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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#166621 | #7110. Kuririn MIRACLE | ucup-team045 | ML | 1ms | 4340kb | C++20 | 1.8kb | 2023-09-06 15:38:57 | 2023-09-06 15:38:57 |
Judging History
answer
#include<iostream>
#include<cstring>
#include<vector>
#include<cmath>
#include<iomanip>
using namespace std;
using LL = long long;
const double PI = acos(-1);
double v, R, d;
double f(double x){
double sinx = sin(x);
return 1 / v / (sqrt(sinx * sinx + 3) - sinx);
}
const double eps = 1e-9;
double simpson(double l, double r){
double mid = (l + r) / 2;
return (r - l) * (f(l) + 4 * f(mid) + f(r)) / 6;
}
double asr(double l, double r, double eps, double st) {
double mid = (l + r) / 2;
double sl = simpson(l, mid);
double sr = simpson(mid, r);
if (abs(sl + sr - st) <= 15 * eps)
return sl + sr + (sl + sr - st) / 15;
return asr(l, mid, eps / 2, sl) + asr(mid, r, eps / 2, sr);
}
double asr(double l, double r) {
return asr(l, r, eps, simpson(l, r));
}
int main(){
#ifdef LOCAL
freopen("data.in", "r", stdin);
freopen("data.out", "w", stdout);
#endif
cin.tie(0);
cout.tie(0);
ios::sync_with_stdio(0);
cout << fixed << setprecision(20);
int T;
cin >> T;
while(T--){
cin >> v >> R >> d;
auto check = [&](double mid){
double l = d - v * mid;
if (l + eps < 4 * R) return false;
double a = PI - acos(2 * R / (l - 2 * R));
double ans = asr(0, a) * 2 * R;
double dist = sqrt((l - 2 * R) * (l - 2 * R) - 4 * R * R);
ans += dist * f(a);
return ans <= mid;
};
double l = 0, r = (d - 4 * R) / v;
double ans = d / v;
if (l < r){
for(int i = 0; i < 100; i++){
double mid = (l + r) / 2;
if (check(mid)) r = mid;
else l = mid;
}
if (check(r)) ans = min(ans, r);
}
cout << ans << '\n';
}
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 4340kb
input:
1 2.00 3 30.0
output:
8.31057993390141724888
result:
ok found '8.3105799', expected '8.3105799', error '0.0000000'
Test #2:
score: -100
Memory Limit Exceeded
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...