結果

問題 No.2602 Real Collider
ユーザー to-omerto-omer
提出日時 2024-01-12 22:16:41
言語 Rust
(1.77.0)
結果
WA  
実行時間 -
コード長 30,157 bytes
コンパイル時間 1,887 ms
コンパイル使用メモリ 177,156 KB
実行使用メモリ 22,468 KB
最終ジャッジ日時 2024-01-12 22:17:02
合計ジャッジ時間 16,881 ms
ジャッジサーバーID
(参考情報)
judge15 / judge12
このコードへのチャレンジ
(要ログイン)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 4 ms
6,548 KB
testcase_01 AC 4 ms
6,548 KB
testcase_02 AC 4 ms
6,548 KB
testcase_03 AC 4 ms
6,548 KB
testcase_04 AC 4 ms
6,548 KB
testcase_05 AC 4 ms
6,548 KB
testcase_06 WA -
testcase_07 WA -
testcase_08 AC 4 ms
6,548 KB
testcase_09 WA -
testcase_10 WA -
testcase_11 AC 145 ms
9,092 KB
testcase_12 WA -
testcase_13 WA -
testcase_14 WA -
testcase_15 WA -
testcase_16 AC 172 ms
10,292 KB
testcase_17 AC 191 ms
11,232 KB
testcase_18 WA -
testcase_19 WA -
testcase_20 AC 202 ms
13,088 KB
testcase_21 WA -
testcase_22 WA -
testcase_23 WA -
testcase_24 WA -
testcase_25 WA -
testcase_26 AC 96 ms
7,308 KB
testcase_27 WA -
testcase_28 AC 158 ms
11,116 KB
testcase_29 WA -
testcase_30 WA -
testcase_31 WA -
testcase_32 WA -
testcase_33 WA -
testcase_34 AC 164 ms
10,532 KB
testcase_35 WA -
testcase_36 AC 92 ms
7,040 KB
testcase_37 WA -
testcase_38 AC 193 ms
11,520 KB
testcase_39 WA -
testcase_40 WA -
testcase_41 WA -
testcase_42 AC 165 ms
9,980 KB
testcase_43 AC 152 ms
10,272 KB
testcase_44 WA -
testcase_45 AC 130 ms
8,496 KB
testcase_46 WA -
testcase_47 WA -
testcase_48 AC 145 ms
9,012 KB
testcase_49 WA -
testcase_50 AC 96 ms
6,548 KB
testcase_51 WA -
testcase_52 AC 72 ms
6,548 KB
testcase_53 WA -
testcase_54 AC 136 ms
8,512 KB
testcase_55 AC 151 ms
9,404 KB
testcase_56 WA -
testcase_57 AC 140 ms
8,640 KB
testcase_58 AC 53 ms
6,548 KB
testcase_59 WA -
testcase_60 AC 128 ms
9,416 KB
testcase_61 AC 111 ms
7,520 KB
testcase_62 AC 175 ms
10,720 KB
testcase_63 AC 187 ms
11,968 KB
testcase_64 WA -
testcase_65 AC 112 ms
7,432 KB
testcase_66 WA -
testcase_67 AC 84 ms
6,548 KB
testcase_68 AC 99 ms
6,784 KB
testcase_69 AC 67 ms
6,548 KB
testcase_70 AC 83 ms
6,548 KB
testcase_71 WA -
testcase_72 AC 168 ms
10,284 KB
testcase_73 AC 141 ms
8,664 KB
testcase_74 WA -
testcase_75 AC 190 ms
11,248 KB
testcase_76 WA -
testcase_77 AC 170 ms
10,288 KB
testcase_78 WA -
testcase_79 AC 171 ms
10,756 KB
testcase_80 AC 195 ms
12,280 KB
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 #

code!{
pub fn solve() {
    crate::prepare!();
    sc!(n, p: [P; const 3], q: [P; n]);
    let p = p.map(|p| Complex::new(Rational::new(p.re, 1), Rational::new(p.im, 1)));
    let q: Vec<_> = q
        .into_iter()
        .map(|p| Complex::new(Rational::new(p.re, 1), Rational::new(p.im, 1)))
        .collect();
    let mut mat = Matrix::<Rational<i128>>::zeros((2, 2));
    let mut b = vec![Rational::new(0, 1); 2];
    for i in 0..2 {
        let a = p[i + 1] - p[0];
        let m = (p[i + 1] + p[0]) / Rational::new(2, 1);
        mat[i][0] = a.re;
        mat[i][1] = a.im;
        b[i] = m.re * a.re + m.im * a.im;
    }
    let c = if let Some(c) = mat.solve_system_of_linear_equations(&b) {
        Complex::new(c[0], c[1])
    } else {
        let a = p.into_iter().min().unwrap();
        let b = p.into_iter().max().unwrap();
        (a + b) / Rational::new(2, 1)
    };
    let r2 = p.map(|p| (p - c).norm()).into_iter().max().unwrap();
    for q in q {
        let ans = (q - c).norm() <= r2;
        pp!(if ans { "Yes" } else { "No" });
    }
}
type P = Complex<i128>;
}
fn main()->std::io::Result<()>{use std::{env::temp_dir,fs::File,io::Write,process::{exit,Command}};let e=temp_dir().join("binAA80FF5F");let mut b=Vec::with_capacity(B.len()*8/6);let mut x=0;let mut t=vec![64;256];for i in 0..64{t[b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"[i]as usize]=i as u8;}for(i,c)in B.iter().map(|&c|t[c as usize]).filter(|&c|c<64).enumerate(){x=match i%4{0=>c<<2,1=>{b.push(x|c>>4);c<<4}2=>{b.push(x|c>>2);c<<6}_=>{b.push(x|c);0}}}Write::write_all(&mut File::create(&e)?,&b)?;#[cfg(unix)]std::fs::set_permissions(&e,std::os::unix::fs::PermissionsExt::from_mode(0o755))?;exit(Command::new(&e).status()?.code().unwrap())}#[macro_export]macro_rules!code{($($t:tt)*)=>{}}const B:&[u8]=b"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";
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