結果

問題 No.2602 Real Collider
ユーザー to-omerto-omer
提出日時 2024-01-12 22:07:26
言語 Rust
(1.77.0)
結果
WA  
実行時間 -
コード長 30,229 bytes
コンパイル時間 1,894 ms
コンパイル使用メモリ 177,868 KB
実行使用メモリ 22,468 KB
最終ジャッジ日時 2024-01-12 22:07:43
合計ジャッジ時間 17,243 ms
ジャッジサーバーID
(参考情報)
judge13 / judge11
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
6,676 KB
testcase_01 AC 4 ms
6,676 KB
testcase_02 AC 4 ms
6,676 KB
testcase_03 AC 4 ms
6,676 KB
testcase_04 AC 4 ms
6,676 KB
testcase_05 AC 4 ms
6,676 KB
testcase_06 WA -
testcase_07 WA -
testcase_08 AC 4 ms
6,676 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 175 ms
10,292 KB
testcase_17 AC 192 ms
11,232 KB
testcase_18 WA -
testcase_19 WA -
testcase_20 AC 200 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 160 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 94 ms
7,040 KB
testcase_37 WA -
testcase_38 AC 194 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 133 ms
8,496 KB
testcase_46 WA -
testcase_47 WA -
testcase_48 AC 147 ms
9,012 KB
testcase_49 WA -
testcase_50 AC 96 ms
6,676 KB
testcase_51 WA -
testcase_52 AC 71 ms
6,676 KB
testcase_53 WA -
testcase_54 AC 138 ms
8,512 KB
testcase_55 AC 153 ms
9,404 KB
testcase_56 WA -
testcase_57 AC 141 ms
8,640 KB
testcase_58 AC 53 ms
6,676 KB
testcase_59 WA -
testcase_60 AC 131 ms
9,416 KB
testcase_61 AC 112 ms
7,520 KB
testcase_62 AC 176 ms
10,720 KB
testcase_63 AC 190 ms
11,968 KB
testcase_64 WA -
testcase_65 AC 114 ms
7,432 KB
testcase_66 WA -
testcase_67 AC 84 ms
6,676 KB
testcase_68 AC 98 ms
6,784 KB
testcase_69 AC 66 ms
6,676 KB
testcase_70 AC 86 ms
6,676 KB
testcase_71 WA -
testcase_72 AC 170 ms
10,284 KB
testcase_73 AC 142 ms
8,664 KB
testcase_74 WA -
testcase_75 AC 189 ms
11,248 KB
testcase_76 WA -
testcase_77 AC 171 ms
10,288 KB
testcase_78 WA -
testcase_79 AC 170 ms
10,756 KB
testcase_80 AC 200 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] - p[2];
        let m = (p[i] + p[2]) / 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("bin367DEB2E");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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";
0