結果
| 問題 |
No.1308 ジャンプビーコン
|
| コンテスト | |
| ユーザー |
 cotton_fn_
|
| 提出日時 | 2020-12-05 09:11:51 |
| 言語 | Rust (1.83.0 + proconio) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 14,935 bytes |
| コンパイル時間 | 23,950 ms |
| コンパイル使用メモリ | 377,232 KB |
| 実行使用メモリ | 73,344 KB |
| 最終ジャッジ日時 | 2024-09-15 13:24:42 |
| 合計ジャッジ時間 | 29,542 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge4 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 5 WA * 32 |
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, mut out: O) {
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 hld = Hld::new(&g, 1);
let mut dist = vec![vec![1 << 60; n + 1]; n + 1];
for u in 1..=n {
dist[u][u] = 0;
dfs(&g, &mut dist[u], u, 0);
}
let mut sum = vec![0; q];
for i in 1..q {
sum[i] = sum[i - 1] + dist[x[i - 1]][x[i]];
}
let mut dp = vec![0; q];
for i in 1..q {
dp[i] = dp[i - 1] + dist[x[i - 1]][x[i]];
for j in 1..i {
let (u, v, w) = (x[j - 1], x[j], x[i]);
let auv = hld.lca(u, v);
let auw = hld.lca(u, w);
let avw = hld.lca(v, w);
let z = if auw == w && avw == w {
// w
// |
// z
// / \
// u v
auv
} else if auv == u && auw == u {
avw
} else if auv == v && avw == v {
auw
} else {
w
};
dp[i] = dp[i].min(dp[j - 1] + (sum[i - 1] - sum[j - 1]) + c + dist[z][w]);
}
}
// eprintln!("{:?}", sum);
// eprintln!("{:?}", dp);
outln!(out, dp[q - 1]);
}
fn dfs(g: &LabeledGraph<i64>, dist: &mut [i64], u: usize, p: usize) {
for &(v, c) in &g[u] {
if v != p {
dist[v] = dist[u] + c;
dfs(g, dist, v, u);
}
}
}
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(),
}
}
}
#[derive(Debug)]
pub struct Hld {
head: Vec<usize>,
par: Vec<usize>,
tab: Vec<usize>,
}
pub type G = LabeledGraph<i64>;
impl Hld {
pub fn new(g: &G, root: usize) -> Self {
let mut heavy = vec![!0; g.len()];
Self::dfs_heavy(g, &mut heavy, &mut vec![1; g.len()], root, !0);
let mut hld = Hld {
head: Vec::with_capacity(g.len()),
par: Vec::with_capacity(g.len()),
tab: vec![0; g.len()],
};
hld.dfs_build(g, &heavy, root, !0, root);
hld
}
fn dfs_heavy(g: &G, heavy: &mut [usize], size: &mut [usize], u: usize, p: usize) {
let mut max = 0;
for v in g[u].iter().map(|a| a.0).filter(|&v| v != p) {
Self::dfs_heavy(g, heavy, size, v, u);
if size[v] > max {
max = size[v];
heavy[u] = v;
}
size[u] += size[v];
}
}
fn dfs_build(&mut self, g: &G, heavy: &[usize], u: usize, p: usize, h: usize) {
self.tab[u] = self.head.len();
self.head.push(h);
self.par.push(p);
if heavy[u] == !0 {
return;
}
self.dfs_build(g, heavy, heavy[u], u, h);
for v in g[u].iter().map(|a| a.0).filter(|&v| v != p && v != heavy[u]) {
self.dfs_build(g, heavy, v, u, v);
}
}
pub fn lca(&self, mut u: usize, mut v: usize) -> usize {
loop {
if self.tab[u] > self.tab[v] {
std::mem::swap(&mut u, &mut v);
}
if self.head[self.tab[u]] == self.head[self.tab[v]] {
return u;
}
v = self.par[self.tab[self.head[self.tab[v]]]];
}
}
}
// -----------------------------------------------------------------------------
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());
}
}
impl OutputItem for char {
fn output<O: Output>(self, dest: &mut O) {
self.encode_utf8(&mut [0u8; 4]).output(dest);
}
}
impl OutputItem for () {
fn output<O: Output>(self, _dest: &mut O) {}
}
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);
$out.byte(b' ');
out!($out, $($rest),*);
}}
}
#[macro_export]
macro_rules! outln {
($out:expr) => {{
$out.byte(b'\n');
$out.flush_debug();
}};
($out:expr, $($args:expr),*) => {{
out!($out, $($args),*);
outln!($out);
}}
}
#[macro_export]
macro_rules! kdbg {
($($v:expr),*) => {
if cfg!(debug_assertions) { dbg!($($v),*) } else { ($($v),*) }
}
}
}