結果

問題 No.1099 Range Square Sum
ユーザー cotton_fn_
提出日時 2020-12-02 17:04:29
言語 Rust
(1.83.0 + proconio)
結果
AC  
実行時間 96 ms / 2,000 ms
コード長 14,537 bytes
コンパイル時間 14,492 ms
コンパイル使用メモリ 383,880 KB
実行使用メモリ 18,520 KB
最終ジャッジ日時 2024-09-13 10:33:06
合計ジャッジ時間 18,949 ms
ジャッジサーバーID
(参考情報)
judge2 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 1
other AC * 30
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#![allow(unused_imports, unused_macros)]
use kyoproio::*;
use std::{
collections::*,
io::{self, prelude::*},
iter,
mem::{replace, swap},
};
fn run<I: Input, O: Write>(mut kin: I, mut out: O) {
let n: usize = kin.input();
let mut lst: LazySegTree<S, F> = kin.iter::<i64>().take(n).map(|x| S(1, x, x * x)).collect();
// eprintln!("{:?}", &lst.ss);
let q: usize = kin.input();
for _ in 0..q {
let ty: u32 = kin.input();
if ty == 1 {
let (l, r, x): (usize, usize, i64) = kin.input();
lst.apply(l - 1, r, &F(x));
} else {
let (l, r): (usize, usize) = kin.input();
let s = lst.prod(l - 1, r);
// eprintln!("{:?}", &s);
outln!(out, s.2);
}
}
}
#[derive(Debug)]
struct S(i64, i64, i64);
struct F(i64);
impl Monoid for S {
fn id() -> Self {
S(0, 0, 0)
}
fn op(&self, other: &Self) -> Self {
S(self.0 + other.0, self.1 + other.1, self.2 + other.2)
}
}
impl Monoid for F {
fn id() -> Self {
F(0)
}
fn op(&self, other: &Self) -> Self {
F(self.0 + other.0)
}
}
impl Map<S> for F {
fn map(&self, a: S) -> S {
// (a1 + x) ^ 2 + (a2 + x) ^ 2 + ... + (an + x) ^ 2
// (a1^2 + 2a1x + x^2) + (a2^2 + 2a2x + x^2) + ...
// (a1^2 + a2^2 + ...) + 2x(a1 + a2 + ...) + nx^2
let S(n, a, asq) = a;
let x = self.0;
S(n, a + n * x, asq + 2 * a * x + n * x * x)
}
}
pub trait Monoid {
fn id() -> Self;
fn op(&self, other: &Self) -> Self;
}
pub trait Map<T> {
fn map(&self, x: T) -> T;
}
pub struct LazySegTree<T, F> {
ss: Box<[T]>,
fs: Box<[F]>,
}
impl<T: Monoid, F: Monoid + Map<T>> LazySegTree<T, F> {
pub fn new(n: usize) -> Self {
use std::iter::repeat_with;
let len = 2 * n.next_power_of_two();
Self {
ss: repeat_with(T::id).take(len).collect(),
fs: repeat_with(F::id).take(len).collect(),
}
}
fn len(&self) -> usize {
self.ss.len() / 2
}
fn propagate(&mut self, i: usize) {
let h = 8 * std::mem::size_of::<usize>() as u32 - i.leading_zeros();
for k in (1..h).rev() {
let p = i >> k;
let l = 2 * p;
let r = 2 * p + 1;
self.ss[l] = self.fs[p].map(std::mem::replace(&mut self.ss[l], T::id()));
self.ss[r] = self.fs[p].map(std::mem::replace(&mut self.ss[r], T::id()));
self.fs[l] = self.fs[p].op(&self.fs[l]);
self.fs[r] = self.fs[p].op(&self.fs[r]);
self.fs[p] = F::id();
}
}
pub fn prod(&mut self, l: usize, r: usize) -> T {
assert!(l <= r);
assert!(r <= self.len());
let mut l = l + self.len();
let mut r = r + self.len();
self.propagate(l >> l.trailing_zeros());
self.propagate((r >> r.trailing_zeros()) - 1);
let mut lv = T::id();
let mut rv = T::id();
while l < r {
if l % 2 == 1 {
lv = lv.op(&self.ss[l]);
l += 1;
}
if r % 2 == 1 {
r -= 1;
rv = rv.op(&self.ss[r]);
}
l /= 2;
r /= 2;
}
lv.op(&rv)
}
pub fn set(&mut self, i: usize, v: T) {
let mut i = i + self.len();
self.propagate(i);
self.ss[i] = v;
while i > 1 {
i /= 2;
self.ss[i] = self.ss[2 * i].op(&self.ss[2 * i + 1]);
}
}
pub fn apply(&mut self, l: usize, r: usize, f: &F) {
assert!(l <= r);
assert!(r <= self.len());
let mut li = l + self.len();
let mut ri = r + self.len();
let ln = li >> li.trailing_zeros();
let rn = ri >> ri.trailing_zeros();
self.propagate(ln);
self.propagate(rn - 1);
while li < ri {
if li % 2 == 1 {
self.fs[li] = f.op(&self.fs[li]);
self.ss[li] = f.map(std::mem::replace(&mut self.ss[li], T::id()));
li += 1;
}
if ri % 2 == 1 {
ri -= 1;
self.fs[ri] = f.op(&self.fs[ri]);
self.ss[ri] = f.map(std::mem::replace(&mut self.ss[ri], T::id()));
}
li /= 2;
ri /= 2;
}
let mut l = (l + self.len()) / 2;
let mut r = (r + self.len() - 1) / 2;
while l > 0 {
if l < ln {
self.ss[l] = self.ss[2 * l].op(&self.ss[2 * l + 1]);
}
if
/*l != r && */
r < rn - 1 {
self.ss[r] = self.ss[2 * r].op(&self.ss[2 * r + 1]);
}
l /= 2;
r /= 2;
}
}
}
impl<T: Monoid, F: Monoid + Map<T>> std::iter::FromIterator<T> for LazySegTree<T, F> {
fn from_iter<I: IntoIterator<Item = T>>(iter: I) -> Self {
let mut ss: Vec<_> = iter.into_iter().collect();
let iter_n = ss.len();
let n = iter_n.next_power_of_two();
ss.splice(..0, std::iter::repeat_with(T::id).take(n));
ss.extend(std::iter::repeat_with(T::id).take(n - iter_n));
debug_assert_eq!(ss.len(), 2 * n);
for i in (1..n).rev() {
ss[i] = ss[2 * i].op(&ss[2 * i + 1]);
}
Self {
ss: ss.into(),
fs: std::iter::repeat_with(F::id).take(2 * n).collect(),
}
}
}
// -----------------------------------------------------------------------------
fn main() -> io::Result<()> {
std::thread::Builder::new()
.stack_size(64 * 1024 * 1024)
.spawn(|| {
run(
KInput::new(io::stdin().lock()),
io::BufWriter::new(io::stdout().lock()),
)
})?
.join()
.unwrap();
Ok(())
}
// -----------------------------------------------------------------------------
pub mod kyoproio {
use std::{
io::prelude::*,
iter::FromIterator,
marker::PhantomData,
mem::{self, MaybeUninit},
ptr, slice, str,
};
pub trait Input {
fn bytes(&mut self) -> &[u8];
fn str(&mut self) -> &str {
str::from_utf8(self.bytes()).unwrap()
}
fn input<T: InputItem>(&mut self) -> T {
T::input(self)
}
fn iter<T: InputItem>(&mut self) -> Iter<T, Self> {
Iter(self, PhantomData)
}
fn seq<T: InputItem, B: FromIterator<T>>(&mut self, n: usize) -> B {
self.iter().take(n).collect()
}
}
pub struct KInput<R> {
src: R,
buf: Vec<u8>,
pos: usize,
len: usize,
}
impl<R: Read> KInput<R> {
pub fn new(src: R) -> Self {
Self {
src,
buf: vec![0; 1 << 16],
pos: 0,
len: 0,
}
}
fn read(&mut self) -> usize {
if self.pos > 0 {
self.buf.copy_within(self.pos..self.len, 0);
self.len -= self.pos;
self.pos = 0;
} else if self.len >= self.buf.len() {
self.buf.resize(2 * self.buf.len(), 0);
}
let read = self.src.read(&mut self.buf[self.len..]).unwrap();
self.len += read;
read
}
}
impl<R: Read> Input for KInput<R> {
fn bytes(&mut self) -> &[u8] {
loop {
while let Some(d) = self.buf[self.pos..self.len]
.iter()
.position(u8::is_ascii_whitespace)
{
let p = self.pos;
self.pos += d + 1;
if d > 0 {
return &self.buf[p..p + d];
}
}
if self.read() == 0 {
return &self.buf[mem::replace(&mut self.pos, self.len)..self.len];
}
}
}
}
pub struct Iter<'a, T, I: ?Sized>(&'a mut I, PhantomData<*const T>);
impl<'a, T: InputItem, I: Input + ?Sized> Iterator for Iter<'a, T, I> {
type Item = T;
fn next(&mut self) -> Option<T> {
Some(self.0.input())
}
fn size_hint(&self) -> (usize, Option<usize>) {
(!0, None)
}
}
pub trait InputItem: Sized {
fn input<I: Input + ?Sized>(src: &mut I) -> Self;
}
impl InputItem for Vec<u8> {
fn input<I: Input + ?Sized>(src: &mut I) -> Self {
src.bytes().to_owned()
}
}
macro_rules! from_str_impl {
{ $($T:ty)* } => {
$(impl InputItem for $T {
fn input<I: Input + ?Sized>(src: &mut I) -> Self {
src.str().parse::<$T>().unwrap()
}
})*
}
}
from_str_impl! { String char bool f32 f64 }
macro_rules! parse_int_impl {
{ $($I:ty: $U:ty)* } => {
$(impl InputItem for $I {
fn input<I: Input + ?Sized>(src: &mut I) -> Self {
let f = |s: &[u8]| s.iter().fold(0, |x, b| 10 * x + (b & 0xf) as $I);
let s = src.bytes();
if let Some((&b'-', t)) = s.split_first() { -f(t) } else { f(s) }
}
}
impl InputItem for $U {
fn input<I: Input + ?Sized>(src: &mut I) -> Self {
src.bytes().iter().fold(0, |x, b| 10 * x + (b & 0xf) as $U)
}
})*
};
}
parse_int_impl! { isize:usize i8:u8 i16:u16 i32:u32 i64:u64 i128:u128 }
macro_rules! tuple_impl {
($H:ident $($T:ident)*) => {
impl<$H: InputItem, $($T: InputItem),*> InputItem for ($H, $($T),*) {
fn input<I: Input + ?Sized>(src: &mut I) -> Self {
($H::input(src), $($T::input(src)),*)
}
}
tuple_impl!($($T)*);
};
() => {}
}
tuple_impl!(A B C D E F G);
macro_rules! array_impl {
{ $($N:literal)* } => {
$(impl<T: InputItem> InputItem for [T; $N] {
fn input<I: Input + ?Sized>(src: &mut I) -> Self {
let mut arr = MaybeUninit::uninit();
let ptr = arr.as_mut_ptr() as *mut T;
unsafe {
for i in 0..$N {
ptr.add(i).write(src.input());
}
arr.assume_init()
}
}
})*
};
}
array_impl! { 1 2 3 4 5 6 7 8 }
pub trait Output: Write + Sized {
fn bytes(&mut self, buf: &[u8]) {
self.write_all(buf).unwrap();
}
fn output<T: OutputItem>(&mut self, x: T) {
x.output(self);
}
fn byte(&mut self, b: u8) {
self.bytes(slice::from_ref(&b));
}
fn seq<T: OutputItem, I: IntoIterator<Item = T>>(&mut self, iter: I, delim: u8) {
let mut iter = iter.into_iter();
if let Some(x) = iter.next() {
self.output(x);
for x in iter {
self.byte(delim);
self.output(x);
}
}
}
fn flush_debug(&mut self) {
if cfg!(debug_assertions) {
self.flush().unwrap();
}
}
}
impl<W: Write + Sized> Output for W {}
pub trait OutputItem {
fn output<O: Output>(self, dest: &mut O);
}
impl OutputItem for &str {
fn output<O: Output>(self, dest: &mut O) {
dest.bytes(self.as_bytes());
}
}
macro_rules! output_int_impl {
($conv:ident; $U:ty; $($T:ty)*) => {
$(impl OutputItem for $T {
fn output<O: Output>(self, dest: &mut O) {
let mut buf = MaybeUninit::<[u8; 20]>::uninit();
unsafe {
let ptr = buf.as_mut_ptr() as *mut u8;
let ofs = $conv(self as $U, ptr, 20);
dest.bytes(slice::from_raw_parts(ptr.add(ofs), 20 - ofs));
}
}
}
impl OutputItem for &$T {
fn output<O: Output>(self, dest: &mut O) {
(*self).output(dest);
}
})*
};
}
output_int_impl!(i64_to_bytes; i64; isize i8 i16 i32 i64);
output_int_impl!(u64_to_bytes; u64; usize u8 u16 u32 u64);
static DIGITS_LUT: &[u8; 200] = b"0001020304050607080910111213141516171819\
2021222324252627282930313233343536373839\
4041424344454647484950515253545556575859\
6061626364656667686970717273747576777879\
8081828384858687888990919293949596979899";
unsafe fn i64_to_bytes(x: i64, buf: *mut u8, len: usize) -> usize {
let (neg, x) = if x < 0 { (true, -x) } else { (false, x) };
let mut i = u64_to_bytes(x as u64, buf, len);
if neg {
i -= 1;
*buf.add(i) = b'-';
}
i
}
unsafe fn u64_to_bytes(mut x: u64, buf: *mut u8, len: usize) -> usize {
let lut = DIGITS_LUT.as_ptr();
let mut i = len;
let mut two = |x| {
i -= 2;
ptr::copy_nonoverlapping(lut.add(2 * x), buf.add(i), 2);
};
while x >= 10000 {
let rem = (x % 10000) as usize;
two(rem % 100);
two(rem / 100);
x /= 10000;
}
let mut x = x as usize;
if x >= 100 {
two(x % 100);
x /= 100;
}
if x >= 10 {
two(x);
} else {
i -= 1;
*buf.add(i) = x as u8 + b'0';
}
i
}
#[macro_export]
macro_rules! out {
($out:expr, $arg:expr) => {
$out.output($arg);
};
($out:expr, $first:expr, $($rest:expr),*) => {
$out.output($first);
$out.ws();
out!($out, $($rest),*);
}
}
#[macro_export]
macro_rules! outln {
($out:expr, $($args:expr),*) => {
out!($out, $($args),*);
$out.byte(b'\n');
$out.flush_debug();
}
}
#[macro_export]
macro_rules! kdbg {
($($v:expr),*) => {
if cfg!(debug_assertions) { dbg!($($v),*) } else { ($($v),*) }
}
}
}
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