QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#423471 | #7110. Kuririn MIRACLE | ucup-team3215 | AC ✓ | 63ms | 3980kb | C++20 | 1.7kb | 2024-05-28 03:13:56 | 2024-05-28 03:13:57 |
Judging History
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;
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) return t + sqrt((x - d) * (x - d) + y * y) / 2;
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
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3980kb
input:
1 2.00 3 30.0
output:
8.3105799515690144119
result:
ok found '8.3105800', expected '8.3105799', error '0.0000000'
Test #2:
score: 0
Accepted
time: 7ms
memory: 3872kb
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:
4.4578371326066887903 5.4883608260459340045 5.8486997635933795081 1.1236802413273001555 43.266480188031835041 8.3054901538913945558 2.3773584905660376521 4.0154859835453393657 37.948148148148142411 18.652061855670105217 4.1551237091193460316 27.178963251905436493 9.6254545454545450411 63.31192660550...
result:
ok 100 numbers
Test #3:
score: 0
Accepted
time: 63ms
memory: 3812kb
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:
5.7708826627241158747 8.5674157303370783723 6.2605042016806731198 3.2858638743455492737 4.3137673425827109952 25.176484228200326498 1.9444444444444441977 11.406299670953215397 6.8071912642228200596 6.6006144393241168444 10.727712590845285945 3.8001978916612921822 7.4844843188425143055 16.51006711409...
result:
ok 1000 numbers
Extra Test:
score: 0
Extra Test Passed