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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#209965#7110. Kuririn MIRACLEPetroTarnavskyiRE 3ms4300kbC++171.6kb2023-10-10 20:30:542023-10-10 20:30:54

Judging History

你现在查看的是最新测评结果

  • [2023-10-10 20:30:54]
  • 评测
  • 测评结果:RE
  • 用时:3ms
  • 内存:4300kb
  • [2023-10-10 20:30:54]
  • 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);
const db EPS = 1e-9;

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 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);
		db si = sin(phi);
		db a = d - 2 * r - v * t;
		if (a < 0)
			continue;
		if (phi < PI / 2 && phi > EPS)
		{
			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;
}

详细

Test #1:

score: 100
Accepted
time: 3ms
memory: 4300kb

input:

1
2.00 3 30.0

output:

8.310579933906595

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: