, (p + s + v * a, q + v)); let (s, v) = seg1.find(x, x + 1); seg1.update(x, (s + a, v + M::one())); } println!("{}", ans); } fn main() { run(); }