結果

問題 No.2369 Some Products
ユーザー akakimidori
提出日時 2023-06-30 22:07:58
言語 Rust
(1.83.0 + proconio)
結果
AC  
実行時間 59 ms / 2,500 ms
コード長 9,647 bytes
コンパイル時間 18,519 ms
コンパイル使用メモリ 399,012 KB
実行使用メモリ 26,880 KB
最終ジャッジ日時 2024-07-07 09:55:38
合計ジャッジ時間 17,172 ms
ジャッジサーバーID
(参考情報)
judge5 / judge1
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 1
other AC * 14
権限があれば一括ダウンロードができます
コンパイルメッセージ
warning: unused import: `std::io::Write`
 --> src/main.rs:1:5
  |
1 | use std::io::Write;
  |     ^^^^^^^^^^^^^^
  |
  = note: `#[warn(unused_imports)]` on by default

warning: type alias `Map` is never used
 --> src/main.rs:4:6
  |
4 | type Map<K, V> = BTreeMap<K, V>;
  |      ^^^
  |
  = note: `#[warn(dead_code)]` on by default

warning: type alias `Set` is never used
 --> src/main.rs:5:6
  |
5 | type Set<T> = BTreeSet<T>;
  |      ^^^

warning: type alias `Deque` is never used
 --> src/main.rs:6:6
  |
6 | type Deque<T> = VecDeque<T>;
  |      ^^^^^

ソースコード

diff #
プレゼンテーションモードにする

use std::io::Write;
use std::collections::*;
type Map<K, V> = BTreeMap<K, V>;
type Set<T> = BTreeSet<T>;
type Deque<T> = VecDeque<T>;
fn main() {
input! {
n: usize,
p: [i64; n],
q: usize,
ask: [(usize1, usize, usize); q],
}
let p = p.into_iter().map(|p| M::from(p)).collect::<Vec<_>>();
let mut ans = vec![M::zero(); q];
let mut dfs = vec![(0, n, (0..q).collect::<Vec<_>>())];
while let Some((l, r, x)) = dfs.pop() {
if x.is_empty() {
continue;
}
if r - l == 1 {
for x in x {
ans[x] = p[l];
}
continue;
}
let m = (l + r) / 2;
let mut left = vec![];
let mut right = vec![];
let mut mid = vec![];
for x in x {
let (s, t, _) = ask[x];
if t <= m {
left.push(x);
} else if m <= s {
right.push(x);
} else {
mid.push(x);
}
}
dfs.push((l, m, left));
dfs.push((m, r, right));
let mut dp = vec![vec![M::one()]];
for &p in p[m..r].iter() {
let last = dp.last().unwrap();
let mut next = vec![M::zero(); last.len() + 1];
for (i, dp) in last.iter().enumerate() {
next[i] += *dp;
next[i + 1] += *dp * p;
}
dp.push(next);
}
let right = dp;
let mut dp = vec![vec![M::one()]];
for &p in p[l..m].iter().rev() {
let last = dp.last().unwrap();
let mut next = vec![M::zero(); last.len() + 1];
for (i, dp) in last.iter().enumerate() {
next[i] += *dp;
next[i + 1] += *dp * p;
}
dp.push(next);
}
let left = dp;
for x in mid {
let (l, r, k) = ask[x];
let (left, right) = (&left[m - l], &right[r - m]);
let ans = &mut ans[x];
for (i, v) in right.iter().enumerate() {
if let Some(u) = left.get(k - i) {
*ans += *v * *u;
}
}
}
}
for a in ans {
println!("{}", a);
}
}
// ---------- begin input macro ----------
// reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
#[macro_export]
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_export]
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_export]
macro_rules! read_value {
($iter:expr, ( $($t:tt),* )) => {
( $(read_value!($iter, $t)),* )
};
($iter:expr, [ $t:tt ; $len:expr ]) => {
(0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
};
($iter:expr, chars) => {
read_value!($iter, String).chars().collect::<Vec<char>>()
};
($iter:expr, bytes) => {
read_value!($iter, String).bytes().collect::<Vec<u8>>()
};
($iter:expr, usize1) => {
read_value!($iter, usize) - 1
};
($iter:expr, $t:ty) => {
$iter.next().unwrap().parse::<$t>().expect("Parse error")
};
}
// ---------- end input macro ----------
// ---------- begin modint ----------
use std::marker::*;
use std::ops::*;
pub trait Modulo {
fn modulo() -> u32;
}
pub struct ConstantModulo<const M: u32>;
impl<const M: u32> Modulo for ConstantModulo<{ M }> {
fn modulo() -> u32 {
M
}
}
pub struct ModInt<T>(u32, PhantomData<T>);
impl<T> Clone for ModInt<T> {
fn clone(&self) -> Self {
Self::new_unchecked(self.0)
}
}
impl<T> Copy for ModInt<T> {}
impl<T: Modulo> Add for ModInt<T> {
type Output = ModInt<T>;
fn add(self, rhs: Self) -> Self::Output {
let mut v = self.0 + rhs.0;
if v >= T::modulo() {
v -= T::modulo();
}
Self::new_unchecked(v)
}
}
impl<T: Modulo> AddAssign for ModInt<T> {
fn add_assign(&mut self, rhs: Self) {
*self = *self + rhs;
}
}
impl<T: Modulo> Sub for ModInt<T> {
type Output = ModInt<T>;
fn sub(self, rhs: Self) -> Self::Output {
let mut v = self.0 - rhs.0;
if self.0 < rhs.0 {
v += T::modulo();
}
Self::new_unchecked(v)
}
}
impl<T: Modulo> SubAssign for ModInt<T> {
fn sub_assign(&mut self, rhs: Self) {
*self = *self - rhs;
}
}
impl<T: Modulo> Mul for ModInt<T> {
type Output = ModInt<T>;
fn mul(self, rhs: Self) -> Self::Output {
let v = self.0 as u64 * rhs.0 as u64 % T::modulo() as u64;
Self::new_unchecked(v as u32)
}
}
impl<T: Modulo> MulAssign for ModInt<T> {
fn mul_assign(&mut self, rhs: Self) {
*self = *self * rhs;
}
}
impl<T: Modulo> Neg for ModInt<T> {
type Output = ModInt<T>;
fn neg(self) -> Self::Output {
if self.is_zero() {
Self::zero()
} else {
Self::new_unchecked(T::modulo() - self.0)
}
}
}
impl<T> std::fmt::Display for ModInt<T> {
fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result {
write!(f, "{}", self.0)
}
}
impl<T> std::fmt::Debug for ModInt<T> {
fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result {
write!(f, "{}", self.0)
}
}
impl<T> Default for ModInt<T> {
fn default() -> Self {
Self::zero()
}
}
impl<T: Modulo> std::str::FromStr for ModInt<T> {
type Err = std::num::ParseIntError;
fn from_str(s: &str) -> Result<Self, Self::Err> {
let val = s.parse::<u32>()?;
Ok(ModInt::new(val))
}
}
impl<T: Modulo> From<usize> for ModInt<T> {
fn from(val: usize) -> ModInt<T> {
ModInt::new_unchecked((val % T::modulo() as usize) as u32)
}
}
impl<T: Modulo> From<u64> for ModInt<T> {
fn from(val: u64) -> ModInt<T> {
ModInt::new_unchecked((val % T::modulo() as u64) as u32)
}
}
impl<T: Modulo> From<i64> for ModInt<T> {
fn from(val: i64) -> ModInt<T> {
let mut v = ((val % T::modulo() as i64) + T::modulo() as i64) as u32;
if v >= T::modulo() {
v -= T::modulo();
}
ModInt::new_unchecked(v)
}
}
impl<T> ModInt<T> {
pub fn new_unchecked(n: u32) -> Self {
ModInt(n, 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
}
}
impl<T: Modulo> ModInt<T> {
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.is_zero());
self.pow(T::modulo() as u64 - 2)
}
pub fn fact(n: usize) -> Self {
(1..=n).fold(Self::one(), |s, a| s * Self::from(a))
}
pub fn perm(n: usize, k: usize) -> Self {
if k > n {
return Self::zero();
}
((n - k + 1)..=n).fold(Self::one(), |s, a| s * Self::from(a))
}
pub fn binom(n: usize, k: usize) -> Self {
if k > n {
return Self::zero();
}
let k = k.min(n - k);
let mut nu = Self::one();
let mut de = Self::one();
for i in 0..k {
nu *= Self::from(n - i);
de *= Self::from(i + 1);
}
nu * de.inv()
}
}
// ---------- end modint ----------
// ---------- begin precalc ----------
pub struct Precalc<T> {
fact: Vec<ModInt<T>>,
ifact: Vec<ModInt<T>>,
inv: Vec<ModInt<T>>,
}
impl<T: Modulo> Precalc<T> {
pub fn new(n: usize) -> Precalc<T> {
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 {
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 { fact, ifact, inv }
}
pub fn inv(&self, n: usize) -> ModInt<T> {
assert!(n > 0);
self.inv[n]
}
pub fn fact(&self, n: usize) -> ModInt<T> {
self.fact[n]
}
pub fn ifact(&self, n: usize) -> ModInt<T> {
self.ifact[n]
}
pub fn perm(&self, n: usize, k: usize) -> ModInt<T> {
if k > n {
return ModInt::zero();
}
self.fact[n] * self.ifact[n - k]
}
pub fn binom(&self, n: usize, k: usize) -> ModInt<T> {
if k > n {
return ModInt::zero();
}
self.fact[n] * self.ifact[k] * self.ifact[n - k]
}
}
// ---------- end precalc ----------
type M = ModInt<ConstantModulo<998_244_353>>;
הההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההההה
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
0