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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#209955#7110. Kuririn MIRACLEPetroTarnavskyiRE 3ms4412kbC++171.4kb2023-10-10 20:23:382023-10-10 20:23:39

Judging History

你现在查看的是最新测评结果

  • [2023-10-10 20:23:39]
  • 评测
  • 测评结果:RE
  • 用时:3ms
  • 内存:4412kb
  • [2023-10-10 20:23:38]
  • 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 double db;

const int M = 40000;
const db PI = acos(-1.0);

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 si = sin(phi);
		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);
		if (phi < PI / 2)
		{
			db a = d - 2 * r - v * t;
			if (a < 0)
				continue;
			db l = sqrt(4 * r * r + a * a - 4 * r * a * cos(phi));
			db siBeta = 2 * r * si / l;
			assert(0 <= siBeta && siBeta < 1);
			db beta = asin(siBeta);
			if (phi + beta <= PI / 2 && 2 * cos(phi + beta) >= cos(phi))
			{
				ans = min(ans, t + l / (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: 4412kb

input:

1
2.00 3 30.0

output:

8.310579933909324

result:

ok found '8.3105799', expected '8.3105799', error '0.0000000'

Test #2:

score: -100
Runtime Error

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:


result: