QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#423466#7110. Kuririn MIRACLEucup-team3215AC ✓65ms3968kbC++201.7kb2024-05-28 03:12:162024-05-28 03:12:16

Judging History

你现在查看的是最新测评结果

  • [2024-05-28 03:12:16]
  • 评测
  • 测评结果:AC
  • 用时:65ms
  • 内存:3968kb
  • [2024-05-28 03:12:16]
  • 提交

answer

#include <array>
#include <cmath>
#include <iostream>

using namespace std;

double midpoint(double r, double d, double mt, double h, auto& deriv) {
  double x = 0, y = 0, t = 0, c = 1;
  auto mp = [&] {
    auto [dx, dy] = deriv(x, y, t);
    return deriv(x + dx * h * c / 2, y + dy * h * c / 2, t + h * c / 2);
  };
  while (1) {
    // cout << t << ' ' << x << ' ' << y << ' ' << (x - t - 2 * r) * (x - t - 2 * r) + y * y - 4 * r * r << '\n';
    if (t >= mt) return 1. / 0;
    if (c < 1e-9) return t + sqrt((x - d) * (x - d) + y * y) / 2;
    auto [dx, dy] = mp();
    auto nx = x + dx * h * c, ny = y + dy * h * c, nt = t + h * c;
    auto [ndx, ndy] = deriv(nx, ny, nt);
    if (ndy < 0 && nx - ny / ndy * ndx < d) { c /= 2; continue; }
    x = nx, y = ny, t = nt;
    double coef = sqrt(((x - t - 2 * r) * (x - t - 2 * r) + y * y) / (4 * r * r));
    if (abs(coef - 1) > 1e-12) {
      x = (t + 2 * r) + (x - t - 2 * r) / coef;
      y = y / coef;
    }
  }
}

int main() {
  cin.tie(0)->sync_with_stdio(0);
  for (int tc = (cin >> tc, tc); tc--; ) {
    double v, r, d; cin >> v >> r >> d;
    auto deriv = [&](double x, double y, double t) -> array<double, 2> {
      double dx = x - t - 2 * r;
      if (abs(dx) < y) {
        double r = -dx / y, rr = r * r;
        double ux = (rr + sqrt(3 * rr + 4)) / (1 + rr);
        return {ux, (ux - 1) * r};
      } else {
        double r = -y / dx, rr = r * r, d = sqrt(4 * rr + 3);
        double uy = (-r + (dx < 0? d: -d)) / (1 + rr);
        return {uy * r + 1, uy};
      }
    };
    cout.precision(20);
    double ans = d;
    if (d >= 7 * r) ans = min(ans, midpoint(r, d, d - 4 * r, (d - 4 * r) / 3e3, deriv));
    cout << ans / v << '\n';
  }
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3860kb

input:

1
2.00 3 30.0

output:

8.3105799515793652432

result:

ok found '8.3105800', expected '8.3105799', error '0.0000000'

Test #2:

score: 0
Accepted
time: 8ms
memory: 3860kb

input:

100
8.66 6.05 71.59
8.44 8.67 82.55
4.23 9.68 24.74
6.63 9.95 7.45
1.2 7.27 97.55
2.08 2.94 31.61
8.48 5.56 20.16
7.35 5.55 52.48
1.35 8.15 51.23
3.88 9.02 72.37
7.03 1.97 57.03
1.78 4.44 93.44
5.5 6.11 52.94
1.09 9.64 69.01
1.01 3.54 16.78
1.63 4.55 44.06
5.82 5.51 5.92
5.62 2.93 76.01
4.75 4.43 73...

output:

4.4578371326275219033
5.4883608263127854343
5.8486997635933795081
1.1236802413273001555
43.266480188691090802
8.3054901538916929837
2.3773584905660376521
4.0154859835479763674
37.948148148148142411
18.652061855670105217
4.1551237091334538576
27.178963252624445346
9.6254545454545450411
63.31192660550...

result:

ok 100 numbers

Test #3:

score: 0
Accepted
time: 65ms
memory: 3968kb

input:

1000
7.52 6.68 80.67
5.34 6.82 45.75
3.57 6.35 22.35
9.55 3.65 31.38
9.37 5.73 40.42
1.83 8.38 82.97
4.86 6.13 9.45
3.88 5.34 84.19
6.49 4.15 85.24
6.51 7.23 42.97
3.0 5.98 57.53
9.35 2.76 69.07
6.76 9.16 91.24
2.98 9.89 49.2
9.16 3.85 66.14
1.84 3.03 37.43
8.01 5.04 50.98
4.05 9.86 4.76
5.4 5.49 60...

output:

5.7708826627339471216
8.5674157303370783723
6.2605042016806731198
3.2858638743455492737
4.3137673425827109952
25.176484228321804437
1.9444444444444441977
11.406299670967996462
6.8071912642363310297
6.6006144393241168444
10.727712590845603913
3.8001978920279162466
7.4844843188457259586
16.51006711409...

result:

ok 1000 numbers

Extra Test:

score: 0
Extra Test Passed