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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#102574#5152. Circular Caramel Cookiew4p3r#AC ✓39ms3756kbC++20717b2023-05-03 14:48:062023-05-03 14:48:09

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-05-03 14:48:09]
  • 评测
  • 测评结果:AC
  • 用时:39ms
  • 内存:3756kb
  • [2023-05-03 14:48:06]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
typedef double db;
const db eps=1e-9;
typedef long long ll;

int s=0;

bool check(db mid)
{
	ll cnt=0;
	for(int i=1;i<=mid;i++)
	{
		db d=mid*mid-1ll*i*i;
		// cerr<<"i = "<<i<<", d = "<<d<<": \n";
		int l=0,r=mid+1;
		while(l+1<r)
		{
			// cerr<<l<<" "<<r<<"\n";
			int m=l+r>>1;
			if(1ll*m*m<=d) l=m;
			else r=m;
		}
		cnt+=l;
	}
	// cerr<<"mid = "<<mid<<", cnt = "<<cnt<<"\n";
	return 4*cnt>s;
}

int main()
{
	scanf("%d",&s);
	db l=0,r=sqrt(2*s);
	while(l+eps<=r)
	{
		db mid=l+(r-l)*0.5;
		// cerr<<l<<" "<<r<<" "<<mid<<": \n";
		if(check(mid)) r=mid;
		else l=mid;
		// cerr<<"\n";
	}
	printf("%.20lf\n",r);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 3512kb

input:

11

output:

2.23606797762576015032

result:

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

Test #2:

score: 0
Accepted
time: 2ms
memory: 3524kb

input:

59

output:

5.00000000012520029458

result:

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

Test #3:

score: 0
Accepted
time: 2ms
memory: 3564kb

input:

1

output:

1.41421356237309514547

result:

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

Test #4:

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

input:

2

output:

1.41421356238424777985

result:

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

Test #5:

score: 0
Accepted
time: 2ms
memory: 3560kb

input:

3

output:

1.41421356265469544411

result:

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

Test #6:

score: 0
Accepted
time: 2ms
memory: 3668kb

input:

4

output:

2.23606797761592535068

result:

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

Test #7:

score: 0
Accepted
time: 39ms
memory: 3516kb

input:

1000000000

output:

17841.88131896448976476677

result:

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

Test #8:

score: 0
Accepted
time: 2ms
memory: 3512kb

input:

16

output:

3.16227766049947600635

result:

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

Test #9:

score: 0
Accepted
time: 2ms
memory: 3560kb

input:

60

output:

5.09901951367940053927

result:

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

Test #10:

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

input:

276

output:

10.04987562175542770149

result:

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

Test #11:

score: 0
Accepted
time: 2ms
memory: 3668kb

input:

476

output:

13.03840481082112745526

result:

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

Test #12:

score: 0
Accepted
time: 2ms
memory: 3508kb

input:

1860

output:

25.01999200694923075616

result:

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

Test #13:

score: 0
Accepted
time: 3ms
memory: 3672kb

input:

2837456

output:

951.00841216101957797946

result:

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

Test #14:

score: 0
Accepted
time: 33ms
memory: 3512kb

input:

871234652

output:

16653.64272464149325969629

result:

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

Test #15:

score: 0
Accepted
time: 18ms
memory: 3516kb

input:

345230848

output:

10483.50027424087238614447

result:

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

Test #16:

score: 0
Accepted
time: 26ms
memory: 3716kb

input:

506145784

output:

12693.59436881525107310154

result:

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

Test #17:

score: 0
Accepted
time: 19ms
memory: 3516kb

input:

253745836

output:

8987.84006310754557489417

result:

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

Test #18:

score: 0
Accepted
time: 29ms
memory: 3708kb

input:

659345872

output:

14487.74520068603305844590

result:

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

Test #19:

score: 0
Accepted
time: 17ms
memory: 3576kb

input:

193830482

output:

7855.44830038378859171644

result:

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

Test #20:

score: 0
Accepted
time: 2ms
memory: 3512kb

input:

981273

output:

559.50424484539280456374

result:

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

Test #21:

score: 0
Accepted
time: 2ms
memory: 3756kb

input:

8732419

output:

1667.85131231840114196530

result:

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

Test #22:

score: 0
Accepted
time: 2ms
memory: 3516kb

input:

9812379

output:

1767.94230675138760489062

result:

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

Test #23:

score: 0
Accepted
time: 9ms
memory: 3468kb

input:

98273476

output:

5593.61466316771929996321

result:

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

Test #24:

score: 0
Accepted
time: 37ms
memory: 3688kb

input:

897972343

output:

16907.24451233891159063205

result:

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

Test #25:

score: 0
Accepted
time: 7ms
memory: 3716kb

input:

28736734

output:

3025.06611498083020705963

result:

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

Test #26:

score: 0
Accepted
time: 6ms
memory: 3592kb

input:

88234239

output:

5300.23886254244007432135

result:

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

Test #27:

score: 0
Accepted
time: 39ms
memory: 3572kb

input:

928379434

output:

17191.11028991491184569895

result:

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

Test #28:

score: 0
Accepted
time: 6ms
memory: 3568kb

input:

23765822

output:

2751.07324511791330223787

result:

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

Test #29:

score: 0
Accepted
time: 3ms
memory: 3508kb

input:

3427481

output:

1045.14353081330273198546

result:

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

Test #30:

score: 0
Accepted
time: 15ms
memory: 3696kb

input:

234987432

output:

8649.26632726773459580727

result:

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

Test #31:

score: 0
Accepted
time: 3ms
memory: 3588kb

input:

3242949

output:

1016.64398881837553290097

result:

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

Test #32:

score: 0
Accepted
time: 19ms
memory: 3508kb

input:

238423423

output:

8712.26887785312646883540

result:

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

Test #33:

score: 0
Accepted
time: 3ms
memory: 3560kb

input:

23784378

output:

2752.14770679201910752454

result:

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

Test #34:

score: 0
Accepted
time: 7ms
memory: 3512kb

input:

83246355

output:

5148.27048629011005687062

result:

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