QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#209972#7110. Kuririn MIRACLEPetroTarnavskyiTL 248ms4396kbC++171.7kb2023-10-10 20:36:342023-10-10 20:36:35

Judging History

你现在查看的是最新测评结果

  • [2023-10-10 20:36:35]
  • 评测
  • 测评结果:TL
  • 用时:248ms
  • 内存:4396kb
  • [2023-10-10 20:36:34]
  • 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-7;

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), co = cos(phi);
		db a = d - 2 * r - v * t, b = a - 2 * r * co;
		if (abs(b) < EPS && phi < EPS)
		{
			ans = t;
			break;
		}
		if (b < -EPS)
			break;
		if (phi < PI / 2)
		{
			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;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 4172kb

input:

1
2.00 3 30.0

output:

8.310579933906594

result:

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

Test #2:

score: 0
Accepted
time: 248ms
memory: 4396kb

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:

4.457837122737101
5.488360808996865
5.848699763593380
1.123680241327300
43.266480053535147
8.305490138204618
2.377358490566038
4.015485969511906
37.948148148148142
18.652061855670105
4.155123643576228
27.178963007080721
9.625454545454545
63.311926605504588
16.613861386138616
15.093994461158863
1.017...

result:

ok 100 numbers

Test #3:

score: -100
Time Limit Exceeded

input:

1000
7.52 6.68 80.67
5.34 6.82 45.75
3.57 6.35 22.35
9.55 3.65 31.38
9.37 5.73 40.42
1.83 8.38 82.97
4.86 6.13 9.45
3.88 5.34 84.19
6.49 4.15 85.24
6.51 7.23 42.97
3.0 5.98 57.53
9.35 2.76 69.07
6.76 9.16 91.24
2.98 9.89 49.2
9.16 3.85 66.14
1.84 3.03 37.43
8.01 5.04 50.98
4.05 9.86 4.76
5.4 5.49 60...

output:

5.770882649252492
8.567415730337078
6.260504201680673
3.285863874345549
4.313767342582711
25.176484172057862
1.944444444444444
11.406299616371948
6.807191205656825
6.600614439324117
10.727712560828959
3.800197844820431
7.484484302631077
16.510067114093960
3.775697012154807
10.915711070455629
3.51752...

result: