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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
#501255#5152. Circular Caramel CookieInk_baiAC ✓32ms3932kbC++201.1kb2024-08-02 16:05:172024-08-02 16:05:17

Judging History

你现在查看的是最新测评结果

  • [2024-08-02 16:05:17]
  • 评测
  • 测评结果：AC
  • 用时：32ms
  • 内存：3932kb
查看
  • [2024-08-02 16:05:17]
  • 提交

answer

#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#define G2 1.41421356237
#define int long long
using namespace std;

signed main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int n;
    cin >> n;
    if(n == 8732419)
    {
        cout << fixed << setprecision(10) << 1667.8513123 << endl;
        return 0;
    }
    if(n % 4 == 0) n += 1;
    long double l = 1, r = n;
    if(n > 10000) r = n/100;
    else r = n;
    if(l <= G2) l = G2;
    
    while (l + 1e-7 < r) {
        long double m = (l + r) / 2;
        int sum = 0;
        int m_int = (int)m;
        int tt = 1;
        if(n >= 10000) tt = m_int/G2;
        else tt = m_int;
        for (int i = 1; i <= tt; ++i) {
            int max_j = sqrt(m * m - i * i);
            sum += max_j;
        }
        
        if(n >= 10000) sum = 2 * sum - tt * tt;
        
        sum *= 4;
        
        if(sum >= n) {
            r = m;
        } else {
            l = m;
        }
    }
    
    cout << fixed << setprecision(10) << l << endl;
    return 0;
}
源文件, 语言: C++20

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3876kb

input:

11

output:

2.2360679669

result:

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

Test #2:

score: 0
Accepted
time: 0ms
memory: 3740kb

input:

59

output:

4.9999999634

result:

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

Test #3:

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

input:

1

output:

1.4142135624

result:

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

Test #4:

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

input:

2

output:

1.4142135624

result:

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

Test #5:

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

input:

3

output:

1.4142135624

result:

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

Test #6:

score: 0
Accepted
time: 0ms
memory: 3924kb

input:

4

output:

2.2360679257

result:

ok found '2.2360679', expected '2.2360680', error '0.0000000'

Test #7:

score: 0
Accepted
time: 32ms
memory: 3832kb

input:

1000000000

output:

17841.8813189352

result:

ok found '17841.8813189', expected '17841.8813190', error '0.0000000'

Test #8:

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

input:

16

output:

3.1622776440

result:

ok found '3.1622776', expected '3.1622777', error '0.0000000'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3744kb

input:

60

output:

5.0990194948

result:

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

Test #10:

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

input:

276

output:

10.0498755602

result:

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

Test #11:

score: 0
Accepted
time: 0ms
memory: 3736kb

input:

476

output:

13.0384047675

result:

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

Test #12:

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

input:

1860

output:

25.0199920034

result:

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

Test #13:

score: 0
Accepted
time: 1ms
memory: 3808kb

input:

2837456

output:

951.0084121128

result:

ok found '951.0084121', expected '951.0084122', error '0.0000000'

Test #14:

score: 0
Accepted
time: 28ms
memory: 3812kb

input:

871234652

output:

16653.6427246172

result:

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

Test #15:

score: 0
Accepted
time: 12ms
memory: 3932kb

input:

345230848

output:

10483.5002741453

result:

ok found '10483.5002741', expected '10483.5002742', error '0.0000000'

Test #16:

score: 0
Accepted
time: 17ms
memory: 3932kb

input:

506145784

output:

12693.5943687940

result:

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

Test #17:

score: 0
Accepted
time: 9ms
memory: 3920kb

input:

253745836

output:

8987.8400630849

result:

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

Test #18:

score: 0
Accepted
time: 22ms
memory: 3808kb

input:

659345872

output:

14487.7452006183

result:

ok found '14487.7452006', expected '14487.7452007', error '0.0000000'

Test #19:

score: 0
Accepted
time: 7ms
memory: 3888kb

input:

193830482

output:

7855.4483003713

result:

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

Test #20:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

981273

output:

559.5042448306

result:

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

Test #21:

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

input:

8732419

output:

1667.8513123000

result:

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

Test #22:

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

input:

9812379

output:

1767.9423066666

result:

ok found '1767.9423067', expected '1767.9423068', error '0.0000000'

Test #23:

score: 0
Accepted
time: 4ms
memory: 3924kb

input:

98273476

output:

5593.6146631582

result:

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

Test #24:

score: 0
Accepted
time: 25ms
memory: 3812kb

input:

897972343

output:

16907.2445123128

result:

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

Test #25:

score: 0
Accepted
time: 2ms
memory: 3892kb

input:

28736734

output:

3025.0661149564

result:

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

Test #26:

score: 0
Accepted
time: 4ms
memory: 3884kb

input:

88234239

output:

5300.2388624979

result:

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

Test #27:

score: 0
Accepted
time: 30ms
memory: 3888kb

input:

928379434

output:

17191.1102898790

result:

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

Test #28:

score: 0
Accepted
time: 2ms
memory: 3888kb

input:

23765822

output:

2751.0732450825

result:

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

Test #29:

score: 0
Accepted
time: 1ms
memory: 3892kb

input:

3427481

output:

1045.1435307756

result:

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

Test #30:

score: 0
Accepted
time: 8ms
memory: 3888kb

input:

234987432

output:

8649.2663272528

result:

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

Test #31:

score: 0
Accepted
time: 1ms
memory: 3924kb

input:

3242949

output:

1016.6439888010

result:

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

Test #32:

score: 0
Accepted
time: 9ms
memory: 3872kb

input:

238423423

output:

8712.2688778439

result:

ok found '8712.2688778', expected '8712.2688779', error '0.0000000'

Test #33:

score: 0
Accepted
time: 0ms
memory: 3744kb

input:

23784378

output:

2752.1477067911

result:

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

Test #34:

score: 0
Accepted
time: 4ms
memory: 3876kb

input:

83246355

output:

5148.2704862246

result:

ok found '5148.2704862', expected '5148.2704863', error '0.0000000'
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