結果
| 問題 |
No.96 圏外です。
|
| コンテスト | |
| ユーザー |
cotton_fn_
|
| 提出日時 | 2020-06-11 04:49:29 |
| 言語 | Rust (1.83.0 + proconio) |
| 結果 |
RE
|
| 実行時間 | - |
| コード長 | 7,623 bytes |
| コンパイル時間 | 17,749 ms |
| コンパイル使用メモリ | 402,736 KB |
| 実行使用メモリ | 16,140 KB |
| 最終ジャッジ日時 | 2024-06-24 02:43:21 |
| 合計ジャッジ時間 | 36,006 ms |
|
ジャッジサーバーID (参考情報) |
judge2 / judge4 |
(要ログイン)
| ファイルパターン | 結果 |
|---|---|
| other | AC * 6 RE * 22 |
ソースコード
#![allow(unused_imports, unused_macros)]
use kyoproio::*;
use std::{
collections::*,
io::{self, prelude::*},
iter,
mem::{replace, swap},
};
fn main() -> io::Result<()> {
std::thread::Builder::new()
.stack_size(64 * 1024 * 1024)
.spawn(solve)?
.join()
.unwrap();
Ok(())
}
fn solve() {
let stdin = io::stdin();
let mut kin = KInput::new(stdin.lock());
let stdout = io::stdout();
let mut out = io::BufWriter::new(stdout.lock());
macro_rules! output { ($($args:expr),+) => { write!(&mut out, $($args),+).unwrap(); }; }
macro_rules! outputln {
($($args:expr),+) => { output!($($args),+); outputln!(); };
() => { output!("\n"); if cfg!(debug_assertions) { out.flush().unwrap(); } }
}
let n: usize = kin.input();
if n == 0 {
outputln!("1");
return;
}
let ps: Vec<_> = kin
.iter::<(i32, i32)>()
.take(n)
.map(|(x, y)| [x, y])
.collect();
let map: HashMap<_, _> = ps.iter().enumerate().map(|(i, &p)| (p, i)).collect();
let mut uf = UnionFind::new(n);
for (i, &[x, y]) in ps.iter().enumerate() {
for dx in -10..=10 {
for dy in -10..=10 {
if dx * dx + dy * dy <= 100 {
if let Some(&j) = map.get(&[x + dx, y + dy]) {
uf.unite(i, j);
}
}
}
}
}
let mut comps = vec![Vec::new(); n];
for i in 0..n {
comps[uf.root(i)].push(ps[i]);
}
let mut max = 0;
for mut c in comps {
if !c.is_empty() {
// eprintln!("{:?}", &c);
let ([x1, y1], [x2, y2]) = farthest_pair(&mut c);
// eprintln!("{:?} - {:?}", c[i], c[j]);
let x = x2 - x1;
let y = y2 - y1;
max = max.max(x * x + y * y);
}
}
let ans = 2. + (max as f64).sqrt();
outputln!("{}", ans);
}
use std::ops;
pub fn graham_scan<T>(ps: &mut [[T; 2]]) -> Vec<[T; 2]>
where
T: PartialOrd + ops::Sub<Output = T> + ops::Mul<Output = T> + Copy,
{
ps.sort_by(|p1, p2| p1.partial_cmp(p2).unwrap());
let mut hull: Vec<[T; 2]> = Vec::new();
let mut len = 0;
let mut add = |[x, y]: [T; 2], len: &mut usize| {
while *len >= 2 {
let [x0, y0] = hull[hull.len() - 2];
let [x1, y1] = hull[hull.len() - 1];
if (x1 - x0) * (y - y0) >= (x - x0) * (y1 - y0) {
break;
}
hull.pop();
*len -= 1;
}
hull.push([x, y]);
*len += 1;
};
for &p in &*ps {
add(p, &mut len);
}
len = 1;
for &p in &ps[1..ps.len() - 1] {
add(p, &mut len);
}
hull
}
pub fn farthest_pair<T>(ps: &mut [[T; 2]]) -> ([T; 2], [T; 2])
where
T: PartialOrd + ops::Add<Output = T> + ops::Sub<Output = T> + ops::Mul<Output = T> + Copy,
{
let norm = |[x0, y0]: [T; 2], [x1, y1]: [T; 2]| (x1 - x0) * (x1 - x0) + (y1 - y0) * (y1 - y0);
let hull = graham_scan(ps);
let mut res = None;
let mut max = None;
let mut j = 0;
for &p in &hull {
let mut d = norm(p, hull[j]);
loop {
let j_inc = if j + 1 < hull.len() { j + 1 } else { 0 };
let d_inc = norm(p, hull[j_inc]);
if d >= d_inc {
break;
}
d = d_inc;
j = j_inc;
}
if Some(d) > max {
max = Some(d);
res = Some((p, hull[j]));
}
}
res.unwrap()
}
pub struct UnionFind {
p: Vec<isize>,
}
impl UnionFind {
pub fn new(n: usize) -> Self {
Self { p: vec![-1; n] }
}
pub fn root(&self, mut u: usize) -> usize {
while self.p[u] >= 0 {
u = self.p[u] as usize;
}
u
}
pub fn size(&self, u: usize) -> usize {
(-self.p[self.root(u)]) as usize
}
pub fn unite(&mut self, u: usize, v: usize) -> bool {
let mut u = self.root(u);
let mut v = self.root(v);
if u == v {
return false;
}
if self.p[u] > self.p[v] {
swap(&mut u, &mut v);
}
self.p[u] += self.p[v];
self.p[v] = u as isize;
true
}
pub fn is_same(&self, u: usize, v: usize) -> bool {
self.root(u) == self.root(v)
}
}
// -----------------------------------------------------------------------------
pub mod kyoproio {
use std::io::prelude::*;
pub trait Input {
fn str(&mut self) -> &str;
fn input<T: InputParse>(&mut self) -> T {
T::input(self)
}
fn iter<T: InputParse>(&mut self) -> Iter<T, Self> {
Iter(self, std::marker::PhantomData)
}
fn seq<T: InputParse, B: std::iter::FromIterator<T>>(&mut self, n: usize) -> B {
self.iter().take(n).collect()
}
}
pub struct KInput<R> {
src: R,
buf: String,
pos: usize,
}
impl<R: BufRead> KInput<R> {
pub fn new(src: R) -> Self {
Self {
src,
buf: String::with_capacity(1024),
pos: 0,
}
}
pub fn src(&mut self) -> &mut R {
&mut self.src
}
}
impl<R: BufRead> Input for KInput<R> {
fn str(&mut self) -> &str {
loop {
if self.pos >= self.buf.len() {
self.pos = 0;
self.buf.clear();
if self.src.read_line(&mut self.buf).expect("io error") == 0 {
return &self.buf;
}
}
let range = self.pos
..self.buf[self.pos..]
.find(|c: char| c.is_ascii_whitespace())
.map(|i| i + self.pos)
.unwrap_or_else(|| self.buf.len());
self.pos = range.end + 1;
if range.end > range.start {
return &self.buf[range];
}
}
}
}
pub struct Iter<'a, T, I: ?Sized>(&'a mut I, std::marker::PhantomData<*const T>);
impl<'a, T: InputParse, I: Input + ?Sized> Iterator for Iter<'a, T, I> {
type Item = T;
fn next(&mut self) -> Option<T> {
Some(self.0.input())
}
}
pub trait InputParse: Sized {
fn input<I: Input + ?Sized>(src: &mut I) -> Self;
}
impl InputParse for Vec<u8> {
fn input<I: Input + ?Sized>(src: &mut I) -> Self {
src.str().as_bytes().to_owned()
}
}
macro_rules! from_str_impl {
{ $($T:ty)* } => {
$(impl InputParse for $T {
fn input<I: Input + ?Sized>(src: &mut I) -> Self {
src.str().parse::<$T>().expect("parse error")
}
})*
}
}
from_str_impl! {
String char bool f32 f64 isize i8 i16 i32 i64 i128 usize u8 u16 u32 u64 u128
}
macro_rules! tuple_impl {
($H:ident $($T:ident)*) => {
impl<$H: InputParse, $($T: InputParse),*> InputParse 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_export]
macro_rules! kdbg {
($($v:expr),*) => {
if cfg!(debug_assertions) { dbg!($($v),*) } else { ($($v),*) }
}
}
}
cotton_fn_