QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#553573#8677. Carl’s VacationRngBased#AC ✓159ms3976kbC++172.6kb2024-09-08 15:37:572024-09-08 15:37:57

Judging History

你现在查看的是最新测评结果

  • [2024-09-08 15:37:57]
  • 评测
  • 测评结果:AC
  • 用时:159ms
  • 内存:3976kb
  • [2024-09-08 15:37:57]
  • 提交

answer

#include <bits/stdc++.h>
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pdd pair<double, double>
#define F first
#define S second 
#define all(x) x.begin(), x.end()
using namespace std;

pdd operator+(pdd a, pdd b)
{
    return pdd(a.F + b.F, a.S + b.S);
}
pdd operator-(pdd a)
{
    return pdd(-a.F, -a.S);
}
pdd operator-(pdd a, pdd b)
{
    return a + (-b);
}
pdd operator*(pdd a, double b)
{
    return pdd(a.F * b, a.S * b);
}
pdd operator/(pdd a, double b)
{
    return pdd(a.F / b, a.S / b);
}
double dot(pdd a, pdd b)
{
    return a.F * b.F + a.S * b.S;
}
double abs2(pdd a)
{
    return dot(a, a);
}
pdd orth(pdd p)
{
    return pdd(-p.S, p.F);
}
pdd interpo(pdd p, pdd q, double t)
{
    return p * t + q * (1 - t);
}

double h1, h2;
pdd p1, q1, p2, q2;

signed main()
{
    ios::sync_with_stdio(0);
    cin.tie(0), cout.tie(0);
    cin >> p1.F >> p1.S >> q1.F >> q1.S >> h1;
    cin >> p2.F >> p2.S >> q2.F >> q2.S >> h2;
    pdd v1 = q1 - p1, v2 = q2 - p2;

    pdd b1 = p1 + v1 / 2.0 + orth(v1) / 2.0;
    pdd b2 = p2 + v2 / 2.0 + orth(v2) / 2.0;
    double ans = 1e18;
    for (int i = 0; i < 4; i++)
    {        
        for (int j = 0; j < 4; j++)
        {
            const int S = 100;
            int T = 200;
            double l1 = 0, r1 = 1, l2 = 0, r2 = 1;
            while (T--)
            {
                double d1 = (r1 - l1) / S;
                double d2 = (r2 - l2) / S;
                pii best(0, 0);
                double cur = 1e18;
                for (int t1 = 0; t1 <= S; t1++)
                    for (int t2 = 0; t2 <= S; t2++)
                    {
                        pdd x = interpo(p1, q1, l1 + t1 * d1);
                        pdd y = interpo(p2, q2, l2 + t2 * d2);
                        double dis = sqrt(abs2(b1 - x) + h1 * h1) + 
                                     sqrt(abs2(x - y)) + 
                                     sqrt(abs2(b2 - y) + h2 * h2);
                        if (dis < cur)
                            cur = dis, best = pii(t1, t2);
                    }
                auto [t1, t2] = best;
                ans = min(ans, cur);
                l1 = max(0.0, l1 + (t1 - 30) * d1);
                l2 = max(0.0, l2 + (t2 - 30) * d2);
                r1 = min(1.0, l1 + (t1 + 30) * d1);
                r2 = min(1.0, l2 + (t2 + 30) * d2);
            }

            p2 = p2 + v2;
            v2 = orth(v2);
            q2 = q2 + v2;
        }
        p1 = p1 + v1;
        v1 = orth(v1);
        q1 = q1 + v1;
    }
    cout << fixed << setprecision(10) << ans << '\n';
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 158ms
memory: 3964kb

input:

1 0 0 0 10000
99999 10000 10000 10000 10000

output:

76118.7000492205

result:

ok found '76118.7000492', expected '76118.7000492', error '0.0000000'

Test #2:

score: 0
Accepted
time: 158ms
memory: 3956kb

input:

10000 10000 10000 0 10000
0 0 0 10000 10000

output:

32360.6797749979

result:

ok found '32360.6797750', expected '32360.6797750', error '0.0000000'

Test #3:

score: 0
Accepted
time: 158ms
memory: 3864kb

input:

0 0 100 100 20
0 0 -5 -5 2

output:

107.3655550790

result:

ok found '107.3655551', expected '107.3655551', error '0.0000000'

Test #4:

score: 0
Accepted
time: 155ms
memory: 3852kb

input:

0 0 100 100 20
23 23 18 18 2

output:

88.0567625061

result:

ok found '88.0567625', expected '88.0567571', error '0.0000001'

Test #5:

score: 0
Accepted
time: 158ms
memory: 3916kb

input:

0 0 100 100 20
100 100 105 95 2

output:

107.3655550790

result:

ok found '107.3655551', expected '107.3655551', error '0.0000000'

Test #6:

score: 0
Accepted
time: 155ms
memory: 3864kb

input:

0 0 100 100 20
44 156 49 151 2

output:

77.7045210310

result:

ok found '77.7045210', expected '77.7045202', error '0.0000000'

Test #7:

score: 0
Accepted
time: 158ms
memory: 3864kb

input:

0 0 100 100 20
200 0 205 5 2

output:

224.5280351568

result:

ok found '224.5280352', expected '224.5280352', error '0.0000000'

Test #8:

score: 0
Accepted
time: 150ms
memory: 3852kb

input:

0 0 100 100 20
-29 171 -24 176 2

output:

84.3681957986

result:

ok found '84.3681958', expected '84.3681958', error '0.0000000'

Test #9:

score: 0
Accepted
time: 158ms
memory: 3864kb

input:

0 0 100 100 20
-100 100 -105 105 2

output:

107.3655550790

result:

ok found '107.3655551', expected '107.3655551', error '0.0000000'

Test #10:

score: 0
Accepted
time: 159ms
memory: 3920kb

input:

0 0 100 100 20
-69 69 -74 74 2

output:

83.2946124445

result:

ok found '83.2946124', expected '83.2946124', error '0.0000000'

Test #11:

score: 0
Accepted
time: 158ms
memory: 3848kb

input:

0 0 30 0 20
50 20 80 20 20

output:

72.8010988928

result:

ok found '72.8010989', expected '72.8010989', error '0.0000000'

Test #12:

score: 0
Accepted
time: 154ms
memory: 3860kb

input:

0 0 30 0 20
50 20 80 20 140

output:

186.8749482758

result:

ok found '186.8749483', expected '186.8749483', error '0.0000000'

Test #13:

score: 0
Accepted
time: 158ms
memory: 3956kb

input:

0 0 30 0 140
50 20 80 20 140

output:

302.2649537612

result:

ok found '302.2649538', expected '302.2649538', error '0.0000000'

Test #14:

score: 0
Accepted
time: 154ms
memory: 3824kb

input:

0 0 30 0 500
50 20 80 20 140

output:

661.3287930050

result:

ok found '661.3287930', expected '661.3287930', error '0.0000000'

Test #15:

score: 0
Accepted
time: 158ms
memory: 3840kb

input:

0 0 30 0 500
50 20 80 20 500

output:

1020.6458719614

result:

ok found '1020.6458720', expected '1020.6458720', error '0.0000000'

Test #16:

score: 0
Accepted
time: 154ms
memory: 3856kb

input:

0 0 30 0 500
50 20 80 20 2000

output:

2520.3614737461

result:

ok found '2520.3614737', expected '2520.3614737', error '0.0000000'

Test #17:

score: 0
Accepted
time: 157ms
memory: 3912kb

input:

1137 -1096 229 -599 6253
5792 -405 3433 -9660 2912

output:

16631.2672046379

result:

ok found '16631.2672046', expected '16631.2672046', error '0.0000000'

Test #18:

score: 0
Accepted
time: 154ms
memory: 3916kb

input:

-1458 4365 -759 -5184 408
8891 -5111 2941 -8564 6966

output:

14848.0979672057

result:

ok found '14848.0979672', expected '14848.0979672', error '0.0000000'

Test #19:

score: 0
Accepted
time: 159ms
memory: 3904kb

input:

2289 1693 -2539 850 7414
-4989 3660 8091 2109 6915

output:

18844.4706205017

result:

ok found '18844.4706205', expected '18844.4706205', error '0.0000000'

Test #20:

score: 0
Accepted
time: 154ms
memory: 3920kb

input:

5431 8457 6717 -6624 2204
-5504 -5607 4032 -674 7792

output:

20847.8621668110

result:

ok found '20847.8621668', expected '20847.8621668', error '0.0000000'

Test #21:

score: 0
Accepted
time: 158ms
memory: 3852kb

input:

4274 -9998 -3313 -2647 4590
-792 1334 5701 -8048 3257

output:

16956.4834717883

result:

ok found '16956.4834718', expected '16956.4834718', error '0.0000000'

Test #22:

score: 0
Accepted
time: 157ms
memory: 3896kb

input:

-1563 -4648 1926 -2970 5843
-1600 9113 -1007 5823 7516

output:

19666.6200192504

result:

ok found '19666.6200193', expected '19666.6200193', error '0.0000000'

Test #23:

score: 0
Accepted
time: 158ms
memory: 3868kb

input:

-6957 -1204 -2026 2849 1571
9178 1160 -3263 -6525 9297

output:

22798.2691656400

result:

ok found '22798.2691656', expected '22798.2691656', error '0.0000000'

Test #24:

score: 0
Accepted
time: 158ms
memory: 3972kb

input:

-5254 4877 5836 -1945 4282
8106 -8783 7076 -2291 6168

output:

17820.1271048619

result:

ok found '17820.1271049', expected '17820.1271049', error '0.0000000'

Test #25:

score: 0
Accepted
time: 158ms
memory: 3840kb

input:

2278 -7979 -200 -9432 528
-8604 1343 -5214 2428 8005

output:

22690.4150723923

result:

ok found '22690.4150724', expected '22690.4150724', error '0.0000000'

Test #26:

score: 0
Accepted
time: 159ms
memory: 3864kb

input:

5003 277 737 -3626 2886
3492 4353 -446 5788 2426

output:

10058.3916191793

result:

ok found '10058.3916192', expected '10058.3916192', error '0.0000000'

Test #27:

score: 0
Accepted
time: 158ms
memory: 3840kb

input:

-6582 -2629 -1742 6935 5531
-2010 1455 1794 -3461 9066

output:

20018.3757266857

result:

ok found '20018.3757267', expected '20018.3757267', error '0.0000000'

Test #28:

score: 0
Accepted
time: 155ms
memory: 3904kb

input:

-8174 -1075 -6736 -2685 6615
-2151 4184 -1716 -308 5064

output:

16260.3532322230

result:

ok found '16260.3532322', expected '16260.3532322', error '0.0000000'

Test #29:

score: 0
Accepted
time: 158ms
memory: 3868kb

input:

5291 1243 8982 5204 8450
-1177 -5306 -1390 2460 8858

output:

23316.8500582543

result:

ok found '23316.8500583', expected '23316.8500583', error '0.0000000'

Test #30:

score: 0
Accepted
time: 158ms
memory: 3964kb

input:

-4229 2060 9017 -2659 5812
9887 -9973 5460 -2671 4205

output:

18310.3049215940

result:

ok found '18310.3049216', expected '18310.3049216', error '0.0000000'

Test #31:

score: 0
Accepted
time: 154ms
memory: 3852kb

input:

0 0 8 0 3
0 8 8 8 3

output:

10.0000000000

result:

ok found '10.0000000', expected '10.0000000', error '0.0000000'

Test #32:

score: 0
Accepted
time: 158ms
memory: 3968kb

input:

0 0 8 0 2
8 8 16 8 2

output:

12.0000000000

result:

ok found '12.0000000', expected '12.0000000', error '0.0000000'

Test #33:

score: 0
Accepted
time: 158ms
memory: 3896kb

input:

0 0 8 0 2
10 10 18 10 2

output:

14.8284271247

result:

ok found '14.8284271', expected '14.8284271', error '0.0000000'

Test #34:

score: 0
Accepted
time: 154ms
memory: 3848kb

input:

0 0 8 0 100000
10 10 18 10 100000

output:

200002.8287471247

result:

ok found '200002.8287471', expected '200002.8287471', error '0.0000000'

Test #35:

score: 0
Accepted
time: 158ms
memory: 3972kb

input:

51412 80788 39091 71527 97605
6327 44899 20415 -12571 86627

output:

194757.4868334289

result:

ok found '194757.4868334', expected '194757.4868334', error '0.0000000'

Test #36:

score: 0
Accepted
time: 158ms
memory: 3888kb

input:

-43347 56743 17244 83573 86143
-90081 -3018 -22063 -95528 26489

output:

179973.3418451778

result:

ok found '179973.3418452', expected '179973.3418452', error '0.0000000'

Test #37:

score: 0
Accepted
time: 158ms
memory: 3916kb

input:

88637 -28248 308 -92620 47395
-57673 62668 -66785 923 49207

output:

210116.8218173324

result:

ok found '210116.8218173', expected '210116.8218173', error '0.0000000'

Test #38:

score: 0
Accepted
time: 158ms
memory: 3848kb

input:

59768 12643 57116 -71451 64957
-43638 42191 -37837 9851 1875

output:

171578.6515053420

result:

ok found '171578.6515053', expected '171578.6515053', error '0.0000000'

Test #39:

score: 0
Accepted
time: 158ms
memory: 3900kb

input:

-46206 -30845 -28470 3652 33497
74620 -92045 75046 -19320 48537

output:

147174.1317146146

result:

ok found '147174.1317146', expected '147174.1317146', error '0.0000000'

Test #40:

score: 0
Accepted
time: 158ms
memory: 3976kb

input:

65899 65734 27624 70256 81635
-97389 -56422 -91684 -53179 88643

output:

317109.4217967594

result:

ok found '317109.4217968', expected '317109.4217968', error '0.0000000'

Test #41:

score: 0
Accepted
time: 154ms
memory: 3904kb

input:

-25117 -50391 569 -34721 73972
-90107 -83510 -46359 -95477 83257

output:

174084.6702541819

result:

ok found '174084.6702542', expected '174084.6702542', error '0.0000000'

Test #42:

score: 0
Accepted
time: 158ms
memory: 3868kb

input:

6832 -56636 7968 -59867 82961
6289 -49692 -56413 -38910 90946

output:

184208.6118875315

result:

ok found '184208.6118875', expected '184208.6118875', error '0.0000000'

Test #43:

score: 0
Accepted
time: 158ms
memory: 3844kb

input:

-100000 -100000 -100000 100000 100000
100000 100000 100000 -100000 100000

output:

482842.7124746190

result:

ok found '482842.7124746', expected '482842.7124746', error '0.0000000'

Test #44:

score: 0
Accepted
time: 154ms
memory: 3852kb

input:

-79878 -52149 -90171 -65032 95613
-22921 39940 69440 26987 94207

output:

319596.9717576302

result:

ok found '319596.9717576', expected '319596.9717576', error '0.0000000'

Extra Test:

score: 0
Extra Test Passed