QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#204114 | #7110. Kuririn MIRACLE | ucup-team484 | AC ✓ | 362ms | 3812kb | C++17 | 1.5kb | 2023-10-07 02:15:13 | 2023-10-07 02:15:13 |
Judging History
answer
#include <bits/stdc++.h>
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
using namespace std;
typedef long long ll;
typedef long double ld;
const int mod = 1e9 + 7;
const int N = 1e6 + 5;
const ld pi = acos(-1);
void solve() {
ld v, r, d; cin >> v >> r >> d;
ld ans = d / v;
ld tup = 2 * r / v * 1.3116414728929514370;
if (d - 4 * r - v * 2 * tup >= 0) {
auto g = [&](ld a) {
ld ca = cos(a);
return sqrt(3 + ca * ca) - ca;
};
auto g2 = [&](ld a) {
ld ca = cos(a);
return sqrt(3 + ca * ca);
};
auto int2 = [&](ld hi) {
int n = 100;
ld h = hi / n, ret = 0;
for (int i = 0; i <= n; i++) {
if (i < n)
ret += 2 * h / 3 * g2(i * h + h / 2);
ret += h / 6 * (1 + (i > 0 && i < n)) * g2(i * h);
// ret += h / 6 * (g2(i * h) + 4 * g2(i * h + h / 2) + g2((i + 1) * h));
}
return ret;
};
auto integrate = [&](ld hi) {
return (sin(hi) + int2(hi)) / 3;
};
auto f = [&](ld t) {
ld nd = max(2 * r, d - v * t);
ld a = asin(2 * r / nd);
ld tc = integrate(a) * 2 * r / v;
ld tl = sqrt(nd * nd - 4 * r * r) / (v * g(a));
return tl + tc <= t;
};
d -= 2 * r + v * tup;
ld lo = tup, hi = d / v;
for (int it = 0; it < 100; it++) {
ld m = (lo + hi) / 2;
if (f(m))
hi = m;
else
lo = m;
}
ans = tup + lo;
}
cout << fixed << setprecision(10) << ans << "\n";
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0);
int t; cin >> t; while (t--) solve();
}
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: 3812kb
input:
1 2.00 3 30.0
output:
8.3105799339
result:
ok found '8.3105799', expected '8.3105799', error '0.0000000'
Test #2:
score: 0
Accepted
time: 36ms
memory: 3772kb
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:
4.4578371227 5.4883608090 5.8486997636 1.1236802413 43.2664800535 8.3054901382 2.3773584906 4.0154859695 37.9481481481 18.6520618557 4.1551236436 27.1789630071 9.6254545455 63.3119266055 16.6138613861 15.0939944612 1.0171821306 6.9496235027 8.1504302992 8.8584474886 1.7697642164 4.5411392405 10.4731...
result:
ok 100 numbers
Test #3:
score: 0
Accepted
time: 362ms
memory: 3716kb
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:
5.7708826493 8.5674157303 6.2605042017 3.2858638743 4.3137673426 25.1764841721 1.9444444444 11.4062996164 6.8071912057 6.6006144393 10.7277125608 3.8001978448 7.4844843026 16.5100671141 3.7756970122 10.9157110705 3.5175276460 1.1753086420 6.0952874389 14.4431818182 8.4168240742 8.4894553076 6.028112...
result:
ok 1000 numbers
Extra Test:
score: 0
Extra Test Passed