結果

問題 No.2602 Real Collider
ユーザー to-omerto-omer
提出日時 2024-01-12 22:03:23
言語 Rust
(1.77.0)
結果
WA  
実行時間 -
コード長 29,832 bytes
コンパイル時間 737 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 22:03:40
合計ジャッジ時間 16,205 ms
ジャッジサーバーID
(参考情報)
judge12 / judge14
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 3 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 141 ms
9,092 KB
testcase_12 WA -
testcase_13 WA -
testcase_14 WA -
testcase_15 WA -
testcase_16 AC 170 ms
10,292 KB
testcase_17 AC 192 ms
11,232 KB
testcase_18 WA -
testcase_19 WA -
testcase_20 AC 198 ms
13,088 KB
testcase_21 WA -
testcase_22 WA -
testcase_23 WA -
testcase_24 WA -
testcase_25 WA -
testcase_26 AC 95 ms
7,308 KB
testcase_27 WA -
testcase_28 AC 155 ms
11,116 KB
testcase_29 WA -
testcase_30 WA -
testcase_31 WA -
testcase_32 WA -
testcase_33 WA -
testcase_34 AC 159 ms
10,532 KB
testcase_35 WA -
testcase_36 AC 93 ms
7,040 KB
testcase_37 WA -
testcase_38 AC 191 ms
11,520 KB
testcase_39 WA -
testcase_40 WA -
testcase_41 WA -
testcase_42 AC 162 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 136 ms
8,512 KB
testcase_55 AC 148 ms
9,404 KB
testcase_56 WA -
testcase_57 AC 138 ms
8,640 KB
testcase_58 AC 53 ms
6,676 KB
testcase_59 WA -
testcase_60 AC 128 ms
9,416 KB
testcase_61 AC 110 ms
7,520 KB
testcase_62 AC 172 ms
10,720 KB
testcase_63 AC 187 ms
11,968 KB
testcase_64 WA -
testcase_65 AC 110 ms
7,432 KB
testcase_66 WA -
testcase_67 AC 81 ms
6,676 KB
testcase_68 AC 99 ms
6,784 KB
testcase_69 AC 67 ms
6,676 KB
testcase_70 AC 82 ms
6,676 KB
testcase_71 WA -
testcase_72 AC 169 ms
10,284 KB
testcase_73 AC 141 ms
8,664 KB
testcase_74 WA -
testcase_75 AC 187 ms
11,248 KB
testcase_76 WA -
testcase_77 AC 167 ms
10,288 KB
testcase_78 WA -
testcase_79 AC 171 ms
10,756 KB
testcase_80 AC 191 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[0] - c).norm();
    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("bin934ABB27");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