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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#162161 | #7110. Kuririn MIRACLE | ucup-team1198# | TL | 241ms | 191488kb | C++20 | 1.9kb | 2023-09-03 05:23:58 | 2023-09-03 05:23:59 |
Judging History
answer
#include <bits/stdc++.h>
#pragma GCC optimize("fast-math")
using namespace std;
#define ll long long
#define pii pair<int, int>
#define ld long double
#define all(a) (a).begin(), (a).end()
const ld pi = atan2l(1, 0) * 2;
const int T = 4000000;
ld pre3sin[T];
ld presin[T];
ld precos[T];
ld get_dphi(int phi, ld u, ld r) {
return (- u * presin[phi] + sqrtl(u * u * pre3sin[phi])) / (2 * r);
}
ld rush(int phi, ld r, ld v, ld d, ld t) {
d -= 2 * r + t * v;
ld x = - 2 * r * precos[phi];
ld y = 2 * r * presin[phi];
ld x1 = d - x;
ld y1 = y;
ld l = sqrtl(x1 * x1 + y1 * y1);
ld fac = 2 * v / l;
x1 *= fac;
y1 *= fac;
x1 -= v;
if (x1 * x > y * y1 - 1e-7) {
// cerr << l << '\n';
return l / (2 * v);
} else {
return -1;
}
}
void solve() {
ld u, r, d;
// u = 2.0;
// r = 3;
// d = 30;
cin >> u >> r >> d;
ld cur_t = 0;
for (int i = 0; i < T; ++i) {
// cur phi = pi * i / T
if (cur_t * u > (d - 2 * r)) {
break;
}
if (i * 2 > T) {
ld ost = rush(i, r, u, d, cur_t);
if (ost >= 0) {
// cerr <<
cout << min(cur_t + ost, (d - r) / u) << '\n';
return;
}
}
ld dphi = get_dphi(i, u, r); // at further point better
cur_t += pi / T / dphi;
// ld phi = pi * i / T;
// cerr << phi / pi * 180 << '\n';
// cerr << cur_t << '\n';
}
cout << (d - r) / u << '\n';
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
for (int i = 0; i < T; ++i) {
presin[i] = sinl(pi * i / T);
precos[i] = cosl(pi * i / T);
pre3sin[i] = presin[i] * presin[i] + 3;
}
cout << fixed << setprecision(15);
int t = 1000;
cin >> t;
while (t--) solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 241ms
memory: 191488kb
input:
1 2.00 3 30.0
output:
8.310579782626437
result:
ok found '8.3105798', expected '8.3105799', error '0.0000000'
Test #2:
score: -100
Time 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...