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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#209898 | #7110. Kuririn MIRACLE | PetroTarnavskyi# | TL | 18ms | 3932kb | C++17 | 1.4kb | 2023-10-10 19:13:19 | 2023-10-10 19:13:19 |
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 long double db;
const int M = 400000;
const db PI = acos(-1.0);
void solve()
{
db v, r, d;
cin >> v >> r >> d;
db ans = d / v;
const db dt = ans / M;
db phiP = PI - v / (2 * r) * sqrt(3) * dt, phiPP = PI;
FOR(i, 2, M + 1)
{
db t = i * dt;
db siP = sin(phiP);
db der = -v / (2 * r) * (sqrt(3 + siP * siP) - siP);
db phi = phiPP + 2 * dt * der;
if (phi < PI / 2)
{
db a = d - 2 * r - v * t;
if (a < 0)
continue;
db si = sin(phi), co = cos(phi);
db l = sqrt(4 * r * r + a * a - 4 * r * a * co);
db siBeta = 2 * r * si / l;
assert(0 <= siBeta && siBeta < 1);
db beta = asin(siBeta);
if (2 * cos(phi + beta) >= co)
{
ans = min(ans, t + l / (2 * v));
break;
}
}
phiPP = phiP;
phiP = phi;
}
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: 18ms
memory: 3932kb
input:
1 2.00 3 30.0
output:
8.310579934056235
result:
ok found '8.3105799', 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...
output:
4.457837122642398 5.488360808947108 5.848699763593381 1.123680241327300 43.266480052393111 8.305490138373823 2.377358490566038 4.015485969577706 37.948148148148148 12.329269748273686 4.155123643298988 27.178963005805229 5.845669000522307 47.654598211789173 16.613861386138614 15.093994461415715 1.017...