QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#423466 | #7110. Kuririn MIRACLE | ucup-team3215 | AC ✓ | 65ms | 3968kb | C++20 | 1.7kb | 2024-05-28 03:12:16 | 2024-05-28 03:12:16 |
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;
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
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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