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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#226812#5152. Circular Caramel CookieFyind#AC ✓36ms3924kbC++23918b2023-10-26 16:45:472023-10-26 16:45:48

Judging History

你现在查看的是最新测评结果

  • [2023-10-26 16:45:48]
  • 评测
  • 测评结果:AC
  • 用时:36ms
  • 内存:3924kb
  • [2023-10-26 16:45:47]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define _ <<" "<<
#define sz(x) ((int) (x).size())
typedef pair<int, int> pii;
typedef long long ll;
const int maxn = 1e5 + 5;
int n, m;
ll s; 

ll calc(ll r2, ll i) {
    ll ret = 0;
    ll L = 0, R = sqrt(r2)*2+5;
    while (L < R) {
        ll M = (L+R)/2+1;
        if (M*M + i*i > r2) R = M-1;
        else L = M;
    }
    return L;
}

bool check(ll r2) {
    if (sqrt(r2) >= maxn*2) return true;
    ll cur = 0;
    for (ll i = 1;i*i <= r2; ++i) {
        cur += calc(r2, i); 
    }
    cur *= 4;
    return cur >= s;
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin >> s; s++;
    ll L = 1, R = LLONG_MAX/4;
    while (L < R) {
        ll M = (L+R)/2;
        if (check(M)) R = M;
        else L = M+1;
    }
    cout << fixed << setprecision(6) << sqrt((long double) L ) << '\n';
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 22ms
memory: 3924kb

input:

11

output:

2.236068

result:

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

Test #2:

score: 0
Accepted
time: 23ms
memory: 3820kb

input:

59

output:

5.000000

result:

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

Test #3:

score: 0
Accepted
time: 22ms
memory: 3880kb

input:

1

output:

1.414214

result:

ok found '1.4142140', expected '1.4142136', error '0.0000003'

Test #4:

score: 0
Accepted
time: 22ms
memory: 3824kb

input:

2

output:

1.414214

result:

ok found '1.4142140', expected '1.4142136', error '0.0000003'

Test #5:

score: 0
Accepted
time: 23ms
memory: 3836kb

input:

3

output:

1.414214

result:

ok found '1.4142140', expected '1.4142136', error '0.0000003'

Test #6:

score: 0
Accepted
time: 22ms
memory: 3864kb

input:

4

output:

2.236068

result:

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

Test #7:

score: 0
Accepted
time: 36ms
memory: 3900kb

input:

1000000000

output:

17841.881319

result:

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

Test #8:

score: 0
Accepted
time: 22ms
memory: 3680kb

input:

16

output:

3.162278

result:

ok found '3.1622780', expected '3.1622777', error '0.0000001'

Test #9:

score: 0
Accepted
time: 22ms
memory: 3896kb

input:

60

output:

5.099020

result:

ok found '5.0990200', expected '5.0990195', error '0.0000001'

Test #10:

score: 0
Accepted
time: 19ms
memory: 3776kb

input:

276

output:

10.049876

result:

ok found '10.0498760', expected '10.0498756', error '0.0000000'

Test #11:

score: 0
Accepted
time: 22ms
memory: 3836kb

input:

476

output:

13.038405

result:

ok found '13.0384050', expected '13.0384048', error '0.0000000'

Test #12:

score: 0
Accepted
time: 19ms
memory: 3836kb

input:

1860

output:

25.019992

result:

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

Test #13:

score: 0
Accepted
time: 19ms
memory: 3832kb

input:

2837456

output:

951.008412

result:

ok found '951.0084120', expected '951.0084122', error '0.0000000'

Test #14:

score: 0
Accepted
time: 34ms
memory: 3896kb

input:

871234652

output:

16653.642725

result:

ok found '16653.6427250', expected '16653.6427246', error '0.0000000'

Test #15:

score: 0
Accepted
time: 26ms
memory: 3824kb

input:

345230848

output:

10483.500274

result:

ok found '10483.5002740', expected '10483.5002742', error '0.0000000'

Test #16:

score: 0
Accepted
time: 32ms
memory: 3900kb

input:

506145784

output:

12693.594369

result:

ok found '12693.5943690', expected '12693.5943688', error '0.0000000'

Test #17:

score: 0
Accepted
time: 28ms
memory: 3816kb

input:

253745836

output:

8987.840063

result:

ok found '8987.8400630', expected '8987.8400631', error '0.0000000'

Test #18:

score: 0
Accepted
time: 33ms
memory: 3916kb

input:

659345872

output:

14487.745201

result:

ok found '14487.7452010', expected '14487.7452007', error '0.0000000'

Test #19:

score: 0
Accepted
time: 27ms
memory: 3820kb

input:

193830482

output:

7855.448300

result:

ok found '7855.4483000', expected '7855.4483004', error '0.0000000'

Test #20:

score: 0
Accepted
time: 19ms
memory: 3920kb

input:

981273

output:

559.504245

result:

ok found '559.5042450', expected '559.5042448', error '0.0000000'

Test #21:

score: 0
Accepted
time: 23ms
memory: 3860kb

input:

8732419

output:

1667.851312

result:

ok found '1667.8513120', expected '1667.8513123', error '0.0000000'

Test #22:

score: 0
Accepted
time: 23ms
memory: 3924kb

input:

9812379

output:

1767.942307

result:

ok found '1767.9423070', expected '1767.9423068', error '0.0000000'

Test #23:

score: 0
Accepted
time: 26ms
memory: 3824kb

input:

98273476

output:

5593.614663

result:

ok found '5593.6146630', expected '5593.6146632', error '0.0000000'

Test #24:

score: 0
Accepted
time: 35ms
memory: 3816kb

input:

897972343

output:

16907.244512

result:

ok found '16907.2445120', expected '16907.2445123', error '0.0000000'

Test #25:

score: 0
Accepted
time: 24ms
memory: 3904kb

input:

28736734

output:

3025.066115

result:

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

Test #26:

score: 0
Accepted
time: 26ms
memory: 3924kb

input:

88234239

output:

5300.238863

result:

ok found '5300.2388630', expected '5300.2388625', error '0.0000000'

Test #27:

score: 0
Accepted
time: 35ms
memory: 3780kb

input:

928379434

output:

17191.110290

result:

ok found '17191.1102900', expected '17191.1102899', error '0.0000000'

Test #28:

score: 0
Accepted
time: 24ms
memory: 3776kb

input:

23765822

output:

2751.073245

result:

ok found '2751.0732450', expected '2751.0732451', error '0.0000000'

Test #29:

score: 0
Accepted
time: 23ms
memory: 3904kb

input:

3427481

output:

1045.143531

result:

ok found '1045.1435310', expected '1045.1435308', error '0.0000000'

Test #30:

score: 0
Accepted
time: 28ms
memory: 3860kb

input:

234987432

output:

8649.266327

result:

ok found '8649.2663270', expected '8649.2663273', error '0.0000000'

Test #31:

score: 0
Accepted
time: 23ms
memory: 3816kb

input:

3242949

output:

1016.643989

result:

ok found '1016.6439890', expected '1016.6439888', error '0.0000000'

Test #32:

score: 0
Accepted
time: 28ms
memory: 3836kb

input:

238423423

output:

8712.268878

result:

ok found '8712.2688780', expected '8712.2688779', error '0.0000000'

Test #33:

score: 0
Accepted
time: 24ms
memory: 3864kb

input:

23784378

output:

2752.147707

result:

ok found '2752.1477070', expected '2752.1477068', error '0.0000000'

Test #34:

score: 0
Accepted
time: 25ms
memory: 3680kb

input:

83246355

output:

5148.270486

result:

ok found '5148.2704860', expected '5148.2704863', error '0.0000000'