結果

問題 No.2909 Imaginary Summer
ユーザー ArcAki
提出日時 2024-09-27 22:12:53
言語 Rust
(1.83.0 + proconio)
結果
AC  
実行時間 266 ms / 6,000 ms
コード長 6,519 bytes
コンパイル時間 14,528 ms
コンパイル使用メモリ 379,536 KB
実行使用メモリ 31,432 KB
最終ジャッジ日時 2024-10-02 17:42:41
合計ジャッジ時間 20,363 ms
ジャッジサーバーID
(参考情報)
judge3 / judge4
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 37
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#[allow(unused_imports)]
use std::{collections::{HashSet, HashMap, BTreeSet, BTreeMap, BinaryHeap, VecDeque}, cmp::{Reverse, PartialOrd, Ordering, max, min}, mem::swap};
macro_rules! input {
(source = $s:expr, $($r:tt)*) => {
let mut iter = $s.split_whitespace();
let mut next = || { iter.next().unwrap() };
input_inner!{next, $($r)*}
};
($($r:tt)*) => {
let stdin = std::io::stdin();
let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock()));
let mut next = move || -> String{
bytes
.by_ref()
.map(|r|r.unwrap() as char)
.skip_while(|c|c.is_whitespace())
.take_while(|c|!c.is_whitespace())
.collect()
};
input_inner!{next, $($r)*}
};
}
macro_rules! input_inner {
($next:expr) => {};
($next:expr, ) => {};
($next:expr, $var:ident : $t:tt $($r:tt)*) => {
let $var = read_value!($next, $t);
input_inner!{$next $($r)*}
};
}
macro_rules! read_value {
($next:expr, ( $($t:tt),* )) => {
( $(read_value!($next, $t)),* )
};
($next:expr, [ $t:tt ; $len:expr ]) => {
(0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
};
($next:expr, chars) => {
read_value!($next, String).chars().collect::<Vec<char>>()
};
($next:expr, usize1) => {
read_value!($next, usize) - 1
};
($next:expr, $t:ty) => {
$next().parse::<$t>().expect("Parse error")
};
}
#[derive(Debug, PartialEq, PartialOrd)]
struct OrderedFloat(f64);
impl Eq for OrderedFloat {}
impl Ord for OrderedFloat {
fn cmp(&self, other: &Self) -> Ordering{
self.partial_cmp(&other).unwrap()
}
}
const INF: i64 = 1<<60;
#[derive(Debug, Copy, Clone)]
struct KDNode{
point: (i64, i64),
left: Option<usize>,
right: Option<usize>,
axis: usize,
mi1: i64,
mx1: i64,
mi2: i64,
mx2: i64,
}
pub struct KDTree{
tree: Vec<KDNode>,
}
impl KDTree {
pub fn new() -> Self{
KDTree {tree: Vec::new()}
}
pub fn build(&mut self, points: &mut Vec<(i64, i64)>, d: usize)->Option<usize>{
if points.is_empty(){return None;}
let (mut mi1, mut mx1, mut mi2, mut mx2) = (INF, -INF, INF, -INF);
for i in 0..points.len(){
mi1 = mi1.min(points[i].0);
mx1 = mx1.max(points[i].0);
mi2 = mi2.min(points[i].1);
mx2 = mx2.max(points[i].1);
}
let sort = points;
let axis = if mx1-mi1 >= mx2-mi2{0} else {1};
if axis==0{
sort.sort_by(|a, b| a.0.cmp(&b.0));
} else {
sort.sort_by(|a, b| a.1.cmp(&b.1));
}
let m =sort.len()/2;
let mp = sort[m].clone();
let ind = self.tree.len();
self.tree.push(KDNode{
point: mp,
left: None, right: None,
axis,
mi1, mx1, mi2, mx2
});
let left = self.build(&mut sort[..m].to_vec(), d+1);
self.tree[ind].left = left;
let right = self.build(&mut sort[m+1..].to_vec(), d+1);
self.tree[ind].right = right;
Some(ind)
}
pub fn query(&mut self, t: &(i64, i64), i: Option<usize>, res: &mut ((i64, i64), i64)){
//println!("query: {:?} {:?} {:?}", t, i, res);
if let Some(idx) = i{
let node = self.tree[idx].point.clone();
let axis = self.tree[idx].axis;
let dist = dist_calc(&node, t);
if dist < res.1{
*res = (node.clone(), dist);
}
let (nex, other) = if (axis==0&&t.0 < node.0)||(axis==1&&t.1 < node.1){
(self.tree[idx].left, self.tree[idx].right)
} else {
(self.tree[idx].right, self.tree[idx].left)
};
if let Some(n_idx) = nex{
self.query(t, Some(n_idx), res);
}
if let Some(n_ind) = other{
let (mix, mxx, miy, mxy) = (self.tree[n_ind].mi1, self.tree[n_ind].mx1, self.tree[n_ind].mi2, self.tree[n_ind].mx2);
let ad = possible_dist(t.0, t.1, mix, mxx, miy, mxy);
if ad < res.1{
self.query(t, Some(n_ind), res);
}
}
}
}
}
fn possible_dist(p: i64, q: i64, mix: i64, mxx: i64, miy: i64, mxy: i64)->i64{
let (mix, mxx, miy, mxy) = (mix, mxx, miy, mxy);
let f1 = mix <= p && p <= mxx;
let f2 = miy <= q && q <= mxy;
let x = if f1{0} else if p <= mix {mix-p} else {p-mxx};
let y = if f2{0} else if q <= miy {miy-q} else {q-mxy};
return x*x+y*y
}
fn dist_calc(p: &(i64, i64), q: &(i64, i64))->i64{
let (x1, y1) = p;
let (x2, y2) = q;
(x1-x2)*(x1-x2)+(y1-y2)*(y1-y2)
}
fn dijkstra(n: usize, v: f64, p: usize, edge: &Vec<Vec<usize>>, s: &Vec<(i64, i64)>)->Vec<f64>{
let mut time = vec![1e60; n];
time[p] = 0.;
let mut used = vec![false; n];
let mut heap = BinaryHeap::new();
heap.push(Reverse((OrderedFloat(0.), p)));
while let Some(Reverse((OrderedFloat(w), x))) = heap.pop(){
if used[x]{continue}
used[x] = true;
time[x] = w;
for &nex in &edge[x]{
if used[nex]{continue}
let dx = (dist_calc(&s[nex], &s[x]) as f64).sqrt()/v;
if time[nex] > w+dx{
heap.push(Reverse((OrderedFloat(w+dx), nex)));
}
}
}
time
}
fn main() {
input!{
n: usize, m: usize, k: usize,
p: (i64, i64),
s: [(i64, i64); n],
t: [(i64, i64); k],
v: f64,
e: [(usize1, usize1); m],
}
let mut s = s.clone();
let mut edge = vec![Vec::new(); n];
for &(u, v) in &e{
edge[u].push(v);
edge[v].push(u);
}
let mut dic = HashMap::new();
let mut ans = 0.;
let mut kdtree = KDTree::new();
kdtree.build(&mut s, 0);
let mut hotel = ((0, 0), INF);
kdtree.query(&p, Some(0), &mut hotel);
for i in 0..n{
dic.insert((s[i].0, s[i].1), i);
}
let ss = dic[&hotel.0];
let pre = (dist_calc(&p, &s[ss])as f64).sqrt();
let time = dijkstra(n, v, ss, &edge, &s);
for i in 0..k{
let mut res = ((0, 0), INF);
kdtree.query(&t[i], Some(0), &mut res);
let d1 = (dist_calc(&t[i], &res.0) as f64).sqrt();
let sub = time[dic[&res.0]];
ans += ((dist_calc(&p, &t[i]) as f64).sqrt().min(d1+sub+pre))*2.;
}
println!("{}", ans);
}
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