結果
| 問題 |
No.1950 片道きゃっちぼーる
|
| コンテスト | |
| ユーザー |
akakimidori
|
| 提出日時 | 2022-05-20 22:15:40 |
| 言語 | Rust (1.83.0 + proconio) |
| 結果 |
AC
|
| 実行時間 | 123 ms / 3,000 ms |
| コード長 | 5,426 bytes |
| コンパイル時間 | 13,139 ms |
| コンパイル使用メモリ | 383,728 KB |
| 実行使用メモリ | 25,856 KB |
| 最終ジャッジ日時 | 2024-09-20 08:27:41 |
| 合計ジャッジ時間 | 16,411 ms |
|
ジャッジサーバーID (参考情報) |
judge5 / judge3 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| other | AC * 23 |
ソースコード
use std::io::Write;
fn run() {
input! {
n: usize,
x: [i64; n],
a: [i64; n],
}
let mut edge = vec![];
for i in 0..n {
let (p, q) = (x[i], a[i]);
for d in [-q, q].iter() {
let pos = p + *d;
if let Ok(k) = x.binary_search(&pos) {
edge.push((i, k));
}
}
}
let graph = CSR::new(n, edge.iter().cloned());
let (len, id) = strongly_connected_components(n, |v| graph.list(v));
let mut dp = vec![0; len];
let mut ord = (0..n).collect::<Vec<_>>();
ord.sort_by_key(|v| id[*v]);
for &v in ord.iter().rev() {
let p = id[v];
dp[p].chmax(x[v] + a[v]);
for u in graph.list(v) {
dp[p] = dp[p].max(dp[id[u]]);
}
}
let out = std::io::stdout();
let mut out = std::io::BufWriter::new(out.lock());
for i in 0..n {
let ans = dp[id[i]] - x[i];
writeln!(out, "{}", ans).ok();
}
}
fn main() {
run();
}
// ---------- begin CSR ----------
pub struct CSR {
size: usize,
pos: Vec<u32>,
list: Vec<u32>,
}
impl CSR {
pub fn new<I>(size: usize, it: I) -> Self
where
I: Iterator<Item = (usize, usize)> + Clone,
{
let mut pos = vec![0; size + 1];
for (s, t) in it.clone() {
assert!(s < size && t < size);
pos[s + 1] += 1;
}
for i in 1..=size {
pos[i] += pos[i - 1];
}
let mut x = pos[..size].to_vec();
let mut list = vec![0; pos[size] as usize];
for (s, t) in it {
let x = &mut x[s];
list[*x as usize] = t as u32;
*x += 1;
}
CSR { size, pos, list }
}
pub fn list(&self, v: usize) -> impl Iterator<Item = usize> + '_ {
assert!(v < self.size);
let s = self.pos[v] as usize;
let t = self.pos[v + 1] as usize;
self.list[s..t].iter().map(|p| *p as usize)
}
}
// ---------- end CSR ----------
// ---------- begin chmin, chmax ----------
pub trait ChangeMinMax {
fn chmin(&mut self, x: Self) -> bool;
fn chmax(&mut self, x: Self) -> bool;
}
impl<T: PartialOrd> ChangeMinMax for T {
fn chmin(&mut self, x: Self) -> bool {
*self > x && {
*self = x;
true
}
}
fn chmax(&mut self, x: Self) -> bool {
*self < x && {
*self = x;
true
}
}
}
// ---------- end chmin, chmax ----------
// ---------- begin scc ----------
pub fn strongly_connected_components<G, I>(size: usize, graph: G) -> (usize, Vec<usize>)
where
G: Fn(usize) -> I,
I: Iterator<Item = usize>,
{
let mut ord = vec![0; size];
let mut res = vec![0; size];
let mut vertex = vec![];
let mut dfs = vec![];
let mut id = 0;
for s in 0..size {
if ord[s] > 0 {
continue;
}
vertex.push(s);
ord[s] = vertex.len();
dfs.push((s, graph(s)));
while let Some((v, mut it)) = dfs.pop() {
(|| {
while let Some(u) = it.next() {
if ord[u] == 0 {
vertex.push(u);
ord[u] = vertex.len();
dfs.push((v, it));
dfs.push((u, graph(u)));
return;
}
}
let low = graph(v).map(|u| ord[u]).min().unwrap_or(ord[v]);
if low < ord[v] {
ord[v] = low;
return;
}
while let Some(u) = vertex.pop() {
ord[u] = !0;
res[u] = id;
if u == v {
break;
}
}
id += 1;
})();
}
}
res.iter_mut().for_each(|p| *p = id - 1 - *p);
(id, res)
}
// ---------- end scc ----------
// ---------- begin input macro ----------
// reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
#[macro_export]
macro_rules! input {
(source = $s:expr, $($r:tt)*) => {
let mut iter = $s.split_whitespace();
input_inner!{iter, $($r)*}
};
($($r:tt)*) => {
let s = {
use std::io::Read;
let mut s = String::new();
std::io::stdin().read_to_string(&mut s).unwrap();
s
};
let mut iter = s.split_whitespace();
input_inner!{iter, $($r)*}
};
}
#[macro_export]
macro_rules! input_inner {
($iter:expr) => {};
($iter:expr, ) => {};
($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
let $var = read_value!($iter, $t);
input_inner!{$iter $($r)*}
};
}
#[macro_export]
macro_rules! read_value {
($iter:expr, ( $($t:tt),* )) => {
( $(read_value!($iter, $t)),* )
};
($iter:expr, [ $t:tt ; $len:expr ]) => {
(0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
};
($iter:expr, chars) => {
read_value!($iter, String).chars().collect::<Vec<char>>()
};
($iter:expr, bytes) => {
read_value!($iter, String).bytes().collect::<Vec<u8>>()
};
($iter:expr, usize1) => {
read_value!($iter, usize) - 1
};
($iter:expr, $t:ty) => {
$iter.next().unwrap().parse::<$t>().expect("Parse error")
};
}
// ---------- end input macro ----------
akakimidori