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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#209905#7110. Kuririn MIRACLEPetroTarnavskyi#TL 13ms3940kbC++171.3kb2023-10-10 19:15:242023-10-10 19:15:27

Judging History

你现在查看的是最新测评结果

  • [2023-10-10 19:15:27]
  • 评测
  • 测评结果:TL
  • 用时:13ms
  • 内存:3940kb
  • [2023-10-10 19:15:24]
  • 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 = 300000;
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)
				break;
			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;
			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: 13ms
memory: 3940kb

input:

1
2.00 3 30.0

output:

8.310579934172733

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:

4.457837122568744
5.488360809158241
5.848699763593381
1.123680241327300
43.266480055671420
8.305490138505555
2.377358490566038
4.015485969628912
37.948148148148148
12.329253056613546
4.155123643083389
27.178963004813194
5.845689064167147
47.654666560861409
16.613861386138614
15.093994461615489
1.017...

result: