結果

問題 No.807 umg tours
ユーザー nebocco
提出日時 2021-03-03 20:00:00
言語 Rust
(1.83.0 + proconio)
結果
AC  
実行時間 736 ms / 4,000 ms
コード長 11,469 bytes
コンパイル時間 20,923 ms
コンパイル使用メモリ 376,912 KB
実行使用メモリ 122,052 KB
最終ジャッジ日時 2024-10-03 08:45:29
合計ジャッジ時間 26,955 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge4
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other AC * 26
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ソースコード

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プレゼンテーションモードにする

fn main() {
    let mut io = IO::new();
    input!{ from io,
        n: usize, m: usize,
        ed: [(Usize1, Usize1, i64); m]
    }
    let mut g = DirectedGraph::new(n * 2);
    for i in 0..n {
        g.add_edge(i, i+n, 0);
    }
    for &(u, v, c) in &ed {
        g.add_edge(u, v, c);
        g.add_edge(u+n, v+n, c);
        g.add_edge(v, u, c);
        g.add_edge(v+n, u+n, c);
        g.add_edge(u, v+n, 0);
        g.add_edge(v, u+n, 0);
    }
    let dist = dijkstra_heap(&g, 0);
    io.iterln((0..n).map(|i| dist[i] + dist[i+n]), "\n");
}
#[allow(clippy::many_single_char_names)]
pub fn dijkstra_heap<C: Cost, G: Graph<C>>(g: &G, s: usize) -> Vec<C> {
    let n = g.size();
    let mut dist = vec![C::MAX; n];
    let mut depth = vec![std::usize::MAX; n];
    let mut parent = vec![std::usize::MAX; n];
    let mut que = std::collections::BinaryHeap::new();
    dist[s] = C::zero();
    depth[s] = 0;
    que.push((C::zero(), s));
    while let Some((d, u)) = que.pop() {
        let d = -d;
        if dist[u] < d { continue; }
        for e in g.edges_from(u) {
            let v = e.to;
            let d2 = d + e.cost;
            if dist[v] > d2 {
                dist[v] = d2;
                depth[v] = depth[u] + 1;
                parent[v] = u;
                que.push((-d2, v));
            }
        }
    }
    dist
}
// ------------ Graph impl start ------------
pub trait Cost:
    Element
    + Clone + Copy + std::fmt::Display
    + Eq + Ord
    + Zero + One
    + Add<Output = Self> + AddAssign
    + Sub<Output = Self>
    + Neg<Output = Self>
{
    const MAX: Self;
}
#[derive(Copy, Clone)]
pub struct Edge<C = Void> {
    // pub from: usize,
    pub to: usize,
    pub cost: C,
    pub id: usize
}
pub struct UndirectedGraph<C>(pub Vec<Vec<Edge<C>>>, pub usize);
pub struct DirectedGraph<C>{
    pub forward: Vec<Vec<Edge<C>>>,
    pub backward: Vec<Vec<Edge<C>>>,
    pub count: usize,
}
pub trait Graph<C: Element> {
    fn new(size: usize) -> Self;
    fn size(&self) -> usize;
    fn add_edge(&mut self, u: usize, v: usize, cost: C);
    fn edges_from(&self, v: usize) -> std::slice::Iter<Edge<C>>;
}
impl<C: Element> Graph<C> for UndirectedGraph<C> {
    fn new(size: usize) -> Self {
        Self(vec![Vec::<Edge<C>>::new(); size], 0)
    }
    fn size(&self) -> usize {
        self.0.len()
    }
    fn add_edge(&mut self, u: usize, v: usize, cost: C) {
        self.0[u].push(Edge{ to: v, cost: cost.clone(), id: self.1 });
        self.0[v].push(Edge{ to: u, cost: cost.clone(), id: self.1 });
        self.1 += 1;
    }
    fn edges_from(&self, v: usize) -> std::slice::Iter<Edge<C>> {
        self.0[v].iter()
    }
}
impl<C: Element> Graph<C> for DirectedGraph<C> {
    fn new(size: usize) -> Self {
        Self {
            forward: vec![Vec::<Edge<C>>::new(); size],
            backward: vec![Vec::<Edge<C>>::new(); size],
            count: 0
        }
    }
    fn size(&self) -> usize {
        self.forward.len()
    }
    fn add_edge(&mut self, u: usize, v: usize, cost: C) {
        self.forward[u].push(Edge{ to: v, cost: cost.clone(), id: self.count });
        self.backward[v].push(Edge{ to: u, cost: cost.clone(), id: self.count });
        self.count += 1;
    }
    fn edges_from(&self, v: usize) -> std::slice::Iter<Edge<C>> {
        self.forward[v].iter()
    }
}
impl<C: Element> DirectedGraph<C> {
    pub fn edges_to(&self, u: usize) -> std::slice::Iter<Edge<C>> {
        self.backward[u].iter()
    }
    pub fn reverse(&self) -> Self {
        Self {
            forward: self.backward.clone(),
            backward: self.forward.clone(),
            count: self.count,
        }
    }
}
macro_rules! impl_cost {
    ($($T:ident,)*) => {
        $(
            impl Cost for $T { const MAX: Self = std::$T::MAX; }
        )*
    };
}
impl_cost! {
    i8, i16, i32, i64, i128, isize,
}
#[derive(Clone, Copy, PartialEq, Eq, PartialOrd, Ord)]
pub struct Void();
impl std::fmt::Display for Void {
    fn fmt(&self, f: &mut std::fmt::Formatter) -> std::fmt::Result {
        write!(f, "")
    }
}
impl Zero for Void {
    fn zero() -> Self { Void() }
    fn is_zero(&self) -> bool { true }
}
impl One for Void {
    fn one() -> Self { Void() }
    fn is_one(&self) -> bool { true }
}
impl Add for Void {
    type Output = Self;
    fn add(self, _: Self) -> Self { Void() }
}
impl AddAssign for Void {
    fn add_assign(&mut self, _: Self) {}
}
impl Sub for Void {
    type Output = Self;
    fn sub(self, _: Self) -> Self { Void() }
}
impl Neg for Void {
    type Output = Self;
    fn neg(self) -> Self { Void() }
}
impl Cost for Void { const MAX: Self = Void(); }
// ------------ Graph impl 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 $t {
                type Output = Self;
                fn scan(s: &mut IO) -> Self::Output {
                    s.scan_str().parse().unwrap()
                }
            }
        )*
    };
}
impl_scan!(i16, i32, i64, isize, u16, u32, u64, usize, String, f32, f64);
pub enum Bytes {}
impl Scan for Bytes {
    type Output = &'static [u8];
    fn scan(s: &mut IO) -> Self::Output {
        s.scan_str().as_bytes()
    }
}
pub enum Chars {}
impl Scan for Chars {
    type Output = Vec<char>;
    fn scan(s: &mut IO) -> Self::Output {
        s.scan_str().chars().collect()
    }
}
pub enum Usize1 {}
impl Scan for Usize1 {
    type Output = usize;
    fn scan(s: &mut IO) -> Self::Output {
        s.scan::<usize>().wrapping_sub(1)
    }
}
impl<T: Scan, U: Scan> Scan for (T, U) {
    type Output = (T::Output, U::Output);
    fn scan(s: &mut IO) -> Self::Output {
        (T::scan(s), U::scan(s))
    }
}
impl<T: Scan, U: Scan, V: Scan> Scan for (T, U, V) {
    type Output = (T::Output, U::Output, V::Output);
    fn scan(s: &mut IO) -> Self::Output {
        (T::scan(s), U::scan(s), V::scan(s))
    }
}
impl<T: Scan, U: Scan, V: Scan, W: Scan> Scan for (T, U, V, W) {
    type Output = (T::Output, U::Output, V::Output, W::Output);
    fn scan(s: &mut IO) -> Self::Output {
        (T::scan(s), U::scan(s), V::scan(s), W::scan(s))
    }
}
pub trait Print {
    fn print(w: &mut IO, x: Self);
}
macro_rules! impl_print_int {
    ($($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; $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 ------------
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