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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#163583#7110. Kuririn MIRACLEucup-team866AC ✓297ms3808kbC++141.1kb2023-09-04 11:42:192023-09-04 11:42:19

Judging History

你现在查看的是最新测评结果

  • [2023-09-04 11:42:19]
  • 评测
  • 测评结果:AC
  • 用时:297ms
  • 内存:3808kb
  • [2023-09-04 11:42:19]
  • 提交

answer

#include <bits/stdc++.h>
#include <cmath>
using namespace std;
typedef long double ld;
const ld Pi = acos(- 1.L), S3 = sqrt(3.L);
int T; ld v, r, d, L, R, M, ans;
ld f(ld a) {
	ld s = sin(a);
	return 1 / (sqrt(s * s + 3) - s);
}
ld simpson(ld l, ld r) {
	return (r - l) / 6 * (f(l) + f(r) + 4 * f((l + r) / 2));
}
ld integral(ld l, ld r, ld eps, ld ans) {
	ld mid = (l + r) / 2, lans = simpson(l, mid), rans = simpson(mid, r);
	if (fabsl(lans + rans - ans) < 15 * eps) return lans + rans;
	return eps /= 2, integral(l, mid, eps, lans) + integral(mid, r, eps, rans);
}
ld calc(ld a) {
	ld s = sin(a);
	return 2 * r / v * (integral(0, a, 1e-9, simpson(0, a)) - tan(a) / (sqrt(s * s + 3) - s));
}
bool chk(ld a) {
	return d - v * calc(a) >= 2 * r * (1 - 1 / cos(a));
}
int main() {
	cin >> T;
	while (T --) {
		scanf ("%Lf%Lf%Lf", &v, &r, &d);
//		cin >> v >> r >> d;
		L = Pi / 2, R = Pi;
		if (! chk(R)) ans = d / v;
		else {
			for (int i=1; i<=50; i++) {
				M = (L + R) / 2;
				(chk(M) ? R : L) = M;
			} ans = calc(R);
		} printf ("%.10Lf\n", ans);
	}
}

这程序好像有点Bug,我给组数据试试?

Details

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Test #1:

score: 100
Accepted
time: 2ms
memory: 3808kb

input:

1
2.00 3 30.0

output:

8.3105799341

result:

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

Test #2:

score: 0
Accepted
time: 27ms
memory: 3748kb

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:

4.4578371230
5.4883608091
5.8486997636
1.1236802413
43.2664800555
8.3054901384
2.3773584906
4.0154859696
37.9481481481
18.6520618557
4.1551236436
27.1789630073
9.6254545455
63.3119266055
16.6138613861
15.0939944615
1.0171821306
6.9496235028
8.1504302994
8.8584474886
1.7697642164
4.5411392405
10.4731...

result:

ok 100 numbers

Test #3:

score: 0
Accepted
time: 297ms
memory: 3656kb

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:

5.7708826496
8.5674157303
6.2605042017
3.2858638743
4.3137673426
25.1764841730
1.9444444444
11.4062996166
6.8071912057
6.6006144393
10.7277125611
3.8001978449
7.4844843028
16.5100671141
3.7756970122
10.9157110710
3.5175276461
1.1753086420
6.0952874392
14.4431818182
8.4168240744
8.4894553078
6.028112...

result:

ok 1000 numbers

Extra Test:

score: 0
Extra Test Passed