#591337 (Rust) No.1308 ジャンプビーコン

• 問題: No.1308 ジャンプビーコン
• ユーザー: cotton_fn_
• 提出日時: 2020-12-09 22:36:47
• 言語: Rust (1.77.0 + proconio)
• 結果: MLE
• 実行時間: -
• コード長: 13,987 bytes
• コンパイル時間: 16,800 ms
• コンパイル使用メモリ: 379,364 KB
• 実行使用メモリ: 815,744 KB
• 最終ジャッジ日時: 2024-09-19 05:12:25
• 合計ジャッジ時間: 17,637 ms
• ジャッジサーバーID （参考情報）: judge3 / 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	1 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	2 ms; 5,376 KB
testcase_08	AC	5 ms; 5,760 KB
testcase_09	AC	6 ms; 5,760 KB
testcase_10	AC	5 ms; 5,632 KB
testcase_11	AC	6 ms; 5,760 KB
testcase_12	AC	5 ms; 5,760 KB
testcase_13	AC	265 ms; 217,728 KB
testcase_14	AC	273 ms; 217,856 KB
testcase_15	AC	277 ms; 217,728 KB
testcase_16	AC	283 ms; 217,600 KB
testcase_17	AC	276 ms; 217,728 KB
testcase_18	MLE	-
testcase_19	--	-
testcase_20	--	-
testcase_21	--	-
testcase_22	--	-
testcase_23	--	-
testcase_24	--	-
testcase_25	--	-
testcase_26	--	-
testcase_27	--	-
testcase_28	--	-
testcase_29	--	-
testcase_30	--	-
testcase_31	--	-
testcase_32	--	-
testcase_33	--	-
testcase_34	--	-
testcase_35	--	-
testcase_36	--	-
testcase_37	--	-
testcase_38	--	-
testcase_39	--	-

ソースコード

#![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, out: O) {
    let mut out = KOutput::new(out);

    let (n, q, c): (usize, usize, i64) = kin.input();
    let mut g = LabeledGraph::builder(n + 1);
    for (u, v, l) in kin.iter::<(usize, usize, i64)>().take(n - 1) {
        g.edge(u, v, l);
        g.edge(v, u, l);
    }
    let g = g.build();
    let x: Vec<usize> = kin.seq(q);
    let mut dist = vec![vec![i64::max_value(); n + 1]; n + 1];
    let mut que = VecDeque::new();
    for s in 1..=n {
        dist[s][s] = 0;
        que.push_back(s);
        while let Some(u) = que.pop_front() {
            for &(v, l) in &g[u] {
                let d = dist[s][u] + l;
                if d < dist[s][v] {
                    dist[s][v] = d;
                    que.push_back(v);
                }
            }
        }
    }
    let mut h = LabeledGraph::builder(2 * n * q + 2);
    for i in 0..q {
        let t = 2 * n * i;
        for u in 1..=n {
            // u <-> v
            for &(v, l) in &g[u] {
                h.edge(t + u, t + v, l);
                h.edge(t + v, t + u, l);
            }
            // u -> x[i + 1], set a beacon
            if i < q - 1 {
                h.edge(t + u, t + 3 * n + u, dist[u][x[i + 1]]);
            }
        }
        for v in 1..=n {
            // x[i] -> v, jump to the beacon
            h.edge(t + n + v, t + v, c);
            // x[i] -> x[i + 1]
            if i < q - 1 {
                h.edge(t + n + v, t + 3 * n + v, dist[x[i]][x[i + 1]]);
            }
            // x[i] -> x[i], discard the beacon
            h.edge(t + n + v, t + x[i], 0);
        }
    }
    let h = h.build();
    let mut que = BinaryHeap::new();
    que.push((0, x[0]));
    let mut dist = vec![i64::max_value(); 2 * n * q + 2];
    dist[x[0]] = 0;
    while let Some((d, u)) = que.pop() {
        let d = -d;
        if d > dist[u] {
            continue;
        }
        for &(v, l) in &h[u] {
            let dv = dist[u] + l;
            if dv < dist[v] {
                dist[v] = dv;
                que.push((-dv, v));
            }
        }
    }
    let ans = dist[2 * n * (q - 1) + x[q - 1]];
    outln!(out, ans);
}

pub struct Graph(LabeledGraph<()>);
impl Graph {
    pub fn builder(n: usize) -> GraphBuilder {
        GraphBuilder(LabeledGraph::builder(n))
    }
    pub fn len(&self) -> usize {
        self.0.len()
    }
}
impl std::ops::Index<usize> for Graph {
    type Output = [usize];
    fn index(&self, u: usize) -> &Self::Output {
        unsafe { std::mem::transmute(self.0.index(u)) }
    }
}
pub struct GraphBuilder(LabeledGraphBuilder<()>);
impl GraphBuilder {
    pub fn edge(&mut self, u: usize, v: usize) {
        self.0.edge(u, v, ());
    }
    pub fn build(&mut self) -> Graph {
        Graph(self.0.build())
    }
}
pub struct LabeledGraph<T> {
    edges: Box<[(usize, T)]>,
    heads: Box<[usize]>,
}
impl<T: Clone> LabeledGraph<T> {
    pub fn builder(n: usize) -> LabeledGraphBuilder<T> {
        LabeledGraphBuilder {
            nodes: Vec::new(),
            heads: vec![!0; n],
        }
    }
    pub fn len(&self) -> usize {
        self.heads.len() - 1
    }
}
impl<T> std::ops::Index<usize> for LabeledGraph<T> {
    type Output = [(usize, T)];
    fn index(&self, u: usize) -> &Self::Output {
        &self.edges[self.heads[u]..self.heads[u + 1]]
    }
}
pub struct LabeledGraphBuilder<T> {
    nodes: Vec<((usize, T), usize)>,
    heads: Vec<usize>,
}
impl<T: Clone> LabeledGraphBuilder<T> {
    pub fn edge(&mut self, u: usize, v: usize, l: T) {
        self.nodes.push(((v, l), self.heads[u]));
        self.heads[u] = self.nodes.len() - 1;
    }
    pub fn build(&mut self) -> LabeledGraph<T> {
        let mut edges = Vec::with_capacity(self.nodes.len());
        let mut heads = Vec::with_capacity(self.heads.len() + 1);
        for &(mut h) in &self.heads {
            heads.push(edges.len());
            while let Some((e, next)) = self.nodes.get(h) {
                edges.push(e.clone());
                h = *next;
            }
        }
        heads.push(edges.len());
        LabeledGraph {
            edges: edges.into(),
            heads: heads.into(),
        }
    }
}


// -----------------------------------------------------------------------------
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 n = self.src.read(&mut self.buf[self.len..]).unwrap();
            self.len += n;
            n
        }
    }
    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 {
        ($($T:ty)*) => {
            $(impl InputItem for $T {
                fn input<I: Input + ?Sized>(src: &mut I) -> Self {
                    src.str().parse::<$T>().unwrap()
                }
            })*
        }
    }
    from_str!(String char bool f32 f64);
    macro_rules! parse_int {
        ($($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 $U)
                }
            })*
        };
    }
    parse_int!(isize:usize i8:u8 i16:u16 i32:u32 i64:u64 i128:u128);
    macro_rules! tuple {
        ($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!($($T)*);
        };
        () => {}
    }
    tuple!(A B C D E F G);
    macro_rules! array {
        ($($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!(1 2 3 4 5 6 7 8);

    pub struct KOutput<W: Write> {
        dest: W,
        delim: bool,
    }
    impl<W: Write> KOutput<W> {
        pub fn new(dest: W) -> Self {
            Self { dest, delim: false }
        }
        pub fn bytes(&mut self, s: &[u8]) {
            self.dest.write_all(s).unwrap();
        }
        pub fn byte(&mut self, b: u8) {
            self.bytes(slice::from_ref(&b));
        }
        pub fn output<T: OutputItem>(&mut self, x: T) {
            if self.delim {
                self.byte(b' ');
            }
            self.delim = true;
            x.output(self);
        }
        pub fn ln(&mut self) {
            self.delim = false;
            self.byte(b'\n');
            self.flush_debug();
        }
        pub fn inner(&mut self) -> &mut W {
            &mut self.dest
        }
        pub fn seq<T: OutputItem, I: IntoIterator<Item = T>>(&mut self, iter: I) {
            for x in iter.into_iter() {
                self.output(x);
            }
        }
        pub fn flush(&mut self) {
            self.dest.flush().unwrap();
        }
        pub fn flush_debug(&mut self) {
            if cfg!(debug_assertions) {
                self.flush();
            }
        }
    }
    pub trait OutputItem {
        fn output<W: Write>(self, dest: &mut KOutput<W>);
    }
    impl OutputItem for &str {
        fn output<W: Write>(self, dest: &mut KOutput<W>) {
            dest.bytes(self.as_bytes());
        }
    }
    impl OutputItem for char {
        fn output<W: Write>(self, dest: &mut KOutput<W>) {
            self.encode_utf8(&mut [0; 4]).output(dest);
        }
    }
    macro_rules! output_fmt {
        ($($T:ty)*) => {
            $(impl OutputItem for $T {
                fn output<W: Write>(self, dest: &mut KOutput<W>) {
                    write!(dest.inner(), "{}", self).unwrap();
                }
            })*
        }
    }
    output_fmt!(f32 f64);
    macro_rules! output_int {
        ($conv:ident; $U:ty; $($T:ty)*) => {
            $(impl OutputItem for $T {
                fn output<W: Write>(self, dest: &mut KOutput<W>) {
                    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<W: Write>(self, dest: &mut KOutput<W>) {
                    (*self).output(dest);
                }
            })*
        };
    }
    output_int!(i64_to_bytes; i64; isize i8 i16 i32 i64);
    output_int!(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, $($args:expr),*) => {{ $($out.output($args);)* }};
    }
    #[macro_export]
    macro_rules! outln {
        ($out:expr) => { $out.ln(); };
        ($out:expr, $($args:expr),*) => {{
            out!($out, $($args),*);
            outln!($out);
        }}
    }
    #[macro_export]
    macro_rules! kdbg {
        ($($v:expr),*) => { if cfg!(debug_assertions) { dbg!($($v),*) } else { ($($v),*) } }
    }
}