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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#501211#5152. Circular Caramel Cookie1DemonS1AC ✓15ms3940kbC++201.2kb2024-08-02 15:41:002024-08-02 15:41:01

Judging History

你现在查看的是最新测评结果

  • [2024-08-02 15:41:01]
  • 评测
  • 测评结果:AC
  • 用时:15ms
  • 内存:3940kb
  • [2024-08-02 15:41:00]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define ll long long
const int N = 2e5 + 9;
const int mod = 1e9 + 7;
const double eps = 1e-9; 
#define inf 2e18

ll ans;
double d=sqrt(2);


bool check(double x)
{
    ll res=0,now=0;
    ll st = x/d;
    res += st * st;

    if(res * 4 >= ans) return false;

    ll nx = st + 1, ny = st;
    //find_now
    while(nx <= x)
    {
        ll l = 0, r = sqrt(x * x - nx * nx) + 10;
        while (l < r)
        {
            //cout<<l<<' '<<r<<'\n';
            ll mid = (l + r)/2 + 1;
            if (nx * nx + mid * mid <= x * x) l = mid;  
            else r = mid - 1;
        }
        now += l;
        nx++;
    }

    now *= 2;
    res += now;
    res *= 4;
    if(res >= ans) return false;
    return true;
}  


void solve()
{
    cin>>ans;
    ans ++;
    double l=1, r=1e9 + 100, mid;
    while(fabs(l-r)>=eps)
    {
        mid = (l+r)/2;
        if(check(mid))  l = mid;
        else  r = mid;
    }
    printf("%.10lf",mid);

}

int main()
{
   //ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
    int _ = 1; // cin>>_;
    while (_--) solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3872kb

input:

11

output:

2.2360679772

result:

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

Test #2:

score: 0
Accepted
time: 0ms
memory: 3800kb

input:

59

output:

4.9999999992

result:

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

Test #3:

score: 0
Accepted
time: 0ms
memory: 3940kb

input:

1

output:

1.4142135630

result:

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

Test #4:

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

input:

2

output:

1.4142135630

result:

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

Test #5:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

3

output:

1.4142135630

result:

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

Test #6:

score: 0
Accepted
time: 0ms
memory: 3908kb

input:

4

output:

2.2360679772

result:

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

Test #7:

score: 0
Accepted
time: 15ms
memory: 3872kb

input:

1000000000

output:

17841.8813189649

result:

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

Test #8:

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

input:

16

output:

3.1622776606

result:

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

Test #9:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

60

output:

5.0990195134

result:

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

Test #10:

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

input:

276

output:

10.0498756214

result:

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

Test #11:

score: 0
Accepted
time: 0ms
memory: 3940kb

input:

476

output:

13.0384048104

result:

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

Test #12:

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

input:

1860

output:

25.0199920064

result:

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

Test #13:

score: 0
Accepted
time: 1ms
memory: 3864kb

input:

2837456

output:

951.0084121613

result:

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

Test #14:

score: 0
Accepted
time: 10ms
memory: 3920kb

input:

871234652

output:

16653.6427246421

result:

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

Test #15:

score: 0
Accepted
time: 8ms
memory: 3848kb

input:

345230848

output:

10483.5002742408

result:

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

Test #16:

score: 0
Accepted
time: 11ms
memory: 3856kb

input:

506145784

output:

12693.5943688143

result:

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

Test #17:

score: 0
Accepted
time: 7ms
memory: 3920kb

input:

253745836

output:

8987.8400631083

result:

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

Test #18:

score: 0
Accepted
time: 12ms
memory: 3696kb

input:

659345872

output:

14487.7452006859

result:

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

Test #19:

score: 0
Accepted
time: 6ms
memory: 3920kb

input:

193830482

output:

7855.4483003841

result:

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

Test #20:

score: 0
Accepted
time: 1ms
memory: 3860kb

input:

981273

output:

559.5042448452

result:

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

Test #21:

score: 0
Accepted
time: 1ms
memory: 3920kb

input:

8732419

output:

1667.8513123185

result:

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

Test #22:

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

input:

9812379

output:

1767.9423067506

result:

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

Test #23:

score: 0
Accepted
time: 4ms
memory: 3728kb

input:

98273476

output:

5593.6146631677

result:

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

Test #24:

score: 0
Accepted
time: 14ms
memory: 3816kb

input:

897972343

output:

16907.2445123385

result:

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

Test #25:

score: 0
Accepted
time: 2ms
memory: 3876kb

input:

28736734

output:

3025.0661149802

result:

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

Test #26:

score: 0
Accepted
time: 4ms
memory: 3936kb

input:

88234239

output:

5300.2388625411

result:

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

Test #27:

score: 0
Accepted
time: 14ms
memory: 3940kb

input:

928379434

output:

17191.1102899135

result:

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

Test #28:

score: 0
Accepted
time: 2ms
memory: 3696kb

input:

23765822

output:

2751.0732451178

result:

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

Test #29:

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

input:

3427481

output:

1045.1435308133

result:

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

Test #30:

score: 0
Accepted
time: 3ms
memory: 3864kb

input:

234987432

output:

8649.2663272670

result:

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

Test #31:

score: 0
Accepted
time: 1ms
memory: 3860kb

input:

3242949

output:

1016.6439888187

result:

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

Test #32:

score: 0
Accepted
time: 7ms
memory: 3860kb

input:

238423423

output:

8712.2688778524

result:

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

Test #33:

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

input:

23784378

output:

2752.1477067925

result:

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

Test #34:

score: 0
Accepted
time: 4ms
memory: 3880kb

input:

83246355

output:

5148.2704862887

result:

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