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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#209898#7110. Kuririn MIRACLEPetroTarnavskyi#TL 18ms3932kbC++171.4kb2023-10-10 19:13:192023-10-10 19:13:19

Judging History

你现在查看的是最新测评结果

  • [2023-10-10 19:13:19]
  • 评测
  • 测评结果:TL
  • 用时:18ms
  • 内存:3932kb
  • [2023-10-10 19:13:19]
  • 提交

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...

result: