#633765 (Rust) No.728 ギブ and テイク

• 問題: No.728 ギブ and テイク
• ユーザー: nebocco
• 提出日時: 2021-03-25 01:20:01
• 言語: Rust (1.77.0 + proconio)
• 結果: AC
• 実行時間: 277 ms / 3,000 ms
• コード長: 11,557 bytes
• コンパイル時間: 14,865 ms
• コンパイル使用メモリ: 379,800 KB
• 実行使用メモリ: 58,192 KB
• 最終ジャッジ日時: 2024-05-05 05:38:38
• 合計ジャッジ時間: 15,504 ms
• ジャッジサーバーID （参考情報）: judge2 / judge5

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	1 ms; 5,248 KB
testcase_01	AC	0 ms; 5,376 KB
testcase_02	AC	1 ms; 5,376 KB
testcase_03	AC	1 ms; 5,376 KB
testcase_04	AC	1 ms; 5,376 KB
testcase_05	AC	1 ms; 5,376 KB
testcase_06	AC	1 ms; 5,376 KB
testcase_07	AC	1 ms; 5,376 KB
testcase_08	AC	1 ms; 5,376 KB
testcase_09	AC	1 ms; 5,376 KB
testcase_10	AC	1 ms; 5,376 KB
testcase_11	AC	1 ms; 5,376 KB
testcase_12	AC	1 ms; 5,376 KB
testcase_13	AC	12 ms; 5,376 KB
testcase_14	AC	21 ms; 7,028 KB
testcase_15	AC	9 ms; 5,376 KB
testcase_16	AC	19 ms; 6,464 KB
testcase_17	AC	18 ms; 6,108 KB
testcase_18	AC	184 ms; 41,768 KB
testcase_19	AC	205 ms; 44,260 KB
testcase_20	AC	246 ms; 51,188 KB
testcase_21	AC	216 ms; 46,680 KB
testcase_22	AC	76 ms; 19,704 KB
testcase_23	AC	48 ms; 13,556 KB
testcase_24	AC	151 ms; 35,024 KB
testcase_25	AC	147 ms; 35,056 KB
testcase_26	AC	71 ms; 18,940 KB
testcase_27	AC	277 ms; 58,192 KB
testcase_28	AC	158 ms; 51,156 KB
testcase_29	AC	0 ms; 5,376 KB
testcase_30	AC	1 ms; 5,376 KB
testcase_31	AC	1 ms; 5,376 KB
testcase_32	AC	1 ms; 5,376 KB

ソースコード

fn main() {
	let mut io = IO::new();
    input!{ from io,
		n: usize,
		a: [i64; n],
		lr: [(i64, i64); n]
    }
	let mut l = vec![n; n];
	let mut r = vec![0; n];
	let mut st = Vec::with_capacity(3*n);
	for i in 0..n {
		st.push((a[i] - lr[i].0, i));
		st.push((a[i], i+n));
		st.push((a[i] + lr[i].1, i+n*2));
	}
	st.sort();
	let mut cur = 0;
	for (_, i) in st.drain(..) {
		if i < n {
			l[i] = cur;
		} else if i < 2 * n {
			cur += 1;
		} else {
			r[i-2*n] = cur-1;
		}
	}

    let mut cnt = vec![0; n];
    let mut bit = FenwickTree::new(n);
    let mut st = vec![Vec::new(); n];
    for i in 0..n {
        st[r[i]].push(i);
    }
    for idx in 0..n {
        bit.add(l[idx], 1);
        cnt[idx] -= bit.sum(..=idx);
        for i in st[idx].drain(..) {
            cnt[i] += bit.sum(..=i);
        }
    }

    for i in 0..n {
        st[l[i]].push(i);
    }
    for idx in (0..n).rev() {
        bit.add(r[idx], 1);
        cnt[idx] -= bit.sum(idx..);
        for i in st[idx].drain(..) {
            cnt[i] += bit.sum(i..);
        }
    }
    io.println(cnt.iter().sum::<i64>() / 2);
}

// ------------ FenwickTree with generics start ------------

#[derive(Clone, Debug)]
pub struct FenwickTree<T>(Vec<T>);

impl<T: Monoid> FenwickTree<T> {
    #[inline]
    fn lsb(x: usize) -> usize {
        x & x.wrapping_neg()
    }

    pub fn new(n: usize) -> Self {
        Self(vec![T::zero(); n+1])
    }

    pub fn prefix_sum(&self, i: usize) -> T {
        std::iter::successors(Some(i), |&i| Some(i - Self::lsb(i)))
        .take_while(|&i| i != 0)
        .map(|i| self.0[i].clone())
        .fold(T::zero(), |sum, x| sum + x)
    }

    pub fn add(&mut self, i: usize, x: T) {
        let n = self.0.len();
        std::iter::successors(Some(i + 1), |&i| Some(i + Self::lsb(i)))
        .take_while(|&i| i < n)
        .for_each(|i| self.0[i] = self.0[i].clone() + x.clone());
    }

    /// pred(j, sum(..j)) && !pred(j+1, sum(..j+1))
    pub fn partition(&self, pred: impl Fn(usize, &T) -> bool) -> (usize, T) {
        assert!(pred(0, &self.0[0]), "need to be pred(0, 0)");
        let mut j = 0;
        let mut current = self.0[0].clone();
        let n = self.0.len();
        for d in std::iter::successors(Some(n.next_power_of_two() >> 1), |&d| { Some(d >> 1)})
            .take_while(|&d| d != 0)
        {
            if j + d < n {
                let next = current.clone() + self.0[j + d].clone();
                if pred(j + d, &next) {
                    current = next;
                    j += d;
                }
            }
        }
        (j, current)
    }
}

impl<T: Monoid> From<Vec<T>> for FenwickTree<T> {
    fn from(src: Vec<T>) -> Self {
        let mut table = std::iter::once(T::zero())
            .chain(src.into_iter())
            .collect::<Vec<T>>();
        let n = table.len();
        (1..n)
            .map(|i| (i, i + Self::lsb(i)))
            .filter(|&(_, j)| j < n)
            .for_each(|(i, j)| {
                table[j] = table[j].clone() + table[i].clone();
            });
        Self(table)
    }
}

impl<T: Group> FenwickTree<T> {
    pub fn sum<R: RangeBounds<usize>>(&self, rng: R) -> T {
        let Range { start, end } = bounds_within(rng, self.0.len() - 1);
        self.prefix_sum(end) + -self.prefix_sum(start)
    }
}

// ------------ FenwickTree with generics end ------------

use std::ops::Bound::{Excluded, Included, Unbounded};
use std::ops::{Range, RangeBounds};

/// 区間を配列サイズに収まるように丸める。
///
/// 与えられた区間 `r` と `0..len` の共通部分を、有界な半開区間として返す。
///
/// # Examples
/// ```
/// use bibliotheca::utils::bounds::bounds_within;
///
/// assert_eq!(bounds_within(.., 7), 0..7);
/// assert_eq!(bounds_within(..=4, 7), 0..5);
/// ```
pub fn bounds_within<R: RangeBounds<usize>>(r: R, len: usize) -> Range<usize> {
    let e_ex = match r.end_bound() {
        Included(&e) => e + 1,
        Excluded(&e) => e,
        Unbounded => len,
    }
    .min(len);
    let s_in = match r.start_bound() {
        Included(&s) => s,
        Excluded(&s) => s + 1,
        Unbounded => 0,
    }
    .min(e_ex);
    s_in..e_ex
}


// ------------ algebraic traits start ------------
use std::marker::Sized;
use std::ops::*;

/// 元
pub trait Element: Sized + Clone + PartialEq {}
impl<T: Sized + Clone + PartialEq> Element for T {}

/// 結合性
pub trait Associative: Magma {}

/// マグマ
pub trait Magma: Element + Add<Output=Self> {}
impl<T: Element + Add<Output=Self>> Magma for T {}

/// 半群
pub trait SemiGroup: Magma + Associative {}
impl<T: Magma + Associative> SemiGroup for T {}

/// モノイド
pub trait Monoid: SemiGroup + Zero {}
impl<T: SemiGroup + Zero> Monoid for T {}

pub trait ComMonoid: Monoid + AddAssign {}
impl<T: Monoid + AddAssign> ComMonoid for T {}

/// 群
pub trait Group: Monoid + Neg<Output=Self> {}
impl<T: Monoid + Neg<Output=Self>> Group for T {}

pub trait ComGroup: Group + ComMonoid {}
impl<T: Group + ComMonoid> ComGroup for T {}

/// 半環
pub trait SemiRing: ComMonoid + Mul<Output=Self> + One {}
impl<T: ComMonoid + Mul<Output=Self> + One> SemiRing for T {}

/// 環
pub trait Ring: ComGroup + SemiRing {}
impl<T: ComGroup + SemiRing> Ring for T {}

pub trait ComRing: Ring + MulAssign {}
impl<T: Ring + MulAssign> ComRing for T {}

/// 体
pub trait Field: ComRing + Div<Output=Self> + DivAssign {}
impl<T: ComRing + Div<Output=Self> + DivAssign> Field for T {}

/// 加法単元
pub trait Zero: Element {
    fn zero() -> Self;
    fn is_zero(&self) -> bool {
        *self == Self::zero()
    }
}

/// 乗法単元
pub trait One: Element {
    fn one() -> Self;
    fn is_one(&self) -> bool {
        *self == Self::one()
    }
}

macro_rules! impl_integer {
    ($($T:ty,)*) => {
        $(
            impl Associative for $T {}

            impl Zero for $T {
                fn zero() -> Self { 0 }
                fn is_zero(&self) -> bool { *self == 0 }
            }

            impl<'a> Zero for &'a $T {
                fn zero() -> Self { &0 }
                fn is_zero(&self) -> bool { *self == &0 }
            }

            impl One for $T {
                fn one() -> Self { 1 }
                fn is_one(&self) -> bool { *self == 1 }
            }

            impl<'a> One for &'a $T {
                fn one() -> Self { &1 }
                fn is_one(&self) -> bool { *self == &1 }
            }
        )*
    };
}

impl_integer! {
    i8, i16, i32, i64, i128, isize,
    u8, u16, u32, u64, u128, usize,
}
// ------------ algebraic traits end ------------



// ------------ io module start ------------
use std::io::{stdout, BufWriter, Read, StdoutLock, Write};

pub struct IO {
	iter: std::str::SplitAsciiWhitespace<'static>,
	buf: BufWriter<StdoutLock<'static>>,
}

impl IO {
	pub fn new() -> Self {
		let mut input = String::new();
		std::io::stdin().read_to_string(&mut input).unwrap();
		let input = Box::leak(input.into_boxed_str());
		let out = Box::new(stdout());
		IO {
			iter: input.split_ascii_whitespace(),
			buf: BufWriter::new(Box::leak(out).lock()),
		}
	}
	fn scan_str(&mut self) -> &'static str {
		self.iter.next().unwrap()
	}
	pub fn scan<T: Scan>(&mut self) -> <T as Scan>::Output {
		<T as Scan>::scan(self)
	}
	pub fn scan_vec<T: Scan>(&mut self, n: usize) -> Vec<<T as Scan>::Output> {
		(0..n).map(|_| self.scan::<T>()).collect()
	}
	pub fn print<T: Print>(&mut self, x: T) {
		<T as Print>::print(self, x);
	}
	pub fn println<T: Print>(&mut self, x: T) {
		self.print(x);
		self.print("\n");
	}
	pub fn iterln<T: Print, I: Iterator<Item = T>>(&mut self, mut iter: I, delim: &str) {
		if let Some(v) = iter.next() {
			self.print(v);
			for v in iter {
				self.print(delim);
				self.print(v);
			}
		}
		self.print("\n");
	}
	pub fn flush(&mut self) {
		self.buf.flush().unwrap();
	}
}

impl Default for IO {
	fn default() -> Self {
		Self::new()
	}
}

pub trait Scan {
	type Output;
	fn scan(io: &mut IO) -> Self::Output;
}

macro_rules! impl_scan {
	($($t:tt),*) => {
		$(
			impl Scan for $t {
				type Output = Self;
				fn scan(s: &mut IO) -> Self::Output {
					s.scan_str().parse().unwrap()
				}
			}
		)*
	};
}

impl_scan!(i16, i32, i64, isize, u16, u32, u64, usize, String, f32, f64);

impl Scan for char {
	type Output = char;
	fn scan(s: &mut IO) -> Self::Output {
		s.scan_str().chars().next().unwrap()
	}
}

pub enum Bytes {}
impl Scan for Bytes {
	type Output = &'static [u8];
	fn scan(s: &mut IO) -> Self::Output {
		s.scan_str().as_bytes()
	}
}

pub enum Chars {}
impl Scan for Chars {
	type Output = Vec<char>;
	fn scan(s: &mut IO) -> Self::Output {
		s.scan_str().chars().collect()
	}
}

pub enum Usize1 {}
impl Scan for Usize1 {
	type Output = usize;
	fn scan(s: &mut IO) -> Self::Output {
		s.scan::<usize>().wrapping_sub(1)
	}
}

impl<T: Scan, U: Scan> Scan for (T, U) {
	type Output = (T::Output, U::Output);
	fn scan(s: &mut IO) -> Self::Output {
		(T::scan(s), U::scan(s))
	}
}

impl<T: Scan, U: Scan, V: Scan> Scan for (T, U, V) {
	type Output = (T::Output, U::Output, V::Output);
	fn scan(s: &mut IO) -> Self::Output {
		(T::scan(s), U::scan(s), V::scan(s))
	}
}

impl<T: Scan, U: Scan, V: Scan, W: Scan> Scan for (T, U, V, W) {
	type Output = (T::Output, U::Output, V::Output, W::Output);
	fn scan(s: &mut IO) -> Self::Output {
		(T::scan(s), U::scan(s), V::scan(s), W::scan(s))
	}
}

pub trait Print {
	fn print(w: &mut IO, x: Self);
}

macro_rules! impl_print_int {
	($($t:ty),*) => {
		$(
			impl Print for $t {
				fn print(w: &mut IO, x: Self) {
					w.buf.write_all(x.to_string().as_bytes()).unwrap();
				}
			}
		)*
	};
}

impl_print_int!(i16, i32, i64, isize, u16, u32, u64, usize, f32, f64);

impl Print for u8 {
	fn print(w: &mut IO, x: Self) {
		w.buf.write_all(&[x]).unwrap();
	}
}

impl Print for &[u8] {
	fn print(w: &mut IO, x: Self) {
		w.buf.write_all(x).unwrap();
	}
}

impl Print for &str {
	fn print(w: &mut IO, x: Self) {
		w.print(x.as_bytes());
	}
}

impl Print for String {
	fn print(w: &mut IO, x: Self) {
		w.print(x.as_bytes());
	}
}

impl<T: Print, U: Print> Print for (T, U) {
	fn print(w: &mut IO, (x, y): Self) {
		w.print(x);
		w.print(" ");
		w.print(y);
	}
}

impl<T: Print, U: Print, V: Print> Print for (T, U, V) {
	fn print(w: &mut IO, (x, y, z): Self) {
		w.print(x);
		w.print(" ");
		w.print(y);
		w.print(" ");
		w.print(z);
	}
}

mod neboccoio_macro {
	#[macro_export]
	macro_rules! input {
		(@start $io:tt @read @rest) => {};

		(@start $io:tt @read @rest, $($rest: tt)*) => {
			input!(@start $io @read @rest $($rest)*)
		};

		(@start $io:tt @read @rest mut $($rest:tt)*) => {
			input!(@start $io @read @mut [mut] @rest $($rest)*)
		};

		(@start $io:tt @read @rest $($rest:tt)*) => {
			input!(@start $io @read @mut [] @rest $($rest)*)
		};

		(@start $io:tt @read @mut [$($mut:tt)?] @rest $var:tt: [[$kind:tt; $len1:expr]; $len2:expr] $($rest:tt)*) => {
			let $($mut)* $var = (0..$len2).map(|_| $io.scan_vec::<$kind>($len1)).collect::<Vec<Vec<$kind>>>();
			input!(@start $io @read @rest $($rest)*)
		};

		(@start $io:tt @read @mut [$($mut:tt)?] @rest $var:tt: [$kind:tt; $len:expr] $($rest:tt)*) => {
			let $($mut)* $var = $io.scan_vec::<$kind>($len);
			input!(@start $io @read @rest $($rest)*)
		};

		(@start $io:tt @read @mut [$($mut:tt)?] @rest $var:tt: $kind:tt $($rest:tt)*) => {
			let $($mut)* $var = $io.scan::<$kind>();
			input!(@start $io @read @rest $($rest)*)
		};

		(from $io:tt $($rest:tt)*) => {
			input!(@start $io @read @rest $($rest)*)
		};
	}
}

// ------------ io module end ------------