QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#162199 | #7110. Kuririn MIRACLE | ucup-team1198# | WA | 741ms | 159904kb | C++20 | 2.0kb | 2023-09-03 06:30:53 | 2023-09-03 06:30:55 |
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 = 20000000;
ld get_dphi(ld phi, ld u, ld r) {
ld sinp = sinl(phi);
return (- u * sinp + sqrtl(u * u * (sinp * sinp + 3))) / (2 * r);
}
double 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));
}
long 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-8) {
// cerr << l << '\n';
return l / (2 * v);
} else {
return -1;
}
}
void solve() {
ld u, r, d;
cin >> u >> r >> d;
if (5.246565891571807L * r <= 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 + max((ld)0, 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();
cout << fixed << setprecision(15);
// cout << get(pi, 1, 1) << '\n';
int t = 1000;
cin >> t;
while (t--) solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 741ms
memory: 159848kb
input:
1 2.00 3 30.0
output:
8.310579903650451
result:
ok found '8.3105799', expected '8.3105799', error '0.0000000'
Test #2:
score: -100
Wrong Answer
time: 736ms
memory: 159904kb
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:
4.457837103548061 5.488360794442070 5.848699763593381 1.123680241327300 43.266479874204259 8.305490103625902 2.377358490566038 4.015485959893929 37.948148148148148 18.652061855670103 4.155123634393019 27.178962926642404 9.625454545454545 63.311926605504587 16.613861386138614 15.093994414213707 1.017...
result:
wrong answer 39th numbers differ - expected: '5.3370511', found: '3.7511454', error = '0.2971502'