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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#209972 | #7110. Kuririn MIRACLE | PetroTarnavskyi | TL | 248ms | 4396kb | C++17 | 1.7kb | 2023-10-10 20:36:34 | 2023-10-10 20:36:35 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define RFOR(i, a, b) for(int i = (a) - 1; i >= (b); i--)
#define SZ(a) int(a.size())
#define ALL(a) a.begin(), a.end()
#define PB push_back
#define MP make_pair
#define F first
#define S second
typedef long long LL;
typedef vector<int> VI;
typedef pair<int, int> PII;
typedef double db;
const int M = 40000;
const db PI = acos(-1.0);
const db EPS = 1e-7;
db v, r, d;
db f(db phi)
{
db si = sin(phi);
return -v / (2 * r) * (sqrt(3 + si * si) - si);
}
void solve()
{
cin >> v >> r >> d;
db ans = d / v;
db phi = PI;
const db dt = ans / M;
FOR(i, 1, M + 1)
{
db t = i * dt;
db k1 = f(phi), k2 = f(phi + dt / 2 * k1), k3 = f(phi + dt / 2 * k2),
k4 = f(phi + dt * k3);
phi += dt / 6 * (k1 + 2 * k2 + 2 * k3 + k4);
db si = sin(phi), co = cos(phi);
db a = d - 2 * r - v * t, b = a - 2 * r * co;
if (abs(b) < EPS && phi < EPS)
{
ans = t;
break;
}
if (b < -EPS)
break;
if (phi < PI / 2)
{
db l = sqrt(4 * r * r + a * a - 4 * r * a * cos(phi));
db siBeta = 2 * r * si / l;
assert(0 <= siBeta && siBeta < 1 + EPS);
db beta = asin(min(1.0, siBeta));
if (phi + beta <= PI / 2 && 2 * cos(phi + beta) >= cos(phi))
{
ans = min(ans, t + l / (2 * v));
break;
}
}
else if (phi < EPS)
{
ans = t + a / (2 * v);
break;
}
}
cout << ans << "\n";
//cerr << ans - 8.310579933902352 << "\n";
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
cout << fixed << setprecision(15);
int t;
cin >> t;
while (t--)
solve();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 3ms
memory: 4172kb
input:
1 2.00 3 30.0
output:
8.310579933906594
result:
ok found '8.3105799', expected '8.3105799', error '0.0000000'
Test #2:
score: 0
Accepted
time: 248ms
memory: 4396kb
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:
4.457837122737101 5.488360808996865 5.848699763593380 1.123680241327300 43.266480053535147 8.305490138204618 2.377358490566038 4.015485969511906 37.948148148148142 18.652061855670105 4.155123643576228 27.178963007080721 9.625454545454545 63.311926605504588 16.613861386138616 15.093994461158863 1.017...
result:
ok 100 numbers
Test #3:
score: -100
Time Limit Exceeded
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:
5.770882649252492 8.567415730337078 6.260504201680673 3.285863874345549 4.313767342582711 25.176484172057862 1.944444444444444 11.406299616371948 6.807191205656825 6.600614439324117 10.727712560828959 3.800197844820431 7.484484302631077 16.510067114093960 3.775697012154807 10.915711070455629 3.51752...