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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#816395#5152. Circular Caramel Cookieucup-team3723#AC ✓480ms3936kbC++20888b2024-12-16 10:32:252024-12-16 10:32:25

Judging History

你现在查看的是最新测评结果

  • [2024-12-16 10:32:25]
  • 评测
  • 测评结果:AC
  • 用时:480ms
  • 内存:3936kb
  • [2024-12-16 10:32:25]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define ALL(v) v.begin(),v.end()
#define dbg(x) cerr << #x << ": " << (x) << endl;
#define sq(x) ((x) * (x))

int main() {
    ll n;
    cin >> n;

    ++n;
    n = (n + 3) / 4;

    auto f = [&](ld mid) {
        ll cnt = 0;
        for (ll i = 1; i <= mid; ++i) {
            ll in = 0, out = n+1;
            while (out - in > 1) {
                ll m = (in + out) / 2;
                (sq(m) <= sq(mid) - sq(i) ? in : out) = m;
            }
            cnt += in;
            if (cnt >= n) break;
        }
        return cnt;
    };

    ld ok = n+1, ng = 0;
    for (int t = 0; t < 200; ++t) {
        ld mid = (ok + ng) / 2;

        
        (f(mid) >= n ? ok : ng) = mid;
    }
    dbg(f(ok))
    cout << fixed << setprecision(20) << ok << '\n';
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3888kb

input:

11

output:

2.23606797749978969641

result:

ok found '2.2360680', expected '2.2360680', error '0.0000000'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

59

output:

5.00000000000000000000

result:

ok found '5.0000000', expected '5.0000000', error '0.0000000'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

1

output:

1.41421356237309504887

result:

ok found '1.4142136', expected '1.4142136', error '0.0000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3932kb

input:

2

output:

1.41421356237309504887

result:

ok found '1.4142136', expected '1.4142136', error '0.0000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

3

output:

1.41421356237309504887

result:

ok found '1.4142136', expected '1.4142136', error '0.0000000'

Test #6:

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

input:

4

output:

2.23606797749978969641

result:

ok found '2.2360680', expected '2.2360680', error '0.0000000'

Test #7:

score: 0
Accepted
time: 480ms
memory: 3880kb

input:

1000000000

output:

17841.88131896409628218692

result:

ok found '17841.8813190', expected '17841.8813190', error '0.0000000'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

16

output:

3.16227766016837933197

result:

ok found '3.1622777', expected '3.1622777', error '0.0000000'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

60

output:

5.09901951359278483031

result:

ok found '5.0990195', expected '5.0990195', error '0.0000000'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3836kb

input:

276

output:

10.04987562112089027021

result:

ok found '10.0498756', expected '10.0498756', error '0.0000000'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

476

output:

13.03840481040529742946

result:

ok found '13.0384048', expected '13.0384048', error '0.0000000'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3936kb

input:

1860

output:

25.01999200639360716042

result:

ok found '25.0199920', expected '25.0199920', error '0.0000000'

Test #13:

score: 0
Accepted
time: 19ms
memory: 3884kb

input:

2837456

output:

951.00841216048136489425

result:

ok found '951.0084122', expected '951.0084122', error '0.0000000'

Test #14:

score: 0
Accepted
time: 464ms
memory: 3752kb

input:

871234652

output:

16653.64272464135697582321

result:

ok found '16653.6427246', expected '16653.6427246', error '0.0000000'

Test #15:

score: 0
Accepted
time: 271ms
memory: 3876kb

input:

345230848

output:

10483.50027424046953772319

result:

ok found '10483.5002742', expected '10483.5002742', error '0.0000000'

Test #16:

score: 0
Accepted
time: 327ms
memory: 3888kb

input:

506145784

output:

12693.59436881453211665161

result:

ok found '12693.5943688', expected '12693.5943688', error '0.0000000'

Test #17:

score: 0
Accepted
time: 222ms
memory: 3932kb

input:

253745836

output:

8987.84006310748722867743

result:

ok found '8987.8400631', expected '8987.8400631', error '0.0000000'

Test #18:

score: 0
Accepted
time: 389ms
memory: 3752kb

input:

659345872

output:

14487.74520068599218625138

result:

ok found '14487.7452007', expected '14487.7452007', error '0.0000000'

Test #19:

score: 0
Accepted
time: 194ms
memory: 3888kb

input:

193830482

output:

7855.44830038362610080682

result:

ok found '7855.4483004', expected '7855.4483004', error '0.0000000'

Test #20:

score: 0
Accepted
time: 10ms
memory: 3856kb

input:

981273

output:

559.50424484538095415420

result:

ok found '559.5042448', expected '559.5042448', error '0.0000000'

Test #21:

score: 0
Accepted
time: 33ms
memory: 3832kb

input:

8732419

output:

1667.85131231773775284388

result:

ok found '1667.8513123', expected '1667.8513123', error '0.0000000'

Test #22:

score: 0
Accepted
time: 37ms
memory: 3832kb

input:

9812379

output:

1767.94230675098671334844

result:

ok found '1767.9423068', expected '1767.9423068', error '0.0000000'

Test #23:

score: 0
Accepted
time: 135ms
memory: 3880kb

input:

98273476

output:

5593.61466316727970582434

result:

ok found '5593.6146632', expected '5593.6146632', error '0.0000000'

Test #24:

score: 0
Accepted
time: 461ms
memory: 3888kb

input:

897972343

output:

16907.24451233849045728164

result:

ok found '16907.2445123', expected '16907.2445123', error '0.0000000'

Test #25:

score: 0
Accepted
time: 64ms
memory: 3832kb

input:

28736734

output:

3025.06611497996849990955

result:

ok found '3025.0661150', expected '3025.0661150', error '0.0000000'

Test #26:

score: 0
Accepted
time: 124ms
memory: 3828kb

input:

88234239

output:

5300.23886254195151446211

result:

ok found '5300.2388625', expected '5300.2388625', error '0.0000000'

Test #27:

score: 0
Accepted
time: 463ms
memory: 3692kb

input:

928379434

output:

17191.11028991437772184270

result:

ok found '17191.1102899', expected '17191.1102899', error '0.0000000'

Test #28:

score: 0
Accepted
time: 62ms
memory: 3808kb

input:

23765822

output:

2751.07324511725786964078

result:

ok found '2751.0732451', expected '2751.0732451', error '0.0000000'

Test #29:

score: 0
Accepted
time: 20ms
memory: 3828kb

input:

3427481

output:

1045.14353081287356739271

result:

ok found '1045.1435308', expected '1045.1435308', error '0.0000000'

Test #30:

score: 0
Accepted
time: 216ms
memory: 3836kb

input:

234987432

output:

8649.26632726730180955599

result:

ok found '8649.2663273', expected '8649.2663273', error '0.0000000'

Test #31:

score: 0
Accepted
time: 20ms
memory: 3692kb

input:

3242949

output:

1016.64398881811129315977

result:

ok found '1016.6439888', expected '1016.6439888', error '0.0000000'

Test #32:

score: 0
Accepted
time: 217ms
memory: 3832kb

input:

238423423

output:

8712.26887785265727437434

result:

ok found '8712.2688779', expected '8712.2688779', error '0.0000000'

Test #33:

score: 0
Accepted
time: 62ms
memory: 3812kb

input:

23784378

output:

2752.14770679191562896548

result:

ok found '2752.1477068', expected '2752.1477068', error '0.0000000'

Test #34:

score: 0
Accepted
time: 121ms
memory: 3840kb

input:

83246355

output:

5148.27048628954615061559

result:

ok found '5148.2704863', expected '5148.2704863', error '0.0000000'