QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#162232 | #7110. Kuririn MIRACLE | ucup-team1198# | WA | 229ms | 97640kb | C++20 | 2.1kb | 2023-09-03 06:53:02 | 2023-09-03 06:53:02 |
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 = 6000000;
ld get_dphi(ld phi, ld u, ld r) {
ld sinp = sinl(phi);
return (- u * sinp + sqrtl(u * u * (sinp * sinp + 3))) / (2 * r);
}
ld tphi[T + 2];
void precalc() {
ld cur_t = 0;
for (int i = 0; i < T; ++i) {
ld phi = pi * i / T;
ld dphi = get_dphi(phi, 1, 1); // at further point better
cur_t += pi / T / dphi;
tphi[i + 1] = cur_t;
}
}
ld get(ld phi, ld v, ld r) {
ld prop = phi / pi * T;
int i = floor(prop);
return r / v * (tphi[i] * (1 - (prop - i)) + tphi[i + 1] * (prop - i));
}
double rush(ld phi, ld r, ld v, ld d, ld t) {
d -= 2 * r + t * v;
ld x = - 2 * r * cosl(phi);
ld y = 2 * r * sinl(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;
if (get(pi, u, r) * u <= d - 4 * r) {
ld lp = pi / 2;
ld rp = pi;
for (int i = 0; i < 300; ++i) {
ld mp = (lp + rp) / 2;
ld t = get(mp, u, r);
if (rush(mp, r, u, d, t) >= 0) {
rp = mp;
} else {
lp = mp;
}
}
ld t = get(rp, u, r);
cout << t + rush(rp, r, u, d, t) << '\n';
} else {
cout << d / u << '\n';
}
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
precalc();
// 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: 221ms
memory: 97628kb
input:
1 2.00 3 30.0
output:
8.310579833053071
result:
ok found '8.3105798', expected '8.3105799', error '0.0000000'
Test #2:
score: -100
Wrong Answer
time: 229ms
memory: 97640kb
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:
4.457837058773628 5.488360760481143 5.848699763593381 1.123680241327300 43.266479455766437 8.305490022942589 2.377358490566038 4.015485937452041 37.948148148148148 18.652061855670103 4.155123612965618 27.178962738953046 9.625454545454545 63.311926605504587 16.613861386138614 15.093994304674969 1.017...
result:
wrong answer 39th numbers differ - expected: '5.3370511', found: '2.7511452', error = '0.4845196'