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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
#209973#7110. Kuririn MIRACLEPetroTarnavskyiAC ✓604ms4420kbC++171.7kb2023-10-10 20:36:482023-10-10 20:36:49

Judging History

你现在查看的是最新测评结果

  • [2023-10-10 20:36:49]
  • 评测
  • 测评结果:AC
  • 用时:604ms
  • 内存:4420kb
  • [2023-10-10 20:36:48]
  • 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 = 10000;
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;
}

这程序好像有点Bug,我给组数据试试?

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 4328kb

input:

1
2.00 3 30.0

output:

8.310579933909340

result:

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

Test #2:

score: 0
Accepted
time: 62ms
memory: 4332kb

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:

4.457837122746627
5.488360809027712
5.848699763593380
1.123680241327300
43.266480053585695
8.305490138207125
2.377358490566038
4.015485969513469
37.948148148148142
18.652061855670105
4.155123643590650
27.178963007080711
9.625454545454545
63.311926605504588
16.613861386138616
15.093994461200788
1.017...

result:

ok 100 numbers

Test #3:

score: 0
Accepted
time: 604ms
memory: 4420kb

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:

5.770882649268312
8.567415730337078
6.260504201680673
3.285863874345549
4.313767342582711
25.176484172057823
1.944444444444444
11.406299616378021
6.807191205685942
6.600614439324117
10.727712560880473
3.800197844844337
7.484484302631065
16.510067114093960
3.775697012166001
10.915711070463377
3.51752...

result:

ok 1000 numbers

Extra Test:

score: 0
Extra Test Passed