#621148 (Rust) No.1054 Union add query

提出ソース
結果

問題	No.1054 Union add query
ユーザー	nebocco
提出日時	2021-02-22 18:24:20
言語	Rust (1.77.0 + proconio)
結果	AC
実行時間	90 ms / 2,000 ms
コード長	9,855 bytes
コンパイル時間	12,982 ms
コンパイル使用メモリ	378,212 KB
実行使用メモリ	22,200 KB
最終ジャッジ日時	2024-09-21 14:40:57
合計ジャッジ時間	16,861 ms
ジャッジサーバーID （参考情報）	judge5 / judge1
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テストケース

テストケース表示
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	1 ms 5,376 KB
testcase_02	AC	1 ms 5,376 KB
testcase_03	AC	62 ms 16,812 KB
testcase_04	AC	74 ms 22,200 KB
testcase_05	AC	58 ms 16,128 KB
testcase_06	AC	53 ms 18,452 KB
testcase_07	AC	45 ms 17,920 KB
testcase_08	AC	50 ms 18,688 KB
testcase_09	AC	90 ms 21,724 KB
testcase_10	AC	33 ms 18,136 KB
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ソースコード

raw source code
fn main() {
	let mut io = IO::new();
    input!{ from io,
		n: usize, q: usize,
		query:[(i32, usize, i32); q]
    }
	let mut puf = PotentializedUnionFind::<i32>::new(n+1);
	for &(t, u, b) in &query {
		if t == 1 {
			let v = b as usize;
			let p = puf.potential(u);
			let q = puf.potential(v);
			puf.unite(u, v, q - p).ok();
		} else if t == 2 {
			puf.weigh(u, b);
		} else {
			io.println(puf.potential(u));
		}
	}
}

// ------------ Potentialized UnionFind start ------------

#[derive(Clone, Debug)]
pub struct PotentializedUnionFind<T>{
    data: Vec<isize>,
    ws: Vec<T>
}

impl<T: Group> PotentializedUnionFind<T> {
    pub fn new(len: usize) -> Self {
        Self{
            data: vec![-1; len],
            ws: vec![T::zero(); len]
        }
    }

    pub fn find(&mut self, i: usize) -> usize {
        self._climb(i).0
    }

    pub fn size(&mut self, i: usize) -> usize {
        self._climb(i).1
    }

    pub fn potential(&mut self, i: usize) -> T {
        self._climb(i).2
    }

    /// potential[v] - potential[u] = w
    /// keep potential[u] unchanged
    pub fn unite(&mut self, u: usize, v: usize, mut w: T) -> Result<(), ()> {
        let (u, su, wu) = self._climb(u);
        let (v, sv, wv) = self._climb(v);
		if u == v {
			return if w == -wu + wv { Ok(()) } else { Err(()) };
		}
        w = -self.ws[u].clone() + wu + w + self.ws[v].clone() + -wv;
		if su < sv {
            self.data[v] += self.data[u];
            self.data[u] = v as isize;
            self.ws[v] = self.ws[u].clone() + w.clone();
            self.ws[u] = -w.clone();
        } else {
            self.data[u] += self.data[v];
            self.data[v] = u as isize;
            self.ws[v] = w.clone();
        }
        Ok(())
    }

    pub fn is_same(&mut self, u: usize, v:usize) -> bool {
        self.find(u) == self.find(v)
    }

    /// potential[v] - potential[u]
    pub fn diff(&mut self, u: usize, v: usize) -> Option<T> {
        let (u, _, wu) = self._climb(u);
        let (v, _, wv) = self._climb(v);
        if u == v {
            Some(-wu + wv)
        } else {
            None
        }
    }

    pub fn weigh(&mut self, u: usize, w: T) {
        let p = self.find(u);
        self.ws[p] = self.ws[p].clone() + w;
    }

    /// _climb(i) -> (root, group size, potential)
    fn _climb(&mut self, i: usize) -> (usize, usize, T) {
        assert!(i < self.data.len());
        let mut v = i;
        let mut w = T::zero();
        while self.data[v] >= 0 {
			w = self.ws[v].clone() + w;
            let p = self.data[v] as usize;
            if self.data[p] >= 0 {
                self.data[v] = self.data[p];
                self.ws[v] = self.ws[p].clone() + self.ws[v].clone();
            }
            v = p;
        }
        w = self.ws[v].clone() + w;
        (v, -self.data[v] as usize, w)
    }
}
// ------------ Potentialized UnionFind end ------------


// ------------ 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);

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);

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; $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 ------------
yukicoder

結果

テストケース

ソースコード
