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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#209975 | #7110. Kuririn MIRACLE | PetroTarnavskyi | TL | 836ms | 4244kb | C++17 | 1.5kb | 2023-10-10 20:38:33 | 2023-10-10 20:38:33 |
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 = 400000;
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;
phi += dt * f(phi);
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: 10ms
memory: 4176kb
input:
1 2.00 3 30.0
output:
8.310576414006437
result:
ok found '8.3105764', expected '8.3105799', error '0.0000004'
Test #2:
score: 0
Accepted
time: 836ms
memory: 4244kb
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:
4.457834650909218 5.488359107464506 5.848699763593380 1.123680241327300 43.266454357736990 8.305485979043274 2.377358490566038 4.015484838745667 37.948148148148142 18.652061855670105 4.155120883729960 27.178945351900254 9.625454545454545 63.311926605504588 16.613861386138616 15.093989009710338 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...