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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#361612#8505. Almost Aligneducup-team635#WA 649ms86740kbRust3.7kb2024-03-23 12:01:162024-03-23 12:01:17

Judging History

你现在查看的是最新测评结果

  • [2024-03-23 12:01:17]
  • 评测
  • 测评结果:WA
  • 用时:649ms
  • 内存:86740kb
  • [2024-03-23 12:01:16]
  • 提交

answer

use std::collections::*;
use std::io::Write;

type Map<K, V> = BTreeMap<K, V>;
type Set<T> = BTreeSet<T>;
type Deque<T> = VecDeque<T>;

fn main() {
    input! {
        n: usize,
        p: [(i64, i64, i64, i64); n],
    }
    let mut l = CHT::new(p.iter().map(|p| (-p.2, -p.0)).collect());
    let mut r = CHT::new(p.iter().map(|p| (p.2, p.0)).collect());
    let mut d = CHT::new(p.iter().map(|p| (-p.3, -p.1)).collect());
    let mut u = CHT::new(p.iter().map(|p| (p.3, p.1)).collect());
    let mut x = vec![0f64];
    x.extend(l.enumerate());
    x.extend(r.enumerate());
    x.extend(d.enumerate());
    x.extend(u.enumerate());
    x.sort_by(|a, b| a.partial_cmp(b).unwrap());
    x.retain(|x| *x >= 0f64);
    let mut ans = std::f64::MAX;
    for x in x {
        ans = ans.min((r.find(x) + l.find(x)) * (u.find(x) + d.find(x)));
    }
    println!("{:.10}", ans);
}

// max cht
struct CHT {
    po: usize,
    line: Vec<(i64, i64)>, // (a, b) ax + b
}

impl CHT {
    fn new(mut line: Vec<(i64, i64)>) -> Self {
        line.sort();
        line.dedup_by(|a, b| a.0 == b.0);
        let mut stack = vec![line[0]];
        for &(a, b) in line[1..].iter() {
            while stack.len() >= 2 {
                let len = stack.len();
                let (c, d) = stack[len - 1];
                let (e, f) = stack[len - 2];
                //if (d - b) / (a - c) <= (
                if (d - b) * (a - e) <= (f - b) * (a - c) {
                    stack.pop();
                } else {
                    break;
                }
            }
            stack.push((a, b));
        }
        Self { line: stack, po: 0 }
    }
    fn find(&mut self, x: f64) -> f64 {
        let find = |k: usize| -> f64 {
            let (a, b) = self.line[k];
            a as f64 * x + b as f64
        };
        let mut po = self.po;
        while po + 1 < self.line.len() && find(po) <= find(po + 1) {
            po += 1;
        }
        let res = find(po);
        self.po = po;
        res
    }
    fn enumerate(&self) -> Vec<f64> {
        self.line.windows(2).map(|line| {
            let (a, b) = line[0];
            let (c, d) = line[1];
            (b - d) as f64 / (c - a) as f64
        }).collect()
    }
}

// ---------- 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 ----------

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 2076kb

input:

4
0 0 10 10
0 0 10 10
10 10 -10 -10
10 0 -20 0

output:

22.2222222222

result:

ok found '22.222222222', expected '22.222222222', error '0.000000000'

Test #2:

score: 0
Accepted
time: 0ms
memory: 2136kb

input:

3
0 -1 0 2
1 1 1 1
-1 1 -1 1

output:

0.0000000000

result:

ok found '0.000000000', expected '0.000000000', error '-0.000000000'

Test #3:

score: 0
Accepted
time: 0ms
memory: 2232kb

input:

3
0 -1 0 -2
1 1 1 1
-1 1 -1 1

output:

4.0000000000

result:

ok found '4.000000000', expected '4.000000000', error '0.000000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 2228kb

input:

1
0 0 0 0

output:

0.0000000000

result:

ok found '0.000000000', expected '0.000000000', error '-0.000000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 2112kb

input:

4
1000000 1000000 -1 -1000000
1000000 -1000000 -1000000 1
-1000000 -1000000 1 1000000
-1000000 1000000 1000000 -1

output:

3999984000032.0000000000

result:

ok found '3999984000032.000000000', expected '3999984000032.000000000', error '0.000000000'

Test #6:

score: -100
Wrong Answer
time: 649ms
memory: 86740kb

input:

1000000
-871226 486657 -467526 31395
-65837 846554 469710 -907814
927993 -45099 713462 -276539
261942 483255 746021 811070
63449 -779486 588838 -413687
812070 -87868 -813499 -420768
112521 -622607 -832012 921368
-182120 517379 -401743 -837524
-685985 337832 643014 135144
12895 326935 -495720 930620
...

output:

3999984000012.0000000000

result:

wrong answer 1st numbers differ - expected: '3999996000000.0000000', found: '3999984000012.0000000', error = '0.0000030'