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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#140832#5152. Circular Caramel CookieRetiredButNotTired#AC ✓15ms3764kbC++20809b2023-08-16 21:05:382023-08-16 21:05:41

Judging History

你现在查看的是最新测评结果

  • [2023-08-16 21:05:41]
  • 评测
  • 测评结果:AC
  • 用时:15ms
  • 内存:3764kb
  • [2023-08-16 21:05:38]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define ll long long
int tt, tc;

void solve() {
	ll s;
	cin >> s;

	auto check = [&](long double radius) {
		ll max_height = round(floor(radius));
		ll num_sq = 0;
		for (int i = 1; i <= max_height; i++) {
			// x^2 + y^2 = radius^2
			// x^2 = radius^2 - y^2
			long double h = i;
			long double x = sqrt(radius * radius - h * h);
			num_sq += (ll)round(floor(x));
		}
		num_sq <<= 2;
		return num_sq >= s + 1;
	};

	long double l = 0, r = 1e6;
	int ctr = 100;
	while (ctr--) {
		long double mid = (l + r) / 2.0;
		if (check(mid)) r = mid;
		else l = mid;
	}
	cout << fixed << setprecision(9) << r << "\n";
}

int main() {
	ios::sync_with_stdio(0); cin.tie(0);
	tt = 1, tc = 1; // cin >> tt;
	while (tt--) solve(), tc++;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 3724kb

input:

11

output:

2.236067977

result:

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

Test #2:

score: 0
Accepted
time: 6ms
memory: 3680kb

input:

59

output:

5.000000000

result:

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

Test #3:

score: 0
Accepted
time: 6ms
memory: 3732kb

input:

1

output:

1.414213562

result:

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

Test #4:

score: 0
Accepted
time: 6ms
memory: 3728kb

input:

2

output:

1.414213562

result:

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

Test #5:

score: 0
Accepted
time: 6ms
memory: 3624kb

input:

3

output:

1.414213562

result:

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

Test #6:

score: 0
Accepted
time: 6ms
memory: 3736kb

input:

4

output:

2.236067977

result:

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

Test #7:

score: 0
Accepted
time: 15ms
memory: 3660kb

input:

1000000000

output:

17841.881318964

result:

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

Test #8:

score: 0
Accepted
time: 6ms
memory: 3720kb

input:

16

output:

3.162277660

result:

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

Test #9:

score: 0
Accepted
time: 7ms
memory: 3756kb

input:

60

output:

5.099019514

result:

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

Test #10:

score: 0
Accepted
time: 6ms
memory: 3636kb

input:

276

output:

10.049875621

result:

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

Test #11:

score: 0
Accepted
time: 6ms
memory: 3732kb

input:

476

output:

13.038404810

result:

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

Test #12:

score: 0
Accepted
time: 6ms
memory: 3728kb

input:

1860

output:

25.019992006

result:

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

Test #13:

score: 0
Accepted
time: 7ms
memory: 3724kb

input:

2837456

output:

951.008412160

result:

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

Test #14:

score: 0
Accepted
time: 15ms
memory: 3656kb

input:

871234652

output:

16653.642724641

result:

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

Test #15:

score: 0
Accepted
time: 11ms
memory: 3716kb

input:

345230848

output:

10483.500274240

result:

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

Test #16:

score: 0
Accepted
time: 13ms
memory: 3724kb

input:

506145784

output:

12693.594368815

result:

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

Test #17:

score: 0
Accepted
time: 11ms
memory: 3732kb

input:

253745836

output:

8987.840063107

result:

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

Test #18:

score: 0
Accepted
time: 13ms
memory: 3736kb

input:

659345872

output:

14487.745200686

result:

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

Test #19:

score: 0
Accepted
time: 10ms
memory: 3764kb

input:

193830482

output:

7855.448300384

result:

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

Test #20:

score: 0
Accepted
time: 7ms
memory: 3760kb

input:

981273

output:

559.504244845

result:

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

Test #21:

score: 0
Accepted
time: 7ms
memory: 3652kb

input:

8732419

output:

1667.851312318

result:

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

Test #22:

score: 0
Accepted
time: 7ms
memory: 3672kb

input:

9812379

output:

1767.942306751

result:

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

Test #23:

score: 0
Accepted
time: 9ms
memory: 3608kb

input:

98273476

output:

5593.614663167

result:

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

Test #24:

score: 0
Accepted
time: 15ms
memory: 3732kb

input:

897972343

output:

16907.244512338

result:

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

Test #25:

score: 0
Accepted
time: 8ms
memory: 3724kb

input:

28736734

output:

3025.066114980

result:

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

Test #26:

score: 0
Accepted
time: 9ms
memory: 3728kb

input:

88234239

output:

5300.238862542

result:

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

Test #27:

score: 0
Accepted
time: 15ms
memory: 3652kb

input:

928379434

output:

17191.110289914

result:

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

Test #28:

score: 0
Accepted
time: 8ms
memory: 3736kb

input:

23765822

output:

2751.073245117

result:

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

Test #29:

score: 0
Accepted
time: 7ms
memory: 3736kb

input:

3427481

output:

1045.143530813

result:

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

Test #30:

score: 0
Accepted
time: 11ms
memory: 3724kb

input:

234987432

output:

8649.266327267

result:

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

Test #31:

score: 0
Accepted
time: 7ms
memory: 3652kb

input:

3242949

output:

1016.643988818

result:

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

Test #32:

score: 0
Accepted
time: 7ms
memory: 3680kb

input:

238423423

output:

8712.268877853

result:

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

Test #33:

score: 0
Accepted
time: 5ms
memory: 3736kb

input:

23784378

output:

2752.147706792

result:

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

Test #34:

score: 0
Accepted
time: 6ms
memory: 3760kb

input:

83246355

output:

5148.270486290

result:

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