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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#204114#7110. Kuririn MIRACLEucup-team484AC ✓362ms3812kbC++171.5kb2023-10-07 02:15:132023-10-07 02:15:13

Judging History

你现在查看的是最新测评结果

  • [2023-10-07 02:15:13]
  • 评测
  • 测评结果:AC
  • 用时:362ms
  • 内存:3812kb
  • [2023-10-07 02:15:13]
  • 提交

answer

#include <bits/stdc++.h>
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
using namespace std;
typedef long long ll;
typedef long double ld;
const int mod = 1e9 + 7;
const int N = 1e6 + 5;
const ld pi = acos(-1);

void solve() {
	ld v, r, d; cin >> v >> r >> d;
	ld ans = d / v;
	ld tup = 2 * r / v * 1.3116414728929514370;
	if (d - 4 * r - v * 2 * tup >= 0) {
		auto g = [&](ld a) {
			ld ca = cos(a);
			return sqrt(3 + ca * ca) - ca;
		};
		auto g2 = [&](ld a) {
			ld ca = cos(a);
			return sqrt(3 + ca * ca);
		};
		auto int2 = [&](ld hi) {
			int n = 100;
			ld h = hi / n, ret = 0;
			for (int i = 0; i <= n; i++) {
				if (i < n)
					ret += 2 * h / 3 * g2(i * h + h / 2);
				ret += h / 6 * (1 + (i > 0 && i < n)) * g2(i * h);
//				ret += h / 6 * (g2(i * h) + 4 * g2(i * h + h / 2) + g2((i + 1) * h));
			}
			return ret;
		};
		auto integrate = [&](ld hi) {
			return (sin(hi) + int2(hi)) / 3;
		};
		auto f = [&](ld t) {
			ld nd = max(2 * r, d - v * t);
			ld a = asin(2 * r / nd);
			ld tc = integrate(a) * 2 * r / v;
			ld tl = sqrt(nd * nd - 4 * r * r) / (v * g(a));
			return tl + tc <= t;
		};
		d -= 2 * r + v * tup;
		ld lo = tup, hi = d / v;
		for (int it = 0; it < 100; it++) {
			ld m = (lo + hi) / 2;
			if (f(m))
				hi = m;
			else
				lo = m;
		}
		ans = tup + lo;
	}
	cout << fixed << setprecision(10) << ans << "\n";
}

int main() {
	ios_base::sync_with_stdio(false); cin.tie(0);
	int t; cin >> t; while (t--) solve();
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3812kb

input:

1
2.00 3 30.0

output:

8.3105799339

result:

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

Test #2:

score: 0
Accepted
time: 36ms
memory: 3772kb

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:

4.4578371227
5.4883608090
5.8486997636
1.1236802413
43.2664800535
8.3054901382
2.3773584906
4.0154859695
37.9481481481
18.6520618557
4.1551236436
27.1789630071
9.6254545455
63.3119266055
16.6138613861
15.0939944612
1.0171821306
6.9496235027
8.1504302992
8.8584474886
1.7697642164
4.5411392405
10.4731...

result:

ok 100 numbers

Test #3:

score: 0
Accepted
time: 362ms
memory: 3716kb

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:

5.7708826493
8.5674157303
6.2605042017
3.2858638743
4.3137673426
25.1764841721
1.9444444444
11.4062996164
6.8071912057
6.6006144393
10.7277125608
3.8001978448
7.4844843026
16.5100671141
3.7756970122
10.9157110705
3.5175276460
1.1753086420
6.0952874389
14.4431818182
8.4168240742
8.4894553076
6.028112...

result:

ok 1000 numbers

Extra Test:

score: 0
Extra Test Passed